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vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Comensa</div> </a> </li> <li id="toc-Etimolojia" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Etimolojia"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Etimolojia</span> </div> </a> <ul id="toc-Etimolojia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Defini" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Defini"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Defini</span> </div> </a> <ul id="toc-Defini-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Matematica_como_siensa" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Matematica_como_siensa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Matematica como siensa</span> </div> </a> <ul id="toc-Matematica_como_siensa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Istoria" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Istoria"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Istoria</span> </div> </a> <ul id="toc-Istoria-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Inspira,_matematica_pur_e_aplicada_e_estetica" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Inspira,_matematica_pur_e_aplicada_e_estetica"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Inspira, matematica pur e aplicada e estetica</span> </div> </a> <ul id="toc-Inspira,_matematica_pur_e_aplicada_e_estetica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Simboli,_lingua_e_rigor" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Simboli,_lingua_e_rigor"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Simboli, lingua e rigor</span> </div> </a> <ul id="toc-Simboli,_lingua_e_rigor-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Temas_xef" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Temas_xef"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Temas xef</span> </div> </a> <button aria-controls="toc-Temas_xef-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Temas xef subsection</span> </button> <ul id="toc-Temas_xef-sublist" class="vector-toc-list"> <li id="toc-Aritmetica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Aritmetica"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.1</span> <span>Aritmetica</span> </div> </a> <ul id="toc-Aritmetica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Aljebra" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Aljebra"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.2</span> <span>Aljebra</span> </div> </a> <ul id="toc-Aljebra-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Jeometria" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Jeometria"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.3</span> <span>Jeometria</span> </div> </a> <ul id="toc-Jeometria-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Analise" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Analise"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.4</span> <span>Analise</span> </div> </a> <ul id="toc-Analise-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Campos_de_matematica" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Campos_de_matematica"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Campos de matematica</span> </div> </a> <button aria-controls="toc-Campos_de_matematica-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Campos de matematica subsection</span> </button> <ul id="toc-Campos_de_matematica-sublist" class="vector-toc-list"> <li id="toc-Fundi_e_filosofia" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fundi_e_filosofia"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Fundi e filosofia</span> </div> </a> <ul id="toc-Fundi_e_filosofia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Matematica_pur" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Matematica_pur"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Matematica pur</span> </div> </a> <ul id="toc-Matematica_pur-sublist" class="vector-toc-list"> <li id="toc-Cuantia" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Cuantia"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2.1</span> <span>Cuantia</span> </div> </a> <ul id="toc-Cuantia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Strutur" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Strutur"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2.2</span> <span>Strutur</span> </div> </a> <ul id="toc-Strutur-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Spasio" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Spasio"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2.3</span> <span>Spasio</span> </div> </a> <ul id="toc-Spasio-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Cambia" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Cambia"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2.4</span> <span>Cambia</span> </div> </a> <ul id="toc-Cambia-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Matematica_aplicada" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Matematica_aplicada"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3</span> <span>Matematica aplicada</span> </div> </a> <ul id="toc-Matematica_aplicada-sublist" class="vector-toc-list"> <li id="toc-Statistica_e_otra_siensas_de_deside" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Statistica_e_otra_siensas_de_deside"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3.1</span> <span>Statistica e otra siensas de deside</span> </div> </a> <ul id="toc-Statistica_e_otra_siensas_de_deside-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Ensenia" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Ensenia"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Ensenia</span> </div> </a> <ul id="toc-Ensenia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pratica" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Pratica"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Pratica</span> </div> </a> <button aria-controls="toc-Pratica-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Pratica subsection</span> </button> <ul id="toc-Pratica-sublist" class="vector-toc-list"> <li id="toc-Ativia_de_rexerca" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ativia_de_rexerca"> <div class="vector-toc-text"> <span class="vector-toc-numb">10.1</span> <span>Ativia de rexerca</span> </div> </a> <ul id="toc-Ativia_de_rexerca-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Relata_con_otra_siensas" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Relata_con_otra_siensas"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Relata con otra siensas</span> </div> </a> <button aria-controls="toc-Relata_con_otra_siensas-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Relata con otra siensas subsection</span> </button> <ul id="toc-Relata_con_otra_siensas-sublist" class="vector-toc-list"> <li id="toc-Fisica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fisica"> <div class="vector-toc-text"> <span class="vector-toc-numb">11.1</span> <span>Fisica</span> </div> </a> <ul id="toc-Fisica-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Vide_ance" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Vide_ance"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Vide ance</span> </div> </a> <ul id="toc-Vide_ance-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referes" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Referes"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>Referes</span> </div> </a> <ul id="toc-Referes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Lias_esterna" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Lias_esterna"> <div class="vector-toc-text"> <span class="vector-toc-numb">14</span> <span>Lias esterna</span> </div> </a> <ul id="toc-Lias_esterna-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </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="Contents" 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="Toggle the table of contents" > <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">Toggle the table of contents</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">Matematica</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="Go to an article in another language. Available in 254 languages" > <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-254" 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">254 linguas</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Wiskunde" title="Wiskunde – Afrikaans" lang="af" hreflang="af" data-title="Wiskunde" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Mathematik" title="Mathematik – Alemannic" lang="gsw" hreflang="gsw" data-title="Mathematik" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%B5%E1%88%9D%E1%88%85%E1%88%AD%E1%89%B0_%E1%88%82%E1%88%B3%E1%89%A5" title="ትምህርተ ሂሳብ – Amharic" lang="am" hreflang="am" data-title="ትምህርተ ሂሳብ" data-language-autonym="አማርኛ" data-language-local-name="Amharic" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Matematicas" title="Matematicas – Aragonese" lang="an" hreflang="an" data-title="Matematicas" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/R%C4%ABmcr%C3%A6ft" title="Rīmcræft – Old English" lang="ang" hreflang="ang" data-title="Rīmcræft" data-language-autonym="Ænglisc" data-language-local-name="Old English" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Angika" lang="anp" hreflang="anp" data-title="गणित" data-language-autonym="अंगिका" data-language-local-name="Angika" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://ar.wikipedia.org/wiki/%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA" title="رياضيات – Arabic" lang="ar" hreflang="ar" data-title="رياضيات" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%84%D9%85%D8%A7%D8%B7" title="لماط – Moroccan Arabic" lang="ary" hreflang="ary" data-title="لماط" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA" title="رياضيات – Egyptian Arabic" lang="arz" hreflang="arz" data-title="رياضيات" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গণিত – Assamese" lang="as" hreflang="as" data-title="গণিত" data-language-autonym="অসমীয়া" data-language-local-name="Assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Matem%C3%A1tiques" title="Matemátiques – Asturian" lang="ast" hreflang="ast" data-title="Matemátiques" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-avk mw-list-item"><a href="https://avk.wikipedia.org/wiki/Solokseropa" title="Solokseropa – Kotava" lang="avk" hreflang="avk" data-title="Solokseropa" data-language-autonym="Kotava" data-language-local-name="Kotava" class="interlanguage-link-target"><span>Kotava</span></a></li><li class="interlanguage-link interwiki-awa mw-list-item"><a href="https://awa.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Awadhi" lang="awa" hreflang="awa" data-title="गणित" data-language-autonym="अवधी" data-language-local-name="Awadhi" class="interlanguage-link-target"><span>अवधी</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Jakhu" title="Jakhu – Aymara" lang="ay" hreflang="ay" data-title="Jakhu" data-language-autonym="Aymar aru" data-language-local-name="Aymara" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Riyaziyyat" title="Riyaziyyat – Azerbaijani" lang="az" hreflang="az" data-title="Riyaziyyat" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA" title="ریاضیات – South Azerbaijani" lang="azb" hreflang="azb" data-title="ریاضیات" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Bashkir" lang="ba" hreflang="ba" data-title="Математика" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Mathematik" title="Mathematik – Bavarian" lang="bar" hreflang="bar" data-title="Mathematik" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Matemat%C4%97ka" title="Matematėka – Samogitian" lang="sgs" hreflang="sgs" data-title="Matematėka" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Matematika" title="Matematika – Central Bikol" lang="bcl" hreflang="bcl" data-title="Matematika" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0" title="Матэматыка – Belarusian" lang="be" hreflang="be" data-title="Матэматыка" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0" title="Матэматыка – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Матэматыка" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</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%D0%BA%D0%B0" title="Математика – Bulgarian" lang="bg" hreflang="bg" data-title="Математика" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Bhojpuri" lang="bh" hreflang="bh" data-title="गणित" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Matematikis" title="Matematikis – Bislama" lang="bi" hreflang="bi" data-title="Matematikis" data-language-autonym="Bislama" data-language-local-name="Bislama" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Matamatika" title="Matamatika – Banjar" lang="bjn" hreflang="bjn" data-title="Matamatika" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-blk mw-list-item"><a href="https://blk.wikipedia.org/wiki/%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သင်္ချာ – Pa'O" lang="blk" hreflang="blk" data-title="သင်္ချာ" data-language-autonym="ပအိုဝ်ႏဘာႏသာႏ" data-language-local-name="Pa'O" class="interlanguage-link-target"><span>ပအိုဝ်ႏဘာႏသာႏ</span></a></li><li class="interlanguage-link interwiki-bm mw-list-item"><a href="https://bm.wikipedia.org/wiki/Matematiki" title="Matematiki – Bambara" lang="bm" hreflang="bm" data-title="Matematiki" data-language-autonym="Bamanankan" data-language-local-name="Bambara" class="interlanguage-link-target"><span>Bamanankan</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গণিত – Bangla" lang="bn" hreflang="bn" data-title="গণিত" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A2%E0%BE%A9%E0%BD%B2%E0%BD%A6%E0%BC%8B%E0%BD%A2%E0%BD%B2%E0%BD%82" title="རྩིས་རིག – Tibetan" lang="bo" hreflang="bo" data-title="རྩིས་རིག" data-language-autonym="བོད་ཡིག" data-language-local-name="Tibetan" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bpy mw-list-item"><a href="https://bpy.wikipedia.org/wiki/%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গণিত – Bishnupriya" lang="bpy" hreflang="bpy" data-title="গণিত" data-language-autonym="বিষ্ণুপ্রিয়া মণিপুরী" data-language-local-name="Bishnupriya" class="interlanguage-link-target"><span>বিষ্ণুপ্রিয়া মণিপুরী</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Matematik" title="Matematik – Breton" lang="br" hreflang="br" data-title="Matematik" data-language-autonym="Brezhoneg" data-language-local-name="Breton" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Matematika" title="Matematika – Bosnian" lang="bs" hreflang="bs" data-title="Matematika" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bug mw-list-item"><a href="https://bug.wikipedia.org/wiki/%E1%A8%86%E1%A8%88%E1%A8%9B%E1%A8%86%E1%A8%88%E1%A8%97%E1%A8%80" title="ᨆᨈᨛᨆᨈᨗᨀ – Buginese" lang="bug" hreflang="bug" data-title="ᨆᨈᨛᨆᨈᨗᨀ" data-language-autonym="Basa Ugi" data-language-local-name="Buginese" class="interlanguage-link-target"><span>Basa Ugi</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BE%D0%B3%D0%BE%D0%B9_%D1%83%D1%85%D0%B0%D0%B0%D0%BD" title="Тоогой ухаан – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Тоогой ухаан" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Matem%C3%A0tiques" title="Matemàtiques – Catalan" lang="ca" hreflang="ca" data-title="Matemàtiques" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Matematica" title="Matematica – Chavacano" lang="cbk" hreflang="cbk" data-title="Matematica" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/S%C3%B3-h%C5%8Fk" title="Só-hŏk – Mindong" lang="cdo" hreflang="cdo" data-title="Só-hŏk" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Chechen" lang="ce" hreflang="ce" data-title="Математика" data-language-autonym="Нохчийн" data-language-local-name="Chechen" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Isip" title="Isip – Cebuano" lang="ceb" hreflang="ceb" data-title="Isip" data-language-autonym="Cebuano" data-language-local-name="Cebuano" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ch mw-list-item"><a href="https://ch.wikipedia.org/wiki/Matematika" title="Matematika – Chamorro" lang="ch" hreflang="ch" data-title="Matematika" data-language-autonym="Chamoru" data-language-local-name="Chamorro" class="interlanguage-link-target"><span>Chamoru</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9" title="ماتماتیک – Central Kurdish" lang="ckb" hreflang="ckb" data-title="ماتماتیک" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Matematica" title="Matematica – Corsican" lang="co" hreflang="co" data-title="Matematica" data-language-autonym="Corsu" data-language-local-name="Corsican" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Riyaziyat" title="Riyaziyat – Crimean Tatar" lang="crh" hreflang="crh" data-title="Riyaziyat" data-language-autonym="Qırımtatarca" data-language-local-name="Crimean Tatar" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Matematika" title="Matematika – Czech" lang="cs" hreflang="cs" data-title="Matematika" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-csb mw-list-item"><a href="https://csb.wikipedia.org/wiki/Matematika" title="Matematika – Kashubian" lang="csb" hreflang="csb" data-title="Matematika" data-language-autonym="Kaszëbsczi" data-language-local-name="Kashubian" class="interlanguage-link-target"><span>Kaszëbsczi</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%9C%D0%B0%D1%B3%D0%B8%D0%BC%D0%B0%D1%82%D1%97%D0%BA%D0%B0" title="Маѳиматїка – Church Slavic" lang="cu" hreflang="cu" data-title="Маѳиматїка" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="Church Slavic" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</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%D0%B0" title="Математика – Chuvash" lang="cv" hreflang="cv" data-title="Математика" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Mathemateg" title="Mathemateg – Welsh" lang="cy" hreflang="cy" data-title="Mathemateg" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da badge-Q17559452 badge-recommendedarticle mw-list-item" title="recommended article"><a href="https://da.wikipedia.org/wiki/Matematik" title="Matematik – Danish" lang="da" hreflang="da" data-title="Matematik" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-dag mw-list-item"><a href="https://dag.wikipedia.org/wiki/Laasabu_malibu" title="Laasabu malibu – Dagbani" lang="dag" hreflang="dag" data-title="Laasabu malibu" data-language-autonym="Dagbanli" data-language-local-name="Dagbani" class="interlanguage-link-target"><span>Dagbanli</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://de.wikipedia.org/wiki/Mathematik" title="Mathematik – German" lang="de" hreflang="de" data-title="Mathematik" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-din mw-list-item"><a href="https://din.wikipedia.org/wiki/Aku%C3%ABnk%C3%A4%C5%8B" title="Akuënkäŋ – Dinka" lang="din" hreflang="din" data-title="Akuënkäŋ" data-language-autonym="Thuɔŋjäŋ" data-language-local-name="Dinka" class="interlanguage-link-target"><span>Thuɔŋjäŋ</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Matematik" title="Matematik – Zazaki" lang="diq" hreflang="diq" data-title="Matematik" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Matematika" title="Matematika – Lower Sorbian" lang="dsb" hreflang="dsb" data-title="Matematika" data-language-autonym="Dolnoserbski" data-language-local-name="Lower Sorbian" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-dtp mw-list-item"><a href="https://dtp.wikipedia.org/wiki/Matematik" title="Matematik – Central Dusun" lang="dtp" hreflang="dtp" data-title="Matematik" data-language-autonym="Kadazandusun" data-language-local-name="Central Dusun" class="interlanguage-link-target"><span>Kadazandusun</span></a></li><li class="interlanguage-link interwiki-dv mw-list-item"><a href="https://dv.wikipedia.org/wiki/%DE%83%DE%A8%DE%94%DE%A7%DE%9F%DE%A8%DE%87%DE%B0%DE%94%DE%A7%DE%8C%DE%AA" title="ރިޔާޟިއްޔާތު – Divehi" lang="dv" hreflang="dv" data-title="ރިޔާޟިއްޔާތު" data-language-autonym="ދިވެހިބަސް" data-language-local-name="Divehi" class="interlanguage-link-target"><span>ދިވެހިބަސް</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AC" title="Μαθηματικά – Greek" lang="el" hreflang="el" data-title="Μαθηματικά" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Matem%C3%A2tica" title="Matemâtica – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Matemâtica" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mathematics" title="Mathematics – English" lang="en" hreflang="en" data-title="Mathematics" data-language-autonym="English" data-language-local-name="English" 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/Matematiko" title="Matematiko – Esperanto" lang="eo" hreflang="eo" data-title="Matematiko" data-language-autonym="Esperanto" data-language-local-name="Esperanto" 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/Matem%C3%A1ticas" title="Matemáticas – Spanish" lang="es" hreflang="es" data-title="Matemáticas" data-language-autonym="Español" data-language-local-name="Spanish" 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/Matemaatika" title="Matemaatika – Estonian" lang="et" hreflang="et" data-title="Matemaatika" data-language-autonym="Eesti" data-language-local-name="Estonian" 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/Matematika" title="Matematika – Basque" lang="eu" hreflang="eu" data-title="Matematika" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Matem%C3%A1ticas" title="Matemáticas – Extremaduran" lang="ext" hreflang="ext" data-title="Matemáticas" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA" title="ریاضیات – Persian" lang="fa" hreflang="fa" data-title="ریاضیات" data-language-autonym="فارسی" data-language-local-name="Persian" 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/Matematiikka" title="Matematiikka – Finnish" lang="fi" hreflang="fi" data-title="Matematiikka" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Mat%C3%B5maatiga" title="Matõmaatiga – Võro" lang="vro" hreflang="vro" data-title="Matõmaatiga" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Fika" title="Fika – Fijian" lang="fj" hreflang="fj" data-title="Fika" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="Fijian" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/St%C3%B8ddfr%C3%B8%C3%B0i" title="Støddfrøði – Faroese" lang="fo" hreflang="fo" data-title="Støddfrøði" data-language-autonym="Føroyskt" data-language-local-name="Faroese" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Math%C3%A9matiques" title="Mathématiques – French" lang="fr" hreflang="fr" data-title="Mathématiques" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frp mw-list-item"><a href="https://frp.wikipedia.org/wiki/Mat%C3%A8matiques" title="Matèmatiques – Arpitan" lang="frp" hreflang="frp" data-title="Matèmatiques" data-language-autonym="Arpetan" data-language-local-name="Arpitan" class="interlanguage-link-target"><span>Arpetan</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Matematiik" title="Matematiik – Northern Frisian" lang="frr" hreflang="frr" data-title="Matematiik" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Matematiche" title="Matematiche – Friulian" lang="fur" hreflang="fur" data-title="Matematiche" data-language-autonym="Furlan" data-language-local-name="Friulian" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Wiskunde" title="Wiskunde – Western Frisian" lang="fy" hreflang="fy" data-title="Wiskunde" data-language-autonym="Frysk" data-language-local-name="Western Frisian" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Matamaitic" title="Matamaitic – Irish" lang="ga" hreflang="ga" data-title="Matamaitic" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%95%B8%E5%AD%B8" title="數學 – Gan" lang="gan" hreflang="gan" data-title="數學" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Mat%C3%A9matik" title="Matématik – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Matématik" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Matamataig" title="Matamataig – Scottish Gaelic" lang="gd" hreflang="gd" data-title="Matamataig" data-language-autonym="Gàidhlig" data-language-local-name="Scottish Gaelic" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Matem%C3%A1ticas" title="Matemáticas – Galician" lang="gl" hreflang="gl" data-title="Matemáticas" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Papapykuaa" title="Papapykuaa – Guarani" lang="gn" hreflang="gn" data-title="Papapykuaa" data-language-autonym="Avañe'ẽ" data-language-local-name="Guarani" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gom mw-list-item"><a href="https://gom.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4%E0%B3%8D" title="ಗಣಿತ್ – Goan Konkani" lang="gom" hreflang="gom" data-title="ಗಣಿತ್" data-language-autonym="गोंयची कोंकणी / Gõychi Konknni" data-language-local-name="Goan Konkani" class="interlanguage-link-target"><span>गोंयची कोंकणी / Gõychi Konknni</span></a></li><li class="interlanguage-link interwiki-gor mw-list-item"><a href="https://gor.wikipedia.org/wiki/Matematika" title="Matematika – Gorontalo" lang="gor" hreflang="gor" data-title="Matematika" data-language-autonym="Bahasa Hulontalo" data-language-local-name="Gorontalo" class="interlanguage-link-target"><span>Bahasa Hulontalo</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%97%E0%AA%A3%E0%AA%BF%E0%AA%A4" title="ગણિત – Gujarati" lang="gu" hreflang="gu" data-title="ગણિત" data-language-autonym="ગુજરાતી" data-language-local-name="Gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Maddaght" title="Maddaght – Manx" lang="gv" hreflang="gv" data-title="Maddaght" data-language-autonym="Gaelg" data-language-local-name="Manx" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Lissafi" title="Lissafi – Hausa" lang="ha" hreflang="ha" data-title="Lissafi" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Su-ho%CC%8Dk" title="Su-ho̍k – Hakka Chinese" lang="hak" hreflang="hak" data-title="Su-ho̍k" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/Makemakika" title="Makemakika – Hawaiian" lang="haw" hreflang="haw" data-title="Makemakika" data-language-autonym="Hawaiʻi" data-language-local-name="Hawaiian" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94" title="מתמטיקה – Hebrew" lang="he" hreflang="he" data-title="מתמטיקה" data-language-autonym="עברית" data-language-local-name="Hebrew" 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" title="गणित – Hindi" lang="hi" hreflang="hi" data-title="गणित" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Mathematics" title="Mathematics – Fiji Hindi" lang="hif" hreflang="hif" data-title="Mathematics" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Matematika" title="Matematika – Croatian" lang="hr" hreflang="hr" data-title="Matematika" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Matematik" title="Matematik – Haitian Creole" lang="ht" hreflang="ht" data-title="Matematik" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Matematika" title="Matematika – Hungarian" lang="hu" hreflang="hu" data-title="Matematika" data-language-autonym="Magyar" data-language-local-name="Hungarian" 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" title="Մաթեմատիկա – Armenian" lang="hy" hreflang="hy" data-title="Մաթեմատիկա" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://ia.wikipedia.org/wiki/Mathematica" title="Mathematica – Interlingua" lang="ia" hreflang="ia" data-title="Mathematica" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Matematik" title="Matematik – Iban" lang="iba" hreflang="iba" data-title="Matematik" data-language-autonym="Jaku Iban" data-language-local-name="Iban" class="interlanguage-link-target"><span>Jaku Iban</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Matematika" title="Matematika – Indonesian" lang="id" hreflang="id" data-title="Matematika" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ie mw-list-item"><a href="https://ie.wikipedia.org/wiki/Matematica" title="Matematica – Interlingue" lang="ie" hreflang="ie" data-title="Matematica" data-language-autonym="Interlingue" data-language-local-name="Interlingue" class="interlanguage-link-target"><span>Interlingue</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/%E1%BB%8Cm%C3%BAm%C3%BA-%C3%B3n%C3%BA%E1%BB%8Dg%E1%BB%A5g%E1%BB%A5" title="Ọmúmú-ónúọgụgụ – Igbo" lang="ig" hreflang="ig" data-title="Ọmúmú-ónúọgụgụ" data-language-autonym="Igbo" data-language-local-name="Igbo" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Matematika" title="Matematika – Iloko" lang="ilo" hreflang="ilo" data-title="Matematika" data-language-autonym="Ilokano" data-language-local-name="Iloko" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Ingush" lang="inh" hreflang="inh" data-title="Математика" data-language-autonym="ГӀалгӀай" data-language-local-name="Ingush" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Matematiko" title="Matematiko – Ido" lang="io" hreflang="io" data-title="Matematiko" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/St%C3%A6r%C3%B0fr%C3%A6%C3%B0i" title="Stærðfræði – Icelandic" lang="is" hreflang="is" data-title="Stærðfræði" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Matematica" title="Matematica – Italian" lang="it" hreflang="it" data-title="Matematica" data-language-autonym="Italiano" data-language-local-name="Italian" 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%E5%AD%A6" title="数学 – Japanese" lang="ja" hreflang="ja" data-title="数学" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Matimatix" title="Matimatix – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Matimatix" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/cmaci" title="cmaci – Lojban" lang="jbo" hreflang="jbo" data-title="cmaci" data-language-autonym="La .lojban." data-language-local-name="Lojban" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-jv badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://jv.wikipedia.org/wiki/Mat%C3%A9matika" title="Matématika – Javanese" lang="jv" hreflang="jv" data-title="Matématika" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90" title="მათემატიკა – Georgian" lang="ka" hreflang="ka" data-title="მათემატიკა" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Matematika" title="Matematika – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Matematika" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Tusnakt" title="Tusnakt – Kabyle" lang="kab" hreflang="kab" data-title="Tusnakt" data-language-autonym="Taqbaylit" data-language-local-name="Kabyle" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kge mw-list-item"><a href="https://kge.wikipedia.org/wiki/Matematika" title="Matematika – Komering" lang="kge" hreflang="kge" data-title="Matematika" data-language-autonym="Kumoring" data-language-local-name="Komering" class="interlanguage-link-target"><span>Kumoring</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Kazakh" lang="kk" hreflang="kk" data-title="Математика" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kl mw-list-item"><a href="https://kl.wikipedia.org/wiki/Matematikki" title="Matematikki – Kalaallisut" lang="kl" hreflang="kl" data-title="Matematikki" data-language-autonym="Kalaallisut" data-language-local-name="Kalaallisut" class="interlanguage-link-target"><span>Kalaallisut</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%82%E1%9E%8E%E1%9E%B7%E1%9E%8F%E1%9E%9C%E1%9E%B7%E1%9E%91%E1%9F%92%E1%9E%99%E1%9E%B6" title="គណិតវិទ្យា – Khmer" lang="km" hreflang="km" data-title="គណិតវិទ្យា" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="Khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4" title="ಗಣಿತ – Kannada" lang="kn" hreflang="kn" data-title="ಗಣಿತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</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" title="수학 – Korean" lang="ko" hreflang="ko" data-title="수학" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Karachay-Balkar" lang="krc" hreflang="krc" data-title="Математика" data-language-autonym="Къарачай-малкъар" data-language-local-name="Karachay-Balkar" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/%DA%AF%D8%B1%D9%9B%D8%A0%D9%86%D8%AF%D9%8F%D8%AA" title="گرٛؠندُت – Kashmiri" lang="ks" hreflang="ks" data-title="گرٛؠندُت" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="Kashmiri" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Matemat%C3%AEk" title="Matematîk – Kurdish" lang="ku" hreflang="ku" data-title="Matematîk" data-language-autonym="Kurdî" data-language-local-name="Kurdish" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Awgrym" title="Awgrym – Cornish" lang="kw" hreflang="kw" data-title="Awgrym" data-language-autonym="Kernowek" data-language-local-name="Cornish" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A1%D0%BE%D0%BC%D0%BE/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Википедия:Сомо/Математика – Kyrgyz" lang="ky" hreflang="ky" data-title="Википедия:Сомо/Математика" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://la.wikipedia.org/wiki/Mathematica" title="Mathematica – Latin" lang="la" hreflang="la" data-title="Mathematica" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lad mw-list-item"><a href="https://lad.wikipedia.org/wiki/Matem%C3%A1tika" title="Matemátika – Ladino" lang="lad" hreflang="lad" data-title="Matemátika" data-language-autonym="Ladino" data-language-local-name="Ladino" class="interlanguage-link-target"><span>Ladino</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Mathematik" title="Mathematik – Luxembourgish" lang="lb" hreflang="lb" data-title="Mathematik" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxembourgish" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Lezghian" lang="lez" hreflang="lez" data-title="Математика" data-language-autonym="Лезги" data-language-local-name="Lezghian" class="interlanguage-link-target"><span>Лезги</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Ekibalangulo" title="Ekibalangulo – Ganda" lang="lg" hreflang="lg" data-title="Ekibalangulo" data-language-autonym="Luganda" data-language-local-name="Ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Mathematiek" title="Mathematiek – Limburgish" lang="li" hreflang="li" data-title="Mathematiek" data-language-autonym="Limburgs" data-language-local-name="Limburgish" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Matematica" title="Matematica – Ligurian" lang="lij" hreflang="lij" data-title="Matematica" data-language-autonym="Ligure" data-language-local-name="Ligurian" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lld mw-list-item"><a href="https://lld.wikipedia.org/wiki/Matematica" title="Matematica – Ladin" lang="lld" hreflang="lld" data-title="Matematica" data-language-autonym="Ladin" data-language-local-name="Ladin" class="interlanguage-link-target"><span>Ladin</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Matematega" title="Matematega – Lombard" lang="lmo" hreflang="lmo" data-title="Matematega" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%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="ຄະນິດສາດ – Lao" lang="lo" hreflang="lo" data-title="ຄະນິດສາດ" data-language-autonym="ລາວ" data-language-local-name="Lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Matematika" title="Matematika – Lithuanian" lang="lt" hreflang="lt" data-title="Matematika" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Matem%C4%81tika" title="Matemātika – Latvian" lang="lv" hreflang="lv" data-title="Matemātika" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mad mw-list-item"><a href="https://mad.wikipedia.org/wiki/Matematika" title="Matematika – Madurese" lang="mad" hreflang="mad" data-title="Matematika" data-language-autonym="Madhurâ" data-language-local-name="Madurese" class="interlanguage-link-target"><span>Madhurâ</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Maithili" lang="mai" hreflang="mai" data-title="गणित" data-language-autonym="मैथिली" data-language-local-name="Maithili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-map-bms mw-list-item"><a href="https://map-bms.wikipedia.org/wiki/Matematika" title="Matematika – Banyumasan" lang="jv-x-bms" hreflang="jv-x-bms" data-title="Matematika" data-language-autonym="Basa Banyumasan" data-language-local-name="Banyumasan" class="interlanguage-link-target"><span>Basa Banyumasan</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Matematika" title="Matematika – Malagasy" lang="mg" hreflang="mg" data-title="Matematika" data-language-autonym="Malagasy" data-language-local-name="Malagasy" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5" title="Математике – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Математике" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Matematika" title="Matematika – Minangkabau" lang="min" hreflang="min" data-title="Matematika" data-language-autonym="Minangkabau" data-language-local-name="Minangkabau" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Macedonian" lang="mk" hreflang="mk" data-title="Математика" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%82" title="ഗണിതം – Malayalam" lang="ml" hreflang="ml" data-title="ഗണിതം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><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" title="Математик – Mongolian" lang="mn" hreflang="mn" data-title="Математик" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%86%EA%AF%A9%EA%AF%81%EA%AF%A4%EA%AF%A1%EA%AF%82%EA%AF%A3%EA%AF%9F" title="ꯆꯩꯁꯤꯡꯂꯣꯟ – Manipuri" lang="mni" hreflang="mni" data-title="ꯆꯩꯁꯤꯡꯂꯣꯟ" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="Manipuri" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-mnw mw-list-item"><a href="https://mnw.wikipedia.org/wiki/%E1%80%9E%E1%81%9A%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သၚ်္ချာ – Mon" lang="mnw" hreflang="mnw" data-title="သၚ်္ချာ" data-language-autonym="ဘာသာမန်" data-language-local-name="Mon" class="interlanguage-link-target"><span>ဘာသာမန်</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Marathi" lang="mr" hreflang="mr" data-title="गणित" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Matematik" title="Matematik – Malay" lang="ms" hreflang="ms" data-title="Matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Matematika" title="Matematika – Maltese" lang="mt" hreflang="mt" data-title="Matematika" data-language-autonym="Malti" data-language-local-name="Maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Matem%C3%A1tica" title="Matemática – Mirandese" lang="mwl" hreflang="mwl" data-title="Matemática" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သင်္ချာ – Burmese" lang="my" hreflang="my" data-title="သင်္ချာ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Erzya" lang="myv" hreflang="myv" data-title="Математика" data-language-autonym="Эрзянь" data-language-local-name="Erzya" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D8%B1%D9%82%D9%85" title="رقم – Mazanderani" lang="mzn" hreflang="mzn" data-title="رقم" data-language-autonym="مازِرونی" data-language-local-name="Mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/Tlap%C5%8Dhualmatiliztli" title="Tlapōhualmatiliztli – Nahuatl" lang="nah" hreflang="nah" data-title="Tlapōhualmatiliztli" data-language-autonym="Nāhuatl" data-language-local-name="Nahuatl" class="interlanguage-link-target"><span>Nāhuatl</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Mathematik" title="Mathematik – Low German" lang="nds" hreflang="nds" data-title="Mathematik" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nds-nl mw-list-item"><a href="https://nds-nl.wikipedia.org/wiki/Wiskunde" title="Wiskunde – Low Saxon" lang="nds-NL" hreflang="nds-NL" data-title="Wiskunde" data-language-autonym="Nedersaksies" data-language-local-name="Low Saxon" class="interlanguage-link-target"><span>Nedersaksies</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Nepali" lang="ne" hreflang="ne" data-title="गणित" data-language-autonym="नेपाली" data-language-local-name="Nepali" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B2%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="ल्याःज्या – Newari" lang="new" hreflang="new" data-title="ल्याःज्या" data-language-autonym="नेपाल भाषा" data-language-local-name="Newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nia mw-list-item"><a href="https://nia.wikipedia.org/wiki/Matematika" title="Matematika – Nias" lang="nia" hreflang="nia" data-title="Matematika" data-language-autonym="Li Niha" data-language-local-name="Nias" class="interlanguage-link-target"><span>Li Niha</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wiskunde" title="Wiskunde – Dutch" lang="nl" hreflang="nl" data-title="Wiskunde" data-language-autonym="Nederlands" data-language-local-name="Dutch" 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/Matematikk" title="Matematikk – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Matematikk" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" 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/Matematikk" title="Matematikk – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Matematikk" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Matematike" title="Matematike – Novial" lang="nov" hreflang="nov" data-title="Matematike" data-language-autonym="Novial" data-language-local-name="Novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-nrm mw-list-item"><a href="https://nrm.wikipedia.org/wiki/Caltchul" title="Caltchul – Norman" lang="nrf" hreflang="nrf" data-title="Caltchul" data-language-autonym="Nouormand" data-language-local-name="Norman" class="interlanguage-link-target"><span>Nouormand</span></a></li><li class="interlanguage-link interwiki-nv mw-list-item"><a href="https://nv.wikipedia.org/wiki/A%C5%82hii%CA%BCn%C3%ADn%C3%A1%CA%BCiidz%C3%B3%C3%B3h" title="Ałhiiʼnínáʼiidzóóh – Navajo" lang="nv" hreflang="nv" data-title="Ałhiiʼnínáʼiidzóóh" data-language-autonym="Diné bizaad" data-language-local-name="Navajo" class="interlanguage-link-target"><span>Diné bizaad</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Matematicas" title="Matematicas – Occitan" lang="oc" hreflang="oc" data-title="Matematicas" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-olo mw-list-item"><a href="https://olo.wikipedia.org/wiki/Matematiekku" title="Matematiekku – Livvi-Karelian" lang="olo" hreflang="olo" data-title="Matematiekku" data-language-autonym="Livvinkarjala" data-language-local-name="Livvi-Karelian" class="interlanguage-link-target"><span>Livvinkarjala</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Herrega" title="Herrega – Oromo" lang="om" hreflang="om" data-title="Herrega" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%97%E0%AC%A3%E0%AC%BF%E0%AC%A4" title="ଗଣିତ – Odia" lang="or" hreflang="or" data-title="ଗଣିତ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="Odia" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%C3%A6" title="Математикæ – Ossetic" lang="os" hreflang="os" data-title="Математикæ" data-language-autonym="Ирон" data-language-local-name="Ossetic" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A8%A3%E0%A8%BF%E0%A8%A4" title="ਗਣਿਤ – Punjabi" lang="pa" hreflang="pa" data-title="ਗਣਿਤ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pag mw-list-item"><a href="https://pag.wikipedia.org/wiki/Matematiks" title="Matematiks – Pangasinan" lang="pag" hreflang="pag" data-title="Matematiks" data-language-autonym="Pangasinan" data-language-local-name="Pangasinan" class="interlanguage-link-target"><span>Pangasinan</span></a></li><li class="interlanguage-link interwiki-pam mw-list-item"><a href="https://pam.wikipedia.org/wiki/Matematica" title="Matematica – Pampanga" lang="pam" hreflang="pam" data-title="Matematica" data-language-autonym="Kapampangan" data-language-local-name="Pampanga" class="interlanguage-link-target"><span>Kapampangan</span></a></li><li class="interlanguage-link interwiki-pap mw-list-item"><a href="https://pap.wikipedia.org/wiki/Matem%C3%A1tika" title="Matemátika – Papiamento" lang="pap" hreflang="pap" data-title="Matemátika" data-language-autonym="Papiamentu" data-language-local-name="Papiamento" class="interlanguage-link-target"><span>Papiamentu</span></a></li><li class="interlanguage-link interwiki-pcd mw-list-item"><a href="https://pcd.wikipedia.org/wiki/Mat%C3%A9matikes" title="Matématikes – Picard" lang="pcd" hreflang="pcd" data-title="Matématikes" data-language-autonym="Picard" data-language-local-name="Picard" class="interlanguage-link-target"><span>Picard</span></a></li><li class="interlanguage-link interwiki-pi mw-list-item"><a href="https://pi.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%82" title="गणितं – Pali" lang="pi" hreflang="pi" data-title="गणितं" data-language-autonym="पालि" data-language-local-name="Pali" class="interlanguage-link-target"><span>पालि</span></a></li><li class="interlanguage-link interwiki-pih mw-list-item"><a href="https://pih.wikipedia.org/wiki/Maethamatiks" title="Maethamatiks – Norfuk / Pitkern" lang="pih" hreflang="pih" data-title="Maethamatiks" data-language-autonym="Norfuk / Pitkern" data-language-local-name="Norfuk / Pitkern" class="interlanguage-link-target"><span>Norfuk / Pitkern</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Matematyka" title="Matematyka – Polish" lang="pl" hreflang="pl" data-title="Matematyka" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Matem%C3%A0tica" title="Matemàtica – Piedmontese" lang="pms" hreflang="pms" data-title="Matemàtica" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="ریاضی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ریاضی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%B4%D9%85%DB%90%D8%B1%D9%BE%D9%88%D9%87%D9%86%D9%87" title="شمېرپوهنه – Pashto" lang="ps" hreflang="ps" data-title="شمېرپوهنه" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Matem%C3%A1tica" title="Matemática – Portuguese" lang="pt" hreflang="pt" data-title="Matemática" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Yupay_yachay" title="Yupay yachay – Quechua" lang="qu" hreflang="qu" data-title="Yupay yachay" data-language-autonym="Runa Simi" data-language-local-name="Quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Matematic%C4%83" title="Matematică – Romanian" lang="ro" hreflang="ro" data-title="Matematică" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-rup mw-list-item"><a href="https://roa-rup.wikipedia.org/wiki/Mathematic%C3%A2" title="Mathematicâ – Aromanian" lang="rup" hreflang="rup" data-title="Mathematicâ" data-language-autonym="Armãneashti" data-language-local-name="Aromanian" class="interlanguage-link-target"><span>Armãneashti</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%D0%BA%D0%B0" title="Математика – Russian" lang="ru" hreflang="ru" data-title="Математика" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D1%96%D0%BA%D0%B0" title="Математіка – Rusyn" lang="rue" hreflang="rue" data-title="Математіка" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%AE%E0%A5%8D" title="गणितम् – Sanskrit" lang="sa" hreflang="sa" data-title="गणितम्" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Yakut" lang="sah" hreflang="sah" data-title="Математика" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%AE%E1%B1%9E%E1%B1%A0%E1%B1%B7%E1%B1%9F" title="ᱮᱞᱠᱷᱟ – Santali" lang="sat" hreflang="sat" data-title="ᱮᱞᱠᱷᱟ" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="Santali" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-sc badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://sc.wikipedia.org/wiki/Matem%C3%A0tica" title="Matemàtica – Sardinian" lang="sc" hreflang="sc" data-title="Matemàtica" data-language-autonym="Sardu" data-language-local-name="Sardinian" class="interlanguage-link-target"><span>Sardu</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Matim%C3%A0tica" title="Matimàtica – Sicilian" lang="scn" hreflang="scn" data-title="Matimàtica" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Mathematics" title="Mathematics – Scots" lang="sco" hreflang="sco" data-title="Mathematics" data-language-autonym="Scots" data-language-local-name="Scots" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A" title="رياضي – Sindhi" lang="sd" hreflang="sd" data-title="رياضي" data-language-autonym="سنڌي" data-language-local-name="Sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Matematika" title="Matematika – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Matematika" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Tusnakt" title="Tusnakt – Tachelhit" lang="shi" hreflang="shi" data-title="Tusnakt" data-language-autonym="Taclḥit" data-language-local-name="Tachelhit" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9C%E0%B6%AB%E0%B7%92%E0%B6%AD%E0%B6%BA" title="ගණිතය – Sinhala" lang="si" hreflang="si" data-title="ගණිතය" data-language-autonym="සිංහල" data-language-local-name="Sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mathematics" title="Mathematics – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mathematics" 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/Matematika" title="Matematika – Slovak" lang="sk" hreflang="sk" data-title="Matematika" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-skr mw-list-item"><a href="https://skr.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="ریاضی – Saraiki" lang="skr" hreflang="skr" data-title="ریاضی" data-language-autonym="سرائیکی" data-language-local-name="Saraiki" class="interlanguage-link-target"><span>سرائیکی</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Matematika" title="Matematika – Slovenian" lang="sl" hreflang="sl" data-title="Matematika" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sm mw-list-item"><a href="https://sm.wikipedia.org/wiki/Matematika" title="Matematika – Samoan" lang="sm" hreflang="sm" data-title="Matematika" data-language-autonym="Gagana Samoa" data-language-local-name="Samoan" class="interlanguage-link-target"><span>Gagana Samoa</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Masvomhu" title="Masvomhu – Shona" lang="sn" hreflang="sn" data-title="Masvomhu" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Tiromaal" title="Tiromaal – Somali" lang="so" hreflang="so" data-title="Tiromaal" data-language-autonym="Soomaaliga" data-language-local-name="Somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Matematika" title="Matematika – Albanian" lang="sq" hreflang="sq" data-title="Matematika" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</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%D0%BA%D0%B0" title="Математика – Serbian" lang="sr" hreflang="sr" data-title="Математика" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-srn mw-list-item"><a href="https://srn.wikipedia.org/wiki/Sabi_fu_Teri" title="Sabi fu Teri – Sranan Tongo" lang="srn" hreflang="srn" data-title="Sabi fu Teri" data-language-autonym="Sranantongo" data-language-local-name="Sranan Tongo" class="interlanguage-link-target"><span>Sranantongo</span></a></li><li class="interlanguage-link interwiki-ss mw-list-item"><a href="https://ss.wikipedia.org/wiki/Tekubala" title="Tekubala – Swati" lang="ss" hreflang="ss" data-title="Tekubala" data-language-autonym="SiSwati" data-language-local-name="Swati" class="interlanguage-link-target"><span>SiSwati</span></a></li><li class="interlanguage-link interwiki-stq mw-list-item"><a href="https://stq.wikipedia.org/wiki/Mathematik" title="Mathematik – Saterland Frisian" lang="stq" hreflang="stq" data-title="Mathematik" data-language-autonym="Seeltersk" data-language-local-name="Saterland Frisian" class="interlanguage-link-target"><span>Seeltersk</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Matematika" title="Matematika – Sundanese" lang="su" hreflang="su" data-title="Matematika" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Matematik" title="Matematik – Swedish" lang="sv" hreflang="sv" data-title="Matematik" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Hisabati" title="Hisabati – Swahili" lang="sw" hreflang="sw" data-title="Hisabati" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Matymatyka" title="Matymatyka – Silesian" lang="szl" hreflang="szl" data-title="Matymatyka" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</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%AF%8D" title="கணிதம் – Tamil" lang="ta" hreflang="ta" data-title="கணிதம்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tcy mw-list-item"><a href="https://tcy.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4" title="ಗಣಿತ – Tulu" lang="tcy" hreflang="tcy" data-title="ಗಣಿತ" data-language-autonym="ತುಳು" data-language-local-name="Tulu" class="interlanguage-link-target"><span>ತುಳು</span></a></li><li class="interlanguage-link interwiki-tdd mw-list-item"><a href="https://tdd.wikipedia.org/wiki/%E1%A5%99%E1%A5%A3%E1%A5%AD%E1%A5%B0_%E1%A5%98%E1%A5%99%E1%A5%B3" title="ᥙᥣᥭᥰ ᥘᥙᥳ – Tai Nuea" lang="tdd" hreflang="tdd" data-title="ᥙᥣᥭᥰ ᥘᥙᥳ" data-language-autonym="ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ" data-language-local-name="Tai Nuea" class="interlanguage-link-target"><span>ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%97%E0%B0%A3%E0%B0%BF%E0%B0%A4%E0%B0%82" title="గణితం – Telugu" lang="te" hreflang="te" data-title="గణితం" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tet mw-list-item"><a href="https://tet.wikipedia.org/wiki/Matem%C3%A1tika" title="Matemátika – Tetum" lang="tet" hreflang="tet" data-title="Matemátika" data-language-autonym="Tetun" data-language-local-name="Tetum" class="interlanguage-link-target"><span>Tetun</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A0%D0%B8%D1%91%D0%B7%D0%B8%D1%91%D1%82" title="Риёзиёт – Tajik" lang="tg" hreflang="tg" data-title="Риёзиёт" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%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="คณิตศาสตร์ – Thai" lang="th" hreflang="th" data-title="คณิตศาสตร์" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Matematika" title="Matematika – Turkmen" lang="tk" hreflang="tk" data-title="Matematika" data-language-autonym="Türkmençe" data-language-local-name="Turkmen" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Matematika" title="Matematika – Tagalog" lang="tl" hreflang="tl" data-title="Matematika" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tly mw-list-item"><a href="https://tly.wikipedia.org/wiki/Rijozijot" title="Rijozijot – Talysh" lang="tly" hreflang="tly" data-title="Rijozijot" data-language-autonym="Tolışi" data-language-local-name="Talysh" class="interlanguage-link-target"><span>Tolışi</span></a></li><li class="interlanguage-link interwiki-tn mw-list-item"><a href="https://tn.wikipedia.org/wiki/Dipalo" title="Dipalo – Tswana" lang="tn" hreflang="tn" data-title="Dipalo" data-language-autonym="Setswana" data-language-local-name="Tswana" class="interlanguage-link-target"><span>Setswana</span></a></li><li class="interlanguage-link interwiki-tpi mw-list-item"><a href="https://tpi.wikipedia.org/wiki/Ol_matematik" title="Ol matematik – Tok Pisin" lang="tpi" hreflang="tpi" data-title="Ol matematik" data-language-autonym="Tok Pisin" data-language-local-name="Tok Pisin" class="interlanguage-link-target"><span>Tok Pisin</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Matematik" title="Matematik – Turkish" lang="tr" hreflang="tr" data-title="Matematik" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Dyondzo-Tinhlayo" title="Dyondzo-Tinhlayo – Tsonga" lang="ts" hreflang="ts" data-title="Dyondzo-Tinhlayo" data-language-autonym="Xitsonga" data-language-local-name="Tsonga" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Tatar" lang="tt" hreflang="tt" data-title="Математика" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Udmurt" lang="udm" hreflang="udm" data-title="Математика" data-language-autonym="Удмурт" data-language-local-name="Udmurt" class="interlanguage-link-target"><span>Удмурт</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%D0%BA%D0%B0" title="Математика – Ukrainian" lang="uk" hreflang="uk" data-title="Математика" data-language-autonym="Українська" data-language-local-name="Ukrainian" 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" title="ریاضی – Urdu" lang="ur" hreflang="ur" data-title="ریاضی" data-language-autonym="اردو" data-language-local-name="Urdu" 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/Matematika" title="Matematika – Uzbek" lang="uz" hreflang="uz" data-title="Matematika" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Matem%C3%A0tega" title="Matemàtega – Venetian" lang="vec" hreflang="vec" data-title="Matemàtega" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Matematik" title="Matematik – Veps" lang="vep" hreflang="vep" data-title="Matematik" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://vi.wikipedia.org/wiki/To%C3%A1n_h%E1%BB%8Dc" title="Toán học – Vietnamese" lang="vi" hreflang="vi" data-title="Toán học" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Wiskunde" title="Wiskunde – West Flemish" lang="vls" hreflang="vls" data-title="Wiskunde" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-vo badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://vo.wikipedia.org/wiki/Matemat" title="Matemat – Volapük" lang="vo" hreflang="vo" data-title="Matemat" data-language-autonym="Volapük" data-language-local-name="Volapük" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/Matematike" title="Matematike – Walloon" lang="wa" hreflang="wa" data-title="Matematike" data-language-autonym="Walon" data-language-local-name="Walloon" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Matematika" title="Matematika – Waray" lang="war" hreflang="war" data-title="Matematika" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wo mw-list-item"><a href="https://wo.wikipedia.org/wiki/Xayma" title="Xayma – Wolof" lang="wo" hreflang="wo" data-title="Xayma" data-language-autonym="Wolof" data-language-local-name="Wolof" class="interlanguage-link-target"><span>Wolof</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%95%B0%E5%AD%A6" title="数学 – Wu" lang="wuu" hreflang="wuu" data-title="数学" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – Kalmyk" lang="xal" hreflang="xal" data-title="Математика" data-language-autonym="Хальмг" data-language-local-name="Kalmyk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-Mathematics" title="I-Mathematics – Xhosa" lang="xh" hreflang="xh" data-title="I-Mathematics" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90" title="მათემატიკა – Mingrelian" lang="xmf" hreflang="xmf" data-title="მათემატიკა" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%9E%D7%90%D7%98%D7%A2%D7%9E%D7%90%D7%98%D7%99%D7%A7" title="מאטעמאטיק – Yiddish" lang="yi" hreflang="yi" data-title="מאטעמאטיק" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/Mathim%C3%A1t%C3%ADk%C3%AC" title="Mathimátíkì – Yoruba" lang="yo" hreflang="yo" data-title="Mathimátíkì" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/Soqyoz" title="Soqyoz – Zhuang" lang="za" hreflang="za" data-title="Soqyoz" data-language-autonym="Vahcuengh" data-language-local-name="Zhuang" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-zea mw-list-item"><a href="https://zea.wikipedia.org/wiki/Wiskunde" title="Wiskunde – Zeelandic" lang="zea" hreflang="zea" data-title="Wiskunde" data-language-autonym="Zeêuws" data-language-local-name="Zeelandic" class="interlanguage-link-target"><span>Zeêuws</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B5%9C%E2%B5%93%E2%B5%99%E2%B5%8F%E2%B4%B0%E2%B4%BD%E2%B5%9C" title="ⵜⵓⵙⵏⴰⴽⵜ – Standard Moroccan Tamazight" lang="zgh" hreflang="zgh" data-title="ⵜⵓⵙⵏⴰⴽⵜ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="Standard Moroccan Tamazight" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</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" title="数学 – Chinese" lang="zh" hreflang="zh" data-title="数学" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%95%B8%E5%AD%B8" title="數學 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="數學" 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height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d4/POTY_barnstar.svg/38px-POTY_barnstar.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d4/POTY_barnstar.svg/50px-POTY_barnstar.svg.png 2x" data-file-width="154" data-file-height="137" /></a></span></div></div> </div> <div id="siteSub" class="noprint">De Vicipedia</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="lfn" dir="ltr"><p><span></span> </p> <dl><dd><i>Esta es la article sur matematica. La <a href="/wiki/Categoria:Matematica" title="Categoria:Matematica">categoria Matematica</a> conteni plu articles sur matematica.</i></dd></dl> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Fix:Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio,_Euclide.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio%2C_Euclide.jpg/253px-Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio%2C_Euclide.jpg" decoding="async" width="253" height="363" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio%2C_Euclide.jpg/380px-Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio%2C_Euclide.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio%2C_Euclide.jpg/506px-Artgate_Fondazione_Cariplo_-_Cifrondi_Antonio%2C_Euclide.jpg 2x" data-file-width="558" data-file-height="800" /></a><figcaption>Euclide, par Justus van Ghent</figcaption></figure> <p><b>Matematica</b> es la <a href="/wiki/Siensa" title="Siensa">siensa</a> cual studia la motifes en la strutures de cosas astrata e la relatas entre los. La parola es derivada de μάθημα (<i>mathema</i>, "cosa aprendeda") en <a href="/wiki/Elinica_(lingua)" title="Elinica (lingua)">elinica</a>. </p><p>Matematica es esensal en multe campos, incluinte <a href="/wiki/Siensas_natural" title="Siensas natural">siensas natural</a>, <a href="/wiki/Injenia" title="Injenia">injenia</a>, <a href="/wiki/Medica" title="Medica">medica</a>, <a href="/w/index.php?title=Finansia&action=edit&redlink=1" class="new" title="Finansia (paje no esiste)">finansia</a> e <a href="/w/index.php?title=Siensas_sosial&action=edit&redlink=1" class="new" title="Siensas sosial (paje no esiste)">siensas sosial</a>. Matematica aplicada ia gida a multe disiplinas matematical nova, como statistica e la teoria de jua. Matematicistes es ance envolveda en matematica pur, sin ave un aplica en mente. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Etimolojia">Etimolojia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=1" title="Edita la parte: Etimolojia" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=1" title="Edit section's source code: Etimolojia"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La parola <i>matematica</i> veni de la elinica μάθημα (máthēma), cual en elinica antica sinifia "lo cual es aprendeda" (e ance "studia" e "siensa", e en elinica moderna sola "leson"). La parola per "matematica" ia ave un sinifia plu streta e tecnical sinifiante "studia matematical" an en la eda clasica. Sua ajetivo es μαθηματικός (mathēmatikós), sinifiante "pertinente a aprende" o "studiosa", cual ia sinifia plu tarda ance "matematical". Plu, μαθηματικὴ τέχνη (mathēmatikḗ tékhnē), o <i>ars mathematica</i> en latina, ia sinifia "arte matematical". </p><p>Simil, un de la du scolas de pensa en <a href="/w/index.php?title=Pitagorisme&action=edit&redlink=1" class="new" title="Pitagorisme (paje no esiste)">pitagorisme</a> ia es conoseda como la <i>mathēmatikoi</i> (μαθηματικοί) – cual en acel tempo ia sinifia "aprendores" plu ca "matematicistes" en un sensa moderna. </p><p>En <a href="/wiki/Latina_(lingua)" title="Latina (lingua)">latina</a> la terma matematica ia sinifia plu comun "astrolojia" (o a alga veses, "astronomia") plu ca "matematica"; la sinifia ia cambia gradal a sua sinifia moderna entre 1500 e 1800. Esta ia causa alga maltraduis; per esemplo, la averti par San Augustino ce cristianes ta garda se contra la <i>mathematici</i> ia vole dise "astrolojistes" ma es traduida como matematicistes a veses. </p><p>En <a href="/wiki/Lingua_franca_nova" title="Lingua franca nova">lingua franca nova</a>, la parola es singular, an si en alga linguas de fonte lo es plural. Esta aveni en franses (<i>mathématiques</i>), catalan (<i>matemàtiques</i>) e espaniol (<i>matemáticas</i>, an si ance la singular es usada, xef en America Latina). En portugues (<i>matemática</i>) e italian (<i>matematica</i>), la terma es singular. </p> <div class="mw-heading mw-heading2"><h2 id="Defini">Defini</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=2" title="Edita la parte: Defini" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=2" title="Edit section's source code: Defini"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica no ave un defini jeneral asetada. Aristotele ia defini matematica como "la siensa de cuantia" e esta defini ia domina asta la sentenio 18. En la sentenio 19, cuando la studia de matematica ia deveni plu rigorosa e ia comensa relata a temas astrata como la teoria de colies, matematicistes e filosofistes ia comensa proposa definis nova variosa. Tre tipos de defini oji dominante es nomida lojiciste, intuiste e formaliste, e cada refleta un scola de pensa filosofial diferente. Cada ave nonperfetas, nun es intera asetada, e no reconsilia pare posible. </p><p>Un defini temprana de matematica relatada con lojica ia es "la siensa cual ariva a concluis nesesada", par Benjamin Peirce en 1870. En la <i>Principia Mathematica</i>, Bertrand Russell e Alfred North Whitehead ia avansa la program filosofial conoseda como lojicisme, e ia atenta demostra ce tota consetas, declaras e prinsipes matematical pote es definida e demostrada intera con lojica de simboles. Un defini lojiciste de matematica es "Tota matematica es lojica simbolin", par Russell. </p><p>Definis intuiste, developada de la filosofia de la matematiciste L.E.J. Brouwer, identia matematica con alga fenomenos mental. Un esemplo de un defini intuiste es "Matematica es un ativia mental cual ave la inere de esecuta construis pos lunlotra". Un cualia strana de intuisme es ce lo rejeta alga ideas matematical considerada como valida par otra definis. Spesial, an si otra filosofias de matematica permete ojetos sur cual on pote demostra ce los esiste an si los no pote es construida, intuisme permete sola ojetos matematical cual pote es construida. Intuistes rejeta ance la lege de no posible tre (un caso cual obliga los a rejeta demostras par contradise como metodo viable de demostra). </p><p>Definis formaliste identia matematica con sua simboles e regulas de opera. Haskell Curry ia defini matematica como "la siensa de sistemes formal". Un sistem formal es un colie de simboles e alga regulas sur como on combina la simboles per formi formulas. En sistemes formal, la parola <i>axiom</i> ave un sinifia diferente de sua sinifia comun de "un vera cual es autoevidente" e lo es usada per refere a un combina de simboles cual es incluida en un sistem formal donada sin debe es derivada usante la regulas de la sistem. </p><p>Multe matematicistes ave no interesa sur la defini de matematica o considera ce lo es nondefinable. On ave no acorda sur esce matematica es un arte o un siensa. Algas dise ce "matematica es lo cual matematicistes fa". </p> <div class="mw-heading mw-heading2"><h2 id="Matematica_como_siensa">Matematica como siensa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=3" title="Edita la parte: Matematica como siensa" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=3" title="Edit section's source code: Matematica como siensa"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La matematiciste deutx Carl Friedrich Gauss ia refere a matematica como "la rea de la siensas". Plu resente, Marcus du Sautoy ia nomi matematica "la rea de siensa... la forsa gidante xef pos descovres siensal". En la <i>Liber Regina Scientiarum</i> orijinal, como ance en la tradui deutx <i>Königin der Wissenschaften</i>, la parola cual coresponde a <i>siensa</i> sinifia un "campo de conose". La spesiali de la sinifia de "siensa" como siensas natural segue la asende de siensa baconian, cual ia contrasta "siensas natural" a scolastica, la metodo aristotelan de demanda sur prinsipes prima. La rol de esperimenta empirical e oserva de la mundo esterna es iniorable en matematica, spesial cuando lo es comparada con siensas natural como biolojia, cimica o fisica. Albert Einstein ia dise ce "cuanto la leges de matematica refere a realis, los no es serta; e cuanto los es serta, los no refere a realia". </p><p>Alga filosofistes moderna considera ce matematica no es un siensa. La filosofiste Karl Popper ia oserva ce "la plu teorias matematical es, como los de fisica e biolojia, ipotesal-deduinte: donce matematica pur es plu prosima a siensas natural de cual la ipoteses es divinas, ca lo pare an resente". </p><p>Matematica ave multe en comun con otra campos de siensas fisical, spesial la esplora de resultas de suposas. Ance intui e esperimenta ave un rol en la formula de divinas en matematica e otra siensas. Matematica esperimental continua crese en importa en matematica, e computa e simili ave un rol cresente en siensa e matematica. </p><p>La opinas de matematicistes sur esta tema es variosa. Multe matematicistes crede ce nomi sua area un siensa es desasentua la importa de la lado estetical e sua istoria en la sete artes libral tradisional; otras crede ce iniora sua lia con siensas es oblida ce la interfas entre matematica e sua aplicas en siensa e injenia ia gida a multe developas en matematica. Un forma de esta difere de puntos de vista pare es la debate filosofial sur esce matematica es creada (como un arte) o descovreda (como un siensa). Lo es comun ce on vide universias divideda en sesiones cual inclui un divide de siensa e matematica, indicante ce esta campos es relatada ma no coaveni. En pratica, matematicistes es grupida con siensistes en niveles jeneral, ma en otra niveles plu definida, los es separada. Esta es un de la multe temas considerada en la filosofia de matematica. </p> <div class="mw-heading mw-heading2"><h2 id="Istoria">Istoria</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=4" title="Edita la parte: Istoria" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=4" title="Edit section's source code: Istoria"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>On pote vide la evolui de matematica como un serie de astratas sempre cresente, o como un crese de un tema. La astrata prima, cual es compartida con multe animales, ia es probable la numeros: la comprende ce un colie de du pomas e un colie de du oranias ave un cualia comun, pd la cuantia de sua membros. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fix:Plimpton_322.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Plimpton_322.jpg/220px-Plimpton_322.jpg" decoding="async" width="220" height="152" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Plimpton_322.jpg/330px-Plimpton_322.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Plimpton_322.jpg/440px-Plimpton_322.jpg 2x" data-file-width="1246" data-file-height="863" /></a><figcaption>La tableta babilonian Plimpton 322, datida en 1800 aec.</figcaption></figure> <p>Como evidentida par la marcas trovada sur osos, en ajunta a reconose como on conta ojetos fisical, cisa poplas preistorial ia reconose ance como conta cuantias astrata como tempo (dias, saisones, anios). </p> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fix:Archimedes_pi.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Archimedes_pi.svg/280px-Archimedes_pi.svg.png" decoding="async" width="280" height="93" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Archimedes_pi.svg/420px-Archimedes_pi.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Archimedes_pi.svg/560px-Archimedes_pi.svg.png 2x" data-file-width="750" data-file-height="250" /></a><figcaption>Arcimede ia usa la metodo de consuma per prosimi la valua de pi.</figcaption></figure> <p>Atestas de matematica plu complicada no ia apare asta sirca 3000 aec, cuando la babilonianes e ejiptianes ia comensa usa aritmetica, aljebra e jeometria per imposta e otra calculas finansial, per construi e per astronomia. La testos matematical la plu resente de Mesopotamia e Ejipte es de 2000-1800 aec. Multe testos plu temprana nota truples e donce, per dedui, la teorem de Pitagoras pare es la developa matematical la plu antica e estendeda pos aritmetica e jeometria fundal. Lo es en aritmetica babilonian do aritmetica fundal (soma, sutrae, multipli e divide) apare prima en rejistras arceolojial. La babilonianes ia ave un sistem de valua local, e ia usa un sistem numeral de base 50 cual nos usa ancora oji per mesura angulos e tempo. </p> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Fix:Bakhshali_numerals_2.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Bakhshali_numerals_2.jpg/330px-Bakhshali_numerals_2.jpg" decoding="async" width="330" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Bakhshali_numerals_2.jpg/495px-Bakhshali_numerals_2.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/58/Bakhshali_numerals_2.jpg/660px-Bakhshali_numerals_2.jpg 2x" data-file-width="1958" data-file-height="295" /></a><figcaption>La numerales usada en la manoscrito Bakhshali, data entre la sentenios 2 aec e 2 ec.</figcaption></figure> <p>Comensante en la sentenio 6 aec con la pitagoranes, la elinicas antica ia comensa un studia sistemosa de matematica como sujeto propria con matematica elinica. Sirca 300 aec, Euclide ia introdui la metodo axiomal ancora usada en matematica oji, cual es composada de defini, axiom, teorem e demostra. Sua libro de aprende <i>Elementos</i> es regardada como la libro de aprende la plu susedosa de sempre. On considera Arcimede como la matematiciste la plu grande de Anticia. El ia developa formulas per calcula la area surfasal e volum de solidas de jira, e ia usa la metodo de consuma per calcula la area su la arco de un parabola par soma un serie infinita, de un forma no multe diferente de calcula moderna. Otra atenis notable de matematica elinica es la sesioni cono (Apolonio de Perga, sentenio 3 aec), trigonometria (Hiparco de Nicea, sentenio 2 aec) e la comensa de aljebra (Diofanto, sentenio 3 ec). </p> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fix:Image-Al-Kit%C4%81b_al-mu%E1%B8%ABta%E1%B9%A3ar_f%C4%AB_%E1%B8%A5is%C4%81b_al-%C4%9Fabr_wa-l-muq%C4%81bala.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/23/Image-Al-Kit%C4%81b_al-mu%E1%B8%ABta%E1%B9%A3ar_f%C4%AB_%E1%B8%A5is%C4%81b_al-%C4%9Fabr_wa-l-muq%C4%81bala.jpg/197px-Image-Al-Kit%C4%81b_al-mu%E1%B8%ABta%E1%B9%A3ar_f%C4%AB_%E1%B8%A5is%C4%81b_al-%C4%9Fabr_wa-l-muq%C4%81bala.jpg" decoding="async" width="197" height="312" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/2/23/Image-Al-Kit%C4%81b_al-mu%E1%B8%ABta%E1%B9%A3ar_f%C4%AB_%E1%B8%A5is%C4%81b_al-%C4%9Fabr_wa-l-muq%C4%81bala.jpg 1.5x" data-file-width="240" data-file-height="380" /></a><figcaption>Un paje de la obra <i>Aljebra</i> par al-Kwarismi.</figcaption></figure> <p>La sistem numeral indu-arabi e la regulas per la usa de sua operas, usada en la mundo intera oji, ia evolui en la milenio prima ec en India e lo ia es transmeteda a la mundo ueste par la matematica muslim. Otra developas notable de matematica indu inclui la defini e prosimi moderna de sinus e cosinus, e un forma temprana de series infinita. </p><p>En la eda orosa de islam, spesial en la sentenios 9 e 10, matematica ia vide multe inovas importante, construinte sur matematica elinica. La ateni la plu notable de matematica muslim ia es la developa de aljebra. Otra susedes notable de la periodo muslim es la avansas en trigonometria sfera e la ajunta de la punto desimal a la sistem numeral arabi. Multe matematicistes notable de esta periodo ia es persian, como Al-Kwarismi, Omar Khayyam e Sharaf al-Din al-Tusi. </p><p>En la eda moderna, matematica ia comensa developa a un ritmo aselerada en Europa ueste. La developa de calcula par Newton e Leibniz en la sentenio 17 ia revolui matematica. Leonhard Euler ia es la matematiciste la plu notable de la sentenio 18, contribuinte con multe descovres de teoremes. Cisa la matematiciste la plu importante de la sentenio 19 ia es la deutx Carl Friedrich Gauss, ci ia contribui a campos como aljebra, analise, jeometria diferensial, teoria de matrises, teoria de numeros e statistica. En la sentenio 20 temprana, Kurt Gödel ia cambia matematica cuando el ia publici sua teoremes noncompleta, cual mostra en parte ce cualce sistem axiomal coerente (si lo es sufisinte potiosa per descrive aritmetica) conteni proposas vera cual no pote es demostrada. </p><p>Matematica ia estende de alora, e un interata multe frutosa ia esiste entre matematica e siensa, cual ia benefica ambos. On ave an oji descovres matematical. Seguente Mikhail B. Sevryuk, en un publica en <i>Bulletin of the American Mathematical Society</i> de janero 2006, "la cuantia de monografias e libros incluida en la base de datos Mathematical Reviews de 1940 (la anio prima en cual lo ia es publicida) es oji plu ca 1,9 milion, e plu ca 70 000 articles es ajuntada en cada anio. La majoria de obras ajuntada inclui teoremes nova e sua demostras. </p> <div class="mw-heading mw-heading2"><h2 id="Inspira,_matematica_pur_e_aplicada_e_estetica"><span id="Inspira.2C_matematica_pur_e_aplicada_e_estetica"></span>Inspira, matematica pur e aplicada e estetica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=5" title="Edita la parte: Inspira, matematica pur e aplicada e estetica" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=5" title="Edit section's source code: Inspira, matematica pur e aplicada e estetica"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica apare per multe problemes diversa. Prima lo ia es trovada en comersia, mesura de tera, arciteta e, plu tarda, astronomia; oji tota siensas sujesta problemes studiada par matematicistes, e multe problemes apare con matematica mesma. Per esemplo, la fisiciste Richard Feynman ia inventa la formula de mecanica cuantal par integrales de curso usante un combina de razona matematical e comprende fisical, e la teoria de cordetas de oji (un teoria ancora esente developada, cual atenta uni la cuatro forsas fundal de natur) continua inspira matematicas nova. </p><p>Alga matematica es importante sola per la area cual ia inspira lo, e lo es aplicada per solve plu problemes en acel area. Ma frecuente, matematica inspirada par un area es usosa en multe otras, e uni a la colie de consetas matematical. Un distingui es frecuente fada entre matematica pur e matematica aplicada. An tal, temas de matematica pur frecuente ave aplicas, per esemplo la teoria de numeros en criptografia. Esta fato notable, ce an la matematica "la plu pur" frecuente ave aplicas pratica, es cual Eugene Wigner ia nomi "la efetosia nonrazonable de matematica". Como en multe areas de studia, la esplode de conose en la eda siensal ia gida a spesiali: on ave sentos de areas spesialida en matematica e un <i>Mathematics Subject Classification</i> resente ave 46 pajes. Areas diversa de matematica aplicada ia uni con tradisiones relatada estra matematica e ia deveni disiplinas autonom, incluinte statistica, rexerca de operas e informatica. </p><p>Los ci ave un tende matematical trova comun un aspeta estetical en matematica. Multe matematicistes parla sur la sofistica de matematica, sua estetica esensal e sua belia interna. Simplia e jeneralia es valuada. On ave belia en un demostra simple e bela, como en la demostra de Euclide ce on ave numeros primal nonfinita, e un metodo numeral sofisticada cual aselera calcula, como la transformi rapida de Fourier. G. H. Hardy en <i>A Mathematician's Apology</i> ia espresa la crede ce esta consideras estetical sufisi per justi la studia de matematica pur. El ia identia consetas como sinifia, nonespetablia, nonevitablia e economia como fatores cual contribui a estetica matematical. Rexerca matematical xerca frecuente cualias importante de un ojeto matematical. La premio es un teorem espresada como un distingui de la ojeto par esta cualias. Esemplos de razonas matematical spesial consisa e revelante ia es publicida en <i>Proof from THE BOOK</i>. </p><p>La popularia de matematica recreal es un otra sinia de la plaser cual multe trova en solve problemes matematical. E en la otra estrema sosial, filosofistes continua trova problemes en filosofia de matematica, como la natur de demostra matematical. </p> <div class="mw-heading mw-heading2"><h2 id="Simboli,_lingua_e_rigor"><span id="Simboli.2C_lingua_e_rigor"></span>Simboli, lingua e rigor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=6" title="Edita la parte: Simboli, lingua e rigor" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=6" title="Edit section's source code: Simboli, lingua e rigor"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Plu de la simboli matematical usada oji no ia es inventada asta la sentenio 16. Ante esta, matematica ia es scriveda con parolas, limitante descovre matematical. Euler (1707-1783) ia es el ci ia introdui multe de la simbolis oji usada. Simbolis moderna fa ce matematica es plu simple per espertas, ma comensores trova comun ce lo descoraji los. Seguente Barbara Oakley, on pote atribui esta a la fato ce ideas matematical es plu astrata e sifrida ca los de lingua natural. Diferente de linguas natural, en cual persones pote frecuente egali un parola (como <i>cavalo</i>) con un ojeto fisical a cual lo coresponde, simboles matematical es astrata e ave no analoja fisical. Simboles matematical es plu sifrida ca parolas normal, cual sinifia ce un simbol pote sifri operas e ideas variosa. </p><p>Linguaje matematical pote es difisil per comprende per comensores car an termas comun, como <i>o</i> o <i>sola</i>, ave un sinifia plu esata ca los ave en la vive dial, e otra termas como <i>abrida</i> o <i>campo</i> refere a ideas matematical spesifada, no covreda par sinifias nonprofesal. Linguaje matematical inclui ance multe termas tecnical como <i>integrable</i> cual ave no sinifia esta matematica. On ave un causa per simboli spesial e vocabulo tecnical: matematica nesesa plu esatia ca la parla dial. Matematicistes refere a esta esatia e lojica como <i>rigor</i>. </p><p>Demostra matematical es fundal un caso de rigor. Matematicistes vole ce sua teoremes segue de axiomes par razona sistemosa. Esta es per evita "teoremes" erosa, fundida sur intuis capas de era, de cual multe casos ia aveni en la istoria en la sujeto. La nivel de rigor esijeda en matematica ia varia longo la tempo: la elinicas ia espera razonas detaliosa, ma en la tempo de Isaac Newton la metodos usada ia es min sever. Problemes inerente en la definis usada par Newton ia gida a la reemerji de analise atendente e demostra formal en la sentenio 19. Malcomprende la rigor es un causa de alga malconsetas en matematica. Oji, matematicistes continua discute entre se sur demostras fada par computador. Car multe difisil es serti computas grande, tal probas pote es noncoreta si la program usada es tal. A la otra lado, aidadores de demostra permete serti tota detalias cual no pote es donada par un demostra scriveda par mano, e furni sertia de coretia de demostras grande como la teorem de Feit-Thompson. </p> <div class="mw-heading mw-heading2"><h2 id="Temas_xef">Temas xef</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=7" title="Edita la parte: Temas xef" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=7" title="Edit section's source code: Temas xef"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>On va atenta esplica la temas xef de la investiga matematical, desiniante un curso per un prosimi progresiste de la problemes, la razonas e la disputas teorial. </p> <div class="mw-heading mw-heading3"><h3 id="Aritmetica">Aritmetica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=8" title="Edita la parte: Aritmetica" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=8" title="Edit section's source code: Aritmetica"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div><i>Article xef: <a href="/wiki/Aritmetica" title="Aritmetica">Aritmetica</a></i></div></dd></dl> <p>La problemes prima cual prosimi a la matematica es los cual pote es solveda con <a href="/wiki/Aritmetica" title="Aritmetica">aritmetica</a> fundal: la calculas fada con la cuatro operas pote relata a la maneja de finansia, evaluas de cuantias jeometrial o mecanical, calculas relatada a la ojetos e a la tecnicas cual on pote trova en la vive dial. </p><p>La plu fasiles de esta calculas pote es fada con la <a href="/wiki/Numero_natural" title="Numero natural">numeros natural</a>, ma rapida la problemes de calculo esije sabe trata la numeros relativa e razonal. </p> <div class="mw-heading mw-heading3"><h3 id="Aljebra">Aljebra</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=9" title="Edita la parte: Aljebra" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=9" title="Edit section's source code: Aljebra"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div><i>Article xef: <a href="/wiki/Aljebra" title="Aljebra">Aljebra</a></i></div></dd></dl> <p>La problemes aritmetical la plu simple es solveda par formulas cual furni resultas coerente. Per dise: la areas de un retangulo con lados longa <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/991e33c6e207b12546f15bdfee8b5726eafbbb2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 3}"></span> e <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29483407999b8763f0ea335cf715a6a5e809f44b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 5}"></span> e sua multipli <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3\times 5=15}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>×</mo> <mn>5</mn> <mo>=</mo> <mn>15</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3\times 5=15}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa6cf9fc6e747399792cb7be8546affbbe181a2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.589ex; height:2.176ex;" alt="{\displaystyle 3\times 5=15}"></span>. Problemes plu complicada nesesa la usa de <a href="/wiki/Egali" title="Egali">egalis</a>. Pd: par la teorem de Pitagora, si un triangulo reta ave un lado plu corta de longia <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/991e33c6e207b12546f15bdfee8b5726eafbbb2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 3}"></span> e <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/295b4bf1de7cd3500e740e0f4f0635db22d87b42" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 4}"></span>, la plu longa (<a href="/w/index.php?title=Ipotenusa&action=edit&redlink=1" class="new" title="Ipotenusa (paje no esiste)">ipotenusa</a>) ave como longia la numero positiva <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> cual solve la egali: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}-3^{2}-4^{2}=0\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}-3^{2}-4^{2}=0\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9012c923bee34c146677c878d78d90c24961db0a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:17.404ex; height:2.843ex;" alt="{\displaystyle x^{2}-3^{2}-4^{2}=0\;}"></span>. </p><p>La egalis la plu simple es la <a href="/w/index.php?title=Sistem_de_egalis_linial&action=edit&redlink=1" class="new" title="Sistem de egalis linial (paje no esiste)">egalis linial</a>, car los representa la demandas jeometrial la plu simple e car on pote solve los con prosedes normida. </p><p>En la formulas e en la egalis, on debe usa parametres con valuas nondeterminada: tal on pote dispone strumentos plu jeneral, cual permete consegue economia de pensa evidente. Pd: en un triangulo retangulo con cateto de longia <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> e <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}"></span>, la longia de la ipotenusa es la numero positiva <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> longo la formula <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}-a^{2}-b^{2}=0\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}-a^{2}-b^{2}=0\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1eea5d5e4da9919aba54f6a23f0ec8963aaaa221" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:17.307ex; height:2.843ex;" alt="{\displaystyle x^{2}-a^{2}-b^{2}=0\;}"></span>. </p><p>Per evalua plu bon la formulas e per resolve multe tipos de egalis, on nesesa developa un calculo de leteras cual permete reimajina los. La regulas de esta calculo leteral constitui la <a href="/wiki/Aljebra_fundal" title="Aljebra fundal">aljebra fundal</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Jeometria">Jeometria</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=10" title="Edita la parte: Jeometria" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=10" title="Edit section's source code: Jeometria"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div><i>Article xef: <a href="/wiki/Jeometria" title="Jeometria">Jeometria</a></i></div></dd></dl> <p>La studia de jeometria plana e spasial pertine orijinal a <a href="/w/index.php?title=Conseta_prima&action=edit&redlink=1" class="new" title="Conseta prima (paje no esiste)">primas</a>: la punto, la linia, la <a href="/w/index.php?title=Plana_(jeometria)&action=edit&redlink=1" class="new" title="Plana (jeometria) (paje no esiste)">plana</a>. Combinante esta elementos en la plana o en la spasio on oteni otra ojetos como partes, angulos, angulos solida, <a href="/wiki/Poligon" title="Poligon">poligones</a> e poliedros. </p><p>Punto, linia, plana e spasio ave dimensiones en ordina 0, 1, 2 e 3. Tra la calcula vetoral on defini e studia spasios en dimensiones plu alta (ance (<a href="/w/index.php?title=Spasio_de_Hilbert&action=edit&redlink=1" class="new" title="Spasio de Hilbert (paje no esiste)">infinita</a>. La analojas "curva" de esta spasios "plana" es la <a href="/w/index.php?title=Curva_(matematica)&action=edit&redlink=1" class="new" title="Curva (matematica) (paje no esiste)">curva</a> e la surfases, de dimensiones en ordina 1 e 2. </p><p>Un spasio curva en dimension acaso es nomida un varia diferensiable. </p><p>A interna de esta spasio on pote frecuente defini puntos e linias (nomida jeodesia), ma la <a href="/wiki/Jeometria" title="Jeometria">jeometria</a> cual segue lo no pote sasia la <a href="/wiki/Jeometria_euclidal" title="Jeometria euclidal">axiom de Euclide</a>: tal jeometria es nomida <a href="/wiki/Jeometria_euclidal" title="Jeometria euclidal">jeometria euclidal</a>. Un esemplo es la surfas de la Tera, cual conteni triangulos de cual cada ave tre angulos reta. </p> <div class="mw-heading mw-heading3"><h3 id="Analise">Analise</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=11" title="Edita la parte: Analise" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=11" title="Edit section's source code: Analise"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div><i>Article xef: <a href="/wiki/Analise_matematical" title="Analise matematical">Analise matematical</a></i></div></dd></dl> <p>La analise conserna xef la <a href="/wiki/Calculo" title="Calculo">calculo</a>, introduinte la idea fundal de la <a href="/w/index.php?title=Limita_(matematica)&action=edit&redlink=1" class="new" title="Limita (matematica) (paje no esiste)">limita</a>, e a pos de <a href="/w/index.php?title=Derivada&action=edit&redlink=1" class="new" title="Derivada (paje no esiste)">derivada</a> e <a href="/w/index.php?title=Integral&action=edit&redlink=1" class="new" title="Integral (paje no esiste)">integral</a>. Con esta strumentos on analise la conduis de la <a href="/w/index.php?title=Funsiona_(matematica)&action=edit&redlink=1" class="new" title="Funsiona (matematica) (paje no esiste)">funsionas</a>, cual ave frecuente no descrive clar ma es solves de un <a href="/w/index.php?title=Egalia_diferensial&action=edit&redlink=1" class="new" title="Egalia diferensial (paje no esiste)">egalia diferensial</a>, resultante per esemplo de un problem <a href="/wiki/Fisica" title="Fisica">fisical</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Campos_de_matematica">Campos de matematica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=12" title="Edita la parte: Campos de matematica" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=12" title="Edit section's source code: Campos de matematica"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica pote es divideda en la studia de cuantia, strutur, spasio e cambia (pd: aritmetica, aljebra, jeometria e analise). En ajunta a esta consernas xef, on ave ance campos dedicada a esplora lias de matematica con otra campos: con lojica, con matematica aplicada e plu resente con la studia sever de nonsertia. An si alga areas pote pare nonrelatada, la program de Laglands ia trova lias entre areas cual a ante ia pare nonliada, como la grupo de Galois, la surfas de Riemann e la teoria de numeros. </p> <div class="mw-heading mw-heading3"><h3 id="Fundi_e_filosofia">Fundi e filosofia</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=13" title="Edita la parte: Fundi e filosofia" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=13" title="Edit section's source code: Fundi e filosofia"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Per clari la funda de matematica, la campos de lojica matematical e teoria de colies ia es developada. La lojica matematical inclui la studia matematical de lojica e la aplica de lojica formal a otra areas de matematica; teoria de colies es la campo de matematica cual studia colies o colies de ojetos. La teoria de categorias, studiante un forma astrata con strutures matematical e relatas entre los, es ancora developante. La frase "crise de funda" descrive la xerca de un funda sever per la matematica cual ia aveni entre 1900 e 1930. Alga desacorda sur la funda de matematica continua oji. La crise de funda ia es stimulada per controversas diversa en acel epoca, incluinte la controversa sur la teoria de colies de Cantor e la controversa de Brouwer-Hilbert. </p><p>La informatica teorial inclui la teoria de computablia, la teoria de complicadia computal e la teoria de informa. La teoria de computablia esamina la limitas de modeles teorial diversa de la computador, incluinte la model plu conoseda – la macina de Turing. La teoria de complicadia es la studia de manejablia per computador; alga problemes, an si teorial solvable per un computador, es tan cara en relata con la tempo o spasio ce solve los va resta probable cuasi nonrealable, an con la avansa rapida de aparatos de computador. Un problem famosa es la problem "P = NP?", un de la Problemes de la Milenio. A fini, la teoria de informa relata a la cuantia de datos cual pote es retenida en un media donada, e on studia consetas como compresa e entropia. </p> <dl><dd><table style="border:1px solid #ddd; text-align:center; margin:auto" cellspacing="15"> <tbody><tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p\Rightarrow q\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo stretchy="false">⇒</mo> <mi>q</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p\Rightarrow q\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aa2598417bdef7f526c08bb71c546b1aba42f598" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:6.33ex; height:2.176ex;" alt="{\displaystyle p\Rightarrow q\,}"></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Venn_A_intersect_B.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/128px-Venn_A_intersect_B.svg.png" decoding="async" width="128" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/192px-Venn_A_intersect_B.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/256px-Venn_A_intersect_B.svg.png 2x" data-file-width="350" data-file-height="250" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Commutative_diagram_for_morphism.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Commutative_diagram_for_morphism.svg/96px-Commutative_diagram_for_morphism.svg.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Commutative_diagram_for_morphism.svg/144px-Commutative_diagram_for_morphism.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Commutative_diagram_for_morphism.svg/192px-Commutative_diagram_for_morphism.svg.png 2x" data-file-width="100" data-file-height="100" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:DFAexample.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9d/DFAexample.svg/96px-DFAexample.svg.png" decoding="async" width="96" height="57" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9d/DFAexample.svg/144px-DFAexample.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9d/DFAexample.svg/192px-DFAexample.svg.png 2x" data-file-width="500" data-file-height="299" /></a></span> </td></tr> <tr> <td><a href="/w/index.php?title=Lojica_matematical&action=edit&redlink=1" class="new" title="Lojica matematical (paje no esiste)">Lojica matematical</a></td> <td><a href="/w/index.php?title=Teoria_de_colies&action=edit&redlink=1" class="new" title="Teoria de colies (paje no esiste)">Teoria de colies</a></td> <td><a href="/w/index.php?title=Teoria_de_categorias&action=edit&redlink=1" class="new" title="Teoria de categorias (paje no esiste)">Teoria de categorias</a></td> <td><a href="/w/index.php?title=Teoria_de_computa&action=edit&redlink=1" class="new" title="Teoria de computa (paje no esiste)">Teoria de computa</a> </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Matematica_pur">Matematica pur</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=14" title="Edita la parte: Matematica pur" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=14" title="Edit section's source code: Matematica pur"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Cuantia">Cuantia</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=15" title="Edita la parte: Cuantia" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=15" title="Edit section's source code: Cuantia"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La studia de cuantia comensa con numeros, prima con la numeros natural e interos, e operas aritmetical con los, cual es descriveda en aritmetica. La proprias la plu fundal de interos es studiada en la teoria de numeros, de cual resultas bon conoseda veni, como la Teorem Ultima de Fermat. La <a href="/w/index.php?title=Numeros_prima_jemelo&action=edit&redlink=1" class="new" title="Numeros prima jemelo (paje no esiste)">divina de la interos primal</a> e la divina de Goldbach es du problemes nonsolveda en la teoria de numeros. </p><p>En cuando la sistem numeral ia es plu developada, la interos ia es reconoseda como un suclase de la numeros razonal ("fratos"). Estas, a sua ves, es contenida entre la numeros real, cual es usada per representa cuantias continuante. La numeros real es jeneralida en numeros composada. Estas es la pasos prima de un ierarcia de numeros cual inclui la cuaterniones e otoniones. La considera de la numeros natural gida ance a la numeros transfinita, cual formali la conseta de "nonfinitia". Longo la teorem fundal de aljebra, tota la solves de egalis en un nonconoseda con constantes composada es numeros composada, sin relata a la grado. Un otra campo de studia es la grandia de grupos, cual es descriveda con la numeros cardinal. Estas inclui la numeros alef, cual permete compara sinifiosa la grandia de grupos infinita grande. </p> <dl><dd><table style="border:1px solid #ddd; text-align:center; margin:auto" cellspacing="20"> <tbody><tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1,2,3,\ldots \!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mo>…</mo> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1,2,3,\ldots \!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5961ff1e82de3e93621ebeb348d405c518df8436" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.204ex; width:9.129ex; height:2.509ex;" alt="{\displaystyle 1,2,3,\ldots \!}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ldots ,-2,-1,0,1,2\,\ldots \!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>…</mo> <mo>,</mo> <mo>−</mo> <mn>2</mn> <mo>,</mo> <mo>−</mo> <mn>1</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mspace width="thinmathspace" /> <mo>…</mo> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ldots ,-2,-1,0,1,2\,\ldots \!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f33340d3b458b4a9782ff34b24b8c2d55abb4bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.204ex; width:21.023ex; height:2.509ex;" alt="{\displaystyle \ldots ,-2,-1,0,1,2\,\ldots \!}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle -2,{\frac {2}{3}},1.21\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−</mo> <mn>2</mn> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mo>,</mo> <mn>1.21</mn> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -2,{\frac {2}{3}},1.21\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/46f69bde2e37e56443b3c6839be8c010fdaad7a9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; margin-right: -0.387ex; width:11.558ex; height:5.176ex;" alt="{\displaystyle -2,{\frac {2}{3}},1.21\,\!}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle -e,{\sqrt {2}},3,\pi \,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−</mo> <mi>e</mi> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mi>π</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -e,{\sqrt {2}},3,\pi \,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d4344d8d6a980cb805d7b6cc29cd8770d8d8d61c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:11.973ex; height:3.009ex;" alt="{\displaystyle -e,{\sqrt {2}},3,\pi \,\!}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2,i,-2+3i,2e^{i{\frac {4\pi }{3}}}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mo>,</mo> <mi>i</mi> <mo>,</mo> <mo>−</mo> <mn>2</mn> <mo>+</mo> <mn>3</mn> <mi>i</mi> <mo>,</mo> <mn>2</mn> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>4</mn> <mi>π</mi> </mrow> <mn>3</mn> </mfrac> </mrow> </mrow> </msup> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2,i,-2+3i,2e^{i{\frac {4\pi }{3}}}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/694cccd4f4f8bf7e7159431b59477c67387b77ee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:18.543ex; height:3.843ex;" alt="{\displaystyle 2,i,-2+3i,2e^{i{\frac {4\pi }{3}}}\,\!}"></span> </td></tr> <tr> <td><a href="/wiki/Numero_natural" title="Numero natural">Numeros natural</a></td> <td><a href="/w/index.php?title=Intero&action=edit&redlink=1" class="new" title="Intero (paje no esiste)">Interos</a></td> <td><a href="/wiki/Numero_razonal" title="Numero razonal">Numeros razonal</a></td> <td><a href="/wiki/Numero_real" title="Numero real">Numeros real</a></td> <td><a href="/w/index.php?title=Numero_composada&action=edit&redlink=1" class="new" title="Numero composada (paje no esiste)">Numeros composada</a> </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading4"><h4 id="Strutur">Strutur</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=16" title="Edita la parte: Strutur" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=16" title="Edit section's source code: Strutur"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Multe ojetos matematical, como la grupos de numeros e funsionas esibi un strutur interna, resultante de la operas o relatas cual es definida en la grupo. Alora matematica studia proprias de esta grupos cual pote es espresada en relata con acel strutur; per esemplo la teoria de numeros studia la proprias de la grupo de interos cual pote es espresada en relata con operas aritmetical. En ajunta, lo aveni frecuente ce tal grupos struturida diferente (o strutures) esibi proprias simil, cual dona la posible, per un paso plu de astratia, de afirma axiomes per un clase de strutures, e studia alora la clase intera de strutures sasiante esta axiomes. Tal on pote studia grupos e otra sistemes astrata; junta esta studias (per strutures definida per operas aljebral) constitui la domina de aljebra astrata. </p><p>Par sua jeneralia grande, aljebra astrata pote frecuente es aplicada a problemes parente nonrelatada; per esemplo un numero de problemes antica consernante la compas (e construis par regla e compas) ia es final solveda usante la teoria de Galois, cual envolve la teorias de corpo e de grupo. Un otra esemplo de un teoria aljebral es <a href="/wiki/Aljebra_linial" title="Aljebra linial">aljebra linial</a> cual es la studia jeneral de spasios vetoral, de cual la elementos nomida vetores ave cuantia e dirije, e pote es usada per modeli (relatas entre) puntos en spasio. Esta es un esemplo de la fenomeno ce areas nonrelatada orijinal de jeometria ave interlias forte en matematica moderna. Combinatoria studia metodos per conta la numero de ojetos cual ajusta en un strutur donada. </p> <dl><dd><table style="border:1px solid #ddd; text-align:center; margin:auto" cellspacing="15"> <tbody><tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{matrix}(1,2,3)&(1,3,2)\\(2,1,3)&(2,3,1)\\(3,1,2)&(3,2,1)\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}(1,2,3)&(1,3,2)\\(2,1,3)&(2,3,1)\\(3,1,2)&(3,2,1)\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/329c4717bdfa2ba585b14793665ae413ee5107c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.338ex; width:17.803ex; height:9.843ex;" alt="{\displaystyle {\begin{matrix}(1,2,3)&(1,3,2)\\(2,1,3)&(2,3,1)\\(3,1,2)&(3,2,1)\end{matrix}}}"></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Elliptic_curve_simple.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/76/Elliptic_curve_simple.png/96px-Elliptic_curve_simple.png" decoding="async" width="96" height="117" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/76/Elliptic_curve_simple.png/144px-Elliptic_curve_simple.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/76/Elliptic_curve_simple.png/192px-Elliptic_curve_simple.png 2x" data-file-width="200" data-file-height="243" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Rubik%27s_cube.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/96px-Rubik%27s_cube.svg.png" decoding="async" width="96" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/144px-Rubik%27s_cube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/192px-Rubik%27s_cube.svg.png 2x" data-file-width="480" data-file-height="500" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Group_diagdram_D6.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Group_diagdram_D6.svg/96px-Group_diagdram_D6.svg.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Group_diagdram_D6.svg/144px-Group_diagdram_D6.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Group_diagdram_D6.svg/192px-Group_diagdram_D6.svg.png 2x" data-file-width="180" data-file-height="180" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Lattice_of_the_divisibility_of_60.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/96px-Lattice_of_the_divisibility_of_60.svg.png" decoding="async" width="96" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/144px-Lattice_of_the_divisibility_of_60.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/192px-Lattice_of_the_divisibility_of_60.svg.png 2x" data-file-width="313" data-file-height="250" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Braid-modular-group-cover.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Braid-modular-group-cover.svg/96px-Braid-modular-group-cover.svg.png" decoding="async" width="96" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Braid-modular-group-cover.svg/144px-Braid-modular-group-cover.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Braid-modular-group-cover.svg/192px-Braid-modular-group-cover.svg.png 2x" data-file-width="376" data-file-height="153" /></a></span> </td></tr> <tr> <td><a href="/wiki/Combinatoria" title="Combinatoria">Combinatoria</a></td> <td><a href="/w/index.php?title=Teoria_de_numeros&action=edit&redlink=1" class="new" title="Teoria de numeros (paje no esiste)">Teoria de numeros</a></td> <td><a href="/w/index.php?title=Teoria_de_grupos&action=edit&redlink=1" class="new" title="Teoria de grupos (paje no esiste)">Teoria de grupos</a></td> <td><a href="/w/index.php?title=Teoria_de_grafes&action=edit&redlink=1" class="new" title="Teoria de grafes (paje no esiste)">Teoria de grafes</a></td> <td><a href="/w/index.php?title=Teoria_de_ordinas&action=edit&redlink=1" class="new" title="Teoria de ordinas (paje no esiste)">Teoria de ordinas</a></td> <td><a href="/wiki/Aljebra" title="Aljebra">Aljebra</a> </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading4"><h4 id="Spasio">Spasio</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=17" title="Edita la parte: Spasio" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=17" title="Edit section's source code: Spasio"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La studia de spasio nase con <a href="/wiki/Jeometria" title="Jeometria">jeometria</a> – spesial, la <a href="/wiki/Jeometria_euclidal" title="Jeometria euclidal">jeometria euclidal</a>, cual combina spasio e numeros, e ensirca la <a href="/wiki/Teorem_de_Pitagora" title="Teorem de Pitagora">teorem famosa de Pitagora</a>. <a href="/wiki/Trigonometria" title="Trigonometria">Trigonometria</a> es la campo de matematica cual studia la relatas entre la lados e angulos de triangulos e la funsionas trigonometrial. La studia moderna de spasio jenerali esta ideas per inclui jeometria estradimensional, <a href="/w/index.php?title=Jeometrial_noneuclidal&action=edit&redlink=1" class="new" title="Jeometrial noneuclidal (paje no esiste)">jeometrial noneuclidal</a> (cual ave un rol sentral en <a href="/w/index.php?title=Relativia_jeneral&action=edit&redlink=1" class="new" title="Relativia jeneral (paje no esiste)">relativia jeneral</a> e <a href="/wiki/Topolojia" title="Topolojia">topolojia</a>. Cuantia e spasio ave un rol en <a href="/w/index.php?title=Jeometria_analisal&action=edit&redlink=1" class="new" title="Jeometria analisal (paje no esiste)">jeometria analisal</a>, <a href="/w/index.php?title=Jeometria_diferensial&action=edit&redlink=1" class="new" title="Jeometria diferensial (paje no esiste)">jeometria diferensial</a> e <a href="/w/index.php?title=Jeometria_aljebral&action=edit&redlink=1" class="new" title="Jeometria aljebral (paje no esiste)">jeometria aljebral</a>. </p><p>La <a href="/w/index.php?title=Jeometria_convesa&action=edit&redlink=1" class="new" title="Jeometria convesa (paje no esiste)">jeometria convesa</a> e <a href="/w/index.php?title=Jeometria_separada&action=edit&redlink=1" class="new" title="Jeometria separada (paje no esiste)">separada</a> ia es developada per solve problemes en la <a href="/w/index.php?title=Jeometria_de_numeros&action=edit&redlink=1" class="new" title="Jeometria de numeros (paje no esiste)">teoria de numeros</a> e analise funsional, ma es oji segueda per sua aplica en <a href="/w/index.php?title=Masimi_convesa&action=edit&redlink=1" class="new" title="Masimi convesa (paje no esiste)">masimi</a> e <a href="/w/index.php?title=Jeometria_computal&action=edit&redlink=1" class="new" title="Jeometria computal (paje no esiste)">informatica</a>. En jeometria diferensial on trova la consetas de faxos de fibres e calculo en varias, spesial la <a href="/w/index.php?title=Calculo_vetoral&action=edit&redlink=1" class="new" title="Calculo vetoral (paje no esiste)">calculo vetoral</a> e calcula tensoral. En jeometria aljebral on trova la descrive de ojetos jeometrial como colie de solves de egalis polinomial, combinante la consetas de cuantia e spasio, e ance la studia de <a href="/w/index.php?title=Grupos_topolojial&action=edit&redlink=1" class="new" title="Grupos topolojial (paje no esiste)">grupos topolojial</a>, cual combina strutur e spasio. Grupos de Lie es usada per studia spasio, strutur e cambia. <a href="/wiki/Topolojia" title="Topolojia">Topolojia</a> en tota sua ramos es la campo de matematica cual ia crese plu en la sentenio 20; lo inclui <a href="/w/index.php?title=Topolojia_jeneral&action=edit&redlink=1" class="new" title="Topolojia jeneral (paje no esiste)">topolojia jeneral</a>, <a href="/w/index.php?title=Topolojia_de_teoria_de_conjuntas&action=edit&redlink=1" class="new" title="Topolojia de teoria de conjuntas (paje no esiste)">topolojia de teoria de conjuntas</a>, <a href="/w/index.php?title=Topolojia_aljebral&action=edit&redlink=1" class="new" title="Topolojia aljebral (paje no esiste)">topolojia aljebral</a> e topolojia diferensial. Spesial, esemplos de topolojia moderna es la <a href="/w/index.php?title=Teoria_de_mesurablia&action=edit&redlink=1" class="new" title="Teoria de mesurablia (paje no esiste)">teoria de mesurablia</a>, la <a href="/w/index.php?title=Teoria_axiomal_de_conjuntas&action=edit&redlink=1" class="new" title="Teoria axiomal de conjuntas (paje no esiste)">teoria axiomal de conjuntas</a>, la <a href="/w/index.php?title=Teoria_de_omotopia&action=edit&redlink=1" class="new" title="Teoria de omotopia (paje no esiste)">teoria de omotopia</a> e la <a href="/w/index.php?title=Teoria_de_Morse&action=edit&redlink=1" class="new" title="Teoria de Morse (paje no esiste)">teoria de Morse</a>. </p><p>Topolojia inclui ance la <a href="/w/index.php?title=Ipotese_de_Poincar%C3%A9&action=edit&redlink=1" class="new" title="Ipotese de Poincaré (paje no esiste)">ipotese de Poincaré</a>, aora solveda, e la campos ancora nonsolveda de la <a href="/w/index.php?title=Ipotese_de_Hodge&action=edit&redlink=1" class="new" title="Ipotese de Hodge (paje no esiste)">ipotese de Hodge</a>. Otra resultas en jeometria e topolojia, incluinte la <a href="/w/index.php?title=Teorem_de_cuatro_colores&action=edit&redlink=1" class="new" title="Teorem de cuatro colores (paje no esiste)">teorem de cuatro colores</a> e la <a href="/w/index.php?title=Ipotese_de_Kepler&action=edit&redlink=1" class="new" title="Ipotese de Kepler (paje no esiste)">ipotese de Kepler</a>, ia es demostrada sola con la aida de computadores. </p> <dl><dd><table style="border:1px solid #ddd; text-align:center; margin:auto" cellspacing="15"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/Fix:Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png/96px-Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png" decoding="async" width="96" height="104" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png/144px-Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png/192px-Illustration_to_Euclid%27s_proof_of_the_Pythagorean_theorem.png 2x" data-file-width="500" data-file-height="540" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Sinusv%C3%A5g_400px.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Sinusv%C3%A5g_400px.png/96px-Sinusv%C3%A5g_400px.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Sinusv%C3%A5g_400px.png/144px-Sinusv%C3%A5g_400px.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Sinusv%C3%A5g_400px.png/192px-Sinusv%C3%A5g_400px.png 2x" data-file-width="400" data-file-height="400" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Hyperbolic_triangle.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Hyperbolic_triangle.png/96px-Hyperbolic_triangle.png" decoding="async" width="96" height="73" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ab/Hyperbolic_triangle.png/144px-Hyperbolic_triangle.png 1.5x, //upload.wikimedia.org/wikipedia/commons/a/ab/Hyperbolic_triangle.png 2x" data-file-width="157" data-file-height="119" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Torus.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/96px-Torus.png" decoding="async" width="96" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/144px-Torus.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/192px-Torus.png 2x" data-file-width="784" data-file-height="502" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Mandel_zoom_07_satellite.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Mandel_zoom_07_satellite.jpg/96px-Mandel_zoom_07_satellite.jpg" decoding="async" width="96" height="72" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Mandel_zoom_07_satellite.jpg/144px-Mandel_zoom_07_satellite.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Mandel_zoom_07_satellite.jpg/192px-Mandel_zoom_07_satellite.jpg 2x" data-file-width="2560" data-file-height="1920" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Measure_illustration.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Measure_illustration.png/70px-Measure_illustration.png" decoding="async" width="70" height="115" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Measure_illustration.png/105px-Measure_illustration.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Measure_illustration.png/140px-Measure_illustration.png 2x" data-file-width="364" data-file-height="598" /></a></span> </td></tr> <tr> <td><a href="/wiki/Jeometria" title="Jeometria">Jeometria</a></td> <td><a href="/wiki/Trigonometria" title="Trigonometria">Trigonometria</a></td> <td><a href="/w/index.php?title=Jeometria_diferensial&action=edit&redlink=1" class="new" title="Jeometria diferensial (paje no esiste)">Jeometria diferensial</a></td> <td><a href="/wiki/Topolojia" title="Topolojia">Topolojia</a></td> <td><a href="/w/index.php?title=Fratal&action=edit&redlink=1" class="new" title="Fratal (paje no esiste)">Jeometria fratal</a></td> <td><a href="/w/index.php?title=Teoria_de_mesuras&action=edit&redlink=1" class="new" title="Teoria de mesuras (paje no esiste)">Teoria de mesuras</a> </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading4"><h4 id="Cambia">Cambia</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=18" title="Edita la parte: Cambia" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=18" title="Edit section's source code: Cambia"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La descrive de cambia es un tema comun en la <a href="/w/index.php?title=Siensa_natural&action=edit&redlink=1" class="new" title="Siensa natural (paje no esiste)">siensa natural</a>, e <a href="/wiki/Calculo" title="Calculo">calculo</a> ia es developada como un strumento potiosa per investiga lo. <a href="/w/index.php?title=Funsiona_(matematica)&action=edit&redlink=1" class="new" title="Funsiona (matematica) (paje no esiste)">Funsionas</a> ia apare asi, como un conseta sentral descrivente un cuantia cambiante. La studia atendente de la numeros real e funsionas de un variable real es conoseda como <a href="/w/index.php?title=Analise_real&action=edit&redlink=1" class="new" title="Analise real (paje no esiste)">analise real</a>, e <a href="/w/index.php?title=Analise_composada&action=edit&redlink=1" class="new" title="Analise composada (paje no esiste)">analise composada</a> es la campo corespondente per la <a href="/w/index.php?title=Numeros_composada&action=edit&redlink=1" class="new" title="Numeros composada (paje no esiste)">numeros composada</a>. <a href="/w/index.php?title=Analise_funsional&action=edit&redlink=1" class="new" title="Analise funsional (paje no esiste)">Analise funsional</a> foca a la spasios tipal de dimensiones infinita de funsionas. Un de la multe aplicas de analise funsional es <a href="/w/index.php?title=Mecanica_cuantal&action=edit&redlink=1" class="new" title="Mecanica cuantal (paje no esiste)">mecanica cuantal</a>. Multe problemes ia gida natural a relatas entre un cuantia e sua taso de cambia, e esta es studiada como <a href="/w/index.php?title=Egalis_diferensial&action=edit&redlink=1" class="new" title="Egalis diferensial (paje no esiste)">egalis diferensial</a>. Multe fenomenos en natur pote es descriveda per <a href="/w/index.php?title=Sistemes_dinamical&action=edit&redlink=1" class="new" title="Sistemes dinamical (paje no esiste)">sistemes dinamical</a>; en la <a href="/w/index.php?title=Teoria_de_caos&action=edit&redlink=1" class="new" title="Teoria de caos (paje no esiste)">teoria de caos</a> estas es la formas en cual multe de esta sistemes esibi nonpredisable an tal un condui nonacaso. </p> <table style="border:1px solid #ddd; text-align:center; margin:auto" cellspacing="20"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/Fix:Integral_as_region_under_curve.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/90/Integral_as_region_under_curve.png/96px-Integral_as_region_under_curve.png" decoding="async" width="96" height="84" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/90/Integral_as_region_under_curve.png/144px-Integral_as_region_under_curve.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/90/Integral_as_region_under_curve.png/192px-Integral_as_region_under_curve.png 2x" data-file-width="782" data-file-height="685" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Vector_field.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Vector_field.svg/96px-Vector_field.svg.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Vector_field.svg/144px-Vector_field.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Vector_field.svg/192px-Vector_field.svg.png 2x" data-file-width="394" data-file-height="394" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Navier_Stokes_Laminar.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Navier_Stokes_Laminar.svg/96px-Navier_Stokes_Laminar.svg.png" decoding="async" width="96" height="77" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Navier_Stokes_Laminar.svg/144px-Navier_Stokes_Laminar.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Navier_Stokes_Laminar.svg/192px-Navier_Stokes_Laminar.svg.png 2x" data-file-width="900" data-file-height="720" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Limitcycle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Limitcycle.svg/96px-Limitcycle.svg.png" decoding="async" width="96" height="78" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Limitcycle.svg/144px-Limitcycle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/91/Limitcycle.svg/192px-Limitcycle.svg.png 2x" data-file-width="390" data-file-height="315" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Lorenz_attractor.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Lorenz_attractor.svg/96px-Lorenz_attractor.svg.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Lorenz_attractor.svg/144px-Lorenz_attractor.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Lorenz_attractor.svg/192px-Lorenz_attractor.svg.png 2x" data-file-width="750" data-file-height="750" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Conformal_grid_after_M%C3%B6bius_transformation.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Conformal_grid_after_M%C3%B6bius_transformation.svg/96px-Conformal_grid_after_M%C3%B6bius_transformation.svg.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Conformal_grid_after_M%C3%B6bius_transformation.svg/144px-Conformal_grid_after_M%C3%B6bius_transformation.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Conformal_grid_after_M%C3%B6bius_transformation.svg/192px-Conformal_grid_after_M%C3%B6bius_transformation.svg.png 2x" data-file-width="288" data-file-height="288" /></a></span> </td></tr> <tr> <td><a href="/wiki/Calculo" title="Calculo">Calculo</a></td> <td><a href="/w/index.php?title=Calculo_vetoral&action=edit&redlink=1" class="new" title="Calculo vetoral (paje no esiste)">Calculo vetoral</a></td> <td><a href="/w/index.php?title=Egalis_diferensial&action=edit&redlink=1" class="new" title="Egalis diferensial (paje no esiste)">Egalis diferensial</a></td> <td><a href="/w/index.php?title=Sistemes_dinamical&action=edit&redlink=1" class="new" title="Sistemes dinamical (paje no esiste)">Sistemes dinamical</a></td> <td><a href="/w/index.php?title=Teoria_de_caos&action=edit&redlink=1" class="new" title="Teoria de caos (paje no esiste)">Teoria de caos</a></td> <td><a href="/w/index.php?title=Analise_composada&action=edit&redlink=1" class="new" title="Analise composada (paje no esiste)">Analise composada</a> </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Matematica_aplicada">Matematica aplicada</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=19" title="Edita la parte: Matematica aplicada" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=19" title="Edit section's source code: Matematica aplicada"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica aplicada studia metodos matematical cual es usada en siensa, comersia, injenia e industria. Tal, "matematica aplicada" es un siensa matematical con sabes spesialida. La terma "matematica aplicada" descrive ance la spesiali profesal en cual matematicistes labora con problemes pratical, como un profesa focada a la "formula, studia e usa de modeles matematical" en <a href="/wiki/Siensa" title="Siensa">siensa</a>, <a href="/wiki/Injenia" title="Injenia">injenia</a> e otras campos de pratica matematical. </p><p>En la pasada, aplicas pratical ia motiva la developa de teorias matematical, cual ia deveni plu tarda la tema de studia en matematica pur, do matematica es xef developada per sua propre benefica. Tal, la ativia de matematica aplicada es interliada con rexerca en <a href="/wiki/Matematica_pur" title="Matematica pur">matematica pur</a>. </p> <div class="mw-heading mw-heading4"><h4 id="Statistica_e_otra_siensas_de_deside">Statistica e otra siensas de deside</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=20" title="Edita la parte: Statistica e otra siensas de deside" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=20" title="Edit section's source code: Statistica e otra siensas de deside"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica aplicada misca partal se con la disiplina de <a href="/wiki/Statistica" title="Statistica">statistica</a>, de cual sua teoria es matematical formulada, spesial con la <a href="/w/index.php?title=Teoria_de_probablia&action=edit&redlink=1" class="new" title="Teoria de probablia (paje no esiste)">teoria de probablia</a>. Statisticistes (laborante como parte de projetas de rexerca) "crea datos cual es lojical" con eleje acaso e con esperimentes acasida.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>La desinia de un sample statistical o esperimenta spesifa la analise de la datos (ante dispone la datos). Cuando on reconsidera datos de esperimentas e samples o cuando on analise datos de studias oservante, la statisticiste "dona lojica a la datos" usante la arte de <a href="/w/index.php?title=Modeli_statistical&action=edit&redlink=1" class="new" title="Modeli statistical (paje no esiste)">modeli</a> e la teoria de <a href="/w/index.php?title=Dedui_statistical&action=edit&redlink=1" class="new" title="Dedui statistical (paje no esiste)">dedui</a> – con eleje e estima de model; la modeles estimada e predises resultante debe es esaminada sur datos nova. </p><p>Teoria statistical studia la <a href="/w/index.php?title=Teoria_de_deside_statistical&action=edit&redlink=1" class="new" title="Teoria de deside statistical (paje no esiste)">problemes de desides</a>, como minimi la risca de perde espetada de un ata statistical, usante un prosede per estima la parametres, probante ipoteses e elejente la plu bon. En esta campos tradisional de statistica matematical un problem de deside statistical es formulada per minimi un <a href="/w/index.php?title=Funsiona_ojetal&action=edit&redlink=1" class="new" title="Funsiona ojetal (paje no esiste)">funsiona ojetal</a>, perde o custa espetada, su constrinjes spesifada: per dise, la desinia de un supravide envolve tipal la minimi de custa de estima de un promedia de un cuantia con un grado spesifada de sertia. Par causa de sua usa de <a href="/w/index.php?title=Masimi_matematical&action=edit&redlink=1" class="new" title="Masimi matematical (paje no esiste)">masimi</a>, la teoria matematical de statistica comparti consernas con otra siensas de deside, como rexerca de funsionas, teoria de controla e economia matematical. </p> <table style="border:1px solid #ddd; text-align:center; margin:0 auto" cellspacing="20"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/Fix:Gravitation_space_source.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Gravitation_space_source.png/96px-Gravitation_space_source.png" decoding="async" width="96" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Gravitation_space_source.png/144px-Gravitation_space_source.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/26/Gravitation_space_source.png/192px-Gravitation_space_source.png 2x" data-file-width="300" data-file-height="200" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:BernoullisLawDerivationDiagram.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/BernoullisLawDerivationDiagram.png/96px-BernoullisLawDerivationDiagram.png" decoding="async" width="96" height="45" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/BernoullisLawDerivationDiagram.png/144px-BernoullisLawDerivationDiagram.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a8/BernoullisLawDerivationDiagram.png/192px-BernoullisLawDerivationDiagram.png 2x" data-file-width="790" data-file-height="370" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Composite_trapezoidal_rule_illustration_small.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Composite_trapezoidal_rule_illustration_small.png/96px-Composite_trapezoidal_rule_illustration_small.png" decoding="async" width="96" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Composite_trapezoidal_rule_illustration_small.png/144px-Composite_trapezoidal_rule_illustration_small.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Composite_trapezoidal_rule_illustration_small.png/192px-Composite_trapezoidal_rule_illustration_small.png 2x" data-file-width="2407" data-file-height="1603" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Maximum_boxed.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Maximum_boxed.png/96px-Maximum_boxed.png" decoding="async" width="96" height="91" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Maximum_boxed.png/144px-Maximum_boxed.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Maximum_boxed.png/192px-Maximum_boxed.png 2x" data-file-width="634" data-file-height="599" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Two_red_dice_01.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Two_red_dice_01.svg/96px-Two_red_dice_01.svg.png" decoding="async" width="96" height="62" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Two_red_dice_01.svg/144px-Two_red_dice_01.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/36/Two_red_dice_01.svg/192px-Two_red_dice_01.svg.png 2x" data-file-width="671" data-file-height="430" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Oldfaithful3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0f/Oldfaithful3.png/96px-Oldfaithful3.png" decoding="async" width="96" height="96" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0f/Oldfaithful3.png/144px-Oldfaithful3.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0f/Oldfaithful3.png/192px-Oldfaithful3.png 2x" data-file-width="401" data-file-height="400" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Caesar3.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Caesar3.svg/96px-Caesar3.svg.png" decoding="async" width="96" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Caesar3.svg/144px-Caesar3.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Caesar3.svg/192px-Caesar3.svg.png 2x" data-file-width="856" data-file-height="361" /></a></span> </td></tr> <tr> <td><a href="/w/index.php?title=Fisica_matematical&action=edit&redlink=1" class="new" title="Fisica matematical (paje no esiste)">Fisica matematical</a></td> <td><a href="/w/index.php?title=Dinamica_de_fluentes&action=edit&redlink=1" class="new" title="Dinamica de fluentes (paje no esiste)">Dinamica de fluentes</a></td> <td><a href="/w/index.php?title=Analise_numeral&action=edit&redlink=1" class="new" title="Analise numeral (paje no esiste)">Analise numeral</a></td> <td><a href="/w/index.php?title=Masimi_matematical&action=edit&redlink=1" class="new" title="Masimi matematical (paje no esiste)">Masimi</a></td> <td><a href="/w/index.php?title=Teoria_de_probablia&action=edit&redlink=1" class="new" title="Teoria de probablia (paje no esiste)">Teoria de probablia</a></td> <td><a href="/wiki/Statistica" title="Statistica">Statistica</a></td> <td><a href="/w/index.php?title=Criptografia&action=edit&redlink=1" class="new" title="Criptografia (paje no esiste)">Criptografia</a> </td></tr> <tr> <td><span typeof="mw:File"><a href="/wiki/Fix:Market_Data_Index_NYA_on_20050726_202628_UTC.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Market_Data_Index_NYA_on_20050726_202628_UTC.png/96px-Market_Data_Index_NYA_on_20050726_202628_UTC.png" decoding="async" width="96" height="64" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Market_Data_Index_NYA_on_20050726_202628_UTC.png/144px-Market_Data_Index_NYA_on_20050726_202628_UTC.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/46/Market_Data_Index_NYA_on_20050726_202628_UTC.png/192px-Market_Data_Index_NYA_on_20050726_202628_UTC.png 2x" data-file-width="600" data-file-height="400" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Arbitrary-gametree-solved.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Arbitrary-gametree-solved.png/96px-Arbitrary-gametree-solved.png" decoding="async" width="96" height="69" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Arbitrary-gametree-solved.png/144px-Arbitrary-gametree-solved.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/Arbitrary-gametree-solved.png/192px-Arbitrary-gametree-solved.png 2x" data-file-width="400" data-file-height="286" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Signal_transduction_pathways.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Signal_transduction_pathways.png/96px-Signal_transduction_pathways.png" decoding="async" width="96" height="70" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Signal_transduction_pathways.png/144px-Signal_transduction_pathways.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Signal_transduction_pathways.png/192px-Signal_transduction_pathways.png 2x" data-file-width="1858" data-file-height="1364" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:CH4-structure.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0f/CH4-structure.svg/96px-CH4-structure.svg.png" decoding="async" width="96" height="104" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0f/CH4-structure.svg/144px-CH4-structure.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0f/CH4-structure.svg/192px-CH4-structure.svg.png 2x" data-file-width="175" data-file-height="190" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:GDP_PPP_Per_Capita_IMF_2008.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/GDP_PPP_Per_Capita_IMF_2008.png/96px-GDP_PPP_Per_Capita_IMF_2008.png" decoding="async" width="96" height="44" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/GDP_PPP_Per_Capita_IMF_2008.png/144px-GDP_PPP_Per_Capita_IMF_2008.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/GDP_PPP_Per_Capita_IMF_2008.png/192px-GDP_PPP_Per_Capita_IMF_2008.png 2x" data-file-width="1800" data-file-height="820" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fix:Simple_feedback_control_loop2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Simple_feedback_control_loop2.png/96px-Simple_feedback_control_loop2.png" decoding="async" width="96" height="33" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Simple_feedback_control_loop2.png/144px-Simple_feedback_control_loop2.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Simple_feedback_control_loop2.png/192px-Simple_feedback_control_loop2.png 2x" data-file-width="439" data-file-height="150" /></a></span> </td></tr> <tr> <td><a href="/w/index.php?title=Finansia_matematical&action=edit&redlink=1" class="new" title="Finansia matematical (paje no esiste)">Finansia matematical</a></td> <td><a href="/w/index.php?title=Teoria_de_jua&action=edit&redlink=1" class="new" title="Teoria de jua (paje no esiste)">Teoria de jua</a></td> <td><a href="/w/index.php?title=Biolojia_matematical&action=edit&redlink=1" class="new" title="Biolojia matematical (paje no esiste)">Biolojia matematical</a></td> <td><a href="/w/index.php?title=Cimica_matematical&action=edit&redlink=1" class="new" title="Cimica matematical (paje no esiste)">Cimica matematical</a></td> <td><a href="/w/index.php?title=Economia_matematical&action=edit&redlink=1" class="new" title="Economia matematical (paje no esiste)">Economia matematical</a></td> <td><a href="/w/index.php?title=Teoria_de_controla&action=edit&redlink=1" class="new" title="Teoria de controla (paje no esiste)">Teoria de controla</a> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Ensenia">Ensenia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=21" title="Edita la parte: Ensenia" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=21" title="Edit section's source code: Ensenia"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ensenia de matematica pote desinia la aprende de ideas matematical fundal como un funda per rexerca (ensenia superior de matematica). Longo la edas e la locas, la eleje de materias enseniada e la metodos de ensenia cambia (matematica moderna, metodo de Moore, educa clasica...). En alga paises, la eleje de programes scolal en educa publica es fada par instituidas ofisial. </p><p>Cédric Villani, en un confere de TED, nota un difisil importante cual no va es solveda sola par ensenia matematica: la prosede mesma de un descovre matematical no es matematica. George Pólya ia indica a contra en la dui prima de la sentenio 20 alga tecnicas cual permete solve problemes esistente, en sua libro <i>How to solve it</i>. </p><p>En la mesma eda, alga obras ia proposa oteni la tecnicas de solve par multe eserses per solve con sua coreti detaliada. </p> <div class="mw-heading mw-heading2"><h2 id="Pratica">Pratica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=22" title="Edita la parte: Pratica" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=22" title="Edit section's source code: Pratica"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Ativia_de_rexerca">Ativia de rexerca</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=23" title="Edita la parte: Ativia de rexerca" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=23" title="Edit section's source code: Ativia de rexerca"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Rexerca matematical no es limitada a proba teoremes. Un de la metodos la plu bon de rexerca matematical es uni campos cual es apriori distante par foca a fenomenos analoja. Identia de fenomenos analoja pote gida a vole ajusta la resultas de un campo de matematica a otra, a reformula la elementos de demostra en termas corespondente... En alga casos, identia de ojetos apriori diferente es un nesesa: la lingua de categorias permete fa esta tipo de cosas. </p><p>Un otra metodo de rexerca es fronti esemplos e casos spesifada. Esta fronti pote permete refusa la proprias sur cual on ia pensa o ia espera ce los esta vera (divinas). Lo permete serti la proprias o gida sua formali. </p> <div class="mw-heading mw-heading2"><h2 id="Relata_con_otra_siensas">Relata con otra siensas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=24" title="Edita la parte: Relata con otra siensas" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=24" title="Edit section's source code: Relata con otra siensas"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica ave relatas con otra siensas en un sinifia longa de la terma. La analise de donadas (interprete grafica, donadas statistical...) nesesa competes matematical variosa. Ma utiles avansada de matematica interveni en la modeli. </p><p>Tota la siensas nomida dur, estra matematica, tende a un comprende de la mundo real. Esta comprende aveni par institui un model, atendente alga parametres regardada como causas de un fenomeno. Esta model constitui un ojeto matematical, de cual sua studia permete un comprende plu bon de la fenomeno studiada, cisa un predise cualial o cuantial sur sua evolui futur. </p><p>La modeli usa capasias fundal liada a analises e probablia, ma ance la metodos aljebral o jeometrial es usosa. </p> <div class="mw-heading mw-heading3"><h3 id="Fisica">Fisica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=25" title="Edita la parte: Fisica" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=25" title="Edit section's source code: Fisica"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Matematica ia nase volente comprende la ambiente: jeometria ia nase de modeli formas idealida, e aritmetica de la nesesas de maneja cuantias. Astronomia e jeometria ia es confusada de tempo longa ante aora. Entre matematica e fisica, pos cuando on ia distingui los, on ia garda lias streta. En la istoria contempora de esta du siensas, matematica e fisica ia influe lunlotra. Fisica moderna usa multe matematica, fante un modeli sistemosa de la resultas de sua esperimentas: </p> <ul><li>Esta modeli pote usa utiles matematical ja developada. Tal la usa de mesuras en jeometria diferensial es un util esensal sur cual, notable, la relativia jeneral reposa, developada par la matematiciste Minkowski e a pos par la fisiciste Einstein. Esta usa aplica ance a otra teorias pos <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a>.</li> <li>Esta modeli coraji la matematicistes a interesa sur esta o acel strutur matematical par la nesesas de la fisica.</li> <li>Esta modeli esije a veses utiles matematical ancora no developada e abri perspetivas matematical nova. Tal Newton ia developa la calcula diferensial per pote scrive la lejes clasica de move; <a href="/w/index.php?title=Joseph_Fourier&action=edit&redlink=1" class="new" title="Joseph Fourier (paje no esiste)">Joseph Fourier</a> ia descovre la series cual porta sua nom (fundida sur la teoria de Fourier) cuando el ia es interesada sur la difusa de caldia en la corpo. Plu resente, on nota la problemes de cuanti jeometrial, de integrales de Feynman, de polinomios de Donaldson, etc.</li></ul> <p>Un campo de rexerca spesifada, fisica matematical, tende developa la metodos matematical usada par fisica. </p><p>La lia streta entre matematica e fisica es refletada en ensenia superior de matematica. La ensenia de fisica demanda lesones de matematica per fisicistes; e lo no es rara ce la cursos de matematica en universias inclui un inisia a fisica. </p><p>An tal, Albert Einstein es un de la primas en relativi la domina de matematica, recordante ce fisica usa formas diferente longo sua nesesas, e no sola un. Sua teoria de relativia jeneral usa per esemplo un jeometria noneuclidal formalida par Minkowski. El ia dise: "Cuando lo es liada con realia, la jeometria euclidal no es esata. Cuando lo es esata, lo no relata con realia" (Confere de Berlin de 1921, la jeometria es la esperia). </p> <div class="mw-heading mw-heading2"><h2 id="Vide_ance">Vide ance</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=26" title="Edita la parte: Vide ance" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=26" title="Edit section's source code: Vide ance"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Istoria_de_matematica&action=edit&redlink=1" class="new" title="Istoria de matematica (paje no esiste)">Istoria de matematica</a></li> <li><a href="/w/index.php?title=Fundi_de_matematica&action=edit&redlink=1" class="new" title="Fundi de matematica (paje no esiste)">Fundi de matematica</a></li> <li><a href="/wiki/Aritmetica" title="Aritmetica">Aritmetica</a></li> <li><a href="/wiki/Analise_matematical" title="Analise matematical">Analise matematical</a></li> <li><a href="/wiki/Matematica_pur" title="Matematica pur">Matematica pur</a></li> <li><a href="/wiki/Matematica_aplicada" title="Matematica aplicada">Matematica aplicada</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referes">Referes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=27" title="Edita la parte: Referes" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=27" title="Edit section's source code: Referes"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a href="/w/index.php?title=C.R._Rao&action=edit&redlink=1" class="new" title="C.R. Rao (paje no esiste)">Rao, C.R.</a> (1997) <i>Statistics and Truth: Putting Chance to Work</i>, World Scientific. <a href="/wiki/Spesial:BookSources/9810231113" class="internal mw-magiclink-isbn">ISBN 981-02-3111-3</a></span> </li> </ol> <div class="mw-heading mw-heading2"><h2 id="Lias_esterna">Lias esterna</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matematica&veaction=edit&section=28" title="Edita la parte: Lias esterna" class="mw-editsection-visualeditor"><span>edita</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matematica&action=edit&section=28" title="Edit section's source code: Lias esterna"><span>edita la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.freebookcentre.net/SpecialCat/Free-Mathematics-Books-Download.html">Libros sur matematica sin custa</a></li></ul> <p><br /> </p> <table class="navbox collapsible collapsed nowraplinks noprint" style="margin:auto; width:100%; clear:both; border: 1px solid #aaa; padding: 2px;"><tbody><tr><th colspan="3" style="text-align:center; width:100%; background:#ccf; font-size:90%;"><div class="noprint plainlinks" style="float:left; font-size:xx-small; width:6em; text-align:left; padding:0 10px;"><a href="/wiki/Model:Siensa" title="Model:Siensa"><span title="Vai alla pagina del template.">v</span></a> · <a href="/w/index.php?title=Model_Discute:Siensa&action=edit&redlink=1" class="new" title="Model Discute:Siensa (paje no esiste)"><span style="color:#002bb8;" title="Discuti del template.">d</span></a> · <a class="external text" href="https://lfn.wikipedia.org/w/index.php?title=Model:Siensa&action=edit"><span style="color:#002bb8;" title="Per modificare il template. 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