مجموعه سوالات ریاضی محض (قسمت دوم به همراه پاسخنامه تشریحی) مجموعه سوالات ریاضی محض (قسمت دوم به همراه پاسخنامه تشریحی)

توضیحات

کتاب مجموعه سوالات ریاضی محض انتشارات راه کنکور، یکی از پرطرفدارترین منابع متقاضیان کنکور دکتری ریاضی محض به‌شمار می‌آید. در حال حاضر درصد بالایی از دانشجویان ارشد رشته‌های ریاضی مایلند با ادامه تحصیل در رشته ریاضی محض، مسیر خود را برای تبدیل‌شدن به استاد دانشگاه یا متخصص علوم ریاضی ادامه دهند. بدون شک قدم اول برای رسیدن به چنین جایگاهی، مطالعه منابع کاربردی و معتبر است., ,

شما می‌توانید اطلاعات مرتبط با قسمت دوم کتاب مجموعه سوالات ریاضی محض کنکور دکتری را از جدول انتهای صفحه مشاهده کنید., ,

معرفی کتاب مجموعه سوالات کنکور دکتری ریاضی محض

,

کتابی که پیش روی شما قرار دارد، جلد دوم مجموعه سوالات کنکورهای 1390 الی 1393 دکتری ریاضی محض است. گردآورنده این کتاب پس از بررسی این چهار دوره آزمون سراسری، سوالات کنکور را به همراه یک پاسخنامه تشریحی کامل، برای دانشجویان، علاقه‌مندان و متقاضیان شرکت در آزمون سراسری دکتری ریاضی محض جمع‌آوری کرده است., ,

زهرا پاشایی، گردآورنده کتب مجموعه سوالات ریاضی محض با تمرکز بر دروس اصلی کنکور ریاضی محض (جبر پیشرفته، آنالیز حقیقی و مبانی ماتریس‌ها) این کتاب را تالیف و برای علاقه‌مندان آماده کرده است., ,

چه سوالاتی در این کتاب پوشش داده شده است؟

,

در حال حاضر شما می‌توانید با تهیه کتاب مجموعه سوالات ریاضی محض (قسمت دوم به همراه پاسخنامه تشریحی) به مجموعه سوالات کنکور دکتری ریاضی محض سال‌های 1393 و 1392 دسترسی داشته باشید. اما اگر مایلید به نمونه سوالات بیشتری دست پیدا کنید، کافی است به صفحه کتاب مجموعه سوالات ریاضی محض (قسمت اول به همراه پاسخنامه تشریحی) سری بزنید., ,

با تهیه هر دو جلد سری کتاب‌های «مجموعه سوالات ریاضی محض» گردآوری زهرا پاشایی، می‌توانید به 4 سری از مهم‌ترین آزمون‌های تاریخ کنکور دکتری ریاضی محض، دسترسی پیدا کنید., ,

راه دکتری؛ ناشر برگزیده کتب کمک‌آموزشی کنکور ارشد و دکتری

,

راه دکتری یکی از ناشران برگزیده و به‌نام در زمینه تالیف و پخش کتب کمک‌آموزشی در مقطع کارشناسی ارشد و دکتری است. همکاری راه دکتری با برترین مولفان و نویسندگان حاضر در حوزه دروس تخصصی دانشگاهی، سبب شده تا کتب این مجموعه یکی از پرطرفدارترین گزینه‌های مطالعاتی برای متقاضیان کنکور سراسری باشد., ,

شما می‌توانید برای خرید آنلاین کتب انتشارات راه‌ دکتری، از طریق پلتفرم بوکت اقدام کنید., ,

نحوه دسترسی به سوالات کنکور ریاضی محض دکتری در مای بوکت چگونه است؟

,

در حال حاضر متاسفانه دسترسی به نسخه چاپی این کتاب برای علاقه‌مندان و دانشجویان میسر نیست. با این حال در صورتی که مایلید نسخه PDF این کتاب را داشته باشید، کافی است از طریق همین صفحه گزینه «خرید ایبوک» را انتخاب کنید., ,

همچنین پیشنهاد می‌کنیم برای آشنایی بیشتر با کتاب، پیش از خرید محصول از پیش‌نمایش کتاب به‌صورت رایگان بازدید کنید.,

-00
-11
-22
-33
-44
-55
-66
-77
-88
-99
-1010
-1111
-1212
-1313
-1414
-1515
-1616
-1717
-1818
-1919
{"id":"641","title":"مجموعه سوالات ریاضی محض (قسمت دوم به همراه پاسخنامه تشریحی)","price":"۱۸‌,‌۰۰۰","ebook_price":"۹‌,‌۰۰۰","rent_3_price":"-۱","rent_6_price":"-۱","rent_12_price":"-۱","print_price":"-۱","front_cover":{"thumbnail":"/storage/files/styles/thumbnail/books/b1703287947a3c4c/front.jpg","large":"/storage/files/styles/large/books/b1703287947a3c4c/front.jpg","medium_rounded":"/storage/files/styles/medium_rounded/books/b1703287947a3c4c/front.jpg","medium":"/storage/files/styles/medium/books/b1703287947a3c4c/front.jpg","medium_zoom_fit":"/storage/files/styles/medium_zoom_fit/anonymous.jpg","medium_trans":"/storage/files/styles/medium_trans/books/b1703287947a3c4c/front.jpg"},"back_cover":{"thumbnail":"/storage/files/styles/thumbnail/books/b1703287947a3c4c/back.jpg","large":"/storage/files/styles/large/books/b1703287947a3c4c/back.jpg","medium_rounded":"/storage/files/styles/medium_rounded/books/b1703287947a3c4c/back.jpg","medium":"/storage/files/styles/medium/books/b1703287947a3c4c/back.jpg","medium_zoom_fit":"/storage/files/styles/medium_zoom_fit/anonymous.jpg","medium_trans":"/storage/files/styles/medium_trans/books/b1703287947a3c4c/back.jpg"},"file":null,"print_book":"0","isbn":"97860095012290","lang":"null","cover_type":"null","dimension":"null","year":"۱۳۹۳","nobat_chap":"1","description":["<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">کتاب مجموعه سوالات ریاضی محض انتشارات راه کنکور، یکی از پرطرفدارترین منابع متقاضیان کنکور دکتری ریاضی محض به&zwnj;شمار می&zwnj;آید. در حال حاضر درصد بالایی از دانشجویان ارشد رشته&zwnj;های ریاضی مایلند با ادامه تحصیل در رشته ریاضی محض، مسیر خود را برای تبدیل&zwnj;شدن به استاد دانشگاه یا متخصص علوم ریاضی ادامه دهند. بدون شک قدم اول برای رسیدن به چنین جایگاهی، مطالعه منابع کاربردی و معتبر است.</span>","\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">شما می&zwnj;توانید اطلاعات مرتبط با قسمت دوم کتاب مجموعه سوالات ریاضی محض کنکور دکتری را از جدول انتهای صفحه مشاهده کنید.</span>","\r","<h2 dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">معرفی کتاب مجموعه سوالات کنکور دکتری ریاضی محض</span></h2>\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">کتابی که پیش روی شما قرار دارد، جلد دوم مجموعه سوالات کنکورهای 1390 الی 1393 دکتری ریاضی محض است. گردآورنده این کتاب پس از بررسی این چهار دوره آزمون سراسری، سوالات کنکور را به همراه یک پاسخنامه تشریحی کامل، برای دانشجویان، علاقه&zwnj;مندان و متقاضیان شرکت در آزمون سراسری دکتری ریاضی محض جمع&zwnj;آوری کرده است.</span>","\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">زهرا پاشایی، گردآورنده کتب مجموعه سوالات ریاضی محض با تمرکز بر دروس اصلی کنکور ریاضی محض (جبر پیشرفته، آنالیز حقیقی و مبانی ماتریس&zwnj;ها) این کتاب را تالیف و برای علاقه&zwnj;مندان آماده کرده است.</span>","\r","<h2 dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">چه سوالاتی در این کتاب پوشش داده شده است؟</span></h2>\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">در حال حاضر شما می&zwnj;توانید با تهیه کتاب مجموعه سوالات ریاضی محض (قسمت دوم به همراه پاسخنامه تشریحی) به مجموعه سوالات کنکور دکتری ریاضی محض سال&zwnj;های 1393 و 1392 دسترسی داشته باشید. اما اگر مایلید به نمونه سوالات بیشتری دست پیدا کنید، کافی است به صفحه </span><a href=\"../../../books/8743deeab194934f/%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87-%D8%B3%D9%88%D8%A7%D9%84%D8%A7%D8%AA-%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C-%D9%85%D8%AD%D8%B6-%D9%82%D8%B3%D9%85%D8%AA-%D8%A7%D9%88%D9%84-%D8%A8%D9%87-%D9%87%D9%85%D8%B1%D8%A7%D9%87-%D9%BE%D8%A7%D8%B3%D8%AE%D9%86%D8%A7%D9%85%D9%87-%D8%AA%D8%B4%D8%B1%DB%8C%D8%AD%DB%8C\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">کتاب مجموعه سوالات ریاضی محض (قسمت اول به همراه پاسخنامه تشریحی)</span></a><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\"> سری بزنید.</span>","\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">با تهیه هر دو جلد سری کتاب&zwnj;های &laquo;مجموعه سوالات ریاضی محض&raquo; گردآوری زهرا پاشایی، می&zwnj;توانید به 4 سری از مهم&zwnj;ترین آزمون&zwnj;های تاریخ کنکور دکتری ریاضی محض، دسترسی پیدا کنید.</span>","\r","<h2 dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">راه دکتری؛ ناشر برگزیده کتب کمک&zwnj;آموزشی کنکور ارشد و دکتری</span></h2>\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">راه دکتری یکی از ناشران برگزیده و به&zwnj;نام در زمینه تالیف و پخش کتب کمک&zwnj;آموزشی در مقطع کارشناسی ارشد و دکتری است. همکاری راه دکتری با برترین مولفان و نویسندگان حاضر در حوزه دروس تخصصی دانشگاهی، سبب شده تا کتب این مجموعه یکی از پرطرفدارترین گزینه&zwnj;های مطالعاتی برای متقاضیان کنکور سراسری باشد.</span>","\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">شما می&zwnj;توانید برای خرید آنلاین کتب انتشارات راه&zwnj; دکتری، از طریق پلتفرم بوکت اقدام کنید.</span>","\r","<h2 dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">نحوه دسترسی به سوالات کنکور ریاضی محض دکتری در مای بوکت چگونه است؟</span></h2>\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">در حال حاضر متاسفانه دسترسی به نسخه چاپی این کتاب برای علاقه&zwnj;مندان و دانشجویان میسر نیست. با این حال در صورتی که مایلید نسخه </span><span dir=\"LTR\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">PDF</span><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\"> این کتاب را<span style=\"mso-spacerun: yes;\"> </span>داشته باشید، کافی است از طریق همین صفحه گزینه &laquo;خرید ایبوک&raquo; را انتخاب کنید.</span>","\r","<p class=\"MsoNormal\" dir=\"RTL\"><span lang=\"FA\" style=\"font-family: 'IRANYekanRd Medium','sans-serif'; mso-hansi-font-family: 'IRANYekanRd Medium';\">همچنین پیشنهاد می&zwnj;کنیم برای آشنایی بیشتر با کتاب، پیش از خرید محصول از پیش&zwnj;نمایش کتاب به&zwnj;صورت رایگان بازدید کنید.</span>",""],"pages_count":"115","keywords":"null","token":"b1703287947a3c4c","created_at":"2017-12-10 15:13:29","updated_at":"2022-08-09 16:54:58","publisher_id":"75","deleted_at":null,"published_at":"2017-12-10 15:13:56","available_for_web":"1","publisher_title":"راه دکتری","edition":null,"currency":"IRR","subtitle":"null","country":"null","exclusive_rights":null,"not_for_sale":null,"rent_1_week_price":"-۱‌,‌.۰۰","meta_desc":"برای خرید نسخه ایبوک کتاب مجموعه سوالات ریاضی محض (قسمت دوم) به همراه پاسخنامه تشریحی همین حالا وارد وبسایت مای بوکت شوید.","meta_title":"کتاب مجموعه سوالات ریاضی محض (قسمت دوم) گردآوری زهرا پاشایی-مای بوکت","stock":"0","authors":[{"id":"1037","title":"زهرا پاشایی","firstname":"زهرا","lastname":"پاشایی","token":"1b7b1cc1c9630b0b","created_at":"2017-12-04 15:54:12","updated_at":"2018-01-16 19:10:05","national_code":null,"role":"writer"}],"writer_authors":[{"id":"1037","title":"زهرا پاشایی","firstname":"زهرا","lastname":"پاشایی","token":"1b7b1cc1c9630b0b","created_at":"2017-12-04 15:54:12","updated_at":"2018-01-16 19:10:05","national_code":null,"role":"writer"}],"translator_authors":[],"views":0,"e_book":{"id":"613","file":"5a2d1de206b986.76765553.pdf","book_id":"641","toc":[{"page":0,"title":"safe aval"},{"page":1,"title":"dorose takhassosi - Copy"}],"created_at":"2017-12-10 15:13:30","updated_at":"2022-08-09 16:54:59","process_started_at":"2017-12-10 15:13:33","process_done_at":"2017-12-10 15:15:59","process_failed_at":null,"pages_count":"115","version":"5.15.2","dir":"rtl","password":"2b27c206480927a3b12cdb6a9614e15cb8ad80474ac5b3d5597c0f5835b691767f1d01e18d88961d63d684cbdeb58d46585d9e290aec6f4383a214090bacf85b","encrypted_data":null,"state":"converting","pages_count_fa":"۱۱۵"},"publisher":{"id":75,"title":"راه دکتری","description":null,"token":"34f63d74e9b8a789","slug":"راه-دکتری"},"study_subjects":[{"id":"442","title":" شبیه‌سازی و مدلسازی ریاضی","token":"0a12989e0623b0b4","type":"","books_count":"20","created_at":"2017-10-07 11:24:01","updated_at":"2022-08-10 06:47:18","study_fields":[{"id":"25","title":"مهندسی مکانیک بیوسیستم","degree_id":"7","token":"46e42fb715907a5b","books_count":"68","created_at":"2017-10-07 11:22:48","updated_at":"2022-08-29 09:26:45","study_groups":[{"id":"10","title":"فنی و مهندسی","token":"cd075d6bdb3fbd29","books_count":"411","created_at":"2017-10-07 11:22:44","updated_at":"2022-04-23 15:05:30"}]}]}],"titleLink":"%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87-%D8%B3%D9%88%D8%A7%D9%84%D8%A7%D8%AA-%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C-%D9%85%D8%AD%D8%B6-%D9%82%D8%B3%D9%85%D8%AA-%D8%AF%D9%88%D9%85-%D8%A8%D9%87-%D9%87%D9%85%D8%B1%D8%A7%D9%87-%D9%BE%D8%A7%D8%B3%D8%AE%D9%86%D8%A7%D9%85%D9%87-%D8%AA%D8%B4%D8%B1%DB%8C%D8%AD%DB%8C","ebook_price_en":"9000","urlify":"%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87-%D8%B3%D9%88%D8%A7%D9%84%D8%A7%D8%AA-%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C-%D9%85%D8%AD%D8%B6-%D9%82%D8%B3%D9%85%D8%AA-%D8%AF%D9%88%D9%85-%D8%A8%D9%87-%D9%87%D9%85%D8%B1%D8%A7%D9%87-%D9%BE%D8%A7%D8%B3%D8%AE%D9%86%D8%A7%D9%85%D9%87-%D8%AA%D8%B4%D8%B1%DB%8C%D8%AD%DB%8C","pages_count_fa":"۱۱۵","authorTitle":"زهرا پاشایی","tocStr":"safe aval, dorose takhassosi - Copy","url":"/preview/b1703287947a3c4c/%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87-%D8%B3%D9%88%D8%A7%D9%84%D8%A7%D8%AA-%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C-%D9%85%D8%AD%D8%B6-%D9%82%D8%B3%D9%85%D8%AA-%D8%AF%D9%88%D9%85-%D8%A8%D9%87-%D9%87%D9%85%D8%B1%D8%A7%D9%87-%D9%BE%D8%A7%D8%B3%D8%AE%D9%86%D8%A7%D9%85%D9%87-%D8%AA%D8%B4%D8%B1%DB%8C%D8%AD%DB%8C"}
{"toc":[{"page":0,"title":"safe aval"},{"page":1,"title":"dorose takhassosi - Copy"}],"pages_count":115,"version":"5.15.2","dir":"rtl","state":"converting","token":"b1703287947a3c4c","status":"SUCCEED","pages":[{"token":null,"index":0,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/aec57b4ff14932626a9b306f4bcf7b44.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/4a39aeefa85b37f894fbd4424e1008cb.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.07855,0.481,0.37085]},"elements":[{"words":[{"str":"نثر","boundary":[0.24627450980392157,0.08382291954062458,0.2645713725490196,0.09806534378304882],"dir":"rtl"},{"str":"فارس","boundary":[0.21352941176470588,0.08382291954062458,0.24246588235294117,0.09806534378304882],"dir":"rtl"}],"boundary":[0.21353,0.08382,0.26457,0.09807],"dir":"rtl","type":"paragraph"},{"words":[{"str":"«","boundary":[0.17490196078431375,0.08382291954062458,0.18264745098039217,0.09806534378304882],"dir":"ltr"},{"str":"1","boundary":[0.18274509803921568,0.07854969696969691,0.18914509803921567,0.09279212121212116],"dir":"ltr"},{"str":"»","boundary":[0.1892156862745098,0.08382291954062458,0.19696117647058822,0.09806534378304882],"dir":"ltr"}],"boundary":[0.1749,0.07855,0.19696,0.09807],"dir":"ltr","type":"paragraph"},{"words":[{"str":"جموعه","boundary":[0.41450980392156866,0.5843110055634472,0.4882280392156863,0.608098884351326],"dir":"rtl"},{"str":"سوالات","boundary":[0.33019607843137255,0.5843110055634472,0.40859098039215686,0.608098884351326],"dir":"rtl"},{"str":"ریاضی","boundary":[0.25058823529411767,0.5843110055634472,0.3241386274509804,0.608098884351326],"dir":"rtl"},{"str":"حض","boundary":[0.1809803921568628,0.5843110055634472,0.23274509803921573,0.608098884351326],"dir":"rtl"},{"str":"(","boundary":[0.21058823529411747,0.6073445454545456,0.21805450980392135,0.6215869696969699],"dir":"ltr"},{"str":")","boundary":[0.4635294117647057,0.6073445454545456,0.5189988235294115,0.6215869696969699],"dir":"ltr"},{"str":"قسمت","boundary":[0.42372549019607825,0.6149107776988638,0.5116854901960782,0.6291532019412881],"dir":"rtl"},{"str":"دوم","boundary":[0.39411764705882335,0.6149107776988638,0.42026823529411744,0.6291532019412881],"dir":"rtl"},{"str":"به","boundary":[0.37784313725490176,0.6149107776988638,0.3908403921568625,0.6291532019412881],"dir":"rtl"},{"str":"همراه","boundary":[0.3358823529411763,0.6149107776988638,0.3743156862745096,0.6291532019412881],"dir":"rtl"},{"str":"پاسخنا","boundary":[0.29137254901960763,0.6149107776988638,0.33262431372549,0.6291532019412881],"dir":"rtl"},{"str":"ه","boundary":[0.2756862745098037,0.6149107776988638,0.28411764705882336,0.6291532019412881],"dir":"rtl"},{"str":"تشریحی","boundary":[0.21784313725490176,0.6149107776988638,0.271969019607843,0.6291532019412881],"dir":"rtl"}],"boundary":[0.18098,0.58431,0.519,0.62915],"dir":"rtl","type":"paragraph"}]},{"token":null,"index":1,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/bf2511d5a18ecdf8621972120b1c0791.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/7bfb8d7b16a7f6eca4bbdb56d25f664d.jpg"},"info":{"width":612,"height":792,"margin":[0.12294,0.07276,0.31823,0.05224]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.2584313725490196,0.07276231348001853,0.3095635294117647,0.08700473772244277],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07276231348001853,0.2547070588235294,0.08700473772244277],"dir":"rtl"},{"str":"ریاض","boundary":[0.17529882352941178,0.07276231348001853,0.20426274509803924,0.08700473772244277],"dir":"rtl"}],"boundary":[0.1753,0.07276,0.30956,0.087],"dir":"rtl","type":"paragraph"},{"words":[{"str":"جموعه","boundary":[0.5707843137254901,0.31273148970170456,0.6817745098039214,0.3483375503077652],"dir":"rtl"},{"str":"سوالات","boundary":[0.4447058823529411,0.31273148970170456,0.5615676470588236,0.3483375503077652],"dir":"rtl"},{"str":"ریاضی","boundary":[0.3250980392156863,0.31273148970170456,0.4356343137254902,0.3483375503077652],"dir":"rtl"},{"str":"حض","boundary":[0.22058823529411756,0.31273148970170456,0.29843137254901947,0.3483375503077652],"dir":"rtl"},{"str":"(","boundary":[0.30803921568627446,0.38785000000000003,0.3166823529411764,0.4045166666666667],"dir":"ltr"},{"str":")","boundary":[0.6031372549019607,0.38785000000000003,0.6117480392156861,0.4045166666666667],"dir":"ltr"},{"str":"قسمت","boundary":[0.5568627450980391,0.3967041015625,0.6034490196078431,0.4133707682291667],"dir":"rtl"},{"str":"دوم","boundary":[0.5223529411764705,0.3967041015625,0.5526735294117646,0.4133707682291667],"dir":"rtl"},{"str":"به","boundary":[0.5033333333333333,0.3967041015625,0.5183509803921569,0.4133707682291667],"dir":"rtl"},{"str":"همراه","boundary":[0.4545098039215686,0.3967041015625,0.4996254901960783,0.4133707682291667],"dir":"rtl"},{"str":"پاسخنا","boundary":[0.40218235294117644,0.3967041015625,0.45052352941176466,0.4133707682291667],"dir":"rtl"},{"str":"ه","boundary":[0.38392156862745097,0.3967041015625,0.393921568627451,0.4133707682291667],"dir":"rtl"},{"str":"تشریحی","boundary":[0.31686274509803913,0.3967041015625,0.37985490196078425,0.4133707682291667],"dir":"rtl"}],"boundary":[0.22059,0.31273,0.68177,0.41337],"dir":"rtl","type":"paragraph"},{"words":[{"str":"محض","boundary":[0.12294117647058822,0.07276231348001853,0.15857803921568625,0.08700473772244277],"dir":"rtl"}],"boundary":[0.12294,0.07276,0.15858,0.087],"dir":"rtl","type":"paragraph"},{"words":[{"str":"2","boundary":[0.14333333333333334,0.9332466666666668,0.15245999327686274,0.9477578169696972],"dir":"ltr"}],"boundary":[0.14333,0.93325,0.15246,0.94776],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":2,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/fa6a9aa8ba41853a942ae0af331775ce.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/00f10bba0dffa9a32e88ab5dbdd2ff58.jpg"},"info":{"width":612,"height":792,"margin":[0.15686,0.06988,0.10909,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149673202614,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358557843137255,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666993464053,0.06988352560123068,0.7854345424836603,0.08412594984365493],"dir":"rtl"}],"boundary":[0.75667,0.06988,0.89091,0.08413],"dir":"rtl","type":"paragraph"},{"words":[{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403428104575164,0.08412594984365493],"dir":"rtl"}],"boundary":[0.70431,0.06988,0.74034,0.08413],"dir":"rtl","type":"paragraph"},{"words":[{"str":":","boundary":[0.6850980392156862,0.12722606060606056,0.6868764705882352,0.1373775757575757],"dir":"ltr"},{"str":"پاش","boundary":[0.6670588235294118,0.13230158025568176,0.6834656209150327,0.14245309540719692],"dir":"rtl"},{"str":"ایی","boundary":[0.6366666666666666,0.13230158025568176,0.6407844444444444,0.14245309540719692],"dir":"rtl"},{"str":"،","boundary":[0.6337254901960784,0.13230158025568176,0.6366666013071896,0.14245309540719692],"dir":"ltr"},{"str":"زهرا","boundary":[0.6076470588235294,0.13230158025568176,0.6310064705882352,0.14245309540719692],"dir":"rtl"},{"str":"1367","boundary":[0.5733333333333334,0.12722606060606056,0.6020659803921569,0.1373775757575757],"dir":"ltr"},{"str":"،","boundary":[0.6047058823529412,0.13230158025568176,0.6076469934640523,0.14245309540719692],"dir":"ltr"},{"str":"گرد","boundary":[0.5529422875816993,0.13230158025568176,0.5738865686274509,0.14245309540719692],"dir":"rtl"},{"str":"،","boundary":[0.5580397058823529,0.13230158025568176,0.560720882352941,0.14245309540719692],"dir":"ltr"},{"str":"-","boundary":[0.5635294117647058,0.12722606060606056,0.5695117647058824,0.1373775757575757],"dir":"ltr"},{"str":"آ","boundary":[0.547452091503268,0.13230158025568176,0.5529421568627452,0.14245309540719692],"dir":"rtl"},{"str":"ورنده","boundary":[0.49745098039215685,0.13230158025568176,0.5098041830065358,0.14245309540719692],"dir":"rtl"},{"str":":","boundary":[0.6850980392156862,0.14737757575757576,0.6868764705882352,0.1575290909090909],"dir":"ltr"},{"str":"مج","boundary":[0.664534248366013,0.15245309540719695,0.6785385620915033,0.16260461055871211],"dir":"rtl"},{"str":"موع","boundary":[0.6368899673202614,0.15245309540719695,0.648402156862745,0.16260461055871211],"dir":"rtl"},{"str":"سوالات","boundary":[0.5874506535947713,0.15245309540719695,0.6259555882352942,0.16260461055871211],"dir":"rtl"},{"str":"ریاضی","boundary":[0.5515686274509803,0.15245309540719695,0.5848226797385621,0.16260461055871211],"dir":"rtl"},{"str":"محضقس","boundary":[0.5125647058823529,0.15245309540719695,0.5489062745098039,0.16260461055871211],"dir":"rtl"},{"str":")","boundary":[0.5137254901960784,0.14737757575757576,0.5171198039215685,0.1575290909090909],"dir":"ltr"},{"str":"مت","boundary":[0.4762745098039216,0.15245309540719695,0.48313732026143796,0.16260461055871211],"dir":"rtl"},{"str":"دوم","boundary":[0.45274509803921564,0.15245309540719695,0.47355150326797385,0.16260461055871211],"dir":"rtl"},{"str":"ب","boundary":[0.44688915032679744,0.15245309540719695,0.4500158169934641,0.16260461055871211],"dir":"rtl"},{"str":"همراهپا","boundary":[0.4050973856209151,0.15245309540719695,0.4359998366013072,0.16260461055871211],"dir":"rtl"},{"str":":","boundary":[0.6850980392156862,0.1673775757575758,0.6868764705882352,0.17752909090909094],"dir":"ltr"},{"str":"تهران","boundary":[0.6421563725490196,0.172453095407197,0.6704242810457517,0.18260461055871213],"dir":"rtl"},{"str":":","boundary":[0.6394112418300654,0.1673775757575758,0.6421300326797386,0.17752909090909094],"dir":"ltr"},{"str":"انتشارا","boundary":[0.606667614379085,0.172453095407197,0.6394896078431372,0.18260461055871213],"dir":"rtl"},{"str":"ت","boundary":[0.5911774183006536,0.172453095407197,0.6011775490196078,0.18260461055871213],"dir":"rtl"},{"str":"راه","boundary":[0.5731372549019608,0.172453095407197,0.5884227450980392,0.18260461055871213],"dir":"rtl"},{"str":"دکتري","boundary":[0.5358823529411765,0.172453095407197,0.5702486274509804,0.18260461055871213],"dir":"rtl"},{"str":".","boundary":[0.5,0.1673775757575758,0.5017915686274509,0.17752909090909094],"dir":"ltr"},{"str":"1393","boundary":[0.5027450980392157,0.1673775757575758,0.5303690849673203,0.17752909090909094],"dir":"ltr"},{"str":"،","boundary":[0.5329411764705883,0.172453095407197,0.534811568627451,0.18260461055871213],"dir":"ltr"},{"str":"115","boundary":[0.6507843137254902,0.18752909090909084,0.6675474509803921,0.197680606060606],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.18752909090909084,0.6868764705882352,0.197680606060606],"dir":"ltr"},{"str":"ص","boundary":[0.6321568627450981,0.19260461055871206,0.646980588235294,0.2027561257102272],"dir":"rtl"},{"str":".","boundary":[0.6296078431372549,0.18752909090909084,0.6313994117647058,0.197680606060606],"dir":"ltr"},{"str":"9","boundary":[0.5701960784313725,0.20752909090909089,0.5759945098039215,0.21768060606060602],"dir":"ltr"},{"str":"7","boundary":[0.5770588235294118,0.20752909090909089,0.5845519607843138,0.21768060606060602],"dir":"ltr"},{"str":"8","boundary":[0.5854901960784313,0.20752909090909089,0.5929833333333333,0.21768060606060602],"dir":"ltr"},{"str":"-","boundary":[0.5937254901960785,0.20989439393939394,0.5971198039215686,0.22004590909090907],"dir":"ltr"},{"str":"6","boundary":[0.5982352941176471,0.20752909090909089,0.6048350980392158,0.21768060606060602],"dir":"ltr"},{"str":"0","boundary":[0.6058823529411765,0.20752909090909089,0.6089613725490196,0.21768060606060602],"dir":"ltr"},{"str":"0","boundary":[0.6098039215686274,0.20752909090909089,0.6128829411764706,0.21768060606060602],"dir":"ltr"},{"str":"-","boundary":[0.6137254901960785,0.20989439393939394,0.6171198039215686,0.22004590909090907],"dir":"ltr"},{"str":"9","boundary":[0.6180392156862745,0.20752909090909089,0.6238376470588235,0.21768060606060602],"dir":"ltr"},{"str":"5","boundary":[0.6249019607843137,0.20752909090909089,0.6316725490196078,0.21768060606060602],"dir":"ltr"},{"str":"0","boundary":[0.6327450980392157,0.20752909090909089,0.6358241176470588,0.21768060606060602],"dir":"ltr"},{"str":"1","boundary":[0.6366666666666666,0.20752909090909089,0.6401923529411764,0.21768060606060602],"dir":"ltr"},{"str":"2","boundary":[0.6411764705882352,0.20752909090909089,0.6472113725490195,0.21768060606060602],"dir":"ltr"},{"str":"-","boundary":[0.6480392156862745,0.20989439393939394,0.6514335294117647,0.22004590909090907],"dir":"ltr"},{"str":"2","boundary":[0.6523529411764706,0.20752909090909089,0.6583878431372548,0.21768060606060602],"dir":"ltr"},{"str":"-","boundary":[0.6594117647058824,0.20989439393939394,0.6628060784313725,0.22004590909090907],"dir":"ltr"},{"str":"9","boundary":[0.6637254901960784,0.20752909090909089,0.6695239215686274,0.21768060606060602],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.20752909090909089,0.6868764705882352,0.21768060606060602],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.22768060606060608,0.6868764705882352,0.23783212121212122],"dir":"ltr"},{"str":"فیپا","boundary":[0.6531372549019608,0.2327561257102273,0.6702937254901961,0.24290764086174244],"dir":"rtl"},{"str":"دا","boundary":[0.6811560130718954,0.2527561257102273,0.6912461437908497,0.26290764086174245],"dir":"rtl"},{"str":":","boundary":[0.6850980392156862,0.24768060606060613,0.6868764705882352,0.2578321212121213],"dir":"ltr"},{"str":"نش","boundary":[0.6572450653594771,0.2527561257102273,0.6603717647058823,0.26290764086174245],"dir":"rtl"},{"str":"گاهها","boundary":[0.6190196078431374,0.2527561257102273,0.6360685294117647,0.26290764086174245],"dir":"rtl"},{"str":"و","boundary":[0.6103921568627452,0.2527561257102273,0.6161856862745099,0.26290764086174245],"dir":"rtl"},{"str":"مدارس","boundary":[0.5676533986928105,0.2527561257102273,0.6077218300653595,0.26290764086174245],"dir":"rtl"},{"str":"عالی","boundary":[0.5423529411764706,0.2527561257102273,0.5649634640522876,0.26290764086174245],"dir":"rtl"},{"str":"--","boundary":[0.525882320261438,0.24768060606060613,0.5399999673202615,0.2578321212121213],"dir":"ltr"},{"str":"ایران","boundary":[0.4980392156862745,0.2527561257102273,0.5232067973856209,0.26290764086174245],"dir":"rtl"},{"str":"--","boundary":[0.48156859477124186,0.24768060606060613,0.49529408496732025,0.2578321212121213],"dir":"ltr"},{"str":"آزمونها","boundary":[0.4343137254901961,0.2527561257102273,0.4788173529411765,0.26290764086174245],"dir":"rtl"},{"str":":","boundary":[0.6850980392156862,0.2678321212121212,0.6868764705882352,0.2779836363636363],"dir":"ltr"},{"str":"آزموندو","boundary":[0.6274814379084968,0.2729076408617424,0.6703853267973857,0.28305915601325754],"dir":"rtl"},{"str":"رههاي","boundary":[0.5874506535947713,0.2729076408617424,0.6145402614379085,0.28305915601325754],"dir":"rtl"},{"str":"تحصیلات","boundary":[0.5372545751633987,0.2729076408617424,0.5848434640522876,0.28305915601325754],"dir":"rtl"},{"str":"تکمیلی","boundary":[0.5003921568627451,0.2729076408617424,0.5347333333333333,0.28305915601325754],"dir":"rtl"},{"str":"--","boundary":[0.48372549019607847,0.2678321212121212,0.497843137254902,0.2779836363636363],"dir":"ltr"},{"str":"ایران","boundary":[0.45607843137254905,0.2729076408617424,0.48085385620915033,0.28305915601325754],"dir":"rtl"},{"str":":","boundary":[0.6850980392156862,0.2878321212121212,0.6868764705882352,0.29798363636363634],"dir":"ltr"},{"str":"ریاضیات","boundary":[0.6264705882352942,0.2929076408617424,0.6705110784313726,0.30305915601325756],"dir":"rtl"},{"str":"--","boundary":[0.61,0.2878321212121212,0.6237254901960784,0.29798363636363634],"dir":"ltr"},{"str":"آزمونها","boundary":[0.5629411764705882,0.2929076408617424,0.6072487254901962,0.30305915601325756],"dir":"rtl"},{"str":"تمور","boundary":[0.5437255555555556,0.2929076408617424,0.5617995424836603,0.30305915601325756],"dir":"rtl"},{"str":"ینها","boundary":[0.5084313725490196,0.2929076408617424,0.5229411764705882,0.30305915601325756],"dir":"rtl"},{"str":")","boundary":[0.5013725490196078,0.2878321212121212,0.504766862745098,0.29798363636363634],"dir":"ltr"},{"str":"عالی","boundary":[0.47882352941176476,0.2929076408617424,0.5014340522875818,0.30305915601325756],"dir":"rtl"},{"str":"(","boundary":[0.4745098039215686,0.2878321212121212,0.47790411764705876,0.29798363636363634],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.3079836363636364,0.6868764705882352,0.31813515151515154],"dir":"ltr"},{"str":"ریاضیات","boundary":[0.6264705882352942,0.3130591560132576,0.6705110784313726,0.32321067116477276],"dir":"rtl"},{"str":"--","boundary":[0.61,0.3079836363636364,0.6237254901960784,0.31813515151515154],"dir":"ltr"},{"str":"راهنماي","boundary":[0.5668627450980392,0.3130591560132576,0.6072667973856208,0.32321067116477276],"dir":"rtl"},{"str":"آموزشی","boundary":[0.5205882352941177,0.3130591560132576,0.5639719607843137,0.32321067116477276],"dir":"rtl"},{"str":")","boundary":[0.5135294117647058,0.3079836363636364,0.516923725490196,0.31813515151515154],"dir":"ltr"},{"str":"عالی","boundary":[0.4909803921568628,0.3130591560132576,0.5135909150326798,0.32321067116477276],"dir":"rtl"},{"str":"(","boundary":[0.48666666666666664,0.3079836363636364,0.4900609803921568,0.31813515151515154],"dir":"ltr"},{"str":"1","boundary":[0.570392156862745,0.32798363636363626,0.5739178431372548,0.33813515151515144],"dir":"ltr"},{"str":"8","boundary":[0.5749019607843137,0.32798363636363626,0.5823950980392156,0.33813515151515144],"dir":"ltr"},{"str":"3","boundary":[0.5833333333333334,0.32798363636363626,0.5904849019607843,0.33813515151515144],"dir":"ltr"},{"str":"1","boundary":[0.5947058823529412,0.32798363636363626,0.598231568627451,0.33813515151515144],"dir":"ltr"},{"str":"3","boundary":[0.5992156862745098,0.32798363636363626,0.6063672549019609,0.33813515151515144],"dir":"ltr"},{"str":"9","boundary":[0.6072549019607842,0.32798363636363626,0.6130533333333332,0.33813515151515144],"dir":"ltr"},{"str":"3","boundary":[0.6141176470588234,0.32798363636363626,0.6212692156862745,0.33813515151515144],"dir":"ltr"},{"str":"2353LB","boundary":[0.6221568627450981,0.32798363636363626,0.6705881699346404,0.3405004545454545],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.32798363636363626,0.6868764705882352,0.33813515151515144],"dir":"ltr"},{"str":"پ","boundary":[0.5576470588235294,0.33305915601325753,0.5695017647058823,0.3432106711647727],"dir":"rtl"},{"str":"/","boundary":[0.5539264705882353,0.33034893939393933,0.5565982352941176,0.3405004545454545],"dir":"ltr"},{"str":"1664","boundary":[0.6149019607843137,0.34813515151515145,0.6407069607843138,0.35828666666666664],"dir":"ltr"},{"str":"/","boundary":[0.6403921568627451,0.34813515151515145,0.644561568627451,0.35828666666666664],"dir":"ltr"},{"str":"378","boundary":[0.6454901960784314,0.34813515151515145,0.670392091503268,0.35828666666666664],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.34813515151515145,0.6868764705882352,0.35828666666666664],"dir":"ltr"},{"str":"3","boundary":[0.6178431372549019,0.3681351515151515,0.624994705882353,0.3782866666666667],"dir":"ltr"},{"str":"6","boundary":[0.6258823529411766,0.3681351515151515,0.6324821568627451,0.3782866666666667],"dir":"ltr"},{"str":"8","boundary":[0.6335294117647059,0.3681351515151515,0.6410225490196079,0.3782866666666667],"dir":"ltr"},{"str":"3","boundary":[0.6419607843137255,0.3681351515151515,0.6491123529411764,0.3782866666666667],"dir":"ltr"},{"str":"6","boundary":[0.65,0.3681351515151515,0.6565998039215687,0.3782866666666667],"dir":"ltr"},{"str":"2","boundary":[0.6576470588235295,0.3681351515151515,0.6636819607843137,0.3782866666666667],"dir":"ltr"},{"str":"4","boundary":[0.6647058823529411,0.3681351515151515,0.6696635294117648,0.3782866666666667],"dir":"ltr"},{"str":":","boundary":[0.6850980392156862,0.3681351515151515,0.6868764705882352,0.3782866666666667],"dir":"ltr"}],"boundary":[0.4051,0.12723,0.69125,0.37829],"dir":"ltr","type":"paragraph"},{"words":[{"str":"سرش","boundary":[0.8147058823529412,0.13230158025568176,0.8409015686274509,0.14245309540719692],"dir":"rtl"},{"str":"ناس","boundary":[0.7841176470588235,0.13230158025568176,0.7880390849673202,0.14245309540719692],"dir":"rtl"},{"str":"عنوان","boundary":[0.7996141830065359,0.15245309540719695,0.8276648039215686,0.16260461055871211],"dir":"rtl"},{"str":"و","boundary":[0.7909867320261438,0.15245309540719695,0.7967466013071894,0.16260461055871211],"dir":"rtl"},{"str":"ناپدیم","boundary":[0.7715388888888889,0.15245309540719695,0.7881911111111111,0.16260461055871211],"dir":"rtl"},{"str":"دآور","boundary":[0.7272549019607842,0.15245309540719695,0.737028954248366,0.16260461055871211],"dir":"rtl"},{"str":"مشخ","boundary":[0.8202094444444444,0.172453095407197,0.8445539215686274,0.18260461055871213],"dir":"rtl"},{"str":"صات","boundary":[0.7758823529411765,0.172453095407197,0.7864706862745098,0.18260461055871213],"dir":"rtl"},{"str":"نشر","boundary":[0.7519607843137255,0.172453095407197,0.7730747058823529,0.18260461055871213],"dir":"rtl"},{"str":"مشخصات","boundary":[0.7758886928104576,0.19260461055871206,0.8276843790849674,0.2027561257102272],"dir":"rtl"},{"str":"ظاهري","boundary":[0.7364705882352942,0.19260461055871206,0.7730356209150326,0.2027561257102272],"dir":"rtl"},{"str":"شابک","boundary":[0.7970588235294118,0.2126046105587121,0.8275832679738562,0.22275612571022724],"dir":"rtl"},{"str":"وضعیتفه","boundary":[0.7839028758169935,0.2327561257102273,0.827616797385621,0.24290764086174244],"dir":"rtl"},{"str":"رست","boundary":[0.7433333333333334,0.2327561257102273,0.765863660130719,0.24290764086174244],"dir":"rtl"},{"str":"نویسی","boundary":[0.7070588235294119,0.2327561257102273,0.7404491176470588,0.24290764086174244],"dir":"rtl"},{"str":"مو","boundary":[0.8296077124183007,0.2527561257102273,0.8421375816993464,0.26290764086174245],"dir":"rtl"},{"str":"ضوع","boundary":[0.7909803921568627,0.2527561257102273,0.8005881699346404,0.26290764086174245],"dir":"rtl"},{"str":"مو","boundary":[0.8296077124183007,0.2729076408617424,0.8421375816993464,0.28305915601325754],"dir":"rtl"},{"str":"ضوع","boundary":[0.7909803921568627,0.2729076408617424,0.8005881699346404,0.28305915601325754],"dir":"rtl"},{"str":"مو","boundary":[0.8296077124183007,0.2929076408617424,0.8421375816993464,0.30305915601325756],"dir":"rtl"},{"str":"ضوع","boundary":[0.7909803921568627,0.2929076408617424,0.8005881699346404,0.30305915601325756],"dir":"rtl"},{"str":"مو","boundary":[0.8296077124183007,0.3130591560132576,0.8421375816993464,0.32321067116477276],"dir":"rtl"},{"str":"ضوع","boundary":[0.7909803921568627,0.3130591560132576,0.8005881699346404,0.32321067116477276],"dir":"rtl"},{"str":"رده","boundary":[0.8072549019607843,0.33305915601325753,0.8277805882352941,0.3432106711647727],"dir":"rtl"},{"str":"بن","boundary":[0.8072549019607843,0.33305915601325753,0.8142308496732026,0.3432106711647727],"dir":"rtl"},{"str":"دي","boundary":[0.7780392156862745,0.33305915601325753,0.7876469281045753,0.3432106711647727],"dir":"rtl"},{"str":"کنگره","boundary":[0.7454901960784314,0.33305915601325753,0.7752532679738562,0.3432106711647727],"dir":"rtl"},{"str":"ردهبن","boundary":[0.8072544117647058,0.3532106711647727,0.8277800980392156,0.3633621863162879],"dir":"rtl"},{"str":"دي","boundary":[0.7780392156862745,0.3532106711647727,0.7876469281045753,0.3633621863162879],"dir":"rtl"},{"str":"دیویی","boundary":[0.7447058823529411,0.3532106711647727,0.7754908496732026,0.3633621863162879],"dir":"rtl"},{"str":"شما","boundary":[0.8141481045751634,0.37321067116477274,0.8342509150326797,0.38336218631628793],"dir":"rtl"},{"str":"ره","boundary":[0.7947055555555556,0.37321067116477274,0.8008141176470588,0.38336218631628793],"dir":"rtl"},{"str":"کتابشناسی","boundary":[0.7374509803921568,0.37321067116477274,0.7919347712418301,0.38336218631628793],"dir":"rtl"},{"str":"ملی","boundary":[0.7149019607843137,0.37321067116477274,0.7347004575163399,0.38336218631628793],"dir":"rtl"}],"boundary":[0.70706,0.1323,0.84455,0.38336],"dir":"ltr","type":"paragraph"},{"words":[{"str":"سخنام","boundary":[0.36414477124183003,0.15245309540719695,0.37904647058823526,0.16260461055871211],"dir":"rtl"}],"boundary":[0.36414,0.15245,0.37905,0.1626],"dir":"rtl","type":"paragraph"},{"words":[{"str":"تشریحی","boundary":[0.310196568627451,0.15245309540719695,0.35319369281045754,0.16260461055871211],"dir":"rtl"},{"str":"/(","boundary":[0.3007847712418301,0.14737757575757576,0.31022921568627454,0.1575290909090909],"dir":"ltr"},{"str":"گردآو","boundary":[0.2684318954248366,0.15245309540719695,0.3007487254901961,0.16260461055871211],"dir":"rtl"},{"str":"رنده","boundary":[0.24000000000000005,0.15245309540719695,0.26254954248366014,0.16260461055871211],"dir":"rtl"},{"str":"زهراپاش","boundary":[0.19803918300653595,0.15245309540719695,0.2372809803921569,0.16260461055871211],"dir":"rtl"},{"str":"ایی","boundary":[0.17725490196078433,0.15245309540719695,0.1913726470588235,0.16260461055871211],"dir":"rtl"},{"str":".","boundary":[0.17470588235294118,0.14737757575757576,0.17649745098039216,0.1575290909090909],"dir":"ltr"}],"boundary":[0.17471,0.14738,0.35319,0.1626],"dir":"rtl","type":"paragraph"},{"words":[{"str":"مجموعه","boundary":[0.6958823529411765,0.6038428474195076,0.7597517647058823,0.6215701201467804],"dir":"rtl"},{"str":"سوالا","boundary":[0.6501960784313726,0.6038428474195076,0.6913622222222223,0.6215701201467804],"dir":"rtl"},{"str":"ریاضی","boundary":[0.5737254901960784,0.6038428474195076,0.6286527450980393,0.6215701201467804],"dir":"rtl"},{"str":"محضقس","boundary":[0.5080392156862744,0.6038428474195076,0.5695745098039217,0.6215701201467804],"dir":"rtl"},{"str":"مت","boundary":[0.467451633986928,0.6056400923295455,0.47627581699346383,0.6207916074810607],"dir":"rtl"},{"str":"دوم","boundary":[0.43607843137254904,0.6056400923295455,0.46358823529411763,0.6207916074810607],"dir":"rtl"},{"str":"به","boundary":[0.4186274509803921,0.6056400923295455,0.4321764705882352,0.6207916074810607],"dir":"rtl"},{"str":"همراهپاس","boundary":[0.36437254901960786,0.6056400923295455,0.41447058823529415,0.6207916074810607],"dir":"rtl"},{"str":"خناتش","boundary":[0.32294117647058823,0.6056400923295455,0.3533921568627451,0.6207916074810607],"dir":"rtl"},{"str":"مه","boundary":[0.31,0.6056400923295455,0.3174509803921568,0.6207916074810607],"dir":"rtl"},{"str":":","boundary":[0.7833328431372549,0.6419463636363636,0.786666339869281,0.6545221212121213],"dir":"ltr"},{"str":"ناشر","boundary":[0.8184313725490197,0.6667655806107954,0.8434179084967319,0.6793413381865531],"dir":"rtl"},{"str":":","boundary":[0.8152941176470588,0.6619463636363636,0.818512091503268,0.6745221212121213],"dir":"ltr"},{"str":"صفحه","boundary":[0.8094117647058824,0.6867655806107955,0.8434581699346406,0.6993413381865531],"dir":"rtl"},{"str":"آرایی","boundary":[0.7754901960784314,0.6867655806107955,0.8058756209150327,0.6993413381865531],"dir":"rtl"},{"str":":","boundary":[0.7719607843137255,0.6819463636363637,0.7764225490196078,0.6945221212121213],"dir":"ltr"},{"str":"تی","boundary":[0.8426381372549021,0.7067655806107953,0.8525655882352943,0.719341338186553],"dir":"rtl"},{"str":"راژ","boundary":[0.8166666666666667,0.7067655806107953,0.8241174836601307,0.719341338186553],"dir":"rtl"},{"str":":","boundary":[0.8133333333333334,0.7019463636363636,0.8177950980392157,0.7145221212121212],"dir":"ltr"},{"str":"شابک","boundary":[0.8098045751633988,0.7267655806107954,0.8433507843137255,0.739341338186553],"dir":"rtl"},{"str":":","boundary":[0.8064712418300654,0.7219463636363637,0.8097261437908497,0.7345221212121212],"dir":"ltr"},{"str":"نشانی","boundary":[0.8098039215686275,0.7478261866714014,0.8433645751633988,0.760401944247159],"dir":"rtl"},{"str":":","boundary":[0.8064401960784314,0.7430069696969697,0.8096950980392157,0.7555827272727272],"dir":"ltr"},{"str":"سی","boundary":[0.7874510130718955,0.7478261866714014,0.8028629738562092,0.760401944247159],"dir":"rtl"},{"str":"خن","boundary":[0.7637255555555555,0.7478261866714014,0.7783075163398693,0.760401944247159],"dir":"rtl"},{"str":"ان","boundary":[0.7382352941176471,0.7478261866714014,0.751372614379085,0.760401944247159],"dir":"rtl"},{"str":"،","boundary":[0.7307843137254904,0.7478261866714014,0.7346766339869282,0.760401944247159],"dir":"ltr"},{"str":"خیاباارن","boundary":[0.6905879084967321,0.7478261866714014,0.7273316993464053,0.760401944247159],"dir":"rtl"},{"str":"سبارا","boundary":[0.6519607843137255,0.7478261866714014,0.6617648366013072,0.760401944247159],"dir":"rtl"},{"str":"ن،کوچهستا","boundary":[0.5841308823529412,0.7478261866714014,0.6441177124183005,0.760401944247159],"dir":"rtl"},{"str":"ري،پ","boundary":[0.5472549019607843,0.7478261866714014,0.5766797058823531,0.760401944247159],"dir":"rtl"},{"str":"طبقه","boundary":[0.49607843137254903,0.7478261866714014,0.5239706862745098,0.760401944247159],"dir":"rtl"},{"str":"دوم","boundary":[0.4711764705882352,0.7478261866714014,0.49285594771241836,0.760401944247159],"dir":"rtl"},{"str":"تلفن","boundary":[0.8168625816993464,0.7678261866714015,0.8432360784313727,0.780401944247159],"dir":"rtl"},{"str":"2","boundary":[0.753137091503268,0.7630069696969697,0.7609801633986929,0.7755827272727273],"dir":"ltr"},{"str":":","boundary":[0.8135292483660131,0.7630069696969697,0.8179910130718955,0.7755827272727273],"dir":"ltr"},{"str":"Phdkonkoor.com","boundary":[0.42803921568627457,0.783469696969697,0.5724117647058824,0.7986212121212122],"dir":"ltr"},{"str":"***","boundary":[0.6398042483660131,0.8051281818181818,0.6662750326797386,0.8177039393939395],"dir":"ltr"},{"str":"کلیه","boundary":[0.6152947712418301,0.8099473987926136,0.6398775163398693,0.8225231563683711],"dir":"rtl"},{"str":"حقوق","boundary":[0.5792156862745097,0.8099473987926136,0.6118934640522875,0.8225231563683711],"dir":"rtl"},{"str":"مادي","boundary":[0.5472549019607843,0.8099473987926136,0.5756873202614379,0.8225231563683711],"dir":"rtl"},{"str":"و","boundary":[0.5374509803921569,0.8099473987926136,0.5436678431372549,0.8225231563683711],"dir":"rtl"},{"str":"معنوي","boundary":[0.4982352941176471,0.8099473987926136,0.5338403267973856,0.8225231563683711],"dir":"rtl"},{"str":"این","boundary":[0.4762745098039216,0.8099473987926136,0.49476418300653596,0.8225231563683711],"dir":"rtl"},{"str":"اثر","boundary":[0.45784313725490206,0.8099473987926136,0.47258509803921567,0.8225231563683711],"dir":"rtl"},{"str":"محفوظ","boundary":[0.4147058823529412,0.8099473987926136,0.45425173202614383,0.8225231563683711],"dir":"rtl"},{"str":"می","boundary":[0.3941176470588236,0.8099473987926136,0.4111082352941177,0.8225231563683711],"dir":"rtl"},{"str":"باش","boundary":[0.3731372549019608,0.8099473987926136,0.3906522549019608,0.8225231563683711],"dir":"rtl"},{"str":"***.","boundary":[0.33431372549019606,0.8051281818181818,0.3641073202614379,0.8177039393939395],"dir":"ltr"}],"boundary":[0.31,0.60384,0.85257,0.82252],"dir":"ltr","type":"paragraph"},{"words":[{"str":"(","boundary":[0.24058823529411766,0.5975909090909092,0.24839215686274513,0.6127424242424243],"dir":"ltr"},{"str":"ریحی","boundary":[0.24843137254901965,0.6056400923295455,0.25784313725490204,0.6207916074810607],"dir":"rtl"},{"str":"زه","boundary":[0.21337343137254902,0.6467655806107954,0.2264982026143791,0.659341338186553],"dir":"rtl"},{"str":"را","boundary":[0.1996073529411764,0.6467655806107954,0.20705767973856196,0.659341338186553],"dir":"rtl"},{"str":"پاشایی","boundary":[0.15705833333333327,0.6467655806107954,0.19605258169934636,0.659341338186553],"dir":"rtl"},{"str":"انتشارات","boundary":[0.22196078431372548,0.6667655806107954,0.2716629738562092,0.6793413381865531],"dir":"rtl"},{"str":"راهدکت","boundary":[0.18686281045751635,0.6667655806107954,0.21335352941176472,0.6793413381865531],"dir":"rtl"},{"str":"ري","boundary":[0.15705882352941178,0.6667655806107954,0.16450980392156866,0.6793413381865531],"dir":"rtl"},{"str":"مهناز","boundary":[0.18941176470588234,0.6867655806107955,0.21893627450980394,0.6993413381865531],"dir":"rtl"},{"str":"تقوي","boundary":[0.15705882352941178,0.6867655806107955,0.18584614379084965,0.6993413381865531],"dir":"rtl"},{"str":"نسخه","boundary":[0.15705931372549023,0.7067655806107953,0.1892688888888889,0.719341338186553],"dir":"rtl"},{"str":"978","boundary":[0.15686339869281057,0.7228554545454546,0.1830216339869281,0.7354312121212122],"dir":"ltr"},{"str":"-","boundary":[0.18313725490196078,0.7224090909090909,0.18971895424836602,0.7375606060606061],"dir":"ltr"},{"str":"600","boundary":[0.1896078431372549,0.7228554545454546,0.2093795424836601,0.7354312121212122],"dir":"ltr"},{"str":"-","boundary":[0.20941176470588235,0.7224090909090909,0.21599722222222223,0.7375606060606061],"dir":"ltr"},{"str":"95012","boundary":[0.21588235294117647,0.7228554545454546,0.25208653594771235,0.7354312121212122],"dir":"ltr"},{"str":"-","boundary":[0.2519607843137255,0.7224090909090909,0.2585580065359477,0.7375606060606061],"dir":"ltr"},{"str":"2","boundary":[0.25862745098039214,0.7228554545454546,0.2666046732026144,0.7354312121212122],"dir":"ltr"},{"str":"-","boundary":[0.2664705882352941,0.7224090909090909,0.2730678104575163,0.7375606060606061],"dir":"ltr"},{"str":"9","boundary":[0.27313725490196084,0.7228554545454546,0.281114477124183,0.7354312121212122],"dir":"ltr"}],"boundary":[0.15686,0.59759,0.28111,0.73756],"dir":"rtl","type":"paragraph"},{"words":[{"str":"3","boundary":[0.1992156862745098,0.934610303030303,0.20959254901960786,0.9488527272727273],"dir":"ltr"}],"boundary":[0.19922,0.93461,0.20959,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":3,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/41e6a3e6475c7110884353bc9aa61ebf.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/f432994b7af292c070d46b32c29156f8.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.17046,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"}],"boundary":[0.1751,0.07261,0.30976,0.08685],"dir":"rtl","type":"paragraph"},{"words":[{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"}],"boundary":[0.12275,0.07261,0.15858,0.08685],"dir":"rtl","type":"paragraph"},{"words":[{"str":"جبر","boundary":[0.5131372549019609,0.18466952237215895,0.5528039215686276,0.20845740116003772],"dir":"rtl"},{"str":"پیشرفت","boundary":[0.4121390196078432,0.18466952237215895,0.5069572549019609,0.20845740116003772],"dir":"rtl"},{"str":"⊕×→","boundary":[0.16745098039215686,0.24947499999999995,0.2854380392156863,0.26356590909090905],"dir":"ltr"},{"str":":MMM","boundary":[0.18254901960784314,0.2510813636363636,0.3127450980392157,0.2651722727272727],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196077,0.2643737423058713,0.8279582352941176,0.2796767726089016],"dir":"rtl"},{"str":":","boundary":[0.7809803921568627,0.25850939393939404,0.7849411764705881,0.2738124242424243],"dir":"ltr"},{"str":"فرض","boundary":[0.7439215686274507,0.264358797940341,0.7746176470588233,0.2796618282433713],"dir":"rtl"},{"str":"کنی","boundary":[0.7182105882352939,0.264358797940341,0.7378164705882352,0.2796618282433713],"dir":"rtl"},{"str":"R","boundary":[0.689019607843137,0.26075893939393946,0.7022288235294115,0.2760619696969698],"dir":"ltr"},{"str":"یک","boundary":[0.6615686274509801,0.264358797940341,0.6829166666666664,0.2796618282433713],"dir":"rtl"},{"str":"حلقه","boundary":[0.6258823529411762,0.264358797940341,0.6552801960784311,0.2796618282433713],"dir":"rtl"},{"str":"و","boundary":[0.6131372549019606,0.264358797940341,0.6195141176470587,0.2796618282433713],"dir":"rtl"},{"str":"M","boundary":[0.5894117647058821,0.26075893939393946,0.6071062745098036,0.2760619696969698],"dir":"ltr"},{"str":"مجموعهاي","boundary":[0.5186274509803918,0.264358797940341,0.5832350980392155,0.2796618282433713],"dir":"rtl"},{"str":"ناتهی","boundary":[0.4801960784313722,0.264358797940341,0.5125201960784309,0.2796618282433713],"dir":"rtl"},{"str":"باش","boundary":[0.4558576470588232,0.264358797940341,0.47386333333333297,0.2796618282433713],"dir":"rtl"},{"str":"M","boundary":[0.4184313725490192,0.26075893939393946,0.4359690196078428,0.2760619696969698],"dir":"ltr"},{"str":"،","boundary":[0.4423529411764703,0.264358797940341,0.4464705882352938,0.2796618282433713],"dir":"ltr"},{"str":"به","boundary":[0.40078431372548984,0.264358797940341,0.41187215686274475,0.2796618282433713],"dir":"rtl"},{"str":"همراه","boundary":[0.36137254901960747,0.264358797940341,0.3944880392156859,0.2796618282433713],"dir":"rtl"},{"str":"عمل","boundary":[0.3274509803921565,0.264358797940341,0.3550964705882349,0.2796618282433713],"dir":"rtl"},{"str":"جمع","boundary":[0.2919607843137251,0.264358797940341,0.32124588235294077,0.2796618282433713],"dir":"rtl"},{"str":"→+","boundary":[0.2162745098039216,0.27053560606060606,0.2824050980392157,0.28462651515151516],"dir":"ltr"},{"str":"(x,y)xy","boundary":[0.16745098039215686,0.27214196969696974,0.29411764705882354,0.28623287878787884],"dir":"ltr"},{"str":"و","boundary":[0.15235294117647058,0.264358797940341,0.15872980392156863,0.2796618282433713],"dir":"rtl"},{"str":"عمل","boundary":[0.11843137254901959,0.264358797940341,0.146076862745098,0.2796618282433713],"dir":"rtl"},{"str":"⊗×→","boundary":[0.6107843137254902,0.3017477272727273,0.7299478431372549,0.3158386363636364],"dir":"ltr"},{"str":":MMM","boundary":[0.6258823529411766,0.303354090909091,0.7570588235294119,0.3174450000000001],"dir":"ltr"},{"str":"ضرب","boundary":[0.796078431372549,0.31663152521306825,0.8277219607843137,0.3319345555160985],"dir":"rtl"},{"str":"در","boundary":[0.7772549019607843,0.31663152521306825,0.7910780392156863,0.3319345555160985],"dir":"rtl"},{"str":"اسکالر","boundary":[0.7352941176470589,0.31663152521306825,0.7724374509803922,0.3319345555160985],"dir":"rtl"},{"str":"→","boundary":[0.6611764705882353,0.3228083333333333,0.679174705882353,0.33689924242424246],"dir":"ltr"},{"str":"(r,m)rm","boundary":[0.6107843137254902,0.324414696969697,0.7055535294117647,0.3385056060606061],"dir":"ltr"},{"str":"یک","boundary":[0.5819607843137256,0.31663152521306825,0.6033088235294118,0.3319345555160985],"dir":"rtl"},{"str":"-","boundary":[0.5562745098039216,0.31078212121212123,0.5590649019607843,0.32608515151515155],"dir":"ltr"},{"str":"R","boundary":[0.563921568627451,0.3130316666666667,0.5772196078431372,0.32833469696969697],"dir":"ltr"},{"str":"م","boundary":[0.5448772549019608,0.31663152521306825,0.5512739215686275,0.3319345555160985],"dir":"rtl"},{"str":"ول","boundary":[0.5184313725490196,0.31663152521306825,0.5354901960784314,0.3319345555160985],"dir":"rtl"},{"str":"چپ","boundary":[0.4886274509803922,0.31663152521306825,0.5138566666666666,0.3319345555160985],"dir":"rtl"},{"str":"است","boundary":[0.45588235294117646,0.31663152521306825,0.48383117647058826,0.3319345555160985],"dir":"rtl"},{"str":"اگر","boundary":[0.43313725490196076,0.31663152521306825,0.45099,0.3319345555160985],"dir":"rtl"},{"str":"(","boundary":[0.753921568627451,0.35645045454545454,0.7607170588235294,0.37114742424242425],"dir":"ltr"},{"str":"M","boundary":[0.760392156862745,0.35645045454545454,0.7777625490196077,0.37114742424242425],"dir":"ltr"},{"str":",","boundary":[0.7786274509803921,0.35645045454545454,0.7838443137254901,0.37114742424242425],"dir":"ltr"},{"str":"⊕)","boundary":[0.7852941176470588,0.354775,0.8060111764705883,0.37114742424242425],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019608,0.35381242424242426,0.8191641176470589,0.3691154545454546],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117647,0.35381242424242426,0.8281813725490196,0.3691154545454546],"dir":"ltr"},{"str":"گروه","boundary":[0.7190196078431373,0.35966182824337123,0.7466586274509804,0.3749648585464015],"dir":"rtl"},{"str":"آبلی","boundary":[0.6890196078431373,0.35966182824337123,0.7142172549019608,0.3749648585464015],"dir":"rtl"},{"str":"باش","boundary":[0.6658576470588236,0.35966182824337123,0.6842554901960785,0.3749648585464015],"dir":"rtl"},{"str":".","boundary":[0.6531372549019607,0.35381242424242426,0.656365294117647,0.3691154545454546],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.3879033333333334,0.8189680392156864,0.40320636363636364],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117647,0.3879033333333334,0.8281813725490196,0.40320636363636364],"dir":"ltr"},{"str":"براي","boundary":[0.7815686274509804,0.3937527373342803,0.807712549019608,0.4090557676373106],"dir":"rtl"},{"str":"هر","boundary":[0.7613725490196079,0.3937527373342803,0.7762586274509804,0.4090557676373106],"dir":"rtl"},{"str":"x","boundary":[0.6892156862745098,0.3906928787878788,0.6989913725490197,0.4053898484848485],"dir":"ltr"},{"str":",","boundary":[0.7009803921568627,0.3906928787878788,0.7060011764705882,0.4053898484848485],"dir":"ltr"},{"str":"y","boundary":[0.7086274509803921,0.3906928787878788,0.718403137254902,0.4053898484848485],"dir":"ltr"},{"str":"∈","boundary":[0.720392156862745,0.38901742424242425,0.733953137254902,0.40371439393939396],"dir":"ltr"},{"str":"M","boundary":[0.736078431372549,0.3906928787878788,0.7532527450980392,0.4053898484848485],"dir":"ltr"},{"str":"و","boundary":[0.6747058823529412,0.3937527373342803,0.6810827450980392,0.4090557676373106],"dir":"rtl"},{"str":"r","boundary":[0.38666666666666677,0.3906928787878788,0.39300019607843145,0.4053898484848485],"dir":"ltr"},{"str":"⊗","boundary":[0.39588235294117646,0.38901742424242425,0.4104894117647059,0.40371439393939396],"dir":"ltr"},{"str":"(","boundary":[0.41215686274509816,0.3906928787878788,0.4184903921568629,0.4053898484848485],"dir":"ltr"},{"str":"x","boundary":[0.41901960784313735,0.3906928787878788,0.42852941176470594,0.4053898484848485],"dir":"ltr"},{"str":"⊕","boundary":[0.43215686274509807,0.38901742424242425,0.4467639215686275,0.40371439393939396],"dir":"ltr"},{"str":"y","boundary":[0.45058823529411773,0.3906928787878788,0.4600980392156863,0.4053898484848485],"dir":"ltr"},{"str":")","boundary":[0.4601960784313726,0.3906928787878788,0.46652960784313735,0.4053898484848485],"dir":"ltr"},{"str":"=","boundary":[0.4707843137254902,0.38901742424242425,0.48122607843137255,0.40371439393939396],"dir":"ltr"},{"str":"(","boundary":[0.48509803921568634,0.3906928787878788,0.4914315686274511,0.4053898484848485],"dir":"ltr"},{"str":"r","boundary":[0.491764705882353,0.3906928787878788,0.49809823529411773,0.4053898484848485],"dir":"ltr"},{"str":"⊗","boundary":[0.5017647058823529,0.38901742424242425,0.5163717647058823,0.40371439393939396],"dir":"ltr"},{"str":"x","boundary":[0.5196078431372549,0.3906928787878788,0.5291176470588236,0.4053898484848485],"dir":"ltr"},{"str":")","boundary":[0.529607843137255,0.3906928787878788,0.5359413725490197,0.4053898484848485],"dir":"ltr"},{"str":"⊕","boundary":[0.5392156862745098,0.38901742424242425,0.5538227450980392,0.40371439393939396],"dir":"ltr"},{"str":"(","boundary":[0.5566666666666668,0.3906928787878788,0.5630001960784315,0.4053898484848485],"dir":"ltr"},{"str":"r","boundary":[0.5633333333333335,0.3906928787878788,0.5696668627450981,0.4053898484848485],"dir":"ltr"},{"str":"⊗","boundary":[0.5733333333333334,0.38901742424242425,0.5879403921568628,0.40371439393939396],"dir":"ltr"},{"str":"y","boundary":[0.591372549019608,0.3906928787878788,0.6008823529411765,0.4053898484848485],"dir":"ltr"},{"str":")","boundary":[0.6007843137254903,0.3906928787878788,0.607117843137255,0.4053898484848485],"dir":"ltr"},{"str":"،","boundary":[0.6145098039215687,0.3937527373342803,0.6185498039215688,0.4090557676373106],"dir":"ltr"},{"str":"r","boundary":[0.6266666666666666,0.3924974242424243,0.6323472549019608,0.40567924242424247],"dir":"ltr"},{"str":"∈","boundary":[0.6360784313725489,0.39099469696969696,0.6482413725490196,0.40417651515151515],"dir":"ltr"},{"str":"R","boundary":[0.6525490196078432,0.3924974242424243,0.6639272549019608,0.40567924242424247],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.42229727272727274,0.8189680392156864,0.43760030303030306],"dir":"ltr"},{"str":"3","boundary":[0.8188235294117647,0.42229727272727274,0.8281813725490196,0.43760030303030306],"dir":"ltr"},{"str":"براي","boundary":[0.7815686274509804,0.4281466767282197,0.807712549019608,0.44344970703125003],"dir":"rtl"},{"str":"هر","boundary":[0.7613725490196079,0.4281466767282197,0.7762586274509804,0.44344970703125003],"dir":"rtl"},{"str":"r","boundary":[0.7003921568627451,0.424935303030303,0.706991568627451,0.43963227272727273],"dir":"ltr"},{"str":",","boundary":[0.7090196078431373,0.424935303030303,0.7140403921568628,0.43963227272727273],"dir":"ltr"},{"str":"s","boundary":[0.7154901960784313,0.424935303030303,0.7231547058823529,0.43963227272727273],"dir":"ltr"},{"str":"∈","boundary":[0.7249019607843137,0.42325984848484854,0.7384629411764706,0.4379568181818182],"dir":"ltr"},{"str":"R","boundary":[0.7405882352941177,0.424935303030303,0.7535401960784314,0.43963227272727273],"dir":"ltr"},{"str":"و","boundary":[0.686078431372549,0.4281466767282197,0.6924552941176471,0.44344970703125003],"dir":"rtl"},{"str":"(","boundary":[0.37941176470588245,0.424935303030303,0.38574529411764713,0.43963227272727273],"dir":"ltr"},{"str":"r","boundary":[0.3860784313725491,0.424935303030303,0.3924119607843138,0.43963227272727273],"dir":"ltr"},{"str":"+","boundary":[0.3964705882352941,0.42325984848484854,0.40691235294117645,0.4379568181818182],"dir":"ltr"},{"str":"s","boundary":[0.4101960784313726,0.424935303030303,0.41759470588235303,0.43963227272727273],"dir":"ltr"},{"str":")","boundary":[0.4176470588235295,0.424935303030303,0.42398058823529416,0.43963227272727273],"dir":"ltr"},{"str":"⊗","boundary":[0.4264705882352941,0.42325984848484854,0.4410776470588236,0.4379568181818182],"dir":"ltr"},{"str":"m","boundary":[0.4431372549019609,0.424935303030303,0.45793450980392164,0.43963227272727273],"dir":"ltr"},{"str":"=","boundary":[0.4625490196078431,0.42325984848484854,0.47299078431372543,0.4379568181818182],"dir":"ltr"},{"str":"(","boundary":[0.4772549019607844,0.424935303030303,0.4835884313725491,0.43963227272727273],"dir":"ltr"},{"str":"r","boundary":[0.48372549019607847,0.424935303030303,0.4900590196078432,0.43963227272727273],"dir":"ltr"},{"str":"⊗","boundary":[0.4941176470588235,0.42325984848484854,0.508724705882353,0.4379568181818182],"dir":"ltr"},{"str":"m","boundary":[0.511764705882353,0.424935303030303,0.5265619607843138,0.43963227272727273],"dir":"ltr"},{"str":")","boundary":[0.5264705882352942,0.424935303030303,0.5328041176470589,0.43963227272727273],"dir":"ltr"},{"str":"⊕","boundary":[0.536078431372549,0.42325984848484854,0.5506854901960785,0.4379568181818182],"dir":"ltr"},{"str":"(","boundary":[0.5539215686274511,0.424935303030303,0.5602550980392158,0.43963227272727273],"dir":"ltr"},{"str":"s","boundary":[0.5600000000000002,0.424935303030303,0.5673986274509806,0.43963227272727273],"dir":"ltr"},{"str":"⊗","boundary":[0.5707843137254902,0.42325984848484854,0.5853913725490196,0.4379568181818182],"dir":"ltr"},{"str":"m","boundary":[0.5886274509803923,0.424935303030303,0.6034247058823531,0.43963227272727273],"dir":"ltr"},{"str":")","boundary":[0.6031372549019609,0.424935303030303,0.6094707843137256,0.43963227272727273],"dir":"ltr"},{"str":"،","boundary":[0.6168627450980393,0.4281466767282197,0.6209027450980393,0.44344970703125003],"dir":"ltr"},{"str":"m","boundary":[0.6286274509803922,0.42673984848484847,0.6418992156862745,0.43992166666666666],"dir":"ltr"},{"str":"∈","boundary":[0.645686274509804,0.42523712121212115,0.6578492156862745,0.43841893939393933],"dir":"ltr"},{"str":"M","boundary":[0.6615686274509804,0.42673984848484847,0.6767339215686274,0.43992166666666666],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.45669121212121216,0.8189680392156864,0.4719942424242425],"dir":"ltr"},{"str":"4","boundary":[0.8188235294117647,0.45669121212121216,0.8281813725490196,0.4719942424242425],"dir":"ltr"},{"str":"براي","boundary":[0.7815686274509804,0.46254061612215913,0.807712549019608,0.4778436464251894],"dir":"rtl"},{"str":"هر","boundary":[0.7613725490196079,0.46254061612215913,0.7762586274509804,0.4778436464251894],"dir":"rtl"},{"str":"r","boundary":[0.7003921568627451,0.45932924242424245,0.706991568627451,0.47402621212121215],"dir":"ltr"},{"str":",","boundary":[0.7090196078431373,0.45932924242424245,0.7140403921568628,0.47402621212121215],"dir":"ltr"},{"str":"s","boundary":[0.7154901960784313,0.45932924242424245,0.7231547058823529,0.47402621212121215],"dir":"ltr"},{"str":"∈","boundary":[0.7249019607843137,0.4576537878787879,0.7384629411764706,0.4723507575757576],"dir":"ltr"},{"str":"R","boundary":[0.7405882352941177,0.45932924242424245,0.7535401960784314,0.47402621212121215],"dir":"ltr"},{"str":"و","boundary":[0.686078431372549,0.462540616122159,0.6924552941176471,0.47784364642518934],"dir":"rtl"},{"str":"(","boundary":[0.4460784313725491,0.4593292424242424,0.4523529411764706,0.47402621212121204],"dir":"ltr"},{"str":"rs","boundary":[0.45274509803921575,0.4593292424242424,0.4663592156862746,0.47402621212121204],"dir":"ltr"},{"str":")","boundary":[0.4662745098039216,0.4593292424242424,0.47260803921568634,0.47402621212121204],"dir":"ltr"},{"str":"⊗","boundary":[0.4749019607843137,0.4576537878787879,0.48950901960784315,0.4723507575757576],"dir":"ltr"},{"str":"m","boundary":[0.49156862745098046,0.4593292424242424,0.5063658823529412,0.47402621212121204],"dir":"ltr"},{"str":"=","boundary":[0.5105882352941177,0.4576537878787879,0.52103,0.4723507575757576],"dir":"ltr"},{"str":"r","boundary":[0.5254901960784314,0.4593292424242424,0.5318237254901962,0.47402621212121204],"dir":"ltr"},{"str":"⊗","boundary":[0.5354901960784314,0.4576537878787879,0.5500972549019608,0.4723507575757576],"dir":"ltr"},{"str":"(","boundary":[0.5527450980392158,0.4593292424242424,0.5590786274509805,0.47402621212121204],"dir":"ltr"},{"str":"s","boundary":[0.5588235294117648,0.4593292424242424,0.5662221568627452,0.47402621212121204],"dir":"ltr"},{"str":"⊗","boundary":[0.569607843137255,0.4576537878787879,0.5842149019607844,0.4723507575757576],"dir":"ltr"},{"str":"m","boundary":[0.5872549019607843,0.4593292424242424,0.6020521568627452,0.47402621212121204],"dir":"ltr"},{"str":")","boundary":[0.6019607843137256,0.4593292424242424,0.6082943137254903,0.47402621212121204],"dir":"ltr"},{"str":"،","boundary":[0.6168627450980393,0.462540616122159,0.6209027450980393,0.47784364642518934],"dir":"ltr"},{"str":"m","boundary":[0.6286274509803922,0.4611337878787879,0.6418992156862745,0.4743156060606061],"dir":"ltr"},{"str":"∈","boundary":[0.645686274509804,0.45963106060606057,0.6578492156862745,0.47281287878787875],"dir":"ltr"},{"str":"M","boundary":[0.6615686274509804,0.4611337878787879,0.6767339215686274,0.4743156060606061],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.49093363636363635,0.8189680392156864,0.5062366666666667],"dir":"ltr"},{"str":"5","boundary":[0.8188235294117647,0.49093363636363635,0.8281813725490196,0.5062366666666667],"dir":"ltr"},{"str":"براي","boundary":[0.7815686274509804,0.49678304036458326,0.807712549019608,0.5120860706676136],"dir":"rtl"},{"str":"هر","boundary":[0.7613725490196079,0.49678304036458326,0.7762586274509804,0.5120860706676136],"dir":"rtl"},{"str":"1","boundary":[0.6417647058823529,0.4927404545454545,0.6501866666666667,0.5065283333333334],"dir":"ltr"},{"str":"x","boundary":[0.6517647058823529,0.49483621212121215,0.6606862745098039,0.5086240909090909],"dir":"ltr"},{"str":"=","boundary":[0.6658823529411765,0.4932643939393939,0.6756782352941175,0.5070522727272727],"dir":"ltr"},{"str":"x","boundary":[0.6807843137254902,0.49483621212121215,0.6897058823529412,0.5086240909090909],"dir":"ltr"},{"str":"،","boundary":[0.6988235294117647,0.49678304036458326,0.7028635294117648,0.5120860706676136],"dir":"ltr"},{"str":"x","boundary":[0.7109803921568627,0.49537621212121213,0.7195098039215687,0.5085580303030303],"dir":"ltr"},{"str":"∈","boundary":[0.7235294117647059,0.4938734848484848,0.7356923529411765,0.507055303030303],"dir":"ltr"},{"str":"R","boundary":[0.7396078431372549,0.49537621212121213,0.7509860784313726,0.5085580303030303],"dir":"ltr"},{"str":"نکته","boundary":[0.797843137254902,0.532252530184659,0.8284023529411765,0.5475555604876893],"dir":"rtl"},{"str":":","boundary":[0.793921568627451,0.5263881818181818,0.7979521568627451,0.5416912121212121],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.5618427272727272,0.8189680392156864,0.5771457575757575],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117647,0.5618427272727272,0.8295399999999999,0.5771457575757575],"dir":"ltr"},{"str":"هر","boundary":[0.7927450980392158,0.5676921312736741,0.8080139215686275,0.5829951615767045],"dir":"rtl"},{"str":"گروه","boundary":[0.7603921568627451,0.5676921312736741,0.787648431372549,0.5829951615767045],"dir":"rtl"},{"str":"آبلی","boundary":[0.7303921568627451,0.5676921312736741,0.755393725490196,0.5829951615767045],"dir":"rtl"},{"str":"یک","boundary":[0.7041176470588235,0.5676921312736741,0.7254656862745098,0.5829951615767045],"dir":"rtl"},{"str":"Z","boundary":[0.6870588235294118,0.5640922727272727,0.6994249019607843,0.579395303030303],"dir":"ltr"},{"str":"م","boundary":[0.6605694117647058,0.5676921312736741,0.6669660784313725,0.5829951615767045],"dir":"rtl"},{"str":"ول","boundary":[0.633921568627451,0.5676921312736741,0.6511823529411764,0.5829951615767045],"dir":"rtl"},{"str":"است","boundary":[0.6011764705882352,0.5676921312736741,0.6291252941176471,0.5829951615767045],"dir":"rtl"},{"str":"و","boundary":[0.5896078431372549,0.5676921312736741,0.5959019607843137,0.5829951615767045],"dir":"rtl"},{"str":"زیر","boundary":[0.5666666666666665,0.5676921312736741,0.5846019607843137,0.5829951615767045],"dir":"rtl"},{"str":"م","boundary":[0.5552694117647059,0.5676921312736741,0.5616660784313726,0.5829951615767045],"dir":"rtl"},{"str":"ولهاي","boundary":[0.5029411764705883,0.5676921312736741,0.5458823529411765,0.5829951615767045],"dir":"rtl"},{"str":"آن","boundary":[0.4819607843137256,0.5676921312736741,0.49800019607843143,0.5829951615767045],"dir":"rtl"},{"str":"زیر","boundary":[0.4590196078431373,0.5676921312736741,0.4769549019607844,0.5829951615767045],"dir":"rtl"},{"str":"گروههاي","boundary":[0.4009803921568629,0.5676921312736741,0.45406862745098037,0.5829951615767045],"dir":"rtl"},{"str":"آن","boundary":[0.38019607843137265,0.5676921312736741,0.3959005882352942,0.5829951615767045],"dir":"rtl"},{"str":"هستن","boundary":[0.3437007843137256,0.5676921312736741,0.3750605882352942,0.5829951615767045],"dir":"rtl"},{"str":".","boundary":[0.33098039215686287,0.5618427272727272,0.334476274509804,0.5771457575757575],"dir":"ltr"},{"str":"(","boundary":[0.813137254901961,0.5962366666666666,0.8189680392156865,0.6115396969696969],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117648,0.5962366666666666,0.8281833333333335,0.6115396969696969],"dir":"ltr"},{"str":"هر","boundary":[0.7927450980392158,0.6020860706676135,0.8080139215686276,0.6173891009706439],"dir":"rtl"},{"str":"فضاي","boundary":[0.7529411764705883,0.6020860706676135,0.7878933333333334,0.6173891009706439],"dir":"rtl"},{"str":"برداري","boundary":[0.7076470588235295,0.6020860706676135,0.7478827450980393,0.6173891009706439],"dir":"rtl"},{"str":"V","boundary":[0.6880392156862747,0.598486212121212,0.7026035294117648,0.6137892424242424],"dir":"ltr"},{"str":"روي","boundary":[0.657450980392157,0.6020860706676135,0.6832145098039216,0.6173891009706439],"dir":"rtl"},{"str":"می","boundary":[0.6399739215686276,0.6020860706676135,0.6524701960784316,0.6173891009706439],"dir":"rtl"},{"str":"ان","boundary":[0.6168627450980394,0.6020860706676135,0.6305868627450982,0.6173891009706439],"dir":"rtl"},{"str":"F","boundary":[0.6005882352941178,0.598486212121212,0.6116929411764707,0.6137892424242424],"dir":"ltr"},{"str":"یک","boundary":[0.5743137254901962,0.6020860706676135,0.5956715686274511,0.6173891009706439],"dir":"rtl"},{"str":"-","boundary":[0.5505882352941178,0.5962366666666666,0.5581084313725492,0.6115396969696969],"dir":"ltr"},{"str":"F","boundary":[0.5582352941176473,0.598486212121212,0.5693400000000002,0.6137892424242424],"dir":"ltr"},{"str":"م","boundary":[0.5393901960784316,0.6020860706676135,0.5457868627450982,0.6173891009706439],"dir":"rtl"},{"str":"ول","boundary":[0.5127450980392159,0.6020860706676135,0.5300031372549021,0.6173891009706439],"dir":"rtl"},{"str":"است","boundary":[0.4798039215686276,0.6020860706676135,0.5077307843137256,0.6173891009706439],"dir":"rtl"},{"str":"و","boundary":[0.4684313725490198,0.6020860706676135,0.47492156862745116,0.6173891009706439],"dir":"rtl"},{"str":"زیرم","boundary":[0.43899490196078444,0.6020860706676135,0.4635968627450982,0.6173891009706439],"dir":"rtl"},{"str":"ولهاي","boundary":[0.3866666666666669,0.6020860706676135,0.42960784313725503,0.6173891009706439],"dir":"rtl"},{"str":"آن","boundary":[0.3656862745098041,0.6020860706676135,0.38172568627451003,0.6173891009706439],"dir":"rtl"},{"str":"زیرفضاهاي","boundary":[0.29509803921568645,0.6020860706676135,0.36086058823529427,0.6173891009706439],"dir":"rtl"},{"str":"آن","boundary":[0.2743137254901963,0.6020860706676135,0.29035313725490214,0.6173891009706439],"dir":"rtl"},{"str":"هستن","boundary":[0.23781843137254918,0.6020860706676135,0.26917823529411783,0.6173891009706439],"dir":"rtl"},{"str":".","boundary":[0.22509803921568644,0.5962366666666666,0.22832607843137273,0.6115396969696969],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019611,0.6306306060606061,0.8189680392156865,0.6459336363636363],"dir":"ltr"},{"str":"3","boundary":[0.818823529411765,0.6306306060606061,0.8283794117647061,0.6459336363636363],"dir":"ltr"},{"str":"اگر","boundary":[0.7903921568627453,0.636480010061553,0.8078527450980394,0.6517830403645832],"dir":"rtl"},{"str":"S","boundary":[0.7741176470588238,0.6328801515151514,0.7853945098039218,0.6481831818181817],"dir":"ltr"},{"str":"حلقه","boundary":[0.7400000000000003,0.636480010061553,0.76900568627451,0.6517830403645832],"dir":"rtl"},{"str":"باش","boundary":[0.716641960784314,0.636480010061553,0.7348437254901964,0.6517830403645832],"dir":"rtl"},{"str":"و","boundary":[0.6958823529411767,0.636480010061553,0.7025250980392159,0.6517830403645832],"dir":"rtl"},{"str":"R","boundary":[0.6776470588235296,0.6328801515151514,0.6905952941176473,0.6481831818181817],"dir":"ltr"},{"str":"زیر","boundary":[0.6545098039215688,0.636480010061553,0.6724450980392159,0.6517830403645832],"dir":"rtl"},{"str":"حلقهي","boundary":[0.6074509803921571,0.636480010061553,0.6494145098039218,0.6517830403645832],"dir":"rtl"},{"str":"S","boundary":[0.5911764705882355,0.6328801515151514,0.6021047058823532,0.6481831818181817],"dir":"ltr"},{"str":"باش","boundary":[0.5680145098039219,0.636480010061553,0.5864123529411768,0.6517830403645832],"dir":"rtl"},{"str":"که","boundary":[0.5378431372549022,0.636480010061553,0.5538939215686277,0.6517830403645832],"dir":"rtl"},{"str":"1R","boundary":[0.4776470588235294,0.6308831818181818,0.4961554901960787,0.6513377272727272],"dir":"ltr"},{"str":"=","boundary":[0.5023529411764706,0.6314416666666667,0.5127947058823529,0.6461386363636363],"dir":"ltr"},{"str":"1S","boundary":[0.5147058823529411,0.6308831818181818,0.5308631372549022,0.6513377272727272],"dir":"ltr"},{"str":"آنگاه","boundary":[0.44372549019607843,0.636480010061553,0.4716676470588235,0.6517830403645832],"dir":"rtl"},{"str":"S","boundary":[0.4274509803921569,0.6328801515151514,0.4385672549019608,0.6481831818181817],"dir":"ltr"},{"str":"یک","boundary":[0.4013725490196079,0.636480010061553,0.42232843137254905,0.6517830403645832],"dir":"rtl"},{"str":"-","boundary":[0.3754901960784314,0.6306306060606061,0.38280941176470595,0.6459336363636363],"dir":"ltr"},{"str":"R","boundary":[0.3831372549019609,0.6328801515151514,0.3962392156862746,0.6481831818181817],"dir":"ltr"},{"str":"م","boundary":[0.3642949019607844,0.636480010061553,0.37069156862745106,0.6517830403645832],"dir":"rtl"},{"str":"ول","boundary":[0.33764705882352947,0.636480010061553,0.354907843137255,0.6517830403645832],"dir":"rtl"},{"str":"است","boundary":[0.30470588235294127,0.636480010061553,0.332654705882353,0.6517830403645832],"dir":"rtl"},{"str":".","boundary":[0.3013725490196079,0.6306306060606061,0.30449333333333345,0.6459336363636363],"dir":"ltr"},{"str":"(","boundary":[0.813137254901961,0.6650245454545455,0.8189680392156865,0.6803275757575757],"dir":"ltr"},{"str":"4","boundary":[0.8188235294117648,0.6650245454545455,0.8283774509803922,0.6803275757575757],"dir":"ltr"},{"str":"اگر","boundary":[0.7903921568627452,0.6708739494554924,0.8078527450980394,0.6861769797585228],"dir":"rtl"},{"str":"R","boundary":[0.7721568627450982,0.667274090909091,0.7856319607843139,0.6825771212121212],"dir":"ltr"},{"str":"می","boundary":[0.7546511764705884,0.6708739494554924,0.7671474509803923,0.6861769797585228],"dir":"rtl"},{"str":"ان","boundary":[0.731372549019608,0.6708739494554924,0.745264117647059,0.6861769797585228],"dir":"rtl"},{"str":"باش","boundary":[0.7082105882352944,0.6708739494554924,0.7264123529411767,0.6861769797585228],"dir":"rtl"},{"str":"R","boundary":[0.6805882352941179,0.667274090909091,0.6937974509803925,0.6825771212121212],"dir":"ltr"},{"str":"یک","boundary":[0.6543137254901964,0.6708739494554924,0.6756617647058826,0.6861769797585228],"dir":"rtl"},{"str":"-","boundary":[0.6284313725490198,0.6650245454545455,0.6359466666666669,0.6803275757575757],"dir":"ltr"},{"str":"R","boundary":[0.6360784313725493,0.667274090909091,0.6493764705882356,0.6825771212121212],"dir":"ltr"},{"str":"م","boundary":[0.6172549019607846,0.6708739494554924,0.6234801960784316,0.6861769797585228],"dir":"rtl"},{"str":"ول","boundary":[0.590588235294118,0.6708739494554924,0.6080392156862748,0.6861769797585228],"dir":"rtl"},{"str":"است","boundary":[0.5578431372549022,0.6708739494554924,0.585791960784314,0.6861769797585228],"dir":"rtl"},{"str":"که","boundary":[0.5372549019607845,0.6708739494554924,0.5528801960784315,0.6861769797585228],"dir":"rtl"},{"str":"زیر","boundary":[0.5141176470588237,0.6708739494554924,0.5320529411764707,0.6861769797585228],"dir":"rtl"},{"str":"م","boundary":[0.502720392156863,0.6708739494554924,0.5091170588235296,0.6861769797585228],"dir":"rtl"},{"str":"ولهاي","boundary":[0.4503921568627455,0.6708739494554924,0.49333333333333357,0.6861769797585228],"dir":"rtl"},{"str":"آن","boundary":[0.4296078431372552,0.6708739494554924,0.44531235294117677,0.6861769797585228],"dir":"rtl"},{"str":"ای","boundary":[0.4172301960784317,0.6708739494554924,0.4243723529411768,0.6861769797585228],"dir":"rtl"},{"str":"هآلهاي","boundary":[0.3600000000000003,0.6708739494554924,0.4078431372549023,0.6861769797585228],"dir":"rtl"},{"str":"آن","boundary":[0.3392156862745101,0.6708739494554924,0.3549201960784317,0.6861769797585228],"dir":"rtl"},{"str":"هستن","boundary":[0.3027203921568631,0.6708739494554924,0.3340801960784317,0.6861769797585228],"dir":"rtl"},{"str":".","boundary":[0.29000000000000037,0.6650245454545455,0.29335784313725527,0.6803275757575757],"dir":"ltr"},{"str":"R","boundary":[0.7662745098039219,0.7015165151515154,0.7796078431372552,0.7168195454545456],"dir":"ltr"},{"str":"[x]","boundary":[0.7846829411764709,0.7015165151515154,0.8079901960784317,0.7168195454545456],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019611,0.6992669696969698,0.8191641176470591,0.7145700000000001],"dir":"ltr"},{"str":"5","boundary":[0.818823529411765,0.6992669696969698,0.8281833333333336,0.7145700000000001],"dir":"ltr"},{"str":"یک","boundary":[0.7400000000000003,0.7051163736979168,0.7613480392156865,0.7204194040009472],"dir":"rtl"},{"str":"زیر","boundary":[0.717058823529412,0.7051163736979168,0.7349941176470591,0.7204194040009472],"dir":"rtl"},{"str":"فضاي","boundary":[0.6772549019607845,0.7051163736979168,0.7119947058823531,0.7204194040009472],"dir":"rtl"},{"str":"یکریخت","boundary":[0.6217647058823532,0.7051163736979168,0.672346666666667,0.7204194040009472],"dir":"rtl"},{"str":"با","boundary":[0.6086274509803924,0.7051163736979168,0.6170252941176473,0.7204194040009472],"dir":"rtl"},{"str":"R","boundary":[0.5903921568627454,0.7015165151515154,0.6036901960784317,0.7168195454545456],"dir":"ltr"},{"str":"دارد","boundary":[0.5611764705882355,0.7051163736979168,0.5853617647058825,0.7204194040009472],"dir":"rtl"},{"str":"و","boundary":[0.5496078431372551,0.7051163736979168,0.5560735294117649,0.7204194040009472],"dir":"rtl"},{"str":"یک","boundary":[0.5235294117647061,0.7051163736979168,0.5448774509803924,0.7204194040009472],"dir":"rtl"},{"str":"-","boundary":[0.4976470588235296,0.6992669696969698,0.505073529411765,0.7145700000000001],"dir":"ltr"},{"str":"R","boundary":[0.505294117647059,0.7015165151515154,0.5185033333333335,0.7168195454545456],"dir":"ltr"},{"str":"م","boundary":[0.4864458823529414,0.7051163736979168,0.49284254901960806,0.7204194040009472],"dir":"rtl"},{"str":"ول","boundary":[0.4598039215686277,0.7051163736979168,0.47705882352941203,0.7204194040009472],"dir":"rtl"},{"str":"است","boundary":[0.4268627450980394,0.7051163736979168,0.45461549019607866,0.7204194040009472],"dir":"rtl"},{"str":".","boundary":[0.42352941176470604,0.6992669696969698,0.4267574509803923,0.7145700000000001],"dir":"ltr"},{"str":"R","boundary":[0.572156862745098,0.7353733333333334,0.5847121568627451,0.749918787878788],"dir":"ltr"},{"str":"(","boundary":[0.8137254901960786,0.7416912121212121,0.8195562745098042,0.7569942424242424],"dir":"ltr"},{"str":"6","boundary":[0.8196078431372551,0.7416912121212121,0.828272549019608,0.7569942424242424],"dir":"ltr"},{"str":"R","boundary":[0.7952941176470589,0.7439407575757576,0.8087692156862747,0.759243787878788],"dir":"ltr"},{"str":"یک","boundary":[0.76921568627451,0.7475406161221592,0.7905637254901963,0.7628436464251894],"dir":"rtl"},{"str":"حلقه","boundary":[0.7349019607843139,0.7475406161221592,0.7642998039215688,0.7628436464251894],"dir":"rtl"},{"str":"باش","boundary":[0.7117400000000002,0.7475406161221592,0.730137843137255,0.7628436464251894],"dir":"rtl"},{"str":"و","boundary":[0.6907843137254903,0.7475406161221592,0.6974270588235296,0.7628436464251894],"dir":"rtl"},{"str":"I","boundary":[0.67921568627451,0.7439407575757576,0.6858992156862748,0.759243787878788],"dir":"ltr"},{"str":"ای","boundary":[0.6668509803921571,0.7475406161221592,0.6743852941176472,0.7628436464251894],"dir":"rtl"},{"str":"هآلی","boundary":[0.6307843137254904,0.7475406161221592,0.6574639215686275,0.7628436464251894],"dir":"rtl"},{"str":"از","boundary":[0.6166666666666669,0.7475406161221592,0.6258358823529414,0.7628436464251894],"dir":"rtl"},{"str":"آن","boundary":[0.5956862745098042,0.7475406161221592,0.61172568627451,0.7628436464251894],"dir":"rtl"},{"str":"یک","boundary":[0.5415686274509804,0.7475406161221592,0.5629166666666667,0.7628436464251894],"dir":"rtl"},{"str":"-","boundary":[0.515686274509804,0.7416912121212121,0.523201568627451,0.7569942424242424],"dir":"ltr"},{"str":"R","boundary":[0.5233333333333334,0.7439407575757576,0.5366313725490196,0.759243787878788],"dir":"ltr"},{"str":"م","boundary":[0.5044850980392158,0.7475406161221592,0.5108817647058825,0.7628436464251894],"dir":"rtl"},{"str":"ول","boundary":[0.4778431372549021,0.7475406161221592,0.49509803921568635,0.7628436464251894],"dir":"rtl"},{"str":"است","boundary":[0.4450980392156863,0.7475406161221592,0.47265294117647066,0.7628436464251894],"dir":"rtl"},{"str":".","boundary":[0.44176470588235295,0.7416912121212121,0.445081568627451,0.7569942424242424],"dir":"ltr"},{"str":"I","boundary":[0.5756862745098039,0.7558278787878788,0.5819545098039216,0.7703733333333334],"dir":"ltr"},{"str":"R","boundary":[0.7947058823529412,0.7845468181818182,0.8083770588235294,0.7998498484848485],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.7822972727272727,0.8191641176470589,0.797600303030303],"dir":"ltr"},{"str":"7","boundary":[0.8188235294117648,0.7822972727272727,0.8281813725490197,0.797600303030303],"dir":"ltr"},{"str":"و","boundary":[0.7829411764705883,0.7881466767282197,0.78978,0.8034497070312501],"dir":"rtl"},{"str":"S","boundary":[0.7662745098039216,0.7845468181818182,0.7777474509803922,0.7998498484848485],"dir":"ltr"},{"str":"دو","boundary":[0.7468627450980393,0.7881466767282197,0.7609921568627451,0.8034497070312501],"dir":"rtl"},{"str":"حلقه","boundary":[0.7123529411764706,0.7881466767282197,0.7413586274509805,0.8034497070312501],"dir":"rtl"},{"str":"باشن","boundary":[0.6825243137254903,0.7881466767282197,0.7068256862745099,0.8034497070312501],"dir":"rtl"},{"str":"و","boundary":[0.661372549019608,0.7881466767282197,0.6682113725490197,0.8034497070312501],"dir":"rtl"},{"str":"M","boundary":[0.6382352941176471,0.7845468181818182,0.655934705882353,0.7998498484848485],"dir":"ltr"},{"str":"یک","boundary":[0.6115686274509804,0.7881466767282197,0.6329264705882353,0.8034497070312501],"dir":"rtl"},{"str":"-","boundary":[0.5852941176470589,0.7822972727272727,0.5928143137254902,0.797600303030303],"dir":"ltr"},{"str":"R","boundary":[0.5929411764705883,0.7845468181818182,0.6062441176470589,0.7998498484848485],"dir":"ltr"},{"str":"م","boundary":[0.5740929411764706,0.7881466767282197,0.5804896078431372,0.8034497070312501],"dir":"rtl"},{"str":"ول","boundary":[0.5472549019607843,0.7881466767282197,0.5647058823529412,0.8034497070312501],"dir":"rtl"},{"str":":SR","boundary":[0.4680392156862745,0.784935303030303,0.5562288235294117,0.7996322727272728],"dir":"ltr"},{"str":"و","boundary":[0.535686274509804,0.7881466767282197,0.5421568627450981,0.8034497070312501],"dir":"rtl"},{"str":"φ→","boundary":[0.45588235294117646,0.7832598484848484,0.5341572549019609,0.7979568181818181],"dir":"ltr"},{"str":"یک","boundary":[0.4268627450980391,0.7881466767282197,0.4482107843137254,0.8034497070312501],"dir":"rtl"},{"str":"همریختی","boundary":[0.36392156862745095,0.7881466767282197,0.4218227450980392,0.8034497070312501],"dir":"rtl"},{"str":"باش","boundary":[0.34056352941176465,0.7881466767282197,0.35896137254901955,0.8034497070312501],"dir":"rtl"},{"str":"آنگاه","boundary":[0.29803921568627445,0.7881466767282197,0.3259772549019608,0.8034497070312501],"dir":"rtl"},{"str":"M","boundary":[0.2750980392156862,0.7845468181818182,0.2927925490196078,0.7998498484848485],"dir":"ltr"},{"str":"با","boundary":[0.2617647058823529,0.7881466767282197,0.2701625490196078,0.8034497070312501],"dir":"rtl"},{"str":"عمل","boundary":[0.2290196078431372,0.7881466767282197,0.25668431372549017,0.8034497070312501],"dir":"rtl"},{"str":"ضرب","boundary":[0.18568627450980388,0.7881466767282197,0.2236972549019607,0.8034497070312501],"dir":"rtl"},{"str":"در","boundary":[0.16666666666666663,0.7881466767282197,0.18048980392156858,0.8034497070312501],"dir":"rtl"},{"str":"اسکالر","boundary":[0.11843137254901955,0.7881466767282197,0.16167196078431367,0.8034497070312501],"dir":"rtl"},{"str":"sm","boundary":[0.7311764705882352,0.8193292424242424,0.7534770588235293,0.8340262121212122],"dir":"ltr"},{"str":":","boundary":[0.7558823529411764,0.8193292424242424,0.7611107843137254,0.8340262121212122],"dir":"ltr"},{"str":"=","boundary":[0.7623529411764706,0.8176537878787878,0.7727947058823529,0.8323507575757575],"dir":"ltr"},{"str":"φ","boundary":[0.7766666666666666,0.8176537878787878,0.7881354901960784,0.8323507575757575],"dir":"ltr"},{"str":"(","boundary":[0.7874509803921568,0.8193292424242424,0.7937254901960783,0.8340262121212122],"dir":"ltr"},{"str":"s","boundary":[0.7935294117647058,0.8193292424242424,0.8008690196078432,0.8340262121212122],"dir":"ltr"},{"str":").","boundary":[0.8009803921568627,0.8193292424242424,0.8119507843137255,0.8340262121212122],"dir":"ltr"},{"str":"m","boundary":[0.8109803921568627,0.8193292424242424,0.8260454901960784,0.8340262121212122],"dir":"ltr"},{"str":"یک","boundary":[0.7029411764705883,0.8225406161221591,0.7238970588235295,0.8378436464251894],"dir":"rtl"},{"str":"-","boundary":[0.6790196078431373,0.8166912121212121,0.6863388235294119,0.8319942424242424],"dir":"ltr"},{"str":"S","boundary":[0.6866666666666668,0.8189407575757576,0.6975703921568629,0.834243787878788],"dir":"ltr"},{"str":"م","boundary":[0.6678184313725493,0.8225406161221591,0.6742150980392159,0.8378436464251894],"dir":"rtl"},{"str":"ول","boundary":[0.6411764705882355,0.8225406161221591,0.6584313725490197,0.8378436464251894],"dir":"rtl"},{"str":"است","boundary":[0.6082352941176472,0.8225406161221591,0.6359880392156864,0.8378436464251894],"dir":"rtl"},{"str":".","boundary":[0.6049019607843138,0.8166912121212121,0.6080227450980393,0.8319942424242424],"dir":"ltr"}],"boundary":[0.11843,0.18467,0.82954,0.83784],"dir":"ltr","type":"paragraph"},{"words":[{"str":"4","boundary":[0.14313725490196078,0.9332466666666668,0.15242666666666665,0.947489090909091],"dir":"ltr"}],"boundary":[0.14314,0.93325,0.15243,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":4,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/966f44b42c4da0c551366066390a3a06.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/44a07bc56ebdce881777471ce65ab44d.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.10088,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"},{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"},{"str":"قضیه","boundary":[0.8488235294117645,0.09831313624526511,0.8844194117647057,0.11361616654829541],"dir":"rtl"},{"str":")","boundary":[0.8386274509803919,0.09244878787878781,0.8445098039215685,0.10775181818181813],"dir":"ltr"},{"str":"محک","boundary":[0.8001960784313724,0.09831313624526511,0.8390062745098038,0.11361616654829541],"dir":"rtl"},{"str":"فشرده","boundary":[0.7503921568627451,0.09831313624526511,0.7957764705882352,0.11361616654829541],"dir":"rtl"},{"str":":","boundary":[0.7276470588235293,0.09469833333333329,0.7340707843137254,0.11000136363636359],"dir":"ltr"},{"str":"(","boundary":[0.743921568627451,0.09244878787878781,0.7503974509803921,0.10775181818181813],"dir":"ltr"},{"str":"فرض","boundary":[0.696862745098039,0.09829819187973479,0.7271760784313724,0.1136012221827651],"dir":"rtl"},{"str":"کنی","boundary":[0.6723282352941176,0.09829819187973479,0.6919341176470587,0.1136012221827651],"dir":"rtl"},{"str":"M","boundary":[0.6399999999999998,0.09469833333333329,0.65741431372549,0.11000136363636359],"dir":"ltr"},{"str":"یک","boundary":[0.6139215686274508,0.09829819187973479,0.6348774509803919,0.1136012221827651],"dir":"rtl"},{"str":"-","boundary":[0.5880392156862743,0.09244878787878781,0.5953584313725488,0.10775181818181813],"dir":"ltr"},{"str":"R","boundary":[0.5956862745098037,0.09469833333333329,0.6087882352941174,0.11000136363636359],"dir":"ltr"},{"str":"م","boundary":[0.5768380392156862,0.09829819187973479,0.5832347058823528,0.1136012221827651],"dir":"rtl"},{"str":"ول","boundary":[0.5499999999999998,0.09829819187973479,0.5674509803921567,0.1136012221827651],"dir":"rtl"},{"str":"باش","boundary":[0.5268380392156862,0.09829819187973479,0.5450398039215685,0.1136012221827651],"dir":"rtl"},{"str":"و","boundary":[0.5060784313725489,0.09829819187973479,0.5123480392156862,0.1136012221827651],"dir":"rtl"},{"str":"N","boundary":[0.486470588235294,0.09469833333333329,0.5007690196078429,0.11000136363636359],"dir":"ltr"},{"str":"زیرمجموعهاي","boundary":[0.39901960784313706,0.09829819187973479,0.48166980392156844,0.1136012221827651],"dir":"rtl"},{"str":"ناتهی","boundary":[0.36196078431372525,0.09829819187973479,0.393892745098039,0.1136012221827651],"dir":"rtl"},{"str":"از","boundary":[0.3476470588235292,0.09829819187973479,0.35681627450980374,0.1136012221827651],"dir":"rtl"},{"str":"آن","boundary":[0.32686274509803903,0.09829819187973479,0.3425672549019606,0.1136012221827651],"dir":"rtl"},{"str":"اگر","boundary":[0.3041176470588233,0.09829819187973479,0.3219703921568626,0.1136012221827651],"dir":"rtl"},{"str":"براي","boundary":[0.27274509803921554,0.09829819187973479,0.29907568627450964,0.1136012221827651],"dir":"rtl"},{"str":"هر","boundary":[0.2523529411764704,0.09829819187973479,0.26762176470588217,0.1136012221827651],"dir":"rtl"},{"str":"،","boundary":[0.17490196078431375,0.09829819187973479,0.17894196078431374,0.1136012221827651],"dir":"ltr"},{"str":"∈","boundary":[0.21549019607843137,0.09341136363636357,0.22905117647058823,0.10810833333333326],"dir":"ltr"},{"str":"x,yN","boundary":[0.18705882352941178,0.09508681818181812,0.2624576470588235,0.10978378787878781],"dir":"ltr"},{"str":"+∈","boundary":[0.8268627450980393,0.12901742424242424,0.8801780392156863,0.14371439393939395],"dir":"ltr"},{"str":"xyN","boundary":[0.8141176470588235,0.13069287878787877,0.8991243137254903,0.14538984848484848],"dir":"ltr"},{"str":"و","boundary":[0.799607843137255,0.13390425248579546,0.805984705882353,0.14920728278882575],"dir":"rtl"},{"str":"براي","boundary":[0.7680392156862745,0.13390425248579546,0.7945658823529412,0.14920728278882575],"dir":"rtl"},{"str":"هر","boundary":[0.7478431372549019,0.13390425248579546,0.7631119607843138,0.14920728278882575],"dir":"rtl"},{"str":"∈","boundary":[0.6535294117647058,0.12901742424242424,0.6670903921568627,0.14371439393939395],"dir":"ltr"},{"str":"،rxN","boundary":[0.6325490196078432,0.13069287878787877,0.7008890196078431,0.14920728278882575],"dir":"ltr"},{"str":"∈","boundary":[0.7109803921568627,0.13099469696969698,0.7231433333333334,0.14417651515151517],"dir":"ltr"},{"str":"rR","boundary":[0.7019607843137255,0.13249742424242425,0.7574623529411765,0.14567924242424243],"dir":"ltr"},{"str":"آنگاه","boundary":[0.5968627450980392,0.13390425248579546,0.6248049019607842,0.14920728278882575],"dir":"rtl"},{"str":"N","boundary":[0.5772549019607842,0.13030439393939394,0.5916586274509804,0.14560742424242426],"dir":"ltr"},{"str":"یک","boundary":[0.5511764705882353,0.13390425248579546,0.5725735294117646,0.14920728278882575],"dir":"rtl"},{"str":"زیر","boundary":[0.5280392156862744,0.13390425248579546,0.5463666666666667,0.14920728278882575],"dir":"rtl"},{"str":"م","boundary":[0.5166290196078431,0.13390425248579546,0.5230256862745098,0.14920728278882575],"dir":"rtl"},{"str":"ول","boundary":[0.49,0.13390425248579546,0.5072419607843137,0.14920728278882575],"dir":"rtl"},{"str":"M","boundary":[0.46705882352941175,0.13030439393939394,0.48477784313725486,0.14560742424242426],"dir":"ltr"},{"str":"است","boundary":[0.4343137254901961,0.13390425248579546,0.4622405882352942,0.14920728278882575],"dir":"rtl"},{"str":".","boundary":[0.43098039215686273,0.12805484848484847,0.4343217647058823,0.14335787878787878],"dir":"ltr"},{"str":"نکته","boundary":[0.8543137254901961,0.16937374230587127,0.8850690196078431,0.18467677260890158],"dir":"rtl"},{"str":":","boundary":[0.8505882352941178,0.163509393939394,0.8548149019607845,0.1788124242424243],"dir":"ltr"},{"str":"فرض","boundary":[0.8143137254901961,0.16935879794034098,0.8450098039215685,0.1846618282433713],"dir":"rtl"},{"str":"کنی","boundary":[0.7897792156862746,0.16935879794034098,0.8093850980392158,0.1846618282433713],"dir":"rtl"},{"str":"M","boundary":[0.7574509803921569,0.16575893939393943,0.7750566666666666,0.18106196969696975],"dir":"ltr"},{"str":"یک","boundary":[0.7311764705882353,0.16935879794034098,0.7525245098039216,0.1846618282433713],"dir":"rtl"},{"str":"-","boundary":[0.7052941176470588,0.163509393939394,0.7128094117647058,0.1788124242424243],"dir":"ltr"},{"str":"R","boundary":[0.7129411764705882,0.16575893939393943,0.7262392156862745,0.18106196969696975],"dir":"ltr"},{"str":"م","boundary":[0.6940929411764707,0.16935879794034098,0.7004896078431373,0.1846618282433713],"dir":"rtl"},{"str":"ول","boundary":[0.6674509803921569,0.16935879794034098,0.6847058823529412,0.1846618282433713],"dir":"rtl"},{"str":"باش","boundary":[0.6442890196078431,0.16935879794034098,0.662686862745098,0.1846618282433713],"dir":"rtl"},{"str":"iiI","boundary":[0.5886274509803922,0.1726518181818182,0.6300568627450981,0.18447000000000005],"dir":"ltr"},{"str":"و","boundary":[0.6233333333333334,0.16935879794034098,0.6297990196078431,0.1846618282433713],"dir":"rtl"},{"str":"{M}","boundary":[0.5635294117647058,0.16670393939393946,0.6083439215686274,0.1809463636363637],"dir":"ltr"},{"str":"∈","boundary":[0.6050980392156863,0.17130454545454551,0.6160027450980392,0.1831227272727273],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.49941176470588233,0.16935879794034098,0.5575088235294118,0.1846618282433713],"dir":"rtl"},{"str":"از","boundary":[0.4850980392156863,0.16935879794034098,0.4942672549019608,0.1846618282433713],"dir":"rtl"},{"str":"زیرم","boundary":[0.45566156862745094,0.16935879794034098,0.4800674509803921,0.1846618282433713],"dir":"rtl"},{"str":"ولهاي","boundary":[0.4033333333333333,0.16935879794034098,0.4462745098039216,0.1846618282433713],"dir":"rtl"},{"str":"M","boundary":[0.38058823529411767,0.16575893939393943,0.3982656862745098,0.18106196969696975],"dir":"ltr"},{"str":"باشن","boundary":[0.3511517647058824,0.16935879794034098,0.37545313725490204,0.1846618282433713],"dir":"rtl"},{"str":".","boundary":[0.3384058823529412,0.163509393939394,0.34167823529411767,0.1788124242424243],"dir":"ltr"},{"str":"اگر","boundary":[0.3158823529411765,0.16935879794034098,0.3335437254901961,0.1846618282433713],"dir":"rtl"},{"str":"I","boundary":[0.3041176470588236,0.16575893939393943,0.3107841176470589,0.18106196969696975],"dir":"ltr"},{"str":"ناتهی","boundary":[0.26705882352941174,0.16935879794034098,0.2992109803921569,0.1846618282433713],"dir":"rtl"},{"str":"باش","boundary":[0.24389686274509806,0.16935879794034098,0.2620986274509804,0.1846618282433713],"dir":"rtl"},{"str":":","boundary":[0.23117647058823532,0.163509393939394,0.23447627450980393,0.1788124242424243],"dir":"ltr"},{"str":"n","boundary":[0.670392156862745,0.20295484848484852,0.6780392156862745,0.21477303030303035],"dir":"ltr"},{"str":"∑∑=∈∈","boundary":[0.5870588235294117,0.21157803030303024,0.8731372549019608,0.22930530303030297],"dir":"ltr"},{"str":"M:x|iI;xMiikiikkk","boundary":[0.6072549019607842,0.21471772727272728,0.8950980392156862,0.23511484848484845],"dir":"ltr"},{"str":"1iIk","boundary":[0.5854901960784313,0.23124000000000003,0.7300050980392158,0.24401545454545456],"dir":"ltr"},{"str":"∈=","boundary":[0.5892156862745097,0.23085,0.7537662745098038,0.2426681818181818],"dir":"ltr"},{"str":"اگر","boundary":[0.8670588235294118,0.2636012221827652,0.8845194117647058,0.27890425248579553],"dir":"rtl"},{"str":"I","boundary":[0.8552941176470588,0.26000136363636367,0.8617370588235294,0.275304393939394],"dir":"ltr"},{"str":"تهی","boundary":[0.8262745098039215,0.2636012221827652,0.8504209803921569,0.27890425248579553],"dir":"rtl"},{"str":"باش","boundary":[0.8029164705882352,0.2636012221827652,0.8211182352941175,0.27890425248579553],"dir":"rtl"},{"str":"تعریف","boundary":[0.7511764705882351,0.2636012221827652,0.7887950980392155,0.27890425248579553],"dir":"rtl"},{"str":"میکنیم","boundary":[0.6978431372549019,0.2636012221827652,0.7462052941176469,0.27890425248579553],"dir":"rtl"},{"str":"∑","boundary":[0.5723529411764705,0.2583969696969697,0.5885701960784313,0.27597272727272726],"dir":"ltr"},{"str":"Mi","boundary":[0.5925490196078431,0.261384393939394,0.6134129411764705,0.27884742424242426],"dir":"ltr"},{"str":"،","boundary":[0.6190196078431373,0.2636012221827652,0.6230596078431373,0.27890425248579553],"dir":"ltr"},{"str":"∑","boundary":[0.6270588235294118,0.2583969696969697,0.6432760784313726,0.27597272727272726],"dir":"ltr"},{"str":"iM","boundary":[0.6470588235294117,0.261384393939394,0.6729943137254901,0.27884742424242426],"dir":"ltr"},{"str":"=","boundary":[0.6741176470588235,0.25977803030303037,0.6841288235294118,0.2738689393939394],"dir":"ltr"},{"str":"0","boundary":[0.686078431372549,0.26024303030303036,0.6946307843137255,0.2743339393939394],"dir":"ltr"},{"str":"یک","boundary":[0.5417647058823529,0.2636012221827652,0.5631617647058823,0.27890425248579553],"dir":"rtl"},{"str":"زیرم","boundary":[0.5123282352941178,0.2636012221827652,0.5369349019607844,0.27890425248579553],"dir":"rtl"},{"str":"ول","boundary":[0.48549019607843136,0.2636012221827652,0.5029411764705882,0.27890425248579553],"dir":"rtl"},{"str":"M","boundary":[0.46274509803921565,0.26000136363636367,0.4804641176470588,0.275304393939394],"dir":"ltr"},{"str":"است","boundary":[0.4298039215686274,0.2636012221827652,0.45755666666666667,0.27890425248579553],"dir":"rtl"},{"str":"و","boundary":[0.4184313725490196,0.2636012221827652,0.4248525490196078,0.27890425248579553],"dir":"rtl"},{"str":"اگر","boundary":[0.3958823529411764,0.2636012221827652,0.413543725490196,0.27890425248579553],"dir":"rtl"},{"str":"I","boundary":[0.38411764705882345,0.26000136363636367,0.39065196078431363,0.275304393939394],"dir":"ltr"},{"str":"متناهی","boundary":[0.3354901960784313,0.2636012221827652,0.3791888235294117,0.27890425248579553],"dir":"rtl"},{"str":"باش","boundary":[0.3123282352941176,0.2636012221827652,0.33072607843137247,0.27890425248579553],"dir":"rtl"},{"str":"مینویسیم","boundary":[0.23647058823529402,0.2636012221827652,0.2979699999999999,0.27890425248579553],"dir":"rtl"},{"str":":","boundary":[0.2331372549019607,0.25775181818181825,0.23636529411764698,0.2730548484848485],"dir":"ltr"},{"str":"∈","boundary":[0.5745098039215687,0.27766893939393944,0.585274705882353,0.2893356060606061],"dir":"ltr"},{"str":"iI","boundary":[0.5707843137254902,0.27899893939393944,0.5994578431372549,0.2906656060606061],"dir":"ltr"},{"str":"∈","boundary":[0.6290196078431372,0.27766893939393944,0.6495088235294116,0.2893356060606061],"dir":"ltr"},{"str":"iI","boundary":[0.6254901960784313,0.27899893939393944,0.654163725490196,0.2906656060606061],"dir":"ltr"},{"str":"n","boundary":[0.18490196078431362,0.3056986363636364,0.19899137254901952,0.3176683333333334],"dir":"ltr"},{"str":"K","boundary":[0.2931372549019608,0.31384393939393945,0.31176470588235294,0.3282378787878788],"dir":"ltr"},{"str":"=⊕⊕","boundary":[0.2388235294117647,0.3159886363636364,0.3468627450980392,0.3303825757575758],"dir":"ltr"},{"str":"MMM","boundary":[0.20254901960784313,0.31762954545454547,0.4068627450980392,0.3320234848484849],"dir":"ltr"},{"str":"∑","boundary":[0.18078431372549017,0.31460757575757575,0.21709294117647054,0.33248636363636364],"dir":"ltr"},{"str":"1ink","boundary":[0.21941176470588236,0.32260787878787883,0.4789290196078431,0.3383131818181819],"dir":"ltr"},{"str":"k","boundary":[0.17784313725490197,0.33554712121212127,0.18558823529411764,0.34751681818181823],"dir":"ltr"},{"str":"=","boundary":[0.18705882352941178,0.3341825757575758,0.1955629411764706,0.3461522727272728],"dir":"ltr"},{"str":"1","boundary":[0.19450980392156864,0.3345775757575758,0.20177470588235294,0.3465472727272728],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117648,0.3739191968513258,0.8844194117647058,0.3892222271543561],"dir":"rtl"},{"str":":","boundary":[0.8449019607843138,0.36805484848484854,0.8488627450980393,0.38335787878787886],"dir":"ltr"},{"str":"فرض","boundary":[0.8092156862745098,0.3739042524857955,0.8399117647058822,0.38920728278882577],"dir":"rtl"},{"str":"کنی","boundary":[0.7844850980392157,0.3739042524857955,0.804090980392157,0.38920728278882577],"dir":"rtl"},{"str":"M","boundary":[0.7521568627450981,0.37030439393939396,0.7697625490196078,0.3856074242424243],"dir":"ltr"},{"str":"یک","boundary":[0.7256862745098039,0.3739042524857955,0.7470343137254902,0.38920728278882577],"dir":"rtl"},{"str":"-","boundary":[0.699607843137255,0.36805484848484854,0.707123137254902,0.38335787878787886],"dir":"ltr"},{"str":"R","boundary":[0.7072549019607843,0.37030439393939396,0.7205529411764706,0.3856074242424243],"dir":"ltr"},{"str":"م","boundary":[0.6882105882352941,0.3739042524857955,0.6946072549019608,0.38920728278882577],"dir":"rtl"},{"str":"ول","boundary":[0.6615686274509804,0.3739042524857955,0.6788235294117648,0.38920728278882577],"dir":"rtl"},{"str":"باش","boundary":[0.6382105882352942,0.3739042524857955,0.6566084313725491,0.38920728278882577],"dir":"rtl"},{"str":"و","boundary":[0.6172549019607844,0.3739042524857955,0.6237205882352942,0.38920728278882577],"dir":"rtl"},{"str":"{","boundary":[0.5492156862745097,0.3702053030303031,0.5581568627450979,0.3845992424242424],"dir":"ltr"},{"str":"Mi","boundary":[0.5574509803921568,0.3702053030303031,0.5788160784313726,0.38797136363636364],"dir":"ltr"},{"str":"}","boundary":[0.5798039215686274,0.3702053030303031,0.5887450980392156,0.3845992424242424],"dir":"ltr"},{"str":"i","boundary":[0.5878431372549019,0.3760016666666667,0.5921494117647059,0.38797136363636364],"dir":"ltr"},{"str":"∈","boundary":[0.5913725490196079,0.3746371212121212,0.6024170588235294,0.3866068181818182],"dir":"ltr"},{"str":"I","boundary":[0.6017647058823529,0.3760016666666667,0.6069229411764705,0.38797136363636364],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.4872549019607843,0.3739042524857955,0.5453519607843137,0.38920728278882577],"dir":"rtl"},{"str":"تهی","boundary":[0.4582352941176471,0.3739042524857955,0.4823817647058824,0.38920728278882577],"dir":"rtl"},{"str":"از","boundary":[0.44411764705882356,0.3739042524857955,0.45328686274509805,0.38920728278882577],"dir":"rtl"},{"str":"زیر","boundary":[0.4209803921568627,0.3739042524857955,0.4393078431372549,0.38920728278882577],"dir":"rtl"},{"str":"م","boundary":[0.409583137254902,0.3739042524857955,0.41597980392156864,0.38920728278882577],"dir":"rtl"},{"str":"ولهاي","boundary":[0.3572549019607843,0.3739042524857955,0.40019607843137256,0.38920728278882577],"dir":"rtl"},{"str":"M","boundary":[0.33450980392156865,0.37030439393939396,0.3521872549019608,0.3856074242424243],"dir":"ltr"},{"str":"در","boundary":[0.31568627450980397,0.3739042524857955,0.3295094117647059,0.38920728278882577],"dir":"rtl"},{"str":"این","boundary":[0.2909803921568628,0.3739042524857955,0.31047549019607845,0.38920728278882577],"dir":"rtl"},{"str":"صورت","boundary":[0.24764705882352941,0.3739042524857955,0.28571549019607845,0.38920728278882577],"dir":"rtl"},{"str":"شرایط","boundary":[0.20411764705882351,0.3739042524857955,0.24257470588235291,0.38920728278882577],"dir":"rtl"},{"str":"زیر","boundary":[0.17490196078431372,0.3739042524857955,0.19927647058823528,0.38920728278882577],"dir":"rtl"},{"str":"معادلان","boundary":[0.84174,0.4095103130918561,0.8845435294117647,0.4248133433948864],"dir":"rtl"},{"str":":","boundary":[0.8290196078431373,0.4036609090909091,0.8321592156862746,0.41896393939393944],"dir":"ltr"},{"str":"n","boundary":[0.6192156862745098,0.4406986363636363,0.626926274509804,0.4526683333333333],"dir":"ltr"},{"str":"∑","boundary":[0.8229411764705882,0.4502151515151515,0.8391584313725489,0.46779090909090915],"dir":"ltr"},{"str":"Mi","boundary":[0.8431372549019608,0.4532025757575758,0.8640011764705883,0.47066560606060603],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372549,0.4495700000000001,0.875242549019608,0.4648730303030304],"dir":"ltr"},{"str":"1","boundary":[0.8752941176470589,0.4495700000000001,0.8846519607843137,0.4648730303030304],"dir":"ltr"},{"str":"مستقل","boundary":[0.771372549019608,0.45541940400094694,0.8138613725490197,0.47072243430397726],"dir":"rtl"},{"str":"خطی","boundary":[0.7337254901960785,0.45541940400094694,0.7664317647058824,0.47072243430397726],"dir":"rtl"},{"str":"ان","boundary":[0.7221321568627451,0.45541940400094694,0.7284819607843137,0.47072243430397726],"dir":"rtl"},{"str":"اگر","boundary":[0.6901960784313725,0.45541940400094694,0.7078574509803921,0.47072243430397726],"dir":"rtl"},{"str":"∑","boundary":[0.6150980392156863,0.44960757575757576,0.6315949019607843,0.4674863636363637],"dir":"ltr"},{"str":"x","boundary":[0.6374509803921569,0.4526295454545454,0.6467301960784314,0.4670234848484848],"dir":"ltr"},{"str":"i","boundary":[0.6474509803921569,0.4585774242424242,0.6517227450980393,0.4705471212121212],"dir":"ltr"},{"str":"=","boundary":[0.6670588235294118,0.45098863636363634,0.677285294117647,0.46538257575757574],"dir":"ltr"},{"str":"0","boundary":[0.6794117647058824,0.45146363636363634,0.6881480392156863,0.4658575757575757],"dir":"ltr"},{"str":"آنگا","boundary":[0.5829411764705882,0.45541940400094694,0.6044260784313725,0.47072243430397726],"dir":"rtl"},{"str":"x","boundary":[0.5307843137254902,0.4534890909090909,0.5399092156862744,0.46742848484848487],"dir":"ltr"},{"str":"i","boundary":[0.5405882352941176,0.45928545454545455,0.5448362745098039,0.47080060606060603],"dir":"ltr"},{"str":"=","boundary":[0.56,0.4519,0.5699035294117648,0.465839393939394],"dir":"ltr"},{"str":"0","boundary":[0.572156862745098,0.45236,0.5806172549019608,0.46629939393939396],"dir":"ltr"},{"str":"k","boundary":[0.5454901960784313,0.4643407575757576,0.5515758823529412,0.4735831818181818],"dir":"ltr"},{"str":"k","boundary":[0.6523529411764706,0.46376772727272725,0.6584949019607843,0.4733131818181818],"dir":"ltr"},{"str":"براي","boundary":[0.49607843137254903,0.45541940400094694,0.5222223529411766,0.47072243430397726],"dir":"rtl"},{"str":"kn","boundary":[0.4352941176470588,0.4524945454545454,0.4913725490196078,0.46703999999999996],"dir":"ltr"},{"str":"هر","boundary":[0.4758823529411765,0.45541940400094694,0.490768431372549,0.47072243430397726],"dir":"rtl"},{"str":"1","boundary":[0.41058823529411764,0.4513163636363637,0.41941647058823534,0.46586181818181815],"dir":"ltr"},{"str":"≤≤","boundary":[0.4209803921568627,0.4508363636363636,0.47705882352941176,0.4653818181818181],"dir":"ltr"},{"str":"k","boundary":[0.6123529411764705,0.4705471212121212,0.6200635294117647,0.4825168181818182],"dir":"ltr"},{"str":"=","boundary":[0.6215686274509804,0.46918257575757577,0.6300382352941176,0.48115227272727273],"dir":"ltr"},{"str":"1","boundary":[0.6292156862745097,0.46957757575757575,0.6364805882352941,0.48154727272727277],"dir":"ltr"},{"str":"∈","boundary":[0.8250980392156863,0.4694871212121212,0.8358629411764705,0.4811537878787879],"dir":"ltr"},{"str":"iI","boundary":[0.8213725490196079,0.4708171212121212,0.8500460784313726,0.4824837878787879],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372551,0.4948730303030303,0.8752425490196081,0.5101760606060606],"dir":"ltr"},{"str":"2","boundary":[0.8752941176470589,0.4948730303030303,0.8846519607843137,0.5101760606060606],"dir":"ltr"},{"str":"براي","boundary":[0.8382352941176472,0.5007224343039772,0.8645658823529414,0.5160254646070075],"dir":"rtl"},{"str":"هر","boundary":[0.8178431372549021,0.5007224343039772,0.8331119607843138,0.5160254646070075],"dir":"rtl"},{"str":"I","boundary":[0.6521568627450981,0.4944733333333333,0.664321568627451,0.5087157575757576],"dir":"ltr"},{"str":"∑","boundary":[0.6866666666666666,0.4952143939393939,0.7030237254901961,0.5129416666666666],"dir":"ltr"},{"str":"M(M)=φ،","boundary":[0.6252941176470589,0.4965954545454545,0.7820792156862746,0.5160254646070075],"dir":"ltr"},{"str":"∈","boundary":[0.7931372549019607,0.49583560606060606,0.8066982352941177,0.5105325757575757],"dir":"ltr"},{"str":"jijI","boundary":[0.6441176470588236,0.4975110606060606,0.8320264705882353,0.5159851515151515],"dir":"ltr"},{"str":"∈","boundary":[0.6770588235294118,0.5146378787878788,0.6879635294117648,0.5264560606060606],"dir":"ltr"},{"str":"iI\\{j}","boundary":[0.6735294117647059,0.5159851515151515,0.7152462745098039,0.5278033333333333],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372548,0.542600303030303,0.8752425490196077,0.5579033333333333],"dir":"ltr"},{"str":"3","boundary":[0.8752941176470588,0.542600303030303,0.8846519607843136,0.5579033333333333],"dir":"ltr"},{"str":"هر","boundary":[0.8494117647058822,0.54844970703125,0.8642978431372548,0.5637527373342803],"dir":"rtl"},{"str":"عضو","boundary":[0.818235294117647,0.54844970703125,0.8445729411764704,0.5637527373342803],"dir":"rtl"},{"str":"∑","boundary":[0.7715686274509804,0.5429416666666667,0.7879256862745098,0.5606689393939394],"dir":"ltr"},{"str":"Mi","boundary":[0.7917647058823529,0.5460813636363636,0.8126831372549019,0.5637124242424243],"dir":"ltr"},{"str":"داراي","boundary":[0.7300000000000002,0.54844970703125,0.7625866666666669,0.5637527373342803],"dir":"rtl"},{"str":"نمایش","boundary":[0.6847058823529413,0.54844970703125,0.7248254901960786,0.5637527373342803],"dir":"rtl"},{"str":"منحصر","boundary":[0.6370588235294119,0.54844970703125,0.6797750980392158,0.5637527373342803],"dir":"rtl"},{"str":"به","boundary":[0.6203921568627452,0.54844970703125,0.6322643137254903,0.5637527373342803],"dir":"rtl"},{"str":"فردي","boundary":[0.5825490196078432,0.54844970703125,0.6154176470588236,0.5637527373342803],"dir":"rtl"},{"str":"است","boundary":[0.549607843137255,0.54844970703125,0.5773605882352942,0.5637527373342803],"dir":"rtl"},{"str":".","boundary":[0.5464705882352942,0.542600303030303,0.5496986274509803,0.5579033333333333],"dir":"ltr"},{"str":"∈","boundary":[0.7737254901960784,0.5623651515151515,0.7846301960784313,0.5741833333333334],"dir":"ltr"},{"str":"iI","boundary":[0.77,0.5637124242424243,0.7986843137254902,0.5755306060606061],"dir":"ltr"},{"str":"تعری","boundary":[0.8580237254901962,0.602101015033144,0.8848137254901962,0.6174040453361742],"dir":"rtl"},{"str":":","boundary":[0.8380392156862747,0.5962366666666666,0.8420698039215688,0.611539696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.801764705882353,0.6020860706676137,0.8324607843137256,0.6173891009706439],"dir":"rtl"},{"str":"کنی","boundary":[0.7768627450980393,0.6020860706676137,0.796818431372549,0.6173891009706439],"dir":"rtl"},{"str":"{M}","boundary":[0.7076470588235294,0.5994312121212122,0.752461568627451,0.6136736363636364],"dir":"ltr"},{"str":"∈","boundary":[0.7492156862745097,0.6040318181818183,0.7601203921568627,0.61585],"dir":"ltr"},{"str":"iiI","boundary":[0.7327450980392157,0.6053790909090909,0.7741745098039216,0.6171972727272728],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.6427450980392156,0.6020860706676137,0.7012343137254902,0.6173891009706439],"dir":"rtl"},{"str":"از","boundary":[0.6284313725490196,0.6020860706676137,0.6376005882352941,0.6173891009706439],"dir":"rtl"},{"str":"زیر","boundary":[0.6050980392156862,0.6020860706676137,0.6234254901960784,0.6173891009706439],"dir":"rtl"},{"str":"م","boundary":[0.5935047058823529,0.6020860706676137,0.5999013725490195,0.6173891009706439],"dir":"rtl"},{"str":"ولهاي","boundary":[0.5409803921568627,0.6020860706676137,0.5841176470588235,0.6173891009706439],"dir":"rtl"},{"str":"M","boundary":[0.5180392156862744,0.5984862121212121,0.5359127450980392,0.6137892424242425],"dir":"ltr"},{"str":"باش","boundary":[0.4944850980392158,0.6020860706676137,0.5130790196078433,0.6173891009706439],"dir":"rtl"},{"str":"اگر","boundary":[0.46235294117647063,0.6020860706676137,0.47981352941176475,0.6173891009706439],"dir":"rtl"},{"str":"یکی","boundary":[0.43176470588235294,0.6020860706676137,0.4572580392156863,0.6173891009706439],"dir":"rtl"},{"str":"از","boundary":[0.41745098039215683,0.6020860706676137,0.4266201960784314,0.6173891009706439],"dir":"rtl"},{"str":"شرایط","boundary":[0.37372549019607837,0.6020860706676137,0.41218254901960777,0.6173891009706439],"dir":"rtl"},{"str":"قضیهي","boundary":[0.3239215686274511,0.6020860706676137,0.3684860784313725,0.6173891009706439],"dir":"rtl"},{"str":"فوق","boundary":[0.2949019607843138,0.6020860706676137,0.31838803921568637,0.6173891009706439],"dir":"rtl"},{"str":"براي","boundary":[0.2633333333333334,0.6020860706676137,0.28947725490196086,0.6173891009706439],"dir":"rtl"},{"str":"∑","boundary":[0.21666666666666665,0.596730303030303,0.23288392156862744,0.6143060606060606],"dir":"ltr"},{"str":"Mi","boundary":[0.23686274509803923,0.5997177272727273,0.25772666666666666,0.6171807575757576],"dir":"ltr"},{"str":"برقرار","boundary":[0.17490196078431372,0.6020860706676137,0.20728980392156862,0.6173891009706439],"dir":"rtl"},{"str":"∈","boundary":[0.2188235294117647,0.6160022727272727,0.229588431372549,0.6276689393939394],"dir":"ltr"},{"str":"iI","boundary":[0.21509803921568627,0.6173322727272728,0.24377156862745097,0.6289989393939395],"dir":"ltr"},{"str":"باش","boundary":[0.8664458823529411,0.648298191879735,0.8846476470588235,0.6636012221827653],"dir":"rtl"},{"str":"آن","boundary":[0.8362745098039215,0.648298191879735,0.8523139215686273,0.6636012221827653],"dir":"rtl"},{"str":"را","boundary":[0.822156862745098,0.648298191879735,0.8313260784313725,0.6636012221827653],"dir":"rtl"},{"str":"مجموع","boundary":[0.7745098039215685,0.648298191879735,0.8170178431372548,0.6636012221827653],"dir":"rtl"},{"str":"مستقیم","boundary":[0.7229411764705881,0.648298191879735,0.7695688235294117,0.6636012221827653],"dir":"rtl"},{"str":"مینامیم","boundary":[0.668627450980392,0.648298191879735,0.71797,0.6636012221827653],"dir":"rtl"},{"str":"و","boundary":[0.6570588235294117,0.648298191879735,0.663507450980392,0.6636012221827653],"dir":"rtl"},{"str":"با","boundary":[0.6441176470588235,0.648298191879735,0.6521233333333332,0.6636012221827653],"dir":"rtl"},{"str":"⊕","boundary":[0.5994117647058823,0.6434121212121213,0.6138682352941176,0.6579575757575759],"dir":"ltr"},{"str":"Mi","boundary":[0.6188235294117648,0.6450703030303031,0.640243137254902,0.6631393939393941],"dir":"ltr"},{"str":"نمایش","boundary":[0.5494117647058824,0.6482981918797349,0.5896698039215686,0.6636012221827652],"dir":"rtl"},{"str":"میدهیم","boundary":[0.4941176470588235,0.6482981918797349,0.5442445098039216,0.6636012221827652],"dir":"rtl"},{"str":"و","boundary":[0.48254901960784313,0.6482981918797349,0.4889258823529412,0.6636012221827652],"dir":"rtl"},{"str":"در","boundary":[0.46372549019607845,0.6482981918797349,0.4775486274509804,0.6636012221827652],"dir":"rtl"},{"str":"حالت","boundary":[0.42627450980392156,0.6482981918797349,0.45896725490196083,0.6636012221827652],"dir":"rtl"},{"str":"I","boundary":[0.4145098039215686,0.6446983333333333,0.4213211764705882,0.6600013636363635],"dir":"ltr"},{"str":"متناهی","boundary":[0.36588235294117644,0.6482981918797349,0.40958098039215685,0.6636012221827652],"dir":"rtl"},{"str":"می","boundary":[0.342156862745098,0.6482981918797349,0.36091117647058824,0.6636012221827652],"dir":"rtl"},{"str":"MM","boundary":[0.18725490196078431,0.6456433333333333,0.3550980392156863,0.6598857575757575],"dir":"ltr"},{"str":"نویسیم","boundary":[0.29960784313725486,0.6482981918797349,0.34204823529411765,0.6636012221827652],"dir":"rtl"},{"str":"K","boundary":[0.23078431372549021,0.6418975757575758,0.24921568627450982,0.65614],"dir":"ltr"},{"str":"⊕⊕","boundary":[0.21274509803921568,0.6440196969696969,0.29470588235294115,0.6582621212121211],"dir":"ltr"},{"str":"k","boundary":[0.2884313725490196,0.6515912121212122,0.296078431372549,0.663409393939394],"dir":"ltr"},{"str":".","boundary":[0.18098039215686276,0.6424487878787879,0.18420843137254903,0.6577518181818182],"dir":"ltr"},{"str":"1","boundary":[0.20274509803921567,0.6506339393939393,0.20991803921568628,0.6624521212121212],"dir":"ltr"},{"str":"∈","boundary":[0.6005882352941176,0.6582727272727272,0.6117725490196079,0.6703939393939394],"dir":"ltr"},{"str":"iI","boundary":[0.5968627450980392,0.6596545454545455,0.6259607843137255,0.6717757575757577],"dir":"ltr"},{"str":"نکته","boundary":[0.8543137254901961,0.6911919241240531,0.8850690196078431,0.7064949544270834],"dir":"rtl"},{"str":":","boundary":[0.8505882352941178,0.6853275757575757,0.8546188235294119,0.7006306060606061],"dir":"ltr"},{"str":"براي","boundary":[0.8186274509803922,0.6911769797585228,0.8447552941176472,0.7064800100615531],"dir":"rtl"},{"str":"IR","boundary":[0.7086274509803921,0.6890786363636363,0.7632145098039216,0.7028665151515151],"dir":"ltr"},{"str":"⊂","boundary":[0.7803921568627451,0.6875068181818182,0.7931143137254902,0.7012946969696969],"dir":"ltr"},{"str":"XM","boundary":[0.7625490196078432,0.6890786363636363,0.8365092156862746,0.7028665151515151],"dir":"ltr"},{"str":"و","boundary":[0.7484313725490196,0.6911769797585228,0.7548082352941177,0.7064800100615531],"dir":"rtl"},{"str":"≤","boundary":[0.7186274509803922,0.6875068181818182,0.7284233333333333,0.7012946969696969],"dir":"ltr"},{"str":"تعریف","boundary":[0.6633333333333333,0.6911769797585228,0.7011443137254901,0.7064800100615531],"dir":"rtl"},{"str":"میکنیم","boundary":[0.6101960784313726,0.6911769797585228,0.6583621568627451,0.7064800100615531],"dir":"rtl"},{"str":":","boundary":[0.6068627450980392,0.6853275757575757,0.610198431372549,0.7006306060606061],"dir":"ltr"},{"str":"","boundary":[0.2160784313725491,0.7267477272727274,0.5854901960784314,0.7408386363636364],"dir":"ltr"},{"str":"n","boundary":[0.2160784313725491,0.7238689393939395,0.6567364705882354,0.7379598484848485],"dir":"ltr"},{"str":"∑","boundary":[0.22843137254901968,0.7333962121212122,0.4204860784313726,0.7511234848484849],"dir":"ltr"},{"str":"kkkkIXix|xx,iI","boundary":[0.17784313725490206,0.736535909090909,0.4284539215686276,0.7540154545454547],"dir":"ltr"},{"str":"=∈∈","boundary":[0.20156862745098045,0.7349295454545455,0.4370588235294118,0.7490204545454545],"dir":"ltr"},{"str":"","boundary":[0.2160784313725491,0.737353787878788,0.5854901960784314,0.7514446969696971],"dir":"ltr"},{"str":"1","boundary":[0.24235294117647058,0.7530581818181817,0.24952588235294115,0.7648763636363636],"dir":"ltr"},{"str":"=","boundary":[0.2349019607843138,0.7526681818181818,0.27195450980392166,0.7644863636363637],"dir":"ltr"},{"str":"k","boundary":[0.2160784313725491,0.7506871212121212,0.5854901960784314,0.7658336363636364],"dir":"ltr"},{"str":"","boundary":[0.2160784313725491,0.7485659090909093,0.5854901960784314,0.7626568181818183],"dir":"ltr"},{"str":"یک","boundary":[0.8635294117647059,0.785419404000947,0.8849264705882354,0.8007224343039774],"dir":"rtl"},{"str":"زیر","boundary":[0.8405882352941177,0.785419404000947,0.8587243137254903,0.8007224343039774],"dir":"rtl"},{"str":"م","boundary":[0.8289949019607843,0.785419404000947,0.835391568627451,0.8007224343039774],"dir":"rtl"},{"str":"ول","boundary":[0.8021568627450981,0.785419404000947,0.819607843137255,0.8007224343039774],"dir":"rtl"},{"str":"M","boundary":[0.7794117647058824,0.7818195454545455,0.7971307843137255,0.7971225757575758],"dir":"ltr"},{"str":"است","boundary":[0.7464705882352942,0.785419404000947,0.7742233333333334,0.8007224343039774],"dir":"rtl"},{"str":".","boundary":[0.7431372549019608,0.77957,0.7464786274509804,0.7948730303030304],"dir":"ltr"},{"str":"نکته","boundary":[0.8543137254901961,0.8249798029119317,0.8850690196078431,0.8402828332149621],"dir":"rtl"},{"str":"R","boundary":[0.6545098039215687,0.815340303030303,0.6668035294117647,0.8295827272727272],"dir":"ltr"},{"str":"=","boundary":[0.8050980392156863,0.8211424242424243,0.8150015686274511,0.8350818181818183],"dir":"ltr"},{"str":"0","boundary":[0.8170588235294118,0.8216024242424244,0.8255192156862745,0.8355418181818183],"dir":"ltr"},{"str":":","boundary":[0.8505882352941178,0.8191154545454544,0.8544886274509804,0.8344184848484848],"dir":"ltr"},{"str":"اگر","boundary":[0.8274509803921569,0.8249648585464014,0.8449115686274511,0.8402678888494318],"dir":"rtl"},{"str":"IM","boundary":[0.7784313725490196,0.8227315151515152,0.799833725490196,0.8366709090909091],"dir":"ltr"},{"str":"آنگاه","boundary":[0.7429411764705882,0.8249648585464014,0.7706500000000001,0.8402678888494318],"dir":"rtl"},{"str":"M","boundary":[0.72,0.821365,0.7376815686274509,0.8366680303030303],"dir":"ltr"},{"str":"ساختار","boundary":[0.6729411764705882,0.8249648585464014,0.7152349019607843,0.8402678888494318],"dir":"rtl"},{"str":"−","boundary":[0.64,0.8206863636363635,0.6501188235294117,0.8349287878787878],"dir":"ltr"},{"str":"I","boundary":[0.658235294117647,0.831400909090909,0.6643729411764705,0.8456433333333333],"dir":"ltr"},{"str":"م","boundary":[0.6258937254901961,0.8249648585464014,0.6322903921568628,0.8402678888494318],"dir":"rtl"},{"str":"ولی","boundary":[0.5945098039215687,0.8249648585464014,0.6165066666666668,0.8402678888494318],"dir":"rtl"},{"str":"دارد","boundary":[0.5650980392156864,0.8249648585464014,0.589479411764706,0.8402678888494318],"dir":"rtl"},{"str":".","boundary":[0.5617647058823529,0.8191154545454544,0.5649927450980392,0.8344184848484848],"dir":"ltr"},{"str":"نکته","boundary":[0.8543137254901961,0.8692222271543562,0.8850690196078431,0.8845252574573864],"dir":"rtl"},{"str":":","boundary":[0.8505882352941178,0.8633578787878788,0.8545490196078432,0.8786609090909091],"dir":"ltr"},{"str":"اگر","boundary":[0.8274509803921569,0.8692072827888259,0.8449115686274511,0.8845103130918561],"dir":"rtl"},{"str":"R","boundary":[0.5323529411764706,0.8597342424242425,0.5446466666666666,0.8739766666666667],"dir":"ltr"},{"str":"I","boundary":[0.8158823529411765,0.8656074242424243,0.8223252941176472,0.8809104545454546],"dir":"ltr"},{"str":"ای","boundary":[0.803504705882353,0.8692072827888259,0.810646862745098,0.8845103130918561],"dir":"rtl"},{"str":"هآل","boundary":[0.7719607843137255,0.8692072827888259,0.7941176470588235,0.8845103130918561],"dir":"rtl"},{"str":"ماکسیمال","boundary":[0.7062745098039216,0.8692072827888259,0.7673027450980393,0.8845103130918561],"dir":"rtl"},{"str":"باش","boundary":[0.6831125490196078,0.8692072827888259,0.7013143137254902,0.8845103130918561],"dir":"rtl"},{"str":"و","boundary":[0.6623529411764706,0.8692072827888259,0.6686470588235294,0.8845103130918561],"dir":"rtl"},{"str":"IM","boundary":[0.6133333333333334,0.8671089393939394,0.6346266666666667,0.8808968181818181],"dir":"ltr"},{"str":"=","boundary":[0.64,0.8655371212121212,0.6497958823529412,0.8793249999999999],"dir":"ltr"},{"str":"0","boundary":[0.6519607843137255,0.8659921212121212,0.6603292156862746,0.87978],"dir":"ltr"},{"str":"آنگاه","boundary":[0.5776470588235294,0.8692072827888259,0.6055850980392157,0.8845103130918561],"dir":"rtl"},{"str":"−","boundary":[0.5178431372549019,0.8649287878787879,0.5279619607843138,0.8791712121212121],"dir":"ltr"},{"str":"،M","boundary":[0.5507843137254902,0.8656074242424243,0.5726129411764705,0.8845103130918561],"dir":"ltr"},{"str":"فضاي","boundary":[0.4752941176470588,0.8692072827888259,0.5100501960784314,0.8845103130918561],"dir":"rtl"},{"str":"برداري","boundary":[0.4298039215686275,0.8692072827888259,0.46986058823529414,0.8845103130918561],"dir":"rtl"},{"str":".","boundary":[0.39372549019607844,0.8633578787878788,0.3969535294117647,0.8786609090909091],"dir":"ltr"},{"str":"I","boundary":[0.5358823529411765,0.8756433333333332,0.54202,0.8898857575757575],"dir":"ltr"},{"str":"است","boundary":[0.39705882352941174,0.8692072827888259,0.4250076470588236,0.8845103130918561],"dir":"rtl"}],"boundary":[0.1749,0.06988,0.89912,0.88989],"dir":"ltr","type":"paragraph"},{"words":[{"str":"5","boundary":[0.19941176470588237,0.934610303030303,0.20932784313725492,0.9488527272727273],"dir":"ltr"}],"boundary":[0.19941,0.93461,0.20933,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":5,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/576fa4d80e3f07d9a1c82fb4977f852d.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/0703a91e2e71a3b37db821dc34a219d2.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.1716,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"تعری","boundary":[0.8013725490196079,0.10104040897253778,0.8279582352941176,0.1163434392755681],"dir":"rtl"},{"str":"M","boundary":[0.7584313725490196,0.09742560606060596,0.7758852941176471,0.11272863636363628],"dir":"ltr"},{"str":":","boundary":[0.781372549019608,0.0951760606060605,0.7853333333333333,0.1104790909090908],"dir":"ltr"},{"str":"و","boundary":[0.7466666666666667,0.10102546460700748,0.7528917647058824,0.11632849491003779],"dir":"rtl"},{"str":"-","boundary":[0.7203921568627452,0.0951760606060605,0.7276668627450981,0.1104790909090908],"dir":"ltr"},{"str":"R","boundary":[0.7280392156862746,0.09742560606060596,0.7410966666666667,0.11272863636363628],"dir":"ltr"},{"str":"م","boundary":[0.7089949019607844,0.10102546460700748,0.715391568627451,0.11632849491003779],"dir":"rtl"},{"str":"ول","boundary":[0.682156862745098,0.10102546460700748,0.699607843137255,0.11632849491003779],"dir":"rtl"},{"str":"XM","boundary":[0.6145098039215686,0.09892712121212126,0.6880778431372548,0.11271500000000005],"dir":"ltr"},{"str":"و","boundary":[0.6703921568627451,0.10102546460700748,0.6766172549019608,0.11632849491003779],"dir":"rtl"},{"str":"⊂","boundary":[0.6321568627450981,0.09735530303030308,0.6448790196078431,0.11114318181818188],"dir":"ltr"},{"str":"که","boundary":[0.5845098039215687,0.10102546460700762,0.6063111764705883,0.11632849491003792],"dir":"rtl"},{"str":"=","boundary":[0.5405882352941176,0.09735530303030308,0.5503841176470587,0.11114318181818188],"dir":"ltr"},{"str":"MRX","boundary":[0.5194117647058824,0.09892712121212126,0.5807852941176471,0.11271500000000005],"dir":"ltr"},{"str":"آنگاه","boundary":[0.4772549019607843,0.10102546460700762,0.511253725490196,0.11632849491003792],"dir":"rtl"},{"str":"X","boundary":[0.4574509803921568,0.09742560606060612,0.47185470588235295,0.11272863636363642],"dir":"ltr"},{"str":"یک","boundary":[0.4247058823529412,0.10102546460700762,0.45212352941176476,0.11632849491003792],"dir":"rtl"},{"str":"مجموعه","boundary":[0.36470588235294116,0.10102546460700762,0.4194870588235294,0.11632849491003792],"dir":"rtl"},{"str":"مول","boundary":[0.3364458823529411,0.10102546460700762,0.35917294117647053,0.11632849491003792],"dir":"rtl"},{"str":"M","boundary":[0.30392156862745096,0.09742560606060612,0.3216160784313725,0.11272863636363642],"dir":"ltr"},{"str":"است","boundary":[0.2649019607843138,0.10102546460700762,0.29892215686274515,0.11632849491003792],"dir":"rtl"},{"str":"اگر","boundary":[0.23607843137254905,0.10102546460700762,0.2598182352941177,0.11632849491003792],"dir":"rtl"},{"str":"X","boundary":[0.21627450980392163,0.09742560606060612,0.23070862745098045,0.11272863636363642],"dir":"ltr"},{"str":"متناهی","boundary":[0.16137254901960793,0.10102546460700762,0.21112901960784322,0.11632849491003792],"dir":"rtl"},{"str":"باش","boundary":[0.131764705882353,0.10102546460700762,0.15643705882352948,0.11632849491003792],"dir":"rtl"},{"str":"،","boundary":[0.11843137254901968,0.10102546460700762,0.1225490196078432,0.11632849491003792],"dir":"ltr"},{"str":"K","boundary":[0.7729411764705882,0.13023090909090904,0.7913725490196079,0.1444733333333333],"dir":"ltr"},{"str":"=+","boundary":[0.716078431372549,0.13235303030303028,0.807843137254902,0.1465954545454545],"dir":"ltr"},{"str":"MRxRxn1","boundary":[0.6949019607843137,0.13397666666666663,0.8235294117647058,0.15174272727272722],"dir":"ltr"},{"str":"و","boundary":[0.6807843137254903,0.13663152521306815,0.687009411764706,0.15193455551609844],"dir":"rtl"},{"str":"اگر","boundary":[0.6580392156862745,0.13663152521306815,0.6754998039215687,0.15193455551609844],"dir":"rtl"},{"str":"=","boundary":[0.6176470588235294,0.13174469696969693,0.6280888235294118,0.1464416666666666],"dir":"ltr"},{"str":"X{x}","boundary":[0.5998039215686274,0.13342015151515146,0.6562862745098039,0.14811712121212117],"dir":"ltr"},{"str":"آنگاه","boundary":[0.564313725490196,0.13663152521306815,0.5920225490196078,0.15193455551609844],"dir":"rtl"},{"str":"=","boundary":[0.5254901960784314,0.1329613636363636,0.5352860784313725,0.1467492424242424],"dir":"ltr"},{"str":"MRx","boundary":[0.5047058823529411,0.13453318181818177,0.56153,0.14832106060606057],"dir":"ltr"},{"str":"و","boundary":[0.49058823529411766,0.13663152521306815,0.49696509803921574,0.15193455551609844],"dir":"rtl"},{"str":"M","boundary":[0.4676470588235294,0.13303166666666663,0.4852527450980392,0.14833469696969695],"dir":"ltr"},{"str":"را","boundary":[0.4535294117647059,0.13663152521306815,0.4626986274509804,0.15193455551609844],"dir":"rtl"},{"str":"دوري","boundary":[0.4152941176470588,0.13663152521306815,0.44862274509803923,0.15193455551609844],"dir":"rtl"},{"str":"مینامیم","boundary":[0.36098039215686273,0.13663152521306815,0.41032294117647056,0.15193455551609844],"dir":"rtl"},{"str":".","boundary":[0.35764705882352943,0.13078212121212116,0.3608750980392157,0.14608515151515147],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764705,0.17210101503314396,0.8280692156862745,0.18740404533617427],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.1662366666666667,0.7924660784313725,0.181539696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764704,0.17208607066761367,0.783049019607843,0.18738910097064398],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235293,0.17208607066761367,0.747602745098039,0.18738910097064398],"dir":"rtl"},{"str":"M","boundary":[0.6952941176470587,0.16848621212121212,0.7128998039215685,0.18378924242424244],"dir":"ltr"},{"str":"یک","boundary":[0.6692156862745097,0.17208607066761367,0.6901715686274509,0.18738910097064398],"dir":"rtl"},{"str":"−","boundary":[0.6431372549019608,0.1684159090909091,0.652933137254902,0.18220378787878788],"dir":"ltr"},{"str":"R","boundary":[0.6537254901960784,0.16998772727272732,0.665626862745098,0.18377560606060608],"dir":"ltr"},{"str":"م","boundary":[0.6289949019607843,0.17208607066761367,0.635391568627451,0.18738910097064398],"dir":"rtl"},{"str":"ول","boundary":[0.602156862745098,0.17208607066761367,0.6196078431372549,0.18738910097064398],"dir":"rtl"},{"str":"و","boundary":[0.5907843137254902,0.17208607066761367,0.5971611764705883,0.18738910097064398],"dir":"rtl"},{"str":"متناهی","boundary":[0.5421568627450981,0.17208607066761367,0.5858349019607842,0.18738910097064398],"dir":"rtl"},{"str":"باش","boundary":[0.5188235294117647,0.17208607066761367,0.5374174509803922,0.18738910097064398],"dir":"rtl"},{"str":".","boundary":[0.5062745098039215,0.1662366666666667,0.509768431372549,0.181539696969697],"dir":"ltr"},{"str":"در","boundary":[0.48745098039215684,0.17208607066761367,0.5012741176470589,0.18738910097064398],"dir":"rtl"},{"str":"این","boundary":[0.46274509803921565,0.17208607066761367,0.4822401960784313,0.18738910097064398],"dir":"rtl"},{"str":"صورت","boundary":[0.4194117647058824,0.17208607066761367,0.45749666666666666,0.18738910097064398],"dir":"rtl"},{"str":":","boundary":[0.416078431372549,0.1662366666666667,0.41930647058823534,0.181539696969697],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.2016912121212122,0.8189680392156864,0.2169942424242425],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117647,0.2016912121212122,0.8281813725490196,0.2169942424242425],"dir":"ltr"},{"str":"اگر","boundary":[0.7903921568627451,0.20754061612215918,0.8078527450980393,0.22284364642518947],"dir":"rtl"},{"str":"L","boundary":[0.7733333333333334,0.20394075757575764,0.7856994117647059,0.21924378787878793],"dir":"ltr"},{"str":"زیر","boundary":[0.7501960784313727,0.20754061612215918,0.7681313725490198,0.22284364642518947],"dir":"rtl"},{"str":"م","boundary":[0.7388349019607844,0.20754061612215918,0.745231568627451,0.22284364642518947],"dir":"rtl"},{"str":"ولی","boundary":[0.7074509803921569,0.20754061612215918,0.729447843137255,0.22284364642518947],"dir":"rtl"},{"str":"از","boundary":[0.6933333333333335,0.20754061612215918,0.702502549019608,0.22284364642518947],"dir":"rtl"},{"str":"M","boundary":[0.6703921568627452,0.20394075757575764,0.6879150980392158,0.21924378787878793],"dir":"ltr"},{"str":"باش","boundary":[0.6472301960784316,0.20754061612215918,0.6656280392156865,0.22284364642518947],"dir":"rtl"},{"str":"آنگاه","boundary":[0.6049019607843138,0.20754061612215918,0.6328400000000001,0.22284364642518947],"dir":"rtl"},{"str":"زیر","boundary":[0.5819607843137256,0.20754061612215918,0.5998960784313726,0.22284364642518947],"dir":"rtl"},{"str":"م","boundary":[0.5705635294117647,0.20754061612215918,0.5769601960784314,0.22284364642518947],"dir":"rtl"},{"str":"ول","boundary":[0.5437254901960785,0.20754061612215918,0.5611764705882354,0.22284364642518947],"dir":"rtl"},{"str":"ماکسیمال","boundary":[0.47823529411764715,0.20754061612215918,0.5388164705882353,0.22284364642518947],"dir":"rtl"},{"str":"از","boundary":[0.4639215686274511,0.20754061612215918,0.4730907843137256,0.22284364642518947],"dir":"rtl"},{"str":"M","boundary":[0.4411764705882354,0.20394075757575764,0.4590500000000001,0.21924378787878793],"dir":"ltr"},{"str":"وجود","boundary":[0.4049019607843138,0.20754061612215918,0.4357235294117648,0.22284364642518947],"dir":"rtl"},{"str":"دارد","boundary":[0.3754901960784314,0.20754061612215918,0.39987156862745105,0.22284364642518947],"dir":"rtl"},{"str":"LI","boundary":[0.3127450980392157,0.2054422727272728,0.3740592156862745,0.21923015151515157],"dir":"ltr"},{"str":"که","boundary":[0.3549019607843138,0.20754061612215918,0.37052725490196087,0.22284364642518947],"dir":"rtl"},{"str":"⊂","boundary":[0.32823529411764707,0.2038704545454546,0.34095745098039215,0.21765833333333337],"dir":"ltr"},{"str":"M","boundary":[0.7899999999999999,0.23818318181818188,0.8080676470588234,0.2534862121212122],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019608,0.23593363636363646,0.8191641176470589,0.2512366666666668],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117647,0.23593363636363646,0.8281813725490196,0.2512366666666668],"dir":"ltr"},{"str":"زیرم","boundary":[0.7605635294117647,0.24178304036458342,0.7851701960784314,0.25708607066761374],"dir":"rtl"},{"str":"ول","boundary":[0.7337254901960784,0.24178304036458342,0.7511764705882352,0.25708607066761374],"dir":"rtl"},{"str":"ماکسیمال","boundary":[0.668235294117647,0.24178304036458342,0.7288164705882352,0.25708607066761374],"dir":"rtl"},{"str":"دارد","boundary":[0.6388235294117647,0.24178304036458342,0.6632049019607843,0.25708607066761374],"dir":"rtl"},{"str":".","boundary":[0.6354901960784313,0.23593363636363646,0.6391801960784314,0.2512366666666668],"dir":"ltr"},{"str":"M","boundary":[0.41333333333333333,0.27912818181818183,0.4297188235294118,0.29337060606060605],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196076,0.2886161665482956,0.8279582352941175,0.3039191968513259],"dir":"rtl"},{"str":":","boundary":[0.7813725490196077,0.2827518181818183,0.7854031372549019,0.29805484848484864],"dir":"ltr"},{"str":"فرض","boundary":[0.7452941176470588,0.2886012221827653,0.7756074509803921,0.3039042524857956],"dir":"rtl"},{"str":"کنی","boundary":[0.7205635294117647,0.2886012221827653,0.7401694117647059,0.3039042524857956],"dir":"rtl"},{"str":"M","boundary":[0.6880392156862744,0.28500136363636375,0.7056449019607842,0.30030439393939407],"dir":"ltr"},{"str":"یک","boundary":[0.6619607843137254,0.2886012221827653,0.6829166666666666,0.3039042524857956],"dir":"rtl"},{"str":"-","boundary":[0.6360784313725489,0.2827518181818183,0.6433976470588234,0.29805484848484864],"dir":"ltr"},{"str":"R","boundary":[0.6437254901960783,0.28500136363636375,0.656827450980392,0.30030439393939407],"dir":"ltr"},{"str":"م","boundary":[0.6248772549019607,0.2886012221827653,0.6312739215686273,0.3039042524857956],"dir":"rtl"},{"str":"ول","boundary":[0.5982352941176469,0.2886012221827653,0.6154901960784313,0.3039042524857956],"dir":"rtl"},{"str":"و","boundary":[0.5866666666666666,0.2886012221827653,0.5929362745098038,0.3039042524857956],"dir":"rtl"},{"str":"N","boundary":[0.5672549019607842,0.28500136363636375,0.5815533333333331,0.30030439393939407],"dir":"ltr"},{"str":"زیرم","boundary":[0.537658431372549,0.2886012221827653,0.5620643137254902,0.3039042524857956],"dir":"rtl"},{"str":"ولی","boundary":[0.5064705882352941,0.2886012221827653,0.5282713725490196,0.3039042524857956],"dir":"rtl"},{"str":"از","boundary":[0.492156862745098,0.2886012221827653,0.5013260784313726,0.3039042524857956],"dir":"rtl"},{"str":"آن","boundary":[0.4713725490196078,0.2886012221827653,0.4870770588235293,0.3039042524857956],"dir":"rtl"},{"str":"باش","boundary":[0.4482105882352941,0.2886012221827653,0.466608431372549,0.3039042524857956],"dir":"rtl"},{"str":".","boundary":[0.43549019607843126,0.2827518181818183,0.43871823529411746,0.29805484848484864],"dir":"ltr"},{"str":"یعنی","boundary":[0.3741176470588235,0.2886012221827651,0.4037456862745098,0.30390425248579545],"dir":"rtl"},{"str":":","boundary":[0.3707843137254902,0.28275181818181816,0.37401235294117646,0.2980548484848485],"dir":"ltr"},{"str":"N","boundary":[0.4152941176470588,0.29503727272727276,0.428601568627451,0.30927969696969704],"dir":"ltr"},{"str":"{xN|xM}","boundary":[0.15803921568627452,0.330340303030303,0.27324588235294117,0.3445827272727272],"dir":"ltr"},{"str":"=+∈","boundary":[0.14529411764705882,0.32871666666666655,0.2904737254901961,0.34295909090909077],"dir":"ltr"},{"str":"M","boundary":[0.1227450980392157,0.3235221212121212,0.6823376470588235,0.3377645454545454],"dir":"ltr"},{"str":"N","boundary":[0.12470588235294117,0.33943121212121213,0.13801333333333332,0.35367363636363636],"dir":"ltr"},{"str":"با","boundary":[0.8200000000000001,0.37102546460700747,0.828397843137255,0.3863284949100378],"dir":"rtl"},{"str":"عمل","boundary":[0.7874509803921569,0.37102546460700747,0.815087843137255,0.3863284949100378],"dir":"rtl"},{"str":"+=+","boundary":[0.4462745098039216,0.3661386363636364,0.5531372549019608,0.38083560606060607],"dir":"ltr"},{"str":"،r(xN)MN","boundary":[0.4194117647058824,0.3678140909090909,0.563693137254902,0.3863284949100379],"dir":"ltr"},{"str":"+++=++","boundary":[0.581764705882353,0.3661386363636364,0.7890196078431373,0.38083560606060607],"dir":"ltr"},{"str":"(xN)(yN)(xy)N","boundary":[0.5619607843137255,0.3678140909090909,0.8007386274509805,0.3825110606060606],"dir":"ltr"},{"str":"یک","boundary":[0.3903921568627451,0.3710254646070076,0.4117401960784314,0.3863284949100379],"dir":"rtl"},{"str":"-","boundary":[0.3645098039215686,0.3651760606060606,0.37202509803921563,0.38047909090909093],"dir":"ltr"},{"str":"R","boundary":[0.372156862745098,0.36742560606060604,0.3854549019607843,0.38272863636363635],"dir":"ltr"},{"str":"م","boundary":[0.35330862745098035,0.3710254646070076,0.359705294117647,0.3863284949100379],"dir":"rtl"},{"str":"ول","boundary":[0.32666666666666666,0.3710254646070076,0.343921568627451,0.3863284949100379],"dir":"rtl"},{"str":"خارج","boundary":[0.2903921568627451,0.3710254646070076,0.32207313725490194,0.3863284949100379],"dir":"rtl"},{"str":"قسمتی","boundary":[0.2415686274509804,0.3710254646070076,0.2852464705882353,0.3863284949100379],"dir":"rtl"},{"str":"است","boundary":[0.20862745098039215,0.3710254646070076,0.23638019607843133,0.3863284949100379],"dir":"rtl"},{"str":".","boundary":[0.20549019607843136,0.3651760606060606,0.2088070588235294,0.38047909090909093],"dir":"ltr"},{"str":"عضو","boundary":[0.8019607843137255,0.40541940400094695,0.828298431372549,0.42072243430397727],"dir":"rtl"},{"str":"ماکسیمال","boundary":[0.7364705882352942,0.40541940400094695,0.7970517647058823,0.42072243430397727],"dir":"rtl"},{"str":"است","boundary":[0.7035294117647058,0.40541940400094695,0.731282156862745,0.42072243430397727],"dir":"rtl"},{"str":".","boundary":[0.7001960784313725,0.39957000000000004,0.7034939215686274,0.41487303030303035],"dir":"ltr"},{"str":"قانون","boundary":[0.7915686274509803,0.4408888938210227,0.8282096078431371,0.456191924124053],"dir":"rtl"},{"str":"مدولی","boundary":[0.7441176470588234,0.4408888938210227,0.7873701960784313,0.456191924124053],"dir":"rtl"},{"str":":","boundary":[0.7401960784313726,0.4350245454545455,0.7442749019607843,0.45032757575757576],"dir":"ltr"},{"str":"فرض","boundary":[0.7045098039215686,0.4408739494554924,0.7352058823529412,0.4561769797585227],"dir":"rtl"},{"str":"کنی","boundary":[0.679975294117647,0.4408739494554924,0.6995811764705883,0.4561769797585227],"dir":"rtl"},{"str":"L","boundary":[0.596078431372549,0.4372740909090909,0.6081786274509804,0.45257712121212124],"dir":"ltr"},{"str":"،","boundary":[0.6133333333333334,0.4408739494554924,0.6173733333333334,0.4561769797585227],"dir":"ltr"},{"str":"K","boundary":[0.6223529411764706,0.4372740909090909,0.6366513725490196,0.45257712121212124],"dir":"ltr"},{"str":"،","boundary":[0.6417647058823529,0.4408739494554924,0.645804705882353,0.4561769797585227],"dir":"ltr"},{"str":"N","boundary":[0.6509803921568627,0.4372740909090909,0.6652788235294117,0.45257712121212124],"dir":"ltr"},{"str":"سه","boundary":[0.5727450980392157,0.4408739494554924,0.5910241176470589,0.4561769797585227],"dir":"rtl"},{"str":"زیر","boundary":[0.549607843137255,0.4408739494554924,0.5679352941176471,0.4561769797585227],"dir":"rtl"},{"str":"م","boundary":[0.538210588235294,0.4408739494554924,0.5446072549019607,0.4561769797585227],"dir":"rtl"},{"str":"ول","boundary":[0.5115686274509804,0.4408739494554924,0.5288235294117647,0.4561769797585227],"dir":"rtl"},{"str":"از","boundary":[0.4972549019607843,0.4408739494554924,0.5064241176470589,0.4561769797585227],"dir":"rtl"},{"str":"-","boundary":[0.4713725490196079,0.4350245454545455,0.4787990196078432,0.45032757575757576],"dir":"ltr"},{"str":"R","boundary":[0.4790196078431373,0.4372740909090909,0.49222882352941183,0.45257712121212124],"dir":"ltr"},{"str":"م","boundary":[0.4603674509803923,0.4408739494554924,0.46676411764705894,0.4561769797585227],"dir":"rtl"},{"str":"ول","boundary":[0.43352941176470594,0.4408739494554924,0.45098039215686286,0.4561769797585227],"dir":"rtl"},{"str":"M","boundary":[0.4107843137254903,0.4372740909090909,0.4283900000000001,0.45257712121212124],"dir":"ltr"},{"str":"باشن","boundary":[0.38134784313725495,0.4408739494554924,0.4056492156862746,0.4561769797585227],"dir":"rtl"},{"str":"kN","boundary":[0.3023529411764706,0.43793257575757577,0.3700176470588235,0.4523265151515151],"dir":"ltr"},{"str":"که","boundary":[0.3513725490196079,0.4408739494554924,0.366997843137255,0.4561769797585227],"dir":"rtl"},{"str":"⊂","boundary":[0.31607843137254904,0.4362916666666667,0.3293598039215686,0.45068560606060604],"dir":"ltr"},{"str":"آنگاه","boundary":[0.2668627450980392,0.4408739494554924,0.29457156862745093,0.4561769797585227],"dir":"rtl"},{"str":":","boundary":[0.2635294117647059,0.4350245454545455,0.26675745098039216,0.45032757575757576],"dir":"ltr"},{"str":"+=+","boundary":[0.17294117647058824,0.47341136363636366,0.2635294117647059,0.4881083333333333],"dir":"ltr"},{"str":"N(kL)k(NL)II","boundary":[0.12176470588235294,0.4712215151515151,0.4080392156862745,0.48978378787878785],"dir":"ltr"},{"str":"اگر","boundary":[0.8105882352941177,0.5105709191524621,0.8282496078431373,0.5258739494554924],"dir":"rtl"},{"str":"شرط","boundary":[0.7749019607843137,0.5105709191524621,0.8053311764705883,0.5258739494554924],"dir":"rtl"},{"str":"⊂","boundary":[0.7396078431372549,0.5059878787878788,0.7530290196078431,0.5205333333333333],"dir":"ltr"},{"str":"kN","boundary":[0.7258823529411765,0.5076460606060605,0.793590588235294,0.5221915151515151],"dir":"ltr"},{"str":"حذف","boundary":[0.6854901960784314,0.5105709191524621,0.7182458823529412,0.5258739494554924],"dir":"rtl"},{"str":"گردد","boundary":[0.6503921568627451,0.5105709191524621,0.6799603921568628,0.5258739494554924],"dir":"rtl"},{"str":"تساوي","boundary":[0.6054901960784314,0.5105709191524621,0.6455386274509803,0.5258739494554924],"dir":"rtl"},{"str":"برقرار","boundary":[0.5680392156862745,0.5105709191524621,0.6004270588235294,0.5258739494554924],"dir":"rtl"},{"str":"نیست","boundary":[0.5274509803921569,0.5105709191524621,0.5628570588235294,0.5258739494554924],"dir":"rtl"},{"str":"LZ","boundary":[0.35,0.5076460606060605,0.4276470588235294,0.5221915151515151],"dir":"ltr"},{"str":"=","boundary":[0.4307843137254902,0.5059878787878788,0.44111843137254897,0.5205333333333333],"dir":"ltr"},{"str":"3","boundary":[0.44490196078431365,0.5064678787878788,0.4537301960784313,0.5210133333333333],"dir":"ltr"},{"str":"،kZ","boundary":[0.4166666666666667,0.5076460606060605,0.4944423529411765,0.5258739494554924],"dir":"ltr"},{"str":"=","boundary":[0.4903921568627451,0.5059878787878788,0.5007262745098039,0.5205333333333333],"dir":"ltr"},{"str":"2nZ","boundary":[0.476078431372549,0.5064678787878788,0.5515011764705883,0.5221915151515151],"dir":"ltr"},{"str":"و","boundary":[0.4023529411764706,0.5105709191524621,0.4087298039215686,0.5258739494554924],"dir":"rtl"},{"str":"=","boundary":[0.36568627450980395,0.5059878787878788,0.3760203921568628,0.5205333333333333],"dir":"ltr"},{"str":"7","boundary":[0.37980392156862747,0.5064678787878788,0.3886321568627451,0.5210133333333333],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941177,0.5392669696969697,0.8282805882352942,0.55457],"dir":"ltr"},{"str":"فرض","boundary":[0.7849019607843137,0.5451163736979167,0.8155980392156863,0.5604194040009469],"dir":"rtl"},{"str":"کنی","boundary":[0.7601713725490197,0.5451163736979167,0.7797772549019609,0.5604194040009469],"dir":"rtl"},{"str":"-","boundary":[0.6927450980392157,0.5392669696969697,0.700171568627451,0.55457],"dir":"ltr"},{"str":"R","boundary":[0.700392156862745,0.5415165151515151,0.7136013725490196,0.5568195454545455],"dir":"ltr"},{"str":"،","boundary":[0.7186274509803922,0.5451163736979167,0.7226674509803922,0.5604194040009469],"dir":"ltr"},{"str":"M","boundary":[0.7276470588235294,0.5415165151515151,0.7452527450980392,0.5568195454545455],"dir":"ltr"},{"str":"م","boundary":[0.6815686274509803,0.5451163736979167,0.6877939215686274,0.5604194040009469],"dir":"rtl"},{"str":"ول","boundary":[0.6549019607843136,0.5451163736979167,0.6723529411764705,0.5604194040009469],"dir":"rtl"},{"str":"غیرصفر","boundary":[0.6045098039215686,0.5451163736979167,0.650013137254902,0.5604194040009469],"dir":"rtl"},{"str":"باش","boundary":[0.5811517647058824,0.5451163736979167,0.5993535294117647,0.5604194040009469],"dir":"rtl"},{"str":"و","boundary":[0.560392156862745,0.5451163736979167,0.5667690196078431,0.5604194040009469],"dir":"rtl"},{"str":"I","boundary":[0.5488235294117646,0.5415165151515151,0.5552468627450979,0.5568195454545455],"dir":"ltr"},{"str":"ای","boundary":[0.536445882352941,0.5451163736979167,0.5435880392156861,0.5604194040009469],"dir":"rtl"},{"str":"هآلی","boundary":[0.500392156862745,0.5451163736979167,0.5270588235294116,0.5604194040009469],"dir":"rtl"},{"str":"از","boundary":[0.48607843137254886,0.5451163736979167,0.49524764705882335,0.5604194040009469],"dir":"rtl"},{"str":"،IMR","boundary":[0.26078431372548994,0.5415165151515151,0.4810523529411763,0.5604194040009469],"dir":"ltr"},{"str":"قرار","boundary":[0.4321568627450978,0.5451163736979167,0.4534198039215684,0.5604194040009469],"dir":"rtl"},{"str":"دهی","boundary":[0.4054654901960782,0.5451163736979167,0.42738607843137233,0.5604194040009469],"dir":"rtl"},{"str":"UΓ=0(M)(:I)","boundary":[0.24901960784313726,0.5371418181818183,0.3933333333333333,0.5568389393939395],"dir":"ltr"},{"str":"اگر","boundary":[0.22862745098039214,0.5451163736979167,0.24608803921568626,0.5604194040009469],"dir":"rtl"},{"str":"I","boundary":[0.21705882352941172,0.5415165151515151,0.22350176470588232,0.5568195454545455],"dir":"ltr"},{"str":"ای","boundary":[0.2046811764705882,0.5451163736979167,0.2118233333333333,0.5604194040009469],"dir":"rtl"},{"str":"هآل","boundary":[0.17313725490196077,0.5451163736979167,0.19529411764705878,0.5604194040009469],"dir":"rtl"},{"str":"متناهی","boundary":[0.11843137254901959,0.5451163736979167,0.16818784313725488,0.5604194040009469],"dir":"rtl"},{"str":"≥","boundary":[0.3249019607843137,0.5593356060606061,0.33319078431372545,0.5710022727272727],"dir":"ltr"},{"str":"0n","boundary":[0.31607843137254876,0.559720606060606,0.41840372549019583,0.5723322727272727],"dir":"ltr"},{"str":"M","boundary":[0.649607843137255,0.586249393939394,0.6659933333333333,0.6004918181818182],"dir":"ltr"},{"str":"0","boundary":[0.7066666666666667,0.5919139393939394,0.7153109803921569,0.6061563636363636],"dir":"ltr"},{"str":"()","boundary":[0.6254901960784314,0.5930675757575757,0.7427450980392157,0.60731],"dir":"ltr"},{"str":"Γ=R","boundary":[0.6064705882352942,0.5914439393939394,0.796542549019608,0.607425606060606],"dir":"ltr"},{"str":"مول","boundary":[0.8111517647058823,0.5957224343039772,0.8281435294117647,0.6110254646070076],"dir":"rtl"},{"str":"باش","boundary":[0.7601713725490198,0.5957224343039772,0.7783731372549021,0.6110254646070076],"dir":"rtl"},{"str":"آنگاه","boundary":[0.7180392156862746,0.5957224343039772,0.7457480392156864,0.6110254646070076],"dir":"rtl"},{"str":"I","boundary":[0.6184313725490196,0.5990154545454546,0.6235960784313725,0.6108336363636363],"dir":"ltr"},{"str":"Γ","boundary":[0.6333333333333334,0.6005348484848485,0.6444474509803922,0.6147772727272727],"dir":"ltr"},{"str":"I","boundary":[0.6452941176470588,0.6081063636363636,0.6503870588235294,0.6199245454545455],"dir":"ltr"},{"str":"(M)","boundary":[0.6525490196078432,0.6021584848484848,0.6830854901960784,0.616400909090909],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941176,0.6315396969696969,0.8280147058823529,0.6468427272727273],"dir":"ltr"},{"str":"فرض","boundary":[0.7850980392156863,0.6373891009706439,0.8154113725490196,0.6526921312736741],"dir":"rtl"},{"str":"کنی","boundary":[0.7605635294117647,0.6373891009706439,0.780169411764706,0.6526921312736741],"dir":"rtl"},{"str":"-","boundary":[0.6990196078431373,0.6315396969696969,0.706254705882353,0.6468427272727273],"dir":"ltr"},{"str":"R","boundary":[0.7066666666666667,0.6337892424242424,0.7196845098039216,0.6490922727272727],"dir":"ltr"},{"str":"،","boundary":[0.7249019607843138,0.6373891009706439,0.7287505882352943,0.6526921312736741],"dir":"ltr"},{"str":"L","boundary":[0.7339215686274511,0.6337892424242424,0.7458303921568629,0.6490922727272727],"dir":"ltr"},{"str":"م","boundary":[0.687818431372549,0.6373891009706439,0.6942150980392157,0.6526921312736741],"dir":"rtl"},{"str":"ول","boundary":[0.6611764705882353,0.6373891009706439,0.6784313725490196,0.6526921312736741],"dir":"rtl"},{"str":"و","boundary":[0.6498039215686274,0.6373891009706439,0.6559894117647059,0.6526921312736741],"dir":"rtl"},{"str":"M","boundary":[0.6268627450980392,0.6337892424242424,0.6444684313725489,0.6490922727272727],"dir":"ltr"},{"str":"و","boundary":[0.6154901960784314,0.6373891009706439,0.6218670588235294,0.6526921312736741],"dir":"rtl"},{"str":"N","boundary":[0.5958823529411765,0.6337892424242424,0.6101807843137255,0.6490922727272727],"dir":"ltr"},{"str":"زیرم","boundary":[0.5664458823529412,0.6373891009706439,0.5908517647058824,0.6526921312736741],"dir":"rtl"},{"str":"ولهایی","boundary":[0.5101960784313726,0.6373891009706439,0.5570588235294118,0.6526921312736741],"dir":"rtl"},{"str":"از","boundary":[0.49607843137254903,0.6373891009706439,0.5052476470588235,0.6526921312736741],"dir":"rtl"},{"str":".","boundary":[0.4705627450980393,0.6315396969696969,0.47383509803921575,0.6468427272727273],"dir":"ltr"},{"str":"L","boundary":[0.47882352941176476,0.6337892424242424,0.4909954901960784,0.6490922727272727],"dir":"ltr"},{"str":"اگر","boundary":[0.4480392156862746,0.6373891009706439,0.4657005882352942,0.6526921312736741],"dir":"rtl"},{"str":"MNM","boundary":[0.3233333333333333,0.6337892424242424,0.4050980392156863,0.6490922727272727],"dir":"ltr"},{"str":"+","boundary":[0.41117647058823537,0.6337892424242424,0.4225490196078432,0.6490922727272727],"dir":"ltr"},{"str":"N","boundary":[0.4284313725490197,0.6337892424242424,0.44366117647058834,0.6490922727272727],"dir":"ltr"},{"str":"و","boundary":[0.37588235294117656,0.6373891009706439,0.3831905882352942,0.6526921312736741],"dir":"rtl"},{"str":"I","boundary":[0.34294117647058825,0.6309884848484849,0.35510588235294116,0.6452309090909091],"dir":"ltr"},{"str":"متناهی","boundary":[0.2719607843137255,0.6373891009706439,0.3156388235294118,0.6526921312736741],"dir":"rtl"},{"str":"مول","boundary":[0.24997529411764707,0.6373891009706439,0.2669670588235294,0.6526921312736741],"dir":"rtl"},{"str":"باشن","boundary":[0.21134784313725488,0.6373891009706439,0.23584529411764701,0.6526921312736741],"dir":"rtl"},{"str":"آنگاه","boundary":[0.16901960784313722,0.6373891009706439,0.1969576470588235,0.6526921312736741],"dir":"rtl"},{"str":"M","boundary":[0.14627450980392157,0.6337892424242424,0.16388019607843138,0.6490922727272727],"dir":"ltr"},{"str":"نیز","boundary":[0.11843137254901959,0.6373891009706439,0.14109235294117645,0.6526921312736741],"dir":"rtl"},{"str":"متناهی","boundary":[0.7845098039215688,0.6716315252130682,0.828187843137255,0.6869345555160985],"dir":"rtl"},{"str":"مول","boundary":[0.7625243137254903,0.6716315252130682,0.7795160784313727,0.6869345555160985],"dir":"rtl"},{"str":"است","boundary":[0.7201960784313727,0.6716315252130682,0.7481449019607843,0.6869345555160985],"dir":"rtl"},{"str":".","boundary":[0.7168627450980393,0.6657821212121212,0.7200907843137255,0.6810851515151515],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941177,0.7001760606060606,0.8280845098039217,0.7154790909090909],"dir":"ltr"},{"str":"فرض","boundary":[0.7849019607843137,0.7060254646070077,0.8155980392156863,0.7213284949100379],"dir":"rtl"},{"str":"کنی","boundary":[0.7601713725490197,0.7060254646070077,0.7797772549019609,0.7213284949100379],"dir":"rtl"},{"str":"M","boundary":[0.7276470588235294,0.7024256060606061,0.7452527450980392,0.7177286363636365],"dir":"ltr"},{"str":"یک","boundary":[0.7013725490196079,0.7060254646070077,0.7227205882352942,0.7213284949100379],"dir":"rtl"},{"str":"-","boundary":[0.6752941176470588,0.7001760606060606,0.6828094117647059,0.7154790909090909],"dir":"ltr"},{"str":"R","boundary":[0.6829411764705883,0.7024256060606061,0.6962392156862746,0.7177286363636365],"dir":"ltr"},{"str":"م","boundary":[0.6638968627450981,0.7060254646070077,0.6702935294117648,0.7213284949100379],"dir":"rtl"},{"str":"ول","boundary":[0.6372549019607843,0.7060254646070077,0.6545098039215687,0.7213284949100379],"dir":"rtl"},{"str":"و","boundary":[0.625686274509804,0.7060254646070077,0.6321519607843138,0.7213284949100379],"dir":"rtl"},{"str":"I","boundary":[0.6139215686274511,0.7024256060606061,0.620516274509804,0.7177286363636365],"dir":"ltr"},{"str":"ای","boundary":[0.6013478431372549,0.7060254646070077,0.60849,0.7213284949100379],"dir":"rtl"},{"str":"هآل","boundary":[0.569607843137255,0.7060254646070077,0.5919607843137255,0.7213284949100379],"dir":"rtl"},{"str":"از","boundary":[0.5552941176470588,0.7060254646070077,0.5644633333333334,0.7213284949100379],"dir":"rtl"},{"str":"R","boundary":[0.5368627450980392,0.7024256060606061,0.5502017647058823,0.7177286363636365],"dir":"ltr"},{"str":"باش","boundary":[0.5133086274509805,0.7060254646070077,0.5315103921568628,0.7213284949100379],"dir":"rtl"},{"str":"که","boundary":[0.4831372549019608,0.7060254646070077,0.49876254901960787,0.7213284949100379],"dir":"rtl"},{"str":"N","boundary":[0.4076470588235294,0.7024256060606061,0.4219454901960784,0.7177286363636365],"dir":"ltr"},{"str":"،","boundary":[0.42725490196078436,0.7060254646070077,0.43129490196078435,0.7213284949100379],"dir":"ltr"},{"str":"IM","boundary":[0.43411764705882355,0.7037921212121212,0.45552,0.7177315151515151],"dir":"ltr"},{"str":"=","boundary":[0.46078431372549017,0.7022030303030303,0.4706878431372549,0.7161424242424242],"dir":"ltr"},{"str":"0","boundary":[0.47274509803921566,0.7026630303030303,0.4812054901960784,0.7166024242424243],"dir":"ltr"},{"str":"زیرم","boundary":[0.3778545098039216,0.7060254646070077,0.40226039215686277,0.7213284949100379],"dir":"rtl"},{"str":"ولی","boundary":[0.34666666666666673,0.7060254646070077,0.36846745098039224,0.7213284949100379],"dir":"rtl"},{"str":"از","boundary":[0.3321568627450981,0.7060254646070077,0.3413260784313726,0.7213284949100379],"dir":"rtl"},{"str":"-","boundary":[0.30607843137254903,0.7001760606060606,0.31342215686274516,0.7154790909090909],"dir":"ltr"},{"str":"R","boundary":[0.3137254901960785,0.7024256060606061,0.3268519607843138,0.7177286363636365],"dir":"ltr"},{"str":"م","boundary":[0.2946811764705883,0.7060254646070077,0.30107784313725494,0.7213284949100379],"dir":"rtl"},{"str":"ول","boundary":[0.26803921568627453,0.7060254646070077,0.28529411764705886,0.7213284949100379],"dir":"rtl"},{"str":"M","boundary":[0.24509803921568632,0.7024256060606061,0.2627037254901961,0.7177286363636365],"dir":"ltr"},{"str":"است","boundary":[0.21196078431372548,0.7060254646070077,0.2397135294117647,0.7213284949100379],"dir":"rtl"},{"str":"اگر","boundary":[0.18921568627450983,0.7060254646070077,0.20687705882352944,0.7213284949100379],"dir":"rtl"},{"str":"و","boundary":[0.17764705882352944,0.7060254646070077,0.18402392156862749,0.7213284949100379],"dir":"rtl"},{"str":"فقط","boundary":[0.1470588235294118,0.7060254646070077,0.17250823529411768,0.7213284949100379],"dir":"rtl"},{"str":"اگر","boundary":[0.11843137254901964,0.7060254646070077,0.14217117647058827,0.7213284949100379],"dir":"rtl"},{"str":"R","boundary":[0.744313725490196,0.7360978787878788,0.7566074509803921,0.750340303030303],"dir":"ltr"},{"str":"زیرم","boundary":[0.8037007843137255,0.7455709191524622,0.8283074509803922,0.7608739494554926],"dir":"rtl"},{"str":"ول","boundary":[0.7768627450980391,0.7455709191524622,0.794313725490196,0.7608739494554926],"dir":"rtl"},{"str":"از","boundary":[0.7627450980392156,0.7455709191524622,0.7719143137254901,0.7608739494554926],"dir":"rtl"},{"str":"−","boundary":[0.7298039215686274,0.7412924242424243,0.7399227450980392,0.7555348484848485],"dir":"ltr"},{"str":"I","boundary":[0.7478431372549019,0.7520069696969697,0.7539807843137255,0.7662493939393938],"dir":"ltr"},{"str":"م","boundary":[0.7154901960784312,0.7455709191524622,0.7217154901960784,0.7608739494554926],"dir":"rtl"},{"str":"ول","boundary":[0.6888235294117646,0.7455709191524622,0.7062745098039215,0.7608739494554926],"dir":"rtl"},{"str":"M","boundary":[0.6660784313725489,0.7419710606060608,0.6835127450980392,0.757274090909091],"dir":"ltr"},{"str":"باش","boundary":[0.6427203921568627,0.7455709191524622,0.660922156862745,0.7608739494554926],"dir":"rtl"},{"str":".","boundary":[0.6299999999999999,0.7397215151515152,0.6330566666666666,0.7550245454545456],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196077,0.7921010150331439,0.8279582352941176,0.8074040453361743],"dir":"rtl"},{"str":":","boundary":[0.7813725490196078,0.7862366666666667,0.7855992156862746,0.801539696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.7452941176470589,0.7920860706676136,0.7756074509803922,0.807389100970644],"dir":"rtl"},{"str":"کنی","boundary":[0.7205635294117647,0.7920860706676136,0.740169411764706,0.807389100970644],"dir":"rtl"},{"str":"M","boundary":[0.6880392156862745,0.7884862121212122,0.7054535294117646,0.8037892424242424],"dir":"ltr"},{"str":"و","boundary":[0.6766666666666666,0.7920860706676136,0.6828521568627451,0.807389100970644],"dir":"rtl"},{"str":"N","boundary":[0.6570588235294118,0.7884862121212122,0.6711658823529412,0.8037892424242424],"dir":"ltr"},{"str":"دو","boundary":[0.6382352941176471,0.7920860706676136,0.652364705882353,0.807389100970644],"dir":"rtl"},{"str":"-","boundary":[0.6123529411764705,0.7862366666666667,0.6198731372549019,0.801539696969697],"dir":"ltr"},{"str":"R","boundary":[0.62,0.7884862121212122,0.6333029411764706,0.8037892424242424],"dir":"ltr"},{"str":"م","boundary":[0.6011517647058823,0.7920860706676136,0.6075484313725489,0.807389100970644],"dir":"rtl"},{"str":"ول","boundary":[0.574313725490196,0.7920860706676136,0.5917647058823529,0.807389100970644],"dir":"rtl"},{"str":"باشن","boundary":[0.5450733333333333,0.7920860706676136,0.569374705882353,0.807389100970644],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.4507843137254902,0.7871992424242423,0.5629021568627451,0.8035716666666666],"dir":"ltr"},{"str":"را","boundary":[0.43392156862745096,0.7920860706676136,0.4430907843137255,0.807389100970644],"dir":"rtl"},{"str":"-","boundary":[0.4080392156862745,0.7862366666666667,0.4154656862745098,0.801539696969697],"dir":"ltr"},{"str":"R","boundary":[0.41568627450980394,0.7884862121212122,0.4288954901960784,0.8037892424242424],"dir":"ltr"},{"str":"همریختی","boundary":[0.3454901960784314,0.7920860706676136,0.40339137254901963,0.807389100970644],"dir":"rtl"},{"str":"نامیم","boundary":[0.31000000000000005,0.7920860706676136,0.34077196078431377,0.807389100970644],"dir":"rtl"},{"str":"هرگاه","boundary":[0.2711764705882353,0.7920860706676136,0.3048766666666667,0.807389100970644],"dir":"rtl"},{"str":":","boundary":[0.267843137254902,0.7862366666666667,0.27107117647058826,0.801539696969697],"dir":"ltr"},{"str":"φ+=φ+φ(mn)(m)(n)","boundary":[0.12098039215686275,0.8246234848484847,0.2932943137254902,0.840995909090909],"dir":"ltr"},{"str":"اگر","boundary":[0.8105882352941176,0.8617830403645834,0.8282496078431373,0.8770860706676137],"dir":"rtl"},{"str":"φ","boundary":[0.7911764705882353,0.8573545454545455,0.8020541176470588,0.8712939393939394],"dir":"ltr"},{"str":"پوشا","boundary":[0.7601960784313726,0.8617830403645834,0.7869803921568628,0.8770860706676137],"dir":"rtl"},{"str":"باش","boundary":[0.7368380392156862,0.8617830403645834,0.7552358823529411,0.8770860706676137],"dir":"rtl"},{"str":"-","boundary":[0.7013725490196079,0.8559336363636364,0.7087990196078432,0.8712366666666667],"dir":"ltr"},{"str":"R","boundary":[0.7090196078431373,0.8581831818181819,0.7222288235294119,0.8734862121212122],"dir":"ltr"},{"str":"بروریختی","boundary":[0.6392156862745098,0.8617830403645834,0.69637,0.8770860706676137],"dir":"rtl"},{"str":"و","boundary":[0.6276470588235294,0.8617830403645834,0.6340682352941176,0.8770860706676137],"dir":"rtl"},{"str":"اگر","boundary":[0.6049019607843137,0.8617830403645834,0.6225633333333334,0.8770860706676137],"dir":"rtl"},{"str":"φ","boundary":[0.5909803921568627,0.8581121212121213,0.6018580392156864,0.8720515151515151],"dir":"ltr"},{"str":"یکبهیک","boundary":[0.5290196078431373,0.8617830403645834,0.5835049019607843,0.8770860706676137],"dir":"rtl"},{"str":"باش","boundary":[0.499583137254902,0.8617830403645834,0.5238633333333333,0.8770860706676137],"dir":"rtl"},{"str":"-","boundary":[0.464313725490196,0.8559336363636364,0.47181196078431364,0.8712366666666667],"dir":"ltr"},{"str":"R","boundary":[0.47196078431372546,0.8581831818181819,0.48524176470588226,0.8734862121212122],"dir":"ltr"},{"str":"تکریختی","boundary":[0.39960784313725484,0.8617830403645834,0.4598017647058823,0.8770860706676137],"dir":"rtl"},{"str":"اگر","boundary":[0.3709803921568627,0.8617830403645834,0.39472019607843134,0.8770860706676137],"dir":"rtl"},{"str":"φ","boundary":[0.35705882352941176,0.8581121212121213,0.3679364705882353,0.8720515151515151],"dir":"ltr"},{"str":"دوسویی","boundary":[0.2952941176470589,0.8617830403645834,0.3498203921568628,0.8770860706676137],"dir":"rtl"},{"str":"باش","boundary":[0.26605372549019607,0.8617830403645834,0.2903339215686275,0.8770860706676137],"dir":"rtl"},{"str":"-","boundary":[0.23078431372549021,0.8559336363636364,0.2383045098039216,0.8712366666666667],"dir":"ltr"},{"str":"R","boundary":[0.23843137254901964,0.8581831818181819,0.2517343137254902,0.8734862121212122],"dir":"ltr"},{"str":"یکریختی","boundary":[0.16568627450980394,0.8617830403645834,0.2260980392156863,0.8770860706676137],"dir":"rtl"},{"str":"نامی","boundary":[0.1340929411764706,0.8617830403645834,0.160751568627451,0.8770860706676137],"dir":"rtl"},{"str":"ه","boundary":[0.11843137254901964,0.8617830403645834,0.12470588235294121,0.8770860706676137],"dir":"rtl"},{"str":"میشود","boundary":[0.7843137254901962,0.8961769797585228,0.8281660784313726,0.9114800100615531],"dir":"rtl"},{"str":".","boundary":[0.7809803921568628,0.8903275757575758,0.784208431372549,0.9056306060606061],"dir":"ltr"},{"str":"6","boundary":[0.14333333333333334,0.9332466666666668,0.152401568627451,0.947489090909091],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.8284,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":6,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/e935692ef329925730edc451c06527ef.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/d79dbf193f2d3bf7624ba0a059483b45.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.10909,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"},{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"},{"str":"قضیه","boundary":[0.8488235294117648,0.09831313624526511,0.8844194117647058,0.11361616654829541],"dir":"rtl"},{"str":":","boundary":[0.8449019607843138,0.09244878787878781,0.8488627450980393,0.10775181818181813],"dir":"ltr"},{"str":"فرض","boundary":[0.8090196078431373,0.09829819187973479,0.8397156862745098,0.1136012221827651],"dir":"rtl"},{"str":"کنی","boundary":[0.7842890196078431,0.09829819187973479,0.8038949019607844,0.1136012221827651],"dir":"rtl"},{"str":"M","boundary":[0.7519607843137255,0.09469833333333329,0.7695664705882352,0.11000136363636359],"dir":"ltr"},{"str":"و","boundary":[0.7403921568627451,0.09829819187973479,0.7467690196078431,0.1136012221827651],"dir":"rtl"},{"str":"N","boundary":[0.7209803921568627,0.09469833333333329,0.7352788235294118,0.11000136363636359],"dir":"ltr"},{"str":"دو","boundary":[0.7019607843137255,0.09829819187973479,0.7160901960784314,0.1136012221827651],"dir":"rtl"},{"str":"-","boundary":[0.676078431372549,0.09244878787878781,0.6835986274509803,0.10775181818181813],"dir":"ltr"},{"str":"R","boundary":[0.6837254901960784,0.09469833333333329,0.697028431372549,0.11000136363636359],"dir":"ltr"},{"str":"م","boundary":[0.6648772549019607,0.09829819187973479,0.6712739215686273,0.1136012221827651],"dir":"rtl"},{"str":"ول","boundary":[0.638235294117647,0.09829819187973479,0.6554901960784313,0.1136012221827651],"dir":"rtl"},{"str":"باشن","boundary":[0.6087988235294117,0.09829819187973479,0.6331001960784314,0.1136012221827651],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.5031372549019608,0.09341136363636357,0.6152550980392156,0.10978378787878781],"dir":"ltr"},{"str":"و","boundary":[0.5880392156862745,0.09829819187973479,0.5945098039215686,0.1136012221827651],"dir":"rtl"},{"str":"-","boundary":[0.47058823529411764,0.09244878787878781,0.47801470588235295,0.10775181818181813],"dir":"ltr"},{"str":"R","boundary":[0.4782352941176471,0.09469833333333329,0.4914445098039216,0.11000136363636359],"dir":"ltr"},{"str":"،","boundary":[0.49647058823529416,0.09829819187973479,0.5005105882352942,0.1136012221827651],"dir":"ltr"},{"str":"همریختی","boundary":[0.4080392156862745,0.09829819187973479,0.46574901960784315,0.1136012221827651],"dir":"rtl"},{"str":":","boundary":[0.4047058823529412,0.09244878787878781,0.40793392156862746,0.10775181818181813],"dir":"ltr"},{"str":"(","boundary":[0.8695823529411765,0.12805484848484847,0.8751915686274511,0.14335787878787878],"dir":"ltr"},{"str":"1","boundary":[0.8752941176470588,0.12805484848484847,0.8845821568627449,0.14335787878787878],"dir":"ltr"},{"str":"اگر","boundary":[0.8470588235294118,0.13390425248579546,0.8647201960784313,0.14920728278882575],"dir":"rtl"},{"str":"M","boundary":[0.8241176470588235,0.13030439393939394,0.8417676470588235,0.14560742424242426],"dir":"ltr"},{"str":"متناهی","boundary":[0.7754901960784313,0.13390425248579546,0.8191682352941175,0.14920728278882575],"dir":"rtl"},{"str":"مول","boundary":[0.753504705882353,0.13390425248579546,0.7704964705882352,0.14920728278882575],"dir":"rtl"},{"str":"باش","boundary":[0.7209556862745098,0.13390425248579546,0.7393535294117647,0.14920728278882575],"dir":"rtl"},{"str":"آنگاه","boundary":[0.678627450980392,0.13390425248579546,0.7065339215686274,0.14920728278882575],"dir":"rtl"},{"str":"Im","boundary":[0.6423529411764706,0.13069287878787877,0.6625813725490196,0.14538984848484848],"dir":"ltr"},{"str":"φ","boundary":[0.6652941176470588,0.12901742424242424,0.6767629411764706,0.14371439393939395],"dir":"ltr"},{"str":"نیز","boundary":[0.6176470588235294,0.13390425248579546,0.6344209803921569,0.14920728278882575],"dir":"rtl"},{"str":"متناهی","boundary":[0.5690196078431373,0.13390425248579546,0.6127182352941176,0.14920728278882575],"dir":"rtl"},{"str":"مول","boundary":[0.5470341176470589,0.13390425248579546,0.5640258823529413,0.14920728278882575],"dir":"rtl"},{"str":"است","boundary":[0.5049019607843137,0.13390425248579546,0.5328507843137256,0.14920728278882575],"dir":"rtl"},{"str":".","boundary":[0.5015686274509804,0.12805484848484847,0.5047966666666666,0.14335787878787878],"dir":"ltr"},{"str":"(","boundary":[0.8695823529411766,0.16244878787878791,0.8751915686274512,0.1777518181818182],"dir":"ltr"},{"str":"2","boundary":[0.8752941176470589,0.16244878787878791,0.8848480392156863,0.1777518181818182],"dir":"ltr"},{"str":"اگر","boundary":[0.8470588235294119,0.16829819187973488,0.8647201960784315,0.18360122218276517],"dir":"rtl"},{"str":"Im","boundary":[0.8107843137254902,0.1650868181818182,0.8310127450980391,0.17978378787878788],"dir":"ltr"},{"str":"φ","boundary":[0.8337254901960784,0.16341136363636366,0.8451943137254901,0.17810833333333334],"dir":"ltr"},{"str":"و","boundary":[0.7962745098039216,0.16829819187973488,0.8026513725490196,0.18360122218276517],"dir":"rtl"},{"str":"ker","boundary":[0.7564705882352941,0.1650868181818182,0.7792613725490196,0.17978378787878788],"dir":"ltr"},{"str":"φ","boundary":[0.7823529411764706,0.16341136363636366,0.7938217647058824,0.17810833333333334],"dir":"ltr"},{"str":"متناهی","boundary":[0.7050980392156863,0.16829819187973488,0.7487760784313725,0.18360122218276517],"dir":"rtl"},{"str":"مول","boundary":[0.6831125490196078,0.16829819187973488,0.7001043137254902,0.18360122218276517],"dir":"rtl"},{"str":"باش","boundary":[0.6505617647058823,0.16829819187973488,0.6689596078431372,0.18360122218276517],"dir":"rtl"},{"str":"،","boundary":[0.6370588235294118,0.16829819187973488,0.6411747058823529,0.18360122218276517],"dir":"ltr"},{"str":"آنگاه","boundary":[0.604313725490196,0.16829819187973488,0.6320225490196079,0.18360122218276517],"dir":"rtl"},{"str":"M","boundary":[0.5813725490196078,0.16469833333333334,0.5989782352941175,0.18000136363636365],"dir":"ltr"},{"str":"نیز","boundary":[0.5596078431372549,0.16829819187973488,0.5763817647058823,0.18360122218276517],"dir":"rtl"},{"str":"متناهی","boundary":[0.5109803921568628,0.16829819187973488,0.5546584313725489,0.18360122218276517],"dir":"rtl"},{"str":"مول","boundary":[0.4889949019607843,0.16829819187973488,0.5059866666666667,0.18360122218276517],"dir":"rtl"},{"str":"است","boundary":[0.44686274509803914,0.16829819187973488,0.4748115686274509,0.18360122218276517],"dir":"rtl"},{"str":".","boundary":[0.4435294117647058,0.16244878787878791,0.446757450980392,0.1777518181818182],"dir":"ltr"},{"str":"M","boundary":[0.5135294117647058,0.19837060606060603,0.5299149019607843,0.21261303030303028],"dir":"ltr"},{"str":"بنا","boundary":[0.8705882352941178,0.2078436464251895,0.8846217647058825,0.2231466767282198],"dir":"rtl"},{"str":"به","boundary":[0.853921568627451,0.2078436464251895,0.8657937254901961,0.2231466767282198],"dir":"rtl"},{"str":"قضیهي","boundary":[0.8045098039215688,0.2078436464251895,0.8490909803921569,0.2231466767282198],"dir":"rtl"},{"str":"فوق","boundary":[0.7758823529411766,0.2078436464251895,0.7995282352941178,0.2231466767282198],"dir":"rtl"},{"str":"از","boundary":[0.7615686274509805,0.2078436464251895,0.770737843137255,0.2231466767282198],"dir":"rtl"},{"str":"اینکه","boundary":[0.7262745098039217,0.2078436464251895,0.7567545098039217,0.2231466767282198],"dir":"rtl"},{"str":"براي","boundary":[0.6947058823529413,0.2078436464251895,0.721217843137255,0.2231466767282198],"dir":"rtl"},{"str":"زیرم","boundary":[0.665269411764706,0.2078436464251895,0.6898760784313727,0.2231466767282198],"dir":"rtl"},{"str":"ول","boundary":[0.6386274509803923,0.2078436464251895,0.6558823529411766,0.2231466767282198],"dir":"rtl"},{"str":"N","boundary":[0.6190196078431374,0.20424378787878794,0.6333180392156864,0.21954681818181826],"dir":"ltr"},{"str":"از","boundary":[0.6049019607843139,0.2078436464251895,0.6137119607843139,0.2231466767282198],"dir":"rtl"},{"str":"M","boundary":[0.5819607843137257,0.20424378787878794,0.5993868627450982,0.21954681818181826],"dir":"ltr"},{"str":"نگاشت","boundary":[0.5354901960784315,0.2078436464251895,0.5772039215686275,0.2231466767282198],"dir":"rtl"},{"str":":Mφ→","boundary":[0.4435294117647059,0.20356515151515145,0.5396266666666667,0.21943121212121205],"dir":"ltr"},{"str":"-","boundary":[0.4109803921568627,0.20199424242424235,0.4518025490196078,0.21729727272727267],"dir":"ltr"},{"str":"R،","boundary":[0.4186274509803921,0.2042437878787878,0.47429843137254907,0.22314667672821964],"dir":"ltr"},{"str":"N","boundary":[0.5154901960784314,0.21427969696969695,0.5287976470588236,0.2285221212121212],"dir":"ltr"},{"str":"بروریختی","boundary":[0.3492156862745098,0.20784364642518935,0.4060158823529411,0.22314667672821964],"dir":"rtl"},{"str":"است","boundary":[0.3162745098039215,0.20784364642518935,0.34402725490196073,0.22314667672821964],"dir":"rtl"},{"str":"نتیجه","boundary":[0.2766666666666666,0.20784364642518935,0.3113382352941176,0.22314667672821964],"dir":"rtl"},{"str":"زیر","boundary":[0.2537254901960784,0.20784364642518935,0.2718615686274509,0.22314667672821964],"dir":"rtl"},{"str":"را","boundary":[0.23941176470588232,0.20784364642518935,0.24858098039215684,0.22314667672821964],"dir":"rtl"},{"str":":","boundary":[0.19999999999999998,0.20199424242424235,0.23662372549019606,0.21729727272727267],"dir":"ltr"},{"str":"داریم","boundary":[0.20333333333333334,0.20784364642518935,0.23484999999999998,0.22314667672821964],"dir":"rtl"},{"str":"M","boundary":[0.6894117647058824,0.2418554545454546,0.7057972549019608,0.2560978787878788],"dir":"ltr"},{"str":"M","boundary":[0.8241176470588235,0.24772863636363635,0.8417676470588235,0.26303166666666666],"dir":"ltr"},{"str":"(","boundary":[0.8695823529411765,0.24547909090909092,0.8751915686274511,0.26078212121212124],"dir":"ltr"},{"str":"1","boundary":[0.8752941176470588,0.24547909090909092,0.8848480392156861,0.26078212121212124],"dir":"ltr"},{"str":"اگر","boundary":[0.8470588235294118,0.2513284949100379,0.8647201960784313,0.2666315252130682],"dir":"rtl"},{"str":"متناهی","boundary":[0.7754901960784313,0.2513284949100379,0.8191682352941175,0.2666315252130682],"dir":"rtl"},{"str":"مول","boundary":[0.753504705882353,0.2513284949100379,0.7704964705882352,0.2666315252130682],"dir":"rtl"},{"str":"باش","boundary":[0.7209556862745098,0.2513284949100379,0.7393535294117647,0.2666315252130682],"dir":"rtl"},{"str":"N","boundary":[0.6913725490196079,0.2579160606060607,0.70468,0.2721584848484849],"dir":"ltr"},{"str":"نیز","boundary":[0.6631372549019608,0.2513284949100379,0.6799111764705883,0.2666315252130682],"dir":"rtl"},{"str":"متناهی","boundary":[0.6145098039215687,0.2513284949100379,0.6582084313725491,0.2666315252130682],"dir":"rtl"},{"str":"مول","boundary":[0.5925490196078432,0.2513284949100379,0.6095407843137255,0.2666315252130682],"dir":"rtl"},{"str":"است","boundary":[0.5503921568627451,0.2513284949100379,0.578340980392157,0.2666315252130682],"dir":"rtl"},{"str":".","boundary":[0.5470588235294118,0.24547909090909092,0.550286862745098,0.26078212121212124],"dir":"ltr"},{"str":"M","boundary":[0.8249019607843137,0.285340303030303,0.8412874509803921,0.2995827272727272],"dir":"ltr"},{"str":"(","boundary":[0.8695823529411766,0.2889639393939395,0.8751915686274512,0.30426696969696976],"dir":"ltr"},{"str":"2","boundary":[0.8752941176470589,0.2889639393939395,0.8848480392156863,0.30426696969696976],"dir":"ltr"},{"str":"اگر","boundary":[0.8470588235294119,0.29481334339488646,0.8647201960784315,0.3101163736979168],"dir":"rtl"},{"str":"N","boundary":[0.7968627450980392,0.2912134848484849,0.8111611764705882,0.30651651515151523],"dir":"ltr"},{"str":"،","boundary":[0.8164705882352942,0.29481334339488646,0.8205105882352942,0.3101163736979168],"dir":"ltr"},{"str":"مول","boundary":[0.7262498039215687,0.29481334339488646,0.743241568627451,0.3101163736979168],"dir":"rtl"},{"str":"باش","boundary":[0.6937007843137255,0.29481334339488646,0.7120986274509804,0.3101163736979168],"dir":"rtl"},{"str":"M","boundary":[0.6613725490196078,0.2912134848484849,0.6789782352941176,0.30651651515151523],"dir":"ltr"},{"str":"N","boundary":[0.8268627450980393,0.3014009090909091,0.8401701960784314,0.31564333333333333],"dir":"ltr"},{"str":"متناهی","boundary":[0.7482352941176471,0.29481334339488646,0.7919133333333334,0.3101163736979168],"dir":"rtl"},{"str":"نیز","boundary":[0.6396078431372549,0.29481334339488646,0.6563817647058824,0.3101163736979168],"dir":"rtl"},{"str":"متناهی","boundary":[0.5909803921568627,0.29481334339488646,0.634658431372549,0.3101163736979168],"dir":"rtl"},{"str":"مول","boundary":[0.5689949019607844,0.29481334339488646,0.5859866666666668,0.3101163736979168],"dir":"rtl"},{"str":"است","boundary":[0.5268627450980392,0.29481334339488646,0.554811568627451,0.3101163736979168],"dir":"rtl"},{"str":".","boundary":[0.5235294117647058,0.2889639393939395,0.5267574509803921,0.30426696969696976],"dir":"ltr"},{"str":"قضایاي","boundary":[0.8352941176470587,0.3411919241240531,0.8844339215686274,0.3564949544270834],"dir":"rtl"},{"str":"یکریختی","boundary":[0.7678431372549019,0.3411919241240531,0.8311631372549019,0.3564949544270834],"dir":"rtl"},{"str":"قضیه","boundary":[0.8488235294117645,0.3778585907907198,0.8844194117647057,0.39316162109375014],"dir":"rtl"},{"str":"اول","boundary":[0.8209803921568627,0.3778585907907198,0.8442733333333332,0.39316162109375014],"dir":"rtl"},{"str":"یکریختی","boundary":[0.7541176470588234,0.3778585907907198,0.8166343137254901,0.39316162109375014],"dir":"rtl"},{"str":":","boundary":[0.7501960784313725,0.37199424242424256,0.7557813725490196,0.3872972727272729],"dir":"ltr"},{"str":"فرض","boundary":[0.7141176470588233,0.3778436464251895,0.7448137254901959,0.3931466767282198],"dir":"rtl"},{"str":"کنی","boundary":[0.6893870588235292,0.3778436464251895,0.7089929411764704,0.3931466767282198],"dir":"rtl"},{"str":"N","boundary":[0.628627450980392,0.374243787878788,0.6429258823529409,0.3895468181818183],"dir":"ltr"},{"str":"،","boundary":[0.6480392156862743,0.3778436464251895,0.6520792156862742,0.3931466767282198],"dir":"ltr"},{"str":"M","boundary":[0.6570588235294115,0.374243787878788,0.6746645098039212,0.3895468181818183],"dir":"ltr"},{"str":"دو","boundary":[0.6096078431372547,0.3778436464251895,0.6237372549019605,0.3931466767282198],"dir":"rtl"},{"str":"-","boundary":[0.5837254901960782,0.37199424242424256,0.5912456862745095,0.3872972727272729],"dir":"ltr"},{"str":"R","boundary":[0.5913725490196076,0.374243787878788,0.6046754901960781,0.3895468181818183],"dir":"ltr"},{"str":"م","boundary":[0.57252431372549,0.3778436464251895,0.5789209803921566,0.3931466767282198],"dir":"rtl"},{"str":"ول","boundary":[0.5458823529411762,0.3778436464251895,0.5631372549019605,0.3931466767282198],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.4494117647058824,0.3729568181818182,0.5619217647058824,0.3893292424242424],"dir":"ltr"},{"str":"و","boundary":[0.5343137254901958,0.3778436464251895,0.5407843137254899,0.3931466767282198],"dir":"rtl"},{"str":"-","boundary":[0.4168627450980391,0.3719942424242424,0.4242892156862744,0.3872972727272727],"dir":"ltr"},{"str":"R","boundary":[0.42450980392156856,0.37424378787878787,0.4377190196078431,0.3895468181818182],"dir":"ltr"},{"str":"،","boundary":[0.44274509803921563,0.37784364642518936,0.4467850980392157,0.3931466767282197],"dir":"ltr"},{"str":"همریختی","boundary":[0.354313725490196,0.37784364642518936,0.41218627450980383,0.3931466767282197],"dir":"rtl"},{"str":"باش","boundary":[0.33115176470588226,0.37784364642518936,0.34954960784313716,0.3931466767282197],"dir":"rtl"},{"str":"،","boundary":[0.31764705882352934,0.37784364642518936,0.3217647058823529,0.3931466767282197],"dir":"ltr"},{"str":"در","boundary":[0.2988235294117646,0.37784364642518936,0.3126466666666666,0.3931466767282197],"dir":"rtl"},{"str":"این","boundary":[0.2741176470588234,0.37784364642518936,0.2940064705882352,0.3931466767282197],"dir":"rtl"},{"str":"صورت","boundary":[0.23078431372549008,0.37784364642518936,0.26870568627450964,0.3931466767282197],"dir":"rtl"},{"str":":","boundary":[0.22745098039215675,0.3719942424242424,0.23067901960784304,0.3872972727272727],"dir":"ltr"},{"str":";","boundary":[0.2247058823529412,0.4123521212121213,0.23482470588235296,0.4265945454545455],"dir":"ltr"},{"str":"Im","boundary":[0.2415686274509804,0.41609787878787885,0.26153529411764703,0.430340303030303],"dir":"ltr"},{"str":"φM","boundary":[0.1896078431372549,0.40927969696969696,0.8023376470588235,0.42871666666666663],"dir":"ltr"},{"str":"ker","boundary":[0.17941176470588235,0.4251887878787879,0.20285607843137254,0.4394312121212121],"dir":"ltr"},{"str":"φR","boundary":[0.20588235294117646,0.42356515151515156,0.8308592156862744,0.44204575757575754],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117648,0.46164646957859845,0.8844194117647058,0.47694949988162877],"dir":"rtl"},{"str":"دوم","boundary":[0.8186274509803921,0.46164646957859845,0.8440303921568628,0.47694949988162877],"dir":"rtl"},{"str":"یکریختی","boundary":[0.7515686274509804,0.46164646957859845,0.8142813725490196,0.47694949988162877],"dir":"rtl"},{"str":":","boundary":[0.7476470588235294,0.45578212121212125,0.7518737254901962,0.4710851515151515],"dir":"ltr"},{"str":"فرض","boundary":[0.7115686274509804,0.46163152521306816,0.7418819607843138,0.4769345555160985],"dir":"rtl"},{"str":"کنی","boundary":[0.6870341176470589,0.46163152521306816,0.7066400000000002,0.4769345555160985],"dir":"rtl"},{"str":"-","boundary":[0.6196078431372549,0.45578212121212125,0.6268429411764705,0.4710851515151515],"dir":"ltr"},{"str":"R","boundary":[0.6272549019607843,0.45803166666666667,0.6402727450980392,0.473334696969697],"dir":"ltr"},{"str":"،","boundary":[0.6454901960784314,0.46163152521306816,0.6493388235294119,0.4769345555160985],"dir":"ltr"},{"str":"M","boundary":[0.6545098039215687,0.45803166666666667,0.6719241176470588,0.473334696969697],"dir":"ltr"},{"str":"م","boundary":[0.6084066666666667,0.46163152521306816,0.6148033333333334,0.4769345555160985],"dir":"rtl"},{"str":"ول","boundary":[0.5817647058823529,0.46163152521306816,0.5990196078431372,0.4769345555160985],"dir":"rtl"},{"str":"و","boundary":[0.570392156862745,0.46163152521306816,0.5765776470588235,0.4769345555160985],"dir":"rtl"},{"str":"k","boundary":[0.5268627450980392,0.45803166666666667,0.5367647058823529,0.473334696969697],"dir":"ltr"},{"str":"،","boundary":[0.5417647058823529,0.46163152521306816,0.545804705882353,0.4769345555160985],"dir":"ltr"},{"str":"N","boundary":[0.5507843137254902,0.45803166666666667,0.5650827450980391,0.473334696969697],"dir":"ltr"},{"str":"زیرم","boundary":[0.497426274509804,0.46163152521306816,0.5220282352941177,0.4769345555160985],"dir":"rtl"},{"str":"ولهایی","boundary":[0.4411764705882353,0.46163152521306816,0.4880392156862745,0.4769345555160985],"dir":"rtl"},{"str":"از","boundary":[0.42686274509803923,0.46163152521306816,0.4360319607843137,0.4769345555160985],"dir":"rtl"},{"str":"آن","boundary":[0.406078431372549,0.46163152521306816,0.42211784313725487,0.4769345555160985],"dir":"rtl"},{"str":"باشن","boundary":[0.37683803921568626,0.46163152521306816,0.4013354901960784,0.4769345555160985],"dir":"rtl"},{"str":".","boundary":[0.36411764705882355,0.45578212121212125,0.367611568627451,0.4710851515151515],"dir":"ltr"},{"str":"در","boundary":[0.3452941176470588,0.46163152521306816,0.3591172549019608,0.4769345555160985],"dir":"rtl"},{"str":"این","boundary":[0.3205882352941176,0.46163152521306816,0.3404770588235294,0.4769345555160985],"dir":"rtl"},{"str":"صورت","boundary":[0.2772549019607843,0.46163152521306816,0.3151674509803921,0.4769345555160985],"dir":"rtl"},{"str":":","boundary":[0.273921568627451,0.45578212121212125,0.27726294117647055,0.4710851515151515],"dir":"ltr"},{"str":"+","boundary":[0.19686274509803922,0.4912916666666667,0.20708921568627453,0.5056856060606061],"dir":"ltr"},{"str":";","boundary":[0.22823529411764706,0.49611666666666665,0.23846176470588237,0.510510606060606],"dir":"ltr"},{"str":"NkN","boundary":[0.18,0.49293257575757576,0.32040980392156865,0.5073265151515152],"dir":"ltr"},{"str":"IkNKR","boundary":[0.19490196078431374,0.5053590909090909,0.3107843137254902,0.5260016666666667],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117645,0.5443737423058712,0.8844252941176469,0.5596767726089015],"dir":"rtl"},{"str":"سوم","boundary":[0.8137254901960783,0.5443737423058712,0.8441272549019607,0.5596767726089015],"dir":"rtl"},{"str":"یکریختی","boundary":[0.7464705882352941,0.5443737423058712,0.8093705882352941,0.5596767726089015],"dir":"rtl"},{"str":":","boundary":[0.7427450980392157,0.5385093939393939,0.7469717647058823,0.5538124242424243],"dir":"ltr"},{"str":"فرض","boundary":[0.7064705882352941,0.5443587979403409,0.7371666666666666,0.5596618282433712],"dir":"rtl"},{"str":"کنی","boundary":[0.6815690196078431,0.5443587979403409,0.7013498039215685,0.5596618282433712],"dir":"rtl"},{"str":"M","boundary":[0.6490196078431372,0.5407589393939394,0.6666252941176469,0.5560619696969696],"dir":"ltr"},{"str":"یک","boundary":[0.6227450980392156,0.5443587979403409,0.6437009803921567,0.5596618282433712],"dir":"rtl"},{"str":"-","boundary":[0.5966666666666666,0.5385093939393939,0.6039858823529412,0.5538124242424243],"dir":"ltr"},{"str":"R","boundary":[0.604313725490196,0.5407589393939394,0.6174156862745097,0.5560619696969696],"dir":"ltr"},{"str":"م","boundary":[0.5852694117647057,0.5443587979403409,0.5916660784313724,0.5596618282433712],"dir":"rtl"},{"str":"ول","boundary":[0.558627450980392,0.5443587979403409,0.5758823529411764,0.5596618282433712],"dir":"rtl"},{"str":"و","boundary":[0.5468627450980391,0.5443587979403409,0.5531323529411764,0.5596618282433712],"dir":"rtl"},{"str":"N","boundary":[0.5272549019607843,0.5407589393939394,0.5415533333333332,0.5560619696969696],"dir":"ltr"},{"str":"و","boundary":[0.5156862745098039,0.5443587979403409,0.5220631372549019,0.5596618282433712],"dir":"rtl"},{"str":"k","boundary":[0.5003921568627451,0.5407589393939394,0.5102941176470588,0.5560619696969696],"dir":"ltr"},{"str":"زیر","boundary":[0.4772549019607842,0.5443587979403409,0.4951901960784313,0.5596618282433712],"dir":"rtl"},{"str":"م","boundary":[0.46566156862745095,0.5443587979403409,0.4720582352941176,0.5596618282433712],"dir":"rtl"},{"str":"ولهایی","boundary":[0.4092156862745098,0.5443587979403409,0.4562745098039215,0.5596618282433712],"dir":"rtl"},{"str":"از","boundary":[0.3949019607843137,0.5443587979403409,0.40407117647058827,0.5596618282433712],"dir":"rtl"},{"str":"آن","boundary":[0.37392156862745096,0.5443587979403409,0.3896260784313726,0.5596618282433712],"dir":"rtl"},{"str":"باش","boundary":[0.3503674509803922,0.5443587979403409,0.3685692156862745,0.5596618282433712],"dir":"rtl"},{"str":"،","boundary":[0.33705882352941174,0.5443587979403409,0.34098039215686277,0.5596618282433712],"dir":"ltr"},{"str":"به","boundary":[0.3201960784313725,0.5443587979403409,0.33164274509803915,0.5596618282433712],"dir":"rtl"},{"str":"طوري","boundary":[0.2727450980392156,0.5443587979403409,0.31503490196078426,0.5596618282433712],"dir":"rtl"},{"str":"که","boundary":[0.24568627450980385,0.5443587979403409,0.2677003921568627,0.5596618282433712],"dir":"rtl"},{"str":"⊆","boundary":[0.21490196078431376,0.5379575757575757,0.228323137254902,0.5525030303030303],"dir":"ltr"},{"str":"Nk","boundary":[0.19745098039215686,0.5414339393939394,0.2630760784313726,0.5559793939393939],"dir":"ltr"},{"str":"در","boundary":[0.17490196078431375,0.5443587979403409,0.1887250980392157,0.5596618282433712],"dir":"rtl"},{"str":"M","boundary":[0.6892156862745098,0.5759463636363636,0.7056011764705883,0.5901887878787878],"dir":"ltr"},{"str":"k","boundary":[0.8052941176470588,0.5759463636363636,0.8145098039215686,0.5901887878787878],"dir":"ltr"},{"str":"این","boundary":[0.8650980392156864,0.5854194040009469,0.8845931372549021,0.6007224343039772],"dir":"rtl"},{"str":"صورت","boundary":[0.821764705882353,0.5854194040009469,0.8598496078431374,0.6007224343039772],"dir":"rtl"},{"str":"N","boundary":[0.8037254901960784,0.5918554545454545,0.8170329411764706,0.6060978787878788],"dir":"ltr"},{"str":"یک","boundary":[0.7725490196078432,0.5854194040009469,0.7935049019607843,0.6007224343039773],"dir":"rtl"},{"str":"زیر","boundary":[0.7494117647058823,0.5854194040009469,0.7677392156862746,0.6007224343039773],"dir":"rtl"},{"str":"م","boundary":[0.7380145098039216,0.5854194040009469,0.7444111764705883,0.6007224343039773],"dir":"rtl"},{"str":"ول","boundary":[0.7113725490196079,0.5854194040009469,0.7286274509803922,0.6007224343039773],"dir":"rtl"},{"str":"N","boundary":[0.6911764705882353,0.5918554545454545,0.7044839215686275,0.6060978787878788],"dir":"ltr"},{"str":"است","boundary":[0.6519607843137255,0.5854194040009469,0.6799096078431373,0.6007224343039773],"dir":"rtl"},{"str":"و","boundary":[0.6405882352941177,0.5854194040009469,0.6469650980392158,0.6007224343039773],"dir":"rtl"},{"str":"داریم","boundary":[0.6045098039215687,0.5854194040009469,0.6355578431372549,0.6007224343039773],"dir":"rtl"},{"str":":","boundary":[0.6011764705882353,0.57957,0.6044045098039216,0.5948730303030304],"dir":"ltr"},{"str":"M","boundary":[0.18098039215686276,0.619144696969697,0.8295707843137254,0.6335386363636363],"dir":"ltr"},{"str":"N","boundary":[0.18294117647058822,0.6349022727272727,0.19639019607843136,0.6492962121212121],"dir":"ltr"},{"str":";","boundary":[0.20529411764705882,0.6367227272727274,0.2155205882352941,0.6511166666666668],"dir":"ltr"},{"str":"M","boundary":[0.22156862745098038,0.6335386363636364,0.23812843137254902,0.6479325757575758],"dir":"ltr"},{"str":"kk","boundary":[0.18450980392156863,0.6497507575757575,0.2656862745098039,0.6641446969696969],"dir":"ltr"},{"str":"N","boundary":[0.18294117647058822,0.6653568181818181,0.19639019607843136,0.6797507575757575],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.6983131362452651,0.884813725490196,0.7136161665482955],"dir":"rtl"},{"str":"M","boundary":[0.8147058823529412,0.6946983333333334,0.83236,0.7100013636363637],"dir":"ltr"},{"str":":","boundary":[0.8380392156862745,0.6924487878787879,0.8422658823529412,0.7077518181818182],"dir":"ltr"},{"str":"یک","boundary":[0.7835294117647058,0.6982981918797349,0.8048774509803921,0.7136012221827652],"dir":"rtl"},{"str":"-","boundary":[0.7576470588235293,0.6924487878787879,0.7651623529411764,0.7077518181818182],"dir":"ltr"},{"str":"R","boundary":[0.7652941176470588,0.6946983333333334,0.778592156862745,0.7100013636363637],"dir":"ltr"},{"str":"م","boundary":[0.7464458823529412,0.6982981918797349,0.7528425490196079,0.7136012221827652],"dir":"rtl"},{"str":"ول","boundary":[0.7198039215686274,0.6982981918797349,0.7370588235294118,0.7136012221827652],"dir":"rtl"},{"str":"باش","boundary":[0.6966719607843137,0.6982981918797349,0.7150698039215686,0.7136012221827652],"dir":"rtl"},{"str":"،","boundary":[0.6831372549019608,0.6982981918797349,0.6872849019607843,0.7136012221827652],"dir":"ltr"},{"str":"تعریف","boundary":[0.6407843137254902,0.6982981918797349,0.6784029411764706,0.7136012221827652],"dir":"rtl"},{"str":"میکنیم","boundary":[0.5874509803921568,0.6982981918797349,0.635813137254902,0.7136012221827652],"dir":"rtl"},{"str":":","boundary":[0.5841176470588235,0.6924487878787879,0.5873456862745097,0.7077518181818182],"dir":"ltr"},{"str":"R","boundary":[0.21039215686274518,0.7379548484848485,0.22674156862745107,0.7497730303030303],"dir":"ltr"},{"str":"0AnnAnn(x){rR|m}","boundary":[0.17784313725490197,0.7308533333333332,0.4366643137254902,0.7462493939393938],"dir":"ltr"},{"str":"==∈=","boundary":[0.22745098039215683,0.7303833333333333,0.4367811764705882,0.7446257575757574],"dir":"ltr"},{"str":"I","boundary":[0.36745098039215685,0.7592630303030303,0.3824627450980392,0.7768387878787878],"dir":"ltr"},{"str":"==","boundary":[0.2507843137254902,0.7632628787878789,0.43862745098039213,0.777353787878788],"dir":"ltr"},{"str":"Ann(x)Ann(M)Ann(k)RRR","boundary":[0.17784313725490197,0.7648692424242424,0.5545098039215687,0.7823322727272728],"dir":"ltr"},{"str":"∈","boundary":[0.3666666666666667,0.7814568181818182,0.377431568627451,0.7931234848484849],"dir":"ltr"},{"str":"xM","boundary":[0.3592156862745098,0.7827868181818183,0.4007750980392156,0.7944534848484849],"dir":"ltr"},{"str":"φ→:RM","boundary":[0.7654901960784314,0.8067477272727273,0.8769894117647059,0.8224449999999999],"dir":"ltr"},{"str":"نکته","boundary":[0.8543137254901959,0.8210404089725379,0.8850690196078429,0.8363434392755683],"dir":"rtl"},{"str":":","boundary":[0.8505882352941175,0.8151760606060606,0.8548149019607842,0.830479090909091],"dir":"ltr"},{"str":"یک","boundary":[0.7368627450980393,0.8210254646070076,0.7582107843137256,0.836328494910038],"dir":"rtl"},{"str":"-","boundary":[0.7109803921568627,0.8151760606060606,0.7184956862745098,0.830479090909091],"dir":"ltr"},{"str":"R","boundary":[0.7186274509803922,0.8174256060606062,0.7319254901960784,0.8327286363636365],"dir":"ltr"},{"str":"باش","boundary":[0.6248772549019609,0.8210254646070076,0.6430790196078432,0.836328494910038],"dir":"rtl"},{"str":"R","boundary":[0.5374509803921569,0.8115524242424242,0.5497447058823529,0.8257948484848484],"dir":"ltr"},{"str":";","boundary":[0.5776470588235294,0.8146248484848486,0.5877658823529411,0.8288672727272728],"dir":"ltr"},{"str":"M","boundary":[0.5923529411764705,0.8183706060606061,0.608738431372549,0.8326130303030304],"dir":"ltr"},{"str":".","boundary":[0.6121568627450981,0.8151760606060606,0.6154737254901961,0.830479090909091],"dir":"ltr"},{"str":"همریختی","boundary":[0.6484313725490196,0.8210254646070076,0.7063039215686275,0.836328494910038],"dir":"rtl"},{"str":".","boundary":[0.5086274509803921,0.8151760606060606,0.5118554901960783,0.830479090909091],"dir":"ltr"},{"str":"Ann(x)","boundary":[0.5162745098039215,0.8274615151515151,0.5726082352941176,0.8417039393939394],"dir":"ltr"},{"str":"→","boundary":[0.7994117647058824,0.8281113636363637,0.8174100000000001,0.8422022727272728],"dir":"ltr"},{"str":"rrx","boundary":[0.7870588235294118,0.8297177272727273,0.8385233333333334,0.8438086363636363],"dir":"ltr"}],"boundary":[0.1749,0.06988,0.89091,0.84381],"dir":"ltr","type":"paragraph"},{"words":[{"str":"7","boundary":[0.19941176470588237,0.934610303030303,0.20956745098039214,0.9488527272727273],"dir":"ltr"}],"boundary":[0.19941,0.93461,0.20957,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":7,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/73f5ad30c754a5c9cb1fc841ef6ef603.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/9894a749fc84fc7ac2d3e706c3fcd642.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.10902,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"قضیه","boundary":[0.7923529411764706,0.10104040897253778,0.8280692156862746,0.1163434392755681],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.0951760606060605,0.7923921568627451,0.1104790909090908],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764707,0.10102546460700748,0.7830490196078432,0.11632849491003779],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235295,0.10102546460700748,0.7476027450980393,0.11632849491003779],"dir":"rtl"},{"str":"M","boundary":[0.6954901960784314,0.09742560606060596,0.7130958823529412,0.11272863636363628],"dir":"ltr"},{"str":"و","boundary":[0.6841176470588236,0.10102546460700748,0.6904945098039217,0.11632849491003779],"dir":"rtl"},{"str":"N","boundary":[0.6645098039215688,0.09742560606060596,0.6788082352941177,0.11272863636363628],"dir":"ltr"},{"str":"دو","boundary":[0.6454901960784315,0.10102546460700748,0.6596196078431373,0.11632849491003779],"dir":"rtl"},{"str":"-","boundary":[0.6196078431372549,0.0951760606060605,0.6271280392156863,0.1104790909090908],"dir":"ltr"},{"str":"R","boundary":[0.6272549019607844,0.09742560606060596,0.640557843137255,0.11272863636363628],"dir":"ltr"},{"str":"م","boundary":[0.6084066666666667,0.10102546460700748,0.6148033333333334,0.11632849491003779],"dir":"rtl"},{"str":"ول","boundary":[0.581764705882353,0.10102546460700748,0.5990196078431373,0.11632849491003779],"dir":"rtl"},{"str":"باشن","boundary":[0.5525243137254903,0.10102546460700748,0.5770217647058824,0.11632849491003779],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.4466666666666667,0.0961386363636364,0.5591766666666667,0.11251106060606064],"dir":"ltr"},{"str":"و","boundary":[0.5315686274509804,0.10102546460700748,0.5380392156862746,0.11632849491003779],"dir":"rtl"},{"str":"یک","boundary":[0.41784313725490196,0.10102546460700762,0.43919117647058825,0.11632849491003792],"dir":"rtl"},{"str":"-","boundary":[0.3919607843137255,0.09517606060606064,0.3994760784313725,0.11047909090909096],"dir":"ltr"},{"str":"R","boundary":[0.3996078431372549,0.09742560606060612,0.4129058823529412,0.11272863636363642],"dir":"ltr"},{"str":"بروریختی","boundary":[0.3301960784313726,0.10102546460700762,0.386996274509804,0.11632849491003792],"dir":"rtl"},{"str":"باش","boundary":[0.3068627450980393,0.10102546460700762,0.3254566666666667,0.11632849491003792],"dir":"rtl"},{"str":"،","boundary":[0.2935294117647059,0.10102546460700762,0.2976470588235295,0.11632849491003792],"dir":"ltr"},{"str":"در","boundary":[0.27470588235294124,0.10102546460700762,0.28852901960784316,0.11632849491003792],"dir":"rtl"},{"str":"این","boundary":[0.25000000000000006,0.10102546460700762,0.26988882352941185,0.11632849491003792],"dir":"rtl"},{"str":"صورت","boundary":[0.2066666666666667,0.10102546460700762,0.24458803921568628,0.11632849491003792],"dir":"rtl"},{"str":"یک","boundary":[0.1805882352941177,0.10102546460700762,0.20154411764705887,0.11632849491003792],"dir":"rtl"},{"str":"تناظر","boundary":[0.1374509803921569,0.10102546460700762,0.17576843137254905,0.11632849491003792],"dir":"rtl"},{"str":"دو","boundary":[0.11843137254901964,0.10102546460700762,0.1325607843137255,0.11632849491003792],"dir":"rtl"},{"str":"سویی","boundary":[0.7939215686274511,0.1366315252130683,0.8280798039215688,0.15193455551609858],"dir":"rtl"},{"str":"میان","boundary":[0.7605882352941178,0.1366315252130683,0.788799411764706,0.15193455551609858],"dir":"rtl"},{"str":"زیرم","boundary":[0.73095568627451,0.1366315252130683,0.7553615686274512,0.15193455551609858],"dir":"rtl"},{"str":"ولهاي","boundary":[0.6786274509803922,0.1366315252130683,0.7215686274509805,0.15193455551609858],"dir":"rtl"},{"str":"M","boundary":[0.6558823529411765,0.13303166666666677,0.6737558823529413,0.1483346969696971],"dir":"ltr"},{"str":"شامل","boundary":[0.617450980392157,0.1366315252130683,0.6511170588235294,0.15193455551609858],"dir":"rtl"},{"str":"ker","boundary":[0.5778431372549019,0.13342015151515146,0.6006339215686275,0.14811712121212117],"dir":"ltr"},{"str":"φ","boundary":[0.6037254901960785,0.13174469696969693,0.6151943137254902,0.1464416666666666],"dir":"ltr"},{"str":"و","boundary":[0.563529411764706,0.13663152521306815,0.5700196078431373,0.15193455551609844],"dir":"rtl"},{"str":"زیر","boundary":[0.5403921568627451,0.13663152521306815,0.5587196078431373,0.15193455551609844],"dir":"rtl"},{"str":"م","boundary":[0.5289949019607842,0.13663152521306815,0.535391568627451,0.15193455551609844],"dir":"rtl"},{"str":"ولهاي","boundary":[0.47666666666666674,0.13663152521306815,0.5196078431372549,0.15193455551609844],"dir":"rtl"},{"str":"N","boundary":[0.4572549019607844,0.13303166666666663,0.4716250980392157,0.14833469696969695],"dir":"ltr"},{"str":"وجود","boundary":[0.4207843137254902,0.13663152521306815,0.45180196078431367,0.15193455551609844],"dir":"rtl"},{"str":"دارد","boundary":[0.3915686274509804,0.13663152521306815,0.41575392156862745,0.15193455551609844],"dir":"rtl"},{"str":".","boundary":[0.3882352941176471,0.13078212121212116,0.3915350980392157,0.14608515151515147],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196077,0.17210101503314396,0.8279582352941176,0.18740404533617427],"dir":"rtl"},{"str":":","boundary":[0.7813725490196078,0.1662366666666667,0.785403137254902,0.181539696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.7452941176470589,0.17208607066761367,0.7756074509803922,0.18738910097064398],"dir":"rtl"},{"str":"کنی","boundary":[0.7205635294117647,0.17208607066761367,0.740169411764706,0.18738910097064398],"dir":"rtl"},{"str":"KR(n)M,,M02","boundary":[0.5645098039215687,0.16568545454545455,0.7079572549019608,0.18624000000000004],"dir":"ltr"},{"str":"−≥","boundary":[0.5537254901960784,0.16780757575757577,0.6435294117647058,0.18205000000000002],"dir":"ltr"},{"str":"n","boundary":[0.644313725490196,0.1753790909090909,0.6517694117647059,0.18719727272727274],"dir":"ltr"},{"str":"م","boundary":[0.5393870588235293,0.17208607066761367,0.545783725490196,0.18738910097064398],"dir":"rtl"},{"str":"ولهایی","boundary":[0.4831372549019607,0.17208607066761367,0.5299999999999999,0.18738910097064398],"dir":"rtl"},{"str":"دلخواه","boundary":[0.43999999999999995,0.17208607066761367,0.47815882352941175,0.18738910097064398],"dir":"rtl"},{"str":"باشن","boundary":[0.4107596078431372,0.17208607066761367,0.43525705882352933,0.18738910097064398],"dir":"rtl"},{"str":"دنبالهي","boundary":[0.35019607843137246,0.17208607066761367,0.39652980392156856,0.18738910097064398],"dir":"rtl"},{"str":":","boundary":[0.3468627450980391,0.1662366666666667,0.35016254901960775,0.181539696969697],"dir":"ltr"},{"str":"φφφ12nMMMM→→→012n","boundary":[0.3380392156862745,0.2029704545454545,0.6670588235294118,0.22842590909090904],"dir":"ltr"},{"str":"را","boundary":[0.8190196078431373,0.24405576763731063,0.8281888235294118,0.25935879794034095],"dir":"rtl"},{"str":"دقیق","boundary":[0.7829411764705883,0.24405576763731063,0.814124705882353,0.25935879794034095],"dir":"rtl"},{"str":"نامن","boundary":[0.7572301960784315,0.24405576763731063,0.7778103921568628,0.25935879794034095],"dir":"rtl"},{"str":".","boundary":[0.7445098039215686,0.23820636363636366,0.7478076470588235,0.253509393939394],"dir":"ltr"},{"str":"ii","boundary":[0.6241176470588234,0.24734878787878786,0.7723529411764705,0.25916696969696973],"dir":"ltr"},{"str":"هرگاه","boundary":[0.7058823529411765,0.24405576763731063,0.7392354901960785,0.25935879794034095],"dir":"rtl"},{"str":".","boundary":[0.5849019607843137,0.23820636363636366,0.5881299999999999,0.253509393939394],"dir":"ltr"},{"str":"−","boundary":[0.6294117647058823,0.24600151515151517,0.6378082352941177,0.257819696969697],"dir":"ltr"},{"str":"1ImLmφ=φ","boundary":[0.5909803921568627,0.23977727272727276,0.7276619607843137,0.25820969696969703],"dir":"ltr"},{"str":"φψ00","boundary":[0.47294117647058825,0.2734257575757576,0.8909803921568628,0.2929745454545455],"dir":"ltr"},{"str":"نکته","boundary":[0.797843137254902,0.2824040453361743,0.8284023529411765,0.29770707563920457],"dir":"rtl"},{"str":":","boundary":[0.793921568627451,0.276539696969697,0.7979521568627451,0.2918427272727273],"dir":"ltr"},{"str":"دنباله","boundary":[0.7490196078431373,0.28238910097064396,0.7882945098039216,0.2976921312736743],"dir":"rtl"},{"str":"ي","boundary":[0.7352941176470588,0.28238910097064396,0.7479356862745098,0.2976921312736743],"dir":"rtl"},{"str":"کوتاه","boundary":[0.6937254901960783,0.28238910097064396,0.7293954901960783,0.2976921312736743],"dir":"rtl"},{"str":"→→→→MNk","boundary":[0.48666666666666664,0.27826212121212124,0.7070847058823528,0.29412818181818184],"dir":"ltr"},{"str":"دقیق","boundary":[0.42960784313725514,0.28238910097064396,0.46686980392156885,0.2976921312736743],"dir":"rtl"},{"str":"است","boundary":[0.3898039215686276,0.28238910097064396,0.4236350980392159,0.2976921312736743],"dir":"rtl"},{"str":"اگر","boundary":[0.36058823529411776,0.28238910097064396,0.38412725490196087,0.2976921312736743],"dir":"rtl"},{"str":"و","boundary":[0.3486274509803922,0.28238910097064396,0.35478117647058827,0.2976921312736743],"dir":"rtl"},{"str":"فقط","boundary":[0.31156862745098046,0.28238910097064396,0.3426529411764706,0.2976921312736743],"dir":"rtl"},{"str":"اگر","boundary":[0.2823529411764706,0.28238910097064396,0.30609274509803924,0.2976921312736743],"dir":"rtl"},{"str":"φ","boundary":[0.2684313725490196,0.27887045454545456,0.27919078431372546,0.29265833333333335],"dir":"ltr"},{"str":"یکبهیک","boundary":[0.18705882352941172,0.28238910097064396,0.26055490196078424,0.2976921312736743],"dir":"rtl"},{"str":"ψ","boundary":[0.17137254901960783,0.27887045454545456,0.18361294117647056,0.29265833333333335],"dir":"ltr"},{"str":"پوشا","boundary":[0.1303921568627451,0.28238910097064396,0.16322901960784314,0.2976921312736743],"dir":"rtl"},{"str":"و","boundary":[0.11843137254901961,0.28238910097064396,0.12480823529411766,0.2976921312736743],"dir":"rtl"},{"str":"ImLmφ=ψ","boundary":[0.7364705882352942,0.31189621212121216,0.8543703921568627,0.3282686363636364],"dir":"ltr"},{"str":"قضیه","boundary":[0.7921568627450981,0.34755556048768943,0.828094705882353,0.36285859079071975],"dir":"rtl"},{"str":":(","boundary":[0.6786274509803921,0.3416912121212122,0.6886198039215686,0.3569942424242425],"dir":"ltr"},{"str":"five","boundary":[0.6888235294117647,0.3439407575757576,0.7197886274509804,0.3592437878787879],"dir":"ltr"},{"str":"lemma","boundary":[0.7248866666666667,0.3439407575757576,0.7813986274509804,0.3592437878787879],"dir":"ltr"},{"str":")","boundary":[0.7817647058823529,0.3416912121212122,0.7876470588235295,0.3569942424242425],"dir":"ltr"},{"str":"MNk","boundary":[0.15647058823529414,0.37837060606060613,0.28551607843137256,0.3926130303030303],"dir":"ltr"},{"str":"→→→→","boundary":[0.13254901960784315,0.3767469696969697,0.30176470588235293,0.3909893939393939],"dir":"ltr"},{"str":"00","boundary":[0.1188235294117647,0.3772169696969697,0.4486274509803921,0.39145939393939394],"dir":"ltr"},{"str":"α↓β↓↓γ","boundary":[0.15196078431372548,0.3999287878787879,0.2688141176470588,0.4141712121212121],"dir":"ltr"},{"str":"MNk","boundary":[0.15647058823529414,0.42306757575757575,0.2978690196078431,0.43731],"dir":"ltr"},{"str":"′′′→→→→","boundary":[0.13254901960784315,0.4205348484848484,0.317843137254902,0.4356863636363636],"dir":"ltr"},{"str":"00","boundary":[0.1188235294117647,0.4219139393939394,0.47294117647058825,0.4361563636363636],"dir":"ltr"},{"str":"اگر","boundary":[0.8105882352941177,0.4578436464251894,0.8282496078431373,0.4731466767282197],"dir":"rtl"},{"str":"نمودار","boundary":[0.7690196078431373,0.4578436464251894,0.8051711764705882,0.4731466767282197],"dir":"rtl"},{"str":"فوق","boundary":[0.7401960784313727,0.4578436464251894,0.7636821568627451,0.4731466767282197],"dir":"rtl"},{"str":"با","boundary":[0.7272549019607844,0.4578436464251894,0.7352566666666668,0.4731466767282197],"dir":"rtl"},{"str":"سطرهاي","boundary":[0.6686274509803921,0.4578436464251894,0.7223039215686274,0.4731466767282197],"dir":"rtl"},{"str":"دقیق","boundary":[0.6325490196078432,0.4578436464251894,0.6637113725490197,0.4731466767282197],"dir":"rtl"},{"str":"جابجایی","boundary":[0.5770588235294118,0.4578436464251894,0.6275966666666667,0.4731466767282197],"dir":"rtl"},{"str":"باش","boundary":[0.5537007843137255,0.4578436464251894,0.5719025490196079,0.4731466767282197],"dir":"rtl"},{"str":"،","boundary":[0.5403921568627451,0.4578436464251894,0.5443137254901961,0.4731466767282197],"dir":"ltr"},{"str":"گزارههاي","boundary":[0.4794117647058824,0.4578436464251894,0.535363137254902,0.4731466767282197],"dir":"rtl"},{"str":"زیر","boundary":[0.45647058823529413,0.4578436464251894,0.47460666666666673,0.4731466767282197],"dir":"rtl"},{"str":"برقرارن","boundary":[0.41566156862745096,0.4578436464251894,0.4513827450980392,0.4731466767282197],"dir":"rtl"},{"str":".","boundary":[0.40294117647058825,0.45199424242424247,0.40628117647058826,0.46729727272727273],"dir":"ltr"},{"str":"(i","boundary":[0.8160784313725491,0.4884862121212121,0.828322549019608,0.5037892424242424],"dir":"ltr"},{"str":"اگر","boundary":[0.7933333333333334,0.4920860706676136,0.8107939215686275,0.5073891009706439],"dir":"rtl"},{"str":"α","boundary":[0.779607843137255,0.4884159090909091,0.790866862745098,0.5022037878787879],"dir":"ltr"},{"str":"و","boundary":[0.765686274509804,0.4920860706676136,0.772063137254902,0.5073891009706439],"dir":"rtl"},{"str":"γ","boundary":[0.7550980392156863,0.4884151515151516,0.7625121568627451,0.5023545454545455],"dir":"ltr"},{"str":"یکبهیک","boundary":[0.6929411764705883,0.4920860706676136,0.7470343137254902,0.5073891009706439],"dir":"rtl"},{"str":"باش","boundary":[0.669583137254902,0.4920860706676136,0.6881770588235295,0.5073891009706439],"dir":"rtl"},{"str":"β","boundary":[0.6419607843137255,0.48719924242424245,0.6524025490196078,0.5018962121212122],"dir":"ltr"},{"str":"،","boundary":[0.6562745098039217,0.4920860706676136,0.6601960784313726,0.5073891009706439],"dir":"ltr"},{"str":"نیز","boundary":[0.618235294117647,0.4920860706676136,0.6350092156862744,0.5073891009706439],"dir":"rtl"},{"str":"یکبهیک","boundary":[0.5592156862745098,0.4920860706676136,0.6131127450980391,0.5073891009706439],"dir":"rtl"},{"str":"است","boundary":[0.5264705882352941,0.4920860706676136,0.5544194117647058,0.5073891009706439],"dir":"rtl"},{"str":".","boundary":[0.5231372549019607,0.4862366666666667,0.5265780392156861,0.501539696969697],"dir":"ltr"},{"str":"(","boundary":[0.8113470588235294,0.5206306060606061,0.8169562745098039,0.5359336363636364],"dir":"ltr"},{"str":"ii","boundary":[0.8170588235294117,0.5228801515151515,0.8284313725490196,0.5381831818181818],"dir":"ltr"},{"str":"اگر","boundary":[0.7888235294117647,0.526480010061553,0.8064849019607843,0.5417830403645834],"dir":"rtl"},{"str":"α","boundary":[0.7749019607843137,0.523114393939394,0.7859135294117647,0.5365992424242424],"dir":"ltr"},{"str":"و","boundary":[0.7611764705882353,0.526480010061553,0.7675533333333334,0.5417830403645834],"dir":"rtl"},{"str":"γ","boundary":[0.7503921568627451,0.5228098484848485,0.7577256862745098,0.5365977272727273],"dir":"ltr"},{"str":"پوشا","boundary":[0.7154901960784313,0.526480010061553,0.7421274509803922,0.5417830403645834],"dir":"rtl"},{"str":"باش","boundary":[0.6923282352941177,0.526480010061553,0.71053,0.5417830403645834],"dir":"rtl"},{"str":"β","boundary":[0.6647058823529411,0.5215931818181818,0.6751476470588236,0.5362901515151516],"dir":"ltr"},{"str":"،","boundary":[0.6788235294117647,0.526480010061553,0.6829411764705882,0.5417830403645834],"dir":"ltr"},{"str":"نیز","boundary":[0.6409803921568628,0.526480010061553,0.6575629411764706,0.5417830403645834],"dir":"rtl"},{"str":"پوشا","boundary":[0.6092156862745098,0.526480010061553,0.636,0.5417830403645834],"dir":"rtl"},{"str":"است","boundary":[0.5764705882352942,0.526480010061553,0.6044194117647058,0.5417830403645834],"dir":"rtl"},{"str":".","boundary":[0.5731372549019608,0.5206306060606061,0.576365294117647,0.5359336363636364],"dir":"ltr"},{"str":"(","boundary":[0.8058568627450982,0.5547215151515151,0.8114660784313728,0.5700245454545455],"dir":"ltr"},{"str":"iii","boundary":[0.8115686274509805,0.5569710606060606,0.8284466666666668,0.5722740909090909],"dir":"ltr"},{"str":"اگر","boundary":[0.783137254901961,0.5605709191524622,0.8009900000000002,0.5758739494554924],"dir":"rtl"},{"str":"α","boundary":[0.7694117647058824,0.5569007575757576,0.7806707843137255,0.5706886363636364],"dir":"ltr"},{"str":"و","boundary":[0.7554901960784314,0.5605709191524622,0.7618670588235295,0.5758739494554924],"dir":"rtl"},{"str":"γ","boundary":[0.7449019607843137,0.5569000000000001,0.7523160784313725,0.570839393939394],"dir":"ltr"},{"str":"یکریختی","boundary":[0.6825490196078431,0.5605709191524622,0.7368823529411764,0.5758739494554924],"dir":"rtl"},{"str":"باش","boundary":[0.6593870588235293,0.5605709191524622,0.6777849019607842,0.5758739494554924],"dir":"rtl"},{"str":"β","boundary":[0.6317647058823529,0.555684090909091,0.6422064705882352,0.5703810606060606],"dir":"ltr"},{"str":"،","boundary":[0.6458823529411765,0.5605709191524622,0.6499999999999999,0.5758739494554924],"dir":"ltr"},{"str":"نیز","boundary":[0.6080392156862746,0.5605709191524622,0.6246217647058825,0.5758739494554924],"dir":"rtl"},{"str":"یکریختی","boundary":[0.5488235294117648,0.5605709191524622,0.603386274509804,0.5758739494554924],"dir":"rtl"},{"str":"است","boundary":[0.5158823529411766,0.5605709191524622,0.5436350980392157,0.5758739494554924],"dir":"rtl"},{"str":".","boundary":[0.5127450980392158,0.5547215151515151,0.5159731372549019,0.5700245454545455],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.6031616210937499,0.8279582352941176,0.6184646513967803],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.5972972727272727,0.7854031372549021,0.612600303030303],"dir":"ltr"},{"str":"دو","boundary":[0.7619607843137256,0.6031466767282196,0.7760901960784314,0.61844970703125],"dir":"rtl"},{"str":"دنبالهي","boundary":[0.7109803921568628,0.6031466767282196,0.7569219607843137,0.61844970703125],"dir":"rtl"},{"str":"دقیق","boundary":[0.6749019607843139,0.6031466767282196,0.7060854901960786,0.61844970703125],"dir":"rtl"},{"str":"کوتاه","boundary":[0.6400000000000001,0.6031466767282196,0.669970980392157,0.61844970703125],"dir":"rtl"},{"str":"ψ→→→→nφ00MNk","boundary":[0.1188235294117647,0.633728787878788,0.7100698039215687,0.6551887878787878],"dir":"ltr"},{"str":"α↓β↓↓γ","boundary":[0.1729411764705883,0.6623530303030304,0.3454807843137256,0.6765954545454546],"dir":"ltr"},{"str":"′′′′′","boundary":[0.1994117647058824,0.6835772727272728,0.41294117647058826,0.7025045454545454],"dir":"ltr"},{"str":"φψ00→→→→MNk","boundary":[0.1188235294117647,0.6841833333333334,0.6815686274509803,0.7048857575757576],"dir":"ltr"},{"str":"یکریختن","boundary":[0.7801713725490197,0.7258739494554926,0.8282466666666667,0.7411769797585228],"dir":"rtl"},{"str":"هرگاه","boundary":[0.7319607843137256,0.7258739494554926,0.7656784313725491,0.7411769797585228],"dir":"rtl"},{"str":"-","boundary":[0.706078431372549,0.7200245454545455,0.7136166666666667,0.7353275757575758],"dir":"ltr"},{"str":"R","boundary":[0.7137254901960784,0.722274090909091,0.7270464705882353,0.7375771212121213],"dir":"ltr"},{"str":"همریختیهاي","boundary":[0.6178431372549019,0.7258739494554926,0.7014305882352941,0.7411769797585228],"dir":"rtl"},{"str":"β","boundary":[0.5833333333333334,0.7209871212121212,0.5937750980392157,0.7356840909090909],"dir":"ltr"},{"str":"،","boundary":[0.5976470588235294,0.7258739494554926,0.6016870588235295,0.7411769797585228],"dir":"ltr"},{"str":"α","boundary":[0.6041176470588235,0.7225083333333334,0.6151292156862745,0.7359931818181819],"dir":"ltr"},{"str":"و","boundary":[0.5698039215686275,0.7258739494554926,0.5761807843137255,0.7411769797585228],"dir":"rtl"},{"str":"γ","boundary":[0.5592156862745098,0.7222037878787879,0.5665492156862745,0.7359916666666666],"dir":"ltr"},{"str":"موجود","boundary":[0.5123529411764706,0.7258739494554926,0.5507103921568628,0.7411769797585228],"dir":"rtl"},{"str":"باشن","boundary":[0.4827203921568628,0.7258739494554926,0.5070217647058823,0.7411769797585228],"dir":"rtl"},{"str":"که","boundary":[0.45274509803921564,0.7258739494554926,0.4683703921568627,0.7411769797585228],"dir":"rtl"},{"str":"نمودار","boundary":[0.41137254901960785,0.7258739494554926,0.4476956862745098,0.7411769797585228],"dir":"rtl"},{"str":"فوق","boundary":[0.38274509803921564,0.7258739494554926,0.4063909803921568,0.7411769797585228],"dir":"rtl"},{"str":"ایجاد","boundary":[0.34705882352941175,0.7258739494554926,0.37752019607843135,0.7411769797585228],"dir":"rtl"},{"str":"شود","boundary":[0.312156862745098,0.7258739494554926,0.3370947058823529,0.7411769797585228],"dir":"rtl"},{"str":".","boundary":[0.3088235294117647,0.7200245454545455,0.31188000000000005,0.7353275757575758],"dir":"ltr"},{"str":"تعری","boundary":[0.782729607843137,0.7684646513967803,0.8280043137254901,0.7837676816998106],"dir":"rtl"},{"str":":","boundary":[0.762549019607843,0.762600303030303,0.7665098039215685,0.7779033333333333],"dir":"ltr"},{"str":"فرض","boundary":[0.7141176470588235,0.7684497070312499,0.7574603921568627,0.7837527373342803],"dir":"rtl"},{"str":"کنی","boundary":[0.6766419607843137,0.7684497070312499,0.7091890196078431,0.7837527373342803],"dir":"rtl"},{"str":"{M}","boundary":[0.6072549019607842,0.7657948484848485,0.6520694117647058,0.7800372727272726],"dir":"ltr"},{"str":"∈","boundary":[0.6488235294117647,0.7703954545454545,0.6597282352941176,0.7822136363636364],"dir":"ltr"},{"str":"iiI","boundary":[0.6323529411764706,0.7717427272727273,0.6737823529411765,0.7835609090909091],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.5305882352941176,0.7684497070312499,0.6014562745098039,0.7837527373342803],"dir":"rtl"},{"str":"از","boundary":[0.5162745098039215,0.7684497070312499,0.525443725490196,0.7837527373342803],"dir":"rtl"},{"str":"-","boundary":[0.490392156862745,0.762600303030303,0.497750588235294,0.7779033333333333],"dir":"ltr"},{"str":"R","boundary":[0.49803921568627446,0.7648498484848485,0.5111803921568626,0.7801528787878788],"dir":"ltr"},{"str":"م","boundary":[0.46664196078431375,0.7684497070312499,0.48568529411764705,0.7837527373342803],"dir":"rtl"},{"str":"ولها","boundary":[0.414313725490196,0.7684497070312499,0.4572549019607843,0.7837527373342803],"dir":"rtl"},{"str":"باش","boundary":[0.3784066666666666,0.7684497070312499,0.40935352941176467,0.7837527373342803],"dir":"rtl"},{"str":"حاصل","boundary":[0.31313725490196076,0.7684497070312499,0.36422999999999994,0.7837527373342803],"dir":"rtl"},{"str":"ضرب","boundary":[0.26352941176470585,0.7684497070312499,0.30819352941176464,0.7837527373342803],"dir":"rtl"},{"str":"این","boundary":[0.22607843137254896,0.7684497070312499,0.25830215686274505,0.7837527373342803],"dir":"rtl"},{"str":"خانواده","boundary":[0.16607843137254896,0.7684497070312499,0.22127862745098034,0.7837527373342803],"dir":"rtl"},{"str":"یعنی","boundary":[0.11843137254901955,0.7684497070312499,0.16100058823529403,0.7837527373342803],"dir":"rtl"},{"str":"∏","boundary":[0.579607843137255,0.7990030303030302,0.5983270588235294,0.8165787878787878],"dir":"ltr"},{"str":"iiii","boundary":[0.6178431372549019,0.8076353030303031,0.786078431372549,0.8193019696969697],"dir":"ltr"},{"str":"=∈∀∈","boundary":[0.6282352941176471,0.8002325757575758,0.8219607843137255,0.8143234848484848],"dir":"ltr"},{"str":"M{(m))mMiI}","boundary":[0.6011764705882353,0.8018389393939394,0.8246413725490196,0.8159298484848484],"dir":"ltr"},{"str":"همراه","boundary":[0.5386274509803921,0.8042072827888258,0.5719343137254902,0.8195103130918561],"dir":"rtl"},{"str":"با","boundary":[0.5254901960784313,0.8042072827888258,0.5338880392156862,0.8195103130918561],"dir":"rtl"},{"str":"جمع","boundary":[0.4913725490196078,0.8042072827888258,0.5206576470588234,0.8195103130918561],"dir":"rtl"},{"str":"و","boundary":[0.48,0.8042072827888258,0.48618549019607843,0.8195103130918561],"dir":"rtl"},{"str":"ضرب","boundary":[0.4429411764705882,0.8042072827888258,0.4745743137254902,0.8195103130918561],"dir":"rtl"},{"str":"اسکالر","boundary":[0.40098039215686276,0.8042072827888258,0.438128431372549,0.8195103130918561],"dir":"rtl"},{"str":":","boundary":[0.3976470588235294,0.7983578787878788,0.4008750980392157,0.8136609090909092],"dir":"ltr"},{"str":"∈","boundary":[0.5831372549019608,0.818275,0.5939021568627451,0.8299416666666667],"dir":"ltr"},{"str":"iI","boundary":[0.5794117647058824,0.819605,0.6080852941176471,0.8312716666666666],"dir":"ltr"},{"str":"+=+","boundary":[0.15352941176470586,0.8458378787878787,0.2807843137254902,0.860080303030303],"dir":"ltr"},{"str":"(x)(y)(xy)iiii","boundary":[0.12098039215686275,0.8474615151515151,0.2968627450980392,0.8652275757575758],"dir":"ltr"},{"str":"=","boundary":[0.16137254901960785,0.8802318181818182,0.1714913725490196,0.8944742424242423],"dir":"ltr"},{"str":"r(x)(rx)ii","boundary":[0.12117647058823529,0.8818554545454546,0.25098039215686274,0.8996215151515152],"dir":"ltr"},{"str":"8","boundary":[0.14254901960784314,0.9332466666666668,0.15301803921568627,0.947489090909091],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.89098,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":8,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/10999bd5ad8969142c4c925a414dbc23.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/a531350cd9fbea368b1bc116cc70cf9a.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.07009,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"},{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"},{"str":"تشکیل","boundary":[0.8425490196078431,0.09708607066761367,0.8851456862745098,0.11238910097064399],"dir":"rtl"},{"str":"یک","boundary":[0.8164705882352942,0.09708607066761367,0.8374264705882353,0.11238910097064399],"dir":"rtl"},{"str":"-","boundary":[0.790392156862745,0.0912366666666667,0.7931825490196078,0.106539696969697],"dir":"ltr"},{"str":"R","boundary":[0.7980392156862745,0.09348621212121216,0.81141,0.10878924242424248],"dir":"ltr"},{"str":"م","boundary":[0.7789949019607842,0.09708607066761367,0.785391568627451,0.11238910097064399],"dir":"rtl"},{"str":"ول","boundary":[0.7523529411764704,0.09708607066761367,0.7696078431372548,0.11238910097064399],"dir":"rtl"},{"str":"میده","boundary":[0.7131125490196079,0.09708607066761367,0.7473817647058822,0.11238910097064399],"dir":"rtl"},{"str":"که","boundary":[0.6831372549019608,0.09708607066761367,0.6987625490196078,0.11238910097064399],"dir":"rtl"},{"str":"-","boundary":[0.6572549019607843,0.0912366666666667,0.6600452941176471,0.106539696969697],"dir":"ltr"},{"str":"R","boundary":[0.6649019607843137,0.09348621212121216,0.6783278431372549,0.10878924242424248],"dir":"ltr"},{"str":"م","boundary":[0.6458576470588235,0.09708607066761367,0.6522543137254903,0.11238910097064399],"dir":"rtl"},{"str":"ول","boundary":[0.6194117647058823,0.09708607066761367,0.6364705882352941,0.11238910097064399],"dir":"rtl"},{"str":"حاصلضرب","boundary":[0.5511764705882353,0.09708607066761367,0.6148182352941176,0.11238910097064399],"dir":"rtl"},{"str":"نامی","boundary":[0.5254654901960785,0.09708607066761367,0.5464335294117647,0.11238910097064399],"dir":"rtl"},{"str":"ه","boundary":[0.5098039215686274,0.09708607066761367,0.5160784313725489,0.11238910097064399],"dir":"rtl"},{"str":"میشود","boundary":[0.4609803921568629,0.09708607066761367,0.5048327450980392,0.11238910097064399],"dir":"rtl"},{"str":".","boundary":[0.4574509803921569,0.0912366666666667,0.46067901960784313,0.106539696969697],"dir":"ltr"},{"str":"مثال","boundary":[0.8537254901960787,0.13270707563920464,0.8848398039215689,0.14801010594223496],"dir":"rtl"},{"str":"R","boundary":[0.8029411764705885,0.12909227272727283,0.8162745098039218,0.14439530303030315],"dir":"ltr"},{"str":"[x]","boundary":[0.8213496078431375,0.12909227272727283,0.8446568627450983,0.14439530303030315],"dir":"ltr"},{"str":":","boundary":[0.8498039215686277,0.12684272727272736,0.8538345098039218,0.14214575757575768],"dir":"ltr"},{"str":"را","boundary":[0.7888235294117649,0.13269213127367432,0.7979927450980394,0.14799516157670464],"dir":"rtl"},{"str":"در","boundary":[0.7700000000000002,0.13269213127367432,0.7838231372549022,0.14799516157670464],"dir":"rtl"},{"str":"نظر","boundary":[0.7437254901960787,0.13269213127367432,0.7647078431372551,0.14799516157670464],"dir":"rtl"},{"str":"بگیری","boundary":[0.7091909803921571,0.13269213127367432,0.7387643137254905,0.14799516157670464],"dir":"rtl"},{"str":".","boundary":[0.6964705882352943,0.12684272727272736,0.6997705882352944,0.14214575757575768],"dir":"ltr"},{"str":"∏","boundary":[0.1776470588235294,0.16218484848484857,0.19636627450980393,0.17976060606060612],"dir":"ltr"},{"str":"ii","boundary":[0.2535294117647061,0.1708171212121213,0.31392156862745124,0.182483787878788],"dir":"ltr"},{"str":"0","boundary":[0.36411764705882355,0.1638793939393939,0.37267,0.177970303030303],"dir":"ltr"},{"str":"=∈≥=","boundary":[0.21666666666666665,0.16341439393939391,0.4133333333333333,0.177505303030303],"dir":"ltr"},{"str":"R{(a);aR;i}R[x]","boundary":[0.1992156862745098,0.16502075757575757,0.4334252941176471,0.17911166666666667],"dir":"ltr"},{"str":"≥","boundary":[0.18254901960784314,0.18145681818181816,0.1908378431372549,0.19312348484848485],"dir":"ltr"},{"str":"0i","boundary":[0.1774509803921571,0.1818418181818182,0.20764705882352963,0.194453484848485],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117645,0.22073737866950757,0.8844194117647057,0.2360404089725379],"dir":"rtl"},{"str":":","boundary":[0.8449019607843136,0.21487303030303032,0.8491286274509803,0.2301760606060606],"dir":"ltr"},{"str":"فرض","boundary":[0.8539215686274508,0.25632849491003795,0.8846176470588233,0.27163152521306827],"dir":"rtl"},{"str":"کنی","boundary":[0.8293870588235294,0.25632849491003795,0.8489929411764705,0.27163152521306827],"dir":"rtl"},{"str":"{M}","boundary":[0.7601960784313726,0.25382515151515156,0.805010588235294,0.26806757575757584],"dir":"ltr"},{"str":"∈","boundary":[0.8017647058823529,0.25842575757575764,0.8126694117647059,0.2702439393939394],"dir":"ltr"},{"str":"iiI","boundary":[0.7852941176470588,0.25977303030303034,0.8267235294117647,0.2715912121212122],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.6958823529411764,0.25632849491003795,0.7539794117647058,0.27163152521306827],"dir":"rtl"},{"str":"از","boundary":[0.6815686274509803,0.25632849491003795,0.6903786274509803,0.27163152521306827],"dir":"rtl"},{"str":"R","boundary":[0.6631372549019606,0.2527286363636364,0.6764745098039214,0.2680316666666667],"dir":"ltr"},{"str":"م","boundary":[0.6368362745098038,0.25632849491003795,0.6432329411764706,0.27163152521306827],"dir":"rtl"},{"str":"ولها","boundary":[0.5974509803921568,0.25632849491003795,0.6274492156862744,0.27163152521306827],"dir":"rtl"},{"str":"باش","boundary":[0.5741176470588235,0.25632849491003795,0.5927115686274509,0.27163152521306827],"dir":"rtl"},{"str":".","boundary":[0.5615686274509804,0.250479090909091,0.5647966666666665,0.26578212121212125],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372551,0.2847215151515152,0.8754386274509807,0.30002454545454554],"dir":"ltr"},{"str":"1","boundary":[0.8752941176470589,0.2847215151515152,0.8846539215686275,0.30002454545454554],"dir":"ltr"},{"str":"براي","boundary":[0.8380392156862747,0.2905709191524622,0.8643698039215688,0.3058739494554925],"dir":"rtl"},{"str":"هر","boundary":[0.817450980392157,0.2905709191524622,0.8327198039215687,0.3058739494554925],"dir":"rtl"},{"str":"R","boundary":[0.7990196078431375,0.28697106060606065,0.8124947058823532,0.30227409090909096],"dir":"ltr"},{"str":"م","boundary":[0.7725243137254905,0.2905709191524622,0.7789209803921571,0.3058739494554925],"dir":"rtl"},{"str":"ول","boundary":[0.7458823529411768,0.2905709191524622,0.763137254901961,0.3058739494554925],"dir":"rtl"},{"str":"مثل","boundary":[0.7160784313725493,0.2905709191524622,0.7405354901960787,0.3058739494554925],"dir":"rtl"},{"str":"X","boundary":[0.6964705882352944,0.28697106060606065,0.7107690196078434,0.30227409090909096],"dir":"ltr"},{"str":"و","boundary":[0.6847058823529415,0.2905709191524622,0.6910827450980396,0.3058739494554925],"dir":"rtl"},{"str":"هر","boundary":[0.6643137254901964,0.2905709191524622,0.6795825490196081,0.3058739494554925],"dir":"rtl"},{"str":"خانواده","boundary":[0.617058823529412,0.2905709191524622,0.659273529411765,0.3058739494554925],"dir":"rtl"},{"str":"از","boundary":[0.6025490196078434,0.2905709191524622,0.611718235294118,0.3058739494554925],"dir":"rtl"},{"str":"R","boundary":[0.5841176470588239,0.28697106060606065,0.5973268627450984,0.30227409090909096],"dir":"ltr"},{"str":"همریختیها","boundary":[0.4933333333333336,0.2905709191524622,0.5639843137254905,0.3058739494554925],"dir":"rtl"},{"str":"-","boundary":[0.34058823529411764,0.2847215151515152,0.3480147058823529,0.30002454545454554],"dir":"ltr"},{"str":"R","boundary":[0.3482352941176471,0.28697106060606065,0.36144450980392157,0.30227409090909096],"dir":"ltr"},{"str":"→","boundary":[0.4182352941176471,0.2862924242424243,0.43642705882352945,0.3005348484848485],"dir":"ltr"},{"str":"{f:XM}","boundary":[0.36745098039215685,0.2879160606060607,0.4783439215686275,0.3021584848484849],"dir":"ltr"},{"str":"∈","boundary":[0.4752941176470588,0.2925166666666667,0.48619882352941174,0.3043348484848485],"dir":"ltr"},{"str":"iiiI","boundary":[0.3819607843137255,0.29386393939393946,0.5002529411764707,0.30568212121212124],"dir":"ltr"},{"str":"همریختی","boundary":[0.2717647058823529,0.2905709191524622,0.3357443137254902,0.3058739494554925],"dir":"rtl"},{"str":"منحصربه","boundary":[0.206078431372549,0.2905709191524622,0.26658882352941177,0.3058739494554925],"dir":"rtl"},{"str":"فرد","boundary":[0.17490196078431372,0.2905709191524622,0.20120156862745098,0.3058739494554925],"dir":"rtl"},{"str":"∏","boundary":[0.8343137254901961,0.31991212121212126,0.8530329411764705,0.33748787878787884],"dir":"ltr"},{"str":"φ→","boundary":[0.7676470588235295,0.3211416666666666,0.8562180392156863,0.3352325757575757],"dir":"ltr"},{"str":"i:XM","boundary":[0.7811764705882352,0.32274803030303023,0.9299080392156862,0.34021106060606066],"dir":"ltr"},{"str":"موجود","boundary":[0.721372549019608,0.32496485854640156,0.7598770588235296,0.3402678888494319],"dir":"rtl"},{"str":"است","boundary":[0.6882352941176473,0.32496485854640156,0.7159880392156864,0.3402678888494319],"dir":"rtl"},{"str":"که","boundary":[0.6676470588235296,0.32496485854640156,0.6832723529411766,0.3402678888494319],"dir":"rtl"},{"str":"نمودار","boundary":[0.6262745098039217,0.32496485854640156,0.6625976470588236,0.3402678888494319],"dir":"rtl"},{"str":"زیر","boundary":[0.6033333333333334,0.32496485854640156,0.6212686274509805,0.3402678888494319],"dir":"rtl"},{"str":"جابجایی","boundary":[0.5476470588235296,0.32496485854640156,0.5985484313725491,0.3402678888494319],"dir":"rtl"},{"str":"است","boundary":[0.5149019607843138,0.32496485854640156,0.5428507843137256,0.3402678888494319],"dir":"rtl"},{"str":".","boundary":[0.5115686274509804,0.31911545454545465,0.5147966666666667,0.3344184848484849],"dir":"ltr"},{"str":"∈","boundary":[0.8356862745098039,0.33918409090909085,0.8464511764705881,0.3508507575757575],"dir":"ltr"},{"str":"iZ","boundary":[0.8319607843137256,0.34051409090909085,0.8656158823529413,0.3521807575757575],"dir":"ltr"}],"boundary":[0.1749,0.06988,0.92991,0.35218],"dir":"ltr","type":"paragraph"},{"words":[{"str":"φ=pofii","boundary":[0.8184313725490197,0.39977727272727276,0.9274509803921569,0.41916696969696965],"dir":"ltr"}],"boundary":[0.81843,0.39978,0.92745,0.41917],"dir":"ltr","type":"paragraph"},{"words":[{"str":"M","boundary":[0.8466666666666668,0.5036377272727273,0.8645382352941178,0.5189407575757575],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372549,0.5013881818181818,0.8754386274509804,0.5166912121212122],"dir":"ltr"},{"str":"2","boundary":[0.8752941176470589,0.5013881818181818,0.8845821568627451,0.5166912121212122],"dir":"ltr"},{"str":"یک","boundary":[0.8200000000000002,0.5072375858191288,0.8413480392156865,0.5225406161221591],"dir":"rtl"},{"str":"-","boundary":[0.7939215686274511,0.5013881818181818,0.8014368627450982,0.5166912121212122],"dir":"ltr"},{"str":"R","boundary":[0.8015686274509806,0.5036377272727273,0.8148666666666669,0.5189407575757575],"dir":"ltr"},{"str":"م","boundary":[0.7827203921568631,0.5072375858191288,0.7891170588235297,0.5225406161221591],"dir":"rtl"},{"str":"ول","boundary":[0.7558823529411767,0.5072375858191288,0.7733333333333335,0.5225406161221591],"dir":"rtl"},{"str":"اگر","boundary":[0.733137254901961,0.5072375858191288,0.7507986274509806,0.5225406161221591],"dir":"rtl"},{"str":"-","boundary":[0.707058823529412,0.5013881818181818,0.7144852941176473,0.5166912121212122],"dir":"ltr"},{"str":"R","boundary":[0.7147058823529414,0.5036377272727273,0.727915098039216,0.5189407575757575],"dir":"ltr"},{"str":"همریختی","boundary":[0.6445098039215689,0.5072375858191288,0.7022196078431375,0.5225406161221591],"dir":"rtl"},{"str":"ˆ","boundary":[0.4919607843137255,0.5013678787878788,0.49796784313725484,0.5153072727272728],"dir":"ltr"},{"str":"ii","boundary":[0.4982352941176471,0.5108006060606061,0.657843137254902,0.5223157575757575],"dir":"ltr"},{"str":"هایی","boundary":[0.6147058823529414,0.5072375858191288,0.644173529411765,0.5225406161221591],"dir":"rtl"},{"str":"مثل","boundary":[0.5850980392156865,0.5072375858191288,0.6095550980392159,0.5225406161221591],"dir":"rtl"},{"str":"→","boundary":[0.5376470588235295,0.5034151515151516,0.5554517647058824,0.5173545454545455],"dir":"ltr"},{"str":"P:MM","boundary":[0.49,0.5050042424242425,0.6074509803921568,0.5189436363636364],"dir":"ltr"},{"str":"موجود","boundary":[0.4484313725490197,0.5072375858191288,0.4871217647058824,0.5225406161221591],"dir":"rtl"},{"str":"باشن","boundary":[0.4189890196078432,0.5072375858191288,0.4432903921568628,0.5225406161221591],"dir":"rtl"},{"str":"،","boundary":[0.40549019607843145,0.5072375858191288,0.4096019607843138,0.5225406161221591],"dir":"ltr"},{"str":"با","boundary":[0.3923529411764707,0.5072375858191288,0.4003586274509805,0.5225406161221591],"dir":"rtl"},{"str":"این","boundary":[0.36745098039215696,0.5072375858191288,0.38694529411764716,0.5225406161221591],"dir":"rtl"},{"str":"ویژگی","boundary":[0.32431372549019616,0.5072375858191288,0.3623725490196079,0.5225406161221591],"dir":"rtl"},{"str":"که","boundary":[0.30352941176470594,0.5072375858191288,0.319154705882353,0.5225406161221591],"dir":"rtl"},{"str":"براي","boundary":[0.271764705882353,0.5072375858191288,0.2978782352941177,0.5225406161221591],"dir":"rtl"},{"str":"هر","boundary":[0.24529411764705888,0.5072375858191288,0.26654764705882356,0.5225406161221591],"dir":"rtl"},{"str":"-","boundary":[0.21921568627450988,0.5013881818181818,0.22664215686274516,0.5166912121212122],"dir":"ltr"},{"str":"R","boundary":[0.2268627450980393,0.5036377272727273,0.2400719607843138,0.5189407575757575],"dir":"ltr"},{"str":"م","boundary":[0.20174000000000009,0.5072375858191288,0.21431274509803933,0.5225406161221591],"dir":"rtl"},{"str":"ول","boundary":[0.1749019607843138,0.5072375858191288,0.19235294117647067,0.5225406161221591],"dir":"rtl"},{"str":"X","boundary":[0.8701960784313727,0.5377286363636363,0.8845921568627452,0.5530316666666667],"dir":"ltr"},{"str":"و","boundary":[0.8588235294117649,0.5413284949100379,0.865200392156863,0.5566315252130681],"dir":"rtl"},{"str":"هر","boundary":[0.8384313725490198,0.5413284949100379,0.8537001960784315,0.5566315252130681],"dir":"rtl"},{"str":"خانواده","boundary":[0.791372549019608,0.5413284949100379,0.8335872549019608,0.5566315252130681],"dir":"rtl"},{"str":"از","boundary":[0.7770588235294119,0.5413284949100379,0.7862280392156864,0.5566315252130681],"dir":"rtl"},{"str":"-","boundary":[0.7511764705882356,0.535479090909091,0.7586029411764709,0.5507821212121212],"dir":"ltr"},{"str":"R","boundary":[0.7588235294117649,0.5377286363636363,0.7720327450980394,0.5530316666666667],"dir":"ltr"},{"str":"همریختیها","boundary":[0.6758823529411767,0.5413284949100379,0.7465000000000003,0.5566315252130681],"dir":"rtl"},{"str":"R{f:XM}","boundary":[0.533921568627451,0.5388251515151515,0.6599125490196078,0.5530675757575757],"dir":"ltr"},{"str":"∈","boundary":[0.6566666666666666,0.5434257575757576,0.6675713725490195,0.5552439393939395],"dir":"ltr"},{"str":"iiiI","boundary":[0.5625490196078431,0.5447730303030303,0.6820176470588235,0.5565912121212121],"dir":"ltr"},{"str":"−→","boundary":[0.5231372549019608,0.5372015151515152,0.6833670588235294,0.5514439393939394],"dir":"ltr"},{"str":"همریختی","boundary":[0.4574509803921569,0.5413284949100379,0.5153235294117647,0.5566315252130681],"dir":"rtl"},{"str":"منحصر","boundary":[0.4098039215686275,0.5413284949100379,0.45252019607843136,0.5566315252130681],"dir":"rtl"},{"str":"به","boundary":[0.39294117647058824,0.5413284949100379,0.40481333333333336,0.5566315252130681],"dir":"rtl"},{"str":":XM","boundary":[0.2964705882352941,0.5381171212121212,0.39435274509803925,0.552814090909091],"dir":"ltr"},{"str":"فرد","boundary":[0.3680392156862745,0.5413284949100379,0.3879666666666667,0.5566315252130681],"dir":"rtl"},{"str":"φ→","boundary":[0.28294117647058825,0.5364416666666667,0.37220549019607846,0.5511386363636364],"dir":"ltr"},{"str":"القا","boundary":[0.257843137254902,0.5413284949100379,0.2755186274509804,0.5566315252130681],"dir":"rtl"},{"str":"شود","boundary":[0.22784313725490196,0.5413284949100379,0.25263392156862746,0.5566315252130681],"dir":"rtl"},{"str":"که","boundary":[0.20725490196078433,0.5413284949100379,0.22288019607843138,0.5566315252130681],"dir":"rtl"},{"str":":","boundary":[0.20392156862745098,0.535479090909091,0.20714960784313724,0.5507821212121212],"dir":"ltr"}],"boundary":[0.1749,0.50137,0.88459,0.55663],"dir":"ltr","type":"paragraph"},{"words":[{"str":"جابجا","boundary":[0.8509803921568628,0.6513284949100379,0.8852390196078432,0.6666315252130682],"dir":"rtl"},{"str":"شود","boundary":[0.8209803921568628,0.6513284949100379,0.8457590196078433,0.6666315252130682],"dir":"rtl"},{"str":"MM","boundary":[0.7001960784313725,0.6489601515151515,0.8158823529411765,0.6630510606060606],"dir":"ltr"},{"str":".","boundary":[0.8176470588235295,0.6454790909090908,0.8209449019607844,0.6607821212121212],"dir":"ltr"},{"str":"آنگاه","boundary":[0.7849019607843137,0.6513284949100379,0.8124398039215687,0.6666315252130682],"dir":"rtl"},{"str":"≅","boundary":[0.7198039215686274,0.6473537878787881,0.7298150980392157,0.6614446969696971],"dir":"ltr"},{"str":"∏","boundary":[0.7364705882352942,0.6461242424242425,0.7551898039215686,0.6637],"dir":"ltr"},{"str":"i","boundary":[0.7749019607843137,0.6547565151515151,0.7790992156862745,0.6664231818181817],"dir":"ltr"},{"str":"R","boundary":[0.7196078431372549,0.6629383333333333,0.7296782352941176,0.674605],"dir":"ltr"},{"str":"∈","boundary":[0.74,0.665396212121212,0.7507649019607843,0.6770628787878787],"dir":"ltr"},{"str":"iI","boundary":[0.7362745098039215,0.6667262121212121,0.7649480392156862,0.6783928787878788],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.7048282877604168,0.884813725490196,0.7201313180634471],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.6989639393939395,0.842,0.7142669696969698],"dir":"ltr"},{"str":"فرض","boundary":[0.7966666666666665,0.7048133433948865,0.8273627450980391,0.7201163736979168],"dir":"rtl"},{"str":"کنی","boundary":[0.7721321568627451,0.7048133433948865,0.7917380392156863,0.7201163736979168],"dir":"rtl"},{"str":"{M}","boundary":[0.6982352941176471,0.70231,0.7426576470588235,0.7165524242424242],"dir":"ltr"},{"str":"∈","boundary":[0.7398039215686274,0.7069106060606061,0.7507086274509803,0.7187287878787879],"dir":"ltr"},{"str":"iiZ","boundary":[0.7233333333333334,0.7082578787878788,0.7694066666666667,0.7200760606060607],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.633921568627451,0.7048133433948863,0.6920186274509804,0.7201163736979167],"dir":"rtl"},{"str":"از","boundary":[0.6198039215686274,0.7048133433948863,0.6289731372549019,0.7201163736979167],"dir":"rtl"},{"str":"-","boundary":[0.5939215686274509,0.6989639393939394,0.6014760784313725,0.7142669696969697],"dir":"ltr"},{"str":"R","boundary":[0.6015686274509804,0.7012134848484849,0.6149058823529411,0.7165165151515152],"dir":"ltr"},{"str":"م","boundary":[0.5827203921568627,0.7048133433948863,0.5891170588235294,0.7201163736979167],"dir":"rtl"},{"str":"ولها","boundary":[0.5433333333333334,0.7048133433948863,0.5733333333333334,0.7201163736979167],"dir":"rtl"},{"str":"باش","boundary":[0.5199752941176471,0.7048133433948863,0.5381770588235295,0.7201163736979167],"dir":"rtl"},{"str":".","boundary":[0.5072549019607843,0.6989639393939394,0.5105527450980393,0.7142669696969697],"dir":"ltr"},{"str":"}","boundary":[0.8752941176470588,0.7347215151515152,0.8849929411764705,0.7500245454545454],"dir":"ltr"},{"str":"به","boundary":[0.8635294117647058,0.7405709191524622,0.8754015686274508,0.7558739494554925],"dir":"rtl"},{"str":"جز","boundary":[0.8413725490196078,0.7405709191524622,0.8584766666666666,0.7558739494554925],"dir":"rtl"},{"str":"تع","boundary":[0.8252394117647059,0.7405709191524622,0.8365845098039216,0.7558739494554925],"dir":"rtl"},{"str":"اد","boundary":[0.8052941176470588,0.7405709191524622,0.8158523529411765,0.7558739494554925],"dir":"rtl"},{"str":"متناهی","boundary":[0.7564705882352942,0.7405709191524622,0.8001692156862745,0.7558739494554925],"dir":"rtl"},{"str":"ai","boundary":[0.7390196078431372,0.7369710606060607,0.7517080392156862,0.7541368181818181],"dir":"ltr"},{"str":"ها","boundary":[0.7262745098039215,0.7405709191524622,0.7388747058823529,0.7558739494554925],"dir":"rtl"},{"str":"صفران","boundary":[0.6897792156862744,0.7405709191524622,0.7210229411764705,0.7558739494554925],"dir":"rtl"},{"str":"C","boundary":[0.4841176470588235,0.7325963636363636,0.502836862745098,0.7501721212121212],"dir":"ltr"},{"str":"=αα∈","boundary":[0.5535294117647058,0.7365962121212122,0.6573776470588235,0.7506871212121212],"dir":"ltr"},{"str":"،M{(),Miiii","boundary":[0.526078431372549,0.7382025757575758,0.7088235294117646,0.7558739494554925],"dir":"ltr"},{"str":"∈","boundary":[0.5078431372549019,0.7446386363636363,0.5186080392156863,0.756305303030303],"dir":"ltr"},{"str":"iI","boundary":[0.5041176470588234,0.7459686363636363,0.5331833333333333,0.757635303030303],"dir":"ltr"},{"str":".","boundary":[0.651764705882353,0.7694184848484849,0.6550625490196079,0.7847215151515152],"dir":"ltr"},{"str":"C","boundary":[0.8156862745098039,0.7673166666666666,0.8342441176470587,0.784740909090909],"dir":"ltr"},{"str":"M","boundary":[0.8578431372549019,0.7728830303030304,0.8738800000000001,0.7868224242424242],"dir":"ltr"},{"str":"i","boundary":[0.8749019607843138,0.778544393939394,0.8790992156862746,0.7902110606060606],"dir":"ltr"},{"str":"∈","boundary":[0.839607843137255,0.7791840909090909,0.8503727450980393,0.7908507575757575],"dir":"ltr"},{"str":"iI","boundary":[0.8358823529411765,0.7805140909090909,0.8649480392156863,0.7921807575757576],"dir":"ltr"},{"str":"زیرم","boundary":[0.783736862745098,0.7752678888494319,0.8081427450980392,0.7905709191524622],"dir":"rtl"},{"str":"ولی","boundary":[0.7523529411764706,0.7752678888494319,0.7743498039215686,0.7905709191524622],"dir":"rtl"},{"str":"از","boundary":[0.7380392156862745,0.7752678888494319,0.747208431372549,0.7905709191524622],"dir":"rtl"},{"str":"∏","boundary":[0.69,0.7700636363636364,0.7087192156862745,0.7876393939393939],"dir":"ltr"},{"str":"Mi","boundary":[0.7115686274509804,0.7728995454545454,0.7324325490196079,0.7903625757575758],"dir":"ltr"},{"str":"است","boundary":[0.6550980392156864,0.7752678888494319,0.6830260784313726,0.7905709191524622],"dir":"rtl"},{"str":"آن","boundary":[0.6309803921568627,0.7752678888494319,0.6466849019607843,0.7905709191524622],"dir":"rtl"},{"str":"را","boundary":[0.6168627450980393,0.7752678888494319,0.6260319607843138,0.7905709191524622],"dir":"rtl"},{"str":"حاصلجمع","boundary":[0.5447058823529413,0.7752678888494319,0.6118770588235295,0.7905709191524622],"dir":"rtl"},{"str":"{M}","boundary":[0.48470588235294115,0.7726130303030304,0.5295203921568626,0.7868554545454546],"dir":"ltr"},{"str":"∈","boundary":[0.5262745098039215,0.7772136363636365,0.5371792156862745,0.7890318181818182],"dir":"ltr"},{"str":"iiI","boundary":[0.5098039215686274,0.7785609090909092,0.5512333333333334,0.790379090909091],"dir":"ltr"},{"str":"نامن","boundary":[0.4580145098039217,0.7752678888494319,0.478982549019608,0.7905709191524622],"dir":"rtl"},{"str":".","boundary":[0.4452941176470589,0.7694184848484849,0.4485221568627451,0.7847215151515152],"dir":"ltr"},{"str":"∈","boundary":[0.6935294117647058,0.7893356060606062,0.7042943137254902,0.8010022727272728],"dir":"ltr"},{"str":"iI","boundary":[0.6898039215686275,0.7906656060606061,0.7184774509803922,0.8023322727272728],"dir":"ltr"},{"str":"در","boundary":[0.8709803921568631,0.8207224343039774,0.884803529411765,0.8360254646070077],"dir":"rtl"},{"str":"حالتی","boundary":[0.8296078431372551,0.8207224343039774,0.8664441176470591,0.8360254646070077],"dir":"rtl"},{"str":"که","boundary":[0.8088235294117649,0.8207224343039774,0.824448823529412,0.8360254646070077],"dir":"rtl"},{"str":"I","boundary":[0.7972549019607846,0.8171225757575759,0.8038496078431375,0.8324256060606062],"dir":"ltr"},{"str":"متناهی","boundary":[0.7486274509803925,0.8207224343039774,0.7923054901960788,0.8360254646070077],"dir":"rtl"},{"str":"MMii","boundary":[0.6229411764705882,0.818354090909091,0.765686274509804,0.8358171212121213],"dir":"ltr"},{"str":"است","boundary":[0.7156862745098042,0.8207224343039774,0.7434390196078433,0.8360254646070077],"dir":"rtl"},{"str":"C","boundary":[0.5811764705882353,0.8127478787878788,0.5998956862745098,0.8303236363636364],"dir":"ltr"},{"str":"=","boundary":[0.6501960784313726,0.8167477272727274,0.6602072549019609,0.8308386363636364],"dir":"ltr"},{"str":"∏","boundary":[0.6643137254901961,0.8155181818181818,0.6830329411764706,0.8330939393939394],"dir":"ltr"},{"str":".","boundary":[0.7123529411764709,0.8148730303030304,0.7155809803921571,0.8301760606060606],"dir":"ltr"},{"str":"∈","boundary":[0.6047058823529412,0.8247901515151514,0.6154707843137255,0.8364568181818182],"dir":"ltr"},{"str":"iI","boundary":[0.6011764705882353,0.8261201515151515,0.62985,0.8377868181818181],"dir":"ltr"},{"str":"∈","boundary":[0.667843137254902,0.8347901515151516,0.6786080392156862,0.8464568181818183],"dir":"ltr"},{"str":"iI","boundary":[0.6641176470588235,0.8361201515151516,0.6931833333333334,0.8477868181818182],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117648,0.8742222271543562,0.8844194117647058,0.8895252574573865],"dir":"rtl"},{"str":":","boundary":[0.8449019607843138,0.8683578787878788,0.8489325490196079,0.8836609090909092],"dir":"ltr"},{"str":"فرض","boundary":[0.8090196078431373,0.8742072827888259,0.8397156862745098,0.8895103130918561],"dir":"rtl"},{"str":"کنی","boundary":[0.7842890196078431,0.8742072827888259,0.8038949019607844,0.8895103130918561],"dir":"rtl"},{"str":"{M}","boundary":[0.710392156862745,0.8715524242424242,0.7548145098039216,0.8857948484848484],"dir":"ltr"},{"str":"∈","boundary":[0.7519607843137255,0.8761530303030303,0.7628654901960784,0.8879712121212121],"dir":"ltr"},{"str":"iiZ","boundary":[0.7354901960784314,0.877500303030303,0.7815635294117648,0.8893184848484849],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.646078431372549,0.8742072827888258,0.7041754901960784,0.889510313091856],"dir":"rtl"},{"str":"از","boundary":[0.6319607843137255,0.8742072827888258,0.64113,0.889510313091856],"dir":"rtl"},{"str":"-","boundary":[0.6060784313725489,0.8683578787878787,0.6136329411764705,0.883660909090909],"dir":"ltr"},{"str":"R","boundary":[0.6137254901960784,0.8706074242424242,0.6270627450980392,0.8859104545454546],"dir":"ltr"},{"str":"م","boundary":[0.5948772549019609,0.8742072827888258,0.6012739215686275,0.889510313091856],"dir":"rtl"},{"str":"ولها","boundary":[0.5554901960784314,0.8742072827888258,0.5854901960784313,0.889510313091856],"dir":"rtl"},{"str":"باش","boundary":[0.5321321568627452,0.8742072827888258,0.5503339215686275,0.889510313091856],"dir":"rtl"},{"str":".","boundary":[0.5194117647058824,0.8683578787878787,0.5226398039215686,0.883660909090909],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372551,0.9039639393939394,0.8754386274509807,0.9192669696969696],"dir":"ltr"},{"str":"1","boundary":[0.8752941176470589,0.9039639393939394,0.8848480392156863,0.9192669696969696],"dir":"ltr"},{"str":"براي","boundary":[0.8380392156862747,0.9098133433948864,0.8643698039215688,0.9251163736979167],"dir":"rtl"},{"str":"هر","boundary":[0.817450980392157,0.9098133433948864,0.8327198039215687,0.9251163736979167],"dir":"rtl"},{"str":"-","boundary":[0.7913725490196081,0.9039639393939394,0.7990649019607846,0.9192669696969696],"dir":"ltr"},{"str":"R","boundary":[0.7990196078431375,0.9062134848484849,0.8124947058823532,0.9215165151515152],"dir":"ltr"},{"str":"م","boundary":[0.7800000000000002,0.9098133433948864,0.7862252941176474,0.9251163736979167],"dir":"rtl"},{"str":"ول","boundary":[0.7533333333333336,0.9098133433948864,0.7707843137254905,0.9251163736979167],"dir":"rtl"},{"str":"X","boundary":[0.7337254901960787,0.9062134848484849,0.7478525490196082,0.9215165151515152],"dir":"ltr"},{"str":"و","boundary":[0.7219607843137258,0.9098133433948864,0.7283376470588239,0.9251163736979167],"dir":"rtl"},{"str":"هر","boundary":[0.7015686274509807,0.9098133433948864,0.7168374509803924,0.9251163736979167],"dir":"rtl"},{"str":"خانواده","boundary":[0.6541176470588238,0.9098133433948864,0.6967184313725493,0.9251163736979167],"dir":"rtl"},{"str":"از","boundary":[0.6398039215686278,0.9098133433948864,0.6489731372549022,0.9251163736979167],"dir":"rtl"},{"str":"-","boundary":[0.6137254901960787,0.9039639393939394,0.6211519607843141,0.9192669696969696],"dir":"ltr"},{"str":"R","boundary":[0.6213725490196081,0.9062134848484849,0.6345817647058827,0.9215165151515152],"dir":"ltr"},{"str":"همریختیها","boundary":[0.5380392156862749,0.9098133433948864,0.6088815686274514,0.9251163736979167],"dir":"rtl"},{"str":"−→","boundary":[0.35568627450980395,0.9055348484848484,0.5347396078431372,0.9197772727272726],"dir":"ltr"},{"str":"مثل","boundary":[0.5084313725490199,0.9098133433948864,0.5328884313725493,0.9251163736979167],"dir":"rtl"},{"str":"R{f:MX}","boundary":[0.3664705882352941,0.9071584848484848,0.4857356862745098,0.921400909090909],"dir":"ltr"},{"str":"∈","boundary":[0.4890196078431372,0.9117590909090909,0.4999243137254901,0.9235772727272727],"dir":"ltr"},{"str":"iiiI","boundary":[0.3950980392156863,0.9131063636363637,0.5141745098039215,0.9249245454545455],"dir":"ltr"},{"str":"همریختی","boundary":[0.2898039215686275,0.9098133433948864,0.3477050980392157,0.9251163736979167],"dir":"rtl"},{"str":"منحصر","boundary":[0.2419607843137255,0.9098133433948864,0.28465313725490193,0.9251163736979167],"dir":"rtl"},{"str":"به","boundary":[0.21901960784313723,0.9098133433948864,0.23664235294117647,0.9251163736979167],"dir":"rtl"},{"str":"فردي","boundary":[0.17490196078431372,0.9098133433948864,0.21395137254901958,0.9251163736979167],"dir":"rtl"},{"str":"9","boundary":[0.19980392156862745,0.934610303030303,0.208761568627451,0.9488527272727273],"dir":"ltr"}],"boundary":[0.1749,0.64548,0.88524,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":9,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/5827385d6b4d457ff91c28afb72f386d.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/721cb034df519249d0f114bd60a57bfe.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.11412,0.05251]},"elements":[{"words":[{"str":":MXφ→","boundary":[0.6701960784313725,0.0961424242424241,0.861436862745098,0.11167090909090911],"dir":"ltr"},{"str":"مثل","boundary":[0.8037254901960784,0.09996485854640152,0.8281825490196079,0.11526788884943183],"dir":"rtl"},{"str":"C","boundary":[0.6915686274509804,0.09216515151515146,0.7101264705882353,0.10958939393939388],"dir":"ltr"},{"str":"i","boundary":[0.7503921568627451,0.1033928787878788,0.7545894117647058,0.11505954545454546],"dir":"ltr"},{"str":"∈","boundary":[0.7152941176470589,0.1040325757575757,0.7260590196078431,0.11569924242424236],"dir":"ltr"},{"str":"iI","boundary":[0.7115686274509804,0.1053625757575757,0.7406343137254903,0.11702924242424236],"dir":"ltr"},{"str":"موجود","boundary":[0.6239215686274511,0.09996485854640152,0.6626466666666668,0.11526788884943183],"dir":"rtl"},{"str":"است","boundary":[0.5907843137254903,0.09996485854640152,0.6187331372549021,0.11526788884943183],"dir":"rtl"},{"str":"که","boundary":[0.5701960784313727,0.09996485854640152,0.5858213725490197,0.11526788884943183],"dir":"rtl"},{"str":"نمودار","boundary":[0.5288235294117648,0.09996485854640152,0.5653096078431373,0.11526788884943183],"dir":"rtl"},{"str":"زیر","boundary":[0.5058823529411766,0.09996485854640152,0.5240184313725491,0.11526788884943183],"dir":"rtl"},{"str":"جابجا","boundary":[0.4670588235294118,0.09996485854640152,0.5013174509803922,0.11526788884943183],"dir":"rtl"},{"str":"میشود","boundary":[0.4182352941176472,0.09996485854640152,0.4620876470588236,0.11526788884943183],"dir":"rtl"},{"str":".","boundary":[0.4149019607843139,0.09411545454545454,0.41813000000000017,0.10941848484848485],"dir":"ltr"},{"str":"foφ=λii","boundary":[0.7592156862745097,0.13129242424242432,0.8747058823529412,0.15068212121212127],"dir":"ltr"}],"boundary":[0.4149,0.09217,0.87471,0.15068],"dir":"ltr","type":"paragraph"},{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"}],"boundary":[0.1751,0.07261,0.30976,0.08685],"dir":"rtl","type":"paragraph"},{"words":[{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"}],"boundary":[0.12275,0.07261,0.15858,0.08685],"dir":"rtl","type":"paragraph"},{"words":[{"str":"(","boundary":[0.8131372549019609,0.25744878787878805,0.8191641176470589,0.2727518181818184],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117647,0.25744878787878805,0.8281813725490196,0.2727518181818184],"dir":"ltr"},{"str":"گیریم","boundary":[0.7727450980392158,0.263298191879735,0.8080425490196078,0.27860122218276534],"dir":"rtl"},{"str":"-","boundary":[0.7143137254901962,0.25744878787878805,0.7222021568627452,0.2727518181818184],"dir":"ltr"},{"str":"R","boundary":[0.7219607843137257,0.2596983333333335,0.7356319607843139,0.2750013636363638],"dir":"ltr"},{"str":"،","boundary":[0.7403921568627452,0.263298191879735,0.7448941176470589,0.27860122218276534],"dir":"ltr"},{"str":"M","boundary":[0.7496078431372549,0.2596983333333335,0.7676754901960785,0.2750013636363638],"dir":"ltr"},{"str":"م","boundary":[0.7031125490196081,0.263298191879735,0.7095092156862748,0.27860122218276534],"dir":"rtl"},{"str":"ول","boundary":[0.6762745098039218,0.263298191879735,0.6937254901960787,0.27860122218276534],"dir":"rtl"},{"str":"باشن","boundary":[0.6470341176470591,0.263298191879735,0.6715315686274512,0.27860122218276534],"dir":"rtl"},{"str":".","boundary":[0.6343137254901963,0.25744878787878805,0.6376115686274512,0.2727518181818184],"dir":"ltr"},{"str":"اگر","boundary":[0.6115686274509805,0.263298191879735,0.6290292156862747,0.27860122218276534],"dir":"rtl"},{"str":"R","boundary":[0.5933333333333335,0.2596983333333335,0.606542549019608,0.2750013636363638],"dir":"ltr"},{"str":"همریختی","boundary":[0.5156862745098042,0.263298191879735,0.5733960784313727,0.27860122218276534],"dir":"rtl"},{"str":":MM","boundary":[0.4084313725490196,0.2612163636363637,0.5225490196078432,0.2751557575757576],"dir":"ltr"},{"str":"هاي","boundary":[0.49000000000000016,0.263298191879735,0.5155413725490198,0.27860122218276534],"dir":"rtl"},{"str":"ˆ","boundary":[0.39098039215686275,0.2572769696969697,0.3969874509803922,0.27121636363636364],"dir":"ltr"},{"str":"λ→ii","boundary":[0.38882352941176473,0.25962727272727276,0.5104501960784315,0.27852787878787894],"dir":"ltr"},{"str":"موجود","boundary":[0.3425490196078431,0.2632981918797349,0.3809064705882353,0.2786012221827652],"dir":"rtl"},{"str":"باشن","boundary":[0.31313725490196076,0.2632981918797349,0.33783078431372543,0.2786012221827652],"dir":"rtl"},{"str":"که","boundary":[0.28313725490196073,0.2632981918797349,0.29918803921568626,0.2786012221827652],"dir":"rtl"},{"str":"براي","boundary":[0.25156862745098035,0.2632981918797349,0.278095294117647,0.2786012221827652],"dir":"rtl"},{"str":"هر","boundary":[0.23137254901960783,0.2632981918797349,0.24664137254901958,0.2786012221827652],"dir":"rtl"},{"str":"-","boundary":[0.20549019607843136,0.2574487878787879,0.21274509803921568,0.2727518181818182],"dir":"ltr"},{"str":"R","boundary":[0.21313725490196078,0.25969833333333336,0.2261749019607843,0.2750013636363636],"dir":"ltr"},{"str":"م","boundary":[0.19428901960784312,0.2632981918797349,0.20068568627450978,0.2786012221827652],"dir":"rtl"},{"str":"ول","boundary":[0.1676470588235294,0.2632981918797349,0.18490196078431373,0.2786012221827652],"dir":"rtl"},{"str":"دلخواه","boundary":[0.11843137254901959,0.2632981918797349,0.16266450980392155,0.2786012221827652],"dir":"rtl"},{"str":"،X","boundary":[0.809607843137255,0.2939407575757576,0.8280239215686274,0.31284364642518947],"dir":"ltr"},{"str":"و","boundary":[0.797843137254902,0.29754061612215915,0.80422,0.31284364642518947],"dir":"rtl"},{"str":"هر","boundary":[0.7770588235294118,0.29754061612215915,0.7923276470588235,0.31284364642518947],"dir":"rtl"},{"str":"خانواده","boundary":[0.7296078431372549,0.29754061612215915,0.7718225490196078,0.31284364642518947],"dir":"rtl"},{"str":"از","boundary":[0.7150980392156863,0.29754061612215915,0.7242672549019608,0.31284364642518947],"dir":"rtl"},{"str":"-","boundary":[0.6888235294117647,0.2916912121212122,0.69625,0.30699424242424245],"dir":"ltr"},{"str":"R","boundary":[0.6964705882352942,0.2939407575757576,0.7096798039215687,0.3092437878787879],"dir":"ltr"},{"str":"همریختی","boundary":[0.6258823529411766,0.29754061612215915,0.6835921568627451,0.31284364642518947],"dir":"rtl"},{"str":"ها","boundary":[0.6127450980392157,0.29754061612215915,0.625345294117647,0.31284364642518947],"dir":"rtl"},{"str":"مثل","boundary":[0.5829411764705882,0.29754061612215915,0.6073982352941176,0.31284364642518947],"dir":"rtl"},{"str":"→","boundary":[0.5119607843137255,0.29326212121212125,0.5301525490196078,0.3075045454545455],"dir":"ltr"},{"str":"{f:MX}","boundary":[0.4513725490196079,0.29488575757575763,0.5571082352941177,0.30912818181818186],"dir":"ltr"},{"str":"∈","boundary":[0.56,0.29948636363636366,0.570904705882353,0.31130454545454544],"dir":"ltr"},{"str":"iiiZ","boundary":[0.466078431372549,0.30083363636363636,0.5901909803921569,0.3126518181818182],"dir":"ltr"},{"str":"همریختی","boundary":[0.38705882352941173,0.29754061612215915,0.44493137254901954,0.31284364642518947],"dir":"rtl"},{"str":"φ→:MX","boundary":[0.302156862745098,0.29265378787878793,0.41349039215686273,0.3090262121212121],"dir":"ltr"},{"str":"را","boundary":[0.2850980392156863,0.29754061612215915,0.2942672549019608,0.31284364642518947],"dir":"rtl"},{"str":"القا","boundary":[0.2562745098039216,0.29754061612215915,0.27980647058823527,0.31284364642518947],"dir":"rtl"},{"str":"کن","boundary":[0.23154392156862746,0.29754061612215915,0.2511286274509804,0.31284364642518947],"dir":"rtl"},{"str":"که","boundary":[0.19529411764705884,0.29754061612215915,0.21709549019607846,0.31284364642518947],"dir":"rtl"},{"str":"نمودار","boundary":[0.14764705882352944,0.29754061612215915,0.190211568627451,0.31284364642518947],"dir":"rtl"},{"str":"زیر","boundary":[0.11843137254901961,0.29754061612215915,0.14261450980392157,0.31284364642518947],"dir":"rtl"},{"str":"جابجایی","boundary":[0.7776470588235296,0.33208607066761364,0.8283523529411766,0.34738910097064396],"dir":"rtl"},{"str":"گردد","boundary":[0.7429411764705883,0.33208607066761364,0.772509411764706,0.34738910097064396],"dir":"rtl"},{"str":"RiMM","boundary":[0.5962745098039216,0.3297012121212122,0.77,0.3470292424242425],"dir":"ltr"},{"str":"آنگاه","boundary":[0.7098039215686275,0.33208607066761364,0.7377419607843138,0.34738910097064396],"dir":"rtl"},{"str":"C","boundary":[0.6415686274509804,0.32413484848484847,0.6601264705882353,0.34155909090909087],"dir":"ltr"},{"str":"≅","boundary":[0.6154901960784314,0.32811212121212113,0.6253937254901961,0.3420515151515151],"dir":"ltr"},{"str":"∈","boundary":[0.6650980392156863,0.3360022727272727,0.6758629411764706,0.3476689393939394],"dir":"ltr"},{"str":"iI","boundary":[0.6613725490196078,0.3373322727272727,0.6900460784313726,0.3489989393939394],"dir":"ltr"}],"boundary":[0.11843,0.25728,0.82835,0.349],"dir":"ltr","type":"paragraph"},{"words":[{"str":"قضیه","boundary":[0.7923529411764705,0.4864949544270834,0.8280692156862745,0.5017979847301137],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.48063060606060615,0.7926580392156862,0.49593363636363647],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764706,0.4864800100615531,0.782666274509804,0.5017830403645834],"dir":"rtl"},{"str":"کنی","boundary":[0.7274262745098039,0.4864800100615531,0.7470321568627452,0.5017830403645834],"dir":"rtl"},{"str":"-","boundary":[0.6590196078431373,0.48063060606060615,0.6662547058823529,0.49593363636363647],"dir":"ltr"},{"str":"R","boundary":[0.6666666666666666,0.48288015151515157,0.6796845098039216,0.4981831818181819],"dir":"ltr"},{"str":"،","boundary":[0.6852941176470588,0.4864800100615531,0.6891427450980392,0.5017830403645834],"dir":"ltr"},{"str":"M","boundary":[0.6947058823529412,0.48288015151515157,0.7121201960784314,0.4981831818181819],"dir":"ltr"},{"str":"م","boundary":[0.6476223529411764,0.4864800100615531,0.6540190196078431,0.5017830403645834],"dir":"rtl"},{"str":"ول","boundary":[0.6207843137254901,0.4864800100615531,0.638235294117647,0.5017830403645834],"dir":"rtl"},{"str":"iiI","boundary":[0.5741176470588235,0.48992454545454545,0.6155470588235294,0.5017427272727273],"dir":"ltr"},{"str":"و","boundary":[0.6090196078431372,0.4864800100615531,0.6152050980392156,0.5017830403645834],"dir":"rtl"},{"str":"{M}","boundary":[0.5490196078431373,0.48397666666666667,0.5938341176470587,0.4982190909090909],"dir":"ltr"},{"str":"∈","boundary":[0.5905882352941176,0.48857727272727275,0.6014929411764706,0.5003954545454546],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.48431372549019613,0.486480010061553,0.5427968627450981,0.5017830403645833],"dir":"rtl"},{"str":"از","boundary":[0.46960784313725495,0.486480010061553,0.47877705882352944,0.5017830403645833],"dir":"rtl"},{"str":"زیرم","boundary":[0.43977921568627454,0.486480010061553,0.46418509803921565,0.5017830403645833],"dir":"rtl"},{"str":"ولهاي","boundary":[0.3870588235294118,0.486480010061553,0.43039215686274507,0.5017830403645833],"dir":"rtl"},{"str":"M","boundary":[0.363921568627451,0.4828801515151515,0.38179509803921574,0.49818318181818183],"dir":"ltr"},{"str":"باش","boundary":[0.3403674509803922,0.486480010061553,0.3587652941176471,0.5017830403645833],"dir":"rtl"},{"str":"،","boundary":[0.3268627450980393,0.486480010061553,0.33098039215686287,0.5017830403645833],"dir":"ltr"},{"str":"در","boundary":[0.30784313725490203,0.486480010061553,0.32166627450980395,0.5017830403645833],"dir":"rtl"},{"str":"این","boundary":[0.27686274509803926,0.486480010061553,0.30278058823529413,0.5017830403645833],"dir":"rtl"},{"str":"صورت","boundary":[0.22725490196078432,0.486480010061553,0.27169549019607847,0.5017830403645833],"dir":"rtl"},{"str":"اگر","boundary":[0.19843137254901963,0.486480010061553,0.22217117647058823,0.5017830403645833],"dir":"rtl"},{"str":"{M}","boundary":[0.1384313725490196,0.48397666666666667,0.18324588235294118,0.4982190909090909],"dir":"ltr"},{"str":"∈","boundary":[0.18,0.48857727272727275,0.19090470588235295,0.5003954545454546],"dir":"ltr"},{"str":"iiI","boundary":[0.16352941176470587,0.48992454545454545,0.20495882352941175,0.5017427272727273],"dir":"ltr"},{"str":"در","boundary":[0.11843137254901961,0.486480010061553,0.1322545098039216,0.5017830403645833],"dir":"rtl"},{"str":"یکی","boundary":[0.8027450980392158,0.5220860706676136,0.828238431372549,0.537389100970644],"dir":"rtl"},{"str":"از","boundary":[0.7886274509803922,0.5220860706676136,0.7977966666666667,0.537389100970644],"dir":"rtl"},{"str":"شرایط","boundary":[0.7450980392156864,0.5220860706676136,0.7835550980392159,0.537389100970644],"dir":"rtl"},{"str":"زیر","boundary":[0.7219607843137256,0.5220860706676136,0.7402882352941177,0.537389100970644],"dir":"rtl"},{"str":";","boundary":[0.5819607843137256,0.5161633333333333,0.5919719607843138,0.5302542424242425],"dir":"ltr"},{"str":"ii","boundary":[0.5694117647058824,0.5256656060606061,0.7262745098039216,0.5373322727272727],"dir":"ltr"},{"str":"ص","boundary":[0.7058576470588236,0.5220860706676136,0.7169082352941177,0.537389100970644],"dir":"rtl"},{"str":"MM","boundary":[0.5525490196078432,0.5198692424242425,0.7094117647058824,0.5339601515151515],"dir":"ltr"},{"str":"ق","boundary":[0.6850980392156863,0.5220860706676136,0.6964705882352942,0.537389100970644],"dir":"rtl"},{"str":"کن","boundary":[0.6666419607843138,0.5220860706676136,0.6801482352941177,0.537389100970644],"dir":"rtl"},{"str":":","boundary":[0.5249019607843137,0.5162366666666667,0.52813,0.5315396969696969],"dir":"ltr"},{"str":"⊕","boundary":[0.5333333333333333,0.5182628787878788,0.5473380392156862,0.532353787878788],"dir":"ltr"},{"str":"C","boundary":[0.603921568627451,0.5142630303030303,0.6226407843137255,0.5318387878787879],"dir":"ltr"},{"str":"∈","boundary":[0.5345098039215687,0.5326689393939394,0.5452747058823529,0.544335606060606],"dir":"ltr"},{"str":"iI","boundary":[0.5307843137254903,0.5339989393939394,0.5598500000000001,0.5456656060606061],"dir":"ltr"},{"str":"R","boundary":[0.5815686274509804,0.5338474242424243,0.5916390196078432,0.545514090909091],"dir":"ltr"},{"str":"∈","boundary":[0.6127450980392157,0.5364568181818182,0.62351,0.5481234848484848],"dir":"ltr"},{"str":"RiI","boundary":[0.5988235294117648,0.5377868181818182,0.6378892156862745,0.5494534848484849],"dir":"ltr"},{"str":"{M}","boundary":[0.7531372549019608,0.5648857575757575,0.7979517647058825,0.5791281818181818],"dir":"ltr"},{"str":"∈","boundary":[0.7947058823529412,0.5694863636363636,0.8056105882352941,0.5813045454545455],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019608,0.561539696969697,0.8187719607843137,0.5768427272727272],"dir":"ltr"},{"str":"iiI1","boundary":[0.778235294117647,0.561539696969697,0.8281813725490196,0.5826518181818182],"dir":"ltr"},{"str":"مستقل","boundary":[0.7045098039215686,0.5673891009706439,0.7469986274509803,0.5826921312736743],"dir":"rtl"},{"str":"باشن","boundary":[0.6752694117647059,0.5673891009706439,0.699766862745098,0.5826921312736743],"dir":"rtl"},{"str":"(","boundary":[0.8131372549019606,0.5960851515151515,0.8189680392156862,0.6113881818181819],"dir":"ltr"},{"str":"2MMIΣ","boundary":[0.6925490196078431,0.5960851515151515,0.8858823529411765,0.6137921212121212],"dir":"ltr"},{"str":"∈","boundary":[0.7494117647058823,0.6043363636363637,0.7600368627450981,0.6158515151515151],"dir":"ltr"},{"str":"jiI/{j}i","boundary":[0.7113725490196079,0.6056490909090909,0.8271858823529411,0.6171642424242424],"dir":"ltr"},{"str":"(","boundary":[0.8080392156862745,0.6318427272727273,0.8136739215686274,0.6471457575757575],"dir":"ltr"},{"str":"3","boundary":[0.8137254901960784,0.6318427272727273,0.8230833333333333,0.6471457575757575],"dir":"ltr"},{"str":"هر","boundary":[0.787843137254902,0.6376921312736742,0.8031119607843137,0.6529951615767045],"dir":"rtl"},{"str":"عضو","boundary":[0.7566666666666666,0.6376921312736742,0.7830043137254902,0.6529951615767045],"dir":"rtl"},{"str":"∑","boundary":[0.7109803921568627,0.6320325757575758,0.7273374509803922,0.6497598484848486],"dir":"ltr"},{"str":"Mi","boundary":[0.7303921568627451,0.6350372727272727,0.7517027450980392,0.6528033333333333],"dir":"ltr"},{"str":"داراي","boundary":[0.6705882352941178,0.6376921312736742,0.7031749019607845,0.6529951615767045],"dir":"rtl"},{"str":"نمایش","boundary":[0.6254901960784315,0.6376921312736742,0.665636274509804,0.6529951615767045],"dir":"rtl"},{"str":"منحصر","boundary":[0.5776470588235295,0.6376921312736742,0.6207131372549021,0.6529951615767045],"dir":"rtl"},{"str":"به","boundary":[0.5611764705882354,0.6376921312736742,0.572623137254902,0.6529951615767045],"dir":"rtl"},{"str":"فرد","boundary":[0.5360784313725491,0.6376921312736742,0.5560058823529412,0.6529951615767045],"dir":"rtl"},{"str":"باش","boundary":[0.5127450980392158,0.6376921312736742,0.5313390196078431,0.6529951615767045],"dir":"rtl"},{"str":".","boundary":[0.5001960784313726,0.6318427272727273,0.5034241176470587,0.6471457575757575],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764707,0.6802828332149622,0.8280692156862747,0.6955858635179926],"dir":"rtl"},{"str":":","boundary":[0.7884313725490197,0.6744184848484849,0.7924619607843139,0.6897215151515153],"dir":"ltr"},{"str":"فرض","boundary":[0.7521568627450981,0.6802678888494319,0.7826819607843137,0.6955709191524622],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235295,0.6802678888494319,0.7476027450980393,0.6955709191524622],"dir":"rtl"},{"str":"R","boundary":[0.6096078431372549,0.6766680303030304,0.6228170588235294,0.6919710606060607],"dir":"ltr"},{"str":"،","boundary":[0.6278431372549019,0.6802678888494319,0.631883137254902,0.6955709191524622],"dir":"ltr"},{"str":"M2","boundary":[0.6347058823529411,0.6776130303030303,0.6583494117647058,0.6944218181818181],"dir":"ltr"},{"str":"،","boundary":[0.6605882352941176,0.6802678888494319,0.6646282352941176,0.6955709191524622],"dir":"ltr"},{"str":"M1","boundary":[0.6676470588235295,0.6776130303030303,0.6905062745098038,0.6944218181818181],"dir":"ltr"},{"str":"،M","boundary":[0.6911764705882354,0.6766680303030304,0.712708431372549,0.6955709191524622],"dir":"ltr"},{"str":"م","boundary":[0.5833086274509803,0.6802678888494319,0.589705294117647,0.6955709191524622],"dir":"rtl"},{"str":"ول","boundary":[0.5564705882352942,0.6802678888494319,0.573921568627451,0.6955709191524622],"dir":"rtl"},{"str":"باشن","boundary":[0.5272301960784315,0.6802678888494319,0.5517276470588236,0.6955709191524622],"dir":"rtl"},{"str":".","boundary":[0.5145098039215686,0.6744184848484849,0.5178076470588235,0.6897215151515153],"dir":"ltr"},{"str":"اگر","boundary":[0.4917647058823529,0.6802678888494319,0.509225294117647,0.6955709191524622],"dir":"rtl"},{"str":":","boundary":[0.4884313725490195,0.6744184848484849,0.4916594117647058,0.6897215151515153],"dir":"ltr"},{"str":"φψ→→→→00MMM12","boundary":[0.1188235294117647,0.7106992424242424,0.6874509803921569,0.73366],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.7821568627450981,0.7529951615767047,0.8282945098039216,0.7682981918797349],"dir":"rtl"},{"str":"دقیق","boundary":[0.7460784313725491,0.7529951615767047,0.7772619607843139,0.7682981918797349],"dir":"rtl"},{"str":"باش","boundary":[0.7227203921568629,0.7529951615767047,0.7409221568627452,0.7682981918797349],"dir":"rtl"},{"str":"،","boundary":[0.7092156862745099,0.7529951615767047,0.7133333333333334,0.7682981918797349],"dir":"ltr"},{"str":"شرایط","boundary":[0.6658823529411766,0.7529951615767047,0.7039696078431373,0.7682981918797349],"dir":"rtl"},{"str":"زیر","boundary":[0.6427450980392158,0.7529951615767047,0.6606803921568629,0.7682981918797349],"dir":"rtl"},{"str":"معادلن","boundary":[0.6027203921568629,0.7529951615767047,0.6378635294117649,0.7682981918797349],"dir":"rtl"},{"str":":","boundary":[0.5900000000000001,0.7471457575757576,0.5933333333333334,0.762448787878788],"dir":"ltr"},{"str":"R","boundary":[0.7947058823529412,0.7837892424242425,0.8083770588235294,0.7990922727272729],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019608,0.781539696969697,0.8191641176470589,0.7968427272727273],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117647,0.781539696969697,0.8283774509803922,0.7968427272727273],"dir":"ltr"},{"str":"همریختی","boundary":[0.7317647058823529,0.7873891009706441,0.7896372549019608,0.8026921312736743],"dir":"rtl"},{"str":"′","boundary":[0.6470588235294118,0.7823530303030303,0.6516113725490196,0.7965954545454546],"dir":"ltr"},{"str":"1φ→:MM","boundary":[0.6364705882352941,0.783110606060606,0.7541176470588234,0.8015430303030302],"dir":"ltr"},{"str":"وجود","boundary":[0.5976470588235294,0.787389100970644,0.6288607843137255,0.8026921312736742],"dir":"rtl"},{"str":"دارد","boundary":[0.5682352941176471,0.787389100970644,0.5926166666666667,0.8026921312736742],"dir":"rtl"},{"str":"که","boundary":[0.5474509803921568,0.787389100970644,0.5630762745098039,0.8026921312736742],"dir":"rtl"},{"str":"o","boundary":[0.48254901960784313,0.7847342424242424,0.4917647058823529,0.7989766666666666],"dir":"ltr"},{"str":"′","boundary":[0.5025490196078432,0.7823530303030303,0.5071015686274509,0.7965954545454546],"dir":"ltr"},{"str":"φφ=1M","boundary":[0.471764705882353,0.783110606060606,0.5434003921568628,0.8025003030303031],"dir":"ltr"},{"str":"R","boundary":[0.7947058823529412,0.8181831818181818,0.8083770588235294,0.8334862121212121],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019608,0.8159336363636364,0.8191641176470589,0.8312366666666666],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117647,0.8159336363636364,0.828111568627451,0.8312366666666666],"dir":"ltr"},{"str":"همریختی","boundary":[0.7317647058823529,0.8217830403645833,0.7896372549019608,0.8370860706676136],"dir":"rtl"},{"str":"′","boundary":[0.6425490196078432,0.8167469696969697,0.6471015686274509,0.830989393939394],"dir":"ltr"},{"str":"2ψ→:MM","boundary":[0.6296078431372549,0.8175045454545453,0.7670588235294118,0.8359369696969696],"dir":"ltr"},{"str":"وجود","boundary":[0.5956862745098039,0.8217830403645833,0.6265078431372549,0.8370860706676136],"dir":"rtl"},{"str":"دارد","boundary":[0.566078431372549,0.8217830403645833,0.5904598039215686,0.8370860706676136],"dir":"rtl"},{"str":"که","boundary":[0.5454901960784313,0.8217830403645833,0.5611154901960784,0.8370860706676136],"dir":"rtl"},{"str":"o","boundary":[0.472156862745098,0.819701212121212,0.4811764705882352,0.833640606060606],"dir":"ltr"},{"str":"′","boundary":[0.49431372549019603,0.8173545454545456,0.49876941176470585,0.8312939393939395],"dir":"ltr"},{"str":"ψψ=1M2","boundary":[0.4594117647058824,0.8181121212121212,0.5409037254901962,0.8390466666666666],"dir":"ltr"},{"str":"(","boundary":[0.813137254901961,0.8516912121212121,0.8189680392156865,0.8669942424242425],"dir":"ltr"},{"str":"3","boundary":[0.8188235294117647,0.8516912121212121,0.8281813725490196,0.8669942424242425],"dir":"ltr"},{"str":"دنباله","boundary":[0.774901960784314,0.8575406161221591,0.8082945098039218,0.8728436464251894],"dir":"rtl"},{"str":"ي","boundary":[0.7570588235294119,0.8575406161221591,0.7699398039215688,0.8728436464251894],"dir":"rtl"},{"str":"دقیق","boundary":[0.7209803921568629,0.8575406161221591,0.7521639215686277,0.8728436464251894],"dir":"rtl"},{"str":"کوتاه","boundary":[0.6860784313725492,0.8575406161221591,0.7160137254901963,0.8728436464251894],"dir":"rtl"},{"str":"بالا","boundary":[0.6633333333333334,0.8575406161221591,0.6813484313725492,0.8728436464251894],"dir":"rtl"},{"str":"با","boundary":[0.6503921568627452,0.8575406161221591,0.658397843137255,0.8728436464251894],"dir":"rtl"},{"str":"دنباله","boundary":[0.6121568627450981,0.8575406161221591,0.6455494117647059,0.8728436464251894],"dir":"rtl"},{"str":"ي","boundary":[0.5943137254901961,0.8575406161221591,0.6071947058823529,0.8728436464251894],"dir":"rtl"},{"str":"دقیق","boundary":[0.5582352941176472,0.8575406161221591,0.5894188235294118,0.8728436464251894],"dir":"rtl"},{"str":"کوتاه","boundary":[0.5233333333333334,0.8575406161221591,0.5532686274509805,0.8728436464251894],"dir":"rtl"},{"str":"زیر","boundary":[0.5003921568627451,0.8575406161221591,0.5185282352941177,0.8728436464251894],"dir":"rtl"},{"str":"یکریخت","boundary":[0.44490196078431377,0.8575406161221591,0.4957133333333334,0.8728436464251894],"dir":"rtl"},{"str":"است","boundary":[0.4119607843137255,0.8575406161221591,0.4398888235294117,0.8728436464251894],"dir":"rtl"},{"str":".","boundary":[0.40862745098039216,0.8516912121212121,0.4119252941176471,0.8669942424242425],"dir":"ltr"},{"str":"0","boundary":[0.1188235294117647,0.8888836363636364,0.1274678431372549,0.9031260606060606],"dir":"ltr"},{"str":"−||","boundary":[0.23490196078431388,0.8963822727272727,0.24823529411764722,0.9064674242424242],"dir":"ltr"},{"str":"MMMM1122","boundary":[0.15627450980392157,0.8900372727272727,0.3749019607843137,0.9068460606060607],"dir":"ltr"},{"str":"→→→","boundary":[0.13254901960784315,0.8884136363636363,0.37529411764705883,0.9026560606060606],"dir":"ltr"},{"str":"10","boundary":[0.1411764705882353,0.9332466666666668,0.1539835294117647,0.947489090909091],"dir":"ltr"}],"boundary":[0.11843,0.48063,0.88588,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":10,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/0ba87f19ed7fcfd54c28c0e55d754635.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/7554a6a8dbafce3b4092bb39dc39b606.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.04941,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"},{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"},{"str":"تعری","boundary":[0.858023725490196,0.09831313624526511,0.884813725490196,0.11361616654829541],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.09244878787878781,0.842,0.10775181818181813],"dir":"ltr"},{"str":"هر","boundary":[0.8172549019607842,0.09829819187973479,0.832523725490196,0.1136012221827651],"dir":"rtl"},{"str":"دنبالهي","boundary":[0.7662745098039215,0.09829819187973479,0.8122160784313726,0.1136012221827651],"dir":"rtl"},{"str":"دقیق","boundary":[0.7301960784313726,0.09829819187973479,0.7613796078431372,0.1136012221827651],"dir":"rtl"},{"str":"کوتاه","boundary":[0.6952941176470588,0.09829819187973479,0.7252294117647059,0.1136012221827651],"dir":"rtl"},{"str":"که","boundary":[0.6747058823529412,0.09829819187973479,0.6903311764705882,0.1136012221827651],"dir":"rtl"},{"str":"در","boundary":[0.6558823529411765,0.09829819187973479,0.6697054901960784,0.1136012221827651],"dir":"rtl"},{"str":"یکی","boundary":[0.6254901960784313,0.09829819187973479,0.6509835294117646,0.1136012221827651],"dir":"rtl"},{"str":"از","boundary":[0.6111764705882352,0.09829819187973479,0.6203456862745097,0.1136012221827651],"dir":"rtl"},{"str":"شرایط","boundary":[0.567843137254902,0.09829819187973479,0.6059174509803921,0.1136012221827651],"dir":"rtl"},{"str":"قضیهي","boundary":[0.5184313725490196,0.09829819187973479,0.5628164705882353,0.1136012221827651],"dir":"rtl"},{"str":"فوق","boundary":[0.48960784313725486,0.09829819187973479,0.513253725490196,0.1136012221827651],"dir":"rtl"},{"str":"ص","boundary":[0.4733213725490196,0.09829819187973479,0.48437196078431377,0.1136012221827651],"dir":"rtl"},{"str":"ق","boundary":[0.45274509803921564,0.09829819187973479,0.46393431372549016,0.1136012221827651],"dir":"rtl"},{"str":"میکن","boundary":[0.41546549019607837,0.09829819187973479,0.44777392156862744,0.1136012221827651],"dir":"rtl"},{"str":"،","boundary":[0.402156862745098,0.09829819187973479,0.406078431372549,0.1136012221827651],"dir":"ltr"},{"str":"میتوان","boundary":[0.3605635294117646,0.09829819187973479,0.3969896078431372,0.1136012221827651],"dir":"rtl"},{"str":"شکافته","boundary":[0.30294117647058816,0.09829819187973479,0.346059019607843,0.1136012221827651],"dir":"rtl"},{"str":"شود","boundary":[0.27294117647058813,0.09829819187973479,0.297879019607843,0.1136012221827651],"dir":"rtl"},{"str":".","boundary":[0.26960784313725483,0.09244878787878781,0.2728358823529411,0.10775181818181813],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.13497980291193173,0.884813725490196,0.15028283321496202],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.12911545454545442,0.8420698039215686,0.14441848484848474],"dir":"ltr"},{"str":"فرض","boundary":[0.8017647058823528,0.13496485854640142,0.8324607843137254,0.1502678888494317],"dir":"rtl"},{"str":"کنی","boundary":[0.7770341176470588,0.13496485854640142,0.79664,0.1502678888494317],"dir":"rtl"},{"str":"N","boundary":[0.7160784313725489,0.1313649999999999,0.7303768627450979,0.14666803030303022],"dir":"ltr"},{"str":"،","boundary":[0.7356862745098038,0.13496485854640142,0.7397262745098039,0.1502678888494317],"dir":"ltr"},{"str":"M","boundary":[0.7447058823529411,0.1313649999999999,0.7623115686274509,0.14666803030303022],"dir":"ltr"},{"str":"دو","boundary":[0.6970588235294117,0.13496485854640142,0.7111882352941176,0.1502678888494317],"dir":"rtl"},{"str":"R","boundary":[0.6788235294117646,0.1313649999999999,0.6921264705882352,0.14666803030303022],"dir":"ltr"},{"str":"م","boundary":[0.6525243137254901,0.13496485854640142,0.6589209803921569,0.1502678888494317],"dir":"rtl"},{"str":"ول","boundary":[0.6258823529411764,0.13496485854640142,0.6431372549019607,0.1502678888494317],"dir":"rtl"},{"str":"دلخواه","boundary":[0.5827450980392156,0.13496485854640142,0.6208956862745098,0.1502678888494317],"dir":"rtl"},{"str":"باشن","boundary":[0.5533086274509803,0.13496485854640142,0.57761,0.1502678888494317],"dir":"rtl"},{"str":":","boundary":[0.5405882352941175,0.12911545454545442,0.5439099999999999,0.14441848484848474],"dir":"ltr"},{"str":"Hom(M.N){|:MN}=φφ→R","boundary":[0.17784313725490197,0.16720151515151516,0.6859572549019607,0.1865912121212121],"dir":"ltr"},{"str":"یک","boundary":[0.8635294117647059,0.20481334339488633,0.8848774509803923,0.22011637369791665],"dir":"rtl"},{"str":"گروه","boundary":[0.8311764705882354,0.20481334339488633,0.8584327450980394,0.22011637369791665],"dir":"rtl"},{"str":"آبلی","boundary":[0.8009803921568628,0.20481334339488633,0.8259819607843137,0.22011637369791665],"dir":"rtl"},{"str":"است؛","boundary":[0.7641176470588236,0.20481334339488633,0.7957919607843138,0.22011637369791665],"dir":"rtl"},{"str":"پس","boundary":[0.7358823529411765,0.20481334339488633,0.7593101960784314,0.22011637369791665],"dir":"rtl"},{"str":"یک","boundary":[0.709607843137255,0.20481334339488633,0.7309558823529412,0.22011637369791665],"dir":"rtl"},{"str":"-","boundary":[0.6849019607843138,0.19896393939393936,0.6924172549019608,0.21426696969696968],"dir":"ltr"},{"str":"Z","boundary":[0.6925490196078432,0.2012134848484848,0.7047380392156863,0.2165165151515151],"dir":"ltr"},{"str":"م","boundary":[0.6737007843137255,0.20481334339488633,0.6800974509803922,0.22011637369791665],"dir":"rtl"},{"str":"ول","boundary":[0.6470588235294119,0.20481334339488633,0.6643137254901962,0.22011637369791665],"dir":"rtl"},{"str":"است","boundary":[0.6141176470588235,0.20481334339488633,0.6418703921568628,0.22011637369791665],"dir":"rtl"},{"str":"و","boundary":[0.6027450980392157,0.20481334339488633,0.609166274509804,0.22011637369791665],"dir":"rtl"},{"str":"اگر","boundary":[0.5801960784313727,0.20481334339488633,0.5978574509803922,0.22011637369791665],"dir":"rtl"},{"str":"R","boundary":[0.561764705882353,0.2012134848484848,0.5749739215686276,0.2165165151515151],"dir":"ltr"},{"str":"حلقهي","boundary":[0.5147058823529412,0.20481334339488633,0.5566527450980394,0.22011637369791665],"dir":"rtl"},{"str":"جابجایی","boundary":[0.4592156862745099,0.20481334339488633,0.5101456862745098,0.22011637369791665],"dir":"rtl"},{"str":"باش","boundary":[0.4358935294117648,0.20481334339488633,0.4544874509803922,0.22011637369791665],"dir":"rtl"},{"str":"،","boundary":[0.42254901960784325,0.20481334339488633,0.42667784313725504,0.22011637369791665],"dir":"ltr"},{"str":"یک","boundary":[0.3962745098039217,0.20481334339488633,0.41762254901960794,0.22011637369791665],"dir":"rtl"},{"str":"-","boundary":[0.3703921568627452,0.19896393939393936,0.3780864705882354,0.21426696969696968],"dir":"ltr"},{"str":"R","boundary":[0.37803921568627463,0.2012134848484848,0.39151627450980403,0.2165165151515151],"dir":"ltr"},{"str":"م","boundary":[0.35921568627450984,0.20481334339488633,0.3654409803921569,0.22011637369791665],"dir":"rtl"},{"str":"ول","boundary":[0.3325490196078432,0.20481334339488633,0.3500000000000001,0.22011637369791665],"dir":"rtl"},{"str":"است","boundary":[0.2998039215686275,0.20481334339488633,0.3277527450980393,0.22011637369791665],"dir":"rtl"},{"str":".","boundary":[0.2964705882352942,0.19896393939393936,0.2999664705882354,0.21426696969696968],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.24740404533617424,0.884813725490196,0.26270707563920453],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.241539696969697,0.8418286274509804,0.2568427272727273],"dir":"ltr"},{"str":"فرض","boundary":[0.7956862745098039,0.24738910097064395,0.8263823529411765,0.26269213127367425],"dir":"rtl"},{"str":"کنیم","boundary":[0.7613725490196078,0.24738910097064395,0.7907823529411765,0.26269213127367425],"dir":"rtl"},{"str":"N","boundary":[0.7098039215686274,0.2437892424242424,0.7241023529411764,0.2590922727272727],"dir":"ltr"},{"str":"،","boundary":[0.7294117647058823,0.24738910097064395,0.7334517647058824,0.26269213127367425],"dir":"ltr"},{"str":"M","boundary":[0.7384313725490196,0.2437892424242424,0.7560370588235293,0.2590922727272727],"dir":"ltr"},{"str":"دو","boundary":[0.6907843137254902,0.24738910097064395,0.704913725490196,0.26269213127367425],"dir":"rtl"},{"str":"-","boundary":[0.6649019607843136,0.241539696969697,0.672422156862745,0.2568427272727273],"dir":"ltr"},{"str":"R","boundary":[0.6725490196078431,0.2437892424242424,0.6858519607843137,0.2590922727272727],"dir":"ltr"},{"str":"م","boundary":[0.6538968627450978,0.24738910097064395,0.6602935294117646,0.26269213127367425],"dir":"rtl"},{"str":"ول","boundary":[0.6270588235294117,0.24738910097064395,0.6445098039215685,0.26269213127367425],"dir":"rtl"},{"str":"باشن","boundary":[0.597818431372549,0.24738910097064395,0.6221198039215685,0.26269213127367425],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.4919607843137255,0.24250227272727273,0.6044707843137255,0.25887469696969695],"dir":"ltr"},{"str":"و","boundary":[0.5770588235294117,0.24738910097064395,0.5835294117647059,0.26269213127367425],"dir":"rtl"},{"str":"R","boundary":[0.46705882352941175,0.2437892424242424,0.4802680392156863,0.2590922727272727],"dir":"ltr"},{"str":"،","boundary":[0.4852941176470588,0.24738910097064395,0.48933411764705886,0.26269213127367425],"dir":"ltr"},{"str":"همریختی","boundary":[0.38941176470588224,0.24738910097064395,0.4471215686274509,0.26269213127367425],"dir":"rtl"},{"str":"باش","boundary":[0.366053725490196,0.24738910097064395,0.3842554901960783,0.26269213127367425],"dir":"rtl"},{"str":".","boundary":[0.3533333333333333,0.241539696969697,0.3566311764705882,0.2568427272727273],"dir":"ltr"},{"str":"براي","boundary":[0.32196078431372543,0.24738910097064395,0.34829137254901954,0.26269213127367425],"dir":"rtl"},{"str":"هر","boundary":[0.30156862745098034,0.24738910097064395,0.3168374509803921,0.26269213127367425],"dir":"rtl"},{"str":"-","boundary":[0.27568627450980376,0.241539696969697,0.2831127450980391,0.2568427272727273],"dir":"ltr"},{"str":"R","boundary":[0.2833333333333332,0.2437892424242424,0.2965425490196077,0.2590922727272727],"dir":"ltr"},{"str":"م","boundary":[0.2584066666666665,0.24738910097064395,0.27097941176470575,0.26269213127367425],"dir":"rtl"},{"str":"ول","boundary":[0.23176470588235282,0.24738910097064395,0.24901960784313712,0.26269213127367425],"dir":"rtl"},{"str":"مثل","boundary":[0.19627450980392144,0.24738910097064395,0.22679078431372537,0.26269213127367425],"dir":"rtl"},{"str":"،L","boundary":[0.1749019607843136,0.2437892424242424,0.19121745098039203,0.26269213127367425],"dir":"ltr"},{"str":"−","boundary":[0.515686274509804,0.27917272727272735,0.5255898039215687,0.29311212121212127],"dir":"ltr"},{"str":"Z","boundary":[0.5266666666666666,0.2807618181818183,0.5376886274509803,0.2947012121212122],"dir":"ltr"},{"str":"φ=φ(f)of","boundary":[0.5480392156862745,0.2779568181818182,0.624274705882353,0.29432924242424247],"dir":"ltr"},{"str":"،","boundary":[0.6294117647058823,0.28284364642518944,0.6334517647058824,0.29814667672821976],"dir":"ltr"},{"str":":Hom(L,M)Hom(L,N)φ→RR","boundary":[0.6360784313725489,0.2787166666666667,0.9505882352941176,0.29810636363636367],"dir":"ltr"},{"str":"همریختی","boundary":[0.44960784313725494,0.28284364642518944,0.5074803921568628,0.29814667672821976],"dir":"rtl"},{"str":"از","boundary":[0.43509803921568635,0.28284364642518944,0.44426725490196084,0.29814667672821976],"dir":"rtl"},{"str":"Z","boundary":[0.4174509803921569,0.2792437878787879,0.42955117647058827,0.2945468181818182],"dir":"ltr"},{"str":"م","boundary":[0.39075960784313724,0.28284364642518944,0.3971562745098039,0.29814667672821976],"dir":"rtl"},{"str":"ولها","boundary":[0.3509803921568628,0.28284364642518944,0.3813725490196079,0.29814667672821976],"dir":"rtl"},{"str":"است؛","boundary":[0.31392156862745096,0.28284364642518944,0.34597509803921567,0.29814667672821976],"dir":"rtl"},{"str":"اگر","boundary":[0.29117647058823526,0.28284364642518944,0.3088378431372549,0.29814667672821976],"dir":"rtl"},{"str":"R","boundary":[0.2727450980392157,0.2792437878787879,0.28622215686274516,0.2945468181818182],"dir":"ltr"},{"str":"جابجایی","boundary":[0.21705882352941178,0.28284364642518944,0.2679888235294118,0.29814667672821976],"dir":"rtl"},{"str":"فرض","boundary":[0.17490196078431375,0.28284364642518944,0.21177411764705883,0.29814667672821976],"dir":"rtl"},{"str":"شود،","boundary":[0.8556862745098041,0.31723758581912886,0.8847417647058825,0.3325406161221591],"dir":"rtl"},{"str":"-","boundary":[0.829607843137255,0.3113881818181819,0.8370343137254903,0.3266912121212122],"dir":"ltr"},{"str":"R","boundary":[0.8372549019607844,0.3136377272727273,0.8504641176470589,0.32894075757575764],"dir":"ltr"},{"str":"همریختی","boundary":[0.7670588235294119,0.31723758581912886,0.8247686274509805,0.3325406161221591],"dir":"rtl"},{"str":"میشود","boundary":[0.7180392156862747,0.31723758581912886,0.7618915686274511,0.3325406161221591],"dir":"rtl"},{"str":".","boundary":[0.7147058823529413,0.3113881818181819,0.7179339215686276,0.3266912121212122],"dir":"ltr"},{"str":"φ→:MN","boundary":[0.4845098039215686,0.3458386363636364,0.5967586274509804,0.36153590909090916],"dir":"ltr"},{"str":"قضیه","boundary":[0.848823529411765,0.36013131806344695,0.8844194117647061,0.37543434836647727],"dir":"rtl"},{"str":":","boundary":[0.844901960784314,0.35426696969696975,0.8488627450980394,0.36957000000000007],"dir":"ltr"},{"str":"فرض","boundary":[0.8090196078431374,0.36011637369791666,0.8397156862745099,0.375419404000947],"dir":"rtl"},{"str":"کنی","boundary":[0.7842890196078434,0.36011637369791666,0.8038949019607846,0.375419404000947],"dir":"rtl"},{"str":"K","boundary":[0.6947058823529414,0.35651651515151517,0.7090043137254903,0.3718195454545455],"dir":"ltr"},{"str":"،","boundary":[0.7143137254901963,0.36011637369791666,0.7183537254901964,0.375419404000947],"dir":"ltr"},{"str":"N","boundary":[0.7233333333333335,0.35651651515151517,0.7376317647058825,0.3718195454545455],"dir":"ltr"},{"str":"،","boundary":[0.7429411764705884,0.36011637369791666,0.7469811764705885,0.375419404000947],"dir":"ltr"},{"str":"M","boundary":[0.7519607843137257,0.35651651515151517,0.7695664705882355,0.3718195454545455],"dir":"ltr"},{"str":"و","boundary":[0.6833333333333336,0.36011637369791666,0.6897101960784316,0.375419404000947],"dir":"rtl"},{"str":"-","boundary":[0.6574509803921571,0.35426696969696975,0.6648774509803924,0.36957000000000007],"dir":"ltr"},{"str":"R","boundary":[0.6650980392156864,0.35651651515151517,0.678307254901961,0.3718195454545455],"dir":"ltr"},{"str":"م","boundary":[0.6462498039215687,0.36011637369791666,0.6526464705882354,0.375419404000947],"dir":"rtl"},{"str":"ول","boundary":[0.619607843137255,0.36011637369791666,0.6368627450980394,0.375419404000947],"dir":"rtl"},{"str":"باشن","boundary":[0.5901713725490199,0.36011637369791666,0.6144727450980394,0.375419404000947],"dir":"rtl"},{"str":":","boundary":[0.22098039215686277,0.35426696969696975,0.22411999999999999,0.36957000000000007],"dir":"ltr"},{"str":".","boundary":[0.3482352941176471,0.35426696969696975,0.351533137254902,0.36957000000000007],"dir":"ltr"},{"str":"-","boundary":[0.44686274509803925,0.35426696969696975,0.48550529411764715,0.36957000000000007],"dir":"ltr"},{"str":"R","boundary":[0.4543137254901961,0.35651651515151517,0.4987390196078432,0.3718195454545455],"dir":"ltr"},{"str":"ψ→:Nk","boundary":[0.4845098039215686,0.3670507575757576,0.5910498039215687,0.38274803030303034],"dir":"ltr"},{"str":"و","boundary":[0.5694117647058826,0.36011637369791666,0.5757886274509807,0.375419404000947],"dir":"rtl"},{"str":"،","boundary":[0.47274509803921566,0.36011637369791666,0.5080011764705883,0.375419404000947],"dir":"ltr"},{"str":"همریختی","boundary":[0.3841176470588235,0.36011637369791666,0.4419901960784314,0.375419404000947],"dir":"rtl"},{"str":"باش","boundary":[0.3609556862745098,0.36011637369791666,0.3791574509803921,0.375419404000947],"dir":"rtl"},{"str":"شرایط","boundary":[0.3047058823529412,0.36011637369791666,0.34317588235294116,0.375419404000947],"dir":"rtl"},{"str":"زیر","boundary":[0.281764705882353,0.36011637369791666,0.2999007843137255,0.375419404000947],"dir":"rtl"},{"str":"معادلان","boundary":[0.23370078431372548,0.36011637369791666,0.2765043137254902,0.375419404000947],"dir":"rtl"},{"str":"φψ","boundary":[0.7558823529411766,0.3987287878787879,0.887347843137255,0.41054696969696974],"dir":"ltr"},{"str":"0","boundary":[0.6547058823529411,0.4040351515151515,0.6633501960784314,0.4182775757575757],"dir":"ltr"},{"str":"→→→","boundary":[0.6698039215686274,0.40356515151515154,0.8419172549019609,0.4178075757575757],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372549,0.4019942424242425,0.8754386274509804,0.4172972727272728],"dir":"ltr"},{"str":"1MNK","boundary":[0.7182352941176471,0.4019942424242425,0.9194117647058825,0.4194312121212121],"dir":"ltr"},{"str":"دنبالهاي","boundary":[0.6001960784313726,0.40784364642518933,0.6494709803921568,0.42314667672821965],"dir":"rtl"},{"str":"دقیق","boundary":[0.5641176470588235,0.40784364642518933,0.5953011764705882,0.42314667672821965],"dir":"rtl"},{"str":"است","boundary":[0.5311764705882352,0.40784364642518933,0.5589292156862744,0.42314667672821965],"dir":"rtl"},{"str":".","boundary":[0.5280392156862744,0.4019942424242424,0.5313725490196078,0.41729727272727274],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372551,0.43623666666666666,0.8752425490196081,0.451539696969697],"dir":"ltr"},{"str":"2","boundary":[0.8752941176470589,0.43623666666666666,0.8846519607843137,0.451539696969697],"dir":"ltr"},{"str":"به","boundary":[0.853137254901961,0.4420860706676136,0.8645839215686276,0.4573891009706439],"dir":"rtl"},{"str":"ازاي","boundary":[0.8229411764705884,0.4420860706676136,0.8479627450980395,0.4573891009706439],"dir":"rtl"},{"str":"هر","boundary":[0.8027450980392158,0.4420860706676136,0.8180139215686276,0.4573891009706439],"dir":"rtl"},{"str":"-","boundary":[0.7768627450980395,0.43623666666666666,0.7843590196078434,0.451539696969697],"dir":"ltr"},{"str":"R","boundary":[0.7845098039215689,0.4384862121212121,0.797788823529412,0.4537892424242424],"dir":"ltr"},{"str":"م","boundary":[0.7656615686274514,0.4420860706676136,0.772058235294118,0.4573891009706439],"dir":"rtl"},{"str":"ول","boundary":[0.7390196078431376,0.4420860706676136,0.7562745098039219,0.4573891009706439],"dir":"rtl"},{"str":"مثل","boundary":[0.7094117647058826,0.4420860706676136,0.7340649019607847,0.4573891009706439],"dir":"rtl"},{"str":":","boundary":[0.6841176470588238,0.43623666666666666,0.6873456862745101,0.451539696969697],"dir":"ltr"},{"str":"L","boundary":[0.692352941176471,0.4384862121212121,0.7044531372549023,0.4537892424242424],"dir":"ltr"},{"str":"φψ","boundary":[0.3582352941176471,0.47145681818181817,0.6528217647058824,0.4831234848484849],"dir":"ltr"},{"str":"0","boundary":[0.1754901960784314,0.47675818181818186,0.18404254901960784,0.49084909090909096],"dir":"ltr"},{"str":"→→→Hom(L,M)Hom(L,N)Hom(L,K)RRR","boundary":[0.19058823529411764,0.4762931818181818,0.7227450980392157,0.49536257575757575],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.8386274509803922,0.513601222182765,0.8849611764705881,0.5289042524857954],"dir":"rtl"},{"str":"دقیق","boundary":[0.8025490196078432,0.513601222182765,0.8337039215686275,0.5289042524857954],"dir":"rtl"},{"str":"است","boundary":[0.7698039215686274,0.513601222182765,0.7977066666666667,0.5289042524857954],"dir":"rtl"},{"str":".","boundary":[0.7664705882352941,0.5077518181818181,0.7698039215686274,0.5230548484848485],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.5561919241240529,0.884813725490196,0.5714949544270832],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.5503275757575757,0.8420678431372548,0.565630606060606],"dir":"ltr"},{"str":"فرض","boundary":[0.8017647058823529,0.5561769797585226,0.8324607843137255,0.5714800100615529],"dir":"rtl"},{"str":"کنیم","boundary":[0.7672549019607843,0.5561769797585226,0.7966647058823529,0.5714800100615529],"dir":"rtl"},{"str":"M","boundary":[0.7441176470588234,0.5525771212121211,0.7617233333333333,0.5678801515151515],"dir":"ltr"},{"str":"و","boundary":[0.7327450980392157,0.5561769797585226,0.7391219607843138,0.5714800100615529],"dir":"rtl"},{"str":"N","boundary":[0.7131372549019608,0.5525771212121211,0.7274356862745097,0.5678801515151515],"dir":"ltr"},{"str":"دو","boundary":[0.6941176470588235,0.5561769797585226,0.7082470588235295,0.5714800100615529],"dir":"rtl"},{"str":"-","boundary":[0.668235294117647,0.5503275757575757,0.6757554901960784,0.565630606060606],"dir":"ltr"},{"str":"R","boundary":[0.6758823529411765,0.5525771212121211,0.689185294117647,0.5678801515151515],"dir":"ltr"},{"str":"م","boundary":[0.6570588235294117,0.5561769797585226,0.6632841176470587,0.5714800100615529],"dir":"rtl"},{"str":"ول","boundary":[0.6303921568627451,0.5561769797585226,0.647843137254902,0.5714800100615529],"dir":"rtl"},{"str":"باشن","boundary":[0.6011517647058824,0.5561769797585226,0.6256492156862745,0.5714800100615529],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.49529411764705883,0.5512901515151515,0.6078041176470588,0.5676625757575757],"dir":"ltr"},{"str":"و","boundary":[0.5801960784313726,0.5561769797585226,0.5866666666666666,0.5714800100615529],"dir":"rtl"},{"str":"-","boundary":[0.46274509803921565,0.5503275757575757,0.47017156862745096,0.5656306060606061],"dir":"ltr"},{"str":"R","boundary":[0.4703921568627451,0.5525771212121212,0.48360137254901964,0.5678801515151515],"dir":"ltr"},{"str":"،","boundary":[0.4886274509803922,0.5561769797585226,0.4926674509803922,0.571480010061553],"dir":"ltr"},{"str":"همریختی؛","boundary":[0.396078431372549,0.5561769797585226,0.4580686274509803,0.571480010061553],"dir":"rtl"},{"str":"-","boundary":[0.37019607843137253,0.5503275757575757,0.3776225490196078,0.5656306060606061],"dir":"ltr"},{"str":"R","boundary":[0.37784313725490193,0.5525771212121212,0.3910523529411764,0.5678801515151515],"dir":"ltr"},{"str":"م","boundary":[0.3590196078431372,0.5561769797585226,0.36524490196078424,0.571480010061553],"dir":"rtl"},{"str":"ول","boundary":[0.3323529411764706,0.5561769797585226,0.34980392156862744,0.571480010061553],"dir":"rtl"},{"str":"L","boundary":[0.3152941176470588,0.5525771212121212,0.32722294117647055,0.5678801515151515],"dir":"ltr"},{"str":"را","boundary":[0.30098039215686273,0.5561769797585226,0.3101496078431372,0.571480010061553],"dir":"rtl"},{"str":"در","boundary":[0.2823529411764706,0.5561769797585226,0.29581686274509805,0.571480010061553],"dir":"rtl"},{"str":"نظر","boundary":[0.256078431372549,0.5561769797585226,0.27706078431372544,0.571480010061553],"dir":"rtl"},{"str":"بگیریم","boundary":[0.21156862745098032,0.5561769797585226,0.25111156862745093,0.571480010061553],"dir":"rtl"},{"str":":","boundary":[0.20823529411764702,0.5503275757575757,0.21129196078431367,0.5656306060606061],"dir":"ltr"},{"str":"ˆ","boundary":[0.18,0.5900537878787878,0.19254725490196078,0.6044477272727272],"dir":"ltr"},{"str":":Hom(N,L)Hom(M,L)φ→","boundary":[0.1776470588235294,0.5893219696969697,0.4048,0.6053568181818182],"dir":"ltr"},{"str":"ffo→φ","boundary":[0.8021568627450981,0.6232598484848485,0.8872062745098039,0.6396322727272727],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117648,0.6686161665482955,0.8844194117647058,0.6839191968513259],"dir":"rtl"},{"str":":","boundary":[0.8449019607843138,0.6627518181818182,0.8491286274509805,0.6780548484848485],"dir":"ltr"},{"str":"فرض","boundary":[0.8090196078431373,0.6686012221827652,0.8397156862745099,0.6839042524857956],"dir":"rtl"},{"str":"کنی","boundary":[0.7784066666666668,0.6686012221827652,0.804090980392157,0.6839042524857956],"dir":"rtl"},{"str":"-","boundary":[0.6588235294117649,0.6627518181818182,0.6662500000000002,0.6780548484848485],"dir":"ltr"},{"str":"R","boundary":[0.6662745098039218,0.6650013636363638,0.6794837254901964,0.680304393939394],"dir":"ltr"},{"str":"،","boundary":[0.6847058823529414,0.6686012221827652,0.6887458823529414,0.6839042524857956],"dir":"ltr"},{"str":"k","boundary":[0.6937254901960787,0.6650013636363638,0.7036274509803924,0.680304393939394],"dir":"ltr"},{"str":"،","boundary":[0.7086274509803924,0.6686012221827652,0.7126674509803924,0.6839042524857956],"dir":"ltr"},{"str":"N","boundary":[0.7176470588235295,0.6650013636363638,0.7319454901960786,0.680304393939394],"dir":"ltr"},{"str":"،","boundary":[0.7370588235294119,0.6686012221827652,0.7410988235294119,0.6839042524857956],"dir":"ltr"},{"str":"M","boundary":[0.7460784313725491,0.6650013636363638,0.7636841176470589,0.680304393939394],"dir":"ltr"},{"str":"م","boundary":[0.6415439215686277,0.6686012221827652,0.654116666666667,0.6839042524857956],"dir":"rtl"},{"str":"ول","boundary":[0.6147058823529414,0.6686012221827652,0.6321568627450983,0.6839042524857956],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.5184313725490196,0.6637143939393939,0.6305492156862745,0.6800868181818182],"dir":"ltr"},{"str":"و","boundary":[0.6033333333333336,0.6686012221827652,0.6097101960784317,0.6839042524857956],"dir":"rtl"},{"str":"ψ→:Nk","boundary":[0.42411764705882354,0.6637143939393939,0.5306796078431373,0.6800868181818182],"dir":"ltr"},{"str":"و","boundary":[0.5043137254901962,0.6686012221827652,0.5106905882352942,0.6839042524857956],"dir":"rtl"},{"str":"-","boundary":[0.3915686274509804,0.6627518181818182,0.3989950980392157,0.6780548484848485],"dir":"ltr"},{"str":"R","boundary":[0.3990196078431373,0.6650013636363638,0.41222882352941176,0.680304393939394],"dir":"ltr"},{"str":"،","boundary":[0.4174509803921569,0.6686012221827652,0.42149098039215693,0.6839042524857956],"dir":"ltr"},{"str":"همریختی","boundary":[0.32274509803921575,0.6686012221827652,0.3866960784313726,0.6839042524857956],"dir":"rtl"},{"str":"باشن","boundary":[0.287426274509804,0.6686012221827652,0.31780607843137265,0.6839042524857956],"dir":"rtl"},{"str":"،","boundary":[0.27392156862745104,0.6686012221827652,0.2780392156862746,0.6839042524857956],"dir":"ltr"},{"str":"در","boundary":[0.2550980392156863,0.6686012221827652,0.2689211764705883,0.6839042524857956],"dir":"rtl"},{"str":"این","boundary":[0.22431372549019613,0.6686012221827652,0.250231568627451,0.6839042524857956],"dir":"rtl"},{"str":"صورت","boundary":[0.17490196078431375,0.6686012221827652,0.2193425490196079,0.6839042524857956],"dir":"rtl"},{"str":"شرایط","boundary":[0.8462745098039217,0.7042072827888257,0.8847315686274511,0.7195103130918561],"dir":"rtl"},{"str":"زیر","boundary":[0.8229411764705883,0.7042072827888257,0.8412686274509804,0.7195103130918561],"dir":"rtl"},{"str":"معادلان","boundary":[0.7750733333333335,0.7042072827888257,0.8180317647058823,0.7195103130918561],"dir":"rtl"},{"str":".","boundary":[0.7623529411764707,0.6983578787878787,0.7655809803921569,0.7136609090909091],"dir":"ltr"},{"str":"φψ","boundary":[0.716078431372549,0.7334257575757576,0.8471517647058823,0.7452439393939394],"dir":"ltr"},{"str":"0→→→","boundary":[0.6988235294117647,0.7382621212121211,0.8723529411764706,0.7529745454545453],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372549,0.7366912121212121,0.8754386274509804,0.7519942424242424],"dir":"ltr"},{"str":"MNK1","boundary":[0.6784313725490196,0.7366912121212121,0.8846874509803924,0.7541281818181818],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.6245098039215686,0.742540616122159,0.6708435294117647,0.7578436464251894],"dir":"rtl"},{"str":"دقیقی","boundary":[0.5817647058823529,0.742540616122159,0.6196466666666666,0.7578436464251894],"dir":"rtl"},{"str":"از","boundary":[0.5676470588235294,0.742540616122159,0.5768162745098039,0.7578436464251894],"dir":"rtl"},{"str":"-","boundary":[0.5417647058823529,0.7366912121212121,0.5492590196078432,0.7519942424242424],"dir":"ltr"},{"str":"R","boundary":[0.5494117647058824,0.7389407575757576,0.5626888235294117,0.7542437878787879],"dir":"ltr"},{"str":"همریختیها","boundary":[0.46647058823529425,0.742540616122159,0.5368921568627452,0.7578436464251894],"dir":"rtl"},{"str":"است","boundary":[0.43352941176470594,0.742540616122159,0.4614782352941178,0.7578436464251894],"dir":"rtl"},{"str":".","boundary":[0.4301960784313726,0.7366912121212121,0.43342411764705885,0.7519942424242424],"dir":"ltr"},{"str":"(","boundary":[0.8696078431372551,0.7709336363636363,0.8752425490196081,0.7862366666666667],"dir":"ltr"},{"str":"2","boundary":[0.8752941176470589,0.7709336363636363,0.8846539215686275,0.7862366666666667],"dir":"ltr"},{"str":"به","boundary":[0.853137254901961,0.7767830403645833,0.8645839215686276,0.7920860706676136],"dir":"rtl"},{"str":"ازاي","boundary":[0.8229411764705884,0.7767830403645833,0.8479627450980395,0.7920860706676136],"dir":"rtl"},{"str":"هر","boundary":[0.8027450980392158,0.7767830403645833,0.8180139215686276,0.7920860706676136],"dir":"rtl"},{"str":"-","boundary":[0.7768627450980395,0.7709336363636363,0.7843590196078434,0.7862366666666667],"dir":"ltr"},{"str":"R","boundary":[0.7845098039215689,0.7731831818181818,0.797788823529412,0.7884862121212122],"dir":"ltr"},{"str":"م","boundary":[0.7656615686274514,0.7767830403645833,0.772058235294118,0.7920860706676136],"dir":"rtl"},{"str":"ول","boundary":[0.7390196078431376,0.7767830403645833,0.7562745098039219,0.7920860706676136],"dir":"rtl"},{"str":"مثل","boundary":[0.7094117647058826,0.7767830403645833,0.7340649019607847,0.7920860706676136],"dir":"rtl"},{"str":":","boundary":[0.6890196078431375,0.7709336363636363,0.6922476470588238,0.7862366666666667],"dir":"ltr"},{"str":"L","boundary":[0.692352941176471,0.7731831818181818,0.7044531372549023,0.7884862121212122],"dir":"ltr"},{"str":"ψφ","boundary":[0.32529411764705884,0.8060022727272727,0.6209037254901961,0.8176689393939394],"dir":"ltr"},{"str":"ˆˆ","boundary":[0.32803921568627475,0.8065746969696969,0.6233333333333335,0.8182413636363636],"dir":"ltr"},{"str":"0","boundary":[0.1754901960784314,0.8113036363636363,0.18404254901960784,0.8253945454545454],"dir":"ltr"},{"str":"→→→Hom(k,L)Hom(N,L)Hom(M,L)RRR","boundary":[0.18901960784313726,0.8108386363636364,0.6878431372549021,0.8299080303030303],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.8386274509803922,0.8482981918797349,0.8849611764705881,0.8636012221827651],"dir":"rtl"},{"str":"دقیق","boundary":[0.8025490196078432,0.8482981918797349,0.8337039215686275,0.8636012221827651],"dir":"rtl"},{"str":"است","boundary":[0.7698039215686274,0.8482981918797349,0.7977066666666667,0.8636012221827651],"dir":"rtl"},{"str":".","boundary":[0.7664705882352941,0.8424487878787879,0.7698039215686274,0.8577518181818181],"dir":"ltr"}],"boundary":[0.1749,0.06988,0.95059,0.8636],"dir":"ltr","type":"paragraph"},{"words":[{"str":"11","boundary":[0.19803921568627453,0.934610303030303,0.21058823529411763,0.9488527272727273],"dir":"ltr"}],"boundary":[0.19804,0.93461,0.21059,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":11,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/f6c199c9d7493e10bebc859feab6210d.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/f16b5d296484d1626e3af7fe6292817a.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.17162,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"قضیه","boundary":[0.7923529411764706,0.10104040897253778,0.8280692156862746,0.1163434392755681],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.0951760606060605,0.7923921568627451,0.1104790909090908],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764707,0.10102546460700748,0.7830490196078432,0.11632849491003779],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235295,0.10102546460700748,0.7476027450980393,0.11632849491003779],"dir":"rtl"},{"str":"R","boundary":[0.6154901960784315,0.09742560606060596,0.628699411764706,0.11272863636363628],"dir":"ltr"},{"str":"،","boundary":[0.6337254901960786,0.10102546460700748,0.6377654901960786,0.11632849491003779],"dir":"ltr"},{"str":"k","boundary":[0.6427450980392158,0.09742560606060596,0.6526470588235296,0.11272863636363628],"dir":"ltr"},{"str":"،","boundary":[0.6576470588235296,0.10102546460700748,0.6616870588235295,0.11632849491003779],"dir":"ltr"},{"str":"N","boundary":[0.6666666666666667,0.09742560606060596,0.6809650980392158,0.11272863636363628],"dir":"ltr"},{"str":"،","boundary":[0.6862745098039217,0.10102546460700748,0.6903145098039217,0.11632849491003779],"dir":"ltr"},{"str":"M","boundary":[0.6952941176470588,0.09742560606060596,0.7128998039215687,0.11272863636363628],"dir":"ltr"},{"str":"م","boundary":[0.5891909803921569,0.10102546460700748,0.5955876470588235,0.11632849491003779],"dir":"rtl"},{"str":"ول","boundary":[0.5623529411764706,0.10102546460700748,0.5798039215686275,0.11632849491003779],"dir":"rtl"},{"str":"φ→:NK","boundary":[0.46960784313725484,0.0961386363636364,0.5774509803921568,0.11251106060606064],"dir":"ltr"},{"str":"و","boundary":[0.5509803921568628,0.10102546460700748,0.5573572549019609,0.11632849491003779],"dir":"rtl"},{"str":"R","boundary":[0.4447058823529411,0.09742560606060612,0.45791509803921565,0.11272863636363642],"dir":"ltr"},{"str":"،","boundary":[0.46294117647058824,0.10102546460700762,0.46698117647058823,0.11632849491003792],"dir":"ltr"},{"str":"همریختی","boundary":[0.3668627450980393,0.10102546460700762,0.4247639215686275,0.11632849491003792],"dir":"rtl"},{"str":"باشن","boundary":[0.33745098039215693,0.10102546460700762,0.3621233333333334,0.11632849491003792],"dir":"rtl"},{"str":".","boundary":[0.32490196078431377,0.09517606060606064,0.32839588235294126,0.11047909090909096],"dir":"ltr"},{"str":"در","boundary":[0.30607843137254903,0.10102546460700762,0.319901568627451,0.11632849491003792],"dir":"rtl"},{"str":"این","boundary":[0.2813725490196079,0.10102546460700762,0.3008676470588236,0.11632849491003792],"dir":"rtl"},{"str":"صورت","boundary":[0.2380392156862745,0.10102546460700762,0.27612411764705885,0.11632849491003792],"dir":"rtl"},{"str":"شرایط","boundary":[0.1945098039215686,0.10102546460700762,0.23297980392156864,0.11632849491003792],"dir":"rtl"},{"str":"زیر","boundary":[0.17156862745098037,0.10102546460700762,0.18970470588235294,0.11632849491003792],"dir":"rtl"},{"str":"معادلن","boundary":[0.1315439215686274,0.10102546460700762,0.1663360784313725,0.11632849491003792],"dir":"rtl"},{"str":":","boundary":[0.11882352941176466,0.09517606060606064,0.12205156862745094,0.11047909090909096],"dir":"ltr"},{"str":"φψ→→→→MNK","boundary":[0.5521568627450981,0.13160757575757573,0.8015686274509805,0.1523100000000001],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019609,0.13472151515151526,0.8187021568627452,0.15002454545454555],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117648,0.13472151515151526,0.8281115686274511,0.15002454545454555],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.4854901960784313,0.1405709191524621,0.5318239215686273,0.1558739494554924],"dir":"rtl"},{"str":"دقیق","boundary":[0.4494117647058823,0.1405709191524621,0.480595294117647,0.1558739494554924],"dir":"rtl"},{"str":"کوتاه","boundary":[0.41450980392156855,0.1405709191524621,0.4444409803921568,0.1558739494554924],"dir":"rtl"},{"str":"از","boundary":[0.40039215686274504,0.1405709191524621,0.40956137254901953,0.1558739494554924],"dir":"rtl"},{"str":"-","boundary":[0.3745098039215685,0.13472151515151512,0.3820041176470587,0.1500245454545454],"dir":"ltr"},{"str":"R","boundary":[0.3821568627450979,0.13697106060606057,0.3954339215686274,0.1522740909090909],"dir":"ltr"},{"str":"همریختیهاست","boundary":[0.27431372549019595,0.1405709191524621,0.3700050980392156,0.1558739494554924],"dir":"rtl"},{"str":"که","boundary":[0.2537254901960783,0.1405709191524621,0.26935078431372533,0.1558739494554924],"dir":"rtl"},{"str":"شکافته","boundary":[0.20549019607843125,0.1405709191524621,0.24882078431372537,0.1558739494554924],"dir":"rtl"},{"str":"میشود","boundary":[0.15666666666666654,0.1405709191524621,0.200519019607843,0.1558739494554924],"dir":"rtl"},{"str":".","boundary":[0.1533333333333332,0.13472151515151512,0.15663313725490183,0.1500245454545454],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019606,0.16911545454545454,0.8189680392156862,0.18441848484848483],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117645,0.16911545454545454,0.8281813725490194,0.18441848484848483],"dir":"ltr"},{"str":"به","boundary":[0.796470588235294,0.1749648585464015,0.8079172549019606,0.19026788884943183],"dir":"rtl"},{"str":"ازاي","boundary":[0.766470588235294,0.1749648585464015,0.791492156862745,0.19026788884943183],"dir":"rtl"},{"str":"هر","boundary":[0.7460784313725489,0.1749648585464015,0.7613472549019606,0.19026788884943183],"dir":"rtl"},{"str":"-","boundary":[0.7201960784313725,0.16911545454545454,0.7278884313725489,0.18441848484848483],"dir":"ltr"},{"str":"R","boundary":[0.7278431372549019,0.17136499999999996,0.7413182352941176,0.18666803030303028],"dir":"ltr"},{"str":"م","boundary":[0.7091909803921568,0.1749648585464015,0.7155876470588234,0.19026788884943183],"dir":"rtl"},{"str":"ول","boundary":[0.6823529411764705,0.1749648585464015,0.6998039215686274,0.19026788884943183],"dir":"rtl"},{"str":"مثل","boundary":[0.6529411764705881,0.1749648585464015,0.6773982352941176,0.19026788884943183],"dir":"rtl"},{"str":"،K","boundary":[0.6294117647058823,0.17136499999999996,0.6476317647058822,0.19026788884943183],"dir":"ltr"},{"str":"φψ→→→→Hom(L,M)Hom(L,N)Hom(L,k)RRR","boundary":[0.1303921568627451,0.20433560606060605,0.6576470588235294,0.22824136363636363],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.7821568627450981,0.246480010061553,0.8282945098039216,0.26178304036458333],"dir":"rtl"},{"str":"دقیق","boundary":[0.746078431372549,0.246480010061553,0.7772619607843138,0.26178304036458333],"dir":"rtl"},{"str":"کوتاهی","boundary":[0.6970588235294118,0.246480010061553,0.7411123529411765,0.26178304036458333],"dir":"rtl"},{"str":"از","boundary":[0.6829411764705883,0.246480010061553,0.6921103921568628,0.26178304036458333],"dir":"rtl"},{"str":"-","boundary":[0.658235294117647,0.24063060606060604,0.6657296078431372,0.25593363636363636],"dir":"ltr"},{"str":"Z","boundary":[0.6658823529411765,0.24288015151515147,0.6780503921568627,0.2581831818181818],"dir":"ltr"},{"str":"همریختیهاست","boundary":[0.5580392156862745,0.246480010061553,0.6533960784313726,0.26178304036458333],"dir":"rtl"},{"str":"که","boundary":[0.5372549019607843,0.246480010061553,0.5528801960784313,0.26178304036458333],"dir":"rtl"},{"str":"شکافته","boundary":[0.4890196078431372,0.246480010061553,0.5321374509803921,0.26178304036458333],"dir":"rtl"},{"str":"میشود","boundary":[0.4401960784313726,0.246480010061553,0.484048431372549,0.26178304036458333],"dir":"rtl"},{"str":".","boundary":[0.43686274509803924,0.24063060606060604,0.44016254901960783,0.25593363636363636],"dir":"ltr"},{"str":"(","boundary":[0.813137254901961,0.2748730303030303,0.8189680392156865,0.2901760606060606],"dir":"ltr"},{"str":"3","boundary":[0.8188235294117648,0.2748730303030303,0.8283774509803922,0.2901760606060606],"dir":"ltr"},{"str":"به","boundary":[0.7964705882352943,0.28072243430397725,0.807917254901961,0.29602546460700757],"dir":"rtl"},{"str":"ازاي","boundary":[0.7664705882352942,0.28072243430397725,0.7914921568627452,0.29602546460700757],"dir":"rtl"},{"str":"هر","boundary":[0.7460784313725491,0.28072243430397725,0.7613472549019609,0.29602546460700757],"dir":"rtl"},{"str":"R","boundary":[0.7278431372549021,0.2771225757575757,0.7413182352941178,0.292425606060606],"dir":"ltr"},{"str":"م","boundary":[0.7015439215686277,0.28072243430397725,0.7079405882352943,0.29602546460700757],"dir":"rtl"},{"str":"ول","boundary":[0.674901960784314,0.28072243430397725,0.6921568627450982,0.29602546460700757],"dir":"rtl"},{"str":"مثل","boundary":[0.645294117647059,0.28072243430397725,0.6697511764705885,0.29602546460700757],"dir":"rtl"},{"str":"،L","boundary":[0.6241176470588238,0.2771225757575757,0.6403354901960787,0.29602546460700757],"dir":"ltr"},{"str":"ψφ","boundary":[0.2917647058823529,0.3100931818181818,0.5873743137254902,0.32175984848484845],"dir":"ltr"},{"str":"ˆˆ","boundary":[0.29470588235294143,0.310665606060606,0.5896078431372551,0.3223322727272727],"dir":"ltr"},{"str":"→→→→Hom(K,L)Hom(N,L)Hom(M,L)RRR","boundary":[0.1303921568627451,0.31492954545454543,0.6541176470588238,0.3339989393939394],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.7821568627450981,0.35223758581912873,0.8282945098039216,0.36754061612215905],"dir":"rtl"},{"str":"دقیق","boundary":[0.746078431372549,0.35223758581912873,0.7772619607843138,0.36754061612215905],"dir":"rtl"},{"str":"کوتاهی","boundary":[0.6970588235294118,0.35223758581912873,0.7411123529411765,0.36754061612215905],"dir":"rtl"},{"str":"است","boundary":[0.6643137254901961,0.35223758581912873,0.6922625490196078,0.36754061612215905],"dir":"rtl"},{"str":"که","boundary":[0.6437254901960784,0.35223758581912873,0.6593507843137254,0.36754061612215905],"dir":"rtl"},{"str":"شکافته","boundary":[0.5956862745098039,0.35223758581912873,0.6388041176470588,0.36754061612215905],"dir":"rtl"},{"str":"میشود","boundary":[0.5466666666666667,0.35223758581912873,0.5905190196078431,0.36754061612215905],"dir":"rtl"},{"str":".","boundary":[0.5433333333333334,0.34638818181818176,0.5466970588235295,0.3616912121212121],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764706,0.3948282877604166,0.8280692156862746,0.41013131806344694],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.38896393939393936,0.7924619607843139,0.4042669696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764706,0.39481334339488633,0.7830490196078431,0.41011637369791665],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235294,0.39481334339488633,0.7476027450980391,0.41011637369791665],"dir":"rtl"},{"str":"{M}","boundary":[0.6584313725490196,0.39215848484848487,0.7032458823529412,0.40640090909090903],"dir":"ltr"},{"str":"∈","boundary":[0.7,0.39675909090909095,0.7109047058823529,0.40857727272727273],"dir":"ltr"},{"str":"iiI","boundary":[0.6835294117647058,0.3981063636363636,0.7249588235294118,0.40992454545454543],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.5941176470588235,0.39481334339488633,0.6522147058823529,0.41011637369791665],"dir":"rtl"},{"str":"ناتهی","boundary":[0.5570588235294117,0.39481334339488633,0.5893829411764705,0.41011637369791665],"dir":"rtl"},{"str":"از","boundary":[0.5427450980392157,0.39481334339488633,0.5519143137254902,0.41011637369791665],"dir":"rtl"},{"str":"-","boundary":[0.5168627450980391,0.38896393939393936,0.5244172549019607,0.4042669696969697],"dir":"ltr"},{"str":"R","boundary":[0.5245098039215685,0.39121348484848484,0.5378470588235293,0.4065165151515151],"dir":"ltr"},{"str":"م","boundary":[0.5056615686274509,0.39481334339488633,0.5120582352941176,0.41011637369791665],"dir":"rtl"},{"str":"ول","boundary":[0.4790196078431372,0.39481334339488633,0.4962745098039215,0.41011637369791665],"dir":"rtl"},{"str":"باش","boundary":[0.45566156862745094,0.39481334339488633,0.47386333333333325,0.41011637369791665],"dir":"rtl"},{"str":"و","boundary":[0.43490196078431365,0.39481334339488633,0.441406862745098,0.41011637369791665],"dir":"rtl"},{"str":"N","boundary":[0.41529411764705876,0.39121348484848484,0.42959254901960775,0.4065165151515151],"dir":"ltr"},{"str":"را","boundary":[0.40117647058823525,0.39481334339488633,0.41034568627450974,0.41011637369791665],"dir":"rtl"},{"str":"نیز","boundary":[0.3794117647058823,0.39481334339488633,0.39618568627450973,0.41011637369791665],"dir":"rtl"},{"str":"-","boundary":[0.3535294117647058,0.38896393939393936,0.36095588235294107,0.4042669696969697],"dir":"ltr"},{"str":"R","boundary":[0.3611764705882352,0.39121348484848484,0.37438568627450974,0.4065165151515151],"dir":"ltr"},{"str":"م","boundary":[0.3423282352941176,0.39481334339488633,0.34872490196078426,0.41011637369791665],"dir":"rtl"},{"str":"ول","boundary":[0.31568627450980385,0.39481334339488633,0.3329411764705882,0.41011637369791665],"dir":"rtl"},{"str":"فرض","boundary":[0.2798039215686274,0.39481334339488633,0.31049999999999994,0.41011637369791665],"dir":"rtl"},{"str":"کنی","boundary":[0.2552694117647058,0.39481334339488633,0.274875294117647,0.41011637369791665],"dir":"rtl"},{"str":".","boundary":[0.24254901960784309,0.38896393939393936,0.24584686274509798,0.4042669696969697],"dir":"ltr"},{"str":"در","boundary":[0.2239215686274509,0.39481334339488633,0.23774470588235286,0.41011637369791665],"dir":"rtl"},{"str":"این","boundary":[0.19921568627450972,0.39481334339488633,0.21871078431372545,0.41011637369791665],"dir":"rtl"},{"str":"صورت","boundary":[0.15588235294117642,0.39481334339488633,0.19395078431372545,0.41011637369791665],"dir":"rtl"},{"str":":","boundary":[0.15254901960784306,0.38896393939393936,0.15577705882352935,0.4042669696969697],"dir":"ltr"},{"str":")","boundary":[0.23411764705882354,0.4183219696969697,0.24021177134411764,0.4324633992424243],"dir":"ltr"},{"str":"(","boundary":[0.16,0.4186250000000001,0.16609412428529413,0.4327664295454546],"dir":"ltr"},{"str":"∏","boundary":[0.2584313725490196,0.4255174242424242,0.27731196078431375,0.443244696969697],"dir":"ltr"},{"str":"iRiHomM,NHom(M,N)C","boundary":[0.12117647058823529,0.42272454545454546,0.3878764705882353,0.4461366666666667],"dir":"ltr"},{"str":"≅","boundary":[0.24411764705882355,0.42674696969696974,0.25423647058823534,0.44098939393939396],"dir":"ltr"},{"str":"∈","boundary":[0.1707843137254902,0.4450924242424243,0.18168901960784314,0.45691060606060613],"dir":"ltr"},{"str":"iI","boundary":[0.16725490196078432,0.446439696969697,0.1959392156862745,0.4582578787878788],"dir":"ltr"},{"str":"∈","boundary":[0.2619607843137255,0.4449409090909091,0.2728654901960784,0.45675909090909095],"dir":"ltr"},{"str":"iI","boundary":[0.2584313725490196,0.4462881818181818,0.2871156862745098,0.45810636363636364],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764705,0.4792222271543561,0.8280692156862745,0.49452525745738635],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.4733578787878788,0.7938205882352941,0.48866090909090915],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764704,0.47920728278882574,0.783049019607843,0.49451031309185606],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235293,0.47920728278882574,0.747602745098039,0.49451031309185606],"dir":"rtl"},{"str":"-","boundary":[0.660392156862745,0.4733578787878788,0.6678186274509803,0.48866090909090915],"dir":"ltr"},{"str":"R","boundary":[0.6680392156862743,0.47560742424242425,0.6812484313725489,0.49091045454545457],"dir":"ltr"},{"str":"،","boundary":[0.6862745098039215,0.47920728278882574,0.6903145098039215,0.49451031309185606],"dir":"ltr"},{"str":"M","boundary":[0.6952941176470587,0.47560742424242425,0.7128998039215685,0.49091045454545457],"dir":"ltr"},{"str":"م","boundary":[0.6491909803921567,0.47920728278882574,0.6555876470588234,0.49451031309185606],"dir":"rtl"},{"str":"ول","boundary":[0.6225490196078429,0.47920728278882574,0.6398039215686273,0.49451031309185606],"dir":"rtl"},{"str":"باش","boundary":[0.5991909803921567,0.47920728278882574,0.617392745098039,0.49451031309185606],"dir":"rtl"},{"str":"iiI","boundary":[0.5435294117647058,0.4826518181818182,0.5855470588235294,0.49447],"dir":"ltr"},{"str":"و","boundary":[0.5784313725490194,0.47920728278882574,0.5848082352941175,0.49451031309185606],"dir":"rtl"},{"str":"{N}","boundary":[0.5207843137254903,0.47670393939393946,0.5633827450980393,0.4909463636363636],"dir":"ltr"},{"str":"∈","boundary":[0.5601960784313725,0.48130454545454554,0.5711007843137255,0.4931227272727273],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.4566666666666666,0.47920728278882574,0.514763725490196,0.49451031309185606],"dir":"rtl"},{"str":"ناتهی","boundary":[0.41960784313725485,0.47920728278882574,0.4515398039215686,0.49451031309185606],"dir":"rtl"},{"str":"از","boundary":[0.4052941176470588,0.47920728278882574,0.4144633333333333,0.49451031309185606],"dir":"rtl"},{"str":"R","boundary":[0.38705882352941173,0.47560742424242425,0.4003960784313725,0.49091045454545457],"dir":"ltr"},{"str":"م","boundary":[0.37565980392156856,0.47920728278882574,0.3820564705882352,0.49451031309185606],"dir":"rtl"},{"str":"ولها","boundary":[0.33627450980392154,0.47920728278882574,0.36627274509803914,0.49451031309185606],"dir":"rtl"},{"str":"در","boundary":[0.3174509803921568,0.47920728278882574,0.3312741176470588,0.49451031309185606],"dir":"rtl"},{"str":"این","boundary":[0.2927450980392156,0.47920728278882574,0.3126339215686274,0.49451031309185606],"dir":"rtl"},{"str":"صورت","boundary":[0.24941176470588228,0.47920728278882574,0.2873331372549019,0.49451031309185606],"dir":"rtl"},{"str":":","boundary":[0.24607843137254895,0.4733578787878788,0.24930647058823524,0.48866090909090915],"dir":"ltr"},{"str":"(","boundary":[0.17352941176470588,0.5033234848484849,0.17961400735294117,0.5174428030303031],"dir":"ltr"},{"str":")∏∏","boundary":[0.20450980392156862,0.5030204545454545,0.3347058823529412,0.5277901515151515],"dir":"ltr"},{"str":"HomMNHom(M,N)RiRi","boundary":[0.12098039215686275,0.5129160606060605,0.4385603921568627,0.5306821212121212],"dir":"ltr"},{"str":"≅","boundary":[0.2535294117647059,0.5112924242424242,0.31784156862745094,0.5255348484848484],"dir":"ltr"},{"str":"ZiIiI","boundary":[0.20431372549019608,0.5268942424242424,0.29848823529411767,0.5426518181818182],"dir":"ltr"},{"str":"∈∈","boundary":[0.2080392156862745,0.5294863636363637,0.3382352941176471,0.5413045454545455],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196077,0.5675555604876894,0.8279582352941176,0.5828585907907198],"dir":"rtl"},{"str":":","boundary":[0.7813725490196078,0.5616912121212122,0.7853333333333333,0.5769942424242425],"dir":"ltr"},{"str":"فرض","boundary":[0.7454901960784314,0.5675406161221591,0.7758035294117647,0.5828436464251895],"dir":"rtl"},{"str":"کنی","boundary":[0.7207596078431373,0.5675406161221591,0.7403654901960786,0.5828436464251895],"dir":"rtl"},{"str":"R","boundary":[0.6929411764705883,0.5639407575757577,0.7059590196078432,0.5792437878787879],"dir":"ltr"},{"str":"و","boundary":[0.681372549019608,0.5675406161221591,0.6875580392156864,0.5828436464251895],"dir":"rtl"},{"str":"S","boundary":[0.6649019607843139,0.5639407575757577,0.6757215686274511,0.5792437878787879],"dir":"ltr"},{"str":"دو","boundary":[0.6456862745098041,0.5675406161221591,0.6598156862745099,0.5828436464251895],"dir":"rtl"},{"str":"حلقه","boundary":[0.6111764705882354,0.5675406161221591,0.6403949019607844,0.5828436464251895],"dir":"rtl"},{"str":"باشن","boundary":[0.5817400000000001,0.5675406161221591,0.6060413725490198,0.5828436464251895],"dir":"rtl"},{"str":"M","boundary":[0.5494117647058825,0.5639407575757577,0.5671111764705884,0.5792437878787879],"dir":"ltr"},{"str":"را","boundary":[0.5349019607843138,0.5675406161221591,0.5440711764705883,0.5828436464251895],"dir":"rtl"},{"str":"(RS)","boundary":[0.4803921568627451,0.5643292424242424,0.5316409803921569,0.5790262121212121],"dir":"ltr"},{"str":"−−","boundary":[0.46980392156862744,0.5626537878787878,0.5372549019607843,0.5773507575757576],"dir":"ltr"},{"str":"دو","boundary":[0.44784313725490205,0.5675406161221591,0.4619725490196079,0.5828436464251894],"dir":"rtl"},{"str":"م","boundary":[0.43605372549019605,0.5675406161221591,0.4424503921568627,0.5828436464251894],"dir":"rtl"},{"str":"ول","boundary":[0.40941176470588236,0.5675406161221591,0.4266666666666667,0.5828436464251894],"dir":"rtl"},{"str":"گوین","boundary":[0.37899490196078434,0.5675406161221591,0.4040943137254902,0.5828436464251894],"dir":"rtl"},{"str":"ه","boundary":[0.36333333333333334,0.5675406161221591,0.3696078431372549,0.5828436464251894],"dir":"rtl"},{"str":"هرگاه","boundary":[0.32450980392156864,0.5675406161221591,0.3578629411764706,0.5828436464251894],"dir":"rtl"},{"str":"−","boundary":[0.2762745098039216,0.5638704545454546,0.28607039215686275,0.5776583333333334],"dir":"ltr"},{"str":"RM","boundary":[0.28705882352941176,0.5654422727272728,0.3157258823529412,0.5792301515151516],"dir":"ltr"},{"str":"م","boundary":[0.2619078431372549,0.5675406161221591,0.26830450980392156,0.5828436464251894],"dir":"rtl"},{"str":"ول","boundary":[0.23529411764705882,0.5675406161221591,0.2525207843137255,0.5828436464251894],"dir":"rtl"},{"str":"چپ","boundary":[0.19941176470588234,0.5675406161221591,0.23053039215686275,0.5828436464251894],"dir":"rtl"},{"str":"و","boundary":[0.18803921568627452,0.5675406161221591,0.19441607843137254,0.5828436464251894],"dir":"rtl"},{"str":"−","boundary":[0.16568627450980394,0.5629575757575758,0.17602039215686274,0.5775030303030303],"dir":"ltr"},{"str":"S","boundary":[0.17588235294117646,0.5646157575757575,0.18634823529411765,0.5791612121212121],"dir":"ltr"},{"str":"م","boundary":[0.14507333333333333,0.5675406161221591,0.15764607843137254,0.5828436464251894],"dir":"rtl"},{"str":"ول","boundary":[0.11843137254901961,0.5675406161221591,0.13568627450980394,0.5828436464251894],"dir":"rtl"},{"str":"راست","boundary":[0.7941176470588235,0.6031466767282196,0.8281888235294118,0.61844970703125],"dir":"rtl"},{"str":"باش","boundary":[0.7707843137254903,0.6031466767282196,0.7893782352941177,0.61844970703125],"dir":"rtl"},{"str":"،","boundary":[0.7574509803921569,0.6031466767282196,0.7615686274509804,0.61844970703125],"dir":"ltr"},{"str":"به","boundary":[0.7407843137254903,0.6031466767282196,0.7526564705882354,0.61844970703125],"dir":"rtl"},{"str":"طوري","boundary":[0.699607843137255,0.6031466767282196,0.7357380392156863,0.61844970703125],"dir":"rtl"},{"str":"که","boundary":[0.6788235294117647,0.6031466767282196,0.6948743137254902,0.61844970703125],"dir":"rtl"},{"str":"براي","boundary":[0.6474509803921569,0.6031466767282196,0.6736249019607843,0.61844970703125],"dir":"rtl"},{"str":"هر","boundary":[0.6270588235294118,0.6031466767282196,0.6423276470588235,0.61844970703125],"dir":"rtl"},{"str":":","boundary":[0.537843137254902,0.5972972727272727,0.5410711764705882,0.612600303030303],"dir":"ltr"},{"str":"∈","boundary":[0.5531372549019608,0.5985636363636363,0.5665584313725489,0.6131090909090908],"dir":"ltr"},{"str":"،sS","boundary":[0.5435294117647058,0.6002218181818182,0.596084705882353,0.61844970703125],"dir":"ltr"},{"str":"∈","boundary":[0.596078431372549,0.5994765151515151,0.6088005882352941,0.6132643939393939],"dir":"ltr"},{"str":"rR","boundary":[0.5872549019607842,0.6010483333333333,0.6418419607843137,0.6148362121212122],"dir":"ltr"},{"str":"=","boundary":[0.16215686274509802,0.6346234848484847,0.1725986274509804,0.6493204545454545],"dir":"ltr"},{"str":"r(xs)(rx)s","boundary":[0.12117647058823529,0.6362989393939393,0.21224156862745097,0.6509959090909091],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764705,0.6799798029119319,0.8280692156862745,0.6952828332149622],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.6741154545454546,0.7924619607843137,0.6894184848484849],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764706,0.6799648585464015,0.782666274509804,0.6952678888494319],"dir":"rtl"},{"str":"کنی","boundary":[0.7274262745098039,0.6799648585464015,0.7470321568627452,0.6952678888494319],"dir":"rtl"},{"str":"R","boundary":[0.6994117647058824,0.6763650000000001,0.7124296078431374,0.6916680303030304],"dir":"ltr"},{"str":"و","boundary":[0.6876470588235295,0.6799648585464015,0.6938325490196079,0.6952678888494319],"dir":"rtl"},{"str":"S","boundary":[0.6709803921568628,0.6763650000000001,0.6818000000000001,0.6916680303030304],"dir":"ltr"},{"str":"دو","boundary":[0.6515686274509805,0.6799648585464015,0.6656980392156865,0.6952678888494319],"dir":"rtl"},{"str":"حلقه","boundary":[0.6170588235294119,0.6799648585464015,0.6460645098039217,0.6952678888494319],"dir":"rtl"},{"str":"باشن","boundary":[0.5872301960784315,0.6799648585464015,0.6115315686274511,0.6952678888494319],"dir":"rtl"},{"str":"M","boundary":[0.5505882352941178,0.6763650000000001,0.5682876470588237,0.6916680303030304],"dir":"ltr"},{"str":"،","boundary":[0.5739215686274511,0.6799648585464015,0.577843137254902,0.6952678888494319],"dir":"ltr"},{"str":"یک","boundary":[0.5241176470588237,0.6799648585464015,0.5450735294117649,0.6952678888494319],"dir":"rtl"},{"str":"(RS)","boundary":[0.4694117647058823,0.6767534848484847,0.520660588235294,0.6914504545454545],"dir":"ltr"},{"str":"−−","boundary":[0.45882352941176474,0.6750780303030303,0.5262745098039217,0.6897749999999999],"dir":"ltr"},{"str":"دو","boundary":[0.43686274509803924,0.6799648585464015,0.45099215686274513,0.6952678888494319],"dir":"rtl"},{"str":"م","boundary":[0.425269411764706,0.6799648585464015,0.43166607843137267,0.6952678888494319],"dir":"rtl"},{"str":"ول","boundary":[0.3986274509803922,0.6799648585464015,0.41588235294117654,0.6952678888494319],"dir":"rtl"},{"str":"باش","boundary":[0.37507333333333337,0.6799648585464015,0.3932750980392157,0.6952678888494319],"dir":"rtl"},{"str":"و","boundary":[0.35411764705882354,0.6799648585464015,0.36049450980392156,0.6952678888494319],"dir":"rtl"},{"str":"N","boundary":[0.33450980392156865,0.6763650000000001,0.34890196078431374,0.6916680303030304],"dir":"ltr"},{"str":"هم","boundary":[0.31137254901960787,0.6799648585464015,0.32923372549019614,0.6952678888494319],"dir":"rtl"},{"str":"-","boundary":[0.28529411764705886,0.6741154545454546,0.29275921568627455,0.6894184848484849],"dir":"ltr"},{"str":"R","boundary":[0.29294117647058826,0.6763650000000001,0.30618901960784317,0.6916680303030304],"dir":"ltr"},{"str":"م","boundary":[0.2738968627450981,0.6799648585464015,0.2802935294117648,0.6952678888494319],"dir":"rtl"},{"str":"ول","boundary":[0.2472549019607844,0.6799648585464015,0.2645098039215687,0.6952678888494319],"dir":"rtl"},{"str":"چپ","boundary":[0.21137254901960792,0.6799648585464015,0.24222450980392166,0.6952678888494319],"dir":"rtl"},{"str":"باش","boundary":[0.18174000000000004,0.6799648585464015,0.20602019607843142,0.6952678888494319],"dir":"rtl"},{"str":"،","boundary":[0.16843137254901966,0.6799648585464015,0.17235294117647065,0.6952678888494319],"dir":"ltr"},{"str":"در","boundary":[0.14941176470588238,0.6799648585464015,0.16323490196078436,0.6952678888494319],"dir":"rtl"},{"str":"این","boundary":[0.11843137254901966,0.6799648585464015,0.14402137254901967,0.6952678888494319],"dir":"rtl"},{"str":"صورت","boundary":[0.7898039215686276,0.7155709191524621,0.8277252941176472,0.7308739494554924],"dir":"rtl"},{"str":"Hom(M,N)","boundary":[0.6980392156862745,0.7123595454545455,0.7871045098039215,0.7270565151515151],"dir":"ltr"},{"str":"یک","boundary":[0.6692156862745098,0.7155709191524623,0.690171568627451,0.7308739494554926],"dir":"rtl"},{"str":"−","boundary":[0.6466666666666666,0.710987878787879,0.6570007843137254,0.7255333333333335],"dir":"ltr"},{"str":"S","boundary":[0.6568627450980392,0.7126460606060607,0.6673286274509804,0.7271915151515153],"dir":"ltr"},{"str":"م","boundary":[0.6323282352941176,0.7155709191524623,0.6387249019607842,0.7308739494554926],"dir":"rtl"},{"str":"ول","boundary":[0.6054901960784314,0.7155709191524623,0.6229411764705882,0.7308739494554926],"dir":"rtl"},{"str":"چپ","boundary":[0.5758823529411765,0.7155709191524623,0.6007194117647059,0.7308739494554926],"dir":"rtl"},{"str":"است","boundary":[0.5431372549019607,0.7155709191524623,0.5710860784313726,0.7308739494554926],"dir":"rtl"},{"str":".","boundary":[0.5398039215686273,0.7097215151515153,0.5430319607843136,0.7250245454545455],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764705,0.7510404089725379,0.8280692156862745,0.7663434392755683],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.7451760606060606,0.792392156862745,0.7604790909090909],"dir":"ltr"},{"str":"فرض","boundary":[0.7464705882352941,0.7510254646070076,0.7833427450980391,0.766328494910038],"dir":"rtl"},{"str":"کنی","boundary":[0.7158576470588235,0.7510254646070076,0.7415419607843137,0.766328494910038],"dir":"rtl"},{"str":"S","boundary":[0.653921568627451,0.7474256060606062,0.6650980392156862,0.7627286363636364],"dir":"ltr"},{"str":",","boundary":[0.6741176470588235,0.7474256060606062,0.6792156862745098,0.7627286363636364],"dir":"ltr"},{"str":"R","boundary":[0.6882352941176471,0.7474256060606062,0.705513137254902,0.7627286363636364],"dir":"ltr"},{"str":"دو","boundary":[0.6349019607843138,0.7510254646070076,0.6490313725490197,0.766328494910038],"dir":"rtl"},{"str":"حلقه","boundary":[0.5945098039215687,0.7510254646070076,0.6299860784313726,0.766328494910038],"dir":"rtl"},{"str":"باشن","boundary":[0.5589949019607844,0.7510254646070076,0.5897668627450982,0.766328494910038],"dir":"rtl"},{"str":"R","boundary":[0.5011764705882354,0.7474256060606062,0.514479411764706,0.7627286363636364],"dir":"ltr"},{"str":"،M","boundary":[0.5194117647058826,0.7474256060606062,0.5412288235294119,0.766328494910038],"dir":"ltr"},{"str":".","boundary":[0.5464705882352942,0.7451760606060606,0.5499645098039215,0.7604790909090909],"dir":"ltr"},{"str":"م","boundary":[0.4687988235294118,0.7510254646070076,0.48137156862745106,0.766328494910038],"dir":"rtl"},{"str":"ول","boundary":[0.4421568627450982,0.7510254646070076,0.45941176470588246,0.766328494910038],"dir":"rtl"},{"str":"چپ","boundary":[0.4062745098039217,0.7510254646070076,0.4371829411764707,0.766328494910038],"dir":"rtl"},{"str":"باش","boundary":[0.37703411764705896,0.7510254646070076,0.40151039215686285,0.766328494910038],"dir":"rtl"},{"str":"و","boundary":[0.35607843137254913,0.7510254646070076,0.3576231372549021,0.766328494910038],"dir":"rtl"},{"str":"−","boundary":[0.31,0.7461386363636363,0.32044176470588237,0.760835606060606],"dir":"ltr"},{"str":"(RS)N","boundary":[0.28725490196078435,0.7478140909090908,0.35386921568627455,0.7625110606060606],"dir":"ltr"},{"str":"دو","boundary":[0.265686274509804,0.7510254646070076,0.27982352941176475,0.766328494910038],"dir":"rtl"},{"str":"م","boundary":[0.24821058823529416,0.7510254646070076,0.26078333333333337,0.766328494910038],"dir":"rtl"},{"str":"ول،","boundary":[0.21745098039215688,0.7510254646070076,0.23882352941176474,0.766328494910038],"dir":"rtl"},{"str":"در","boundary":[0.1986274509803922,0.7510254646070076,0.21245058823529414,0.766328494910038],"dir":"rtl"},{"str":"این","boundary":[0.167843137254902,0.7510254646070076,0.1934001960784314,0.766328494910038],"dir":"rtl"},{"str":"صورت","boundary":[0.11843137254901961,0.7510254646070076,0.1626758823529412,0.766328494910038],"dir":"rtl"},{"str":"Hom(M,N)","boundary":[0.7364705882352942,0.7832686363636364,0.8255358823529413,0.7979656060606062],"dir":"ltr"},{"str":"یک","boundary":[0.7074509803921569,0.7864800100615531,0.7287990196078432,0.8017830403645835],"dir":"rtl"},{"str":"−","boundary":[0.6850980392156862,0.7818969696969698,0.6954321568627451,0.7964424242424243],"dir":"ltr"},{"str":"S","boundary":[0.6950980392156862,0.7835551515151515,0.7055639215686275,0.7981006060606061],"dir":"ltr"},{"str":"م","boundary":[0.6705635294117648,0.7864800100615531,0.6769601960784315,0.8017830403645835],"dir":"rtl"},{"str":"ول","boundary":[0.6439215686274511,0.7864800100615531,0.6611764705882354,0.8017830403645835],"dir":"rtl"},{"str":"راست","boundary":[0.6049019607843138,0.7864800100615531,0.638756274509804,0.8017830403645835],"dir":"rtl"},{"str":"است","boundary":[0.5670588235294118,0.7864800100615531,0.5950076470588235,0.8017830403645835],"dir":"rtl"},{"str":".","boundary":[0.5637254901960784,0.7806306060606061,0.5669535294117647,0.7959336363636365],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764706,0.8219494998816289,0.8280692156862746,0.8372525301846593],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.8160851515151516,0.7924619607843139,0.831388181818182],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764707,0.8219345555160986,0.7830490196078432,0.8372375858191289],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235295,0.8219345555160986,0.7476027450980393,0.8372375858191289],"dir":"rtl"},{"str":"R","boundary":[0.6680392156862746,0.8183346969696971,0.6812484313725491,0.8336377272727274],"dir":"ltr"},{"str":"،","boundary":[0.6862745098039217,0.8219345555160986,0.6903145098039217,0.8372375858191289],"dir":"ltr"},{"str":"M","boundary":[0.6952941176470588,0.8183346969696971,0.7128998039215687,0.8336377272727274],"dir":"ltr"},{"str":"م","boundary":[0.6415686274509804,0.8219345555160986,0.6477939215686276,0.8372375858191289],"dir":"rtl"},{"str":"ول","boundary":[0.6149019607843138,0.8219345555160986,0.6323529411764707,0.8372375858191289],"dir":"rtl"},{"str":"باش","boundary":[0.59174,0.8219345555160986,0.6101378431372549,0.8372375858191289],"dir":"rtl"},{"str":".","boundary":[0.5790196078431373,0.8160851515151516,0.5823174509803922,0.831388181818182],"dir":"ltr"},{"str":"در","boundary":[0.5601960784313726,0.8219345555160986,0.5740192156862746,0.8372375858191289],"dir":"rtl"},{"str":"این","boundary":[0.5354901960784314,0.8219345555160986,0.5553790196078432,0.8372375858191289],"dir":"rtl"},{"str":"صورت","boundary":[0.4921568627450981,0.8219345555160986,0.5300782352941177,0.8372375858191289],"dir":"rtl"},{"str":"≅","boundary":[0.4580392156862745,0.8176560606060606,0.4681580392156863,0.8318984848484847],"dir":"ltr"},{"str":"RRHom(R,M)M","boundary":[0.33941176470588236,0.8192796969696969,0.5215945098039215,0.8370457575757577],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.82838,0.83725],"dir":"ltr","type":"paragraph"},{"words":[{"str":"12","boundary":[0.14019607843137255,0.9332466666666668,0.15536235294117648,0.947489090909091],"dir":"ltr"}],"boundary":[0.1402,0.93325,0.15536,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":12,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/d267af4b8d3f1adb06320b5ff6b6f50e.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/e4ecd193825aee28b630062174a4c830.jpg"},"info":{"width":612,"height":792,"margin":[0.17471,0.06988,0.10909,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"},{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"},{"str":"×","boundary":[0.5319607843137255,0.09312272727272723,0.5403572549019608,0.10494090909090904],"dir":"ltr"},{"str":"MN","boundary":[0.5180392156862745,0.09446999999999996,0.5617596078431373,0.10628818181818178],"dir":"ltr"},{"str":"N","boundary":[0.7137254901960783,0.09772863636363642,0.7280239215686274,0.11303166666666674],"dir":"ltr"},{"str":"M","boundary":[0.7447058823529411,0.09772863636363642,0.7623115686274509,0.11303166666666674],"dir":"ltr"},{"str":":","boundary":[0.8380392156862745,0.09547909090909096,0.842,0.11078212121212126],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.10134343927556826,0.884813725490196,0.11664646957859856],"dir":"rtl"},{"str":"فرض","boundary":[0.8017647058823528,0.10132849491003794,0.8324607843137254,0.11663152521306824],"dir":"rtl"},{"str":"کنی","boundary":[0.7770341176470588,0.10132849491003794,0.79664,0.11663152521306824],"dir":"rtl"},{"str":"و","boundary":[0.7333333333333333,0.10132849491003794,0.7397101960784314,0.11663152521306824],"dir":"rtl"},{"str":"دو","boundary":[0.6947058823529412,0.10132849491003794,0.708835294117647,0.11663152521306824],"dir":"rtl"},{"str":"مجموعهي","boundary":[0.6282352941176471,0.10132849491003794,0.689711568627451,0.11663152521306824],"dir":"rtl"},{"str":"ناتهی","boundary":[0.5911764705882353,0.10132849491003794,0.6235005882352941,0.11663152521306824],"dir":"rtl"},{"str":"باش","boundary":[0.5680145098039217,0.10132849491003794,0.5864123529411764,0.11663152521306824],"dir":"rtl"},{"str":"Z","boundary":[0.5066666666666666,0.09867363636363644,0.5179282352941177,0.11291606060606067],"dir":"ltr"},{"str":".","boundary":[0.5552941176470588,0.09547909090909096,0.5586158823529411,0.11078212121212126],"dir":"ltr"},{"str":"را","boundary":[0.48921568627450984,0.10132849491003794,0.4983849019607844,0.11663152521306824],"dir":"rtl"},{"str":"به","boundary":[0.47274509803921577,0.10132849491003794,0.48419176470588243,0.11663152521306824],"dir":"rtl"},{"str":"صورت","boundary":[0.42941176470588244,0.10132849491003794,0.4674713725490197,0.11663152521306824],"dir":"rtl"},{"str":"زیر","boundary":[0.40627450980392166,0.10132849491003794,0.4242098039215687,0.11663152521306824],"dir":"rtl"},{"str":"تعریف","boundary":[0.363921568627451,0.10132849491003794,0.40154019607843144,0.11663152521306824],"dir":"rtl"},{"str":"میکنیم","boundary":[0.3105882352941177,0.10132849491003794,0.3589503921568628,0.11663152521306824],"dir":"rtl"},{"str":":","boundary":[0.3072549019607844,0.09547909090909096,0.3104829411764707,0.11078212121212126],"dir":"ltr"},{"str":"t","boundary":[0.24490196078431373,0.13492454545454552,0.8096078431372549,0.1509901515151515],"dir":"ltr"},{"str":"","boundary":[0.24490196078431373,0.13402045454545455,0.8096078431372549,0.14811136363636365],"dir":"ltr"},{"str":"×","boundary":[0.20372549019607844,0.1410015151515152,0.21212196078431375,0.15281969696969702],"dir":"ltr"},{"str":"MN","boundary":[0.18980392156862755,0.14234878787878794,0.2339164705882354,0.15416696969696975],"dir":"ltr"},{"str":"∑","boundary":[0.2550980392156863,0.14354772727272722,0.2714550980392157,0.16127499999999995],"dir":"ltr"},{"str":"Zn(x,y)|nZ,xM,yNiiiiii","boundary":[0.17823529411764705,0.14668742424242423,0.5545098039215688,0.1641669696969697],"dir":"ltr"},{"str":"=∈∈∈","boundary":[0.23058823529411765,0.1450810606060606,0.5627450980392157,0.1591719696969697],"dir":"ltr"},{"str":"","boundary":[0.24490196078431373,0.147505303030303,0.8096078431372549,0.16159621212121206],"dir":"ltr"},{"str":"=","boundary":[0.25941176470588234,0.16281969696969698,0.2678082352941176,0.1746378787878788],"dir":"ltr"},{"str":"1i","boundary":[0.24490196078431373,0.1587174242424242,0.8096078431372549,0.17598515151515154],"dir":"ltr"},{"str":"","boundary":[0.24490196078431373,0.16083863636363638,0.8096078431372549,0.17492954545454548],"dir":"ltr"},{"str":"×","boundary":[0.8382352941176471,0.1913045454545454,0.8466317647058824,0.2031227272727272],"dir":"ltr"},{"str":"MN","boundary":[0.8243137254901961,0.19265181818181812,0.8680341176470588,0.20446999999999996],"dir":"ltr"},{"str":"پس","boundary":[0.8615686274509804,0.19935879794034098,0.8849964705882353,0.21466182824337127],"dir":"rtl"},{"str":"Z","boundary":[0.8129411764705882,0.1968554545454546,0.8242027450980393,0.21109787878787883],"dir":"ltr"},{"str":"یک","boundary":[0.7835294117647059,0.19935879794034098,0.8048774509803922,0.21466182824337127],"dir":"rtl"},{"str":"-","boundary":[0.7588235294117648,0.19350939393939398,0.7663388235294119,0.2088124242424243],"dir":"ltr"},{"str":"Z","boundary":[0.7664705882352942,0.19575893939393943,0.7786596078431373,0.21106196969696972],"dir":"ltr"},{"str":"م","boundary":[0.7476223529411765,0.19935879794034098,0.7540190196078432,0.21466182824337127],"dir":"rtl"},{"str":"ول","boundary":[0.7209803921568628,0.19935879794034098,0.7382352941176472,0.21466182824337127],"dir":"rtl"},{"str":"است","boundary":[0.6880392156862746,0.19935879794034098,0.7157919607843138,0.21466182824337127],"dir":"rtl"},{"str":".","boundary":[0.6847058823529412,0.19350939393939398,0.6880227450980393,0.2088124242424243],"dir":"ltr"},{"str":"×","boundary":[0.46058823529411763,0.23691060606060602,0.46898470588235297,0.2487287878787878],"dir":"ltr"},{"str":"MN","boundary":[0.4466666666666667,0.2382578787878787,0.4911713725490196,0.2500760606060606],"dir":"ltr"},{"str":":","boundary":[0.8380392156862747,0.2391154545454546,0.8420698039215688,0.2544184848484849],"dir":"ltr"},{"str":"تعری","boundary":[0.8580237254901962,0.2449798029119319,0.8848137254901962,0.2602828332149622],"dir":"rtl"},{"str":"فرض","boundary":[0.8017647058823532,0.24496485854640157,0.8324607843137257,0.26026788884943186],"dir":"rtl"},{"str":"کنی","boundary":[0.7768627450980394,0.24496485854640157,0.7966435294117649,0.26026788884943186],"dir":"rtl"},{"str":"-","boundary":[0.7086274509803924,0.2391154545454546,0.7160539215686277,0.2544184848484849],"dir":"ltr"},{"str":"R","boundary":[0.7162745098039218,0.24136500000000002,0.7294837254901964,0.25666803030303037],"dir":"ltr"},{"str":"،","boundary":[0.7349019607843139,0.24496485854640157,0.738941960784314,0.26026788884943186],"dir":"ltr"},{"str":"M","boundary":[0.7443137254901963,0.24136500000000002,0.761919411764706,0.25666803030303037],"dir":"ltr"},{"str":"م","boundary":[0.6970588235294118,0.24496485854640157,0.703284117647059,0.26026788884943186],"dir":"rtl"},{"str":"ول","boundary":[0.6703921568627452,0.24496485854640157,0.6878431372549021,0.26026788884943186],"dir":"rtl"},{"str":"راست","boundary":[0.6311764705882354,0.24496485854640157,0.6652476470588237,0.26026788884943186],"dir":"rtl"},{"str":"و","boundary":[0.619607843137255,0.24496485854640157,0.6259847058823531,0.26026788884943186],"dir":"rtl"},{"str":"-","boundary":[0.5645098039215688,0.2391154545454546,0.5717649019607844,0.2544184848484849],"dir":"ltr"},{"str":"R","boundary":[0.5721568627450982,0.24136500000000002,0.5851947058823531,0.25666803030303037],"dir":"ltr"},{"str":"،","boundary":[0.5905882352941179,0.24496485854640157,0.5944568627450982,0.26026788884943186],"dir":"ltr"},{"str":"N","boundary":[0.5998039215686276,0.24136500000000002,0.613930980392157,0.25666803030303037],"dir":"ltr"},{"str":"م","boundary":[0.5531125490196079,0.24496485854640157,0.5595092156862747,0.26026788884943186],"dir":"rtl"},{"str":"ول","boundary":[0.5264705882352942,0.24496485854640157,0.5437254901960786,0.26026788884943186],"dir":"rtl"},{"str":"چپ","boundary":[0.4966666666666668,0.24496485854640157,0.5215037254901963,0.26026788884943186],"dir":"rtl"},{"str":"و","boundary":[0.48509803921568645,0.24496485854640157,0.49130352941176486,0.26026788884943186],"dir":"rtl"},{"str":"=","boundary":[0.4201960784313726,0.24083863636363642,0.4302072549019609,0.2549295454545455],"dir":"ltr"},{"str":"FZ","boundary":[0.40588235294117647,0.24244500000000005,0.4649245098039215,0.2565359090909091],"dir":"ltr"},{"str":"یک","boundary":[0.38196078431372554,0.24496485854640157,0.40330882352941183,0.26026788884943186],"dir":"rtl"},{"str":"گروه","boundary":[0.3494117647058824,0.24496485854640157,0.3766680392156863,0.26026788884943186],"dir":"rtl"},{"str":"آبلی","boundary":[0.3192156862745098,0.24496485854640157,0.34421254901960785,0.26026788884943186],"dir":"rtl"},{"str":"و","boundary":[0.30745098039215685,0.24496485854640157,0.31382784313725487,0.26026788884943186],"dir":"rtl"},{"str":"K","boundary":[0.28784313725490207,0.24136500000000002,0.30223039215686287,0.25666803030303037],"dir":"ltr"},{"str":"زیر","boundary":[0.2584313725490197,0.24496485854640157,0.2824450980392158,0.26026788884943186],"dir":"rtl"},{"str":"گروهی","boundary":[0.205686274509804,0.24496485854640157,0.25310235294117656,0.26026788884943186],"dir":"rtl"},{"str":"از","boundary":[0.19137254901960793,0.24496485854640157,0.20054176470588242,0.26026788884943186],"dir":"rtl"},{"str":"F","boundary":[0.1749019607843138,0.24136500000000002,0.18583019607843146,0.25666803030303037],"dir":"ltr"},{"str":"که","boundary":[0.8690196078431373,0.28041940400094706,0.8850703921568628,0.2957224343039774],"dir":"rtl"},{"str":"توسط","boundary":[0.8290196078431373,0.28041940400094706,0.8640070588235295,0.2957224343039774],"dir":"rtl"},{"str":"اعضاي","boundary":[0.7843137254901962,0.28041940400094706,0.8236503921568629,0.2957224343039774],"dir":"rtl"},{"str":"زیر","boundary":[0.7613725490196079,0.28041940400094706,0.7795086274509805,0.2957224343039774],"dir":"rtl"},{"str":"تولی","boundary":[0.735661568627451,0.28041940400094706,0.7565349019607843,0.2957224343039774],"dir":"rtl"},{"str":"میشود","boundary":[0.6770588235294119,0.28041940400094706,0.7209111764705883,0.2957224343039774],"dir":"rtl"},{"str":".","boundary":[0.6737254901960785,0.2745700000000001,0.6771662745098039,0.2898730303030304],"dir":"ltr"},{"str":"+−−","boundary":[0.19745098039215686,0.31311212121212123,0.346078431372549,0.3270515151515152],"dir":"ltr"},{"str":"(xx)(x,y)(x,y)","boundary":[0.1776470588235294,0.3147012121212122,0.34757568627450985,0.32864060606060613],"dir":"ltr"},{"str":"′′","boundary":[0.2211764705882353,0.3122030303030303,0.4192156862745098,0.32614242424242423],"dir":"ltr"},{"str":"+−−","boundary":[0.21431372549019606,0.34735454545454547,0.36294117647058827,0.36129393939393945],"dir":"ltr"},{"str":"(x,yy)(x,y)(x,y)","boundary":[0.1776470588235294,0.34894363636363634,0.36836,0.3628830303030303],"dir":"ltr"},{"str":"′′","boundary":[0.2376470588235294,0.3464454545454546,0.4694117647058823,0.3603848484848486],"dir":"ltr"},{"str":"−","boundary":[0.22627450980392155,0.3817484848484849,0.23617803921568625,0.39568787878787887],"dir":"ltr"},{"str":"(xr,y)(x,ry)","boundary":[0.1776470588235294,0.38333757575757577,0.28483058823529417,0.39727696969696974],"dir":"ltr"},{"str":"آنگاه","boundary":[0.8568627450980392,0.41784364642518934,0.8848007843137254,0.43314667672821966],"dir":"rtl"},{"str":"F","boundary":[0.8115686274509804,0.41439530303030303,0.8225796078431372,0.42969833333333335],"dir":"ltr"},{"str":"/","boundary":[0.8256862745098039,0.41439530303030303,0.8311917647058823,0.42969833333333335],"dir":"ltr"},{"str":"k","boundary":[0.8349019607843137,0.41439530303030303,0.8448039215686274,0.42969833333333335],"dir":"ltr"},{"str":"گروه","boundary":[0.7776470588235296,0.41784364642518934,0.8052860784313727,0.43314667672821966],"dir":"rtl"},{"str":"آبلی","boundary":[0.747450980392157,0.41784364642518934,0.7726486274509804,0.43314667672821966],"dir":"rtl"},{"str":"را","boundary":[0.7331372549019609,0.41784364642518934,0.7423064705882354,0.43314667672821966],"dir":"rtl"},{"str":"حاصل","boundary":[0.6900000000000001,0.41784364642518934,0.7283476470588235,0.43314667672821966],"dir":"rtl"},{"str":"ضرب","boundary":[0.6527450980392158,0.41784364642518934,0.6843886274509804,0.43314667672821966],"dir":"rtl"},{"str":"تانسوري","boundary":[0.5974509803921568,0.41784364642518934,0.6479366666666667,0.43314667672821966],"dir":"rtl"},{"str":"M","boundary":[0.5743137254901962,0.41424378787878785,0.591919411764706,0.42954681818181817],"dir":"ltr"},{"str":"و","boundary":[0.5629411764705884,0.41784364642518934,0.5693180392156865,0.43314667672821966],"dir":"rtl"},{"str":"N","boundary":[0.5433333333333334,0.41424378787878785,0.5576317647058825,0.42954681818181817],"dir":"ltr"},{"str":"مینامیم","boundary":[0.4890196078431374,0.41784364642518934,0.5383621568627452,0.43314667672821966],"dir":"rtl"},{"str":"و","boundary":[0.4776470588235296,0.41784364642518934,0.4842917647058825,0.43314667672821966],"dir":"rtl"},{"str":"MN","boundary":[0.41215686274509805,0.41547530303030306,0.48087627450980397,0.42956621212121215],"dir":"ltr"},{"str":"با","boundary":[0.46450980392156876,0.41784364642518934,0.47290764705882365,0.43314667672821966],"dir":"rtl"},{"str":"⊗","boundary":[0.43117647058823527,0.4138689393939394,0.4451811764705882,0.4279598484848485],"dir":"ltr"},{"str":"نمایش","boundary":[0.36411764705882355,0.41784364642518934,0.4042372549019608,0.43314667672821966],"dir":"rtl"},{"str":"میدهیم","boundary":[0.3027450980392157,0.41784364642518934,0.3591464705882353,0.43314667672821966],"dir":"rtl"},{"str":"که","boundary":[0.27607843137254906,0.41784364642518934,0.29787980392156865,0.43314667672821966],"dir":"rtl"},{"str":"یک","boundary":[0.24372549019607842,0.41784364642518934,0.2711431372549019,0.43314667672821966],"dir":"rtl"},{"str":"-","boundary":[0.21901960784313723,0.41199424242424243,0.22644607843137252,0.42729727272727275],"dir":"ltr"},{"str":"Z","boundary":[0.22666666666666666,0.41424378787878785,0.238766862745098,0.42954681818181817],"dir":"ltr"},{"str":"م","boundary":[0.20174,0.41784364642518934,0.21431274509803921,0.43314667672821966],"dir":"rtl"},{"str":"ول","boundary":[0.17490196078431372,0.41784364642518934,0.1923529411764706,0.43314667672821966],"dir":"rtl"},{"str":"R","boundary":[0.43274509803921585,0.42947,0.4430201960784315,0.44128818181818186],"dir":"ltr"},{"str":"است","boundary":[0.8568627450980392,0.4596618282433712,0.8846154901960784,0.4749648585464015],"dir":"rtl"},{"str":".","boundary":[0.8537254901960785,0.45381242424242424,0.8570511764705881,0.46911545454545456],"dir":"ltr"},{"str":"+⊗=⊗+⊗","boundary":[0.19745098039215686,0.4920515151515152,0.38745098039215686,0.5059909090909092],"dir":"ltr"},{"str":"(xx)yxyxy","boundary":[0.1776470588235294,0.4936406060606061,0.40450980392156866,0.50758],"dir":"ltr"},{"str":"′′","boundary":[0.22098039215686277,0.49114242424242427,0.4711764705882353,0.5050818181818182],"dir":"ltr"},{"str":"⊗+=⊗+⊗","boundary":[0.1907843137254902,0.5264454545454545,0.37924470588235293,0.5403848484848486],"dir":"ltr"},{"str":"x(yy)xyxy","boundary":[0.17823529411764705,0.5280345454545455,0.39666666666666667,0.5419739393939395],"dir":"ltr"},{"str":"′′","boundary":[0.25039215686274513,0.5255363636363637,0.5009803921568627,0.5394757575757576],"dir":"ltr"},{"str":"⊗=⊗","boundary":[0.19686274509803922,0.5606878787878788,0.28644156862745096,0.5746272727272728],"dir":"ltr"},{"str":"xryxry","boundary":[0.17823529411764705,0.5622769696969697,0.2871301960784314,0.5762163636363637],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117645,0.6049798029119319,0.8844194117647057,0.6202828332149621],"dir":"rtl"},{"str":":","boundary":[0.8449019607843136,0.5991154545454546,0.8491286274509803,0.6144184848484849],"dir":"ltr"},{"str":"فرض","boundary":[0.8088235294117646,0.6049648585464016,0.8395196078431372,0.6202678888494318],"dir":"rtl"},{"str":"کنی","boundary":[0.783896862745098,0.6049648585464016,0.8035027450980392,0.6202678888494318],"dir":"rtl"},{"str":"R","boundary":[0.7558823529411764,0.601365,0.769091568627451,0.6166680303030303],"dir":"ltr"},{"str":"حلقهاي","boundary":[0.7054901960784312,0.6049648585464016,0.7505743137254902,0.6202678888494318],"dir":"rtl"},{"str":"جابجایی","boundary":[0.6498039215686273,0.6049648585464016,0.7007339215686273,0.6202678888494318],"dir":"rtl"},{"str":"باش","boundary":[0.6264458823529411,0.6049648585464016,0.644843725490196,0.6202678888494318],"dir":"rtl"},{"str":"و","boundary":[0.6052941176470588,0.6049648585464016,0.6114099999999999,0.6202678888494318],"dir":"rtl"},{"str":"-","boundary":[0.5470588235294117,0.5991154545454546,0.5546133333333333,0.6144184848484849],"dir":"ltr"},{"str":"R","boundary":[0.5547058823529412,0.601365,0.5680431372549019,0.6166680303030303],"dir":"ltr"},{"str":"،","boundary":[0.5731372549019607,0.6049648585464016,0.577305294117647,0.6202678888494318],"dir":"ltr"},{"str":"M","boundary":[0.5823529411764704,0.601365,0.6000866666666665,0.6166680303030303],"dir":"ltr"},{"str":"م","boundary":[0.5356615686274508,0.6049648585464016,0.5420582352941175,0.6202678888494318],"dir":"rtl"},{"str":"ول","boundary":[0.5090196078431372,0.6049648585464016,0.5262745098039214,0.6202678888494318],"dir":"rtl"},{"str":"راست","boundary":[0.4698039215686273,0.6049648585464016,0.503679019607843,0.6202678888494318],"dir":"rtl"},{"str":"و","boundary":[0.4580392156862744,0.6049648585464016,0.4645441176470587,0.6202678888494318],"dir":"rtl"},{"str":"-","boundary":[0.408235294117647,0.5991154545454546,0.41566176470588223,0.6144184848484849],"dir":"ltr"},{"str":"R،","boundary":[0.41588235294117637,0.601365,0.4332556862745098,0.6202678888494318],"dir":"ltr"},{"str":"N","boundary":[0.4384313725490195,0.601365,0.4527298039215685,0.6166680303030303],"dir":"ltr"},{"str":"م","boundary":[0.3968380392156862,0.6049648585464016,0.4032347058823529,0.6202678888494318],"dir":"rtl"},{"str":"ول","boundary":[0.37019607843137253,0.6049648585464016,0.3874509803921568,0.6202678888494318],"dir":"rtl"},{"str":"چپ","boundary":[0.34039215686274504,0.6049648585464016,0.36519156862745095,0.6202678888494318],"dir":"rtl"},{"str":"باش","boundary":[0.3168380392156862,0.6049648585464016,0.33503980392156857,0.6202678888494318],"dir":"rtl"},{"str":"؛","boundary":[0.3035294117647058,0.6049648585464016,0.3074509803921568,0.6202678888494318],"dir":"rtl"},{"str":"آنگاه","boundary":[0.27039215686274504,0.6049648585464016,0.2983301960784313,0.6202678888494318],"dir":"rtl"},{"str":"-","boundary":[0.1747058823529412,0.5991154545454546,0.1821323529411765,0.6144184848484848],"dir":"ltr"},{"str":"R","boundary":[0.1823529411764706,0.6013649999999999,0.1955621568627451,0.6166680303030303],"dir":"ltr"},{"str":"،","boundary":[0.20078431372549022,0.6049648585464015,0.20482431372549023,0.6202678888494317],"dir":"ltr"},{"str":"⊗","boundary":[0.23176470588235296,0.6011416666666667,0.24576941176470588,0.6152325757575757],"dir":"ltr"},{"str":"MN","boundary":[0.21274509803921568,0.6027480303030303,0.28185666666666664,0.6168389393939394],"dir":"ltr"},{"str":"R","boundary":[0.23333333333333325,0.6167262121212121,0.243403725490196,0.6283928787878789],"dir":"ltr"},{"str":"م","boundary":[0.8782352941176472,0.6475406161221591,0.8844605882352944,0.6628436464251894],"dir":"rtl"},{"str":"ول","boundary":[0.8515686274509805,0.6475406161221591,0.8690196078431373,0.6628436464251894],"dir":"rtl"},{"str":"چپ","boundary":[0.8219607843137257,0.6475406161221591,0.846797843137255,0.6628436464251894],"dir":"rtl"},{"str":"است","boundary":[0.7892156862745099,0.6475406161221591,0.8167723529411766,0.6628436464251894],"dir":"rtl"},{"str":".","boundary":[0.7858823529411765,0.641691212121212,0.7891103921568627,0.6569942424242424],"dir":"ltr"},{"str":"تعری","boundary":[0.8580237254901962,0.6830101059422348,0.8848137254901962,0.698313136245265],"dir":"rtl"},{"str":":","boundary":[0.8380392156862747,0.6771457575757575,0.8434284313725491,0.6924487878787877],"dir":"ltr"},{"str":"فرض","boundary":[0.8019607843137256,0.6829951615767045,0.8326568627450982,0.6982981918797347],"dir":"rtl"},{"str":"کنی","boundary":[0.7772301960784316,0.6829951615767045,0.7968360784313727,0.6982981918797347],"dir":"rtl"},{"str":"-","boundary":[0.709607843137255,0.6771457575757575,0.7170343137254903,0.6924487878787877],"dir":"ltr"},{"str":"R","boundary":[0.7172549019607845,0.6793953030303029,0.730464117647059,0.6946983333333332],"dir":"ltr"},{"str":"،","boundary":[0.7356862745098041,0.6829951615767045,0.7397262745098041,0.6982981918797347],"dir":"ltr"},{"str":"M","boundary":[0.7449019607843138,0.6793953030303029,0.7625076470588236,0.6946983333333332],"dir":"ltr"},{"str":"م","boundary":[0.6982105882352941,0.6829951615767045,0.7046072549019609,0.6982981918797347],"dir":"rtl"},{"str":"ول","boundary":[0.6715686274509804,0.6829951615767045,0.6888235294117648,0.6982981918797347],"dir":"rtl"},{"str":"راست","boundary":[0.6323529411764707,0.6829951615767045,0.6666801960784315,0.6982981918797347],"dir":"rtl"},{"str":"و","boundary":[0.6205882352941178,0.6829951615767045,0.6269650980392159,0.6982981918797347],"dir":"rtl"},{"str":"-","boundary":[0.5656862745098041,0.6771457575757575,0.5731127450980394,0.6924487878787877],"dir":"ltr"},{"str":"R","boundary":[0.5733333333333335,0.6793953030303029,0.586542549019608,0.6946983333333332],"dir":"ltr"},{"str":"،","boundary":[0.5917647058823531,0.6829951615767045,0.5958047058823531,0.6982981918797347],"dir":"ltr"},{"str":"N","boundary":[0.6009803921568628,0.6793953030303029,0.6152788235294119,0.6946983333333332],"dir":"ltr"},{"str":"م","boundary":[0.5542890196078433,0.6829951615767045,0.56068568627451,0.6982981918797347],"dir":"rtl"},{"str":"ول","boundary":[0.5276470588235296,0.6829951615767045,0.544901960784314,0.6982981918797347],"dir":"rtl"},{"str":"چپ","boundary":[0.4976470588235296,0.6829951615767045,0.5228762745098041,0.6982981918797347],"dir":"rtl"},{"str":"باش","boundary":[0.4742890196078433,0.6829951615767045,0.49249078431372567,0.6982981918797347],"dir":"rtl"},{"str":"؛","boundary":[0.4607843137254904,0.6829951615767045,0.4649019607843139,0.6982981918797347],"dir":"rtl"},{"str":"براي","boundary":[0.42941176470588255,0.6829951615767045,0.4557423529411767,0.6982981918797347],"dir":"rtl"},{"str":"هر","boundary":[0.40901960784313746,0.6829951615767045,0.4242884313725492,0.6982981918797347],"dir":"rtl"},{"str":"Z","boundary":[0.39196078431372566,0.6793953030303029,0.40406098039215704,0.6946983333333332],"dir":"ltr"},{"str":"م","boundary":[0.3654654901960786,0.6829951615767045,0.37186215686274526,0.6982981918797347],"dir":"rtl"},{"str":"ول","boundary":[0.33882352941176486,0.6829951615767045,0.3560784313725492,0.6982981918797347],"dir":"rtl"},{"str":"مثل","boundary":[0.3033333333333335,0.6829951615767045,0.33384960784313744,0.6982981918797347],"dir":"rtl"},{"str":"×→","boundary":[0.2315686274509804,0.6791727272727273,0.30495999999999995,0.6931121212121212],"dir":"ltr"},{"str":"F:MNL","boundary":[0.19196078431372549,0.6807618181818182,0.3295662745098039,0.694701212121212],"dir":"ltr"},{"str":"را","boundary":[0.17490196078431375,0.6829951615767046,0.18407117647058824,0.6982981918797349],"dir":"rtl"},{"str":"خطی","boundary":[0.8519607843137257,0.7186012221827651,0.8850592156862748,0.7339042524857954],"dir":"rtl"},{"str":"میانی","boundary":[0.8137254901960785,0.7186012221827651,0.8468147058823531,0.7339042524857954],"dir":"rtl"},{"str":"نامن","boundary":[0.7882105882352942,0.7186012221827651,0.8087907843137256,0.7339042524857954],"dir":"rtl"},{"str":"هرگاه","boundary":[0.7400000000000001,0.7186012221827651,0.7737001960784314,0.7339042524857954],"dir":"rtl"},{"str":":","boundary":[0.7368627450980393,0.7127518181818181,0.7400907843137255,0.7280548484848484],"dir":"ltr"},{"str":"+=+","boundary":[0.20784313725490197,0.7511424242424243,0.38019607843137254,0.7650818181818182],"dir":"ltr"},{"str":"F(xx)F(x,y)F(x,y)","boundary":[0.17784313725490197,0.7527315151515152,0.38113490196078426,0.7666709090909091],"dir":"ltr"},{"str":"′′","boundary":[0.23137254901960783,0.7502333333333333,0.47568627450980394,0.7641727272727272],"dir":"ltr"},{"str":"+=+","boundary":[0.22450980392156863,0.7850810606060606,0.39705882352941174,0.7991719696969697],"dir":"ltr"},{"str":"F(x,yy)F(x,y)F(x,y)","boundary":[0.17784313725490197,0.7866874242424242,0.4016605882352941,0.8007783333333333],"dir":"ltr"},{"str":"′′","boundary":[0.24784313725490198,0.7843234848484849,0.5258823529411765,0.798414393939394],"dir":"ltr"},{"str":"=","boundary":[0.23784313725490197,0.8196272727272728,0.24774666666666667,0.8335666666666667],"dir":"ltr"},{"str":"F(xr,y)F(x,ry)","boundary":[0.17784313725490197,0.8212163636363636,0.3079976470588235,0.8351557575757576],"dir":"ltr"},{"str":"هرگاه","boundary":[0.8380392156862745,0.8557224343039774,0.884684705882353,0.8710254646070077],"dir":"rtl"},{"str":"R","boundary":[0.8198039215686274,0.8521225757575759,0.8330131372549019,0.8674256060606063],"dir":"ltr"},{"str":"جابجایی","boundary":[0.7511764705882352,0.8557224343039774,0.8148515686274509,0.8710254646070077],"dir":"rtl"},{"str":"فرض","boundary":[0.702156862745098,0.8557224343039774,0.7460925490196079,0.8710254646070077],"dir":"rtl"},{"str":"شود،","boundary":[0.6549019607843136,0.8557224343039774,0.6971923529411763,0.8710254646070077],"dir":"rtl"},{"str":"و","boundary":[0.6435294117647058,0.8557224343039774,0.6499062745098039,0.8710254646070077],"dir":"rtl"},{"str":"-","boundary":[0.6054901960784312,0.8498730303030304,0.6128447058823528,0.8651760606060607],"dir":"ltr"},{"str":"RL","boundary":[0.6131372549019607,0.8521225757575759,0.6383027450980391,0.8674256060606063],"dir":"ltr"},{"str":"م","boundary":[0.5809274509803921,0.8557224343039774,0.6007550980392157,0.8710254646070077],"dir":"rtl"},{"str":"ول","boundary":[0.5543137254901961,0.8557224343039774,0.5715403921568627,0.8710254646070077],"dir":"rtl"},{"str":"چپ","boundary":[0.5115686274509804,0.8557224343039774,0.54955,0.8710254646070077],"dir":"rtl"},{"str":"باش","boundary":[0.47507333333333335,0.8557224343039774,0.5068045098039217,0.8710254646070077],"dir":"rtl"},{"str":"تابع","boundary":[0.42509803921568623,0.8557224343039774,0.46097137254901954,0.8710254646070077],"dir":"rtl"},{"str":"خطی","boundary":[0.37411764705882344,0.8557224343039774,0.4203247058823528,0.8710254646070077],"dir":"rtl"},{"str":"میانی","boundary":[0.3229411764705882,0.8557224343039774,0.3689715686274509,0.8710254646070077],"dir":"rtl"},{"str":"×→","boundary":[0.25137254901960787,0.8519,0.32476392156862743,0.8658393939393939],"dir":"ltr"},{"str":"F:MNL","boundary":[0.21176470588235294,0.8534890909090909,0.34937019607843134,0.8674284848484848],"dir":"ltr"},{"str":"که","boundary":[0.17490196078431372,0.8557224343039774,0.2039749019607843,0.8710254646070077],"dir":"rtl"},{"str":"F(xr,y)F(x,ry)rF(x,y)","boundary":[0.6766666666666666,0.8878830303030303,0.8823113725490196,0.9018224242424242],"dir":"ltr"},{"str":"==","boundary":[0.7370588235294118,0.8862939393939394,0.8852941176470588,0.9002333333333332],"dir":"ltr"},{"str":"را","boundary":[0.6598039215686275,0.8899648585464015,0.668973137254902,0.9052678888494318],"dir":"rtl"},{"str":"تابع","boundary":[0.6323529411764707,0.8899648585464015,0.6552307843137256,0.9052678888494318],"dir":"rtl"},{"str":"دو","boundary":[0.6133333333333334,0.8899648585464015,0.6274992156862745,0.9052678888494318],"dir":"rtl"},{"str":"خطی","boundary":[0.5754901960784314,0.8899648585464015,0.6085886274509804,0.9052678888494318],"dir":"rtl"},{"str":"نامن","boundary":[0.5497792156862746,0.8899648585464015,0.5707472549019609,0.9052678888494318],"dir":"rtl"},{"str":".","boundary":[0.5372549019607843,0.8841154545454545,0.5404829411764706,0.8994184848484849],"dir":"ltr"},{"str":"13","boundary":[0.19607843137254902,0.934610303030303,0.21266392156862743,0.9488527272727273],"dir":"ltr"}],"boundary":[0.17471,0.06988,0.89091,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":13,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/5cfa77b94af7bf3d5c6596ccf8164344.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/9252a5d0e99a1d2eb8f61765e2e6d52c.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.14213,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"⊗×→⊗","boundary":[0.3284313725490196,0.09417196969696964,0.4871829411764706,0.10826287878787873],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.10846465139678022,0.8279582352941176,0.12376768169981052],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.10260030303030292,0.7853333333333333,0.11790333333333324],"dir":"ltr"},{"str":"براي","boundary":[0.7496078431372549,0.1084497070312499,0.7761345098039217,0.1237527373342802],"dir":"rtl"},{"str":"-","boundary":[0.723529411764706,0.10260030303030292,0.7309558823529413,0.11790333333333324],"dir":"ltr"},{"str":"R","boundary":[0.7311764705882354,0.10484984848484839,0.74438568627451,0.1201528787878787],"dir":"ltr"},{"str":"م","boundary":[0.7123282352941178,0.1084497070312499,0.7187249019607845,0.1237527373342802],"dir":"rtl"},{"str":"ول","boundary":[0.6854901960784315,0.1084497070312499,0.7029411764705884,0.1237527373342802],"dir":"rtl"},{"str":"راست","boundary":[0.6462745098039218,0.1084497070312499,0.68034568627451,0.1237527373342802],"dir":"rtl"},{"str":"M","boundary":[0.6233333333333334,0.10484984848484839,0.6409390196078433,0.1201528787878787],"dir":"ltr"},{"str":"و","boundary":[0.6115686274509805,0.1084497070312499,0.6179454901960786,0.1237527373342802],"dir":"rtl"},{"str":":MNMN","boundary":[0.34509803921568627,0.09577833333333327,0.49969980392156865,0.10986924242424236],"dir":"ltr"},{"str":"-","boundary":[0.585686274509804,0.10260030303030292,0.5931127450980394,0.11790333333333324],"dir":"ltr"},{"str":"R","boundary":[0.5933333333333334,0.10484984848484839,0.606542549019608,0.1201528787878787],"dir":"ltr"},{"str":"م","boundary":[0.5684066666666668,0.1084497070312499,0.580979411764706,0.1237527373342802],"dir":"rtl"},{"str":"ول","boundary":[0.541764705882353,0.1084497070312499,0.5590196078431373,0.1237527373342802],"dir":"rtl"},{"str":"چپ","boundary":[0.5060784313725492,0.1084497070312499,0.5369868627450981,0.1237527373342802],"dir":"rtl"},{"str":"→⊗","boundary":[0.37392156862745096,0.11538409090909094,0.4436535294117647,0.12947500000000003],"dir":"ltr"},{"str":"،N","boundary":[0.48235294117647065,0.10484984848484839,0.5008666666666667,0.1237527373342802],"dir":"ltr"},{"str":"تابع","boundary":[0.292156862745098,0.10844970703125004,0.3209196078431372,0.12375273733428034],"dir":"rtl"},{"str":"خطی","boundary":[0.2484313725490196,0.10844970703125004,0.28721607843137253,0.12375273733428034],"dir":"rtl"},{"str":"میانی","boundary":[0.20431372549019605,0.10844970703125004,0.24325941176470586,0.12375273733428034],"dir":"rtl"},{"str":"است","boundary":[0.16549019607843135,0.10844970703125004,0.19911823529411762,0.12375273733428034],"dir":"rtl"},{"str":"اگر","boundary":[0.13666666666666663,0.10844970703125004,0.16020568627450976,0.12375273733428034],"dir":"rtl"},{"str":"R","boundary":[0.11843137254901959,0.10484984848484853,0.13171235294117645,0.12015287878787884],"dir":"ltr"},{"str":"(x,y)xy","boundary":[0.3284313725490196,0.11699045454545456,0.4584313725490196,0.13108136363636366],"dir":"ltr"},{"str":"جابجایی","boundary":[0.7776470588235296,0.15208607066761376,0.8283523529411766,0.16738910097064405],"dir":"rtl"},{"str":"باش","boundary":[0.7544850980392158,0.15208607066761376,0.7728829411764707,0.16738910097064405],"dir":"rtl"},{"str":"آنگاه","boundary":[0.7123529411764706,0.15208607066761376,0.7400949019607843,0.16738910097064405],"dir":"rtl"},{"str":"-","boundary":[0.6209803921568627,0.14623666666666663,0.628406862745098,0.16153969696969694],"dir":"ltr"},{"str":"R","boundary":[0.6286274509803921,0.1484862121212121,0.6418366666666666,0.1637892424242424],"dir":"ltr"},{"str":"،","boundary":[0.6468627450980392,0.1520860706676136,0.6509027450980392,0.16738910097064388],"dir":"ltr"},{"str":"⊗","boundary":[0.6780392156862745,0.14841590909090907,0.6917427450980391,0.16220378787878786],"dir":"ltr"},{"str":"MN","boundary":[0.6586274509803921,0.14998772727272724,0.7293731372549019,0.16377560606060604],"dir":"ltr"},{"str":"م","boundary":[0.6097792156862746,0.1520860706676136,0.6161758823529412,0.16738910097064388],"dir":"rtl"},{"str":"ول","boundary":[0.5831372549019609,0.1520860706676136,0.6003921568627452,0.16738910097064388],"dir":"rtl"},{"str":"چپ","boundary":[0.5533333333333335,0.1520860706676136,0.5781703921568628,0.16738910097064388],"dir":"rtl"},{"str":"خواه","boundary":[0.5201713725490197,0.1520860706676136,0.5482550980392157,0.16738910097064388],"dir":"rtl"},{"str":"بود","boundary":[0.48764705882352943,0.1520860706676136,0.5057525490196079,0.16738910097064388],"dir":"rtl"},{"str":"که","boundary":[0.46686274509803916,0.1520860706676136,0.4829135294117647,0.16738910097064388],"dir":"rtl"},{"str":"⊗","boundary":[0.44862745098039214,0.14841590909090907,0.4623309803921568,0.16220378787878786],"dir":"ltr"},{"str":"تابع","boundary":[0.4186274509803921,0.1520860706676136,0.4413376470588235,0.16738910097064388],"dir":"rtl"},{"str":"دو","boundary":[0.39960784313725484,0.1520860706676136,0.4137372549019607,0.16738910097064388],"dir":"rtl"},{"str":"خطی","boundary":[0.36196078431372547,0.1520860706676136,0.3946670588235294,0.16738910097064388],"dir":"rtl"},{"str":"است","boundary":[0.3290196078431372,0.1520860706676136,0.356968431372549,0.16738910097064388],"dir":"rtl"},{"str":".","boundary":[0.3256862745098039,0.14623666666666663,0.3289143137254902,0.16153969696969694],"dir":"ltr"},{"str":"پقضیه","boundary":[0.7856862745098038,0.18755556048768943,0.828166862745098,0.20285859079071974],"dir":"rtl"},{"str":":","boundary":[0.7817647058823528,0.18169121212121214,0.7857972549019607,0.19699424242424246],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019605,0.2172972727272728,0.8193601960784312,0.23260030303030313],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117645,0.2172972727272728,0.8281813725490194,0.23260030303030313],"dir":"ltr"},{"str":"فرض","boundary":[0.776862745098039,0.2231466767282198,0.8073878431372546,0.2384497070312501],"dir":"rtl"},{"str":"کنی","boundary":[0.7521321568627449,0.2231466767282198,0.7717380392156862,0.2384497070312501],"dir":"rtl"},{"str":"-","boundary":[0.6841176470588234,0.2172972727272728,0.6922021568627449,0.23260030303030313],"dir":"ltr"},{"str":"R","boundary":[0.6917647058823527,0.21954681818181826,0.7056319607843136,0.23484984848484855],"dir":"ltr"},{"str":"،","boundary":[0.7101960784313723,0.2231466767282198,0.7148941176470587,0.2384497070312501],"dir":"ltr"},{"str":"M","boundary":[0.7194117647058821,0.21954681818181826,0.7376754901960781,0.23484984848484855],"dir":"ltr"},{"str":"م","boundary":[0.6727203921568625,0.2231466767282198,0.6791170588235292,0.2384497070312501],"dir":"rtl"},{"str":"ول","boundary":[0.6460784313725488,0.2231466767282198,0.6633333333333331,0.2384497070312501],"dir":"rtl"},{"str":"راست","boundary":[0.606862745098039,0.2231466767282198,0.6409339215686273,0.2384497070312501],"dir":"rtl"},{"str":"و","boundary":[0.5952941176470586,0.2231466767282198,0.6023290196078429,0.2384497070312501],"dir":"rtl"},{"str":"-","boundary":[0.5401960784313724,0.2172972727272728,0.5476225490196077,0.23260030303030313],"dir":"ltr"},{"str":"R","boundary":[0.5478431372549019,0.21954681818181826,0.5610523529411764,0.23484984848484855],"dir":"ltr"},{"str":"،","boundary":[0.5662745098039214,0.2231466767282198,0.5703145098039214,0.2384497070312501],"dir":"ltr"},{"str":"N","boundary":[0.5754901960784312,0.21954681818181826,0.5897886274509802,0.23484984848484855],"dir":"ltr"},{"str":"م","boundary":[0.5287988235294117,0.2231466767282198,0.5351954901960784,0.2384497070312501],"dir":"rtl"},{"str":"ول","boundary":[0.5021568627450981,0.2231466767282198,0.5194117647058824,0.2384497070312501],"dir":"rtl"},{"str":"چپ","boundary":[0.4723529411764706,0.2231466767282198,0.49715235294117643,0.2384497070312501],"dir":"rtl"},{"str":"باش","boundary":[0.44272039215686265,0.2231466767282198,0.46700058823529406,0.2384497070312501],"dir":"rtl"},{"str":"،","boundary":[0.42941176470588227,0.2231466767282198,0.43333333333333324,0.2384497070312501],"dir":"ltr"},{"str":"براي","boundary":[0.39156862745098026,0.2231466767282198,0.4240496078431371,0.2384497070312501],"dir":"rtl"},{"str":"هر","boundary":[0.3650980392156861,0.2231466767282198,0.38635156862745085,0.2384497070312501],"dir":"rtl"},{"str":"-","boundary":[0.33999999999999997,0.2172972727272728,0.3474264705882352,0.23260030303030313],"dir":"ltr"},{"str":"Z","boundary":[0.3476470588235294,0.21954681818181826,0.35974725490196074,0.23484984848484855],"dir":"ltr"},{"str":"م","boundary":[0.3225243137254902,0.2231466767282198,0.3350970588235294,0.2384497070312501],"dir":"rtl"},{"str":"ول","boundary":[0.29588235294117643,0.2231466767282198,0.31313725490196076,0.2384497070312501],"dir":"rtl"},{"str":"L","boundary":[0.2786274509803921,0.21954681818181826,0.290825294117647,0.23484984848484855],"dir":"ltr"},{"str":"و","boundary":[0.2668627450980392,0.2231466767282198,0.27333725490196076,0.2384497070312501],"dir":"rtl"},{"str":"هر","boundary":[0.24039215686274507,0.2231466767282198,0.26183705882352937,0.2384497070312501],"dir":"rtl"},{"str":"تابع","boundary":[0.20666666666666664,0.2231466767282198,0.23542941176470583,0.2384497070312501],"dir":"rtl"},{"str":"خطی","boundary":[0.1625490196078431,0.2231466767282198,0.20169725490196075,0.2384497070312501],"dir":"rtl"},{"str":"میانی","boundary":[0.11843137254901957,0.2231466767282198,0.15737705882352937,0.2384497070312501],"dir":"rtl"},{"str":"×→","boundary":[0.7564705882352941,0.2540212121212121,0.8298619607843137,0.267960606060606],"dir":"ltr"},{"str":"F:MNL","boundary":[0.7168627450980393,0.255610303030303,0.8544682352941178,0.26954969696969694],"dir":"ltr"},{"str":"همریختی","boundary":[0.6511764705882354,0.2576921312736742,0.7090490196078432,0.2729951615767045],"dir":"rtl"},{"str":"منحصر","boundary":[0.6033333333333334,0.2576921312736742,0.6460496078431373,0.2729951615767045],"dir":"rtl"},{"str":"به","boundary":[0.5866666666666667,0.2576921312736742,0.5985388235294118,0.2729951615767045],"dir":"rtl"},{"str":"فرد","boundary":[0.5617647058823529,0.2576921312736742,0.5816921568627451,0.2729951615767045],"dir":"rtl"},{"str":"φ⊗→×:MNMN","boundary":[0.41117647058823525,0.2537174242424242,0.5740135294117648,0.26941469696969694],"dir":"ltr"},{"str":"موجود","boundary":[0.36490196078431375,0.2576921312736742,0.4032594117647059,0.2729951615767045],"dir":"rtl"},{"str":"است","boundary":[0.3315686274509804,0.2576921312736742,0.35932137254901964,0.2729951615767045],"dir":"rtl"},{"str":"که","boundary":[0.3109803921568628,0.2576921312736742,0.32660568627450987,0.2729951615767045],"dir":"rtl"},{"str":"نمودار","boundary":[0.2698039215686275,0.2576921312736742,0.3059309803921569,0.2729951615767045],"dir":"rtl"},{"str":"زیر","boundary":[0.24666666666666673,0.2576921312736742,0.2646019607843138,0.2729951615767045],"dir":"rtl"},{"str":"جابجایی","boundary":[0.19117647058823534,0.2576921312736742,0.2418817647058824,0.2729951615767045],"dir":"rtl"},{"str":"است","boundary":[0.15843137254901965,0.2576921312736742,0.1863801960784314,0.2729951615767045],"dir":"rtl"},{"str":".","boundary":[0.1550980392156863,0.2518427272727272,0.15832607843137259,0.26714575757575754],"dir":"ltr"},{"str":"R","boundary":[0.45352941176470596,0.2693184848484848,0.46373058823529417,0.28113666666666665],"dir":"ltr"},{"str":"φ⊗=oF","boundary":[0.7617647058823529,0.2975060606060606,0.8578729411764706,0.3130345454545455],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.85787,0.31303],"dir":"ltr","type":"paragraph"},{"words":[{"str":"(","boundary":[0.8131372549019608,0.4513881818181818,0.8191641176470589,0.4666912121212121],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117647,0.4513881818181818,0.8281813725490196,0.4666912121212121],"dir":"ltr"},{"str":"فرض","boundary":[0.7770588235294118,0.45723758581912877,0.8077549019607844,0.47254061612215903],"dir":"rtl"},{"str":"کنی","boundary":[0.7525243137254902,0.45723758581912877,0.7721301960784315,0.47254061612215903],"dir":"rtl"},{"str":"T","boundary":[0.7260784313725489,0.4536377272727272,0.738640588235294,0.46894075757575754],"dir":"ltr"},{"str":"یک","boundary":[0.7,0.45723758581912877,0.7209558823529412,0.47254061612215903],"dir":"rtl"},{"str":"-","boundary":[0.6750980392156862,0.4513881818181818,0.6824172549019607,0.4666912121212121],"dir":"ltr"},{"str":"Z","boundary":[0.6827450980392157,0.4536377272727272,0.6947380392156862,0.46894075757575754],"dir":"ltr"},{"str":"م","boundary":[0.6638968627450981,0.45723758581912877,0.6702935294117648,0.47254061612215903],"dir":"rtl"},{"str":"ول","boundary":[0.6372549019607843,0.45723758581912877,0.6545098039215687,0.47254061612215903],"dir":"rtl"},{"str":"باش","boundary":[0.613921568627451,0.45723758581912877,0.6325154901960783,0.47254061612215903],"dir":"rtl"},{"str":".","boundary":[0.6013725490196078,0.4513881818181818,0.6048664705882353,0.4666912121212121],"dir":"ltr"},{"str":"اگر","boundary":[0.578627450980392,0.45723758581912877,0.5960880392156862,0.47254061612215903],"dir":"rtl"},{"str":"همریختی","boundary":[0.5156862745098039,0.45723758581912877,0.5735588235294117,0.47254061612215903],"dir":"rtl"},{"str":"×→","boundary":[0.4456862745098039,0.4532628787878788,0.5183792156862744,0.4673537878787879],"dir":"ltr"},{"str":"g:MNT","boundary":[0.4066666666666667,0.4548692424242424,0.5422896078431373,0.4689601515151515],"dir":"ltr"},{"str":"موجود","boundary":[0.3603921568627451,0.45723758581912877,0.39911725490196076,0.47254061612215903],"dir":"rtl"},{"str":"باش","boundary":[0.33723019607843135,0.45723758581912877,0.35562803921568625,0.47254061612215903],"dir":"rtl"},{"str":"چنانکه","boundary":[0.2817647058823529,0.45723758581912877,0.3229927450980392,0.47254061612215903],"dir":"rtl"},{"str":"براي","boundary":[0.25019607843137254,0.45723758581912877,0.27634000000000003,0.47254061612215903],"dir":"rtl"},{"str":"هر","boundary":[0.22999999999999998,0.45723758581912877,0.24488607843137253,0.47254061612215903],"dir":"rtl"},{"str":"-","boundary":[0.20509803921568626,0.4513881818181818,0.2125245098039215,0.4666912121212121],"dir":"ltr"},{"str":"Z","boundary":[0.21274509803921568,0.4536377272727272,0.22484529411764703,0.46894075757575754],"dir":"ltr"},{"str":"م","boundary":[0.19389686274509801,0.45723758581912877,0.20029352941176468,0.47254061612215903],"dir":"rtl"},{"str":"ول","boundary":[0.1672549019607843,0.45723758581912877,0.1845098039215686,0.47254061612215903],"dir":"rtl"},{"str":"L","boundary":[0.15019607843137253,0.4536377272727272,0.1622962745098039,0.46894075757575754],"dir":"ltr"},{"str":"و","boundary":[0.13862745098039214,0.45723758581912877,0.1448129411764706,0.47254061612215903],"dir":"rtl"},{"str":"هر","boundary":[0.11843137254901959,0.45723758581912877,0.13331745098039213,0.47254061612215903],"dir":"rtl"},{"str":"همریختی","boundary":[0.770392156862745,0.491480010061553,0.8281019607843136,0.5067830403645833],"dir":"rtl"},{"str":"×→","boundary":[0.6986274509803921,0.4878090909090909,0.7720188235294118,0.5017484848484849],"dir":"ltr"},{"str":"F:MNL","boundary":[0.6590196078431373,0.48939818181818184,0.7966250980392157,0.5033375757575758],"dir":"ltr"},{"str":"همریختی","boundary":[0.5929411764705882,0.491480010061553,0.6508137254901961,0.5067830403645833],"dir":"rtl"},{"str":"منحصر","boundary":[0.5450980392156862,0.491480010061553,0.5878143137254901,0.5067830403645833],"dir":"rtl"},{"str":"به","boundary":[0.528235294117647,0.491480010061553,0.5401074509803921,0.5067830403645833],"dir":"rtl"},{"str":":TL","boundary":[0.43980392156862746,0.48939818181818184,0.529607843137255,0.5033375757575758],"dir":"ltr"},{"str":"فرد","boundary":[0.5033333333333333,0.491480010061553,0.5232607843137255,0.5067830403645833],"dir":"rtl"},{"str":"φ→","boundary":[0.4264705882352941,0.4878090909090909,0.5098682352941176,0.5017484848484849],"dir":"ltr"},{"str":"را","boundary":[0.4096078431372549,0.491480010061553,0.4187770588235294,0.5067830403645833],"dir":"rtl"},{"str":"القا","boundary":[0.38705882352941173,0.491480010061553,0.4047343137254902,0.5067830403645833],"dir":"rtl"},{"str":"کن","boundary":[0.3686027450980392,0.491480010061553,0.3821090196078431,0.5067830403645833],"dir":"rtl"},{"str":"که","boundary":[0.33862745098039215,0.491480010061553,0.3542527450980392,0.5067830403645833],"dir":"rtl"},{"str":"نمودار","boundary":[0.2974509803921569,0.491480010061553,0.3335780392156863,0.5067830403645833],"dir":"rtl"},{"str":"زیر","boundary":[0.2743137254901961,0.491480010061553,0.29224901960784316,0.5067830403645833],"dir":"rtl"},{"str":"جابجایی","boundary":[0.21882352941176472,0.491480010061553,0.26952882352941177,0.5067830403645833],"dir":"rtl"},{"str":"است","boundary":[0.18607843137254904,0.491480010061553,0.21402725490196084,0.5067830403645833],"dir":"rtl"},{"str":".","boundary":[0.18274509803921568,0.48563060606060604,0.18597313725490197,0.5009336363636364],"dir":"ltr"},{"str":"φ=ogF","boundary":[0.7662745098039215,0.5241727272727273,0.8439513725490196,0.5397012121212121],"dir":"ltr"}],"boundary":[0.11843,0.45139,0.84395,0.5397],"dir":"ltr","type":"paragraph"},{"words":[{"str":"آنگاه","boundary":[0.8003921568627451,0.6410254646070075,0.828141568627451,0.6563284949100378],"dir":"rtl"},{"str":"≅⊗","boundary":[0.7341176470588234,0.6367469696969696,0.8032521568627451,0.6509893939393938],"dir":"ltr"},{"str":"TMN","boundary":[0.72,0.638370606060606,0.818098431372549,0.6526130303030303],"dir":"ltr"},{"str":"Z","boundary":[0.7347058823529412,0.6523487878787879,0.744050588235294,0.6641669696969698],"dir":"ltr"},{"str":"تعریف","boundary":[0.7847058823529411,0.6828436464251895,0.8284176470588236,0.6981466767282197],"dir":"rtl"},{"str":")","boundary":[0.773921568627451,0.6769942424242424,0.7798039215686274,0.6922972727272727],"dir":"ltr"},{"str":"حاصل","boundary":[0.73,0.6828436464251895,0.7744170588235294,0.6981466767282197],"dir":"rtl"},{"str":"ضرب","boundary":[0.6868627450980392,0.6828436464251895,0.7248690196078431,0.6981466767282197],"dir":"rtl"},{"str":"تانسوري","boundary":[0.6254901960784314,0.6828436464251895,0.6822503921568628,0.6981466767282197],"dir":"rtl"},{"str":":(","boundary":[0.6164705882352942,0.6769942424242424,0.6254741176470588,0.6922972727272727],"dir":"ltr"},{"str":"فرض","boundary":[0.5745098039215687,0.6828436464251895,0.6113819607843137,0.6981466767282197],"dir":"rtl"},{"str":"کنی","boundary":[0.5438968627450981,0.6828436464251895,0.5695811764705883,0.6981466767282197],"dir":"rtl"},{"str":"M","boundary":[0.511764705882353,0.6792437878787879,0.5294780392156864,0.6945468181818182],"dir":"ltr"},{"str":"و","boundary":[0.5003921568627452,0.6828436464251895,0.5068766666666668,0.6981466767282197],"dir":"rtl"},{"str":"M","boundary":[0.47666666666666674,0.6796487878787879,0.4937494117647059,0.6944972727272727],"dir":"ltr"},{"str":"′","boundary":[0.4937254901960785,0.6770469696969696,0.4984717647058824,0.6918954545454544],"dir":"ltr"},{"str":"دو","boundary":[0.45470588235294124,0.6828436464251895,0.46883529411764713,0.6981466767282197],"dir":"rtl"},{"str":"-","boundary":[0.4288235294117647,0.6769942424242424,0.436343725490196,0.6922972727272727],"dir":"ltr"},{"str":"R","boundary":[0.4364705882352941,0.6792437878787879,0.4497735294117647,0.6945468181818182],"dir":"ltr"},{"str":"م","boundary":[0.41137254901960785,0.6828436464251895,0.4241413725490196,0.6981466767282197],"dir":"rtl"},{"str":"ول","boundary":[0.3847058823529412,0.6828436464251895,0.40215686274509804,0.6981466767282197],"dir":"rtl"},{"str":"راست","boundary":[0.3396078431372549,0.6828436464251895,0.37975039215686274,0.6981466767282197],"dir":"rtl"},{"str":"و","boundary":[0.32823529411764707,0.6828436464251895,0.32977999999999996,0.6981466767282197],"dir":"rtl"},{"str":"−","boundary":[0.2613725490196079,0.6790219696969697,0.27116843137254903,0.6928098484848484],"dir":"ltr"},{"str":"RN","boundary":[0.27215686274509804,0.6805937878787878,0.2978441176470588,0.6943816666666666],"dir":"ltr"},{"str":"′","boundary":[0.2980392156862745,0.6782643939393939,0.3024464705882353,0.6920522727272727],"dir":"ltr"},{"str":"،N","boundary":[0.3045098039215686,0.6792437878787879,0.32302352941176465,0.6981466767282197],"dir":"ltr"},{"str":"مدول","boundary":[0.21176470588235297,0.6828585907907198,0.25843176470588236,0.69816162109375],"dir":"rtl"},{"str":"چپ","boundary":[0.1711764705882353,0.6828585907907198,0.20733411764705884,0.69816162109375],"dir":"rtl"},{"str":"باشند","boundary":[0.11843137254901961,0.6828585907907198,0.16701058823529413,0.69816162109375],"dir":"rtl"},{"str":"′′","boundary":[0.5449019607843137,0.7117477272727273,0.6209803921568627,0.7258386363636363],"dir":"ltr"},{"str":"′","boundary":[0.8215686274509804,0.7117477272727273,0.8260727450980393,0.7258386363636363],"dir":"ltr"},{"str":"φ→:MM","boundary":[0.7362745098039216,0.7125053030303031,0.8517647058823529,0.7282025757575756],"dir":"ltr"},{"str":"×→⊗","boundary":[0.47156862745098044,0.7125053030303031,0.5954182352941177,0.7265962121212122],"dir":"ltr"},{"str":"F:MNMN","boundary":[0.43196078431372553,0.7141116666666666,0.6077390196078432,0.7282025757575756],"dir":"ltr"},{"str":"-","boundary":[0.7033333333333335,0.7209336363636363,0.7423680392156863,0.7362366666666667],"dir":"ltr"},{"str":"R،","boundary":[0.7109803921568628,0.7231831818181819,0.7652560784313726,0.7420860706676137],"dir":"ltr"},{"str":"′","boundary":[0.8188235294117647,0.7328083333333334,0.8233276470588236,0.7468992424242424],"dir":"ltr"},{"str":"ψ→","boundary":[0.7362745098039216,0.7337174242424243,0.8299986274509804,0.7478083333333333],"dir":"ltr"},{"str":"همریختی","boundary":[0.6407843137254904,0.7267830403645833,0.6988286274509805,0.7420860706676137],"dir":"rtl"},{"str":"نگاشت","boundary":[0.5939215686274512,0.7267830403645833,0.6356352941176472,0.7420860706676137],"dir":"rtl"},{"str":"→φ⊗ψ","boundary":[0.4772549019607843,0.7337174242424243,0.5700733333333332,0.7478083333333333],"dir":"ltr"},{"str":"یک","boundary":[0.4025490196078432,0.7267830403645833,0.4238970588235294,0.7420860706676137],"dir":"rtl"},{"str":"نگاشت","boundary":[0.3558823529411765,0.7267830403645833,0.3972039215686275,0.7420860706676137],"dir":"rtl"},{"str":"خطی","boundary":[0.317843137254902,0.7267830403645833,0.35054941176470594,0.7420860706676137],"dir":"rtl"},{"str":"میانی","boundary":[0.2796078431372549,0.7267830403645833,0.3126970588235294,0.7420860706676137],"dir":"rtl"},{"str":"است","boundary":[0.24666666666666667,0.7267830403645833,0.27462254901960786,0.7420860706676137],"dir":"rtl"},{"str":"پس","boundary":[0.21215686274509804,0.7267830403645833,0.24161235294117647,0.7420860706676137],"dir":"rtl"},{"str":"-","boundary":[0.18725490196078434,0.7209336363636363,0.1947701960784314,0.7362366666666667],"dir":"ltr"},{"str":"Z","boundary":[0.19490196078431374,0.7231831818181819,0.2070909803921569,0.7384862121212121],"dir":"ltr"},{"str":"همریختی","boundary":[0.11843137254901964,0.7267830403645833,0.18255411764705887,0.7420860706676137],"dir":"rtl"},{"str":"(x,y)(x)(y)","boundary":[0.43176470588235294,0.7353237878787877,0.5912684313725489,0.7494146969696968],"dir":"ltr"},{"str":":NN","boundary":[0.7521568627450981,0.7353237878787877,0.8492156862745098,0.7494146969696968],"dir":"ltr"},{"str":"منحصر","boundary":[0.7854901960784314,0.7698133433948864,0.8281825490196079,0.7851163736979168],"dir":"rtl"},{"str":"به","boundary":[0.7688235294117648,0.7698133433948864,0.7802701960784314,0.7851163736979168],"dir":"rtl"},{"str":"فرد","boundary":[0.7437254901960785,0.7698133433948864,0.7634976470588235,0.7851163736979168],"dir":"rtl"},{"str":"زیر","boundary":[0.7207843137254902,0.7698133433948864,0.7389203921568628,0.7851163736979168],"dir":"rtl"},{"str":"را","boundary":[0.7064705882352942,0.7698133433948864,0.7156398039215687,0.7851163736979168],"dir":"rtl"},{"str":"القا","boundary":[0.6841176470588235,0.7698133433948864,0.7015970588235294,0.7851163736979168],"dir":"rtl"},{"str":"میکن","boundary":[0.6468380392156863,0.7698133433948864,0.6789503921568628,0.7851163736979168],"dir":"rtl"},{"str":"که","boundary":[0.6166666666666666,0.7698133433948864,0.6322919607843137,0.7851163736979168],"dir":"rtl"},{"str":"نمودار","boundary":[0.5752941176470588,0.7698133433948864,0.6114456862745098,0.7851163736979168],"dir":"rtl"},{"str":"زیر","boundary":[0.5523529411764705,0.7698133433948864,0.5704890196078432,0.7851163736979168],"dir":"rtl"},{"str":"را","boundary":[0.537843137254902,0.7698133433948864,0.5470123529411764,0.7851163736979168],"dir":"rtl"},{"str":"جابجایی","boundary":[0.4823529411764706,0.7698133433948864,0.5330582352941176,0.7851163736979168],"dir":"rtl"},{"str":"میکن","boundary":[0.44509803921568625,0.7698133433948864,0.4773817647058824,0.7851163736979168],"dir":"rtl"},{"str":"و","boundary":[0.4243137254901961,0.7698133433948864,0.4308580392156863,0.7851163736979168],"dir":"rtl"},{"str":"آن","boundary":[0.40352941176470586,0.7698133433948864,0.41956882352941177,0.7851163736979168],"dir":"rtl"},{"str":"را","boundary":[0.38941176470588235,0.7698133433948864,0.39858098039215684,0.7851163736979168],"dir":"rtl"},{"str":"با","boundary":[0.3762745098039216,0.7698133433948864,0.3842801960784314,0.7851163736979168],"dir":"rtl"},{"str":"نماد","boundary":[0.3468627450980392,0.7698133433948864,0.3712960784313726,0.7851163736979168],"dir":"rtl"},{"str":"φ⊗φ","boundary":[0.3033333333333333,0.7661424242424243,0.3472196078431372,0.7800818181818182],"dir":"ltr"},{"str":"نمایش","boundary":[0.2554901960784314,0.7698133433948864,0.29560980392156866,0.7851163736979168],"dir":"rtl"},{"str":"میدهیم","boundary":[0.20019607843137258,0.7698133433948864,0.2505190196078432,0.7851163736979168],"dir":"rtl"},{"str":":","boundary":[0.19686274509803922,0.7639639393939394,0.2000907843137255,0.7792669696969697],"dir":"ltr"},{"str":"φ⊗ψ⊗→⊗:MNMN","boundary":[0.12098039215686275,0.8023545454545454,0.3358109803921569,0.8178830303030302],"dir":"ltr"},{"str":"′′","boundary":[0.27274509803921565,0.8014454545454546,0.34921568627450983,0.8153848484848485],"dir":"ltr"},{"str":"φ⊗=F","boundary":[0.12098039215686275,0.8367484848484849,0.1747356862745098,0.8522769696969696],"dir":"ltr"}],"boundary":[0.11843,0.63675,0.85176,0.85228],"dir":"ltr","type":"paragraph"},{"words":[{"str":"14","boundary":[0.14,0.9332466666666668,0.1554980392156863,0.947489090909091],"dir":"ltr"}],"boundary":[0.14,0.93325,0.1555,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":14,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/e7317812356eebebaa6ec1a6ffe5b7c0.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/049f411c48b7a467ef85b77c63f4c42c.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.10909,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"}],"boundary":[0.75667,0.06988,0.89091,0.08413],"dir":"rtl","type":"paragraph"},{"words":[{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"}],"boundary":[0.70431,0.06988,0.74034,0.08413],"dir":"rtl","type":"paragraph"},{"words":[{"str":"φ⊗ψ⊗=φ⊗ψ()(xy)(x)(y)","boundary":[0.1776470588235294,0.19583939393939398,0.3942423529411765,0.21136787878787885],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117645,0.24013131806344698,0.8844194117647057,0.25543434836647727],"dir":"rtl"},{"str":":","boundary":[0.8449019607843136,0.23426696969696972,0.8491286274509803,0.24957000000000001],"dir":"ltr"},{"str":"فرض","boundary":[0.8090196078431371,0.2401163736979167,0.8397156862745095,0.255419404000947],"dir":"rtl"},{"str":"کنی","boundary":[0.784289019607843,0.2401163736979167,0.8038949019607842,0.255419404000947],"dir":"rtl"},{"str":"K","boundary":[0.6947058823529411,0.23651651515151514,0.70900431372549,0.25181954545454543],"dir":"ltr"},{"str":"،","boundary":[0.7143137254901959,0.2401163736979167,0.7183537254901959,0.255419404000947],"dir":"ltr"},{"str":"N","boundary":[0.7233333333333332,0.23651651515151514,0.7376317647058821,0.25181954545454543],"dir":"ltr"},{"str":"،","boundary":[0.7429411764705881,0.2401163736979167,0.746981176470588,0.255419404000947],"dir":"ltr"},{"str":"M","boundary":[0.7519607843137253,0.23651651515151514,0.769566470588235,0.25181954545454543],"dir":"ltr"},{"str":"و","boundary":[0.6833333333333332,0.2401163736979167,0.6897101960784313,0.255419404000947],"dir":"rtl"},{"str":"-","boundary":[0.6574509803921567,0.23426696969696972,0.664877450980392,0.24957000000000001],"dir":"ltr"},{"str":"R","boundary":[0.6650980392156861,0.23651651515151514,0.6783072549019606,0.25181954545454543],"dir":"ltr"},{"str":"م","boundary":[0.6462498039215686,0.2401163736979167,0.6526464705882352,0.255419404000947],"dir":"rtl"},{"str":"ولهاي","boundary":[0.5939215686274508,0.2401163736979167,0.6368627450980391,0.255419404000947],"dir":"rtl"},{"str":"راست","boundary":[0.5549019607843135,0.2401163736979167,0.58895431372549,0.255419404000947],"dir":"rtl"},{"str":"باشن","boundary":[0.5254654901960784,0.2401163736979167,0.5497668627450979,0.255419404000947],"dir":"rtl"},{"str":"و","boundary":[0.5047058823529411,0.2401163736979167,0.5110827450980392,0.255419404000947],"dir":"rtl"},{"str":"φψ→→→MNK0","boundary":[0.17784313725490175,0.27145681818181816,0.3806172549019608,0.2918224242424243],"dir":"ltr"},{"str":"یک","boundary":[0.8635294117647059,0.31723758581912886,0.8848774509803923,0.3325406161221591],"dir":"rtl"},{"str":"دنباله","boundary":[0.8250980392156864,0.31723758581912886,0.858098431372549,0.3325406161221591],"dir":"rtl"},{"str":"ي","boundary":[0.811764705882353,0.31723758581912886,0.8246456862745098,0.3325406161221591],"dir":"rtl"},{"str":"دقیق","boundary":[0.7752941176470589,0.31723758581912886,0.8064776470588236,0.3325406161221591],"dir":"rtl"},{"str":"کوتاه","boundary":[0.7400000000000001,0.31723758581912886,0.7697841176470589,0.3325406161221591],"dir":"rtl"},{"str":"از","boundary":[0.7254901960784315,0.31723758581912886,0.734659411764706,0.3325406161221591],"dir":"rtl"},{"str":"-","boundary":[0.6992156862745099,0.3113881818181819,0.7067100000000002,0.3266912121212122],"dir":"ltr"},{"str":"R","boundary":[0.7068627450980394,0.3136377272727273,0.7201398039215687,0.32894075757575764],"dir":"ltr"},{"str":"همریختیها","boundary":[0.6233333333333334,0.31723758581912886,0.6941470588235296,0.3325406161221591],"dir":"rtl"},{"str":"برابر","boundary":[0.593529411764706,0.31723758581912886,0.6175117647058825,0.3325406161221591],"dir":"rtl"},{"str":"-","boundary":[0.5672549019607844,0.3113881818181819,0.5747531372549021,0.3266912121212122],"dir":"ltr"},{"str":"R","boundary":[0.5749019607843139,0.3136377272727273,0.5881829411764707,0.32894075757575764],"dir":"ltr"},{"str":"م","boundary":[0.5558576470588238,0.31723758581912886,0.5622543137254904,0.3325406161221591],"dir":"rtl"},{"str":"ول","boundary":[0.52921568627451,0.31723758581912886,0.5464705882352943,0.3325406161221591],"dir":"rtl"},{"str":"چپ","boundary":[0.4994117647058825,0.31723758581912886,0.5242111764705883,0.3325406161221591],"dir":"rtl"},{"str":"-","boundary":[0.4745098039215688,0.3113881818181819,0.4819362745098041,0.3266912121212122],"dir":"ltr"},{"str":"L","boundary":[0.48196078431372563,0.3136377272727273,0.49406098039215707,0.32894075757575764],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.42333333333333356,0.31723758581912886,0.46968372549019627,0.3325406161221591],"dir":"rtl"},{"str":"دقیق","boundary":[0.3868627450980394,0.31723758581912886,0.41843843137254927,0.3325406161221591],"dir":"rtl"},{"str":"کوتاه","boundary":[0.34588235294117664,0.31723758581912886,0.38193960784313746,0.3325406161221591],"dir":"rtl"},{"str":"زیر","boundary":[0.31647058823529434,0.31723758581912886,0.3408450980392159,0.3325406161221591],"dir":"rtl"},{"str":"از","boundary":[0.30215686274509823,0.31723758581912886,0.3113260784313728,0.3325406161221591],"dir":"rtl"},{"str":"-","boundary":[0.27725490196078456,0.3113881818181819,0.2849452941176473,0.3266912121212122],"dir":"ltr"},{"str":"Z","boundary":[0.28490196078431396,0.3136377272727273,0.2972660784313728,0.32894075757575764],"dir":"ltr"},{"str":"همریختیها","boundary":[0.18941176470588256,0.31723758581912886,0.2722196078431375,0.3325406161221591],"dir":"rtl"},{"str":"را","boundary":[0.17490196078431394,0.31723758581912886,0.18407117647058846,0.3325406161221591],"dir":"rtl"},{"str":"داریم","boundary":[0.8537254901960785,0.3513284949100379,0.8847735294117647,0.36663152521306824],"dir":"rtl"},{"str":":","boundary":[0.8503921568627452,0.34547909090909096,0.8536919607843139,0.3607821212121213],"dir":"ltr"},{"str":"φ⊗ψ⊗11","boundary":[0.24666666666666673,0.38084848484848494,0.5162745098039216,0.3966351515151515],"dir":"ltr"},{"str":"0","boundary":[0.5154901960784314,0.38965393939393944,0.5244103921568628,0.4043509090909091],"dir":"ltr"},{"str":"MLNLkL⊗→⊗→⊗→LL","boundary":[0.17784313725490203,0.38916893939393943,0.5209803921568628,0.4055413636363637],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117648,0.43210101503314396,0.8844194117647058,0.4474040453361742],"dir":"rtl"},{"str":")","boundary":[0.8386274509803922,0.4262366666666667,0.8445243137254902,0.441539696969697],"dir":"ltr"},{"str":"خاصیتهاي","boundary":[0.7586274509803921,0.43210101503314396,0.8386064705882353,0.4474040453361742],"dir":"rtl"},{"str":":(","boundary":[0.7211764705882352,0.4262366666666667,0.7311425490196077,0.441539696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.6852941176470587,0.4320860706676137,0.7159901960784313,0.44738910097064394],"dir":"rtl"},{"str":"کنی","boundary":[0.6607596078431371,0.4320860706676137,0.6803654901960784,0.44738910097064394],"dir":"rtl"},{"str":"{","boundary":[0.5776470588235294,0.42675060606060605,0.6096972549019607,0.4428112121212121],"dir":"ltr"},{"str":"Mi","boundary":[0.5870588235294117,0.42675060606060605,0.6328180392156862,0.4465057575757575],"dir":"ltr"},{"str":"}","boundary":[0.6117647058823529,0.42675060606060605,0.6438149019607843,0.4428112121212121],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.5372549019607842,0.4320860706676137,0.5957625490196077,0.44738910097064394],"dir":"rtl"},{"str":"از","boundary":[0.5231372549019606,0.4320860706676137,0.5323064705882351,0.44738910097064394],"dir":"rtl"},{"str":"-","boundary":[0.4972549019607841,0.4262366666666667,0.5048094117647056,0.441539696969697],"dir":"ltr"},{"str":"R","boundary":[0.5049019607843135,0.42848621212121213,0.5182392156862743,0.44378924242424245],"dir":"ltr"},{"str":"م","boundary":[0.4860519607843135,0.4320860706676137,0.49244862745098017,0.44738910097064394],"dir":"rtl"},{"str":"ولهاي","boundary":[0.43372549019607826,0.4320860706676137,0.4766649019607841,0.44738910097064394],"dir":"rtl"},{"str":"راست","boundary":[0.3886274509803919,0.4320860706676137,0.4287699999999998,0.44738910097064394],"dir":"rtl"},{"str":"باشن","boundary":[0.35311254901960765,0.4320860706676137,0.38388450980392136,0.44738910097064394],"dir":"rtl"},{"str":"و","boundary":[0.33235294117647035,0.4320860706676137,0.3338976470588233,0.44738910097064394],"dir":"rtl"},{"str":"N","boundary":[0.312941176470588,0.42848621212121213,0.3273113725490194,0.44378924242424245],"dir":"ltr"},{"str":"یک","boundary":[0.2805882352941174,0.4320860706676137,0.3080058823529409,0.44738910097064394],"dir":"rtl"},{"str":"-","boundary":[0.25470588235294095,0.4262366666666667,0.26222117647058796,0.441539696969697],"dir":"ltr"},{"str":"R","boundary":[0.26235294117647034,0.42848621212121213,0.27565098039215663,0.44378924242424245],"dir":"ltr"},{"str":"م","boundary":[0.23739803921568603,0.4320860706676137,0.24997078431372527,0.44738910097064394],"dir":"rtl"},{"str":"ول","boundary":[0.21078431372548997,0.4320860706676137,0.22801098039215664,0.44738910097064394],"dir":"rtl"},{"str":"چپ","boundary":[0.17490196078431347,0.4320860706676137,0.20602058823529387,0.44738910097064394],"dir":"rtl"},{"str":"داریم","boundary":[0.8537254901960781,0.46769213127367426,0.8847735294117643,0.4829951615767045],"dir":"rtl"},{"str":":","boundary":[0.8503921568627448,0.4618427272727273,0.8537178431372545,0.4771457575757576],"dir":"ltr"},{"str":"MN(MN)CC","boundary":[0.1776470588235294,0.49280606060606064,0.372156862745098,0.513100606060606],"dir":"ltr"},{"str":"⊗≅⊗","boundary":[0.22509803921568625,0.49689696969696967,0.40098509803921567,0.5114424242424243],"dir":"ltr"},{"str":"ii","boundary":[0.21607843137254876,0.5045030303030303,0.42313725490196047,0.5166242424242424],"dir":"ltr"},{"str":"iIiI","boundary":[0.1774509803921566,0.5170787878787878,0.3038039215686272,0.5292],"dir":"ltr"},{"str":"∈∈","boundary":[0.1811764705882353,0.5156969696969697,0.3756862745098039,0.5278181818181817],"dir":"ltr"},{"str":"CCMN(MN)","boundary":[0.17784313725490197,0.538109090909091,0.3726776470588235,0.5584036363636363],"dir":"ltr"},{"str":"⊗≅⊗","boundary":[0.19745098039215686,0.5422,0.38824,0.5567454545454545],"dir":"ltr"},{"str":"ii","boundary":[0.25,0.5498060606060606,0.4574509803921568,0.5619272727272727],"dir":"ltr"},{"str":"iIiI","boundary":[0.21411764705882352,0.5623818181818181,0.30380392156862746,0.5745030303030303],"dir":"ltr"},{"str":"∈∈","boundary":[0.2176470588235294,0.5609999999999999,0.3392156862745098,0.5731212121212121],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117645,0.6007373786695075,0.8844194117647057,0.6160404089725379],"dir":"rtl"},{"str":":","boundary":[0.8449019607843136,0.5948730303030303,0.8491286274509803,0.6101760606060606],"dir":"ltr"},{"str":"فرض","boundary":[0.8092156862745097,0.6007224343039772,0.8399117647058821,0.6160254646070076],"dir":"rtl"},{"str":"کنی","boundary":[0.7846811764705881,0.6007224343039772,0.8042870588235294,0.6160254646070076],"dir":"rtl"},{"str":"R","boundary":[0.7570588235294116,0.5971225757575757,0.7702680392156861,0.612425606060606],"dir":"ltr"},{"str":"و","boundary":[0.7456862745098037,0.6007224343039772,0.7520631372549018,0.6160254646070076],"dir":"rtl"},{"str":"S","boundary":[0.7294117647058822,0.5971225757575757,0.7404227450980391,0.612425606060606],"dir":"ltr"},{"str":"دو","boundary":[0.7103921568627449,0.6007224343039772,0.7245215686274508,0.6160254646070076],"dir":"rtl"},{"str":"حلقه","boundary":[0.6760784313725489,0.6007224343039772,0.7054658823529409,0.6160254646070076],"dir":"rtl"},{"str":"و","boundary":[0.664705882352941,0.6007224343039772,0.6710827450980391,0.6160254646070076],"dir":"rtl"},{"str":"-","boundary":[0.606862745098039,0.5948730303030303,0.6143829411764703,0.6101760606060606],"dir":"ltr"},{"str":"R","boundary":[0.6145098039215684,0.5971225757575757,0.627812745098039,0.612425606060606],"dir":"ltr"},{"str":"،","boundary":[0.6327450980392155,0.6007224343039772,0.6368788235294116,0.6160254646070076],"dir":"ltr"},{"str":"M","boundary":[0.6417647058823528,0.5971225757575757,0.6594641176470586,0.612425606060606],"dir":"ltr"},{"str":"م","boundary":[0.5956862745098037,0.6007224343039772,0.6019115686274509,0.6160254646070076],"dir":"rtl"},{"str":"ول","boundary":[0.5690196078431371,0.6007224343039772,0.586470588235294,0.6160254646070076],"dir":"rtl"},{"str":"راست","boundary":[0.5239215686274508,0.6007224343039772,0.5640641176470587,0.6160254646070076],"dir":"rtl"},{"str":"و","boundary":[0.5125490196078429,0.6007224343039772,0.5140937254901959,0.6160254646070076],"dir":"rtl"},{"str":"-","boundary":[0.388235294117647,0.5948730303030303,0.3960233333333333,0.6101760606060606],"dir":"ltr"},{"str":"R","boundary":[0.3958823529411764,0.5971225757575757,0.4094531372549019,0.612425606060606],"dir":"ltr"},{"str":")","boundary":[0.4090196078431372,0.5948730303030303,0.4149460784313725,0.6101760606060606],"dir":"ltr"},{"str":"(R","boundary":[0.4199999999999999,0.5971225757575757,0.4398039215686273,0.612425606060606],"dir":"ltr"},{"str":"S)","boundary":[0.46098039215686265,0.5971225757575757,0.47930921568627444,0.612425606060606],"dir":"ltr"},{"str":"،","boundary":[0.48392156862745084,0.6007224343039772,0.4877901960784312,0.6160254646070076],"dir":"ltr"},{"str":"N","boundary":[0.49294117647058805,0.5971225757575757,0.5070682352941175,0.612425606060606],"dir":"ltr"},{"str":"م","boundary":[0.37095568627450975,0.6007224343039772,0.383528431372549,0.6160254646070076],"dir":"rtl"},{"str":"ول","boundary":[0.3441176470588235,0.6007224343039772,0.36156862745098034,0.6160254646070076],"dir":"rtl"},{"str":"چپ","boundary":[0.30843137254901953,0.6007224343039772,0.3393398039215686,0.6160254646070076],"dir":"rtl"},{"str":"(","boundary":[0.3027450980392156,0.5948730303030303,0.30857588235294114,0.6101760606060606],"dir":"ltr"},{"str":"دو","boundary":[0.2688235294117647,0.6007224343039772,0.28296078431372546,0.6160254646070076],"dir":"rtl"},{"str":"م","boundary":[0.2513478431372549,0.6007224343039772,0.26392058823529413,0.6160254646070076],"dir":"rtl"},{"str":"ول","boundary":[0.22450980392156858,0.6007224343039772,0.24196078431372547,0.6160254646070076],"dir":"rtl"},{"str":"در","boundary":[0.20568627450980387,0.6007224343039772,0.21950941176470581,0.6160254646070076],"dir":"rtl"},{"str":"این","boundary":[0.17490196078431366,0.6007224343039772,0.20088568627450976,0.6160254646070076],"dir":"rtl"},{"str":"صورت","boundary":[0.8464705882352941,0.6363284949100378,0.884539019607843,0.651631525213068],"dir":"rtl"},{"str":"-","boundary":[0.7550980392156863,0.6304790909090909,0.7625245098039216,0.6457821212121212],"dir":"ltr"},{"str":"S","boundary":[0.7627450980392158,0.6327286363636364,0.7737560784313726,0.6480316666666667],"dir":"ltr"},{"str":"،","boundary":[0.7790196078431373,0.6363284949100378,0.7830596078431372,0.6516315252130682],"dir":"ltr"},{"str":"i","boundary":[0.8029411764705882,0.6396215151515151,0.8071929411764706,0.6514396969696968],"dir":"ltr"},{"str":"⊗","boundary":[0.8119607843137255,0.6320500000000001,0.8261160784313726,0.6462924242424243],"dir":"ltr"},{"str":"MN","boundary":[0.7858823529411765,0.6336736363636364,0.870255294117647,0.6479160606060607],"dir":"ltr"},{"str":"م","boundary":[0.7438968627450979,0.6363284949100378,0.7502935294117646,0.6516315252130682],"dir":"rtl"},{"str":"ول","boundary":[0.7172549019607842,0.6363284949100378,0.7345098039215686,0.6516315252130682],"dir":"rtl"},{"str":"راست","boundary":[0.678235294117647,0.6363284949100378,0.7123064705882353,0.6516315252130682],"dir":"rtl"},{"str":"است","boundary":[0.6452941176470588,0.6363284949100378,0.673222156862745,0.6516315252130682],"dir":"rtl"},{"str":"-","boundary":[0.6125490196078431,0.6304790909090909,0.6199754901960784,0.6457821212121212],"dir":"ltr"},{"str":"S","boundary":[0.6201960784313726,0.6327286363636364,0.6312070588235295,0.6480316666666667],"dir":"ltr"},{"str":")","boundary":[0.6313725490196078,0.6304790909090909,0.6370588235294118,0.6457821212121212],"dir":"ltr"},{"str":".","boundary":[0.6419607843137255,0.6304790909090909,0.6452586274509804,0.6457821212121212],"dir":"ltr"},{"str":"م","boundary":[0.601347843137255,0.6363284949100378,0.6077445098039217,0.6516315252130682],"dir":"rtl"},{"str":"ول","boundary":[0.5745098039215687,0.6363284949100378,0.5919607843137256,0.6516315252130682],"dir":"rtl"},{"str":"چپ","boundary":[0.5449019607843137,0.6363284949100378,0.5697390196078432,0.6516315252130682],"dir":"rtl"},{"str":"است","boundary":[0.5121568627450981,0.6363284949100378,0.5401056862745097,0.6516315252130682],"dir":"rtl"},{"str":"(","boundary":[0.5064705882352941,0.6304790909090909,0.5120354901960783,0.6457821212121212],"dir":"ltr"},{"str":"خاصیت","boundary":[0.8380392156862745,0.6705709191524621,0.8852315686274509,0.6858739494554924],"dir":"rtl"},{"str":"شرکت","boundary":[0.7933333333333333,0.6705709191524621,0.8329968627450981,0.6858739494554924],"dir":"rtl"},{"str":"پذیري","boundary":[0.7498039215686274,0.6705709191524621,0.7883480392156863,0.6858739494554924],"dir":"rtl"},{"str":"الحاقی","boundary":[0.7056862745098039,0.6705709191524621,0.7449041176470589,0.6858739494554924],"dir":"rtl"},{"str":":","boundary":[0.7023529411764705,0.6647215151515151,0.705846862745098,0.6800245454545454],"dir":"ltr"},{"str":"فرض","boundary":[0.6664705882352941,0.6705709191524621,0.6971666666666667,0.6858739494554924],"dir":"rtl"},{"str":"کنی","boundary":[0.6419360784313726,0.6705709191524621,0.6615419607843138,0.6858739494554924],"dir":"rtl"},{"str":"-","boundary":[0.5749019607843137,0.6647215151515151,0.5825962745098039,0.6800245454545454],"dir":"ltr"},{"str":"R","boundary":[0.5825490196078431,0.6669710606060606,0.5960260784313725,0.682274090909091],"dir":"ltr"},{"str":"،","boundary":[0.6007843137254902,0.6705709191524621,0.6050921568627451,0.6858739494554924],"dir":"ltr"},{"str":"M","boundary":[0.6098039215686274,0.6669710606060606,0.6276774509803922,0.682274090909091],"dir":"ltr"},{"str":"م","boundary":[0.5637007843137255,0.6705709191524621,0.5700974509803921,0.6858739494554924],"dir":"rtl"},{"str":"ول","boundary":[0.5370588235294117,0.6705709191524621,0.554313725490196,0.6858739494554924],"dir":"rtl"},{"str":"راست","boundary":[0.49784313725490187,0.6705709191524621,0.5318954901960783,0.6858739494554924],"dir":"rtl"},{"str":"و","boundary":[0.48647058823529404,0.6705709191524621,0.493115294117647,0.6858739494554924],"dir":"rtl"},{"str":"-","boundary":[0.38392156862745097,0.6647215151515151,0.39151352941176465,0.6800245454545454],"dir":"ltr"},{"str":"(R","boundary":[0.39156862745098037,0.6669710606060606,0.41137254901960785,0.682274090909091],"dir":"ltr"},{"str":"S)","boundary":[0.43509803921568624,0.6669710606060606,0.4530347058823529,0.682274090909091],"dir":"ltr"},{"str":"،","boundary":[0.45784313725490194,0.6705709191524621,0.461883137254902,0.6858739494554924],"dir":"ltr"},{"str":"N","boundary":[0.46686274509803916,0.6669710606060606,0.48116117647058815,0.682274090909091],"dir":"ltr"},{"str":"دو","boundary":[0.3652941176470588,0.6705709191524621,0.3790313725490196,0.6858739494554924],"dir":"rtl"},{"str":"م","boundary":[0.3537007843137255,0.6705709191524621,0.36009745098039214,0.6858739494554924],"dir":"rtl"},{"str":"ول","boundary":[0.32705882352941174,0.6705709191524621,0.34431372549019607,0.6858739494554924],"dir":"rtl"},{"str":"و","boundary":[0.3156862745098039,0.6705709191524621,0.32222862745098035,0.6858739494554924],"dir":"rtl"},{"str":"S","boundary":[0.2731372549019607,0.6669710606060606,0.28404588235294115,0.682274090909091],"dir":"ltr"},{"str":"،","boundary":[0.2894117647058823,0.6705709191524621,0.29334941176470586,0.6858739494554924],"dir":"ltr"},{"str":"L","boundary":[0.2984313725490196,0.6669710606060606,0.31042921568627446,0.682274090909091],"dir":"ltr"},{"str":"م","boundary":[0.2468380392156862,0.6705709191524621,0.25323470588235286,0.6858739494554924],"dir":"rtl"},{"str":"ول","boundary":[0.22019607843137248,0.6705709191524621,0.2374509803921568,0.6858739494554924],"dir":"rtl"},{"str":"راست","boundary":[0.17490196078431366,0.6705709191524621,0.21505156862745092,0.6858739494554924],"dir":"rtl"},{"str":"باش","boundary":[0.8664458823529411,0.7048133433948865,0.8846476470588235,0.7201163736979168],"dir":"rtl"},{"str":"آنگاه","boundary":[0.824313725490196,0.7048133433948865,0.8522558823529411,0.7201163736979168],"dir":"rtl"},{"str":":","boundary":[0.8209803921568627,0.6989639393939395,0.8242084313725488,0.7142669696969698],"dir":"ltr"},{"str":"⊗≅","boundary":[0.2641176470588235,0.7343227272727272,0.4416498039215686,0.7485651515151514],"dir":"ltr"},{"str":"Hom(MN,L)Hom(M,Hom(N,L))SRRSSRRSRSS","boundary":[0.17784313725490197,0.7359463636363636,0.5982352941176471,0.7537124242424242],"dir":"ltr"},{"str":"Z","boundary":[0.35568627450980395,0.7499245454545455,0.36503098039215687,0.7617427272727273],"dir":"ltr"},{"str":"⊗≅","boundary":[0.19431372549019607,0.7743234848484849,0.25541823529411767,0.7884143939393939],"dir":"ltr"},{"str":"NRN","boundary":[0.1784313725490196,0.7759298484848485,0.2721794117647059,0.7900207575757575],"dir":"ltr"},{"str":"⊗≅","boundary":[0.6123529411764705,0.7743234848484849,0.6805162745098039,0.7884143939393939],"dir":"ltr"},{"str":"RMM","boundary":[0.5966666666666667,0.7759298484848485,0.6949019607843138,0.7900207575757575],"dir":"ltr"},{"str":"RR","boundary":[0.19588235294117645,0.7897565151515151,0.5628852941176471,0.801574696969697],"dir":"ltr"},{"str":"R","boundary":[0.6137254901960785,0.7899080303030304,0.6301401960784314,0.801574696969697],"dir":"ltr"},{"str":"R","boundary":[0.6480392156862745,0.7897565151515151,0.6644539215686275,0.8014231818181818],"dir":"ltr"},{"str":"قضیه","boundary":[0.8488235294117645,0.8281616210937501,0.8844194117647057,0.8434646513967804],"dir":"rtl"},{"str":":","boundary":[0.8449019607843136,0.8222972727272728,0.8491286274509803,0.8376003030303031],"dir":"ltr"},{"str":"فرض","boundary":[0.8090196078431371,0.8281466767282198,0.8397156862745095,0.8434497070312501],"dir":"rtl"},{"str":"کنی","boundary":[0.784289019607843,0.8281466767282198,0.8038949019607842,0.8434497070312501],"dir":"rtl"},{"str":"-","boundary":[0.7170588235294115,0.8222972727272728,0.7244852941176468,0.8376003030303031],"dir":"ltr"},{"str":"R","boundary":[0.724705882352941,0.8245468181818183,0.7379150980392155,0.8398498484848486],"dir":"ltr"},{"str":"،","boundary":[0.7429411764705881,0.8281466767282198,0.746981176470588,0.8434497070312501],"dir":"ltr"},{"str":"M","boundary":[0.7519607843137253,0.8245468181818183,0.769566470588235,0.8398498484848486],"dir":"ltr"},{"str":"م","boundary":[0.7058576470588233,0.8281466767282198,0.71225431372549,0.8434497070312501],"dir":"rtl"},{"str":"ول","boundary":[0.679019607843137,0.8281466767282198,0.6964705882352938,0.8434497070312501],"dir":"rtl"},{"str":"چپ","boundary":[0.649411764705882,0.8281466767282198,0.6742488235294115,0.8434497070312501],"dir":"rtl"},{"str":"-","boundary":[0.5858823529411762,0.8222972727272728,0.5933088235294115,0.8376003030303031],"dir":"ltr"},{"str":"R","boundary":[0.5935294117647056,0.8245468181818183,0.6067386274509802,0.8398498484848486],"dir":"ltr"},{"str":"،","boundary":[0.6117647058823528,0.8281466767282198,0.6158047058823527,0.8434497070312501],"dir":"ltr"},{"str":"N","boundary":[0.6207843137254899,0.8245468181818183,0.635082745098039,0.8398498484848486],"dir":"ltr"},{"str":"،","boundary":[0.6403921568627449,0.8281466767282198,0.6444321568627449,0.8434497070312501],"dir":"ltr"},{"str":"م","boundary":[0.574681176470588,0.8281466767282198,0.5810778431372547,0.8434497070312501],"dir":"rtl"},{"str":"ول","boundary":[0.5480392156862743,0.8281466767282198,0.5652941176470586,0.8434497070312501],"dir":"rtl"},{"str":"راست","boundary":[0.509019607843137,0.8281466767282198,0.5430719607843135,0.8434497070312501],"dir":"rtl"},{"str":"باش","boundary":[0.48566156862745075,0.8281466767282198,0.5038633333333331,0.8434497070312501],"dir":"rtl"},{"str":".","boundary":[0.472941176470588,0.8222972727272728,0.4761692156862742,0.8376003030303031],"dir":"ltr"},{"str":"M","boundary":[0.21392156862745096,0.8660813636363636,0.23013274509803922,0.8801722727272726],"dir":"ltr"},{"str":"⊗≅","boundary":[0.19705882352941176,0.8644750000000001,0.2652221568627451,0.8785659090909091],"dir":"ltr"},{"str":"RM","boundary":[0.17941176470588235,0.859414696969697,0.33208745098039216,0.873505606060606],"dir":"ltr"},{"str":"ZIIM","boundary":[0.18294117647058822,0.8751722727272727,0.2724917647058824,0.8917262121212122],"dir":"ltr"}],"boundary":[0.1749,0.19584,0.88523,0.89173],"dir":"ltr","type":"paragraph"},{"words":[{"str":"15","boundary":[0.19627450980392158,0.934610303030303,0.2120070588235294,0.9488527272727273],"dir":"ltr"}],"boundary":[0.19627,0.93461,0.21201,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":15,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/0b032008fda043f2e703205f004a1e86.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/2bf54b0d7873034b83d3916abe9c5f78.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.17155,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"قضیه","boundary":[0.7923529411764706,0.10104040897253778,0.8280692156862746,0.1163434392755681],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.0951760606060605,0.7923921568627451,0.1104790909090908],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764707,0.10102546460700748,0.7830490196078432,0.11632849491003779],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235295,0.10102546460700748,0.7476027450980393,0.11632849491003779],"dir":"rtl"},{"str":"R","boundary":[0.7000000000000001,0.09742560606060596,0.7132092156862746,0.11272863636363628],"dir":"ltr"},{"str":"حلقه","boundary":[0.665686274509804,0.10102546460700748,0.6946919607843138,0.11632849491003779],"dir":"rtl"},{"str":"و","boundary":[0.6539215686274511,0.10102546460700748,0.6602984313725492,0.11632849491003779],"dir":"rtl"},{"str":"I","boundary":[0.6423529411764707,0.09742560606060596,0.6486866666666667,0.11272863636363628],"dir":"ltr"},{"str":"ای","boundary":[0.6299752941176471,0.10102546460700748,0.6375096078431373,0.11632849491003779],"dir":"rtl"},{"str":"هآلی","boundary":[0.593921568627451,0.10102546460700748,0.6205882352941177,0.11632849491003779],"dir":"rtl"},{"str":"راست","boundary":[0.5549019607843138,0.10102546460700748,0.588973137254902,0.11632849491003779],"dir":"rtl"},{"str":"از","boundary":[0.5405882352941177,0.10102546460700748,0.5497574509803922,0.11632849491003779],"dir":"rtl"},{"str":"آن","boundary":[0.5198039215686274,0.10102546460700748,0.5358433333333333,0.11632849491003779],"dir":"rtl"},{"str":"باش","boundary":[0.4966419607843137,0.10102546460700748,0.5150398039215687,0.11632849491003779],"dir":"rtl"},{"str":"و","boundary":[0.4758823529411765,0.10102546460700748,0.4823725490196078,0.11632849491003779],"dir":"rtl"},{"str":"M","boundary":[0.4529411764705883,0.09742560606060596,0.4705468627450981,0.11272863636363628],"dir":"ltr"},{"str":"یک","boundary":[0.42666666666666675,0.10102546460700748,0.44801470588235304,0.11632849491003779],"dir":"rtl"},{"str":"-","boundary":[0.4007843137254903,0.0951760606060605,0.40829960784313735,0.1104790909090908],"dir":"ltr"},{"str":"R","boundary":[0.40843137254901973,0.09742560606060596,0.421729411764706,0.11272863636363628],"dir":"ltr"},{"str":"م","boundary":[0.3897792156862746,0.10102546460700748,0.39617588235294127,0.11632849491003779],"dir":"rtl"},{"str":"ول","boundary":[0.3629411764705883,0.10102546460700748,0.3803921568627452,0.11632849491003779],"dir":"rtl"},{"str":"چپ؛","boundary":[0.32921568627450987,0.10102546460700748,0.35814450980392165,0.11632849491003779],"dir":"rtl"},{"str":"آنگاه","boundary":[0.2964705882352942,0.10102546460700748,0.3240464705882354,0.11632849491003779],"dir":"rtl"},{"str":":","boundary":[0.2931372549019609,0.0951760606060605,0.2964541176470589,0.1104790909090908],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.13770707563920442,0.8279582352941176,0.15301010594223471],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.1318427272727271,0.7854031372549021,0.14714575757575743],"dir":"ltr"},{"str":"رستهاي","boundary":[0.7294117647058825,0.1376921312736741,0.7763982352941178,0.1529951615767044],"dir":"rtl"},{"str":"مثل","boundary":[0.6998039215686276,0.1376921312736741,0.724260980392157,0.1529951615767044],"dir":"rtl"},{"str":"،C","boundary":[0.6772549019607845,0.1340922727272726,0.6947098039215688,0.1529951615767044],"dir":"ltr"},{"str":"خانوادهاي","boundary":[0.6139215686274513,0.1376921312736741,0.6724292156862747,0.1529951615767044],"dir":"rtl"},{"str":"متشکل","boundary":[0.5641176470588238,0.1376921312736741,0.6085747058823532,0.1529951615767044],"dir":"rtl"},{"str":"از","boundary":[0.5496078431372552,0.1376921312736741,0.5587770588235297,0.1529951615767044],"dir":"rtl"},{"str":"اشیاء","boundary":[0.5145098039215689,0.1376921312736741,0.5446366666666669,0.1529951615767044],"dir":"rtl"},{"str":"است","boundary":[0.4815686274509806,0.1376921312736741,0.5095174509803925,0.1529951615767044],"dir":"rtl"},{"str":"که","boundary":[0.4607843137254904,0.1376921312736741,0.47683509803921587,0.1529951615767044],"dir":"rtl"},{"str":"معمولاً","boundary":[0.4166666666666668,0.1376921312736741,0.45594490196078447,0.1529951615767044],"dir":"rtl"},{"str":"آنها","boundary":[0.39098039215686287,0.1376921312736741,0.4116635294117649,0.1529951615767044],"dir":"rtl"},{"str":"را","boundary":[0.37686274509803935,0.1376921312736741,0.3860319607843139,0.1529951615767044],"dir":"rtl"},{"str":"با","boundary":[0.3637254901960786,0.1376921312736741,0.37173117647058845,0.1529951615767044],"dir":"rtl"},{"str":"B","boundary":[0.3168627450980395,0.1340922727272726,0.33000392156862773,0.1493953030303029],"dir":"ltr"},{"str":"،","boundary":[0.3350980392156866,0.1376921312736741,0.33907000000000026,0.1529951615767044],"dir":"ltr"},{"str":"A","boundary":[0.34411764705882386,0.1340922727272726,0.3583480392156866,0.1493953030303029],"dir":"ltr"},{"str":"و","boundary":[0.3054901960784317,0.1376921312736741,0.3119723529411768,0.1529951615767044],"dir":"rtl"},{"str":"...","boundary":[0.290588235294118,0.1318427272727271,0.300588235294118,0.14714575757575743],"dir":"ltr"},{"str":"نمایش","boundary":[0.23921568627451015,0.1376921312736741,0.28572235294117676,0.1529951615767044],"dir":"rtl"},{"str":"میدهن","boundary":[0.18174000000000035,0.1376921312736741,0.2343421568627454,0.1529951615767044],"dir":"rtl"},{"str":"،","boundary":[0.16843137254901996,0.1376921312736741,0.17235294117647093,0.1529951615767044],"dir":"ltr"},{"str":"با","boundary":[0.14921568627451015,0.1376921312736741,0.16327392156862777,0.1529951615767044],"dir":"rtl"},{"str":"این","boundary":[0.11843137254901993,0.1376921312736741,0.14402137254901995,0.1529951615767044],"dir":"rtl"},{"str":"ویژگی","boundary":[0.790196078431373,0.17314667672821962,0.8282596078431377,0.18844970703124994],"dir":"rtl"},{"str":"که","boundary":[0.7694117647058827,0.17314667672821962,0.7850370588235298,0.18844970703124994],"dir":"rtl"},{"str":":","boundary":[0.7660784313725494,0.16729727272727266,0.7695231372549023,0.18260030303030295],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019612,0.20169121212121205,0.8191641176470593,0.21699424242424237],"dir":"ltr"},{"str":"1","boundary":[0.8188235294117652,0.20169121212121205,0.8282249019607848,0.21699424242424237],"dir":"ltr"},{"str":"به","boundary":[0.796274509803922,0.20754061612215902,0.8077211764705887,0.22284364642518933],"dir":"rtl"},{"str":"ازاي","boundary":[0.7660784313725495,0.20754061612215902,0.7911000000000005,0.22284364642518933],"dir":"rtl"},{"str":"هر","boundary":[0.7458823529411769,0.20754061612215902,0.7607684313725493,0.22284364642518933],"dir":"rtl"},{"str":"دو","boundary":[0.7268627450980396,0.20754061612215902,0.7409921568627456,0.22284364642518933],"dir":"rtl"},{"str":"شیء","boundary":[0.6933333333333338,0.20754061612215902,0.721829803921569,0.22284364642518933],"dir":"rtl"},{"str":"مثل","boundary":[0.6637254901960788,0.20754061612215902,0.6881825490196083,0.22284364642518933],"dir":"rtl"},{"str":"،","boundary":[0.6080392156862748,0.20754061612215902,0.6120792156862749,0.22284364642518933],"dir":"ltr"},{"str":"B","boundary":[0.6170588235294122,0.20394075757575747,0.6307300000000005,0.2192437878787878],"dir":"ltr"},{"str":"،","boundary":[0.6352941176470593,0.20754061612215902,0.639796078431373,0.22284364642518933],"dir":"ltr"},{"str":"A","boundary":[0.6443137254901965,0.20394075757575747,0.6590741176470593,0.2192437878787878],"dir":"ltr"},{"str":"مجموعهاي","boundary":[0.53843137254902,0.20754061612215902,0.6028531372549023,0.22284364642518933],"dir":"rtl"},{"str":"متناظر","boundary":[0.4929411764705886,0.20754061612215902,0.5334931372549023,0.22284364642518933],"dir":"rtl"},{"str":"میشود","boundary":[0.4441176470588239,0.20754061612215902,0.4879700000000004,0.22284364642518933],"dir":"rtl"},{"str":"که","boundary":[0.4235294117647062,0.20754061612215902,0.4391547058823533,0.22284364642518933],"dir":"rtl"},{"str":"با","boundary":[0.41039215686274544,0.20754061612215902,0.4183978431372552,0.22284364642518933],"dir":"rtl"},{"str":"CHom(A,B)","boundary":[0.31176470588235294,0.20488575757575764,0.4063670588235294,0.2226518181818181],"dir":"ltr"},{"str":"نمایش","boundary":[0.257843137254902,0.20754061612215918,0.3041537254901961,0.22284364642518947],"dir":"rtl"},{"str":"داده","boundary":[0.22843137254901963,0.20754061612215918,0.2528666666666667,0.22284364642518947],"dir":"rtl"},{"str":"میشود","boundary":[0.16745098039215686,0.20754061612215918,0.22355784313725488,0.22284364642518947],"dir":"rtl"},{"str":"و","boundary":[0.15607843137254904,0.20754061612215918,0.1624552941176471,0.22284364642518947],"dir":"rtl"},{"str":"داراي","boundary":[0.11843137254901961,0.20754061612215918,0.15101803921568627,0.22284364642518947],"dir":"rtl"},{"str":"این","boundary":[0.8084313725490196,0.24178304036458342,0.8283201960784314,0.25708607066761374],"dir":"rtl"},{"str":"خاصیت","boundary":[0.7566666666666667,0.24178304036458342,0.8036629411764706,0.25708607066761374],"dir":"rtl"},{"str":"است","boundary":[0.723921568627451,0.24178304036458342,0.7518703921568627,0.25708607066761374],"dir":"rtl"},{"str":"که","boundary":[0.7031372549019608,0.24178304036458342,0.7191880392156863,0.25708607066761374],"dir":"rtl"},{"str":"به","boundary":[0.6866666666666666,0.24178304036458342,0.6981133333333334,0.25708607066761374],"dir":"rtl"},{"str":"ازاي","boundary":[0.6566666666666666,0.24178304036458342,0.6814921568627451,0.25708607066761374],"dir":"rtl"},{"str":"هر","boundary":[0.6362745098039215,0.24178304036458342,0.6515433333333333,0.25708607066761374],"dir":"rtl"},{"str":"چهار","boundary":[0.6027450980392157,0.24178304036458342,0.6311637254901961,0.25708607066761374],"dir":"rtl"},{"str":"شیء","boundary":[0.5692156862745098,0.24178304036458342,0.5977121568627451,0.25708607066761374],"dir":"rtl"},{"str":"B","boundary":[0.4950980392156863,0.23818318181818188,0.5084213725490196,0.2534862121212122],"dir":"ltr"},{"str":"،","boundary":[0.5133333333333334,0.24178304036458342,0.5174874509803922,0.25708607066761374],"dir":"ltr"},{"str":"C","boundary":[0.5223529411764706,0.23818318181818188,0.5356762745098039,0.2534862121212122],"dir":"ltr"},{"str":"،","boundary":[0.5405882352941177,0.24178304036458342,0.5447423529411766,0.25708607066761374],"dir":"ltr"},{"str":"D","boundary":[0.549607843137255,0.23818318181818188,0.5640203921568627,0.2534862121212122],"dir":"ltr"},{"str":"و","boundary":[0.48372549019607847,0.24178304036458342,0.49021647058823536,0.25708607066761374],"dir":"rtl"},{"str":"A","boundary":[0.4641176470588236,0.23818318181818188,0.4785301960784314,0.2534862121212122],"dir":"ltr"},{"str":"که","boundary":[0.44352941176470595,0.24178304036458342,0.459154705882353,0.25708607066761374],"dir":"rtl"},{"str":":","boundary":[0.4401960784313726,0.23593363636363646,0.4435382352941177,0.2512366666666668],"dir":"ltr"},{"str":"IHom(A,B)Hom(C,D),(A,B)(C,D)=φ≠CC","boundary":[0.12117647058823529,0.2706854545454545,0.4969866666666667,0.29219727272727286],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019608,0.30472151515151513,0.8189680392156863,0.3200245454545454],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117647,0.30472151515151513,0.8281813725490196,0.3200245454545454],"dir":"ltr"},{"str":"به","boundary":[0.7964705882352942,0.3105709191524621,0.8079172549019608,0.32587394945549236],"dir":"rtl"},{"str":"ازاي","boundary":[0.7664705882352941,0.3105709191524621,0.7914921568627451,0.32587394945549236],"dir":"rtl"},{"str":"هر","boundary":[0.7460784313725489,0.3105709191524621,0.7613472549019608,0.32587394945549236],"dir":"rtl"},{"str":"سه","boundary":[0.7227450980392157,0.3105709191524621,0.7410241176470588,0.32587394945549236],"dir":"rtl"},{"str":"شیء","boundary":[0.6892156862745098,0.3105709191524621,0.7177121568627451,0.32587394945549236],"dir":"rtl"},{"str":"B","boundary":[0.6423529411764705,0.30697106060606055,0.6558280392156862,0.32227409090909087],"dir":"ltr"},{"str":"،","boundary":[0.6605882352941176,0.3105709191524621,0.6648941176470587,0.32587394945549236],"dir":"ltr"},{"str":"A","boundary":[0.6696078431372549,0.30697106060606055,0.684172156862745,0.32227409090909087],"dir":"ltr"},{"str":"و","boundary":[0.6309803921568627,0.3105709191524621,0.6376231372549019,0.32587394945549236],"dir":"rtl"},{"str":"C","boundary":[0.6127450980392156,0.30697106060606055,0.6262201960784313,0.32227409090909087],"dir":"ltr"},{"str":"تابع","boundary":[0.5852941176470589,0.3105709191524621,0.6081719607843137,0.32587394945549236],"dir":"rtl"},{"str":":","boundary":[0.5819607843137254,0.30472151515151513,0.5854547058823529,0.3200245454545454],"dir":"ltr"},{"str":"Hom(B,C)Hom(A,B)Hom(A,C)","boundary":[0.12117647058823529,0.34306757575757574,0.4475176470588236,0.35730999999999996],"dir":"ltr"},{"str":"×→","boundary":[0.21607843137254903,0.34144393939393936,0.45003372549019616,0.3556863636363636],"dir":"ltr"},{"str":"CCC","boundary":[0.15843137254901962,0.3490154545454545,0.5145098039215686,0.36083363636363636],"dir":"ltr"},{"str":"→","boundary":[0.16411764705882353,0.37735454545454544,0.18192235294117645,0.3912939393939394],"dir":"ltr"},{"str":"(f,g)fg","boundary":[0.12098039215686275,0.37894363636363637,0.20301254901960786,0.39288303030303035],"dir":"ltr"},{"str":"وجود","boundary":[0.7968627450980393,0.4132981918797349,0.828100980392157,0.4286012221827652],"dir":"rtl"},{"str":"دارد","boundary":[0.767450980392157,0.4132981918797349,0.791636274509804,0.4286012221827652],"dir":"rtl"},{"str":"که","boundary":[0.7464705882352942,0.4132981918797349,0.7625213725490196,0.4286012221827652],"dir":"rtl"},{"str":":","boundary":[0.7431372549019608,0.4074487878787879,0.7464350980392157,0.42275181818181823],"dir":"ltr"},{"str":"(","boundary":[0.8168627450980394,0.44184272727272733,0.8224974509803923,0.45714575757575765],"dir":"ltr"},{"str":"i","boundary":[0.8227450980392158,0.44409227272727275,0.8282100000000001,0.45939530303030307],"dir":"ltr"},{"str":"براي","boundary":[0.7854901960784315,0.4476921312736743,0.811634117647059,0.46299516157670456],"dir":"rtl"},{"str":"هر","boundary":[0.7650980392156864,0.4476921312736743,0.7803668627450981,0.46299516157670456],"dir":"rtl"},{"str":"چهار","boundary":[0.7315686274509805,0.4476921312736743,0.759987254901961,0.46299516157670456],"dir":"rtl"},{"str":"شیء","boundary":[0.6980392156862747,0.4476921312736743,0.7265558823529413,0.46299516157670456],"dir":"rtl"},{"str":":","boundary":[0.21176470588235294,0.4418427272727273,0.2149927450980392,0.4571457575757576],"dir":"ltr"},{"str":"∈","boundary":[0.22999999999999998,0.4434136363636363,0.24314156862745098,0.4576560606060605],"dir":"ltr"},{"str":"ChHom(C,D)","boundary":[0.21803921568627452,0.4450372727272727,0.3396929411764706,0.4628033333333333],"dir":"ltr"},{"str":"،","boundary":[0.3419607843137255,0.4476921312736742,0.3460007843137255,0.4629951615767045],"dir":"ltr"},{"str":"∈","boundary":[0.3603921568627451,0.4434136363636363,0.3735337254901961,0.4576560606060605],"dir":"ltr"},{"str":"CgHom(B,C)","boundary":[0.34862745098039216,0.4450372727272727,0.4685498039215686,0.4628033333333333],"dir":"ltr"},{"str":"،","boundary":[0.47156862745098044,0.4476921312736742,0.4756086274509805,0.4629951615767045],"dir":"ltr"},{"str":"∈","boundary":[0.4890196078431372,0.4434136363636363,0.5021611764705882,0.4576560606060605],"dir":"ltr"},{"str":"CfHom(A,B)","boundary":[0.4782352941176471,0.4450372727272727,0.59872,0.4628033333333334],"dir":"ltr"},{"str":"،A,","boundary":[0.6023529411764708,0.44409227272727275,0.6262745098039217,0.46299516157670456],"dir":"ltr"},{"str":"B,","boundary":[0.631372549019608,0.44409227272727275,0.6498268627450982,0.45939530303030307],"dir":"ltr"},{"str":"C,","boundary":[0.6549249019607845,0.44409227272727275,0.6733792156862747,0.45939530303030307],"dir":"ltr"},{"str":"D","boundary":[0.6786733333333335,0.44409227272727275,0.6933149019607845,0.45939530303030307],"dir":"ltr"},{"str":"=","boundary":[0.16627450980392158,0.48023333333333335,0.17617803921568628,0.4941727272727273],"dir":"ltr"},{"str":"h(gf)(hg)(f)","boundary":[0.12117647058823529,0.4818224242424243,0.23647058823529413,0.4957618181818182],"dir":"ltr"},{"str":"(","boundary":[0.8113725490196079,0.5104790909090909,0.8170072549019608,0.5257821212121212],"dir":"ltr"},{"str":"ii","boundary":[0.8170588235294118,0.5127286363636363,0.8284313725490197,0.5280316666666667],"dir":"ltr"},{"str":"براي","boundary":[0.78,0.5163284949100378,0.8063305882352941,0.5316315252130681],"dir":"rtl"},{"str":"هر","boundary":[0.7596078431372549,0.5163284949100378,0.7748766666666667,0.5316315252130681],"dir":"rtl"},{"str":"شیء","boundary":[0.726078431372549,0.5163284949100378,0.7545749019607844,0.5316315252130681],"dir":"rtl"},{"str":"1","boundary":[0.5674509803921568,0.51252,0.576095294117647,0.5267624242424243],"dir":"ltr"},{"str":"∈","boundary":[0.59,0.51205,0.6031415686274509,0.5262924242424242],"dir":"ltr"},{"str":"ACHom(A,A),A","boundary":[0.5745098039215687,0.5136736363636364,0.7249482352941177,0.531439696969697],"dir":"ltr"},{"str":"موجود","boundary":[0.5233333333333334,0.5163284949100378,0.5620584313725491,0.5316315252130681],"dir":"rtl"},{"str":"باش","boundary":[0.49977921568627465,0.5163284949100378,0.5181770588235295,0.5316315252130681],"dir":"rtl"},{"str":"که","boundary":[0.46960784313725495,0.5163284949100378,0.48565862745098043,0.5316315252130681],"dir":"rtl"},{"str":"براي","boundary":[0.4382352941176471,0.5163284949100378,0.4643792156862746,0.5316315252130681],"dir":"rtl"},{"str":"هر","boundary":[0.417843137254902,0.5163284949100378,0.43311196078431374,0.5316315252130681],"dir":"rtl"},{"str":"1A","boundary":[0.23627450980392156,0.51252,0.2541796078431373,0.531439696969697],"dir":"ltr"},{"str":"=","boundary":[0.26039215686274514,0.51205,0.2705109803921569,0.5262924242424242],"dir":"ltr"},{"str":"،","boundary":[0.28705882352941176,0.5163284949100378,0.29109882352941174,0.5316315252130681],"dir":"ltr"},{"str":"∈","boundary":[0.3045098039215686,0.51205,0.31765137254901965,0.5262924242424242],"dir":"ltr"},{"str":"f.F","boundary":[0.2227450980392157,0.5136736363636364,0.32230666666666663,0.5279160606060606],"dir":"ltr"},{"str":"CfHom(A,B)","boundary":[0.2937254901960784,0.5136736363636364,0.41421019607843135,0.531439696969697],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.5587676816998106,0.8279582352941176,0.5740707120028409],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.5529033333333334,0.7854031372549021,0.5682063636363637],"dir":"ltr"},{"str":"ریختار","boundary":[0.7372549019607844,0.5587527373342803,0.7762086274509804,0.5740557676373106],"dir":"rtl"},{"str":"→","boundary":[0.6986274509803921,0.5550818181818182,0.7164321568627451,0.5690212121212123],"dir":"ltr"},{"str":"F:AB","boundary":[0.658235294117647,0.5566709090909091,0.7652823529411765,0.5706103030303031],"dir":"ltr"},{"str":"را","boundary":[0.6413725490196079,0.5587527373342803,0.6505417647058824,0.5740557676373106],"dir":"rtl"},{"str":"هم","boundary":[0.6184313725490196,0.5587527373342803,0.6362925490196079,0.5740557676373106],"dir":"rtl"},{"str":"ارزي","boundary":[0.5850980392156864,0.5587527373342803,0.6134664705882354,0.5740557676373106],"dir":"rtl"},{"str":"گوییم","boundary":[0.5449019607843137,0.5587527373342803,0.580148431372549,0.5740557676373106],"dir":"rtl"},{"str":"هرگاه","boundary":[0.506078431372549,0.5587527373342803,0.539431568627451,0.5740557676373106],"dir":"rtl"},{"str":"ریختار","boundary":[0.46235294117647063,0.5587527373342803,0.5008858823529412,0.5740557676373106],"dir":"rtl"},{"str":"→","boundary":[0.42137254901960786,0.5550818181818182,0.43917725490196075,0.5690212121212123],"dir":"ltr"},{"str":"g:BA","boundary":[0.38313725490196077,0.5566709090909091,0.48785490196078424,0.5706103030303031],"dir":"ltr"},{"str":"موجود","boundary":[0.33686274509803926,0.5587527373342803,0.37522019607843143,0.5740557676373106],"dir":"rtl"},{"str":"باش","boundary":[0.31330862745098037,0.5587527373342803,0.33190254901960786,0.5740557676373106],"dir":"rtl"},{"str":".","boundary":[0.3007843137254902,0.5529033333333334,0.3040123529411765,0.5682063636363637],"dir":"ltr"},{"str":"تعری","boundary":[0.801381568627451,0.5955858635179925,0.8279672549019609,0.6108888938210227],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.5897215151515152,0.7851617647058825,0.6050245454545455],"dir":"ltr"},{"str":"رسته","boundary":[0.7454901960784315,0.5955709191524622,0.7763982352941178,0.6108739494554924],"dir":"rtl"},{"str":"ي","boundary":[0.7272549019607844,0.5955709191524622,0.7402037254901962,0.6108739494554924],"dir":"rtl"},{"str":"C","boundary":[0.713921568627451,0.5919710606060606,0.7272664705882353,0.6072740909090909],"dir":"ltr"},{"str":"را","boundary":[0.699607843137255,0.5955709191524622,0.7087770588235295,0.6108739494554924],"dir":"rtl"},{"str":"ملموس","boundary":[0.65,0.5955709191524622,0.693983137254902,0.6108739494554924],"dir":"rtl"},{"str":"نامن","boundary":[0.6240929411764706,0.5955709191524622,0.6450609803921569,0.6108739494554924],"dir":"rtl"},{"str":"هرگاه","boundary":[0.5758823529411765,0.5955709191524622,0.6096058823529412,0.6108739494554924],"dir":"rtl"},{"str":"تابعی","boundary":[0.5392156862745098,0.5955709191524622,0.5709241176470587,0.6108739494554924],"dir":"rtl"},{"str":"مانن","boundary":[0.5133086274509804,0.5955709191524622,0.5343080392156863,0.6108739494554924],"dir":"rtl"},{"str":"σ","boundary":[0.4817647058823529,0.5912946969696969,0.49252411764705883,0.6050825757575757],"dir":"ltr"},{"str":"موجود","boundary":[0.4337254901960786,0.5955709191524622,0.4724403921568629,0.6108739494554924],"dir":"rtl"},{"str":"باش","boundary":[0.4103674509803923,0.5955709191524622,0.4285692156862747,0.6108739494554924],"dir":"rtl"},{"str":"که","boundary":[0.3801960784313727,0.5955709191524622,0.3958213725490198,0.6108739494554924],"dir":"rtl"},{"str":"به","boundary":[0.36333333333333345,0.5955709191524622,0.3747800000000001,0.6108739494554924],"dir":"rtl"},{"str":"شیء","boundary":[0.329607843137255,0.5955709191524622,0.3581043137254903,0.6108739494554924],"dir":"rtl"},{"str":"A","boundary":[0.31000000000000016,0.5919710606060606,0.3242984313725492,0.6072740909090909],"dir":"ltr"},{"str":"مجموعه","boundary":[0.2560784313725492,0.5955709191524622,0.3046178431372551,0.6108739494554924],"dir":"rtl"},{"str":"σ(A)","boundary":[0.21490196078431376,0.5917484848484849,0.25396313725490194,0.6072769696969698],"dir":"ltr"},{"str":"را","boundary":[0.197843137254902,0.5955709191524621,0.20701235294117648,0.6108739494554923],"dir":"rtl"},{"str":"متناظر","boundary":[0.1523529411764706,0.5955709191524621,0.19290960784313727,0.6108739494554923],"dir":"rtl"},{"str":"کن","boundary":[0.12781843137254903,0.5955709191524621,0.14740313725490195,0.6108739494554923],"dir":"rtl"},{"str":"با","boundary":[0.8200000000000003,0.6311769797585227,0.8283978431372552,0.646480010061553],"dir":"rtl"},{"str":"این","boundary":[0.795294117647059,0.6311769797585227,0.8151829411764708,0.646480010061553],"dir":"rtl"},{"str":"ویژگی","boundary":[0.7523529411764709,0.6311769797585227,0.7902156862745101,0.646480010061553],"dir":"rtl"},{"str":"کن","boundary":[0.7339215686274512,0.6311769797585227,0.7474278431372552,0.646480010061553],"dir":"rtl"},{"str":"با","boundary":[0.7115686274509806,0.6311769797585227,0.7195743137254904,0.646480010061553],"dir":"rtl"},{"str":"این","boundary":[0.6868627450980395,0.6311769797585227,0.7063570588235296,0.646480010061553],"dir":"rtl"},{"str":"ویژگی","boundary":[0.6439215686274511,0.6311769797585227,0.6819803921568629,0.646480010061553],"dir":"rtl"},{"str":"که","boundary":[0.6233333333333334,0.6311769797585227,0.6389586274509805,0.646480010061553],"dir":"rtl"},{"str":":","boundary":[0.6200000000000001,0.6253275757575757,0.6232280392156864,0.6406306060606061],"dir":"ltr"},{"str":"(","boundary":[0.8168627450980395,0.6594184848484848,0.8224974509803925,0.674721515151515],"dir":"ltr"},{"str":"i","boundary":[0.8227450980392159,0.6616680303030302,0.828320392156863,0.6769710606060606],"dir":"ltr"},{"str":"هر","boundary":[0.796666666666667,0.6652678888494318,0.8119354901960787,0.680570919152462],"dir":"rtl"},{"str":"ریختار","boundary":[0.7529411764705886,0.6652678888494318,0.7918949019607846,0.680570919152462],"dir":"rtl"},{"str":"→","boundary":[0.7141176470588235,0.6615969696969697,0.7319223529411765,0.6755363636363635],"dir":"ltr"},{"str":"F:AB","boundary":[0.673921568627451,0.6631860606060606,0.7807725490196079,0.6771254545454545],"dir":"ltr"},{"str":"تابعی","boundary":[0.6347058823529411,0.6652678888494318,0.6666080392156862,0.680570919152462],"dir":"rtl"},{"str":"از","boundary":[0.6203921568627451,0.6652678888494318,0.6295613725490196,0.680570919152462],"dir":"rtl"},{"str":"σ","boundary":[0.5792156862745098,0.6615969696969697,0.5900933333333334,0.6755363636363635],"dir":"ltr"},{"str":"(A)","boundary":[0.5907843137254902,0.6631860606060606,0.6186690196078432,0.6771254545454545],"dir":"ltr"},{"str":"به","boundary":[0.56,0.6652678888494318,0.5714466666666667,0.680570919152462],"dir":"rtl"},{"str":"σ","boundary":[0.52,0.6615969696969697,0.5308776470588236,0.6755363636363635],"dir":"ltr"},{"str":"(B)","boundary":[0.5315686274509804,0.6631860606060606,0.5571121568627451,0.6771254545454545],"dir":"ltr"},{"str":"باش","boundary":[0.49428901960784327,0.6652678888494318,0.5126868627450981,0.680570919152462],"dir":"rtl"},{"str":".","boundary":[0.48156862745098045,0.6594184848484848,0.48479666666666665,0.674721515151515],"dir":"ltr"},{"str":"(","boundary":[0.811372549019608,0.6938124242424242,0.8170072549019609,0.7091154545454544],"dir":"ltr"},{"str":"ii","boundary":[0.8170588235294118,0.6960619696969697,0.8284313725490197,0.711365],"dir":"ltr"},{"str":"براي","boundary":[0.7800000000000001,0.6996618282433712,0.8063305882352942,0.7149648585464015],"dir":"rtl"},{"str":"هر","boundary":[0.7596078431372549,0.6996618282433712,0.7748766666666668,0.7149648585464015],"dir":"rtl"},{"str":"شیء","boundary":[0.7260784313725491,0.6996618282433712,0.7545749019607845,0.7149648585464015],"dir":"rtl"},{"str":"A","boundary":[0.7064705882352942,0.6960619696969697,0.7208388235294119,0.711365],"dir":"ltr"},{"str":"از","boundary":[0.6923529411764707,0.6996618282433712,0.7015221568627452,0.7149648585464015],"dir":"rtl"},{"str":"l","boundary":[0.6592156862745098,0.6932612121212122,0.6672149019607843,0.7075036363636364],"dir":"ltr"},{"str":"1A","boundary":[0.6711764705882353,0.6958533333333334,0.6892776470588236,0.7147730303030304],"dir":"ltr"},{"str":"تابع","boundary":[0.6292156862745099,0.6996618282433713,0.6520935294117648,0.7149648585464016],"dir":"rtl"},{"str":"همان","boundary":[0.591764705882353,0.6996618282433713,0.6241545098039216,0.7149648585464016],"dir":"rtl"},{"str":"روي","boundary":[0.5611764705882353,0.6996618282433713,0.5865478431372549,0.7149648585464016],"dir":"rtl"},{"str":"σ","boundary":[0.5198039215686274,0.695839393939394,0.530681568627451,0.7097787878787879],"dir":"ltr"},{"str":"(A)","boundary":[0.5313725490196078,0.697428484848485,0.5592572549019608,0.7113678787878788],"dir":"ltr"},{"str":"باش","boundary":[0.4940929411764707,0.6996618282433713,0.5124907843137256,0.7149648585464016],"dir":"rtl"},{"str":".","boundary":[0.48137254901960785,0.6938124242424243,0.4846005882352941,0.7091154545454547],"dir":"ltr"},{"str":"(","boundary":[0.8058823529411765,0.7280548484848486,0.8119092156862746,0.7433578787878788],"dir":"ltr"},{"str":"iii","boundary":[0.8115686274509805,0.7303043939393941,0.8284466666666668,0.7456074242424243],"dir":"ltr"},{"str":"ترکیب","boundary":[0.7609803921568628,0.7339042524857956,0.8005017647058824,0.7492072827888259],"dir":"rtl"},{"str":"دو","boundary":[0.7415686274509804,0.7339042524857956,0.7557372549019609,0.7492072827888259],"dir":"rtl"},{"str":"ریختار","boundary":[0.6974509803921569,0.7339042524857956,0.736404705882353,0.7492072827888259],"dir":"rtl"},{"str":"→","boundary":[0.5725490196078431,0.7302333333333334,0.590353725490196,0.7441727272727273],"dir":"ltr"},{"str":"،g:BC","boundary":[0.5347058823529411,0.7318224242424243,0.6370588235294118,0.7492072827888259],"dir":"ltr"},{"str":"→","boundary":[0.6588235294117647,0.7302333333333334,0.6766282352941176,0.7441727272727273],"dir":"ltr"},{"str":"F:AB","boundary":[0.6184313725490196,0.7318224242424243,0.725478431372549,0.7457618181818182],"dir":"ltr"},{"str":"ترکیب","boundary":[0.4872549019607844,0.7339042524857956,0.5267682352941178,0.7492072827888259],"dir":"rtl"},{"str":"آنها","boundary":[0.4611764705882353,0.7339042524857956,0.48185960784313725,0.7492072827888259],"dir":"rtl"},{"str":"به","boundary":[0.4443137254901961,0.7339042524857956,0.45576039215686276,0.7492072827888259],"dir":"rtl"},{"str":"عنوان","boundary":[0.40490196078431373,0.7339042524857956,0.43898450980392156,0.7492072827888259],"dir":"rtl"},{"str":"توابعی","boundary":[0.3623529411764706,0.7339042524857956,0.3996213725490196,0.7492072827888259],"dir":"rtl"},{"str":"از","boundary":[0.34784313725490196,0.7339042524857956,0.35701235294117645,0.7492072827888259],"dir":"rtl"},{"str":"σ","boundary":[0.3066666666666667,0.7302333333333334,0.3175443137254902,0.7441727272727273],"dir":"ltr"},{"str":"(A)","boundary":[0.31823529411764706,0.7318224242424243,0.34612,0.7457618181818182],"dir":"ltr"},{"str":"به","boundary":[0.2809803921568627,0.7339042524857956,0.29860313725490195,0.7492072827888259],"dir":"rtl"},{"str":"σ","boundary":[0.24098039215686273,0.7302333333333334,0.2518580392156862,0.7441727272727273],"dir":"ltr"},{"str":"(B)","boundary":[0.25254901960784315,0.7318224242424243,0.27809254901960784,0.7457618181818182],"dir":"ltr"},{"str":"و","boundary":[0.22666666666666666,0.7339042524857956,0.23304352941176468,0.7492072827888259],"dir":"rtl"},{"str":"σ","boundary":[0.18666666666666665,0.7302333333333334,0.1975443137254902,0.7441727272727273],"dir":"ltr"},{"str":"(B)","boundary":[0.19823529411764704,0.7318224242424243,0.22377882352941178,0.7457618181818182],"dir":"ltr"},{"str":"به","boundary":[0.16098039215686274,0.7339042524857956,0.17860313725490193,0.7492072827888259],"dir":"rtl"},{"str":"σ","boundary":[0.12098039215686275,0.7302333333333334,0.13185803921568628,0.7441727272727273],"dir":"ltr"},{"str":"(C)","boundary":[0.13254901960784315,0.7318224242424243,0.15848470588235294,0.7457618181818182],"dir":"ltr"},{"str":"باش","boundary":[0.8099752941176471,0.7682981918797349,0.828373137254902,0.7836012221827653],"dir":"rtl"},{"str":".","boundary":[0.7972549019607843,0.762448787878788,0.8004829411764706,0.7777518181818183],"dir":"ltr"},{"str":"تعریف","boundary":[0.7907843137254903,0.8096618282433713,0.8284029411764706,0.8249648585464017],"dir":"rtl"},{"str":":","boundary":[0.7809803921568628,0.8038124242424243,0.7842782352941177,0.8191154545454546],"dir":"ltr"},{"str":"فرض","boundary":[0.7401960784313727,0.8096618282433713,0.7708921568627451,0.8249648585464017],"dir":"rtl"},{"str":"کنی","boundary":[0.7156615686274511,0.8096618282433713,0.7352674509803924,0.8249648585464017],"dir":"rtl"},{"str":"C","boundary":[0.6880392156862746,0.8060619696969699,0.7013182352941177,0.8213650000000001],"dir":"ltr"},{"str":"رستهي","boundary":[0.6394117647058825,0.8096618282433713,0.683260980392157,0.8249648585464017],"dir":"rtl"},{"str":"ملموس","boundary":[0.5900000000000001,0.8096618282433713,0.6343998039215687,0.8249648585464017],"dir":"rtl"},{"str":"باش","boundary":[0.5668380392156863,0.8096618282433713,0.5850398039215687,0.8249648585464017],"dir":"rtl"},{"str":"F","boundary":[0.5372549019607844,0.8060619696969699,0.548200980392157,0.8213650000000001],"dir":"ltr"},{"str":"،","boundary":[0.5533333333333335,0.8096618282433713,0.5574509803921569,0.8249648585464017],"dir":"ltr"},{"str":"شی","boundary":[0.5096078431372549,0.8096618282433713,0.5320258823529412,0.8249648585464017],"dir":"rtl"},{"str":"در","boundary":[0.49098039215686284,0.8096618282433713,0.5048035294117649,0.8249648585464017],"dir":"rtl"},{"str":"C","boundary":[0.47274509803921577,0.8060619696969699,0.4859543137254903,0.8213650000000001],"dir":"ltr"},{"str":"روي","boundary":[0.4421568627450982,0.8096618282433713,0.46772431372549034,0.8249648585464017],"dir":"rtl"},{"str":"مجموعهي","boundary":[0.37549019607843154,0.8096618282433713,0.4369707843137256,0.8249648585464017],"dir":"rtl"},{"str":"ناتهی","boundary":[0.3384313725490198,0.8096618282433713,0.3707554901960786,0.8249648585464017],"dir":"rtl"},{"str":"X","boundary":[0.31901960784313743,0.8060619696969699,0.33358588235294134,0.8213650000000001],"dir":"ltr"},{"str":"آزاد","boundary":[0.2921568627450982,0.8096618282433713,0.3138647058823531,0.8249648585464017],"dir":"rtl"},{"str":"است","boundary":[0.2594117647058825,0.8096618282433713,0.2873605882352943,0.8249648585464017],"dir":"rtl"},{"str":"هرگاه","boundary":[0.22078431372549034,0.8096618282433713,0.25410176470588247,0.8249648585464017],"dir":"rtl"},{"str":"j:XF","boundary":[0.12294117647058822,0.8075800000000001,0.22073098039215686,0.821519393939394],"dir":"ltr"},{"str":"تابع","boundary":[0.19313725490196093,0.8096618282433713,0.21584745098039232,0.8249648585464017],"dir":"rtl"},{"str":"→","boundary":[0.15705882352941178,0.8059909090909092,0.1748635294117647,0.8199303030303031],"dir":"ltr"},{"str":"%","boundary":[0.36392156862745095,0.8347996969696969,0.371150559067451,0.851574586060606],"dir":"ltr"},{"str":"موجود","boundary":[0.7894117647058825,0.8452678888494318,0.8281021568627451,0.8605709191524622],"dir":"rtl"},{"str":"باش","boundary":[0.7660537254901962,0.8452678888494318,0.7842554901960785,0.8605709191524622],"dir":"rtl"},{"str":"که","boundary":[0.7358823529411765,0.8452678888494318,0.7515076470588236,0.8605709191524622],"dir":"rtl"},{"str":"براي","boundary":[0.7041176470588235,0.8452678888494318,0.7306443137254902,0.8605709191524622],"dir":"rtl"},{"str":"هر","boundary":[0.6837254901960784,0.8452678888494318,0.698611568627451,0.8605709191524622],"dir":"rtl"},{"str":"F:XA","boundary":[0.5758823529411765,0.8431860606060606,0.6829411764705882,0.8571254545454545],"dir":"ltr"},{"str":"تابع","boundary":[0.656078431372549,0.8452678888494318,0.6789562745098039,0.8605709191524622],"dir":"rtl"},{"str":"→","boundary":[0.6158823529411765,0.8415969696969697,0.6336870588235294,0.8555363636363637],"dir":"ltr"},{"str":"ریختار","boundary":[0.5292156862745098,0.8452678888494318,0.5681694117647058,0.8605709191524622],"dir":"rtl"},{"str":"منحصر","boundary":[0.4813725490196078,0.8452678888494318,0.5240649019607843,0.8605709191524622],"dir":"rtl"},{"str":"به","boundary":[0.4645098039215686,0.8452678888494318,0.47595647058823526,0.8605709191524622],"dir":"rtl"},{"str":"F:FA","boundary":[0.3627450980392157,0.8428995454545454,0.46479176470588235,0.8569904545454544],"dir":"ltr"},{"str":"فرد","boundary":[0.43921568627450974,0.8452678888494318,0.45933921568627445,0.8605709191524622],"dir":"rtl"},{"str":"→","boundary":[0.39882352941176474,0.8412931818181819,0.41682176470588234,0.855384090909091],"dir":"ltr"},{"str":"موجود","boundary":[0.3160784313725491,0.8452678888494318,0.3545829411764707,0.8605709191524622],"dir":"rtl"},{"str":"باش","boundary":[0.29252431372549026,0.8452678888494318,0.31072607843137257,0.8605709191524622],"dir":"rtl"},{"str":"که","boundary":[0.2564705882352942,0.8452678888494318,0.2782719607843138,0.8605709191524622],"dir":"rtl"},{"str":"نمودار","boundary":[0.2090196078431373,0.8452678888494318,0.2515841176470589,0.8605709191524622],"dir":"rtl"},{"str":"زیر","boundary":[0.18000000000000005,0.8452678888494318,0.204183137254902,0.8605709191524622],"dir":"rtl"},{"str":"جابجایی","boundary":[0.11843137254901964,0.8452678888494318,0.17543980392156866,0.8605709191524622],"dir":"rtl"},{"str":"باش","boundary":[0.8099752941176472,0.8796618282433712,0.8283731372549021,0.8949648585464015],"dir":"rtl"},{"str":".","boundary":[0.7972549019607844,0.8738124242424242,0.8004829411764707,0.8891154545454546],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.82845,0.89496],"dir":"ltr","type":"paragraph"},{"words":[{"str":"16","boundary":[0.14,0.9332466666666668,0.15527686274509805,0.947489090909091],"dir":"ltr"}],"boundary":[0.14,0.93325,0.15528,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":16,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/f14ec96fdf8e4e79e8ad925be0b88b55.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/c26e07a0faba465dffe9c09da81b3cf7.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.10909,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"}],"boundary":[0.75667,0.06988,0.89091,0.08413],"dir":"rtl","type":"paragraph"},{"words":[{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"}],"boundary":[0.70431,0.06988,0.74034,0.08413],"dir":"rtl","type":"paragraph"},{"words":[{"str":"تعری","boundary":[0.858023725490196,0.195131318063447,0.884813725490196,0.21043434836647731],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.18926696969696974,0.8420698039215686,0.20457000000000003],"dir":"ltr"},{"str":"فرض","boundary":[0.8019607843137254,0.1951163736979167,0.832656862745098,0.21041940400094702],"dir":"rtl"},{"str":"کنی","boundary":[0.7772301960784314,0.1951163736979167,0.7968360784313725,0.21041940400094702],"dir":"rtl"},{"str":"C","boundary":[0.7494117647058823,0.19151651515151516,0.7626209803921569,0.20681954545454548],"dir":"ltr"},{"str":"و","boundary":[0.7380392156862745,0.1951163736979167,0.7444160784313726,0.21041940400094702],"dir":"rtl"},{"str":"D","boundary":[0.7184313725490196,0.19151651515151516,0.7327298039215686,0.20681954545454548],"dir":"ltr"},{"str":"دو","boundary":[0.699607843137255,0.1951163736979167,0.7137372549019608,0.21041940400094702],"dir":"rtl"},{"str":"رسته","boundary":[0.6637254901960785,0.1951163736979167,0.6944541176470589,0.21041940400094702],"dir":"rtl"},{"str":"باشن","boundary":[0.6344850980392158,0.1951163736979167,0.6587864705882354,0.21041940400094702],"dir":"rtl"},{"str":"یک","boundary":[0.5988235294117649,0.1951163736979167,0.6201374509803923,0.21041940400094702],"dir":"rtl"},{"str":"تابعگون","boundary":[0.5480392156862747,0.1951163736979167,0.5940607843137257,0.21041940400094702],"dir":"rtl"},{"str":"همورد","boundary":[0.5050980392156864,0.1951163736979167,0.5429084313725492,0.21041940400094702],"dir":"rtl"},{"str":")","boundary":[0.49431372549019614,0.18926696969696974,0.5001960784313727,0.20457000000000003],"dir":"ltr"},{"str":"پادورد","boundary":[0.4572549019607844,0.1951163736979167,0.4946950980392158,0.21041940400094702],"dir":"rtl"},{"str":"(","boundary":[0.4515686274509804,0.18926696969696974,0.45720333333333335,0.20457000000000003],"dir":"ltr"},{"str":"متشکل","boundary":[0.40196078431372556,0.1951163736979167,0.44661392156862745,0.21041940400094702],"dir":"rtl"},{"str":"است","boundary":[0.36921568627450985,0.1951163736979167,0.39716450980392165,0.21041940400094702],"dir":"rtl"},{"str":"از","boundary":[0.35509803921568633,0.1951163736979167,0.3642672549019609,0.21041940400094702],"dir":"rtl"},{"str":"زوج","boundary":[0.32705882352941185,0.1951163736979167,0.3498811764705883,0.21041940400094702],"dir":"rtl"},{"str":"تابع","boundary":[0.29960784313725497,0.1951163736979167,0.32248568627450985,0.21041940400094702],"dir":"rtl"},{"str":"که","boundary":[0.27901960784313734,0.1951163736979167,0.2946449019607844,0.21041940400094702],"dir":"rtl"},{"str":"تابع","boundary":[0.25156862745098046,0.1951163736979167,0.27444647058823535,0.21041940400094702],"dir":"rtl"},{"str":"شی","boundary":[0.22392156862745102,0.1951163736979167,0.2463396078431373,0.21041940400094702],"dir":"rtl"},{"str":"به","boundary":[0.20137254901960788,0.1951163736979167,0.2189952941176471,0.21041940400094702],"dir":"rtl"},{"str":"هر","boundary":[0.17490196078431375,0.1951163736979167,0.19634686274509808,0.21041940400094702],"dir":"rtl"},{"str":"شی","boundary":[0.852156862745098,0.23072243430397738,0.8848686274509803,0.24602546460700767],"dir":"rtl"},{"str":"A","boundary":[0.8325490196078431,0.22712257575757583,0.8469450980392156,0.24242560606060615],"dir":"ltr"},{"str":"از","boundary":[0.8184313725490197,0.23072243430397738,0.8276005882352941,0.24602546460700767],"dir":"rtl"},{"str":"C","boundary":[0.8001960784313725,0.22712257575757583,0.8134052941176471,0.24242560606060615],"dir":"ltr"},{"str":"شیء","boundary":[0.7562745098039215,0.23072243430397738,0.7952607843137255,0.24602546460700767],"dir":"rtl"},{"str":"F(A)","boundary":[0.7123529411764705,0.22712257575757583,0.7515119607843137,0.24242560606060615],"dir":"ltr"},{"str":"از","boundary":[0.6980392156862745,0.23072243430397738,0.707208431372549,0.24602546460700767],"dir":"rtl"},{"str":"D","boundary":[0.6786274509803921,0.22712257575757583,0.6929258823529412,0.24242560606060615],"dir":"ltr"},{"str":"را","boundary":[0.664313725490196,0.23072243430397738,0.6734829411764705,0.24602546460700767],"dir":"rtl"},{"str":"نسبت","boundary":[0.6135294117647058,0.23072243430397738,0.6593001960784314,0.24602546460700767],"dir":"rtl"},{"str":"میده","boundary":[0.5535047058823529,0.23072243430397738,0.6084598039215686,0.24602546460700767],"dir":"rtl"},{"str":"،","boundary":[0.5401960784313725,0.23072243430397738,0.5441176470588235,0.24602546460700767],"dir":"ltr"},{"str":"تابع","boundary":[0.5023529411764704,0.23072243430397738,0.5354323529411764,0.24602546460700767],"dir":"rtl"},{"str":"ریختار","boundary":[0.44823529411764695,0.23072243430397738,0.49758117647058814,0.24602546460700767],"dir":"rtl"},{"str":"که","boundary":[0.4174509803921568,0.23072243430397738,0.44336999999999993,0.24602546460700767],"dir":"rtl"},{"str":"به","boundary":[0.39039215686274503,0.23072243430397738,0.412345294117647,0.24602546460700767],"dir":"rtl"},{"str":"هر","boundary":[0.3598039215686274,0.23072243430397738,0.38575862745098033,0.24602546460700767],"dir":"rtl"},{"str":"ریختار","boundary":[0.3058823529411764,0.23072243430397738,0.35503215686274503,0.24602546460700767],"dir":"rtl"},{"str":"→","boundary":[0.26705882352941174,0.2270515151515151,0.2848635294117647,0.24099090909090903],"dir":"ltr"},{"str":"F:AB","boundary":[0.22686274509803922,0.22864060606060602,0.33371372549019607,0.24257999999999996],"dir":"ltr"},{"str":"ریختار","boundary":[0.17490196078431375,0.23072243430397724,0.2238270588235294,0.24602546460700753],"dir":"rtl"},{"str":"→","boundary":[0.8235294117647058,0.2611416666666666,0.8415276470588234,0.2752325757575757],"dir":"ltr"},{"str":"F(f):F(A)F(B)","boundary":[0.7390196078431372,0.2627480303030303,0.8819260784313725,0.27683893939393933],"dir":"ltr"},{"str":"را","boundary":[0.7219607843137256,0.26511637369791663,0.7311300000000001,0.28041940400094695],"dir":"rtl"},{"str":"نسبت","boundary":[0.6815686274509803,0.26511637369791663,0.7169401960784314,0.28041940400094695],"dir":"rtl"},{"str":"میده","boundary":[0.6421321568627454,0.26511637369791663,0.6764013725490197,0.28041940400094695],"dir":"rtl"},{"str":".","boundary":[0.6294137254901963,0.25926696969696966,0.6327135294117648,0.27457],"dir":"ltr"},{"str":"با","boundary":[0.6164705882352942,0.26511637369791663,0.624476274509804,0.28041940400094695],"dir":"rtl"},{"str":"این","boundary":[0.5917647058823531,0.26511637369791663,0.6112598039215688,0.28041940400094695],"dir":"rtl"},{"str":"ویژگی","boundary":[0.5488235294117648,0.26511637369791663,0.5864901960784314,0.28041940400094695],"dir":"rtl"},{"str":"که","boundary":[0.5280392156862745,0.26511637369791663,0.5440900000000001,0.28041940400094695],"dir":"rtl"},{"str":":","boundary":[0.5249019607843137,0.25926696969696966,0.52813,0.27457],"dir":"ltr"},{"str":"=","boundary":[0.2207843137254902,0.2976575757575758,0.2306878431372549,0.3115969696969697],"dir":"ltr"},{"str":"F(fg)F(f)F(g)(F(g)F(f))","boundary":[0.17784313725490197,0.2992466666666667,0.3768627450980392,0.31318606060606063],"dir":"ltr"},{"str":"-","boundary":[0.8770588235294118,0.32775181818181814,0.8847511764705882,0.34305484848484846],"dir":"ltr"},{"str":"براي","boundary":[0.8507843137254901,0.3336012221827651,0.8773109803921568,0.3489042524857954],"dir":"rtl"},{"str":"R","boundary":[0.832549019607843,0.33000136363636356,0.8457582352941175,0.3453043939393939],"dir":"ltr"},{"str":"م","boundary":[0.8062498039215685,0.3336012221827651,0.8126464705882351,0.3489042524857954],"dir":"rtl"},{"str":"ول","boundary":[0.7796078431372548,0.3336012221827651,0.7968627450980391,0.3489042524857954],"dir":"rtl"},{"str":"چپ","boundary":[0.7498039215686273,0.3336012221827651,0.7746409803921568,0.3489042524857954],"dir":"rtl"},{"str":"KHom(M,)MR","boundary":[0.6207843137254903,0.327200606060606,0.7439733333333334,0.3487124242424242],"dir":"ltr"},{"str":"تابعگون","boundary":[0.5672549019607843,0.3336012221827651,0.6132764705882354,0.3489042524857954],"dir":"rtl"},{"str":"مورد","boundary":[0.5345098039215687,0.3336012221827651,0.5618949019607843,0.3489042524857954],"dir":"rtl"},{"str":"از","boundary":[0.5203921568627451,0.3336012221827651,0.5295613725490196,0.3489042524857954],"dir":"rtl"},{"str":"R","boundary":[0.4862745098039216,0.3368942424242424,0.49654745098039216,0.3487124242424242],"dir":"ltr"},{"str":"M","boundary":[0.49980392156862746,0.3309463636363636,0.5161894117647059,0.3451887878787878],"dir":"ltr"},{"str":"به","boundary":[0.46686274509803927,0.3336012221827651,0.47873490196078433,0.3489042524857954],"dir":"rtl"},{"str":"Ab","boundary":[0.4374509803921569,0.33000136363636356,0.46207686274509807,0.3453043939393939],"dir":"ltr"},{"str":"است","boundary":[0.40470588235294125,0.3336012221827651,0.432654705882353,0.3489042524857954],"dir":"rtl"},{"str":".","boundary":[0.4013725490196079,0.32775181818181814,0.4048133333333334,0.34305484848484846],"dir":"ltr"},{"str":"→","boundary":[0.1976470588235294,0.36447424242424237,0.21583882352941175,0.3787166666666666],"dir":"ltr"},{"str":"RNHom(M,N)","boundary":[0.1784313725490196,0.3660978787878788,0.3228043137254902,0.3838639393939393],"dir":"ltr"},{"str":":kN:Hom(M,k)Hom(M,N)φ→→φ→RR","boundary":[0.1776470588235294,0.3988681818181818,0.5945098039215687,0.4182578787878788],"dir":"ltr"},{"str":"-","boundary":[0.8770588235294118,0.43063060606060605,0.8847511764705882,0.44593363636363637],"dir":"ltr"},{"str":"براي","boundary":[0.8458823529411764,0.436480010061553,0.8720262745098039,0.4517830403645833],"dir":"rtl"},{"str":"-","boundary":[0.8199999999999998,0.43063060606060605,0.8272350980392156,0.44593363636363637],"dir":"ltr"},{"str":"R","boundary":[0.8276470588235293,0.43288015151515147,0.8406649019607842,0.4481831818181818],"dir":"ltr"},{"str":"م","boundary":[0.8087988235294117,0.436480010061553,0.8151954901960784,0.4517830403645833],"dir":"rtl"},{"str":"ول","boundary":[0.782156862745098,0.436480010061553,0.7994117647058823,0.4517830403645833],"dir":"rtl"},{"str":"راست","boundary":[0.7431372549019607,0.436480010061553,0.7770123529411764,0.4517830403645833],"dir":"rtl"},{"str":"M","boundary":[0.668235294117647,0.4339766666666667,0.6846207843137254,0.44821909090909084],"dir":"ltr"},{"str":"⊗","boundary":[0.687843137254902,0.43235303030303024,0.701998431372549,0.44659545454545446],"dir":"ltr"},{"str":"R","boundary":[0.7023529411764705,0.4399245454545454,0.7125541176470588,0.45174272727272724],"dir":"ltr"},{"str":"،M","boundary":[0.7160784313725489,0.43288015151515147,0.7378017647058822,0.4517830403645833],"dir":"ltr"},{"str":"تابعگون","boundary":[0.6145098039215687,0.436480010061553,0.6609168627450981,0.4517830403645833],"dir":"rtl"},{"str":"همورد","boundary":[0.5715686274509804,0.436480010061553,0.6097380392156863,0.4517830403645833],"dir":"rtl"},{"str":"از","boundary":[0.5574509803921569,0.436480010061553,0.5666201960784314,0.4517830403645833],"dir":"rtl"},{"str":"R","boundary":[0.5233333333333334,0.4399245454545454,0.5338023529411765,0.45174272727272724],"dir":"ltr"},{"str":"M","boundary":[0.5368627450980392,0.4339766666666667,0.5532482352941176,0.44821909090909084],"dir":"ltr"},{"str":"به","boundary":[0.5039215686274511,0.436480010061553,0.5157937254901961,0.4517830403645833],"dir":"rtl"},{"str":":","boundary":[0.4711764705882353,0.43063060606060605,0.4746172549019608,0.44593363636363637],"dir":"ltr"},{"str":"Ab","boundary":[0.47450980392156866,0.43288015151515147,0.4991356862745098,0.4481831818181818],"dir":"ltr"},{"str":"→⊗","boundary":[0.19784313725490196,0.4661416666666666,0.2801241176470588,0.4802325757575758],"dir":"ltr"},{"str":"NMN","boundary":[0.1784313725490196,0.4677480303030303,0.29126843137254904,0.4818389393939394],"dir":"ltr"},{"str":"R","boundary":[0.24235294117647063,0.4817262121212121,0.258571568627451,0.4933928787878788],"dir":"ltr"},{"str":"1Mφ→→⊗φ⊗→⊗:NK:MNMk","boundary":[0.1776470588235294,0.5082621212121212,0.49479098039215685,0.5276518181818183],"dir":"ltr"},{"str":"KHom(,N)","boundary":[0.2923529411764706,0.5396248484848485,0.39456901960784313,0.5576130303030302],"dir":"ltr"},{"str":"-","boundary":[0.39666666666666667,0.5400245454545455,0.3994570588235294,0.5553275757575757],"dir":"ltr"},{"str":"R","boundary":[0.3298039215686274,0.5493184848484848,0.3353690196078431,0.5611366666666666],"dir":"ltr"},{"str":"یک","boundary":[0.26352941176470596,0.5458739494554924,0.2844852941176471,0.5611769797585227],"dir":"rtl"},{"str":"تابعگون","boundary":[0.21254901960784317,0.5458739494554924,0.2589586274509804,0.5611769797585227],"dir":"rtl"},{"str":"پادور","boundary":[0.1780392156862745,0.5458739494554924,0.20770411764705884,0.5611769797585227],"dir":"rtl"},{"str":":","boundary":[0.17490196078431375,0.5400245454545455,0.17813,0.5553275757575757],"dir":"ltr"},{"str":"→","boundary":[0.20058823529411765,0.5768984848484848,0.21878,0.591140909090909],"dir":"ltr"},{"str":"RMHom(M,N)","boundary":[0.17784313725490197,0.5785221212121212,0.3271180392156863,0.5962881818181818],"dir":"ltr"},{"str":"ˆ","boundary":[0.28705882352941176,0.6118554545454545,0.40711294117647057,0.6260978787878787],"dir":"ltr"},{"str":":Mk:Hom(k,N)Hom(M,N)φ→→φ→RR","boundary":[0.1776470588235294,0.6111409090909091,0.5919607843137256,0.6305306060606061],"dir":"ltr"},{"str":"تعری","boundary":[0.858023725490196,0.657101015033144,0.884813725490196,0.6724040453361743],"dir":"rtl"},{"str":":","boundary":[0.8380392156862745,0.6512366666666667,0.8422658823529412,0.666539696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.8017647058823528,0.6570860706676137,0.8324607843137254,0.672389100970644],"dir":"rtl"},{"str":"کنی","boundary":[0.7770341176470588,0.6570860706676137,0.79664,0.672389100970644],"dir":"rtl"},{"str":"F","boundary":[0.7513725490196078,0.6534862121212122,0.7623835294117647,0.6687892424242425],"dir":"ltr"},{"str":"و","boundary":[0.7398039215686274,0.6570860706676137,0.7461807843137255,0.672389100970644],"dir":"rtl"},{"str":"G","boundary":[0.72,0.6534862121212122,0.7342984313725489,0.6687892424242425],"dir":"ltr"},{"str":"دو","boundary":[0.7007843137254901,0.6570860706676137,0.7148698039215685,0.672389100970644],"dir":"rtl"},{"str":"تابعگون","boundary":[0.6498039215686273,0.6570860706676137,0.6958254901960784,0.672389100970644],"dir":"rtl"},{"str":"همورد","boundary":[0.6066666666666666,0.6570860706676137,0.6444770588235293,0.672389100970644],"dir":"rtl"},{"str":")","boundary":[0.5956862745098038,0.6512366666666667,0.6015686274509804,0.666539696969697],"dir":"ltr"},{"str":"پادورد","boundary":[0.558627450980392,0.6570860706676137,0.5960798039215686,0.672389100970644],"dir":"rtl"},{"str":"(","boundary":[0.5529411764705882,0.6512366666666667,0.5587719607843136,0.666539696969697],"dir":"ltr"},{"str":"از","boundary":[0.538627450980392,0.6570860706676137,0.5477966666666666,0.672389100970644],"dir":"rtl"},{"str":"رسته","boundary":[0.5027450980392156,0.6570860706676137,0.5336531372549019,0.672389100970644],"dir":"rtl"},{"str":"C","boundary":[0.484313725490196,0.6534862121212122,0.4975947058823529,0.6687892424242425],"dir":"ltr"},{"str":"به","boundary":[0.4674509803921568,0.6570860706676137,0.47932313725490194,0.672389100970644],"dir":"rtl"},{"str":"D","boundary":[0.44784313725490194,0.6534862121212122,0.46235431372549013,0.6687892424242425],"dir":"ltr"},{"str":"باش","boundary":[0.4242890196078432,0.6570860706676137,0.4424907843137255,0.672389100970644],"dir":"rtl"},{"str":".","boundary":[0.41156862745098044,0.6512366666666667,0.4150625490196079,0.666539696969697],"dir":"ltr"},{"str":"در","boundary":[0.3927450980392157,0.6570860706676137,0.4065682352941177,0.672389100970644],"dir":"rtl"},{"str":"این","boundary":[0.367843137254902,0.6570860706676137,0.38733823529411765,0.672389100970644],"dir":"rtl"},{"str":"صورت","boundary":[0.32431372549019605,0.6570860706676137,0.36238215686274505,0.672389100970644],"dir":"rtl"},{"str":"تب","boundary":[0.3089949019607843,0.6570860706676137,0.3192731372549019,0.672389100970644],"dir":"rtl"},{"str":"یل","boundary":[0.28313725490196073,0.6570860706676137,0.29960784313725486,0.672389100970644],"dir":"rtl"},{"str":"طبیعی","boundary":[0.23058823529411762,0.6570860706676137,0.27795647058823525,0.672389100970644],"dir":"rtl"},{"str":"از","boundary":[0.21627450980392154,0.6570860706676137,0.22544372549019606,0.672389100970644],"dir":"rtl"},{"str":"C","boundary":[0.197843137254902,0.6534862121212122,0.21112411764705885,0.6687892424242425],"dir":"ltr"},{"str":"به","boundary":[0.17490196078431375,0.6570860706676137,0.19273745098039216,0.672389100970644],"dir":"rtl"},{"str":"D","boundary":[0.8701960784313725,0.6890922727272727,0.884592156862745,0.7043953030303031],"dir":"ltr"},{"str":"عبارت","boundary":[0.8276470588235294,0.6926921312736742,0.8650858823529411,0.7079951615767045],"dir":"rtl"},{"str":"است","boundary":[0.7947058823529412,0.6926921312736742,0.8226547058823528,0.7079951615767045],"dir":"rtl"},{"str":"از","boundary":[0.780392156862745,0.6926921312736742,0.7895613725490196,0.7079951615767045],"dir":"rtl"},{"str":"تابع","boundary":[0.7529411764705881,0.6926921312736742,0.7756513725490195,0.7079951615767045],"dir":"rtl"},{"str":"σ","boundary":[0.7327450980392157,0.6885674242424241,0.7435045098039216,0.7023553030303029],"dir":"ltr"},{"str":"که","boundary":[0.7113725490196079,0.6926921312736742,0.7269978431372549,0.7079951615767045],"dir":"rtl"},{"str":"به","boundary":[0.6947058823529412,0.6926921312736742,0.7065780392156863,0.7079951615767045],"dir":"rtl"},{"str":"هر","boundary":[0.6745098039215687,0.6926921312736742,0.6893958823529411,0.7079951615767045],"dir":"rtl"},{"str":"شی","boundary":[0.6470588235294118,0.6926921312736742,0.669476862745098,0.7079951615767045],"dir":"rtl"},{"str":"A","boundary":[0.6274509803921569,0.6890922727272727,0.6417494117647058,0.7043953030303031],"dir":"ltr"},{"str":"از","boundary":[0.6133333333333334,0.6926921312736742,0.6225025490196079,0.7079951615767045],"dir":"rtl"},{"str":"C","boundary":[0.5950980392156863,0.6890922727272727,0.6083072549019608,0.7043953030303031],"dir":"ltr"},{"str":"ریختار","boundary":[0.5513725490196079,0.6926921312736742,0.5899054901960784,0.7079951615767045],"dir":"rtl"},{"str":"(A):F(A)G(A)σ→","boundary":[0.3927450980392157,0.6888696969696971,0.5816329411764706,0.7043981818181818],"dir":"ltr"},{"str":"در","boundary":[0.37137254901960787,0.6926921312736742,0.38483647058823534,0.7079951615767045],"dir":"rtl"},{"str":"D","boundary":[0.3517647058823529,0.6890922727272727,0.36588352941176466,0.7043953030303031],"dir":"ltr"},{"str":"را","boundary":[0.3376470588235294,0.6926921312736742,0.34681627450980396,0.7079951615767045],"dir":"rtl"},{"str":"نسبت","boundary":[0.29705882352941176,0.6926921312736742,0.33243039215686276,0.7079951615767045],"dir":"rtl"},{"str":"میده","boundary":[0.2576470588235295,0.6926921312736742,0.29189156862745097,0.7079951615767045],"dir":"rtl"},{"str":".","boundary":[0.24509803921568638,0.6868427272727272,0.24859196078431384,0.7021457575757575],"dir":"ltr"},{"str":"و","boundary":[0.23352941176470596,0.6926921312736742,0.23990627450980398,0.7079951615767045],"dir":"rtl"},{"str":"به","boundary":[0.2170588235294118,0.6926921312736742,0.22850549019607846,0.7079951615767045],"dir":"rtl"},{"str":"علاوه","boundary":[0.17490196078431375,0.6926921312736742,0.21220627450980395,0.7079951615767045],"dir":"rtl"},{"str":"براي","boundary":[0.8582352941176471,0.7269345555160986,0.8843792156862745,0.7422375858191289],"dir":"rtl"},{"str":"هر","boundary":[0.8380392156862745,0.7269345555160986,0.8529252941176471,0.7422375858191289],"dir":"rtl"},{"str":"ریختار","boundary":[0.7943137254901961,0.7269345555160986,0.8328466666666666,0.7422375858191289],"dir":"rtl"},{"str":"→","boundary":[0.756078431372549,0.7232636363636363,0.773883137254902,0.7372030303030302],"dir":"ltr"},{"str":"f:AB","boundary":[0.7174509803921568,0.7248527272727272,0.8217529411764705,0.7387921212121211],"dir":"ltr"},{"str":"نمودار","boundary":[0.6735294117647059,0.7269345555160986,0.7096809803921569,0.7422375858191289],"dir":"rtl"},{"str":"زیر","boundary":[0.6505882352941177,0.7269345555160986,0.6687243137254902,0.7422375858191289],"dir":"rtl"},{"str":"جابجایی","boundary":[0.5949019607843138,0.7269345555160986,0.6458319607843137,0.7422375858191289],"dir":"rtl"},{"str":"است","boundary":[0.5619607843137255,0.7269345555160986,0.5897135294117647,0.7422375858191289],"dir":"rtl"},{"str":".","boundary":[0.5588235294117647,0.7210851515151516,0.562051568627451,0.7363881818181819],"dir":"ltr"},{"str":"σ(A)→F(A)G(A)","boundary":[0.21941176470588236,0.7566075757575758,0.37145764705882356,0.7776130303030303],"dir":"ltr"},{"str":"F(f)G(f)","boundary":[0.17784313725490197,0.7864009090909091,0.3850980392156863,0.8006433333333333],"dir":"ltr"},{"str":"↓↓","boundary":[0.2286274509803922,0.7847772727272727,0.4345098039215686,0.7990196969696969],"dir":"ltr"},{"str":"→F(B)G(B)σ(B)","boundary":[0.21941176470588236,0.805989393939394,0.3658047058823529,0.828409393939394],"dir":"ltr"}],"boundary":[0.1749,0.18927,0.88487,0.82841],"dir":"ltr","type":"paragraph"},{"words":[{"str":"17","boundary":[0.19607843137254902,0.934610303030303,0.21244274509803923,0.9488527272727273],"dir":"ltr"}],"boundary":[0.19608,0.93461,0.21244,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":17,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/de2011d09b32d0294eecd4def04d5faa.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/4a3d801b133579d6a46d066f991da7d4.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.04765,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"اگر","boundary":[0.8105882352941177,0.09981334339488636,0.8282496078431373,0.11511637369791668],"dir":"rtl"},{"str":"σ","boundary":[0.7966666666666666,0.09614318181818184,0.8074260784313726,0.10993106060606062],"dir":"ltr"},{"str":"یکریختی","boundary":[0.7349019607843137,0.09981334339488636,0.789235294117647,0.11511637369791668],"dir":"rtl"},{"str":"باش","boundary":[0.7115439215686274,0.09981334339488636,0.7299417647058823,0.11511637369791668],"dir":"rtl"},{"str":"σ","boundary":[0.6843137254901961,0.09614318181818184,0.695073137254902,0.10993106060606062],"dir":"ltr"},{"str":"،","boundary":[0.6980392156862745,0.09981334339488636,0.702156862745098,0.11511637369791668],"dir":"ltr"},{"str":"را","boundary":[0.6676470588235295,0.09981334339488636,0.676816274509804,0.11511637369791668],"dir":"rtl"},{"str":"یکریختی","boundary":[0.6084313725490196,0.09981334339488636,0.662764705882353,0.11511637369791668],"dir":"rtl"},{"str":"طبیعی","boundary":[0.562156862745098,0.09981334339488636,0.6034566666666668,0.11511637369791668],"dir":"rtl"},{"str":"نامن","boundary":[0.5366419607843138,0.09981334339488636,0.5572221568627451,0.11511637369791668],"dir":"rtl"},{"str":".","boundary":[0.523921568627451,0.09396393939393939,0.5271496078431371,0.1092669696969697],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.1424040453361743,0.8279582352941176,0.1577070756392046],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.136539696969697,0.7854031372549021,0.1518427272727273],"dir":"ltr"},{"str":"فرض","boundary":[0.7452941176470589,0.14238910097064397,0.7756074509803922,0.1576921312736743],"dir":"rtl"},{"str":"کنی","boundary":[0.7205635294117647,0.14238910097064397,0.740169411764706,0.1576921312736743],"dir":"rtl"},{"str":"،","boundary":[0.6860784313725491,0.14238910097064397,0.6901901960784315,0.1576921312736743],"dir":"ltr"},{"str":"F","boundary":[0.6947058823529412,0.13878924242424245,0.7055254901960785,0.15409227272727277],"dir":"ltr"},{"str":"تابعگونی","boundary":[0.6303921568627452,0.14238910097064397,0.6812917647058825,0.1576921312736743],"dir":"rtl"},{"str":"همورد","boundary":[0.5874509803921569,0.14238910097064397,0.6252756862745098,0.1576921312736743],"dir":"rtl"},{"str":"یا","boundary":[0.5731372549019609,0.14238910097064397,0.5823113725490197,0.1576921312736743],"dir":"rtl"},{"str":"پادورد","boundary":[0.5311764705882354,0.14238910097064397,0.5686186274509805,0.1576921312736743],"dir":"rtl"},{"str":"باش","boundary":[0.5080145098039216,0.14238910097064397,0.526216274509804,0.1576921312736743],"dir":"rtl"},{"str":"F","boundary":[0.4794117647058824,0.13878924242424245,0.4904945098039217,0.15409227272727277],"dir":"ltr"},{"str":".","boundary":[0.49529411764705883,0.136539696969697,0.49819980392156865,0.1518427272727273],"dir":"ltr"},{"str":"را","boundary":[0.4652941176470588,0.14238910097064397,0.4744633333333333,0.1576921312736743],"dir":"rtl"},{"str":"تابعگون","boundary":[0.41450980392156866,0.14238910097064397,0.46072509803921563,0.1576921312736743],"dir":"rtl"},{"str":"دقیق","boundary":[0.3782352941176471,0.14238910097064397,0.4098109803921569,0.1576921312736743],"dir":"rtl"},{"str":"چپ","boundary":[0.34862745098039216,0.14238910097064397,0.3734645098039216,0.1576921312736743],"dir":"rtl"},{"str":")","boundary":[0.337843137254902,0.136539696969697,0.34372549019607845,0.1518427272727273],"dir":"ltr"},{"str":"راست","boundary":[0.303921568627451,0.14238910097064397,0.3377800000000001,0.1576921312736743],"dir":"rtl"},{"str":"(","boundary":[0.2980433333333334,0.136539696969697,0.3036821568627452,0.1518427272727273],"dir":"ltr"},{"str":"نامن","boundary":[0.27252431372549024,0.14238910097064397,0.2931045098039216,0.1576921312736743],"dir":"rtl"},{"str":".","boundary":[0.2598039215686275,0.136539696969697,0.263297843137255,0.1518427272727273],"dir":"ltr"},{"str":"اگر","boundary":[0.23705882352941182,0.14238910097064397,0.25451941176470594,0.1576921312736743],"dir":"rtl"},{"str":"براي","boundary":[0.20549019607843144,0.14238910097064397,0.23199411764705893,0.1576921312736743],"dir":"rtl"},{"str":"دنبالهي","boundary":[0.1545098039215686,0.14238910097064397,0.20084352941176478,0.1576921312736743],"dir":"rtl"},{"str":"دقیق","boundary":[0.11843137254901959,0.14238910097064397,0.14961490196078428,0.1576921312736743],"dir":"rtl"},{"str":"00","boundary":[0.6213725490196078,0.17478424242424237,0.9523529411764704,0.1887236363636363],"dir":"ltr"},{"str":"کوتاه","boundary":[0.7984313725490196,0.17799516157670464,0.828019411764706,0.19329819187973496],"dir":"rtl"},{"str":"MNk","boundary":[0.6590196078431373,0.17591333333333345,0.7889364705882352,0.18985272727272737],"dir":"ltr"},{"str":"→→→→","boundary":[0.6350980392156863,0.17432424242424238,0.8049019607843138,0.1882636363636363],"dir":"ltr"},{"str":"داشته","boundary":[0.5805882352941177,0.1779951615767045,0.6155954901960785,0.19329819187973482],"dir":"rtl"},{"str":"باشیم","boundary":[0.541372549019608,0.1779951615767045,0.5756739215686275,0.19329819187973482],"dir":"rtl"},{"str":".","boundary":[0.5380392156862746,0.17214575757575754,0.5412672549019608,0.18744878787878785],"dir":"ltr"},{"str":"→→→→→→","boundary":[0.13254901960784315,0.20659696969696972,0.6227450980392157,0.22053636363636364],"dir":"ltr"},{"str":"F(M)F(N)F(K)(F(M)F(N)F(K))","boundary":[0.15647058823529414,0.20818606060606065,0.6271482352941177,0.2221254545454546],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.24816162109375003,0.8279582352941176,0.2634646513967803],"dir":"rtl"},{"str":":","boundary":[0.781372549019608,0.24229727272727275,0.7853333333333333,0.25760030303030307],"dir":"ltr"},{"str":"فرض","boundary":[0.7454901960784314,0.24814667672821974,0.7758035294117647,0.26344970703125004],"dir":"rtl"},{"str":"کنی","boundary":[0.7207596078431373,0.24814667672821974,0.7403654901960786,0.26344970703125004],"dir":"rtl"},{"str":"-","boundary":[0.659607843137255,0.24229727272727275,0.6668429411764707,0.25760030303030307],"dir":"ltr"},{"str":"R","boundary":[0.6672549019607844,0.2445468181818182,0.6802727450980394,0.2598498484848485],"dir":"ltr"},{"str":"،","boundary":[0.685686274509804,0.24814667672821974,0.6895349019607844,0.26344970703125004],"dir":"ltr"},{"str":"F","boundary":[0.6949019607843138,0.2445468181818182,0.7057215686274511,0.2598498484848485],"dir":"ltr"},{"str":"م","boundary":[0.6482105882352941,0.24814667672821974,0.6546072549019608,0.26344970703125004],"dir":"rtl"},{"str":"ول","boundary":[0.6215686274509804,0.24814667672821974,0.6388235294117648,0.26344970703125004],"dir":"rtl"},{"str":"باش","boundary":[0.5982105882352942,0.24814667672821974,0.6166084313725491,0.26344970703125004],"dir":"rtl"},{"str":"X،","boundary":[0.5701960784313727,0.2445468181818182,0.5888235294117647,0.26344970703125004],"dir":"ltr"},{"str":"را","boundary":[0.5556862745098039,0.24814667672821974,0.5648554901960784,0.26344970703125004],"dir":"rtl"},{"str":"یک","boundary":[0.5294117647058824,0.24814667672821974,0.5507598039215686,0.26344970703125004],"dir":"rtl"},{"str":"مول","boundary":[0.5072301960784315,0.24814667672821974,0.5242219607843137,0.26344970703125004],"dir":"rtl"},{"str":"براي","boundary":[0.4662745098039216,0.24814667672821974,0.49260509803921576,0.26344970703125004],"dir":"rtl"},{"str":"F","boundary":[0.4498039215686274,0.2445468181818182,0.4608149019607843,0.2598498484848485],"dir":"ltr"},{"str":"گوییم","boundary":[0.4096078431372549,0.24814667672821974,0.44485431372549017,0.26344970703125004],"dir":"rtl"},{"str":"هرگاه","boundary":[0.3709803921568628,0.24814667672821974,0.4043335294117647,0.26344970703125004],"dir":"rtl"},{"str":"هر","boundary":[0.35058823529411764,0.24814667672821974,0.3658570588235294,0.26344970703125004],"dir":"rtl"},{"str":"عضو","boundary":[0.3133333333333333,0.24814667672821974,0.3457086274509804,0.26344970703125004],"dir":"rtl"},{"str":"F","boundary":[0.29725490196078436,0.2445468181818182,0.3082658823529412,0.2598498484848485],"dir":"ltr"},{"str":"ترکیب","boundary":[0.24647058823529416,0.24814667672821974,0.2924374509803922,0.26344970703125004],"dir":"rtl"},{"str":"خطی","boundary":[0.20254901960784316,0.24814667672821974,0.24169725490196078,0.26344970703125004],"dir":"rtl"},{"str":"از","boundary":[0.18843137254901965,0.24814667672821974,0.19760058823529414,0.26344970703125004],"dir":"rtl"},{"str":"اعضاي","boundary":[0.137843137254902,0.24814667672821974,0.18344862745098042,0.26344970703125004],"dir":"rtl"},{"str":"X","boundary":[0.11843137254901966,0.2445468181818182,0.1327298039215687,0.2598498484848485],"dir":"ltr"},{"str":"باش","boundary":[0.8099752941176471,0.2837527373342804,0.828373137254902,0.29905576763731073],"dir":"rtl"},{"str":"X","boundary":[0.7776470588235295,0.28015287878787887,0.7922133333333333,0.2954559090909092],"dir":"ltr"},{"str":".","boundary":[0.7972549019607843,0.27790333333333345,0.8007488235294118,0.2932063636363637],"dir":"ltr"},{"str":"را","boundary":[0.7635294117647059,0.2837527373342804,0.7726986274509804,0.29905576763731073],"dir":"rtl"},{"str":"مول","boundary":[0.7415439215686276,0.2837527373342804,0.7585356862745098,0.29905576763731073],"dir":"rtl"},{"str":"f","boundary":[0.7207843137254902,0.28015287878787887,0.7273790196078431,0.2954559090909092],"dir":"ltr"},{"str":"گوین","boundary":[0.6905635294117647,0.2837527373342804,0.7158100000000001,0.29905576763731073],"dir":"rtl"},{"str":"هرگاه","boundary":[0.6423529411764706,0.2837527373342804,0.676053137254902,0.29905576763731073],"dir":"rtl"},{"str":"X","boundary":[0.6229411764705882,0.28015287878787887,0.6372396078431373,0.2954559090909092],"dir":"ltr"},{"str":"مستقل","boundary":[0.575294117647059,0.2837527373342804,0.6177829411764707,0.29905576763731073],"dir":"rtl"},{"str":"خطی","boundary":[0.537450980392157,0.2837527373342804,0.570549411764706,0.29905576763731073],"dir":"rtl"},{"str":"باش","boundary":[0.5142890196078432,0.2837527373342804,0.5324907843137257,0.29905576763731073],"dir":"rtl"},{"str":".","boundary":[0.5015686274509804,0.27790333333333345,0.5048664705882353,0.2932063636363637],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764707,0.31907071200284104,0.8280692156862747,0.3343737423058713],"dir":"rtl"},{"str":":","boundary":[0.7884313725490197,0.3132063636363638,0.7923576470588236,0.3285093939393941],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764707,0.31905576763731075,0.7830490196078432,0.334358797940341],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235295,0.31905576763731075,0.7476027450980393,0.334358797940341],"dir":"rtl"},{"str":"-","boundary":[0.6670588235294119,0.3132063636363638,0.6744852941176472,0.3285093939393941],"dir":"ltr"},{"str":"R","boundary":[0.6747058823529413,0.3154559090909092,0.6879150980392158,0.3307589393939395],"dir":"ltr"},{"str":"،","boundary":[0.6929411764705884,0.31905576763731075,0.6969811764705884,0.334358797940341],"dir":"ltr"},{"str":"F","boundary":[0.7019607843137257,0.3154559090909092,0.7129717647058825,0.3307589393939395],"dir":"ltr"},{"str":"م","boundary":[0.6558576470588237,0.31905576763731075,0.6622543137254903,0.334358797940341],"dir":"rtl"},{"str":"ول","boundary":[0.62921568627451,0.31905576763731075,0.6464705882352942,0.334358797940341],"dir":"rtl"},{"str":"آزاد","boundary":[0.6023529411764708,0.31905576763731075,0.6240505882352942,0.334358797940341],"dir":"rtl"},{"str":"با","boundary":[0.5894117647058825,0.31905576763731075,0.5974174509803922,0.334358797940341],"dir":"rtl"},{"str":"پایهي","boundary":[0.549607843137255,0.31905576763731075,0.5847237254901962,0.334358797940341],"dir":"rtl"},{"str":"X","boundary":[0.5300000000000001,0.3154559090909092,0.5442984313725491,0.3307589393939395],"dir":"ltr"},{"str":"باش","boundary":[0.5066666666666668,0.31905576763731075,0.5252605882352943,0.334358797940341],"dir":"rtl"},{"str":".","boundary":[0.49411764705882366,0.3132063636363638,0.4973456862745099,0.3285093939393941],"dir":"ltr"},{"str":"j:XF","boundary":[0.7198039215686274,0.35258,0.8172015686274509,0.366519393939394],"dir":"ltr"},{"str":"(","boundary":[0.8131372549019611,0.34881242424242437,0.8193601960784317,0.3641154545454547],"dir":"ltr"},{"str":"1","boundary":[0.818823529411765,0.34881242424242437,0.8283794117647061,0.3641154545454547],"dir":"ltr"},{"str":"اگر","boundary":[0.7900000000000003,0.3546618282433713,0.8074605882352943,0.3699648585464016],"dir":"rtl"},{"str":"→","boundary":[0.7537254901960784,0.3509909090909091,0.7715301960784313,0.36493030303030305],"dir":"ltr"},{"str":"نگاشت","boundary":[0.6684313725490196,0.35466182824337117,0.709787843137255,0.3699648585464015],"dir":"rtl"},{"str":"شمول","boundary":[0.6258823529411766,0.35466182824337117,0.6630058823529412,0.3699648585464015],"dir":"rtl"},{"str":"باش","boundary":[0.6023282352941177,0.35466182824337117,0.62053,0.3699648585464015],"dir":"rtl"},{"str":"،","boundary":[0.5890196078431373,0.35466182824337117,0.5929411764705882,0.3699648585464015],"dir":"ltr"},{"str":"براي","boundary":[0.5572549019607843,0.35466182824337117,0.5833988235294117,0.3699648585464015],"dir":"rtl"},{"str":"هر","boundary":[0.5368627450980392,0.35466182824337117,0.5517488235294118,0.3699648585464015],"dir":"rtl"},{"str":"-","boundary":[0.5107843137254903,0.3488124242424242,0.5182825490196078,0.3641154545454545],"dir":"ltr"},{"str":"R","boundary":[0.5184313725490196,0.3510619696969697,0.5317123529411765,0.36636499999999994],"dir":"ltr"},{"str":"م","boundary":[0.4993870588235295,0.35466182824337117,0.5057837254901962,0.3699648585464015],"dir":"rtl"},{"str":"ول","boundary":[0.47274509803921577,0.35466182824337117,0.4900000000000001,0.3699648585464015],"dir":"rtl"},{"str":"M","boundary":[0.44960784313725494,0.3510619696969697,0.46721352941176475,0.36636499999999994],"dir":"ltr"},{"str":"و","boundary":[0.4380392156862746,0.35466182824337117,0.44441607843137265,0.3699648585464015],"dir":"rtl"},{"str":"هر","boundary":[0.41745098039215695,0.35466182824337117,0.4327198039215687,0.3699648585464015],"dir":"rtl"},{"str":"تابع","boundary":[0.3837254901960785,0.35466182824337117,0.4124882352941177,0.3699648585464015],"dir":"rtl"},{"str":"،","boundary":[0.29568627450980395,0.35466182824337117,0.29972627450980394,0.3699648585464015],"dir":"ltr"},{"str":"→","boundary":[0.34098039215686277,0.3509909090909091,0.3587850980392157,0.36493030303030305],"dir":"ltr"},{"str":"f:XM","boundary":[0.3023529411764706,0.35258,0.41105176470588234,0.366519393939394],"dir":"ltr"},{"str":"همریختی","boundary":[0.22666666666666666,0.35466182824337117,0.29045490196078433,0.3699648585464015],"dir":"rtl"},{"str":"منحصر","boundary":[0.17254901960784313,0.35466182824337117,0.2213233333333333,0.3699648585464015],"dir":"rtl"},{"str":"به","boundary":[0.14980392156862743,0.35466182824337117,0.16742666666666664,0.3699648585464015],"dir":"rtl"},{"str":"فرد","boundary":[0.11843137254901961,0.35466182824337117,0.1445349019607843,0.3699648585464015],"dir":"rtl"},{"str":"φ→:FM","boundary":[0.7478431372549019,0.38523333333333337,0.8542423529411763,0.4007618181818182],"dir":"ltr"},{"str":"وجود","boundary":[0.7090196078431372,0.3890557676373106,0.7402333333333333,0.40435879794034085],"dir":"rtl"},{"str":"دارد","boundary":[0.6794117647058823,0.3890557676373106,0.7037931372549019,0.40435879794034085],"dir":"rtl"},{"str":"که","boundary":[0.6588235294117646,0.3890557676373106,0.6744488235294116,0.40435879794034085],"dir":"rtl"},{"str":"نمودار","boundary":[0.6174509803921567,0.3890557676373106,0.6537741176470587,0.40435879794034085],"dir":"rtl"},{"str":"را","boundary":[0.6031372549019607,0.3890557676373106,0.6123064705882352,0.40435879794034085],"dir":"rtl"},{"str":"جابجایی","boundary":[0.5476470588235294,0.3890557676373106,0.598548431372549,0.40435879794034085],"dir":"rtl"},{"str":"میکن","boundary":[0.5103674509803923,0.3890557676373106,0.5426758823529412,0.40435879794034085],"dir":"rtl"},{"str":".","boundary":[0.49764705882352944,0.3832063636363636,0.5008345098039215,0.39850939393939394],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.95235,0.40436],"dir":"ltr","type":"paragraph"},{"words":[{"str":"(","boundary":[0.813137254901961,0.5142669696969697,0.819164117647059,0.52957],"dir":"ltr"},{"str":"2","boundary":[0.8188235294117648,0.5142669696969697,0.8283774509803922,0.52957],"dir":"ltr"},{"str":"به","boundary":[0.7962745098039218,0.5201163736979166,0.8077211764705884,0.5354194040009469],"dir":"rtl"},{"str":"ازاي","boundary":[0.7660784313725492,0.5201163736979166,0.7911000000000001,0.5354194040009469],"dir":"rtl"},{"str":"هر","boundary":[0.7456862745098041,0.5201163736979166,0.7605723529411765,0.5354194040009469],"dir":"rtl"},{"str":"-","boundary":[0.719607843137255,0.5142669696969697,0.727496274509804,0.52957],"dir":"ltr"},{"str":"R","boundary":[0.7272549019607845,0.5165165151515151,0.7409260784313727,0.5318195454545455],"dir":"ltr"},{"str":"م","boundary":[0.7082105882352944,0.5201163736979166,0.714607254901961,0.5354194040009469],"dir":"rtl"},{"str":"ول","boundary":[0.6815686274509806,0.5201163736979166,0.698823529411765,0.5354194040009469],"dir":"rtl"},{"str":"M","boundary":[0.6584313725490197,0.5165165151515151,0.6760370588235296,0.5318195454545455],"dir":"ltr"},{"str":"میتوان","boundary":[0.6090196078431375,0.5201163736979166,0.653264117647059,0.5354194040009469],"dir":"rtl"},{"str":"f:XM","boundary":[0.5,0.5180345454545455,0.6083066666666667,0.5319739393939394],"dir":"ltr"},{"str":"تابع","boundary":[0.581372549019608,0.5201163736979166,0.6040827450980394,0.5354194040009469],"dir":"rtl"},{"str":"→","boundary":[0.5386274509803921,0.5164454545454545,0.556432156862745,0.5303848484848486],"dir":"ltr"},{"str":"را","boundary":[0.4831372549019607,0.5201163736979166,0.49230647058823523,0.5354194040009469],"dir":"rtl"},{"str":"به","boundary":[0.4666666666666666,0.5201163736979166,0.4781133333333333,0.5354194040009469],"dir":"rtl"},{"str":"طور","boundary":[0.43823529411764706,0.5201163736979166,0.4612607843137254,0.5354194040009469],"dir":"rtl"},{"str":"منحصر","boundary":[0.3903921568627451,0.5201163736979166,0.43310843137254906,0.5354194040009469],"dir":"rtl"},{"str":"به","boundary":[0.37392156862745096,0.5201163736979166,0.3853682352941176,0.5354194040009469],"dir":"rtl"},{"str":"فردي","boundary":[0.3358823529411764,0.5201163736979166,0.3687509803921568,0.5354194040009469],"dir":"rtl"},{"str":"به","boundary":[0.3192156862745098,0.5201163736979166,0.33108784313725487,0.5354194040009469],"dir":"rtl"},{"str":"همریختی","boundary":[0.2503921568627451,0.5201163736979166,0.3143717647058823,0.5354194040009469],"dir":"rtl"},{"str":"φ→:FM","boundary":[0.17,0.5164454545454545,0.2763992156862745,0.5319739393939394],"dir":"ltr"},{"str":"توسیع","boundary":[0.11843137254901961,0.5201163736979166,0.16258549019607843,0.5354194040009469],"dir":"rtl"},{"str":"داد","boundary":[0.8101960784313726,0.554510313091856,0.8281233333333333,0.5698133433948863],"dir":"rtl"},{"str":"چنانکه","boundary":[0.7641176470588236,0.554510313091856,0.805499411764706,0.5698133433948863],"dir":"rtl"},{"str":"xφ=|f","boundary":[0.7101960784313726,0.5502318181818181,0.7828435294117647,0.5696215151515152],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764705,0.5898282877604166,0.8280692156862745,0.6051313180634469],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.5839639393939394,0.7938205882352941,0.5992669696969697],"dir":"ltr"},{"str":"فرض","boundary":[0.7523529411764704,0.5898133433948863,0.783049019607843,0.6051163736979166],"dir":"rtl"},{"str":"کنی","boundary":[0.7276470588235293,0.5898133433948863,0.747602745098039,0.6051163736979166],"dir":"rtl"},{"str":"F","boundary":[0.7019607843137254,0.5862134848484848,0.7129717647058823,0.6015165151515152],"dir":"ltr"},{"str":"یک","boundary":[0.6754901960784313,0.5898133433948863,0.6968382352941176,0.6051163736979166],"dir":"rtl"},{"str":"-","boundary":[0.649607843137255,0.5839639393939394,0.6571231372549019,0.5992669696969697],"dir":"ltr"},{"str":"R","boundary":[0.6570588235294118,0.5862134848484848,0.670356862745098,0.6015165151515152],"dir":"ltr"},{"str":"م","boundary":[0.6382105882352941,0.5898133433948863,0.6446072549019608,0.6051163736979166],"dir":"rtl"},{"str":"ول","boundary":[0.6113725490196079,0.5898133433948863,0.6288235294117648,0.6051163736979166],"dir":"rtl"},{"str":"باش","boundary":[0.5880145098039216,0.5898133433948863,0.606216274509804,0.6051163736979166],"dir":"rtl"},{"str":"F","boundary":[0.5588235294117647,0.5862134848484848,0.5698345098039216,0.6015165151515152],"dir":"ltr"},{"str":".","boundary":[0.5752941176470588,0.5839639393939394,0.5787880392156862,0.5992669696969697],"dir":"ltr"},{"str":"یک","boundary":[0.5325490196078432,0.5898133433948863,0.5538970588235295,0.6051163736979166],"dir":"rtl"},{"str":"-","boundary":[0.5064705882352942,0.5839639393939394,0.5139858823529412,0.5992669696969697],"dir":"ltr"},{"str":"R","boundary":[0.5141176470588236,0.5862134848484848,0.5274156862745099,0.6015165151515152],"dir":"ltr"},{"str":"م","boundary":[0.4950733333333335,0.5898133433948863,0.5014700000000002,0.6051163736979166],"dir":"rtl"},{"str":"ول","boundary":[0.46843137254901973,0.5898133433948863,0.485686274509804,0.6051163736979166],"dir":"rtl"},{"str":"آزاد","boundary":[0.4415686274509805,0.5898133433948863,0.4630803921568628,0.6051163736979166],"dir":"rtl"},{"str":"با","boundary":[0.4282352941176471,0.5898133433948863,0.4362409803921569,0.6051163736979166],"dir":"rtl"},{"str":"پایهي","boundary":[0.38843137254901977,0.5898133433948863,0.4233345098039216,0.6051163736979166],"dir":"rtl"},{"str":"X","boundary":[0.3688235294117648,0.5862134848484848,0.3831219607843139,0.6015165151515152],"dir":"ltr"},{"str":"است","boundary":[0.3360784313725491,0.5898133433948863,0.3640272549019609,0.6051163736979166],"dir":"rtl"},{"str":"اگر","boundary":[0.31333333333333346,0.5898133433948863,0.3311860784313727,0.6051163736979166],"dir":"rtl"},{"str":"و","boundary":[0.3019607843137256,0.5898133433948863,0.3081145098039217,0.6051163736979166],"dir":"rtl"},{"str":"فقط","boundary":[0.27156862745098054,0.5898133433948863,0.2965717647058825,0.6051163736979166],"dir":"rtl"},{"str":"اگر","boundary":[0.24882352941176486,0.5898133433948863,0.2666762745098041,0.6051163736979166],"dir":"rtl"},{"str":"در","boundary":[0.23019607843137269,0.5898133433948863,0.24366000000000015,0.6051163736979166],"dir":"rtl"},{"str":"رستهي","boundary":[0.18137254901960795,0.5898133433948863,0.2252217647058825,0.6051163736979166],"dir":"rtl"},{"str":"R","boundary":[0.14745098039215696,0.5931063636363636,0.157787843137255,0.6049245454545454],"dir":"ltr"},{"str":"M","boundary":[0.16098039215686274,0.5871584848484849,0.17736588235294115,0.601400909090909],"dir":"ltr"},{"str":"یک","boundary":[0.11843137254901961,0.5898133433948863,0.1393872549019608,0.6051163736979166],"dir":"rtl"},{"str":"شیء","boundary":[0.799607843137255,0.6254194040009469,0.8281043137254903,0.6407224343039772],"dir":"rtl"},{"str":"آزاد","boundary":[0.7727450980392158,0.6254194040009469,0.7942686274509805,0.6407224343039772],"dir":"rtl"},{"str":"روي","boundary":[0.7421568627450981,0.6254194040009469,0.7675282352941177,0.6407224343039772],"dir":"rtl"},{"str":"X","boundary":[0.7225490196078432,0.6218195454545454,0.7368474509803922,0.6371225757575757],"dir":"ltr"},{"str":"باش","boundary":[0.6993870588235296,0.6254194040009469,0.7177849019607845,0.6407224343039772],"dir":"rtl"},{"str":".","boundary":[0.6866666666666668,0.61957,0.689894705882353,0.6348730303030303],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764707,0.6608888938210227,0.8280692156862747,0.6761919241240529],"dir":"rtl"},{"str":":","boundary":[0.7884313725490197,0.6550245454545454,0.7924619607843139,0.6703275757575756],"dir":"ltr"},{"str":"اگر","boundary":[0.7654901960784315,0.6608739494554924,0.7829507843137256,0.6761769797585226],"dir":"rtl"},{"str":"-","boundary":[0.7139215686274512,0.6550245454545454,0.7211962745098041,0.6703275757575756],"dir":"ltr"},{"str":"R","boundary":[0.7215686274509806,0.6572740909090908,0.7346260784313727,0.6725771212121211],"dir":"ltr"},{"str":"،","boundary":[0.7400000000000002,0.6608739494554924,0.7438882352941178,0.6761769797585226],"dir":"ltr"},{"str":"F","boundary":[0.74921568627451,0.6572740909090908,0.7600749019607845,0.6725771212121211],"dir":"ltr"},{"str":"م","boundary":[0.702560392156863,0.6608739494554924,0.7089570588235297,0.6761769797585226],"dir":"rtl"},{"str":"ولی","boundary":[0.6711764705882356,0.6608739494554924,0.6931733333333336,0.6761769797585226],"dir":"rtl"},{"str":"آزاد","boundary":[0.6443137254901964,0.6608739494554924,0.6658254901960787,0.6761769797585226],"dir":"rtl"},{"str":"با","boundary":[0.630980392156863,0.6608739494554924,0.6389860784313728,0.6761769797585226],"dir":"rtl"},{"str":"پایه","boundary":[0.6039215686274512,0.6608739494554924,0.625883529411765,0.6761769797585226],"dir":"rtl"},{"str":"FR","boundary":[0.4407843137254902,0.658505606060606,0.6051613725490196,0.6725965151515151],"dir":"ltr"},{"str":"ي","boundary":[0.5907843137254903,0.6608739494554924,0.6035974509803923,0.6761769797585226],"dir":"rtl"},{"str":"X","boundary":[0.5709803921568629,0.6572740909090908,0.585278823529412,0.6725771212121211],"dir":"ltr"},{"str":"باش","boundary":[0.5476223529411767,0.6608739494554924,0.565824117647059,0.6761769797585226],"dir":"rtl"},{"str":"C","boundary":[0.4692156862745098,0.6528993939393941,0.4879349019607844,0.6704751515151516],"dir":"ltr"},{"str":"≅","boundary":[0.45509803921568626,0.6568992424242425,0.4651092156862745,0.6709901515151516],"dir":"ltr"},{"str":"∈","boundary":[0.49745098039215685,0.6649416666666668,0.5082158823529411,0.6766083333333335],"dir":"ltr"},{"str":"xX","boundary":[0.49,0.6662716666666667,0.5290380392156863,0.6779383333333334],"dir":"ltr"},{"str":"برعکس","boundary":[0.39294117647058824,0.6608739494554925,0.4378988235294118,0.6761769797585228],"dir":"rtl"},{"str":"اگر","boundary":[0.36411764705882355,0.6608739494554925,0.38785745098039215,0.6761769797585228],"dir":"rtl"},{"str":"F","boundary":[0.3476470588235294,0.657274090909091,0.3586580392156863,0.6725771212121213],"dir":"ltr"},{"str":"با","boundary":[0.3284313725490196,0.6608739494554925,0.34248960784313726,0.6761769797585228],"dir":"rtl"},{"str":"-","boundary":[0.16254901960784315,0.6550245454545455,0.170073137254902,0.6703275757575758],"dir":"ltr"},{"str":"C","boundary":[0.2592156862745098,0.6528993939393941,0.2779349019607843,0.6704751515151516],"dir":"ltr"},{"str":"R","boundary":[0.31235294117647056,0.658505606060606,0.3245158823529412,0.6725965151515151],"dir":"ltr"},{"str":"∈","boundary":[0.2876470588235294,0.6649416666666668,0.2984119607843137,0.6766083333333335],"dir":"ltr"},{"str":"xX","boundary":[0.2801960784313725,0.6662716666666667,0.3196262745098039,0.6779383333333334],"dir":"ltr"},{"str":"به","boundary":[0.23392156862745103,0.6608739494554925,0.25175705882352944,0.6761769797585228],"dir":"rtl"},{"str":"عنوان","boundary":[0.1886274509803922,0.6608739494554925,0.22878843137254906,0.6761769797585228],"dir":"rtl"},{"str":"R","boundary":[0.17019607843137258,0.657274090909091,0.18350294117647062,0.6725771212121213],"dir":"ltr"},{"str":"م","boundary":[0.14507333333333336,0.6608739494554925,0.15764607843137257,0.6761769797585228],"dir":"rtl"},{"str":"ول","boundary":[0.11843137254901964,0.6608739494554925,0.13568627450980394,0.6761769797585228],"dir":"rtl"},{"str":"یکریخت","boundary":[0.7776470588235295,0.696328494910038,0.8282290196078432,0.7116315252130683],"dir":"rtl"},{"str":"باش","boundary":[0.7544850980392157,0.696328494910038,0.7728829411764706,0.7116315252130683],"dir":"rtl"},{"str":"F","boundary":[0.7288235294117648,0.6927286363636365,0.739946274509804,0.7080316666666668],"dir":"ltr"},{"str":"آزاد","boundary":[0.7021568627450981,0.696328494910038,0.7236686274509805,0.7116315252130683],"dir":"rtl"},{"str":"است","boundary":[0.6694117647058825,0.696328494910038,0.6969896078431373,0.7116315252130683],"dir":"rtl"},{"str":".","boundary":[0.6660784313725491,0.690479090909091,0.6694182352941178,0.7057821212121212],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764707,0.7389191968513258,0.8280692156862747,0.754222227154356],"dir":"rtl"},{"str":":","boundary":[0.7884313725490197,0.7330548484848485,0.7924619607843139,0.7483578787878787],"dir":"ltr"},{"str":"هر","boundary":[0.7676470588235296,0.7389042524857955,0.7829158823529413,0.7542072827888258],"dir":"rtl"},{"str":"-","boundary":[0.7415686274509805,0.7330548484848485,0.7489950980392158,0.7483578787878787],"dir":"ltr"},{"str":"R","boundary":[0.74921568627451,0.735304393939394,0.7624249019607845,0.7506074242424242],"dir":"ltr"},{"str":"م","boundary":[0.7299752941176472,0.7389042524857955,0.7363719607843139,0.7542072827888258],"dir":"rtl"},{"str":"ول","boundary":[0.703137254901961,0.7389042524857955,0.7205882352941179,0.7542072827888258],"dir":"rtl"},{"str":"مثل","boundary":[0.6733333333333335,0.7389042524857955,0.6977903921568629,0.7542072827888258],"dir":"rtl"},{"str":"M","boundary":[0.6501960784313727,0.735304393939394,0.6678017647058826,0.7506074242424242],"dir":"ltr"},{"str":"تصویر","boundary":[0.609607843137255,0.7389042524857955,0.6450517647058825,0.7542072827888258],"dir":"rtl"},{"str":"همریخت","boundary":[0.5500000000000002,0.7389042524857955,0.6041545098039217,0.7542072827888258],"dir":"rtl"},{"str":"یک","boundary":[0.523529411764706,0.7389042524857955,0.5448774509803923,0.7542072827888258],"dir":"rtl"},{"str":"-","boundary":[0.4972549019607845,0.7330548484848485,0.504799411764706,0.7483578787878787],"dir":"ltr"},{"str":"R","boundary":[0.5049019607843139,0.735304393939394,0.5182292156862747,0.7506074242424242],"dir":"ltr"},{"str":"م","boundary":[0.48585764705882367,0.7389042524857955,0.4922543137254904,0.7542072827888258],"dir":"rtl"},{"str":"ول","boundary":[0.45921568627451004,0.7389042524857955,0.47647058823529437,0.7542072827888258],"dir":"rtl"},{"str":"آزاد","boundary":[0.43235294117647083,0.7389042524857955,0.4538647058823532,0.7542072827888258],"dir":"rtl"},{"str":"مانن","boundary":[0.4064458823529414,0.7389042524857955,0.4270531372549021,0.7542072827888258],"dir":"rtl"},{"str":"F","boundary":[0.38058823529411784,0.735304393939394,0.3915992156862747,0.7506074242424242],"dir":"ltr"},{"str":"است","boundary":[0.3476470588235297,0.7389042524857955,0.37559588235294145,0.7542072827888258],"dir":"rtl"},{"str":".","boundary":[0.34431372549019634,0.7330548484848485,0.34780764705882383,0.7483578787878787],"dir":"ltr"},{"str":"به","boundary":[0.32156862745098064,0.7389042524857955,0.3391913725490199,0.7542072827888258],"dir":"rtl"},{"str":"علاوه","boundary":[0.27921568627451004,0.7389042524857955,0.31652000000000025,0.7542072827888258],"dir":"rtl"},{"str":"زیر","boundary":[0.2500000000000002,0.7389042524857955,0.2740137254901963,0.7542072827888258],"dir":"rtl"},{"str":"م","boundary":[0.23232823529411786,0.7389042524857955,0.2449009803921571,0.7542072827888258],"dir":"rtl"},{"str":"ول","boundary":[0.20549019607843158,0.7389042524857955,0.22294117647058848,0.7542072827888258],"dir":"rtl"},{"str":"از","boundary":[0.1911764705882355,0.7389042524857955,0.20034568627451002,0.7542072827888258],"dir":"rtl"},{"str":"F","boundary":[0.17470588235294143,0.735304393939394,0.1858525490196081,0.7506074242424242],"dir":"ltr"},{"str":"مانن","boundary":[0.14291647058823553,0.7389042524857955,0.16960215686274535,0.7542072827888258],"dir":"rtl"},{"str":"k","boundary":[0.11843137254901986,0.735304393939394,0.12840509803921596,0.7506074242424242],"dir":"ltr"},{"str":"موجود","boundary":[0.7894117647058827,0.7745103130918561,0.8281123529411768,0.7898133433948864],"dir":"rtl"},{"str":"است","boundary":[0.7562745098039219,0.7745103130918561,0.7842233333333336,0.7898133433948864],"dir":"rtl"},{"str":"که","boundary":[0.7356862745098042,0.7745103130918561,0.7513115686274513,0.7898133433948864],"dir":"rtl"},{"str":":","boundary":[0.7323549019607846,0.7686609090909091,0.7356547058823532,0.7839639393939394],"dir":"ltr"},{"str":"F","boundary":[0.1227450980392157,0.804566212121212,0.13288392156862747,0.8186571212121211],"dir":"ltr"},{"str":"≅","boundary":[0.1407843137254902,0.8096265151515153,0.15079549019607844,0.8237174242424243],"dir":"ltr"},{"str":"M","boundary":[0.15764705882352942,0.8112328787878788,0.17385823529411765,0.8253237878787878],"dir":"ltr"},{"str":"k","boundary":[0.1227450980392157,0.8203237878787878,0.13186274509803922,0.8344146969696968],"dir":"ltr"},{"str":"R","boundary":[0.1403921568627451,0.8252110606060605,0.15046254901960784,0.8368777272727272],"dir":"ltr"},{"str":"قضیه","boundary":[0.7923529411764705,0.8622525301846592,0.8280692156862745,0.8775555604876895],"dir":"rtl"},{"str":":","boundary":[0.7884313725490196,0.8563881818181819,0.7924619607843137,0.8716912121212121],"dir":"ltr"},{"str":"اگر","boundary":[0.7654901960784313,0.8622375858191289,0.7829507843137254,0.8775406161221592],"dir":"rtl"},{"str":"R","boundary":[0.7470588235294118,0.8586377272727274,0.7601162745098039,0.8739407575757577],"dir":"ltr"},{"str":"جابجایی","boundary":[0.6915686274509804,0.8622375858191289,0.7422739215686275,0.8775406161221592],"dir":"rtl"},{"str":"باش","boundary":[0.6684066666666667,0.8622375858191289,0.686608431372549,0.8775406161221592],"dir":"rtl"},{"str":"و","boundary":[0.6476470588235295,0.8622375858191289,0.6538721568627451,0.8775406161221592],"dir":"rtl"},{"str":"F","boundary":[0.6313725490196078,0.8586377272727274,0.642455294117647,0.8739407575757577],"dir":"ltr"},{"str":"یک","boundary":[0.6050980392156863,0.8622375858191289,0.6264119607843137,0.8775406161221592],"dir":"rtl"},{"str":"-","boundary":[0.5792156862745097,0.8563881818181819,0.5867139215686273,0.8716912121212121],"dir":"ltr"},{"str":"R","boundary":[0.5868627450980392,0.8586377272727274,0.600143725490196,0.8739407575757577],"dir":"ltr"},{"str":"م","boundary":[0.5680392156862745,0.8622375858191289,0.5742645098039216,0.8775406161221592],"dir":"rtl"},{"str":"ول","boundary":[0.5413725490196079,0.8622375858191289,0.5588235294117647,0.8775406161221592],"dir":"rtl"},{"str":"آزاد","boundary":[0.5147058823529411,0.8622375858191289,0.5362176470588236,0.8775406161221592],"dir":"rtl"},{"str":"هر","boundary":[0.49431372549019603,0.8622375858191289,0.5095825490196078,0.8775406161221592],"dir":"rtl"},{"str":"پایهي","boundary":[0.4545098039215686,0.8622375858191289,0.48982176470588235,0.8775406161221592],"dir":"rtl"},{"str":"F","boundary":[0.4384313725490196,0.8586377272727274,0.4492709803921569,0.8739407575757577],"dir":"ltr"},{"str":"داراي","boundary":[0.40078431372549017,0.8622375858191289,0.4333505882352941,0.8775406161221592],"dir":"rtl"},{"str":"تع","boundary":[0.3846511764705882,0.8622375858191289,0.3959962745098039,0.8775406161221592],"dir":"rtl"},{"str":"اد","boundary":[0.3649019607843137,0.8622375858191289,0.37526411764705886,0.8775406161221592],"dir":"rtl"},{"str":"اعضاي","boundary":[0.3203921568627451,0.8622375858191289,0.3597435294117647,0.8775406161221592],"dir":"rtl"},{"str":"برابر","boundary":[0.29117647058823526,0.8622375858191289,0.31535019607843134,0.8775406161221592],"dir":"rtl"},{"str":"است","boundary":[0.25823529411764706,0.8622375858191289,0.2859880392156863,0.8775406161221592],"dir":"rtl"},{"str":".","boundary":[0.2549019607843137,0.8563881818181819,0.25795862745098036,0.8716912121212121],"dir":"ltr"},{"str":"L,L,k,k","boundary":[0.7425490196078431,0.8957618181818182,0.8145098039215687,0.909701212121212],"dir":"ltr"},{"str":"-′′","boundary":[0.7537254901960784,0.8919942424242424,0.8305882352941176,0.9072972727272727],"dir":"ltr"},{"str":"زیر","boundary":[0.7166666666666667,0.8978436464251894,0.7346019607843138,0.9131466767282197],"dir":"rtl"},{"str":"م","boundary":[0.7052694117647058,0.8978436464251894,0.7116660784313725,0.9131466767282197],"dir":"rtl"},{"str":"ولهایی","boundary":[0.6490196078431373,0.8978436464251894,0.6958823529411765,0.9131466767282197],"dir":"rtl"},{"str":"از","boundary":[0.6349019607843138,0.8978436464251894,0.6440711764705883,0.9131466767282197],"dir":"rtl"},{"str":"M","boundary":[0.6119607843137256,0.8942437878787879,0.6296382352941177,0.9095468181818182],"dir":"ltr"},{"str":"باشن","boundary":[0.5827203921568629,0.8978436464251894,0.607217843137255,0.9131466767282197],"dir":"rtl"},{"str":":","boundary":[0.5700000000000001,0.8919942424242424,0.5732998039215687,0.9072972727272727],"dir":"ltr"},{"str":"18","boundary":[0.13941176470588235,0.9332466666666668,0.15608941176470587,0.947489090909091],"dir":"ltr"}],"boundary":[0.11843,0.51427,0.83059,0.94749],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":18,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/7f8ccf97b628d256a363abce82ac7cf3.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/bf95bc43f14c02a49572e98a7962003c.jpg"},"info":{"width":612,"height":792,"margin":[0.1749,0.06988,0.01922,0.05115]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.8398039215686275,0.06988352560123068,0.8909149019607843,0.08412594984365493],"dir":"rtl"},{"str":"سوالات","boundary":[0.7892156862745098,0.06988352560123068,0.8358556862745098,0.08412594984365493],"dir":"rtl"},{"str":"ریاض","boundary":[0.7566666666666667,0.06988352560123068,0.7854345098039217,0.08412594984365493],"dir":"rtl"},{"str":"محض","boundary":[0.7043137254901961,0.06988352560123068,0.7403427450980392,0.08412594984365493],"dir":"rtl"},{"str":"′′","boundary":[0.7972549019607843,0.09265833333333336,0.9223529411764706,0.10644621212121215],"dir":"ltr"},{"str":"اگر","boundary":[0.8670588235294118,0.09708607066761367,0.8845194117647058,0.11238910097064399],"dir":"rtl"},{"str":"⊕=⊕","boundary":[0.7688235294117647,0.09341590909090915,0.863711568627451,0.10720378787878793],"dir":"ltr"},{"str":"LLkk","boundary":[0.7547058823529411,0.09498772727272732,0.8799999999999999,0.10877560606060611],"dir":"ltr"},{"str":"و","boundary":[0.7401960784313725,0.09708607066761367,0.7465729411764706,0.11238910097064399],"dir":"rtl"},{"str":"لزومین","boundary":[0.6962033333333332,0.09708607066761367,0.7353254901960784,0.11238910097064399],"dir":"rtl"},{"str":"ارد","boundary":[0.6699999999999999,0.09708607066761367,0.6868162745098039,0.11238910097064399],"dir":"rtl"},{"str":"که","boundary":[0.6494117647058822,0.09708607066761367,0.6650370588235294,0.11238910097064399],"dir":"rtl"},{"str":"Lk","boundary":[0.5919607843137255,0.09404272727272732,0.6498278431372548,0.10889121212121217],"dir":"ltr"},{"str":"از","boundary":[0.6352941176470588,0.09708607066761367,0.6444633333333333,0.11238910097064399],"dir":"rtl"},{"str":"=","boundary":[0.6076470588235294,0.09235000000000006,0.6181964705882352,0.1071984848484849],"dir":"ltr"},{"str":"نتیجه","boundary":[0.549607843137255,0.09708607066761367,0.5840666666666666,0.11238910097064399],"dir":"rtl"},{"str":"′′","boundary":[0.4794117647058823,0.09144090909090911,0.5452941176470588,0.10628939393939396],"dir":"ltr"},{"str":"شود","boundary":[0.5194117647058824,0.09708607066761367,0.5442025490196079,0.11238910097064399],"dir":"rtl"},{"str":".","boundary":[0.46196078431372556,0.0912366666666667,0.46518882352941177,0.106539696969697],"dir":"ltr"},{"str":"=","boundary":[0.48784313725490197,0.09235000000000006,0.49839254901960783,0.1071984848484849],"dir":"ltr"},{"str":"Lk","boundary":[0.4680392156862745,0.09404272727272732,0.5349258823529411,0.10889121212121217],"dir":"ltr"},{"str":"′′","boundary":[0.7972549019607843,0.12720378787878792,0.9223529411764706,0.1409916666666667],"dir":"ltr"},{"str":"اگر","boundary":[0.8670588235294118,0.13163152521306823,0.8845194117647058,0.14693455551609855],"dir":"rtl"},{"str":"Lk","boundary":[0.6970588235294118,0.12843666666666673,0.7549258823529412,0.1432851515151516],"dir":"ltr"},{"str":"⊕=⊕","boundary":[0.7688235294117647,0.1279613636363637,0.863711568627451,0.1417492424242425],"dir":"ltr"},{"str":"LLkk","boundary":[0.7547058823529411,0.12953318181818188,0.8799999999999999,0.14332106060606067],"dir":"ltr"},{"str":"و","boundary":[0.7401960784313726,0.13163152521306823,0.7465729411764707,0.14693455551609855],"dir":"rtl"},{"str":"=","boundary":[0.7127450980392157,0.12674393939393946,0.7232945098039215,0.14159242424242433],"dir":"ltr"},{"str":"آنگاه","boundary":[0.6613725490196078,0.13163152521306823,0.6893147058823529,0.14693455551609855],"dir":"rtl"},{"str":"≅","boundary":[0.6303921568627451,0.12735303030303036,0.6405109803921569,0.1415954545454546],"dir":"ltr"},{"str":"Lk","boundary":[0.6123529411764705,0.12897666666666674,0.6730521568627451,0.143219090909091],"dir":"ltr"},{"str":"′′","boundary":[0.6235294117647059,0.12659545454545457,0.6835294117647059,0.14083787878787882],"dir":"ltr"},{"str":"R","boundary":[0.6301960784313726,0.1429548484848484,0.6403972549019608,0.15477303030303025],"dir":"ltr"},{"str":"M","boundary":[0.8545098039215687,0.16863772727272727,0.8721852941176471,0.1839407575757576],"dir":"ltr"},{"str":"-","boundary":[0.8770588235294118,0.16638818181818185,0.8845550980392156,0.18169121212121214],"dir":"ltr"},{"str":"و","boundary":[0.8431372549019608,0.17223758581912882,0.8495839215686275,0.18754061612215914],"dir":"rtl"},{"str":"N","boundary":[0.8235294117647058,0.16863772727272727,0.8378976470588235,0.1839407575757576],"dir":"ltr"},{"str":"دو","boundary":[0.8045098039215687,0.17223758581912882,0.8185913725490197,0.18754061612215914],"dir":"rtl"},{"str":"-","boundary":[0.7786274509803921,0.16638818181818185,0.786123725490196,0.18169121212121214],"dir":"ltr"},{"str":"R","boundary":[0.7862745098039216,0.16863772727272727,0.7995535294117647,0.1839407575757576],"dir":"ltr"},{"str":"م","boundary":[0.7611517647058824,0.17223758581912882,0.7743127450980393,0.18754061612215914],"dir":"rtl"},{"str":"ول","boundary":[0.734313725490196,0.17223758581912882,0.7517647058823529,0.18754061612215914],"dir":"rtl"},{"str":"φ→:MN","boundary":[0.6380392156862745,0.1685666666666667,0.7503207843137255,0.18409515151515154],"dir":"ltr"},{"str":"و","boundary":[0.7229411764705882,0.17223758581912882,0.7293878431372549,0.18754061612215914],"dir":"rtl"},{"str":"-","boundary":[0.6054901960784312,0.16638818181818185,0.6129166666666666,0.18169121212121214],"dir":"ltr"},{"str":"R","boundary":[0.6131372549019607,0.16863772727272727,0.6263464705882352,0.1839407575757576],"dir":"ltr"},{"str":"،","boundary":[0.6313725490196078,0.17223758581912882,0.6354125490196079,0.18754061612215914],"dir":"ltr"},{"str":"همریختی","boundary":[0.536470588235294,0.17223758581912882,0.6006509803921567,0.18754061612215914],"dir":"rtl"},{"str":"پوشا","boundary":[0.49803921568627446,0.17223758581912882,0.5314901960784313,0.18754061612215914],"dir":"rtl"},{"str":"باش","boundary":[0.46840666666666664,0.17223758581912882,0.49307901960784306,0.18754061612215914],"dir":"rtl"},{"str":"،","boundary":[0.45490196078431366,0.17223758581912882,0.45901960784313717,0.18754061612215914],"dir":"ltr"},{"str":"اگر","boundary":[0.4256862745098039,0.17223758581912882,0.45001431372549017,0.18754061612215914],"dir":"rtl"},{"str":"k","boundary":[0.41078431372549007,0.16863772727272727,0.4206862745098038,0.1839407575757576],"dir":"ltr"},{"str":"و","boundary":[0.39921568627450965,0.17223758581912882,0.4055925490196077,0.18754061612215914],"dir":"rtl"},{"str":"L","boundary":[0.3821568627450979,0.16863772727272727,0.39425705882352924,0.1839407575757576],"dir":"ltr"},{"str":"زیرم","boundary":[0.34624980392156846,0.17223758581912882,0.3773507843137253,0.18754061612215914],"dir":"rtl"},{"str":"ول","boundary":[0.3194117647058822,0.17223758581912882,0.3368627450980391,0.18754061612215914],"dir":"rtl"},{"str":"هایی","boundary":[0.27843137254901945,0.17223758581912882,0.31459156862745086,0.18754061612215914],"dir":"rtl"},{"str":"از","boundary":[0.2641176470588234,0.17223758581912882,0.27328686274509795,0.18754061612215914],"dir":"rtl"},{"str":"M","boundary":[0.2413725490196077,0.16863772727272727,0.25909156862745086,0.1839407575757576],"dir":"ltr"},{"str":"باش","boundary":[0.21156862745098023,0.17223758581912882,0.23663313725490182,0.18754061612215914],"dir":"rtl"},{"str":"که","boundary":[0.17490196078431358,0.17223758581912882,0.19750431372549004,0.18754061612215914],"dir":"rtl"},{"str":"=φ","boundary":[0.7388235294117648,0.2026575757575758,0.8209741176470589,0.2165969696969697],"dir":"ltr"},{"str":"=+","boundary":[0.8290196078431373,0.20159242424242424,0.8862745098039215,0.2164409090909091],"dir":"ltr"},{"str":"MLk","boundary":[0.8080392156862745,0.20328515151515153,0.8968866666666666,0.21813363636363636],"dir":"ltr"},{"str":"و","boundary":[0.793921568627451,0.2063284949100379,0.8002984313725491,0.22163152521306823],"dir":"rtl"},{"str":"ILkker","boundary":[0.6952941176470588,0.2005806060606061,0.7767615686274509,0.21818606060606063],"dir":"ltr"},{"str":"آنگاه","boundary":[0.6598039215686273,0.2063284949100379,0.6875127450980392,0.22163152521306823],"dir":"rtl"},{"str":"=φ⊕φN(L)(k)","boundary":[0.5362745098039216,0.2026575757575758,0.6573796078431373,0.21818606060606063],"dir":"ltr"},{"str":":MM","boundary":[0.7807843137254902,0.24258000000000007,0.8805882352941176,0.256519393939394],"dir":"ltr"},{"str":"-","boundary":[0.8770588235294118,0.2388124242424243,0.8845550980392156,0.2541154545454546],"dir":"ltr"},{"str":"اگر","boundary":[0.8547058823529412,0.24466182824337127,0.8721664705882354,0.25996485854640156],"dir":"rtl"},{"str":"φ→","boundary":[0.7674509803921569,0.24099090909090912,0.861436862745098,0.25493030303030306],"dir":"ltr"},{"str":"یک","boundary":[0.7384313725490196,0.24466182824337127,0.7597794117647059,0.25996485854640156],"dir":"rtl"},{"str":"-","boundary":[0.7125490196078431,0.2388124242424243,0.7200643137254902,0.2541154545454546],"dir":"ltr"},{"str":"R","boundary":[0.7201960784313726,0.24106196969696972,0.7334941176470587,0.256365],"dir":"ltr"},{"str":"و","boundary":[0.638235294117647,0.24466182824337127,0.6447009803921568,0.25996485854640156],"dir":"rtl"},{"str":"2φ=φ","boundary":[0.5866666666666667,0.2369975757575757,0.6392305882352942,0.2547772727272728],"dir":"ltr"},{"str":"همریختی","boundary":[0.6499999999999999,0.24466182824337127,0.7080443137254901,0.25996485854640156],"dir":"rtl"},{"str":"آنگاه","boundary":[0.5511764705882352,0.24466182824337113,0.5791186274509803,0.25996485854640144],"dir":"rtl"},{"str":"MkerIm=φ⊕φ","boundary":[0.4225490196078432,0.24099090909090912,0.5734941176470588,0.256519393939394],"dir":"ltr"},{"str":"R","boundary":[0.8598039215686275,0.2754559090909091,0.8730829411764707,0.29075893939393943],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.2754559090909091,0.8848998039215686,0.29075893939393943],"dir":"ltr"},{"str":"حلقهاي","boundary":[0.8094117647058824,0.27905576763731066,0.8544958823529413,0.294358797940341],"dir":"rtl"},{"str":"جابجایی","boundary":[0.7537254901960785,0.27905576763731066,0.8046554901960784,0.294358797940341],"dir":"rtl"},{"str":"و","boundary":[0.7421568627450981,0.27905576763731066,0.7482727450980393,0.294358797940341],"dir":"rtl"},{"str":"I","boundary":[0.7303921568627451,0.2754559090909091,0.7371149019607843,0.29075893939393943],"dir":"ltr"},{"str":"ای","boundary":[0.717818431372549,0.27905576763731066,0.7249605882352941,0.294358797940341],"dir":"rtl"},{"str":"هآلی","boundary":[0.6754901960784314,0.27905576763731066,0.7084313725490196,0.294358797940341],"dir":"rtl"},{"str":"از","boundary":[0.6609803921568628,0.27905576763731066,0.6701496078431373,0.294358797940341],"dir":"rtl"},{"str":"آن","boundary":[0.64,0.27905576763731066,0.6560394117647059,0.294358797940341],"dir":"rtl"},{"str":"باش","boundary":[0.6105635294117647,0.27905576763731066,0.6350398039215687,0.294358797940341],"dir":"rtl"},{"str":"-","boundary":[0.5431372549019607,0.2732063636363637,0.5506335294117647,0.288509393939394],"dir":"ltr"},{"str":"R","boundary":[0.5507843137254902,0.2754559090909091,0.5640633333333332,0.29075893939393943],"dir":"ltr"},{"str":"M","boundary":[0.5741176470588235,0.2754559090909091,0.5917233333333334,0.29075893939393943],"dir":"ltr"},{"str":"،","boundary":[0.5970588235294118,0.27905576763731066,0.6011764705882352,0.294358797940341],"dir":"ltr"},{"str":"م","boundary":[0.525661568627451,0.27905576763731066,0.5382343137254902,0.294358797940341],"dir":"rtl"},{"str":"ول","boundary":[0.4990196078431373,0.27905576763731066,0.5162745098039216,0.294358797940341],"dir":"rtl"},{"str":"متناهی","boundary":[0.44411764705882356,0.27905576763731066,0.49387411764705885,0.294358797940341],"dir":"rtl"},{"str":"مول","boundary":[0.4158576470588235,0.27905576763731066,0.43892784313725486,0.294358797940341],"dir":"rtl"},{"str":"که","boundary":[0.3796078431372549,0.27905576763731066,0.4014092156862745,0.294358797940341],"dir":"rtl"},{"str":"توسط","boundary":[0.3331372549019608,0.27905576763731066,0.37454901960784315,0.294358797940341],"dir":"rtl"},{"str":"n","boundary":[0.3180392156862746,0.2754559090909091,0.3280388235294118,0.29075893939393943],"dir":"ltr"},{"str":"عضو","boundary":[0.2805882352941177,0.27905576763731066,0.31296352941176475,0.294358797940341],"dir":"rtl"},{"str":"تولی","boundary":[0.24860274509803926,0.27905576763731066,0.27555450980392165,0.294358797940341],"dir":"rtl"},{"str":"میشود","boundary":[0.1782352941176471,0.27905576763731066,0.23434215686274512,0.294358797940341],"dir":"rtl"},{"str":"φ","boundary":[0.7974509803921569,0.3108393939393939,0.8083286274509804,0.32477878787878783],"dir":"ltr"},{"str":"⊆","boundary":[0.8417647058823529,0.30902121212121214,0.8546266666666666,0.32296060606060606],"dir":"ltr"},{"str":"(M)IM","boundary":[0.808235294117647,0.31242848484848484,0.8806180392156862,0.3263678787878788],"dir":"ltr"},{"str":"آنگاه","boundary":[0.7619607843137255,0.314510313091856,0.7898988235294118,0.3298133433948863],"dir":"rtl"},{"str":"اعضایی","boundary":[0.7137254901960784,0.314510313091856,0.757003137254902,0.3298133433948863],"dir":"rtl"},{"str":"از","boundary":[0.699607843137255,0.314510313091856,0.7087770588235295,0.3298133433948863],"dir":"rtl"},{"str":"I","boundary":[0.687843137254902,0.31091045454545446,0.6945431372549019,0.3262134848484848],"dir":"ltr"},{"str":"مانن","boundary":[0.6623282352941177,0.314510313091856,0.6829354901960785,0.3298133433948863],"dir":"rtl"},{"str":"a1","boundary":[0.5772549019607842,0.30917484848484855,0.5938635294117647,0.32704151515151525],"dir":"ltr"},{"str":",","boundary":[0.5954901960784313,0.30917484848484855,0.6007621568627451,0.3252354545454546],"dir":"ltr"},{"str":"....,","boundary":[0.6013725490196079,0.30917484848484855,0.6277323529411766,0.3252354545454546],"dir":"ltr"},{"str":"a","boundary":[0.6276470588235294,0.30917484848484855,0.6369511764705882,0.3252354545454546],"dir":"ltr"},{"str":"n","boundary":[0.6380392156862745,0.31650575757575766,0.6461543137254901,0.32893000000000006],"dir":"ltr"},{"str":"موجودن","boundary":[0.5272301960784315,0.314510313091856,0.568920980392157,0.3298133433948863],"dir":"rtl"},{"str":"که","boundary":[0.4972549019607843,0.314510313091856,0.5128801960784314,0.3298133433948863],"dir":"rtl"},{"str":":","boundary":[0.49392156862745096,0.30866090909090904,0.49722137254901955,0.32396393939393936],"dir":"ltr"},{"str":"Knnn","boundary":[0.18882352941176472,0.3460181818181818,0.43137254901960786,0.36106999999999995],"dir":"ltr"},{"str":"−−","boundary":[0.2680392156862745,0.3446363636363636,0.4405882352941176,0.3567575757575757],"dir":"ltr"},{"str":"1210φ+φ+φ++=aaa","boundary":[0.1776470588235294,0.34503636363636364,0.5380392156862744,0.364935303030303],"dir":"ltr"},{"str":"−−","boundary":[0.23411764705882354,0.3549393939393939,0.4019607843137255,0.36706060606060603],"dir":"ltr"},{"str":"12nnnM","boundary":[0.2249019607843137,0.3553393939393939,0.46492549019607843,0.36844242424242424],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.3831831818181818,0.8850958823529411,0.3984862121212121],"dir":"ltr"},{"str":"فرض","boundary":[0.842156862745098,0.3867830403645833,0.8728529411764705,0.4020860706676136],"dir":"rtl"},{"str":"کنی","boundary":[0.817426274509804,0.3867830403645833,0.8370321568627451,0.4020860706676136],"dir":"rtl"},{"str":"R","boundary":[0.789607843137255,0.3831831818181818,0.8028170588235295,0.3984862121212121],"dir":"ltr"},{"str":"حلقه","boundary":[0.7552941176470589,0.3867830403645833,0.7842998039215686,0.4020860706676136],"dir":"rtl"},{"str":"جابجایی","boundary":[0.699607843137255,0.3867830403645833,0.7501456862745098,0.4020860706676136],"dir":"rtl"},{"str":"و","boundary":[0.687843137254902,0.3867830403645833,0.6942200000000001,0.4020860706676136],"dir":"rtl"},{"str":"I","boundary":[0.676078431372549,0.3831831818181818,0.682412156862745,0.3984862121212121],"dir":"ltr"},{"str":"ای","boundary":[0.6635047058823529,0.3867830403645833,0.6710390196078431,0.4020860706676136],"dir":"rtl"},{"str":"هآلی","boundary":[0.6272549019607843,0.3867830403645833,0.6541176470588235,0.4020860706676136],"dir":"rtl"},{"str":"از","boundary":[0.6129411764705882,0.3867830403645833,0.6221103921568627,0.4020860706676136],"dir":"rtl"},{"str":"آن","boundary":[0.5919607843137255,0.3867830403645833,0.607665294117647,0.4020860706676136],"dir":"rtl"},{"str":"باش","boundary":[0.5684066666666666,0.3867830403645833,0.5866084313725489,0.4020860706676136],"dir":"rtl"},{"str":"و","boundary":[0.5476470588235294,0.3867830403645833,0.5541372549019608,0.4020860706676136],"dir":"rtl"},{"str":"-","boundary":[0.48980392156862745,0.38093363636363636,0.49723039215686277,0.3962366666666666],"dir":"ltr"},{"str":"R","boundary":[0.49745098039215685,0.3831831818181818,0.5106601960784314,0.3984862121212121],"dir":"ltr"},{"str":"،","boundary":[0.515686274509804,0.3867830403645833,0.519726274509804,0.4020860706676136],"dir":"ltr"},{"str":"M","boundary":[0.5249019607843137,0.3831831818181818,0.5425076470588235,0.3984862121212121],"dir":"ltr"},{"str":"م","boundary":[0.47879882352941167,0.3867830403645833,0.4851954901960783,0.4020860706676136],"dir":"rtl"},{"str":"ول","boundary":[0.45196078431372544,0.3867830403645833,0.4694117647058823,0.4020860706676136],"dir":"rtl"},{"str":"متناهی","boundary":[0.40333333333333327,0.3867830403645833,0.4470113725490195,0.4020860706676136],"dir":"rtl"},{"str":"مول","boundary":[0.3813478431372549,0.3867830403645833,0.3983396078431372,0.4020860706676136],"dir":"rtl"},{"str":"تولی","boundary":[0.34644588235294116,0.3867830403645833,0.36697607843137253,0.4020860706676136],"dir":"rtl"},{"str":"ش","boundary":[0.3158576470588235,0.3867830403645833,0.3320941176470588,0.4020860706676136],"dir":"rtl"},{"str":"ه","boundary":[0.3001960784313725,0.3867830403645833,0.3064705882352941,0.4020860706676136],"dir":"rtl"},{"str":"توسط","boundary":[0.25392156862745097,0.3867830403645833,0.2953305882352941,0.4020860706676136],"dir":"rtl"},{"str":"n","boundary":[0.23901960784313722,0.3831831818181818,0.24892156862745093,0.3984862121212121],"dir":"ltr"},{"str":"عضو","boundary":[0.20176470588235287,0.3867830403645833,0.23396843137254894,0.4020860706676136],"dir":"rtl"},{"str":"که","boundary":[0.17490196078431366,0.3867830403645833,0.1969160784313725,0.4020860706676136],"dir":"rtl"},{"str":"n","boundary":[0.4601960784313726,0.41825787878787873,0.46784313725490206,0.4300760606060606],"dir":"ltr"},{"str":"عضوي","boundary":[0.8456862745098038,0.4249648585464015,0.8851552941176469,0.4402678888494318],"dir":"rtl"},{"str":"⊆","boundary":[0.7441176470588234,0.4194757575757576,0.7569796078431372,0.4334151515151516],"dir":"ltr"},{"str":"∈","boundary":[0.8133333333333334,0.4212939393939394,0.826195294117647,0.43523333333333336],"dir":"ltr"},{"str":"rMIMrR","boundary":[0.7170588235294117,0.4228830303030303,0.8597505882352939,0.4368224242424243],"dir":"ltr"},{"str":"آنگاه","boundary":[0.6815686274509803,0.4249648585464015,0.7093105882352941,0.4402678888494318],"dir":"rtl"},{"str":"∈","boundary":[0.6570588235294118,0.42129469696969696,0.6697809803921568,0.43508257575757575],"dir":"ltr"},{"str":"SI","boundary":[0.6454901960784314,0.42286651515151513,0.6956288235294118,0.436654393939394],"dir":"ltr"},{"str":"موجود","boundary":[0.5998039215686275,0.4249648585464015,0.6385290196078431,0.4402678888494318],"dir":"rtl"},{"str":"است","boundary":[0.5670588235294118,0.4249648585464015,0.5950076470588235,0.4402678888494318],"dir":"rtl"},{"str":"+=","boundary":[0.47333333333333333,0.42083787878787876,0.5733333333333334,0.43508030303030293],"dir":"ltr"},{"str":"که","boundary":[0.5464705882352942,0.4249648585464015,0.5620958823529412,0.4402678888494318],"dir":"rtl"},{"str":"(rS)M","boundary":[0.44647058823529423,0.42246151515151514,0.5192674509803922,0.43670393939393937],"dir":"ltr"},{"str":"0","boundary":[0.5352941176470588,0.4213078787878788,0.543938431372549,0.435550303030303],"dir":"ltr"},{"str":"R","boundary":[0.8598039215686275,0.45575893939393936,0.8730829411764707,0.4710619696969697],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.45575893939393936,0.8848998039215686,0.4710619696969697],"dir":"ltr"},{"str":"حلقهي","boundary":[0.8119607843137255,0.4593587979403409,0.8542998039215687,0.47466182824337116],"dir":"rtl"},{"str":"جابجایی","boundary":[0.756078431372549,0.4593587979403409,0.8067837254901961,0.47466182824337116],"dir":"rtl"},{"str":"و","boundary":[0.7443137254901961,0.4593587979403409,0.7504296078431374,0.47466182824337116],"dir":"rtl"},{"str":"I","boundary":[0.7325490196078431,0.45575893939393936,0.7392154901960785,0.4710619696969697],"dir":"ltr"},{"str":"ای","boundary":[0.7199711764705882,0.4593587979403409,0.7275054901960784,0.47466182824337116],"dir":"rtl"},{"str":"هآلی","boundary":[0.6837254901960784,0.4593587979403409,0.7105841176470588,0.47466182824337116],"dir":"rtl"},{"str":"از","boundary":[0.6692156862745098,0.4593587979403409,0.6783849019607843,0.47466182824337116],"dir":"rtl"},{"str":"آن","boundary":[0.648235294117647,0.4593587979403409,0.6642747058823529,0.47466182824337116],"dir":"rtl"},{"str":"باش","boundary":[0.6248772549019608,0.4593587979403409,0.6430790196078431,0.47466182824337116],"dir":"rtl"},{"str":"و","boundary":[0.6039215686274509,0.4593587979403409,0.6104117647058822,0.47466182824337116],"dir":"rtl"},{"str":"-","boundary":[0.5454901960784314,0.45350939393939393,0.5529166666666667,0.46881242424242425],"dir":"ltr"},{"str":"R","boundary":[0.5531372549019609,0.45575893939393936,0.5663464705882354,0.4710619696969697],"dir":"ltr"},{"str":"،","boundary":[0.5715686274509804,0.4593587979403409,0.5756086274509804,0.47466182824337116],"dir":"ltr"},{"str":"M","boundary":[0.5807843137254902,0.45575893939393936,0.59839,0.4710619696969697],"dir":"ltr"},{"str":"م","boundary":[0.5341176470588236,0.4593587979403409,0.5403429411764707,0.47466182824337116],"dir":"rtl"},{"str":"ول","boundary":[0.507450980392157,0.4593587979403409,0.5249019607843138,0.47466182824337116],"dir":"rtl"},{"str":"متناهی","boundary":[0.45862745098039226,0.4593587979403409,0.5023054901960785,0.47466182824337116],"dir":"rtl"},{"str":"مول","boundary":[0.43644588235294135,0.4593587979403409,0.45343764705882367,0.47466182824337116],"dir":"rtl"},{"str":"که","boundary":[0.40627450980392166,0.4593587979403409,0.4218998039215687,0.47466182824337116],"dir":"rtl"},{"str":"M","boundary":[0.3254901960784313,0.4553704545454545,0.34379313725490196,0.4712795454545455],"dir":"ltr"},{"str":"=","boundary":[0.3484313725490196,0.45355681818181814,0.3597343137254902,0.4694659090909091],"dir":"ltr"},{"str":"IM","boundary":[0.36411764705882355,0.4553704545454545,0.3892764705882353,0.4712795454545455],"dir":"ltr"},{"str":"آنگاه","boundary":[0.2990196078431374,0.4593587979403409,0.3269617647058825,0.47466182824337116],"dir":"rtl"},{"str":"از","boundary":[0.2847058823529413,0.4593587979403409,0.29387509803921585,0.47466182824337116],"dir":"rtl"},{"str":"I","boundary":[0.27294117647058835,0.45575893939393936,0.2796411764705884,0.4710619696969697],"dir":"ltr"},{"str":"مانن","boundary":[0.24095568627450994,0.4593587979403409,0.2676413725490197,0.47466182824337116],"dir":"rtl"},{"str":"a","boundary":[0.21764705882352953,0.45575893939393936,0.22651176470588247,0.4710619696969697],"dir":"ltr"},{"str":"وجود","boundary":[0.17490196078431383,0.4593587979403409,0.21199803921568636,0.47466182824337116],"dir":"rtl"},{"str":"دارد","boundary":[0.8603921568627452,0.49360122218276514,0.8847735294117647,0.5089042524857954],"dir":"rtl"},{"str":"که","boundary":[0.8398039215686275,0.49360122218276514,0.8554292156862746,0.5089042524857954],"dir":"rtl"},{"str":":","boundary":[0.8364705882352942,0.4877518181818182,0.8394619607843139,0.5030548484848485],"dir":"ltr"},{"str":"(a)M","boundary":[0.1776470588235296,0.5278830303030303,0.2376768627450982,0.5418224242424243],"dir":"ltr"},{"str":"−=","boundary":[0.19156862745098038,0.5262939393939394,0.2923529411764706,0.5402333333333335],"dir":"ltr"},{"str":"10","boundary":[0.18196078431372548,0.5267539393939394,0.3262745098039216,0.5406933333333334],"dir":"ltr"},{"str":"-","boundary":[0.8523529411764708,0.5563881818181818,0.8600452941176472,0.5716912121212121],"dir":"ltr"},{"str":"R","boundary":[0.8598039215686275,0.5586377272727273,0.8732790196078432,0.5739407575757576],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.5586377272727273,0.8850958823529411,0.5739407575757576],"dir":"ltr"},{"str":"حلقهاي","boundary":[0.8019607843137256,0.5622375858191287,0.8474370588235296,0.5775406161221591],"dir":"rtl"},{"str":"جابجایی","boundary":[0.7462745098039217,0.5622375858191287,0.7969798039215688,0.5775406161221591],"dir":"rtl"},{"str":"باش","boundary":[0.7229164705882354,0.5622375858191287,0.7411182352941178,0.5775406161221591],"dir":"rtl"},{"str":"و","boundary":[0.7019607843137257,0.5622375858191287,0.7082727450980393,0.5775406161221591],"dir":"rtl"},{"str":"M","boundary":[0.6788235294117648,0.5586377272727273,0.6965572549019609,0.5739407575757576],"dir":"ltr"},{"str":"یک","boundary":[0.6525490196078433,0.5622375858191287,0.6738970588235296,0.5775406161221591],"dir":"rtl"},{"str":"-","boundary":[0.6264705882352942,0.5563881818181818,0.6339858823529413,0.5716912121212121],"dir":"ltr"},{"str":"R","boundary":[0.6341176470588237,0.5586377272727273,0.64741568627451,0.5739407575757576],"dir":"ltr"},{"str":"م","boundary":[0.6150733333333336,0.5622375858191287,0.6214700000000002,0.5775406161221591],"dir":"rtl"},{"str":"ول","boundary":[0.5884313725490198,0.5622375858191287,0.6056862745098042,0.5775406161221591],"dir":"rtl"},{"str":"متناهی","boundary":[0.5398039215686277,0.5622375858191287,0.5834819607843139,0.5775406161221591],"dir":"rtl"},{"str":"مول","boundary":[0.5117400000000002,0.5622375858191287,0.5344670588235296,0.5775406161221591],"dir":"rtl"},{"str":".MM","boundary":[0.39745098039215687,0.5601557575757576,0.4962745098039216,0.5740951515151516],"dir":"ltr"},{"str":".","boundary":[0.498994117647059,0.5563881818181818,0.5022664705882355,0.5716912121212121],"dir":"ltr"},{"str":"اگر","boundary":[0.47019607843137273,0.5622375858191287,0.4941272549019609,0.5775406161221591],"dir":"rtl"},{"str":"φ→","boundary":[0.38529411764705884,0.5585666666666668,0.47339764705882353,0.5725060606060607],"dir":"ltr"},{"str":"همریختی","boundary":[0.3137254901960785,0.5622375858191287,0.37767647058823534,0.5775406161221591],"dir":"rtl"},{"str":"پوشا","boundary":[0.27607843137254906,0.5622375858191287,0.30857215686274514,0.5775406161221591],"dir":"rtl"},{"str":"باش","boundary":[0.24664196078431375,0.5622375858191287,0.2709221568627451,0.5775406161221591],"dir":"rtl"},{"str":"آنگاه","boundary":[0.19843137254901963,0.5622375858191287,0.23219686274509804,0.5775406161221591],"dir":"rtl"},{"str":"φ","boundary":[0.17745098039215684,0.5578045454545455,0.18903803921568627,0.5726530303030303],"dir":"ltr"},{"str":"یکبهیک","boundary":[0.8307843137254903,0.5966315252130682,0.8848774509803923,0.6119345555160985],"dir":"rtl"},{"str":"است","boundary":[0.797843137254902,0.5966315252130682,0.8257919607843137,0.6119345555160985],"dir":"rtl"},{"str":".","boundary":[0.7945098039215687,0.5907821212121213,0.7977378431372548,0.6060851515151515],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.6272740909090909,0.8849188235294119,0.6425771212121212],"dir":"ltr"},{"str":"فرض","boundary":[0.8423529411764705,0.6308739494554925,0.873049019607843,0.6461769797585227],"dir":"rtl"},{"str":"کنی","boundary":[0.8178184313725491,0.6308739494554925,0.8374243137254902,0.6461769797585227],"dir":"rtl"},{"str":"R","boundary":[0.7899999999999999,0.6272740909090909,0.8032092156862745,0.6425771212121212],"dir":"ltr"},{"str":"حوزه","boundary":[0.7552941176470588,0.6308739494554925,0.7851141176470587,0.6461769797585227],"dir":"rtl"},{"str":"صحیح،","boundary":[0.7064705882352941,0.6308739494554925,0.7500343137254901,0.6461769797585227],"dir":"rtl"},{"str":"براي","boundary":[0.6750980392156862,0.6308739494554925,0.7012719607843136,0.6461769797585227],"dir":"rtl"},{"str":"-","boundary":[0.6492156862745097,0.6250245454545454,0.6566421568627451,0.6403275757575758],"dir":"ltr"},{"str":"R","boundary":[0.6568627450980391,0.6272740909090909,0.6700719607843136,0.6425771212121212],"dir":"ltr"},{"str":"م","boundary":[0.6380145098039216,0.6308739494554925,0.6444111764705882,0.6461769797585227],"dir":"rtl"},{"str":"ول","boundary":[0.6111764705882352,0.6308739494554925,0.6286274509803921,0.6461769797585227],"dir":"rtl"},{"str":"M","boundary":[0.5884313725490196,0.6272740909090909,0.6060370588235293,0.6425771212121212],"dir":"ltr"},{"str":"داریم","boundary":[0.5523529411764705,0.6308739494554925,0.5834009803921568,0.6461769797585227],"dir":"rtl"},{"str":":","boundary":[0.5490196078431372,0.6250245454545454,0.5522476470588233,0.6403275757575758],"dir":"ltr"},{"str":"0T(M){xM|Ann(x)}","boundary":[0.1776470588235294,0.6638751515151515,0.4077498039215686,0.6789436363636363],"dir":"ltr"},{"str":"=∈≠","boundary":[0.2235294117647059,0.6634151515151515,0.45194352941176474,0.6773545454545454],"dir":"ltr"},{"str":"T(M)","boundary":[0.8413725490196078,0.7021225757575759,0.8852766666666666,0.7174256060606061],"dir":"ltr"},{"str":"زیرم","boundary":[0.8119360784313724,0.7057224343039773,0.8363419607843136,0.7210254646070077],"dir":"rtl"},{"str":"ول","boundary":[0.7852941176470588,0.7057224343039773,0.8025490196078431,0.7210254646070077],"dir":"rtl"},{"str":"M","boundary":[0.7623529411764705,0.7021225757575759,0.7798758823529411,0.7174256060606061],"dir":"ltr"},{"str":"است","boundary":[0.7296078431372548,0.7057224343039773,0.7575566666666665,0.7210254646070077],"dir":"rtl"},{"str":"و","boundary":[0.718235294117647,0.7057224343039773,0.7245294117647058,0.7210254646070077],"dir":"rtl"},{"str":"M","boundary":[0.66,0.6953733333333333,0.6768698039215687,0.7099187878787878],"dir":"ltr"},{"str":"=","boundary":[0.6947058823529412,0.7008363636363637,0.70504,0.7153818181818182],"dir":"ltr"},{"str":"0T()","boundary":[0.634313725490196,0.7013163636363636,0.7225490196078431,0.71704],"dir":"ltr"},{"str":"TM","boundary":[0.6541176470588235,0.7117369696969698,0.6824878431372549,0.7262824242424243],"dir":"ltr"},{"str":"-","boundary":[0.8215686274509805,0.7380548484848485,0.8290649019607844,0.7533578787878789],"dir":"ltr"},{"str":"Z","boundary":[0.8290196078431373,0.740304393939394,0.8411896078431375,0.7556074242424243],"dir":"ltr"},{"str":"،","boundary":[0.8462745098039217,0.7439042524857955,0.8503843137254904,0.7592072827888258],"dir":"ltr"},{"str":"M","boundary":[0.8552941176470589,0.740304393939394,0.8729696078431374,0.7556074242424243],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.740304393939394,0.8848998039215686,0.7556074242424243],"dir":"ltr"},{"str":"م","boundary":[0.8103674509803923,0.7439042524857955,0.816764117647059,0.7592072827888258],"dir":"rtl"},{"str":"ول","boundary":[0.783529411764706,0.7439042524857955,0.8009803921568629,0.7592072827888258],"dir":"rtl"},{"str":"دوري","boundary":[0.7454901960784315,0.7439042524857955,0.7786392156862746,0.7592072827888258],"dir":"rtl"},{"str":"متناهی","boundary":[0.6968627450980394,0.7439042524857955,0.740344705882353,0.7592072827888258],"dir":"rtl"},{"str":"آنگاه","boundary":[0.6639215686274511,0.7439042524857955,0.6918890196078432,0.7592072827888258],"dir":"rtl"},{"str":"دنبالهي","boundary":[0.6129411764705884,0.7439042524857955,0.6590788235294118,0.7592072827888258],"dir":"rtl"},{"str":"دقیق","boundary":[0.5768627450980395,0.7439042524857955,0.6080462745098041,0.7592072827888258],"dir":"rtl"},{"str":"زیر","boundary":[0.5537254901960786,0.7439042524857955,0.5716607843137257,0.7592072827888258],"dir":"rtl"},{"str":"موجود","boundary":[0.5100000000000002,0.7439042524857955,0.5487250980392159,0.7592072827888258],"dir":"rtl"},{"str":"است","boundary":[0.47725490196078446,0.7439042524857955,0.5052037254901962,0.7592072827888258],"dir":"rtl"},{"str":":","boundary":[0.4739215686274511,0.7380548484848485,0.4771496078431373,0.7533578787878789],"dir":"ltr"},{"str":"ZZM","boundary":[0.2133333333333335,0.7778830303030304,0.3407011764705884,0.7918224242424243],"dir":"ltr"},{"str":"→→→→","boundary":[0.1892156862745098,0.7762939393939394,0.36352941176470593,0.7902333333333332],"dir":"ltr"},{"str":"00","boundary":[0.1754901960784314,0.7767539393939394,0.5021568627450981,0.7906933333333332],"dir":"ltr"},{"str":"Γ=ΓCC(M)(M)","boundary":[0.1776470588235294,0.8034354545454545,0.3562007843137255,0.8237066666666667],"dir":"ltr"},{"str":"-","boundary":[0.35745098039215684,0.8087892424242425,0.36431156862745095,0.8240922727272728],"dir":"ltr"},{"str":"IiIi","boundary":[0.1896078431372549,0.815109090909091,0.3667843137254902,0.8272303030303031],"dir":"ltr"},{"str":"iIiI","boundary":[0.20294117647058824,0.8275333333333335,0.30164705882352943,0.8396545454545455],"dir":"ltr"},{"str":"∈∈","boundary":[0.20666666666666667,0.8261515151515152,0.3458823529411765,0.8382727272727273],"dir":"ltr"},{"str":"Hom(Q,Z)Hom(Z,Q)Hom(Z,Z)","boundary":[0.4882352941176471,0.8524780303030302,0.8451872549019608,0.8668719696969696],"dir":"ltr"},{"str":"0","boundary":[0.8617647058823529,0.8513121212121212,0.8705009803921567,0.8657060606060606],"dir":"ltr"},{"str":"-∞∞===","boundary":[0.5856862745098039,0.8494184848484849,0.9807843137254902,0.8670727272727272],"dir":"ltr"},{"str":"ZZZpp","boundary":[0.5260784313725491,0.8582909090909092,0.9333333333333335,0.8738969696969698],"dir":"ltr"},{"str":"M","boundary":[0.8552941176470589,0.8910619696969697,0.87316568627451,0.9063650000000001],"dir":"ltr"},{"str":"-","boundary":[0.8782352941176471,0.8910619696969697,0.8850958823529411,0.9063650000000001],"dir":"ltr"},{"str":"و","boundary":[0.843921568627451,0.8946618282433713,0.8505643137254904,0.9099648585464015],"dir":"rtl"},{"str":"N","boundary":[0.8243137254901961,0.8910619696969697,0.8388780392156864,0.9063650000000001],"dir":"ltr"},{"str":"دو","boundary":[0.8052941176470588,0.8946618282433713,0.8194235294117648,0.9099648585464015],"dir":"rtl"},{"str":"-","boundary":[0.7794117647058824,0.8888124242424242,0.7869319607843137,0.9041154545454545],"dir":"ltr"},{"str":"R","boundary":[0.7870588235294118,0.8910619696969697,0.8003617647058823,0.9063650000000001],"dir":"ltr"},{"str":"م","boundary":[0.768210588235294,0.8946618282433713,0.7746072549019607,0.9099648585464015],"dir":"rtl"},{"str":"ول","boundary":[0.7415686274509804,0.8946618282433713,0.7588235294117647,0.9099648585464015],"dir":"rtl"},{"str":"و","boundary":[0.7301960784313726,0.8946618282433713,0.7366666666666666,0.9099648585464015],"dir":"rtl"},{"str":"I","boundary":[0.7184313725490196,0.8910619696969697,0.7250260784313725,0.9063650000000001],"dir":"ltr"},{"str":"ای","boundary":[0.7060784313725489,0.8946618282433713,0.7136127450980391,0.9099648585464015],"dir":"rtl"},{"str":"هآل","boundary":[0.6747058823529412,0.8946618282433713,0.696862745098039,0.9099648585464015],"dir":"rtl"},{"str":"آن","boundary":[0.6539215686274509,0.8946618282433713,0.6696260784313725,0.9099648585464015],"dir":"rtl"},{"str":"که","boundary":[0.6331372549019606,0.8946618282433713,0.6491880392156861,0.9099648585464015],"dir":"rtl"},{"str":"IMIN","boundary":[0.5413725490196077,0.8924119696969696,0.6043919607843137,0.9061998484848484],"dir":"ltr"},{"str":"0","boundary":[0.6221568627450981,0.8912951515151515,0.6305252941176471,0.9050830303030303],"dir":"ltr"},{"str":"==","boundary":[0.5713725490196079,0.8908401515151515,0.6482352941176471,0.9046280303030302],"dir":"ltr"},{"str":"آنگاه","boundary":[0.5058823529411766,0.8946618282433713,0.5335911764705883,0.9099648585464015],"dir":"rtl"},{"str":":","boundary":[0.5025490196078432,0.8888124242424242,0.5057770588235294,0.9041154545454545],"dir":"ltr"},{"str":"19","boundary":[0.19666666666666666,0.934610303030303,0.21183294117647058,0.9488527272727273],"dir":"ltr"}],"boundary":[0.1749,0.06988,0.98078,0.94885],"dir":"ltr","type":"paragraph"}]},{"token":null,"index":19,"image":{"jpeg":"/storage/books/b1703287947a3c4c/pages/cfef3a4150faebaf537e372823f675b2.jpg","blurred":"/storage/books/b1703287947a3c4c/pages/460a2765fd91ba218f762a580f80b4f4.jpg"},"info":{"width":612,"height":792,"margin":[0.11843,0.07261,0.09353,0.05251]},"elements":[{"words":[{"str":"مجموعه","boundary":[0.25823529411764706,0.07261079832850337,0.3097596078431373,0.08685322257092762],"dir":"rtl"},{"str":"سوالات","boundary":[0.2076470588235294,0.07261079832850337,0.2542870588235294,0.08685322257092762],"dir":"rtl"},{"str":"ریاض","boundary":[0.17509803921568626,0.07261079832850337,0.20380235294117646,0.08685322257092762],"dir":"rtl"},{"str":"محض","boundary":[0.1227450980392157,0.07261079832850337,0.15857803921568628,0.08685322257092762],"dir":"rtl"},{"str":"=","boundary":[0.22686274509803922,0.09492954545454542,0.23687392156862744,0.1090204545454545],"dir":"ltr"},{"str":"Hom(M,N)Hom(M,N)RR","boundary":[0.12117647058823529,0.09653590909090906,0.40137254901960784,0.11399893939393936],"dir":"ltr"},{"str":"I","boundary":[0.28294117647058825,0.11536257575757579,0.39927098039215686,0.12702924242424246],"dir":"ltr"},{"str":"=","boundary":[0.2419607843137255,0.14038257575757576,0.2521872549019608,0.15477651515151514],"dir":"ltr"},{"str":"Hom(Z,Z)ZZmn(m,n)","boundary":[0.12117647058823529,0.14202348484848484,0.30525627450980397,0.16009257575757574],"dir":"ltr"},{"str":"-","boundary":[0.31235294117647056,0.14121348484848484,0.31901745098039214,0.15651651515151516],"dir":"ltr"},{"str":"-","boundary":[0.8215686274509804,0.17439530303030296,0.828233137254902,0.18969833333333327],"dir":"ltr"},{"str":"اگر","boundary":[0.7988235294117647,0.1779951615767045,0.816676274509804,0.19329819187973482],"dir":"rtl"},{"str":"M","boundary":[0.776078431372549,0.17439530303030296,0.793728431372549,0.18969833333333327],"dir":"ltr"},{"str":"و","boundary":[0.7645098039215686,0.1779951615767045,0.7709309803921568,0.19329819187973482],"dir":"rtl"},{"str":"N","boundary":[0.7450980392156863,0.17439530303030296,0.7594407843137255,0.18969833333333327],"dir":"ltr"},{"str":"متناهی","boundary":[0.6964705882352942,0.1779951615767045,0.7401486274509804,0.19329819187973482],"dir":"rtl"},{"str":"مول","boundary":[0.6744850980392157,0.1779951615767045,0.6911337254901961,0.19329819187973482],"dir":"rtl"},{"str":"باش","boundary":[0.641764705882353,0.1779951615767045,0.6603586274509805,0.19329819187973482],"dir":"rtl"},{"str":"RHom(M,N)","boundary":[0.5241176470588235,0.17549181818181814,0.625575294117647,0.19325787878787876],"dir":"ltr"},{"str":"،","boundary":[0.6284313725490196,0.1779951615767045,0.6325490196078432,0.19329819187973482],"dir":"ltr"},{"str":"متناهی","boundary":[0.4727450980392156,0.1779951615767045,0.516272156862745,0.19329819187973482],"dir":"rtl"},{"str":"مول","boundary":[0.45075960784313723,0.1779951615767045,0.4674082352941176,0.19329819187973482],"dir":"rtl"},{"str":"است","boundary":[0.4084313725490195,0.1779951615767045,0.4361841176470587,0.19329819187973482],"dir":"rtl"},{"str":".","boundary":[0.4050980392156862,0.17214575757575754,0.4083260784313725,0.18744878787878785],"dir":"ltr"},{"str":"∏","boundary":[0.16490196078431374,0.20627348484848487,0.18410529411764706,0.2243037878787879],"dir":"ltr"},{"str":"/≅","boundary":[0.2431372549019608,0.20750303030303027,0.25347137254901964,0.22341212121212123],"dir":"ltr"},{"str":"CiRiHom(M,N)Hom(M,N)","boundary":[0.12117647058823529,0.20916121212121208,0.3850305882352941,0.22723030303030298],"dir":"ltr"},{"str":"∈","boundary":[0.1684313725490196,0.22599999999999998,0.1796156862745098,0.2381212121212121],"dir":"ltr"},{"str":"iI","boundary":[0.16470588235294104,0.22738181818181805,0.19380392156862733,0.23950303030303016],"dir":"ltr"},{"str":"∈","boundary":[0.2633333333333333,0.2284363636363636,0.2722807843137255,0.2381333333333333],"dir":"ltr"},{"str":"ZiI","boundary":[0.24372549019607828,0.22495757575757566,0.2830431372549018,0.23923878787878786],"dir":"ltr"},{"str":"C","boundary":[0.17862745098039215,0.25703757575757574,0.19282823529411763,0.2703709090909091],"dir":"ltr"},{"str":"/≅","boundary":[0.2515686274509804,0.2526545454545454,0.26190274509803924,0.2685636363636364],"dir":"ltr"},{"str":"∏","boundary":[0.26784313725490194,0.25127272727272726,0.2872078431372549,0.26945454545454545],"dir":"ltr"},{"str":"RiRiHom(M,N)Hom(M,N)","boundary":[0.12117647058823529,0.2543127272727272,0.39738352941176475,0.2723818181818181],"dir":"ltr"},{"str":"∈","boundary":[0.1807843137254902,0.2737393939393939,0.18973176470588235,0.2834363636363636],"dir":"ltr"},{"str":"iI","boundary":[0.1780392156862745,0.27484484848484847,0.20029803921568629,0.2845418181818182],"dir":"ltr"},{"str":"∈","boundary":[0.2711764705882353,0.27130303030303027,0.28236078431372547,0.2834242424242424],"dir":"ltr"},{"str":"ZiI","boundary":[0.25235294117647056,0.270260606060606,0.2963529411764706,0.28480606060606045],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941176,0.2969942424242424,0.8233786274509803,0.3122972727272727],"dir":"ltr"},{"str":"براي","boundary":[0.7890196078431373,0.30284364642518935,0.8155462745098041,0.31814667672821967],"dir":"rtl"},{"str":"هر","boundary":[0.7688235294117648,0.30284364642518935,0.7840923529411765,0.31814667672821967],"dir":"rtl"},{"str":"گروه","boundary":[0.7364705882352942,0.30284364642518935,0.763726862745098,0.31814667672821967],"dir":"rtl"},{"str":"آبلی","boundary":[0.7062745098039216,0.30284364642518935,0.731472156862745,0.31814667672821967],"dir":"rtl"},{"str":"از","boundary":[0.692156862745098,0.30284364642518935,0.7013260784313726,0.31814667672821967],"dir":"rtl"},{"str":"مرتبه","boundary":[0.6549019607843137,0.30284364642518935,0.6871807843137255,0.31814667672821967],"dir":"rtl"},{"str":"متناهی","boundary":[0.606078431372549,0.30284364642518935,0.6497564705882353,0.31814667672821967],"dir":"rtl"},{"str":"0GA","boundary":[0.12098039215686278,0.332818787878788,0.1998039215686275,0.34805106060606056],"dir":"ltr"},{"str":"⊗=","boundary":[0.14058823529411765,0.33235378787878794,0.21188882352941177,0.34644469696969704],"dir":"ltr"},{"str":"Z","boundary":[0.14313725490196083,0.3479548484848484,0.15274784313725495,0.35977303030303026],"dir":"ltr"},{"str":"Q/ZQ/Z","boundary":[0.12098039215686274,0.37229348484848496,0.2243076470588235,0.38638439393939406],"dir":"ltr"},{"str":"0","boundary":[0.23647058823529413,0.37115212121212127,0.24502294117647058,0.38524303030303036],"dir":"ltr"},{"str":"⊗=","boundary":[0.16352941176470587,0.3706871212121212,0.28110450980392154,0.38477803030303037],"dir":"ltr"},{"str":"Z","boundary":[0.166078431372549,0.38627166666666674,0.18145156862745096,0.39793833333333345],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941176,0.4103275757575758,0.8280845098039216,0.4256306060606061],"dir":"ltr"},{"str":"اگر","boundary":[0.798235294117647,0.4161769797585227,0.8158966666666666,0.431480010061553],"dir":"rtl"},{"str":"N","boundary":[0.7784313725490196,0.4125771212121212,0.7927741176470587,0.4278801515151515],"dir":"ltr"},{"str":"و","boundary":[0.7670588235294118,0.4161769797585227,0.77348,0.431480010061553],"dir":"rtl"},{"str":"M","boundary":[0.7441176470588234,0.4125771212121212,0.7617676470588235,0.4278801515151515],"dir":"ltr"},{"str":"متناهی","boundary":[0.6954901960784313,0.4161769797585227,0.7391682352941176,0.431480010061553],"dir":"rtl"},{"str":"مول","boundary":[0.673504705882353,0.4161769797585227,0.6904964705882353,0.431480010061553],"dir":"rtl"},{"str":"باش","boundary":[0.6409556862745098,0.4161769797585227,0.6593535294117647,0.431480010061553],"dir":"rtl"},{"str":"⊗","boundary":[0.5972549019607842,0.4115939393939394,0.6117113725490195,0.4261393939393939],"dir":"ltr"},{"str":"MN","boundary":[0.5778431372549019,0.41325212121212124,0.6484250980392157,0.42779757575757577],"dir":"ltr"},{"str":"نیز","boundary":[0.5533333333333333,0.4161769797585227,0.5701072549019608,0.431480010061553],"dir":"rtl"},{"str":"متناهی","boundary":[0.5047058823529411,0.4161769797585227,0.5483839215686274,0.431480010061553],"dir":"rtl"},{"str":"مول","boundary":[0.4827203921568628,0.4161769797585227,0.4997121568627451,0.431480010061553],"dir":"rtl"},{"str":"است","boundary":[0.4405882352941176,0.4161769797585227,0.4685370588235294,0.431480010061553],"dir":"rtl"},{"str":".","boundary":[0.43725490196078426,0.4103275757575758,0.44048294117647047,0.4256306060606061],"dir":"ltr"},{"str":"R","boundary":[0.8025490196078432,0.4469710606060606,0.8158280392156863,0.46227409090909094],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941177,0.4447215151515152,0.8280845098039217,0.46002454545454546],"dir":"ltr"},{"str":"حلقه","boundary":[0.7682352941176471,0.4505709191524621,0.7976227450980392,0.46587394945549243],"dir":"rtl"},{"str":"و","boundary":[0.7564705882352942,0.4505709191524621,0.7629172549019608,0.46587394945549243],"dir":"rtl"},{"str":"I","boundary":[0.7449019607843138,0.4469710606060606,0.7514317647058825,0.46227409090909094],"dir":"ltr"},{"str":"ای","boundary":[0.7325243137254902,0.4505709191524621,0.7396664705882353,0.46587394945549243],"dir":"rtl"},{"str":"هآلی","boundary":[0.6964705882352942,0.4505709191524621,0.7231372549019608,0.46587394945549243],"dir":"rtl"},{"str":"از","boundary":[0.6821568627450981,0.4505709191524621,0.6913260784313726,0.46587394945549243],"dir":"rtl"},{"str":"آن","boundary":[0.661372549019608,0.4505709191524621,0.6774119607843139,0.46587394945549243],"dir":"rtl"},{"str":"باش","boundary":[0.6382105882352942,0.4505709191524621,0.6566084313725491,0.46587394945549243],"dir":"rtl"},{"str":"R","boundary":[0.5566666666666665,0.4538639393939394,0.5668678431372548,0.4656821212121212],"dir":"ltr"},{"str":"N","boundary":[0.5705882352941176,0.44791606060606065,0.5838956862745098,0.4621584848484848],"dir":"ltr"},{"str":"،","boundary":[0.5872549019607842,0.4505709191524621,0.5912949019607843,0.46587394945549243],"dir":"ltr"},{"str":"MR","boundary":[0.5941176470588235,0.44791606060606065,0.6213776470588235,0.4656821212121212],"dir":"ltr"},{"str":"،","boundary":[0.6247058823529412,0.4505709191524621,0.6288235294117648,0.46587394945549243],"dir":"ltr"},{"str":"که","boundary":[0.5333333333333333,0.4505709191524621,0.5489586274509803,0.46587394945549243],"dir":"rtl"},{"str":"MI","boundary":[0.484313725490196,0.44833757575757577,0.5068329411764706,0.46227696969696974],"dir":"ltr"},{"str":"=","boundary":[0.5109803921568628,0.4467484848484849,0.5208839215686275,0.46068787878787887],"dir":"ltr"},{"str":"0","boundary":[0.5229411764705882,0.44720848484848486,0.531401568627451,0.46114787878787883],"dir":"ltr"},{"str":"و","boundary":[0.4700000000000001,0.4505709191524621,0.47637686274509816,0.46587394945549243],"dir":"rtl"},{"str":"IN","boundary":[0.4233333333333334,0.4474945454545455,0.44242039215686285,0.46204],"dir":"ltr"},{"str":"=","boundary":[0.4472549019607844,0.44583636363636364,0.45758901960784315,0.46038181818181817],"dir":"ltr"},{"str":"0","boundary":[0.4594117647058824,0.4463163636363637,0.46824,0.4608618181818182],"dir":"ltr"},{"str":"آنگاه","boundary":[0.3876470588235294,0.4505709191524621,0.4155850980392157,0.46587394945549243],"dir":"rtl"},{"str":":","boundary":[0.38431372549019605,0.4447215151515152,0.38754176470588236,0.46002454545454546],"dir":"ltr"},{"str":"⊗≅⊗","boundary":[0.14372549019607841,0.48007954545454545,0.2203539215686275,0.49447348484848486],"dir":"ltr"},{"str":"MNN","boundary":[0.12117647058823529,0.48172045454545454,0.2776470588235294,0.49611439393939394],"dir":"ltr"},{"str":"R","boundary":[0.14529411764705882,0.4960016666666666,0.1617743137254902,0.5079713636363636],"dir":"ltr"},{"str":"Z","boundary":[0.1847058823529412,0.49585015151515144,0.2003186274509804,0.5078198484848484],"dir":"ltr"},{"str":"R","boundary":[0.20176470588235296,0.4944865151515151,0.2182449019607843,0.5064562121212121],"dir":"ltr"},{"str":"I","boundary":[0.20490196078431375,0.5078198484848484,0.21620843137254903,0.5197895454545455],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941176,0.5322972727272728,0.8280845098039216,0.547600303030303],"dir":"ltr"},{"str":"اگر","boundary":[0.797843137254902,0.5381466767282197,0.8155045098039215,0.5534497070312501],"dir":"rtl"},{"str":"R","boundary":[0.7792156862745098,0.5345468181818182,0.7924692156862745,0.5498498484848485],"dir":"ltr"},{"str":"یک","boundary":[0.7525490196078433,0.5381466767282197,0.7738970588235295,0.5534497070312501],"dir":"rtl"},{"str":"می","boundary":[0.7346798039215687,0.5381466767282197,0.7471760784313727,0.5534497070312501],"dir":"rtl"},{"str":"ان","boundary":[0.7115686274509805,0.5381466767282197,0.7252927450980393,0.5534497070312501],"dir":"rtl"},{"str":"موضعی","boundary":[0.661764705882353,0.5381466767282197,0.706162549019608,0.5534497070312501],"dir":"rtl"},{"str":")","boundary":[0.6507843137254903,0.5322972727272728,0.6564705882352943,0.547600303030303],"dir":"ltr"},{"str":"فقط","boundary":[0.6252941176470589,0.5381466767282197,0.6505474509803921,0.5534497070312501],"dir":"rtl"},{"str":"یک","boundary":[0.5986274509803922,0.5381466767282197,0.6199754901960784,0.5534497070312501],"dir":"rtl"},{"str":"ای","boundary":[0.5860221568627451,0.5381466767282197,0.5931643137254902,0.5534497070312501],"dir":"rtl"},{"str":"هآل","boundary":[0.5541176470588235,0.5381466767282197,0.5766350980392156,0.5534497070312501],"dir":"rtl"},{"str":"ماکسیمال","boundary":[0.4882352941176471,0.5381466767282197,0.5490386274509804,0.5534497070312501],"dir":"rtl"},{"str":"دارد","boundary":[0.45862745098039215,0.5381466767282197,0.48300882352941177,0.5534497070312501],"dir":"rtl"},{"str":"(","boundary":[0.45294313725490193,0.5322972727272728,0.45877588235294114,0.547600303030303],"dir":"ltr"},{"str":"و","boundary":[0.4413725490196079,0.5381466767282197,0.44801725490196076,0.5534497070312501],"dir":"rtl"},{"str":"جابجا","boundary":[0.4023529411764706,0.5381466767282197,0.436611568627451,0.5534497070312501],"dir":"rtl"},{"str":"یی","boundary":[0.38058823529411767,0.5381466767282197,0.39734235294117654,0.5534497070312501],"dir":"rtl"},{"str":"باش","boundary":[0.35095568627450985,0.5381466767282197,0.3752358823529412,0.5534497070312501],"dir":"rtl"},{"str":"MR","boundary":[0.30764705882352944,0.5354918181818182,0.335103137254902,0.5532578787878788],"dir":"ltr"},{"str":"و","boundary":[0.2933333333333333,0.5381466767282197,0.2997101960784313,0.5534497070312501],"dir":"rtl"},{"str":"R","boundary":[0.26274509803921564,0.541439696969697,0.2729462745098039,0.5532578787878788],"dir":"ltr"},{"str":"N","boundary":[0.27666666666666667,0.5354918181818182,0.2899741176470588,0.5497342424242424],"dir":"ltr"},{"str":"متناهی","boundary":[0.20509803921568626,0.5381466767282197,0.25485450980392155,0.5534497070312501],"dir":"rtl"},{"str":"مول","boundary":[0.17683803921568628,0.5381466767282197,0.19956509803921568,0.5534497070312501],"dir":"rtl"},{"str":"باشن","boundary":[0.13176470588235295,0.5381466767282197,0.16253666666666666,0.5534497070312501],"dir":"rtl"},{"str":"،","boundary":[0.11843137254901961,0.5381466767282197,0.12254901960784313,0.5534497070312501],"dir":"ltr"},{"str":"00","boundary":[0.673921568627451,0.568580606060606,0.9064705882352941,0.5828230303030303],"dir":"ltr"},{"str":"آنگاه","boundary":[0.800392156862745,0.572389100970644,0.8281009803921568,0.5876921312736743],"dir":"rtl"},{"str":"N","boundary":[0.5923529411764705,0.5694642424242424,0.6059435294117647,0.584009696969697],"dir":"ltr"},{"str":"=","boundary":[0.6103921568627451,0.5678060606060605,0.6207262745098039,0.5823515151515151],"dir":"ltr"},{"str":"0","boundary":[0.6225490196078431,0.5682860606060606,0.6313772549019607,0.5828315151515151],"dir":"ltr"},{"str":"،","boundary":[0.633921568627451,0.5723891009706439,0.637961568627451,0.5876921312736741],"dir":"ltr"},{"str":"RMMN","boundary":[0.6407843137254902,0.5697342424242424,0.8075101960784313,0.5875003030303031],"dir":"ltr"},{"str":"=⇔⊗=","boundary":[0.6617647058823529,0.568110606060606,0.822826274509804,0.5823530303030302],"dir":"ltr"},{"str":"R","boundary":[0.8025490196078432,0.6084862121212121,0.8158280392156863,0.6237892424242424],"dir":"ltr"},{"str":"-","boundary":[0.8205882352941177,0.6062366666666666,0.8280845098039217,0.6215396969696969],"dir":"ltr"},{"str":"حلقه","boundary":[0.7682352941176471,0.6120860706676136,0.7976227450980392,0.6273891009706439],"dir":"rtl"},{"str":"و","boundary":[0.7564705882352942,0.6120860706676136,0.7629172549019608,0.6273891009706439],"dir":"rtl"},{"str":"RRR","boundary":[0.46784313725490195,0.6026130303030303,0.5919607843137255,0.6168554545454545],"dir":"ltr"},{"str":"I","boundary":[0.7211764705882353,0.6084862121212121,0.7276470588235294,0.6237892424242424],"dir":"ltr"},{"str":"/","boundary":[0.7329411764705882,0.6084862121212121,0.7384466666666666,0.6237892424242424],"dir":"ltr"},{"str":"J","boundary":[0.743544705882353,0.6084862121212121,0.7513954901960785,0.6237892424242424],"dir":"ltr"},{"str":"ای","boundary":[0.7087988235294117,0.6120860706676136,0.7159409803921568,0.6273891009706439],"dir":"rtl"},{"str":"هآلهایی","boundary":[0.647843137254902,0.6120860706676136,0.6994117647058823,0.6273891009706439],"dir":"rtl"},{"str":"از","boundary":[0.6335294117647058,0.6120860706676136,0.6426986274509804,0.6273891009706439],"dir":"rtl"},{"str":"آن","boundary":[0.6127450980392156,0.6120860706676136,0.6284496078431371,0.6273891009706439],"dir":"rtl"},{"str":"باشن","boundary":[0.5833333333333333,0.6120860706676136,0.608026862745098,0.6273891009706439],"dir":"rtl"},{"str":"⊗≅","boundary":[0.4849019607843137,0.6078075757575757,0.5522380392156863,0.62205],"dir":"ltr"},{"str":"R","boundary":[0.48647058823529415,0.6237124242424242,0.4969396078431373,0.6355306060606061],"dir":"ltr"},{"str":"R","boundary":[0.5203921568627451,0.6235609090909091,0.5308611764705883,0.635379090909091],"dir":"ltr"},{"str":"+","boundary":[0.548235294117647,0.6168984848484849,0.5583541176470588,0.6311409090909091],"dir":"ltr"},{"str":"IJIJ","boundary":[0.4713725490196079,0.6185221212121212,0.5855419607843138,0.6327645454545454],"dir":"ltr"},{"str":"⊗≅","boundary":[0.14941176470588236,0.6499295454545456,0.23404568627450978,0.6640204545454547],"dir":"ltr"},{"str":"-","boundary":[0.2372549019607843,0.6480548484848485,0.24004529411764702,0.6633578787878789],"dir":"ltr"},{"str":"ZZZmnd","boundary":[0.1215686274509804,0.6515359090909091,0.2627450980392157,0.6691669696969699],"dir":"ltr"},{"str":"Z","boundary":[0.15196078431372548,0.6655306060606062,0.16130549019607843,0.677348787878788],"dir":"ltr"},{"str":"Z","boundary":[0.19450980392156864,0.6653790909090909,0.20385450980392159,0.6771972727272727],"dir":"ltr"},{"str":"Q","boundary":[0.7613725490196078,0.691535909090909,0.7746621568627451,0.705626818181818],"dir":"ltr"},{"str":"0","boundary":[0.7925490196078432,0.6982733333333333,0.8011013725490196,0.7123642424242423],"dir":"ltr"},{"str":"(⊗=","boundary":[0.74,0.6960851515151515,0.8171829411764705,0.7118992424242424],"dir":"ltr"},{"str":"21","boundary":[0.8094117647058824,0.6960851515151515,0.8282352941176471,0.7113881818181819],"dir":"ltr"},{"str":"Q","boundary":[0.5635294117647058,0.691535909090909,0.5766952941176471,0.705626818181818],"dir":"ltr"},{"str":"0","boundary":[0.5949019607843137,0.6982733333333333,0.6034543137254902,0.7123642424242423],"dir":"ltr"},{"str":"⊗=","boundary":[0.5423529411764706,0.6978083333333334,0.6191437254901961,0.7118992424242424],"dir":"ltr"},{"str":"n","boundary":[0.6350980392156864,0.7053625757575758,0.6426470588235296,0.7170292424242424],"dir":"ltr"},{"str":"0ZQ،","boundary":[0.623529411764706,0.6984248484848484,0.7167850980392158,0.7172375858191289],"dir":"ltr"},{"str":"⊗=","boundary":[0.6472549019607843,0.6979598484848486,0.7173790196078431,0.7120507575757576],"dir":"ltr"},{"str":"Q","boundary":[0.7245098039215686,0.6994146969696969,0.7377994117647059,0.713505606060606],"dir":"ltr"},{"str":"Z","boundary":[0.5184313725490196,0.6994146969696969,0.529573137254902,0.713505606060606],"dir":"ltr"},{"str":"،","boundary":[0.6111764705882353,0.7019345555160985,0.6152164705882354,0.7172375858191289],"dir":"ltr"},{"str":"Z","boundary":[0.7627450980392156,0.7085056060606061,0.774010588235294,0.7225965151515151],"dir":"ltr"},{"str":"n","boundary":[0.53,0.7053625757575758,0.5375490196078432,0.7170292424242424],"dir":"ltr"},{"str":"Z","boundary":[0.5649019607843137,0.7085056060606059,0.576043725490196,0.7225965151515149],"dir":"ltr"},{"str":"Z","boundary":[0.6498039215686275,0.713544393939394,0.659028823529412,0.7252110606060607],"dir":"ltr"},{"str":"Z","boundary":[0.7427450980392157,0.713544393939394,0.752093725490196,0.7252110606060607],"dir":"ltr"},{"str":"Z","boundary":[0.5449019607843137,0.713544393939394,0.5541268627450981,0.7252110606060607],"dir":"ltr"},{"str":"تعری","boundary":[0.8013725490196079,0.7517979847301137,0.8279582352941176,0.767101015033144],"dir":"rtl"},{"str":"-","boundary":[0.7554901960784314,0.7459336363636364,0.7627649019607843,0.7612366666666667],"dir":"ltr"},{"str":"R","boundary":[0.7631372549019608,0.7481831818181819,0.776194705882353,0.7634862121212121],"dir":"ltr"},{"str":":","boundary":[0.781372549019608,0.7459336363636364,0.7854031372549021,0.7612366666666667],"dir":"ltr"},{"str":"م","boundary":[0.7438968627450981,0.7517830403645834,0.7502935294117649,0.7670860706676137],"dir":"rtl"},{"str":"ول","boundary":[0.7172549019607843,0.7517830403645834,0.7345098039215687,0.7670860706676137],"dir":"rtl"},{"str":"p","boundary":[0.7019607843137255,0.7481831818181819,0.7118627450980393,0.7634862121212121],"dir":"ltr"},{"str":"را","boundary":[0.687450980392157,0.7517830403645834,0.6966201960784315,0.7670860706676137],"dir":"rtl"},{"str":"پروژکتیو","boundary":[0.6305882352941178,0.7517830403645834,0.6820996078431374,0.7670860706676137],"dir":"rtl"},{"str":"نامن","boundary":[0.6046811764705884,0.7517830403645834,0.6254531372549021,0.7670860706676137],"dir":"rtl"},{"str":"،","boundary":[0.5911764705882354,0.7517830403645834,0.5952941176470589,0.7670860706676137],"dir":"ltr"},{"str":"هرگاه","boundary":[0.5521568627450981,0.7517830403645834,0.5855100000000002,0.7670860706676137],"dir":"rtl"},{"str":"تابعگون","boundary":[0.5007843137254904,0.7517830403645834,0.5471915686274511,0.7670860706676137],"dir":"rtl"},{"str":"مورد","boundary":[0.46784313725490206,0.7517830403645834,0.49522823529411775,0.7670860706676137],"dir":"rtl"},{"str":"KHom(p,)R","boundary":[0.3692156862745098,0.7453824242424243,0.48228823529411763,0.7668942424242425],"dir":"ltr"},{"str":"دقیق","boundary":[0.33000000000000007,0.7517830403645834,0.36118352941176474,0.7670860706676137],"dir":"rtl"},{"str":"باش","boundary":[0.30644588235294123,0.7517830403645834,0.32484372549019613,0.7670860706676137],"dir":"rtl"},{"str":".","boundary":[0.2937254901960785,0.7459336363636364,0.29741549019607855,0.7612366666666667],"dir":"ltr"},{"str":"یعنی","boundary":[0.25843137254901966,0.7517830403645834,0.288451568627451,0.7670860706676137],"dir":"rtl"},{"str":"براي","boundary":[0.2266666666666667,0.7517830403645834,0.2529972549019608,0.7670860706676137],"dir":"rtl"},{"str":"هر","boundary":[0.20607843137254903,0.7517830403645834,0.22134725490196078,0.7670860706676137],"dir":"rtl"},{"str":"دنبالهي","boundary":[0.15470588235294125,0.7517830403645834,0.2008435294117647,0.7670860706676137],"dir":"rtl"},{"str":"دقیق","boundary":[0.11843137254901968,0.7517830403645834,0.14961490196078436,0.7670860706676137],"dir":"rtl"},{"str":"کوتاه","boundary":[0.7984313725490197,0.787389100970644,0.8280194117647061,0.8026921312736742],"dir":"rtl"},{"str":":","boundary":[0.7950980392156864,0.7815396969696969,0.7983939215686277,0.7968427272727272],"dir":"ltr"},{"str":"φψ→→→→00MNR","boundary":[0.1188235294117647,0.8167590909090909,0.6203921568627452,0.8374615151515151],"dir":"ltr"},{"str":"دنبالهي","boundary":[0.7821568627450981,0.8579951615767046,0.8282945098039216,0.8732981918797349],"dir":"rtl"},{"str":"دقیق","boundary":[0.7460784313725491,0.8579951615767046,0.7772619607843139,0.8732981918797349],"dir":"rtl"},{"str":"زیر","boundary":[0.7229411764705883,0.8579951615767046,0.7408764705882354,0.8732981918797349],"dir":"rtl"},{"str":"را","boundary":[0.7088235294117649,0.8579951615767046,0.7179927450980393,0.8732981918797349],"dir":"rtl"},{"str":"داشته","boundary":[0.6688235294117648,0.8579951615767046,0.7038141176470589,0.8732981918797349],"dir":"rtl"},{"str":"باشیم","boundary":[0.6294117647058824,0.8579951615767046,0.663713137254902,0.8732981918797349],"dir":"rtl"},{"str":".","boundary":[0.6262745098039216,0.8521457575757576,0.6296078431372549,0.8674487878787879],"dir":"ltr"},{"str":"φψ→→→→Hom(P,M)Hom(P,N)Hom(P,K)RRR","boundary":[0.1303921568627451,0.8873659090909092,0.6572549019607843,0.9112716666666667],"dir":"ltr"},{"str":"20","boundary":[0.14,0.9332466666666668,0.15568,0.947489090909091],"dir":"ltr"}],"boundary":[0.11843,0.07261,0.90647,0.94749],"dir":"ltr","type":"paragraph"}]}],"words":[]}
خرید یا کرایه
cancel
19