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</div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Мазмұны" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Мазмұнды көрсету/жасыру" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Мазмұнды көрсету/жасыру</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Математикалық модельдеу</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Басқа тілдегі мақалаға өту. 56 тілде қолжетімді" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-56" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">56 тіл</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D9%85%D9%88%D8%B0%D8%AC_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A" title="نموذج رياضي – араб тілі" lang="ar" hreflang="ar" data-title="نموذج رياضي" data-language-autonym="العربية" data-language-local-name="араб тілі" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Riyazi_modell%C9%99%C5%9Fdirm%C9%99" title="Riyazi modelləşdirmə – әзірбайжан тілі" lang="az" hreflang="az" data-title="Riyazi modelləşdirmə" data-language-autonym="Azərbaycanca" data-language-local-name="әзірбайжан тілі" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB" title="Математически модел – болгар тілі" lang="bg" hreflang="bg" data-title="Математически модел" data-language-autonym="Български" data-language-local-name="болгар тілі" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Model_matem%C3%A0tic" title="Model matemàtic – каталан тілі" lang="ca" hreflang="ca" data-title="Model matemàtic" data-language-autonym="Català" data-language-local-name="каталан тілі" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Matematick%C3%BD_model" title="Matematický model – чех тілі" lang="cs" hreflang="cs" data-title="Matematický model" data-language-autonym="Čeština" data-language-local-name="чех тілі" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%C4%83%D0%BB%D0%BB%C4%83_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C" title="Математикăллă модель – чуваш тілі" lang="cv" hreflang="cv" data-title="Математикăллă модель" data-language-autonym="Чӑвашла" data-language-local-name="чуваш тілі" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Model_(matematik)" title="Model (matematik) – дат тілі" lang="da" hreflang="da" data-title="Model (matematik)" data-language-autonym="Dansk" data-language-local-name="дат тілі" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Mathematisches_Modell" title="Mathematisches Modell – неміс тілі" lang="de" hreflang="de" data-title="Mathematisches Modell" data-language-autonym="Deutsch" data-language-local-name="неміс тілі" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mathematical_model" title="Mathematical model – ағылшын тілі" lang="en" hreflang="en" data-title="Mathematical model" data-language-autonym="English" data-language-local-name="ағылшын тілі" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Matematika_modelo" title="Matematika modelo – эсперанто тілі" lang="eo" hreflang="eo" data-title="Matematika modelo" data-language-autonym="Esperanto" data-language-local-name="эсперанто тілі" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Modelo_matem%C3%A1tico" title="Modelo matemático – испан тілі" lang="es" hreflang="es" data-title="Modelo matemático" data-language-autonym="Español" data-language-local-name="испан тілі" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Matemaatiline_mudel" title="Matemaatiline mudel – эстон тілі" lang="et" hreflang="et" data-title="Matemaatiline mudel" data-language-autonym="Eesti" data-language-local-name="эстон тілі" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Eredu_matematiko" title="Eredu matematiko – баск тілі" lang="eu" hreflang="eu" data-title="Eredu matematiko" data-language-autonym="Euskara" data-language-local-name="баск тілі" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%AF%D9%84_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="مدل ریاضی – парсы тілі" lang="fa" hreflang="fa" data-title="مدل ریاضی" data-language-autonym="فارسی" data-language-local-name="парсы тілі" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Matemaattinen_malli" title="Matemaattinen malli – фин тілі" lang="fi" hreflang="fi" data-title="Matemaattinen malli" data-language-autonym="Suomi" data-language-local-name="фин тілі" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Mod%C3%A8le_math%C3%A9matique" title="Modèle mathématique – француз тілі" lang="fr" hreflang="fr" data-title="Modèle mathématique" data-language-autonym="Français" data-language-local-name="француз тілі" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Samhail_mhatamaitici%C3%BAil" title="Samhail mhatamaiticiúil – ирланд тілі" lang="ga" hreflang="ga" data-title="Samhail mhatamaiticiúil" data-language-autonym="Gaeilge" data-language-local-name="ирланд тілі" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Modelo_matem%C3%A1tico" title="Modelo matemático – галисия тілі" lang="gl" hreflang="gl" data-title="Modelo matemático" data-language-autonym="Galego" data-language-local-name="галисия тілі" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%95%D7%93%D7%9C_%D7%9E%D7%AA%D7%9E%D7%98%D7%99" title="מודל מתמטי – иврит тілі" lang="he" hreflang="he" data-title="מודל מתמטי" data-language-autonym="עברית" data-language-local-name="иврит тілі" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%AE%E0%A5%89%E0%A4%A1%E0%A4%B2" title="गणितीय मॉडल – хинди тілі" lang="hi" hreflang="hi" data-title="गणितीय मॉडल" data-language-autonym="हिन्दी" data-language-local-name="хинди тілі" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Matemati%C4%8Dki_model" title="Matematički model – хорват тілі" lang="hr" hreflang="hr" data-title="Matematički model" data-language-autonym="Hrvatski" data-language-local-name="хорват тілі" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Matematikai_modell" title="Matematikai modell – венгр тілі" lang="hu" hreflang="hu" data-title="Matematikai modell" data-language-autonym="Magyar" data-language-local-name="венгр тілі" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1%D5%AF%D5%A1%D5%B6_%D5%B4%D5%B8%D5%A4%D5%A5%D5%AC" title="Մաթեմատիկական մոդել – армян тілі" lang="hy" hreflang="hy" data-title="Մաթեմատիկական մոդել" data-language-autonym="Հայերեն" data-language-local-name="армян тілі" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Model_matematika" title="Model matematika – индонезия тілі" lang="id" hreflang="id" data-title="Model matematika" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезия тілі" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Matematikala_modelo" title="Matematikala modelo – идо тілі" lang="io" hreflang="io" data-title="Matematikala modelo" data-language-autonym="Ido" data-language-local-name="идо тілі" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Modello_matematico" title="Modello matematico – итальян тілі" lang="it" hreflang="it" data-title="Modello matematico" data-language-autonym="Italiano" data-language-local-name="итальян тілі" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%95%B0%E7%90%86%E3%83%A2%E3%83%87%E3%83%AB" title="数理モデル – жапон тілі" lang="ja" hreflang="ja" data-title="数理モデル" data-language-autonym="日本語" data-language-local-name="жапон тілі" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Matematikal%C4%B1q_modellestiriw" title="Matematikalıq modellestiriw – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Matematikalıq modellestiriw" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%88%98%ED%95%99%EC%A0%81_%EB%AA%A8%EB%8D%B8" title="수학적 모델 – корей тілі" lang="ko" hreflang="ko" data-title="수학적 모델" data-language-autonym="한국어" data-language-local-name="корей тілі" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BB%81%E0%BA%9A%E0%BA%9A%E0%BA%88%E0%BA%B3%E0%BA%A5%E0%BA%AD%E0%BA%87%E0%BA%97%E0%BA%B2%E0%BA%87%E0%BA%84%E0%BA%B0%E0%BA%99%E0%BA%B4%E0%BA%94%E0%BA%AA%E0%BA%B2%E0%BA%94" title="ແບບຈຳລອງທາງຄະນິດສາດ – лаос тілі" lang="lo" hreflang="lo" data-title="ແບບຈຳລອງທາງຄະນິດສາດ" data-language-autonym="ລາວ" data-language-local-name="лаос тілі" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt badge-Q70894304 mw-list-item" title=""><a href="https://lt.wikipedia.org/wiki/Matematinis_modelis" title="Matematinis modelis – литва тілі" lang="lt" hreflang="lt" data-title="Matematinis modelis" data-language-autonym="Lietuvių" data-language-local-name="литва тілі" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA_%D0%B7%D0%B0%D0%B3%D0%B2%D0%B0%D1%80" title="Математик загвар – моңғол тілі" lang="mn" hreflang="mn" data-title="Математик загвар" data-language-autonym="Монгол" data-language-local-name="моңғол тілі" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Model_matematik" title="Model matematik – малай тілі" lang="ms" hreflang="ms" data-title="Model matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="малай тілі" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wiskundig_model" title="Wiskundig model – нидерланд тілі" lang="nl" hreflang="nl" data-title="Wiskundig model" data-language-autonym="Nederlands" data-language-local-name="нидерланд тілі" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Matematisk_modell" title="Matematisk modell – норвегиялық нюнорск тілі" lang="nn" hreflang="nn" data-title="Matematisk modell" data-language-autonym="Norsk nynorsk" data-language-local-name="норвегиялық нюнорск тілі" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Matematisk_modell" title="Matematisk modell – норвегиялық букмол тілі" lang="nb" hreflang="nb" data-title="Matematisk modell" data-language-autonym="Norsk bokmål" data-language-local-name="норвегиялық букмол тілі" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Modelowanie_matematyczne" title="Modelowanie matematyczne – поляк тілі" lang="pl" hreflang="pl" data-title="Modelowanie matematyczne" data-language-autonym="Polski" data-language-local-name="поляк тілі" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Modelo_(matem%C3%A1tica)" title="Modelo (matemática) – португал тілі" lang="pt" hreflang="pt" data-title="Modelo (matemática)" data-language-autonym="Português" data-language-local-name="португал тілі" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Modelare_matematic%C4%83" title="Modelare matematică – румын тілі" lang="ro" hreflang="ro" data-title="Modelare matematică" data-language-autonym="Română" data-language-local-name="румын тілі" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C" title="Математическая модель – орыс тілі" lang="ru" hreflang="ru" data-title="Математическая модель" data-language-autonym="Русский" data-language-local-name="орыс тілі" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Mathematical_model" title="Mathematical model – шотланд тілі" lang="sco" hreflang="sco" data-title="Mathematical model" data-language-autonym="Scots" data-language-local-name="шотланд тілі" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Matemati%C4%8Dki_model" title="Matematički model – серб-хорват тілі" lang="sh" hreflang="sh" data-title="Matematički model" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="серб-хорват тілі" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mathematical_model" title="Mathematical model – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mathematical model" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Matematick%C3%BD_model" title="Matematický model – словак тілі" lang="sk" hreflang="sk" data-title="Matematický model" data-language-autonym="Slovenčina" data-language-local-name="словак тілі" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B8_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB" title="Математички модел – серб тілі" lang="sr" hreflang="sr" data-title="Математички модел" data-language-autonym="Српски / srpski" data-language-local-name="серб тілі" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Matematisk_modell" title="Matematisk modell – швед тілі" lang="sv" hreflang="sv" data-title="Matematisk modell" data-language-autonym="Svenska" data-language-local-name="швед тілі" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4_%E0%AE%AE%E0%AE%BE%E0%AE%A4%E0%AE%BF%E0%AE%B0%E0%AE%BF" title="கணித மாதிரி – тамил тілі" lang="ta" hreflang="ta" data-title="கணித மாதிரி" data-language-autonym="தமிழ்" data-language-local-name="тамил тілі" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B8%88%E0%B8%B3%E0%B8%A5%E0%B8%AD%E0%B8%87%E0%B8%97%E0%B8%B2%E0%B8%87%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C" title="แบบจำลองทางคณิตศาสตร์ – тай тілі" lang="th" hreflang="th" data-title="แบบจำลองทางคณิตศาสตร์" data-language-autonym="ไทย" data-language-local-name="тай тілі" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Modelong_matematikal" title="Modelong matematikal – Tagalog" lang="tl" hreflang="tl" data-title="Modelong matematikal" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Matematiksel_model" title="Matematiksel model – түрік тілі" lang="tr" hreflang="tr" data-title="Matematiksel model" data-language-autonym="Türkçe" data-language-local-name="түрік тілі" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BD%D0%B0_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C" title="Математична модель – украин тілі" lang="uk" hreflang="uk" data-title="Математична модель" data-language-autonym="Українська" data-language-local-name="украин тілі" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA%DB%8C_%D9%86%D9%85%D9%88%D9%86%DB%81" title="ریاضیاتی نمونہ – урду тілі" lang="ur" hreflang="ur" data-title="ریاضیاتی نمونہ" data-language-autonym="اردو" data-language-local-name="урду тілі" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Matematik_model" title="Matematik model – өзбек тілі" lang="uz" hreflang="uz" data-title="Matematik model" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="өзбек тілі" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/M%C3%B4_h%C3%ACnh_to%C3%A1n_h%E1%BB%8Dc" title="Mô hình toán học – вьетнам тілі" lang="vi" hreflang="vi" data-title="Mô hình toán học" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнам тілі" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%95%B0%E5%AD%A6%E6%A8%A1%E5%9E%8B" title="数学模型 – қытай тілі" lang="zh" hreflang="zh" data-title="数学模型" data-language-autonym="中文" data-language-local-name="қытай тілі" 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vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Көрініс</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">бүйірлік тақтаға жылжыту</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">жасыру</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Уикипедия — ашық энциклопедиясынан алынған мәлімет</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="kk" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:FEM_car_crash1.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/FEM_car_crash1.jpg/220px-FEM_car_crash1.jpg" decoding="async" width="220" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/FEM_car_crash1.jpg/330px-FEM_car_crash1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/7/75/FEM_car_crash1.jpg 2x" data-file-width="361" data-file-height="256" /></a><figcaption></figcaption></figure> <p><b>Математикалық модельдеу</b> — кез келген құбылыстарды немесе күрделі физ. процестерді, аппараттарды олардың математикалық модельдерін құру арқылы зерттеу тәсілі; матем. модельді құру процесі. Матем. модель деп қажетті процесті немесе аппаратты сипаттайтын матем. теңдеулер жүйесін айтады. М. м. үшін кез келген матем. мүмкіндіктерді (<a href="/wiki/%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D1%82%D0%B5%D2%A3%D0%B4%D0%B5%D1%83" title="Дифференциалдық теңдеу">дифференциалдық</a> немесе <a href="/wiki/%D0%98%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D1%82%D0%B5%D2%A3%D0%B4%D0%B5%D1%83%D0%BB%D0%B5%D1%80" title="Интегралдық теңдеулер">интегралдық теңдеулерді</a>, <a href="/wiki/%D0%96%D0%B8%D1%8B%D0%BD%D0%B4%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Жиындар теориясы">жиындар теориясын</a>, <a href="/w/index.php?title=%D0%90%D0%B1%D1%81%D1%82%D1%80%D0%B0%D0%BA%D1%82%D1%8B%D0%BB%D1%8B%D2%9B_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Абстрактылық алгебра (мұндай бет жоқ)">абстрактылық алгебраны</a>, <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0" title="Математикалық логика">матем. логиканы</a>, ықтималдықтар теориясын, т.б.) пайдаланады. М. м. негізіне түпнұсқа мен модельдің айнымалы параметрлерінің біртектес немесе ұқсас теңдеулермен сипатталуы алынады. М. м., көбінесе, <a href="/wiki/%D0%9A%D0%BE%D0%BC%D0%BF%D1%8C%D1%8E%D1%82%D0%B5%D1%80" title="Компьютер">компьютерлер</a> арқылы зерттеледі, сондықтан оны кейде <a href="/w/index.php?title=%D0%9A%D0%BE%D0%BC%D0%BF%D1%8C%D1%8E%D1%82%D0%B5%D1%80%D0%BB%D1%96%D0%BA_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C%D0%B4%D0%B5%D1%83&action=edit&redlink=1" class="new" title="Компьютерлік модельдеу (мұндай бет жоқ)">компьютерлік модельдеу</a> деп те атайды. <i>Б. Бөрібаев</i> <sup id="cite_ref-test_1-0" class="reference"><a href="#cite_note-test-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Дереккөздер"><span id=".D0.94.D0.B5.D1.80.D0.B5.D0.BA.D0.BA.D3.A9.D0.B7.D0.B4.D0.B5.D1.80"></span>Дереккөздер</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C%D0%B4%D0%B5%D1%83&veaction=edit&section=1" title="Бөлімді өңдеу: Дереккөздер" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C%D0%B4%D0%B5%D1%83&action=edit&section=1" title="Edit section's source code: Дереккөздер"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-test-1"><span class="mw-cite-backlink"><a href="#cite_ref-test_1-0">↑</a></span> <span class="reference-text">Қазақ Энциклопедиясы</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Сілтемелер"><span id=".D0.A1.D1.96.D0.BB.D1.82.D0.B5.D0.BC.D0.B5.D0.BB.D0.B5.D1.80"></span>Сілтемелер</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C%D0%B4%D0%B5%D1%83&veaction=edit&section=2" title="Бөлімді өңдеу: Сілтемелер" class="mw-editsection-visualeditor"><span>өңдеу</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C%D0%B4%D0%B5%D1%83&action=edit&section=2" title="Edit section's source code: Сілтемелер"><span>қайнарын өңдеу</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.allmathcad.com">Всё о Mathcad</a> <small><a rel="nofollow" class="external text" href="https://web.archive.org/web/20191020202401/http://allmathcad.com/">Мұрағатталған</a> 20 қазанның 2019 жылы.</small>  <span class="ref-info" title="орыс тілінде" style="font-size:85%; cursor:help; color:#888;">(орыс.)</span></li></ul> <p><br /> </p> <table style="background:none; color:inherit; text-align:left; padding: 2px 0" class="metadata"> <tbody><tr> <td style="padding-right:4px"><span typeof="mw:File"><a href="/wiki/%D0%A1%D1%83%D1%80%D0%B5%D1%82:E-to-the-i-pi.svg" class="mw-file-description" title="Формула"><img alt="Формула" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/40px-E-to-the-i-pi.svg.png" decoding="async" width="40" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/60px-E-to-the-i-pi.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/80px-E-to-the-i-pi.svg.png 2x" data-file-width="512" data-file-height="453" /></a></span> </td> <td><i><span style="white-space:nowrap">Бұл — <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика">математика</a> бойынша мақаланың <a href="/wiki/%D0%A3%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9C%D0%B0%D2%9B%D0%B0%D0%BB%D0%B0%D2%93%D0%B0_%D0%B1%D0%B0%D1%81%D1%82%D0%B0%D0%BC%D0%B0" title="Уикипедия:Мақалаға бастама">бастамасы</a>.</span> <span style="white-space:nowrap"><br />Бұл мақаланы <span class="plainlinks"><a class="external text" href="https://kk.wikipedia.org/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D1%8C%D0%B4%D0%B5%D1%83&action=edit">толықтырып, дамыту</a></span> арқылы, Уикипедияға <a href="/wiki/%D0%A3%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9C%D0%B0%D2%9B%D0%B0%D0%BB%D0%B0%D0%BD%D1%8B_%D2%9B%D0%B0%D0%BB%D0%B0%D0%B9_%D3%A9%D2%A3%D0%B4%D0%B5%D1%83_%D0%BA%D0%B5%D1%80%D0%B5%D0%BA" title="Уикипедия:Мақаланы қалай өңдеу керек">көмектесе</a> аласыз.</span></i> </td></tr></tbody></table> <table class="navbox" style="border-spacing:0"><tbody><tr><td style="padding:2px"><table class="nowraplinks collapsible collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><span style="float:left;text-align:left;width:5em;margin-right:0.5em"><span typeof="mw:File"><a href="/wiki/%D2%AE%D0%BB%D0%B3%D1%96:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Бұл үлгіні қарау"><img alt="Бұл үлгіні қарау" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Magnifying_glass_icon.svg/14px-Magnifying_glass_icon.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/55/Magnifying_glass_icon.svg/21px-Magnifying_glass_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/55/Magnifying_glass_icon.svg/28px-Magnifying_glass_icon.svg.png 2x" data-file-width="490" data-file-height="490" /></a></span> <span typeof="mw:File"><a href="/wiki/%D2%AE%D0%BB%D0%B3%D1%96_%D1%82%D0%B0%D0%BB%D2%9B%D1%8B%D0%BB%D0%B0%D1%83%D1%8B:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Бұл үлгіні талқылау"><img alt="Бұл үлгіні талқылау" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/14px-Comment_alt_font_awesome.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/21px-Comment_alt_font_awesome.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/29/Comment_alt_font_awesome.svg/28px-Comment_alt_font_awesome.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span> <span typeof="mw:File"><a href="//kk.wikipedia.org/w/index.php?title=%D2%AE%D0%BB%D0%B3%D1%96:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0&action=edit" title="Бұл үлгіні өңдеу"><img alt="Бұл үлгіні өңдеу" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/16px-Template_alt_full_black_22.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/24px-Template_alt_full_black_22.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Template_alt_full_black_22.svg/32px-Template_alt_full_black_22.svg.png 2x" data-file-width="160" data-file-height="160" /></a></span></span><div style="font-size:114%"><a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика">Математика</a></div></th></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group">Негіздері</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%A1%D0%B0%D0%BD%D0%B4%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Сандар теориясы">Сандар теориясы</a> (<a href="/wiki/%D0%90%D1%80%D0%B8%D1%84%D0%BC%D0%B5%D1%82%D0%B8%D0%BA%D0%B0" title="Арифметика">Арифметика</a>)<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0" title="Математикалық логика">Математикалық логика</a> (<a href="/wiki/%D0%91%D1%83%D0%BB%D1%8C_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D1%81%D1%8B" title="Буль алгебрасы">Буль алгебрасы</a>)<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%90%D2%9B%D0%BF%D0%B0%D1%80%D0%B0%D1%82_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Ақпарат теориясы">Ақпарат теориясы</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%96%D0%B8%D1%8B%D0%BD%D0%B4%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Жиындар теориясы">Жиындар теориясы</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%A2%D0%B8%D0%BF%D1%82%D0%B5%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Типтер теориясы">Типтер теориясы</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group"><a href="/wiki/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Алгебра">Алгебра</a> және <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D1%82%D0%B0%D0%BB%D0%B4%D0%B0%D1%83" title="Математикалық талдау">талдау</a></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/w/index.php?title=%D0%91%D0%B0%D1%81%D1%82%D0%B0%D0%BF%D2%9B%D1%8B_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Бастапқы алгебра (мұндай бет жоқ)">Бастапқы алгебра</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%A1%D1%8B%D0%B7%D1%8B%D2%9B%D1%82%D1%8B%D2%9B_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Сызықтық алгебра">Сызықтық алгебра</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%D0%90%D0%B1%D1%81%D1%82%D1%80%D0%B0%D0%BA%D1%82%D1%8B%D0%BB%D1%8B%D2%9B_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0&action=edit&redlink=1" class="new" title="Абстрактылық алгебра (мұндай бет жоқ)">Абстрактылық алгебра</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%98%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D0%B5%D1%81%D0%B5%D0%BF%D1%82%D0%B5%D1%83" title="Интегралдық есептеу">Интегралдық есептеу</a> (<a href="/wiki/%D0%98%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D1%82%D0%B5%D2%A3%D0%B4%D0%B5%D1%83%D0%BB%D0%B5%D1%80" title="Интегралдық теңдеулер">Интегралдық теңдеулер</a>)<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D0%B5%D1%81%D0%B5%D0%BF%D1%82%D0%B5%D1%83" title="Дифференциалдық есептеу">Дифференциалдық есептеу</a> (<a href="/wiki/%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D1%82%D0%B5%D2%A3%D0%B4%D0%B5%D1%83" title="Дифференциалдық теңдеу">Дифференциалдық теңдеулер</a>)<span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D1%82%D0%B0%D0%BB%D0%B4%D0%B0%D1%83" title="Функционалдық талдау">Функционалдық талдау</a> (<a href="/wiki/%D0%92%D0%B0%D1%80%D0%B8%D0%B0%D1%86%D0%B8%D1%8F%D0%BB%D1%8B%D2%9B_%D0%B5%D1%81%D0%B5%D0%BF%D1%82%D0%B5%D1%83" title="Вариациялық есептеу">Вариациялық есептеу</a>)</div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group"><a href="/wiki/%D0%93%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Геометрия">Геометрия</a> және топология</th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D0%BB%D1%8B%D2%9B_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Алгебралық геометрия">Алгебралық</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Аналитикалық геометрия">Аналитикалық</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%B4%D1%8B%D2%9B_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Дифференциалдық геометрия">Дифференциалдық</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%D0%94%D0%B8%D1%81%D0%BA%D1%80%D0%B5%D1%82%D1%82%D1%96%D0%BA_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F&action=edit&redlink=1" class="new" title="Дискреттік геометрия (мұндай бет жоқ)">Дискреттік</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D1%82%D1%96%D0%BA_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидтік геометрия">Евклидтік геометрия</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%9F%D0%BB%D0%B0%D0%BD%D0%B8%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Планиметрия">Планиметрия</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%A1%D1%82%D0%B5%D1%80%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Стереометрия">Стереометрия</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%A2%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F" title="Топология">Топология</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group"><a href="/wiki/%D0%94%D0%B8%D1%81%D0%BA%D1%80%D0%B5%D1%82%D1%82%D1%96%D0%BA_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Дискреттік математика">Дискреттік математика</a></th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%9A%D0%BE%D0%BC%D0%B1%D0%B8%D0%BD%D0%B0%D1%82%D0%BE%D1%80%D0%B8%D0%BA%D0%B0" title="Комбинаторика">Комбинаторика</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%93%D1%80%D0%B0%D1%84%D1%82%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Графтар теориясы">Графтар теориясы</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/w/index.php?title=%D0%A0%D0%B5%D1%82%D1%82%D0%B5%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B&action=edit&redlink=1" class="new" title="Реттер теориясы (мұндай бет жоқ)">Реттер теориясы</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%9E%D0%B9%D1%8B%D0%BD%D0%B4%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Ойындар теориясы">Ойындар теориясы</a></div></td></tr><tr style="height:2px"><td colspan="2"></td></tr><tr><th scope="row" class="navbox-group"><a href="/wiki/%D2%9A%D0%BE%D0%BB%D0%B4%D0%B0%D0%BD%D0%B1%D0%B0%D0%BB%D1%8B_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Қолданбалы математика">Қолданбалы математика</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математикалық физика">Математикалық физика</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a class="mw-selflink selflink">Математикалық модельдеу</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D1%8D%D0%BA%D0%BE%D0%BD%D0%BE%D0%BC%D0%B8%D0%BA%D0%B0" title="Математикалық экономика">Математикалық экономика</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0" title="Математикалық статистика">Математикалық статистика</a><span style="white-space:nowrap; font-weight:bold;"> ·</span> <a 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