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class="vector-toc-text"> 2 random </div> </a> <ul id="toc-random-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-order" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#order"> <div class="vector-toc-text"> 3 order </div> </a> <ul id="toc-order-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-precision" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#precision"> <div class="vector-toc-text"> 4 precision </div> </a> <ul id="toc-precision-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-max" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#max"> <div class="vector-toc-text"> 5 max </div> </a> <ul id="toc-max-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-median" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#median"> <div class="vector-toc-text"> 6 median </div> </a> <ul id="toc-median-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-min" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#min"> <div class="vector-toc-text"> 7 min </div> </a> <ul id="toc-min-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-sum" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#sum"> <div class="vector-toc-text"> 8 sum </div> </a> <ul id="toc-sum-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-average" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#average"> <div class="vector-toc-text"> 9 average </div> </a> <ul id="toc-average-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-round" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#round"> <div class="vector-toc-text"> 10 round </div> </a> <ul id="toc-round-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-log10" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#log10"> <div class="vector-toc-text"> 11 log10 </div> </a> <ul id="toc-log10-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-mod" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#mod"> <div class="vector-toc-text"> 12 mod </div> </a> <ul id="toc-mod-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-gcd" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#gcd"> <div class="vector-toc-text"> 13 gcd </div> </a> <ul id="toc-gcd-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-precision_format" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#precision_format"> <div class="vector-toc-text"> 14 precision_format </div> </a> <ul id="toc-precision_format-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-divide" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#divide"> <div class="vector-toc-text"> 15 divide </div> </a> <ul id="toc-divide-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-cleanNumber" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#cleanNumber"> <div class="vector-toc-text"> 16 cleanNumber </div> </a> <ul id="toc-cleanNumber-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> 17 See also </div> </a> <ul id="toc-See_also-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="Nội dung" 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="Đóng mở mục lục" > <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" > Đóng mở mục lục </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">Mô đun:Math</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="Xem bài viết trong ngôn ngữ khác. Bài có sẵn trong 175 ngôn ngữ" > <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-175" aria-hidden="true" > 175 ngôn ngữ </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ace mw-list-item"><a href="https://ace.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Achinese" lang="ace" hreflang="ace" data-title="Modul:Math" data-language-autonym="Acèh" data-language-local-name="Tiếng Achinese" class="interlanguage-link-target">Acèh</a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Afrikaans" lang="af" hreflang="af" data-title="Module:Math" data-language-autonym="Afrikaans" data-language-local-name="Tiếng Afrikaans" class="interlanguage-link-target">Afrikaans</a></li><li class="interlanguage-link interwiki-alt mw-list-item"><a href="https://alt.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Altai Miền Nam" lang="alt" hreflang="alt" data-title="Модуль:Math" data-language-autonym="Алтай тил" data-language-local-name="Tiếng Altai Miền Nam" class="interlanguage-link-target">Алтай тил</a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Anh cổ" lang="ang" hreflang="ang" data-title="Module:Math" data-language-autonym="Ænglisc" data-language-local-name="Tiếng Anh cổ" class="interlanguage-link-target">Ænglisc</a></li><li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/%D0%90%D0%BC%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Амодуль:Math – Tiếng Abkhazia" lang="ab" hreflang="ab" data-title="Амодуль:Math" data-language-autonym="Аԥсшәа" data-language-local-name="Tiếng Abkhazia" class="interlanguage-link-target">Аԥсшәа</a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="وحدة:Math – Tiếng Ả Rập" lang="ar" hreflang="ar" data-title="وحدة:Math" data-language-autonym="العربية" data-language-local-name="Tiếng Ả Rập" class="interlanguage-link-target">العربية</a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Tiếng Aragon" lang="an" hreflang="an" data-title="Módulo:Math" data-language-autonym="Aragonés" data-language-local-name="Tiếng Aragon" class="interlanguage-link-target">Aragonés</a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D5%84%D5%B8%D5%A4%D5%B8%D6%82%D5%AC:Math" title="Մոդուլ:Math – Western Armenian" lang="hyw" hreflang="hyw" data-title="Մոդուլ:Math" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target">Արեւմտահայերէն</a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Assam" lang="as" hreflang="as" data-title="Module:Math" data-language-autonym="অসমীয়া" data-language-local-name="Tiếng Assam" class="interlanguage-link-target">অসমীয়া</a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/M%C3%B3dulu:Math" title="Módulu:Math – Tiếng Asturias" lang="ast" hreflang="ast" data-title="Módulu:Math" data-language-autonym="Asturianu" data-language-local-name="Tiếng Asturias" class="interlanguage-link-target">Asturianu</a></li><li class="interlanguage-link interwiki-av mw-list-item"><a href="https://av.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Avaric" lang="av" hreflang="av" data-title="Модуль:Math" data-language-autonym="Авар" data-language-local-name="Tiếng Avaric" class="interlanguage-link-target">Авар</a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Azerbaijan" lang="az" hreflang="az" data-title="Modul:Math" data-language-autonym="Azərbaycanca" data-language-local-name="Tiếng Azerbaijan" class="interlanguage-link-target">Azərbaycanca</a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%85%D8%A7%DA%98%D9%88%D9%84:Math" title="ماژول:Math – South Azerbaijani" lang="azb" hreflang="azb" data-title="ماژول:Math" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target">تۆرکجه</a></li><li class="interlanguage-link interwiki-gor mw-list-item"><a href="https://gor.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Gorontalo" lang="gor" hreflang="gor" data-title="Modul:Math" data-language-autonym="Bahasa Hulontalo" data-language-local-name="Tiếng Gorontalo" class="interlanguage-link-target">Bahasa Hulontalo</a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Indonesia" lang="id" hreflang="id" data-title="Modul:Math" data-language-autonym="Bahasa Indonesia" data-language-local-name="Tiếng Indonesia" class="interlanguage-link-target">Bahasa Indonesia</a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Mã Lai" lang="ms" hreflang="ms" data-title="Modul:Math" data-language-autonym="Bahasa Melayu" data-language-local-name="Tiếng Mã Lai" class="interlanguage-link-target">Bahasa Melayu</a></li><li class="interlanguage-link interwiki-ban mw-list-item"><a href="https://ban.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Bali" lang="ban" hreflang="ban" data-title="Modul:Math" data-language-autonym="Basa Bali" data-language-local-name="Tiếng Bali" class="interlanguage-link-target">Basa Bali</a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A6%A1%E0%A6%BF%E0%A6%89%E0%A6%B2:Math" title="মডিউল:Math – Tiếng Bangla" lang="bn" hreflang="bn" data-title="মডিউল:Math" data-language-autonym="বাংলা" data-language-local-name="Tiếng Bangla" class="interlanguage-link-target">বাংলা</a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Banjar" lang="bjn" hreflang="bjn" data-title="Modul:Math" data-language-autonym="Banjar" data-language-local-name="Tiếng Banjar" class="interlanguage-link-target">Banjar</a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Tiếng Mân Nam" lang="nan" hreflang="nan" data-title="模組:Math" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Tiếng Mân Nam" class="interlanguage-link-target">閩南語 / Bân-lâm-gú</a></li><li class="interlanguage-link interwiki-map-bms mw-list-item"><a href="https://map-bms.wikipedia.org/wiki/Modhul:Math" title="Modhul:Math – Banyumasan" lang="jv-x-bms" hreflang="jv-x-bms" data-title="Modhul:Math" data-language-autonym="Basa Banyumasan" data-language-local-name="Banyumasan" class="interlanguage-link-target">Basa Banyumasan</a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Bashkir" lang="ba" hreflang="ba" data-title="Модуль:Math" data-language-autonym="Башҡортса" data-language-local-name="Tiếng Bashkir" class="interlanguage-link-target">Башҡортса</a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Belarus" lang="be" hreflang="be" data-title="Модуль:Math" data-language-autonym="Беларуская" data-language-local-name="Tiếng Belarus" class="interlanguage-link-target">Беларуская</a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D1%87%D0%BD%D1%8B" title="Модуль:Матэматычны – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Модуль:Матэматычны" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target">Беларуская (тарашкевіца)</a></li><li class="interlanguage-link interwiki-mad mw-list-item"><a href="https://mad.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Madura" lang="mad" hreflang="mad" data-title="Modul:Math" data-language-autonym="Madhurâ" data-language-local-name="Tiếng Madura" class="interlanguage-link-target">Madhurâ</a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/Module:Math" title="Module:Math – Bhojpuri" lang="bh" hreflang="bh" data-title="Module:Math" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target">भोजपुरी</a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Module:Math" title="Module:Math – Central Bikol" lang="bcl" hreflang="bcl" data-title="Module:Math" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target">Bikol Central</a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Bavaria" lang="bar" hreflang="bar" data-title="Modul:Math" data-language-autonym="Boarisch" data-language-local-name="Tiếng Bavaria" class="interlanguage-link-target">Boarisch</a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Bosnia" lang="bs" hreflang="bs" data-title="Modul:Math" data-language-autonym="Bosanski" data-language-local-name="Tiếng Bosnia" class="interlanguage-link-target">Bosanski</a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Tiếng Bulgaria" lang="bg" hreflang="bg" data-title="Модул:Math" data-language-autonym="Български" data-language-local-name="Tiếng Bulgaria" class="interlanguage-link-target">Български</a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Модуль:Math" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target">Буряад</a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/M%C3%B2dul:Math" title="Mòdul:Math – Tiếng Catalan" lang="ca" hreflang="ca" data-title="Mòdul:Math" data-language-autonym="Català" data-language-local-name="Tiếng Catalan" class="interlanguage-link-target">Català</a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Cebuano" lang="ceb" hreflang="ceb" data-title="Module:Math" data-language-autonym="Cebuano" data-language-local-name="Tiếng Cebuano" class="interlanguage-link-target">Cebuano</a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Chuvash" lang="cv" hreflang="cv" data-title="Модуль:Math" data-language-autonym="Чӑвашла" data-language-local-name="Tiếng Chuvash" class="interlanguage-link-target">Чӑвашла</a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Séc" lang="cs" hreflang="cs" data-title="Modul:Math" data-language-autonym="Čeština" data-language-local-name="Tiếng Séc" class="interlanguage-link-target">Čeština</a></li><li class="interlanguage-link interwiki-ch mw-list-item"><a href="https://ch.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Chamorro" lang="ch" hreflang="ch" data-title="Module:Math" data-language-autonym="Chamoru" data-language-local-name="Tiếng Chamorro" class="interlanguage-link-target">Chamoru</a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Chavacano" lang="cbk" hreflang="cbk" data-title="Módulo:Math" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target">Chavacano de Zamboanga</a></li><li class="interlanguage-link interwiki-ny mw-list-item"><a href="https://ny.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Nyanja" lang="ny" hreflang="ny" data-title="Module:Math" data-language-autonym="Chi-Chewa" data-language-local-name="Tiếng Nyanja" class="interlanguage-link-target">Chi-Chewa</a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Shona" lang="sn" hreflang="sn" data-title="Module:Math" data-language-autonym="ChiShona" data-language-local-name="Tiếng Shona" class="interlanguage-link-target">ChiShona</a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Modiwl:Math" title="Modiwl:Math – Tiếng Wales" lang="cy" hreflang="cy" data-title="Modiwl:Math" data-language-autonym="Cymraeg" data-language-local-name="Tiếng Wales" class="interlanguage-link-target">Cymraeg</a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Đan Mạch" lang="da" hreflang="da" data-title="Modul:Math" data-language-autonym="Dansk" data-language-local-name="Tiếng Đan Mạch" class="interlanguage-link-target">Dansk</a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%85%D9%88%D8%AF%D9%88%D9%84:Math" title="مودول:Math – Moroccan Arabic" lang="ary" hreflang="ary" data-title="مودول:Math" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target">الدارجة</a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Moodul:Math" title="Moodul:Math – Tiếng Estonia" lang="et" hreflang="et" data-title="Moodul:Math" data-language-autonym="Eesti" data-language-local-name="Tiếng Estonia" class="interlanguage-link-target">Eesti</a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Hy Lạp" lang="el" hreflang="el" data-title="Module:Math" data-language-autonym="Ελληνικά" data-language-local-name="Tiếng Hy Lạp" class="interlanguage-link-target">Ελληνικά</a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Anh" lang="en" hreflang="en" data-title="Module:Math" data-language-autonym="English" data-language-local-name="Tiếng Anh" class="interlanguage-link-target">English</a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Tiếng Tây Ban Nha" lang="es" hreflang="es" data-title="Módulo:Math" data-language-autonym="Español" data-language-local-name="Tiếng Tây Ban Nha" class="interlanguage-link-target">Español</a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Tiếng Quốc Tế Ngữ" lang="eo" hreflang="eo" data-title="Modulo:Math" data-language-autonym="Esperanto" data-language-local-name="Tiếng Quốc Tế Ngữ" class="interlanguage-link-target">Esperanto</a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Modulu:Math" title="Modulu:Math – Tiếng Basque" lang="eu" hreflang="eu" data-title="Modulu:Math" data-language-autonym="Euskara" data-language-local-name="Tiếng Basque" class="interlanguage-link-target">Euskara</a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%BE%D9%88%D8%AF%D9%85%D8%A7%D9%86:Math" title="پودمان:Math – Tiếng Ba Tư" lang="fa" hreflang="fa" data-title="پودمان:Math" data-language-autonym="فارسی" data-language-local-name="Tiếng Ba Tư" class="interlanguage-link-target">فارسی</a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Faroe" lang="fo" hreflang="fo" data-title="Module:Math" data-language-autonym="Føroyskt" data-language-local-name="Tiếng Faroe" class="interlanguage-link-target">Føroyskt</a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Pháp" lang="fr" hreflang="fr" data-title="Module:Math" data-language-autonym="Français" data-language-local-name="Tiếng Pháp" class="interlanguage-link-target">Français</a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Ireland" lang="ga" hreflang="ga" data-title="Module:Math" data-language-autonym="Gaeilge" data-language-local-name="Tiếng Ireland" class="interlanguage-link-target">Gaeilge</a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/M%C3%B2ideal:Math" title="Mòideal:Math – Tiếng Gael Scotland" lang="gd" hreflang="gd" data-title="Mòideal:Math" data-language-autonym="Gàidhlig" data-language-local-name="Tiếng Gael Scotland" class="interlanguage-link-target">Gàidhlig</a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Tiếng Galician" lang="gl" hreflang="gl" data-title="Módulo:Math" data-language-autonym="Galego" data-language-local-name="Tiếng Galician" class="interlanguage-link-target">Galego</a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Ingush" lang="inh" hreflang="inh" data-title="Модуль:Math" data-language-autonym="ГӀалгӀай" data-language-local-name="Tiếng Ingush" class="interlanguage-link-target">ГӀалгӀай</a></li><li class="interlanguage-link interwiki-glk mw-list-item"><a href="https://glk.wikipedia.org/wiki/%D9%85%D8%A7%D8%AC%DB%8A%D9%84:Math" title="ماجۊل:Math – Tiếng Gilaki" lang="glk" hreflang="glk" data-title="ماجۊل:Math" data-language-autonym="گیلکی" data-language-local-name="Tiếng Gilaki" class="interlanguage-link-target">گیلکی</a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B5%E0%AA%BF%E0%AA%AD%E0%AA%BE%E0%AA%97:Math" title="વિભાગ:Math – Tiếng Gujarati" lang="gu" hreflang="gu" data-title="વિભાગ:Math" data-language-autonym="ગુજરાતી" data-language-local-name="Tiếng Gujarati" class="interlanguage-link-target">ગુજરાતી</a></li><li class="interlanguage-link interwiki-gom mw-list-item"><a href="https://gom.wikipedia.org/wiki/%E0%A4%8F%E0%A4%95%E0%A4%95:Math" title="एकक:Math – Tiếng Goan Konkani" lang="gom" hreflang="gom" data-title="एकक:Math" data-language-autonym="गोंयची कोंकणी / Gõychi Konknni" data-language-local-name="Tiếng Goan Konkani" class="interlanguage-link-target">गोंयची कोंकणी / Gõychi Konknni</a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Tiếng Khách Gia" lang="hak" hreflang="hak" data-title="模組:Math" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Tiếng Khách Gia" class="interlanguage-link-target">客家語 / Hak-kâ-ngî</a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%AA%A8%EB%93%88:Math" title="모듈:Math – Tiếng Hàn" lang="ko" hreflang="ko" data-title="모듈:Math" data-language-autonym="한국어" data-language-local-name="Tiếng Hàn" class="interlanguage-link-target">한국어</a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Hausa" lang="ha" hreflang="ha" data-title="Module:Math" data-language-autonym="Hausa" data-language-local-name="Tiếng Hausa" class="interlanguage-link-target">Hausa</a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Hawaii" lang="haw" hreflang="haw" data-title="Module:Math" data-language-autonym="Hawaiʻi" data-language-local-name="Tiếng Hawaii" class="interlanguage-link-target">Hawaiʻi</a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%B8%D5%A4%D5%B8%D6%82%D5%AC:Math" title="Մոդուլ:Math – Tiếng Armenia" lang="hy" hreflang="hy" data-title="Մոդուլ:Math" data-language-autonym="Հայերեն" data-language-local-name="Tiếng Armenia" class="interlanguage-link-target">Հայերեն</a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AE%E0%A5%89%E0%A4%A1%E0%A5%8D%E0%A4%AF%E0%A5%82%E0%A4%B2:Math" title="मॉड्यूल:Math – Tiếng Hindi" lang="hi" hreflang="hi" data-title="मॉड्यूल:Math" data-language-autonym="हिन्दी" data-language-local-name="Tiếng Hindi" class="interlanguage-link-target">हिन्दी</a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Croatia" lang="hr" hreflang="hr" data-title="Modul:Math" data-language-autonym="Hrvatski" data-language-local-name="Tiếng Croatia" class="interlanguage-link-target">Hrvatski</a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Igbo" lang="ig" hreflang="ig" data-title="Module:Math" data-language-autonym="Igbo" data-language-local-name="Tiếng Igbo" class="interlanguage-link-target">Igbo</a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Tiếng Iloko" lang="ilo" hreflang="ilo" data-title="Modulo:Math" data-language-autonym="Ilokano" data-language-local-name="Tiếng Iloko" class="interlanguage-link-target">Ilokano</a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Ossetic" lang="os" hreflang="os" data-title="Модуль:Math" data-language-autonym="Ирон" data-language-local-name="Tiếng Ossetic" class="interlanguage-link-target">Ирон</a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Xhosa" lang="xh" hreflang="xh" data-title="Module:Math" data-language-autonym="IsiXhosa" data-language-local-name="Tiếng Xhosa" class="interlanguage-link-target">IsiXhosa</a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Zulu" lang="zu" hreflang="zu" data-title="Module:Math" data-language-autonym="IsiZulu" data-language-local-name="Tiếng Zulu" class="interlanguage-link-target">IsiZulu</a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Iceland" lang="is" hreflang="is" data-title="Module:Math" data-language-autonym="Íslenska" data-language-local-name="Tiếng Iceland" class="interlanguage-link-target">Íslenska</a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Tiếng Italy" lang="it" hreflang="it" data-title="Modulo:Math" data-language-autonym="Italiano" data-language-local-name="Tiếng Italy" class="interlanguage-link-target">Italiano</a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%99%D7%97%D7%99%D7%93%D7%94:Math" title="יחידה:Math – Tiếng Do Thái" lang="he" hreflang="he" data-title="יחידה:Math" data-language-autonym="עברית" data-language-local-name="Tiếng Do Thái" class="interlanguage-link-target">עברית</a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Modhul:Math" title="Modhul:Math – Tiếng Java" lang="jv" hreflang="jv" data-title="Modhul:Math" data-language-autonym="Jawa" data-language-local-name="Tiếng Java" class="interlanguage-link-target">Jawa</a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AE%E0%B2%BE%E0%B2%A1%E0%B3%8D%E0%B2%AF%E0%B3%82%E0%B2%B2%E0%B3%8D:Math" title="ಮಾಡ್ಯೂಲ್:Math – Tiếng Kannada" lang="kn" hreflang="kn" data-title="ಮಾಡ್ಯೂಲ್:Math" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Tiếng Kannada" class="interlanguage-link-target">ಕನ್ನಡ</a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%9D%E1%83%93%E1%83%A3%E1%83%9A%E1%83%98:Math" title="მოდული:Math – Tiếng Georgia" lang="ka" hreflang="ka" data-title="მოდული:Math" data-language-autonym="ქართული" data-language-local-name="Tiếng Georgia" class="interlanguage-link-target">ქართული</a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Kazakh" lang="kk" hreflang="kk" data-title="Module:Math" data-language-autonym="Қазақша" data-language-local-name="Tiếng Kazakh" class="interlanguage-link-target">Қазақша</a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Kyrgyz" lang="ky" hreflang="ky" data-title="Модуль:Math" data-language-autonym="Кыргызча" data-language-local-name="Tiếng Kyrgyz" class="interlanguage-link-target">Кыргызча</a></li><li class="interlanguage-link interwiki-rn mw-list-item"><a href="https://rn.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Rundi" lang="rn" hreflang="rn" data-title="Module:Math" data-language-autonym="Ikirundi" data-language-local-name="Tiếng Rundi" class="interlanguage-link-target">Ikirundi</a></li><li class="interlanguage-link interwiki-kg mw-list-item"><a href="https://kg.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Kongo" lang="kg" hreflang="kg" data-title="Module:Math" data-language-autonym="Kongo" data-language-local-name="Tiếng Kongo" class="interlanguage-link-target">Kongo</a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Haiti" lang="ht" hreflang="ht" data-title="Module:Math" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Tiếng Haiti" class="interlanguage-link-target">Kreyòl ayisyen</a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Kurd" lang="ku" hreflang="ku" data-title="Modul:Math" data-language-autonym="Kurdî" data-language-local-name="Tiếng Kurd" class="interlanguage-link-target">Kurdî</a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Lào" lang="lo" hreflang="lo" data-title="Module:Math" data-language-autonym="ລາວ" data-language-local-name="Tiếng Lào" class="interlanguage-link-target">ລາວ</a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Modulus:Math" title="Modulus:Math – Tiếng La-tinh" lang="la" hreflang="la" data-title="Modulus:Math" data-language-autonym="Latina" data-language-local-name="Tiếng La-tinh" class="interlanguage-link-target">Latina</a></li><li class="interlanguage-link interwiki-ltg mw-list-item"><a href="https://ltg.wikipedia.org/wiki/Modulis:Math" title="Modulis:Math – Latgalian" lang="ltg" hreflang="ltg" data-title="Modulis:Math" data-language-autonym="Latgaļu" data-language-local-name="Latgalian" class="interlanguage-link-target">Latgaļu</a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Modulis:Math" title="Modulis:Math – Tiếng Latvia" lang="lv" hreflang="lv" data-title="Modulis:Math" data-language-autonym="Latviešu" data-language-local-name="Tiếng Latvia" class="interlanguage-link-target">Latviešu</a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Luxembourg" lang="lb" hreflang="lb" data-title="Modul:Math" data-language-autonym="Lëtzebuergesch" data-language-local-name="Tiếng Luxembourg" class="interlanguage-link-target">Lëtzebuergesch</a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Lezghian" lang="lez" hreflang="lez" data-title="Модуль:Math" data-language-autonym="Лезги" data-language-local-name="Tiếng Lezghian" class="interlanguage-link-target">Лезги</a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Litva" lang="lt" hreflang="lt" data-title="Module:Math" data-language-autonym="Lietuvių" data-language-local-name="Tiếng Litva" class="interlanguage-link-target">Lietuvių</a></li><li class="interlanguage-link interwiki-nia mw-list-item"><a href="https://nia.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Nias" lang="nia" hreflang="nia" data-title="Modul:Math" data-language-autonym="Li Niha" data-language-local-name="Tiếng Nias" class="interlanguage-link-target">Li Niha</a></li><li class="interlanguage-link interwiki-olo mw-list-item"><a href="https://olo.wikipedia.org/wiki/Moduuli:Math" title="Moduuli:Math – Livvi-Karelian" lang="olo" hreflang="olo" data-title="Moduuli:Math" data-language-autonym="Livvinkarjala" data-language-local-name="Livvi-Karelian" class="interlanguage-link-target">Livvinkarjala</a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Hungary" lang="hu" hreflang="hu" data-title="Modul:Math" data-language-autonym="Magyar" data-language-local-name="Tiếng Hungary" class="interlanguage-link-target">Magyar</a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%AE%E0%A5%8B%E0%A4%A1%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%B2:Math" title="मोड्युल:Math – Tiếng Maithili" lang="mai" hreflang="mai" data-title="मोड्युल:Math" data-language-autonym="मैथिली" data-language-local-name="Tiếng Maithili" class="interlanguage-link-target">मैथिली</a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Tiếng Macedonia" lang="mk" hreflang="mk" data-title="Модул:Math" data-language-autonym="Македонски" data-language-local-name="Tiếng Macedonia" class="interlanguage-link-target">Македонски</a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%98%E0%B4%9F%E0%B4%95%E0%B4%82:Math" title="ഘടകം:Math – Tiếng Malayalam" lang="ml" hreflang="ml" data-title="ഘടകം:Math" data-language-autonym="മലയാളം" data-language-local-name="Tiếng Malayalam" class="interlanguage-link-target">മലയാളം</a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%AD%E0%A4%BE%E0%A4%97:Math" title="विभाग:Math – Tiếng Marathi" lang="mr" hreflang="mr" data-title="विभाग:Math" data-language-autonym="मराठी" data-language-local-name="Tiếng Marathi" class="interlanguage-link-target">मराठी</a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="وحدة:Math – Tiếng Ả Rập Ai Cập" lang="arz" hreflang="arz" data-title="وحدة:Math" data-language-autonym="مصرى" data-language-local-name="Tiếng Ả Rập Ai Cập" class="interlanguage-link-target">مصرى</a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D9%85%D8%A7%DA%98%D9%88%D9%84:Math" title="ماژول:Math – Tiếng Mazanderani" lang="mzn" hreflang="mzn" data-title="ماژول:Math" data-language-autonym="مازِرونی" data-language-local-name="Tiếng Mazanderani" class="interlanguage-link-target">مازِرونی</a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Minangkabau" lang="min" hreflang="min" data-title="Modul:Math" data-language-autonym="Minangkabau" data-language-local-name="Tiếng Minangkabau" class="interlanguage-link-target">Minangkabau</a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Mindong" lang="cdo" hreflang="cdo" data-title="模組:Math" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target">閩東語 / Mìng-dĕ̤ng-ngṳ̄</a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Tiếng Miranda" lang="mwl" hreflang="mwl" data-title="Módulo:Math" data-language-autonym="Mirandés" data-language-local-name="Tiếng Miranda" class="interlanguage-link-target">Mirandés</a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Moksha" lang="mdf" hreflang="mdf" data-title="Модуль:Math" data-language-autonym="Мокшень" data-language-local-name="Tiếng Moksha" class="interlanguage-link-target">Мокшень</a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%99%E1%80%B1%E1%80%AC%E1%80%BA%E1%80%82%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="မော်ဂျူး:Math – Tiếng Miến Điện" lang="my" hreflang="my" data-title="မော်ဂျူး:Math" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Tiếng Miến Điện" class="interlanguage-link-target">မြန်မာဘာသာ</a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Fiji" lang="fj" hreflang="fj" data-title="Module:Math" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="Tiếng Fiji" class="interlanguage-link-target">Na Vosa Vakaviti</a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Hà Lan" lang="nl" hreflang="nl" data-title="Module:Math" data-language-autonym="Nederlands" data-language-local-name="Tiếng Hà Lan" class="interlanguage-link-target">Nederlands</a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AE%E0%A5%8B%E0%A4%A1%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%B2:Math" title="मोड्युल:Math – Tiếng Nepal" lang="ne" hreflang="ne" data-title="मोड्युल:Math" data-language-autonym="नेपाली" data-language-local-name="Tiếng Nepal" class="interlanguage-link-target">नेपाली</a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Newari" lang="new" hreflang="new" data-title="Module:Math" data-language-autonym="नेपाल भाषा" data-language-local-name="Tiếng Newari" class="interlanguage-link-target">नेपाल भाषा</a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%A2%E3%82%B8%E3%83%A5%E3%83%BC%E3%83%AB:Math" title="モジュール:Math – Tiếng Nhật" lang="ja" hreflang="ja" data-title="モジュール:Math" data-language-autonym="日本語" data-language-local-name="Tiếng Nhật" class="interlanguage-link-target">日本語</a></li><li class="interlanguage-link interwiki-nqo mw-list-item"><a href="https://nqo.wikipedia.org/wiki/%DF%97%DF%8B%DF%AC%DF%9E%DF%99%DF%8A%DF%9E%DF%8F:Math" title="ߗߋ߬ߞߙߊߞߏ:Math – Tiếng N’Ko" lang="nqo" hreflang="nqo" data-title="ߗߋ߬ߞߙߊߞߏ:Math" data-language-autonym="ߒߞߏ" data-language-local-name="Tiếng N’Ko" class="interlanguage-link-target">ߒߞߏ</a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Chechen" lang="ce" hreflang="ce" data-title="Модуль:Math" data-language-autonym="Нохчийн" data-language-local-name="Tiếng Chechen" class="interlanguage-link-target">Нохчийн</a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Frisia Miền Bắc" lang="frr" hreflang="frr" data-title="Modul:Math" data-language-autonym="Nordfriisk" data-language-local-name="Tiếng Frisia Miền Bắc" class="interlanguage-link-target">Nordfriisk</a></li><li class="interlanguage-link interwiki-pih mw-list-item"><a href="https://pih.wikipedia.org/wiki/Module:Math" title="Module:Math – Norfuk / Pitkern" lang="pih" hreflang="pih" data-title="Module:Math" data-language-autonym="Norfuk / Pitkern" data-language-local-name="Norfuk / Pitkern" class="interlanguage-link-target">Norfuk / Pitkern</a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Na Uy (Bokmål)" lang="nb" hreflang="nb" data-title="Modul:Math" data-language-autonym="Norsk bokmål" data-language-local-name="Tiếng Na Uy (Bokmål)" class="interlanguage-link-target">Norsk bokmål</a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Na Uy (Nynorsk)" lang="nn" hreflang="nn" data-title="Modul:Math" data-language-autonym="Norsk nynorsk" data-language-local-name="Tiếng Na Uy (Nynorsk)" class="interlanguage-link-target">Norsk nynorsk</a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/M%C3%B2dul:Math" title="Mòdul:Math – Tiếng Occitan" lang="oc" hreflang="oc" data-title="Mòdul:Math" data-language-autonym="Occitan" data-language-local-name="Tiếng Occitan" class="interlanguage-link-target">Occitan</a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%AE%E0%AC%A1%E0%AD%8D%E0%AD%9F%E0%AD%81%E0%AC%B2:Math" title="ମଡ୍ୟୁଲ:Math – Tiếng Odia" lang="or" hreflang="or" data-title="ମଡ୍ୟୁଲ:Math" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="Tiếng Odia" class="interlanguage-link-target">ଓଡ଼ିଆ</a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Uzbek" lang="uz" hreflang="uz" data-title="Modul:Math" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Tiếng Uzbek" class="interlanguage-link-target">Oʻzbekcha / ўзбекча</a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AE%E0%A9%8C%E0%A8%A1%E0%A8%BF%E0%A8%8A%E0%A8%B2:Math" title="ਮੌਡਿਊਲ:Math – Tiếng Punjab" lang="pa" hreflang="pa" data-title="ਮੌਡਿਊਲ:Math" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Tiếng Punjab" class="interlanguage-link-target">ਪੰਜਾਬੀ</a></li><li class="interlanguage-link interwiki-pag mw-list-item"><a href="https://pag.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Pangasinan" lang="pag" hreflang="pag" data-title="Module:Math" data-language-autonym="Pangasinan" data-language-local-name="Tiếng Pangasinan" class="interlanguage-link-target">Pangasinan</a></li><li class="interlanguage-link interwiki-blk mw-list-item"><a href="https://blk.wikipedia.org/wiki/%E1%80%99%E1%80%B1%E1%80%AC%E1%80%BA%E1%80%82%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="မော်ဂျူး:Math – Pa'O" lang="blk" hreflang="blk" data-title="မော်ဂျူး:Math" data-language-autonym="ပအိုဝ်ႏဘာႏသာႏ" data-language-local-name="Pa'O" class="interlanguage-link-target">ပအိုဝ်ႏဘာႏသာႏ</a></li><li class="interlanguage-link interwiki-pap mw-list-item"><a href="https://pap.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Papiamento" lang="pap" hreflang="pap" data-title="Module:Math" data-language-autonym="Papiamentu" data-language-local-name="Tiếng Papiamento" class="interlanguage-link-target">Papiamentu</a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Pashto" lang="ps" hreflang="ps" data-title="Module:Math" data-language-autonym="پښتو" data-language-local-name="Tiếng Pashto" class="interlanguage-link-target">پښتو</a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Anh Jamaica Creole" lang="jam" hreflang="jam" data-title="Module:Math" data-language-autonym="Patois" data-language-local-name="Tiếng Anh Jamaica Creole" class="interlanguage-link-target">Patois</a></li><li class="interlanguage-link interwiki-shn mw-list-item"><a href="https://shn.wikipedia.org/wiki/%E1%80%99%E1%80%B1%E1%82%83%E1%82%87%E1%81%B5%E1%80%BB%E1%80%B0%E1%80%B8:Math" title="မေႃႇၵျူး:Math – Tiếng Shan" lang="shn" hreflang="shn" data-title="မေႃႇၵျူး:Math" data-language-autonym="ၽႃႇသႃႇတႆး " data-language-local-name="Tiếng Shan" class="interlanguage-link-target">ၽႃႇသႃႇတႆး </a></li><li class="interlanguage-link interwiki-mnw mw-list-item"><a href="https://mnw.wikipedia.org/wiki/%E1%80%99%E1%80%9D%E1%80%BA%E1%80%82%E1%80%BB%E1%80%B0:Math" title="မဝ်ဂျူ:Math – Mon" lang="mnw" hreflang="mnw" data-title="မဝ်ဂျူ:Math" data-language-autonym="ဘာသာမန်" data-language-local-name="Mon" class="interlanguage-link-target">ဘာသာမန်</a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Modu%C5%82:Math" title="Moduł:Math – Tiếng Ba Lan" lang="pl" hreflang="pl" data-title="Moduł:Math" data-language-autonym="Polski" data-language-local-name="Tiếng Ba Lan" class="interlanguage-link-target">Polski</a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Tiếng Bồ Đào Nha" lang="pt" hreflang="pt" data-title="Módulo:Math" data-language-autonym="Português" data-language-local-name="Tiếng Bồ Đào Nha" class="interlanguage-link-target">Português</a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Module:Math" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Tiếng Kara-Kalpak" class="interlanguage-link-target">Qaraqalpaqsha</a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Thổ Nhĩ Kỳ Crimean" lang="crh" hreflang="crh" data-title="Modul:Math" data-language-autonym="Qırımtatarca" data-language-local-name="Tiếng Thổ Nhĩ Kỳ Crimean" class="interlanguage-link-target">Qırımtatarca</a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Modul:Matematic%C4%83" title="Modul:Matematică – Tiếng Romania" lang="ro" hreflang="ro" data-title="Modul:Matematică" data-language-autonym="Română" data-language-local-name="Tiếng Romania" class="interlanguage-link-target">Română</a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Nga" lang="ru" hreflang="ru" data-title="Модуль:Math" data-language-autonym="Русский" data-language-local-name="Tiếng Nga" class="interlanguage-link-target">Русский</a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Sakha" lang="sah" hreflang="sah" data-title="Модуль:Math" data-language-autonym="Саха тыла" data-language-local-name="Tiếng Sakha" class="interlanguage-link-target">Саха тыла</a></li><li class="interlanguage-link interwiki-szy mw-list-item"><a href="https://szy.wikipedia.org/wiki/bacu-saupu:Math" title="bacu-saupu:Math – Sakizaya" lang="szy" hreflang="szy" data-title="bacu-saupu:Math" data-language-autonym="Sakizaya" data-language-local-name="Sakizaya" class="interlanguage-link-target">Sakizaya</a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%AA%E0%A4%9F%E0%A4%B2%E0%A4%AE%E0%A5%8D:Math" title="पटलम्:Math – Tiếng Phạn" lang="sa" hreflang="sa" data-title="पटलम्:Math" data-language-autonym="संस्कृतम्" data-language-local-name="Tiếng Phạn" class="interlanguage-link-target">संस्कृतम्</a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%A2%E1%B1%B3%E1%B1%B0%E1%B1%A9%E1%B1%9E:Math" title="ᱢᱳᱰᱩᱞ:Math – Tiếng Santali" lang="sat" hreflang="sat" data-title="ᱢᱳᱰᱩᱞ:Math" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="Tiếng Santali" class="interlanguage-link-target">ᱥᱟᱱᱛᱟᱲᱤ</a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Scots" lang="sco" hreflang="sco" data-title="Module:Math" data-language-autonym="Scots" data-language-local-name="Tiếng Scots" class="interlanguage-link-target">Scots</a></li><li class="interlanguage-link interwiki-tn mw-list-item"><a href="https://tn.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Tswana" lang="tn" hreflang="tn" data-title="Module:Math" data-language-autonym="Setswana" data-language-local-name="Tiếng Tswana" class="interlanguage-link-target">Setswana</a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Sinhala" lang="si" hreflang="si" data-title="Module:Math" data-language-autonym="සිංහල" data-language-local-name="Tiếng Sinhala" class="interlanguage-link-target">සිංහල</a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Module:Math" title="Module:Math – Simple English" lang="en-simple" hreflang="en-simple" data-title="Module:Math" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target">Simple English</a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D9%85%D8%A7%DA%8A%D9%8A%D9%88%D9%84:Math" title="ماڊيول:Math – Tiếng Sindhi" lang="sd" hreflang="sd" data-title="ماڊيول:Math" data-language-autonym="سنڌي" data-language-local-name="Tiếng Sindhi" class="interlanguage-link-target">سنڌي</a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Slovak" lang="sk" hreflang="sk" data-title="Modul:Math" data-language-autonym="Slovenčina" data-language-local-name="Tiếng Slovak" class="interlanguage-link-target">Slovenčina</a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Slovenia" lang="sl" hreflang="sl" data-title="Modul:Math" data-language-autonym="Slovenščina" data-language-local-name="Tiếng Slovenia" class="interlanguage-link-target">Slovenščina</a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Somali" lang="so" hreflang="so" data-title="Module:Math" data-language-autonym="Soomaaliga" data-language-local-name="Tiếng Somali" class="interlanguage-link-target">Soomaaliga</a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%DB%86%D8%AF%DB%8C%D9%88%D9%88%D9%84:Math" title="مۆدیوول:Math – Tiếng Kurd Miền Trung" lang="ckb" hreflang="ckb" data-title="مۆدیوول:Math" data-language-autonym="کوردی" data-language-local-name="Tiếng Kurd Miền Trung" class="interlanguage-link-target">کوردی</a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Tiếng Serbia" lang="sr" hreflang="sr" data-title="Модул:Math" data-language-autonym="Српски / srpski" data-language-local-name="Tiếng Serbia" class="interlanguage-link-target">Српски / srpski</a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Serbo-Croatia" lang="sh" hreflang="sh" data-title="Modul:Math" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Tiếng Serbo-Croatia" class="interlanguage-link-target">Srpskohrvatski / српскохрватски</a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Moduuli:Math" title="Moduuli:Math – Tiếng Phần Lan" lang="fi" hreflang="fi" data-title="Moduuli:Math" data-language-autonym="Suomi" data-language-local-name="Tiếng Phần Lan" class="interlanguage-link-target">Suomi</a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Tiếng Thụy Điển" lang="sv" hreflang="sv" data-title="Modul:Math" data-language-autonym="Svenska" data-language-local-name="Tiếng Thụy Điển" class="interlanguage-link-target">Svenska</a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Tagalog" lang="tl" hreflang="tl" data-title="Module:Math" data-language-autonym="Tagalog" data-language-local-name="Tiếng Tagalog" class="interlanguage-link-target">Tagalog</a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Tamil" lang="ta" hreflang="ta" data-title="Module:Math" data-language-autonym="தமிழ்" data-language-local-name="Tiếng Tamil" class="interlanguage-link-target">தமிழ்</a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Kabyle" lang="kab" hreflang="kab" data-title="Module:Math" data-language-autonym="Taqbaylit" data-language-local-name="Tiếng Kabyle" class="interlanguage-link-target">Taqbaylit</a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Tatar" lang="tt" hreflang="tt" data-title="Модуль:Math" data-language-autonym="Татарча / tatarça" data-language-local-name="Tiếng Tatar" class="interlanguage-link-target">Татарча / tatarça</a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AE%E0%B0%BE%E0%B0%A1%E0%B1%8D%E0%B0%AF%E0%B1%82%E0%B0%B2%E0%B1%8D:Math" title="మాడ్యూల్:Math – Tiếng Telugu" lang="te" hreflang="te" data-title="మాడ్యూల్:Math" data-language-autonym="తెలుగు" data-language-local-name="Tiếng Telugu" class="interlanguage-link-target">తెలుగు</a></li><li class="interlanguage-link interwiki-din mw-list-item"><a href="https://din.wikipedia.org/wiki/Muk%C3%A4%C3%A4c%C3%ABt%C3%B6k:Math" title="Mukääcëtök:Math – Tiếng Dinka" lang="din" hreflang="din" data-title="Mukääcëtök:Math" data-language-autonym="Thuɔŋjäŋ" data-language-local-name="Tiếng Dinka" class="interlanguage-link-target">Thuɔŋjäŋ</a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A1%E0%B8%AD%E0%B8%94%E0%B8%B9%E0%B8%A5:Math" title="มอดูล:Math – Tiếng Thái" lang="th" hreflang="th" data-title="มอดูล:Math" data-language-autonym="ไทย" data-language-local-name="Tiếng Thái" class="interlanguage-link-target">ไทย</a></li><li class="interlanguage-link interwiki-ti mw-list-item"><a href="https://ti.wikipedia.org/wiki/%E1%88%9E%E1%8B%B5%E1%8B%A9%E1%88%8D:Math" title="ሞድዩል:Math – Tiếng Tigrinya" lang="ti" hreflang="ti" data-title="ሞድዩል:Math" data-language-autonym="ትግርኛ" data-language-local-name="Tiếng Tigrinya" class="interlanguage-link-target">ትግርኛ</a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB:Math" title="Модул:Math – Tiếng Tajik" lang="tg" hreflang="tg" data-title="Модул:Math" data-language-autonym="Тоҷикӣ" data-language-local-name="Tiếng Tajik" class="interlanguage-link-target">Тоҷикӣ</a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Mod%C3%BCl:Math" title="Modül:Math – Tiếng Thổ Nhĩ Kỳ" lang="tr" hreflang="tr" data-title="Modül:Math" data-language-autonym="Türkçe" data-language-local-name="Tiếng Thổ Nhĩ Kỳ" class="interlanguage-link-target">Türkçe</a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Turkmen" lang="tk" hreflang="tk" data-title="Module:Math" data-language-autonym="Türkmençe" data-language-local-name="Tiếng Turkmen" class="interlanguage-link-target">Türkmençe</a></li><li class="interlanguage-link interwiki-kcg mw-list-item"><a href="https://kcg.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Tyap" lang="kcg" hreflang="kcg" data-title="Module:Math" data-language-autonym="Tyap" data-language-local-name="Tiếng Tyap" class="interlanguage-link-target">Tyap</a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Udmurt" lang="udm" hreflang="udm" data-title="Модуль:Math" data-language-autonym="Удмурт" data-language-local-name="Tiếng Udmurt" class="interlanguage-link-target">Удмурт</a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C:Math" title="Модуль:Math – Tiếng Ukraina" lang="uk" hreflang="uk" data-title="Модуль:Math" data-language-autonym="Українська" data-language-local-name="Tiếng Ukraina" class="interlanguage-link-target">Українська</a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%A7%DA%88%DB%8C%D9%88%D9%84:Math" title="ماڈیول:Math – Tiếng Urdu" lang="ur" hreflang="ur" data-title="ماڈیول:Math" data-language-autonym="اردو" data-language-local-name="Tiếng Urdu" class="interlanguage-link-target">اردو</a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Modulo:Math" title="Modulo:Math – Venetian" lang="vec" hreflang="vec" data-title="Modulo:Math" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target">Vèneto</a></li><li class="interlanguage-link interwiki-vo mw-list-item"><a href="https://vo.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Volapük" lang="vo" hreflang="vo" data-title="Module:Math" data-language-autonym="Volapük" data-language-local-name="Tiếng Volapük" class="interlanguage-link-target">Volapük</a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Literary Chinese" lang="lzh" hreflang="lzh" data-title="模組:Math" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target">文言</a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Waray" lang="war" hreflang="war" data-title="Module:Math" data-language-autonym="Winaray" data-language-local-name="Tiếng Waray" class="interlanguage-link-target">Winaray</a></li><li class="interlanguage-link interwiki-guc mw-list-item"><a href="https://guc.wikipedia.org/wiki/M%C3%B3dulo:Math" title="Módulo:Math – Wayuu" lang="guc" hreflang="guc" data-title="Módulo:Math" data-language-autonym="Wayuunaiki" data-language-local-name="Wayuu" class="interlanguage-link-target">Wayuunaiki</a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%A8%A1%E5%9D%97:Math" title="模块:Math – Tiếng Ngô" lang="wuu" hreflang="wuu" data-title="模块:Math" data-language-autonym="吴语" data-language-local-name="Tiếng Ngô" class="interlanguage-link-target">吴语</a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%99%D7%97%D7%99%D7%93%D7%94:Math" title="יחידה:Math – Tiếng Yiddish" lang="yi" hreflang="yi" data-title="יחידה:Math" data-language-autonym="ייִדיש" data-language-local-name="Tiếng Yiddish" class="interlanguage-link-target">ייִדיש</a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%A8%A1%E7%B5%84:Math" title="模組:Math – Tiếng Quảng Đông" lang="yue" hreflang="yue" data-title="模組:Math" data-language-autonym="粵語" data-language-local-name="Tiếng Quảng Đông" class="interlanguage-link-target">粵語</a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Modul:Math" title="Modul:Math – Zazaki" lang="diq" hreflang="diq" data-title="Modul:Math" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target">Zazaki</a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Module:Math" title="Module:Math – Samogitian" lang="sgs" hreflang="sgs" data-title="Module:Math" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target">Žemaitėška</a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Module:Math" title="Module:Math – Tiếng Trung" lang="zh" hreflang="zh" data-title="Module:Math" data-language-autonym="中文" data-language-local-name="Tiếng Trung" class="interlanguage-link-target">中文</a></li><li class="interlanguage-link interwiki-tdd mw-list-item"><a href="https://tdd.wikipedia.org/wiki/%E1%A5%9B%E1%A5%A8%E1%A5%9D%E1%A5%B1_%E1%A5%93%E1%A5%A7%E1%A5%B0:Math" title="ᥛᥨᥝᥱ ᥓᥧᥰ:Math – Tai Nuea" lang="tdd" hreflang="tdd" data-title="ᥛᥨᥝᥱ ᥓᥧᥰ:Math" data-language-autonym="ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ" data-language-local-name="Tai Nuea" class="interlanguage-link-target">ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ</a></li> </ul> <div class="after-portlet 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<div class="documentation"> <div class="documentation-startbox"> <img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/50px-Test_Template_Info-Icon_-_Version_%282%29.svg.png" decoding="async" width="50" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/75px-Test_Template_Info-Icon_-_Version_%282%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/Test_Template_Info-Icon_-_Version_%282%29.svg/100px-Test_Template_Info-Icon_-_Version_%282%29.svg.png 2x" data-file-width="1792" data-file-height="800" /> Tài liệu mô đun[<a href="/wiki/M%C3%B4_%C4%91un:Math/t%C3%A0i_li%E1%BB%87u" title="Mô đun:Math/tài liệu">xem</a>] [<a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:EditPage/M%C3%B4_%C4%91un:Math/t%C3%A0i_li%E1%BB%87u" title="Đặc biệt:EditPage/Mô đun:Math/tài liệu">sửa</a>] [<a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:PageHistory/M%C3%B4_%C4%91un:Math/t%C3%A0i_li%E1%BB%87u" title="Đặc biệt:PageHistory/Mô đun:Math/tài liệu">lịch sử</a>] [<a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:Purge/M%C3%B4_%C4%91un:Math" title="Đặc biệt:Purge/Mô đun:Math">làm mới</a>]</div> <div role="note" class="hatnote navigation-not-searchable">Đối với formatting mathematical expressions, LATEX-style, xem <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Math" title="Bản mẫu:Math">Template:Math</a>.</div> <table class="plainlinks ombox ombox-content" role="presentation"><tbody><tr><td class="mbox-image"><img alt="Chú ý" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Ambox_warning_orange.svg/40px-Ambox_warning_orange.svg.png" decoding="async" width="40" height="34" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Ambox_warning_orange.svg/60px-Ambox_warning_orange.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5f/Ambox_warning_orange.svg/80px-Ambox_warning_orange.svg.png 2x" data-file-width="378" data-file-height="326" /></td><td class="mbox-text">Mô đun Lua này được sử dụng ở <a class="external text" href="https://linkcount.toolforge.org/index.php?project=vi.wikipedia.org&page=M%C3%B4+%C4%91un%3AMath">217.000+ trang</a>. Để tránh gây lỗi trên quy mô lớn và <a href="https://www.mediawiki.org/wiki/Manual:Job_queue" class="extiw" title="mw:Manual:Job queue">tải máy chủ</a> không cần thiết, tất cả thay đổi cần được thử nghiệm ở trang con <a href="/wiki/M%C3%B4_%C4%91un:Math/sandbox" title="Mô đun:Math/sandbox">/sandbox</a>, <a href="/wiki/M%C3%B4_%C4%91un:Math/testcases" title="Mô đun:Math/testcases">/testcases</a> của mô đun, hoặc ở <a href="/wiki/M%C3%B4_%C4%91un:Th%E1%BB%AD" title="Mô đun:Thử">chỗ thử mô đun</a>. Các thay đổi đã được thử nghiệm có thể thêm vào mô đun bằng một sửa đổi duy nhất. Xin hãy thảo luận các thay đổi tại <a href="/w/index.php?title=Th%E1%BA%A3o_lu%E1%BA%ADn_M%C3%B4_%C4%91un:Math&action=edit&redlink=1" class="new" title="Thảo luận Mô đun:Math (trang không tồn tại)">trang thảo luận</a> trước khi áp dụng sửa đổi.</td></tr></tbody></table> <table class="plainlinks ombox ombox-notice" role="presentation"><tbody><tr><td class="mbox-image"><img alt="Protected" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Full-protection-shackle-block.svg/40px-Full-protection-shackle-block.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Full-protection-shackle-block.svg/60px-Full-protection-shackle-block.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/12/Full-protection-shackle-block.svg/80px-Full-protection-shackle-block.svg.png 2x" data-file-width="512" data-file-height="512" /></td><td class="mbox-text">Mô-đun này là loại cần được khóa. Nó là một <a href="https://en.wikipedia.org/wiki/Wikipedia:High-risk_templates" class="extiw" title="en:Wikipedia:High-risk templates">mô-đun nhìn thấy rõ</a> được sử dụng bởi một số lượng lớn các trang, hoặc là các <a href="/wiki/Wikipedia:SUBST" class="mw-redirect" title="Wikipedia:SUBST">thay thế</a> rất thường xuyên. Bởi vì phá hoại hoặc lỗi sai khi sửa sẽ ảnh hưởng đến nhiều trang và thậm chí chỉnh sửa tầm thường có thể gây ra tải đáng kể cho các máy chủ, nó <a href="/wiki/Wikipedia:KHOA" class="mw-redirect" title="Wikipedia:KHOA">được khóa bảo vệ</a> hạn chế sửa đổi.</td></tr></tbody></table> This module provides a number of mathematical functions. These functions can be used from #invoke or from other Lua modules. <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Use_from_other_Lua_modules">Use from other Lua modules</h2></div> To use the module from normal wiki pages, no special preparation is needed. If you are using the module from another Lua module, first you need to load it, like this: <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>local mm = require('Module:Math') </pre></div> (The <code>mm</code> variable stands for Module Math; you can choose something more descriptive if you prefer.) Most functions in the module have a version for Lua and a version for #invoke. It is possible to use the #invoke functions from other Lua modules, but using the Lua functions has the advantage that you do not need to access a Lua <a href="https://www.mediawiki.org/wiki/Extension:Scribunto/Lua_reference_manual#Frame_object" class="extiw" title="mw:Extension:Scribunto/Lua reference manual">frame object</a>. Lua functions are preceded by <code>_</code>, whereas #invoke functions are not. <div class="mw-heading mw-heading2"><h2 id="random">random</h2></div> <div role="note" class="hatnote navigation-not-searchable">Xem thêm: <a href="/wiki/M%C3%B4_%C4%91un:Random" title="Mô đun:Random">Module:Random</a></div> <pre>{{#invoke:math|random}} {{#invoke:math|random|max_value}} {{#invoke:math|random|min_value|max_value}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._random() mm._random(max_value) mm._random(min_value, max_value) </pre></div> Generates a random number. <ul><li>If no arguments are specified, the number produced is greater than or equal to 0 and less than 1.</li> <li>If one argument is provided, the number produced is an integer between 1 and that argument. The argument must be a positive integer.</li> <li>If two arguments are provided, the number produced is an integer between the first and second arguments. Both arguments must be integers, but can be negative.</li></ul> This function will not work properly for numbers less than −232 and greater than 232 − 1. If you need to use numbers outside of this range, it is recommended that you use <a href="/wiki/M%C3%B4_%C4%91un:Random" title="Mô đun:Random">Module:Random</a>. <div class="mw-heading mw-heading2"><h2 id="order">order</h2></div> <pre>{{#invoke:math|order|n}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._order(n) </pre></div> Determines the <a href="/w/index.php?title=Order_of_magnitude&action=edit&redlink=1" class="new" title="Order of magnitude (trang không tồn tại)">order of magnitude</a> of a number. <div class="mw-heading mw-heading2"><h2 id="precision">precision</h2></div> <pre>{{#invoke:math|precision|n}} {{#invoke:math|precision|x=n}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._precision(number_string) </pre></div> Detemines the precision of a number. For example, for "4" it will return "0", for "4.567" it will return "3", and for "100" it will return "-2". The function attempts to parse the string representation of the number, and detects whether the number uses <a href="/w/index.php?title=Scientific_notation&action=edit&redlink=1" class="new" title="Scientific notation (trang không tồn tại)">E notation</a>. For this reason, when called from Lua, very large numbers or very precise numbers should be directly input as strings to get accurate results. If they are input as numbers, the Lua interpreter will change them to E notation and this function will return the precision of the E notation rather than that of the original number. This is not a problem when the number is called from #invoke, as all input from #invoke is in string format. <div class="mw-heading mw-heading2"><h2 id="max">max</h2></div> <pre>{{#invoke:math|max|v1|v2|v3|...}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._max(v1, v2, v3, ...) </pre></div> Returns the maximum value from the values specified. Values that cannot be converted to numbers are ignored. <div class="mw-heading mw-heading2"><h2 id="median">median</h2></div> <pre>{{#invoke:math|median|v1|v2|v3|...}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._median(v1, v2, v3, ...) </pre></div> Returns the <a href="/wiki/Median" class="mw-redirect" title="Median">median</a> value from the values specified. Values that cannot be converted to numbers are ignored. <div class="mw-heading mw-heading2"><h2 id="min">min</h2></div> <pre>{{#invoke:math|min|v1|v2|v3|...}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._min(v1, v2, v3, ...) </pre></div> Returns the minimum value from the values specified. Values that cannot be converted to numbers are ignored. <div class="mw-heading mw-heading2"><h2 id="sum">sum</h2></div> <pre>{{#invoke:math|sum|v1|v2|v3|...}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._sum(v1, v2, v3, ...) </pre></div> Returns the sum of the values specified. Values that cannot be converted to numbers are ignored. <div class="mw-heading mw-heading2"><h2 id="average">average</h2></div> <pre>{{#invoke:math|average|v1|v2|v3|...}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._average(v1, v2, v3, ...) </pre></div> Returns the average of the values specified. (More precisely, the value returned is the <a href="/w/index.php?title=Mean&action=edit&redlink=1" class="new" title="Mean (trang không tồn tại)">arithmetic mean</a>.) Values that cannot be converted to numbers are ignored. <div class="mw-heading mw-heading2"><h2 id="round">round</h2></div> <pre>{{#invoke:math|round|value|precision}} {{#invoke:math|round|value=value|precision=precision}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._round(value, precision) </pre></div> <a href="/w/index.php?title=Rounding&action=edit&redlink=1" class="new" title="Rounding (trang không tồn tại)">Rounds</a> a number to the specified precision[<a href="/wiki/Wikipedia:%C3%9D_b%E1%BA%A1n_l%C3%A0_g%C3%AC%3F" title="Wikipedia:Ý bạn là gì?">cần giải thích</a>]. Note: As of October 2019, there is a bug in the display of some rounded numbers. When trying to round a number that rounds to "n.0", like "1.02", to the nearest tenth of a digit (i.e. <code class="nowrap" style="">|r=1</code>), this function should display "1.0", but it unexpectedly displays "1". Use the <code class="nowrap" style="">|precision_format=</code> parameter instead. <div class="mw-heading mw-heading2"><h2 id="log10">log10</h2></div> <pre>{{#invoke:math | log10 | x}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._log10(x) </pre></div> Returns <code>log10(x)</code>, the <a href="/w/index.php?title=Logarithm&action=edit&redlink=1" class="new" title="Logarithm (trang không tồn tại)">logarithm</a> of x using base 10. <div class="mw-heading mw-heading2"><h2 id="mod">mod</h2></div> <pre>{{#invoke:math|mod|x|y}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._mod(x, y) </pre></div> Gets <code>x</code> <a href="/w/index.php?title=Modulo_operation&action=edit&redlink=1" class="new" title="Modulo operation (trang không tồn tại)">modulo</a> <code>y</code>, or the remainder after <code>x</code> has been divided by <code>y</code>. This is accurate for integers up to 253; for larger integers Lua's modulo operator may return an erroneous value. This function deals with this problem by returning <code>0</code> if the modulo given by Lua's modulo operator is less than 0 or greater than <code>y</code>. <div class="mw-heading mw-heading2"><h2 id="gcd">gcd</h2></div> <pre>{{#invoke:math|gcd|v1|v2|...}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._gcd(v1, v2, ...) </pre></div> Finds the <a href="/w/index.php?title=Greatest_common_divisor&action=edit&redlink=1" class="new" title="Greatest common divisor (trang không tồn tại)">greatest common divisor</a> of the values specified. Values that cannot be converted to numbers are ignored. <div class="mw-heading mw-heading2"><h2 id="precision_format">precision_format</h2></div> <pre>{{#invoke:math|precision_format|value_string|precision}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._precision_format(value_string, precision) </pre></div> Rounds a number to the specified precision and formats according to rules originally used for {{<a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Rnd" title="Bản mẫu:Rnd">Rnd</a>}}. Output is a string. Parameter <var>precision</var> should be an integer number of digits after the decimal point. Negative values are permitted. Non-integers give unexpected results. Positive values greater than the input precision add zero-padding, negative values greater than the input order can consume all digits. Formatting 8,765.567 with <code>{{#invoke:Math|precision_format|8765.567|<var>precision</var>}}</code> gives: <table class="wikitable"> <caption> </caption> <tbody><tr> <th><code><var>precision</var></code></th> <th>Result </th></tr> <tr> <td style="text-align:right">2</td> <td>8.765,57 </td></tr> <tr> <td style="text-align:right">-2</td> <td>8.800 </td></tr> <tr> <td style="text-align:right">6</td> <td>8.765,567000 </td></tr> <tr> <td style="text-align:right">-6</td> <td>0 </td></tr> <tr> <td style="text-align:right">2.5</td> <td>8.765,5680426633 </td></tr> <tr> <td style="text-align:right">-2.5</td> <td>8.854,3774484715 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="divide">divide</h2></div> <pre>{{#invoke:Math|divide|x|y|round=|precision=}} </pre> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>mm._divide(x, y, round, precision) </pre></div> Divide x by y. <ul><li>If y if not a number, it is returned.</li> <li>Otherwise, if x is not a number, it is returned.</li> <li>If round is true ("yes" for #invoke), the result has no decimals</li> <li>Precision indicates how many digits of precision the result should have</li></ul> If any of the arguments contain HTML tags, they are returned unchanged, allowing any errors in calculating the arguments to the division function to be propagated to the calling template. <div class="mw-heading mw-heading2"><h2 id="cleanNumber">cleanNumber</h2></div> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr" dir="ltr"><pre>local number, number_string = mm._cleanNumber(number_string) </pre></div> A helper function that can be called from other Lua modules, but not from #invoke. This takes a string or a number value as input, and if the value can be converted to a number, cleanNumber returns the number and the number string. If the value cannot be converted to a number, cleanNumber returns <code>nil, nil</code>. <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r70958518">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r70981351">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><style data-mw-deduplicate="TemplateStyles:r71573313">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="Bản_mẫu_toán_học" style="padding:3px"><table class="nowraplinks plainlist mw-collapsible expanded navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div class="plainlinks hlist navbar mini"><ul><li class="nv-xem"><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:B%E1%BA%A3n_m%E1%BA%ABu_to%C3%A1n_h%E1%BB%8Dc" title="Bản mẫu:Bản mẫu toán học"><abbr title="Xem bản mẫu này">x</abbr></a></li><li class="nv-thảo luận"><a href="/w/index.php?title=Th%E1%BA%A3o_lu%E1%BA%ADn_B%E1%BA%A3n_m%E1%BA%ABu:B%E1%BA%A3n_m%E1%BA%ABu_to%C3%A1n_h%E1%BB%8Dc&action=edit&redlink=1" class="new" title="Thảo luận Bản mẫu:Bản mẫu toán học (trang không tồn tại)"><abbr title="Thảo luận bản mẫu này">t</abbr></a></li><li class="nv-sửa"><a class="external text" href="https://vi.wikipedia.org/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:B%E1%BA%A3n_m%E1%BA%ABu_to%C3%A1n_h%E1%BB%8Dc&action=edit"><abbr title="Sửa bản mẫu này">s</abbr></a></li></ul></div><div id="Bản_mẫu_toán_học" style="font-size:114%;margin:0 4em">Bản mẫu toán học</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Hàm_sốHệ_thống_chữ_số" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li>Hàm số</li><li>Hệ thống chữ số</li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Hàm số</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:S%E1%BB%91_h%E1%BB%8Dc_s%C6%A1_c%E1%BA%A5p" title="Bản mẫu:Số học sơ cấp">elementary arithmetic</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:%C4%90%E1%BB%99_ch%C3%ADnh_x%C3%A1c" title="Bản mẫu:Độ chính xác">precision</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Precision1" title="Bản mẫu:Precision1">precision1</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Value" title="Bản mẫu:Value">value</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Hệ thống chữ số</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Base_36" class="mw-redirect" title="Bản mẫu:Base 36">base 36</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Binary" class="mw-redirect" title="Bản mẫu:Binary">binary</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Dec2hex&action=edit&redlink=1" class="new" title="Bản mẫu:Dec2hex (trang không tồn tại)">dec2hex</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Decimal2Base&action=edit&redlink=1" class="new" title="Bản mẫu:Decimal2Base (trang không tồn tại)">decimal2Base</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Duodecimal" class="mw-redirect" title="Bản mẫu:Duodecimal">duodecimal</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Hex2dec" title="Bản mẫu:Hex2dec">hex2dec</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Hexadecimal" class="mw-redirect" title="Bản mẫu:Hexadecimal">hexadecimal</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Octal" class="mw-redirect" title="Bản mẫu:Octal">octal</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Quaternary" class="mw-redirect" title="Bản mẫu:Quaternary">quaternary</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Quinary&action=edit&redlink=1" class="new" title="Bản mẫu:Quinary (trang không tồn tại)">quinary</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Rn" title="Bản mẫu:Rn">rn</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Roman" class="mw-redirect" title="Bản mẫu:Roman">roman</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Senary&action=edit&redlink=1" class="new" title="Bản mẫu:Senary (trang không tồn tại)">senary</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Ternary" class="mw-redirect" title="Bản mẫu:Ternary">ternary</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Vigesimal" class="mw-redirect" title="Bản mẫu:Vigesimal">vigesimal</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Chuyển_đổi" style="font-size:114%;margin:0 4em">Chuyển đổi</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"><table style="margin:0 auto 0;text-align:left;"><tbody><tr style="vertical-align:top"><td> <table style="padding-right:2.5em;"><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Bbl_to_t&action=edit&redlink=1" class="new" title="Bản mẫu:Bbl to t (trang không tồn tại)">bbl to t</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> thùng sang tấn</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Convert" title="Bản mẫu:Convert">convert</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Convert/scale&action=edit&redlink=1" class="new" title="Bản mẫu:Convert/scale (trang không tồn tại)">convert/scale</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> chuyển đổi các đơn vị liên quan tuyến tính</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Long_ton" title="Bản mẫu:Long ton">long ton</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> Tạ dài (Anh), góc tạ (Anh) và pound sang kilôgam; Tấn (Mỹ) và tạ dài sang pound và tấn hệ mét</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Convinfobox" title="Bản mẫu:Convinfobox">convinfobox</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> để sử dugnj trong hộp thông tin</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Decdeg" title="Bản mẫu:Decdeg">decdeg</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> độ, phút, và giây sang <a href="/w/index.php?title=%C4%90%E1%BB%99_th%E1%BA%ADp_ph%C3%A2n&action=edit&redlink=1" class="new" title="Độ thập phân (trang không tồn tại)">độ thập phân</a></td></tr></tbody></table></td><td> <table><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Hms2deg&action=edit&redlink=1" class="new" title="Bản mẫu:Hms2deg (trang không tồn tại)">hms2deg</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/G%C3%B3c_gi%E1%BB%9D" title="Góc giờ">góc giờ</a> (đơn vị là giờ, phút, giây) sang độ thập phân</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Deg2dms" class="mw-redirect" title="Bản mẫu:Deg2dms">deg2dms</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> độ thập phân sang độ, phút, giây</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Deg2hms" class="mw-redirect" title="Bản mẫu:Deg2hms">deg2hms</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> độ thập phân sang góc giờ (đơn vị là giờ, phút, giây)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Inflation" class="mw-redirect" title="Bản mẫu:Inflation">inflation</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> để tính mức lạm phát của giá cả liên quan tới <a href="/wiki/Ch%E1%BB%89_s%E1%BB%91_gi%C3%A1_ti%C3%AAu_d%C3%B9ng" title="Chỉ số giá tiêu dùng">Chỉ số giá tiêu dùng</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Miles-chains&action=edit&redlink=1" class="new" title="Bản mẫu:Miles-chains (trang không tồn tại)">miles-chains</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> dặm và chain sang kilômét</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Pop_density" class="mw-redirect" title="Bản mẫu:Pop density">pop density</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> mật độ dân số của một khu vực</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Track_gauge" title="Bản mẫu:Track gauge">track gauge</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> khoảng cách đường ray</td></tr></tbody></table></td></tr></tbody></table></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Ký_hiệu" style="font-size:114%;margin:0 4em">Ký hiệu</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"><table style="margin:0 auto 0;text-align:left;"><tbody><tr style="vertical-align:top"><td> <table style="padding-right:2.5em;"><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Bigmath" title="Bản mẫu:Bigmath">bigmath</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> for stand-alone formulas, using a bigger font to match <tt>\displaystyle</tt> PNG-rendered <a href="/wiki/TeX" title="TeX">TeX</a> formulas</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <div class="hlist"><ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Bra-ket&action=edit&redlink=1" class="new" title="Bản mẫu:Bra-ket (trang không tồn tại)">bra-ket</a></li><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Braket&action=edit&redlink=1" class="new" title="Bản mẫu:Braket (trang không tồn tại)">braket</a></li></ul></div> <div class="hlist"><ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Bra&action=edit&redlink=1" class="new" title="Bản mẫu:Bra (trang không tồn tại)">bra</a></li><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Ket&action=edit&redlink=1" class="new" title="Bản mẫu:Ket (trang không tồn tại)">ket</a></li></ul></div></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/K%C3%BD_hi%E1%BB%87u_bra-ket" title="Ký hiệu bra-ket">Ký hiệu bra-ket</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Ph%C3%A2n_s%E1%BB%91" title="Bản mẫu:Phân số">Phân số</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> tạo ra các phân số (not for use in science or mathematical articles; instead, use <code>{{<a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Sfrac" title="Bản mẫu:Sfrac">sfrac</a>}}</code>)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Intmath" title="Bản mẫu:Intmath">intmath</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/w/index.php?title=K%C3%BD_hi%E1%BB%87u_t%C3%ADch_ph%C3%A2n&action=edit&redlink=1" class="new" title="Ký hiệu tích phân (trang không tồn tại)">ký hiệu tích phân</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <div class="hlist"><ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Langle&action=edit&redlink=1" class="new" title="Bản mẫu:Langle (trang không tồn tại)">langle</a></li><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Rangle&action=edit&redlink=1" class="new" title="Bản mẫu:Rangle (trang không tồn tại)">rangle</a></li><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Ngo%E1%BA%B7c_nh%E1%BB%8Dn" title="Bản mẫu:Ngoặc nhọn">Ngoặc nhọn</a></li></ul></div></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> <a href="/wiki/D%E1%BA%A5u_ngo%E1%BA%B7c" title="Dấu ngoặc">ngoặc góc ⟨ ⟩</a></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <div class="hlist"><ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Ldelim&action=edit&redlink=1" class="new" title="Bản mẫu:Ldelim (trang không tồn tại)">ldelim</a></li><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Rdelim&action=edit&redlink=1" class="new" title="Bản mẫu:Rdelim (trang không tồn tại)">rdelim</a></li></ul></div></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> dấu phân tách nhiều dòng (2–5 dòng)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Math" title="Bản mẫu:Math">math</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> để hiện các công thức nội dòng, có được cỡ chữ và thích hợp hơn các công thức <a href="/wiki/TeX" title="TeX">TeX</a> <tt>\textstyle</tt> định dạng ảnh PNG (hoặc <tt>\scriptstyle</tt>)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Mathcal" title="Bản mẫu:Mathcal">mathcal</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> phông chữ viết tay [toán học] dùng trong các công thức toán, thay cho <tt>\mathcal{...}</tt> bằng <a href="/wiki/LaTeX" title="LaTeX">LaTeX</a></td></tr></tbody></table></td><td> <table><tbody><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Mvar" title="Bản mẫu:Mvar">mvar</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> một các để tạo văn bản dành cho các biến toán học rời rạc</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <div class="hlist"><ul><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Overset" title="Bản mẫu:Overset">overset</a></li><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Underset&action=edit&redlink=1" class="new" title="Bản mẫu:Underset (trang không tồn tại)">underset</a></li></ul></div></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> các ký tự/dấu phụ đặt bên trên/dưới một kí tự/dấu phụ khác</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Radic" title="Bản mẫu:Radic">radic</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Sfrac" title="Bản mẫu:Sfrac">sfrac</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> tạo ra các phân số (nên được các bài về khoa học hoặc toán học hơn là <code>{{<a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Ph%C3%A2n_s%E1%BB%91" title="Bản mẫu:Phân số">Phân số</a>}}</code>)</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Sqrt" title="Bản mẫu:Sqrt">sqrt</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <div class="hlist"><ul><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Su" title="Bản mẫu:Su">su</a></li><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Sub" title="Bản mẫu:Sub">sub</a></li><li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Sup" title="Bản mẫu:Sup">sup</a></li></ul></div></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"></td></tr><tr style="vertical-align:top"><td style="vertical-align:middle;text-align:right;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Tmath" title="Bản mẫu:Tmath">tmath</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> đưa một biểu thức toán học dạng <a href="/wiki/TeX" title="TeX">TeX</a> vào trong nhãn <math></td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Val" class="mw-redirect" title="Bản mẫu:Val">val</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> báo cáo các giá trị, sai số và đơn vị đo lường</td></tr><tr style="vertical-align:top"><td style="text-align:right;white-space:nowrap;padding-right:1.0em;"> <a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Vec&action=edit&redlink=1" class="new" title="Bản mẫu:Vec (trang không tồn tại)">vec</a></td><td style="font-size:90%; vertical-align:middle;line-height:1.3em;font-style:italic;"> các dấu véctơ trên, véctơ dưới, trỏ sang phải, trái hoặc cả hai chiều</td></tr></tbody></table></td></tr></tbody></table></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="HộpThẻThông_báo" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li>Hộp</li><li>Thẻ</li><li>Thông báo</li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;font-size:110%;"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0;background:transparent;color:inherit;"><div style="padding:0px;"><table cellspacing="0" class="navbox-columns-table" style="text-align:left;width:100%;"><tbody><tr><td class="navbox-abovebelow" colspan="1" style="font-weight:bold;">Hộp</td><td class="navbox-abovebelow" colspan="1" style="border-left:2px solid #fdfdfd;font-weight:bold;">Thẻ</td><td class="navbox-abovebelow" colspan="1" style="border-left:2px solid #fdfdfd;font-weight:bold;">Thông báo</td></tr><tr style="height:2px;"><td></td></tr><tr style="vertical-align:top;"><td style="padding:0px;text-align:center;;;;width:10em;"><div> <div class="hlist"> <ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Calculation_results&action=edit&redlink=1" class="new" title="Bản mẫu:Calculation results (trang không tồn tại)">calculation results</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Gi%E1%BA%A3i_t%C3%ADch" title="Bản mẫu:Giải tích">Giải tích</a></li> <li><a href="/wiki/B%E1%BA%A3n_m%E1%BA%ABu:Th%C3%B4ng_tin_h%C3%A0m_s%E1%BB%91_to%C3%A1n_h%E1%BB%8Dc" title="Bản mẫu:Thông tin hàm số toán học">Thông tin hàm số toán học</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Functions&action=edit&redlink=1" class="new" title="Bản mẫu:Functions (trang không tồn tại)">functions</a></li></ul> </div> </div></td><td style="border-left:2px solid #fdfdfd;padding:0px;text-align:center;;;;width:10em;"><div> <div class="hlist"> <ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Metricate&action=edit&redlink=1" class="new" title="Bản mẫu:Metricate (trang không tồn tại)">metricate</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Undue_precision&action=edit&redlink=1" class="new" title="Bản mẫu:Undue precision (trang không tồn tại)">undue precision</a></li> <li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Units_attention&action=edit&redlink=1" class="new" title="Bản mẫu:Units attention (trang không tồn tại)">units attention</a></li></ul> </div> </div></td><td style="border-left:2px solid #fdfdfd;padding:0px;text-align:center;;;;width:10em;"><div> <div class="hlist"> <ul><li><a href="/w/index.php?title=B%E1%BA%A3n_m%E1%BA%ABu:Calculation&action=edit&redlink=1" class="new" title="Bản mẫu:Calculation (trang không tồn tại)">calculation</a></li></ul> </div> </div></td></tr></tbody></table></div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2" style="font-weight:bold;"><div><img alt="Thể loại" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/48/Folder_Hexagonal_Icon.svg/16px-Folder_Hexagonal_Icon.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/48/Folder_Hexagonal_Icon.svg/24px-Folder_Hexagonal_Icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/48/Folder_Hexagonal_Icon.svg/32px-Folder_Hexagonal_Icon.svg.png 2x" data-file-width="36" data-file-height="31" /> <a href="/wiki/Th%E1%BB%83_lo%E1%BA%A1i:B%E1%BA%A3n_m%E1%BA%ABu_to%C3%A1n_h%E1%BB%8Dc" title="Thể loại:Bản mẫu toán học">Thể loại</a></div></td></tr></tbody></table></div> <div class="documentation-clear"></div> </div> <div role="note" class="documentation-metadata plainlinks"><a href="/wiki/Wikipedia:T%C3%A0i_li%E1%BB%87u_b%E1%BA%A3n_m%E1%BA%ABu" title="Wikipedia:Tài liệu bản mẫu">Tài liệu</a> bên trên <a href="https://en.wikipedia.org/wiki/Wikipedia:Transclusion" class="extiw" title="en:Wikipedia:Transclusion">được truyền tải</a> từ <a href="/wiki/M%C3%B4_%C4%91un:Math/t%C3%A0i_li%E1%BB%87u" title="Mô đun:Math/tài liệu">Mô đun:Math/tài liệu</a>. (<a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:EditPage/M%C3%B4_%C4%91un:Math/t%C3%A0i_li%E1%BB%87u" title="Đặc biệt:EditPage/Mô đun:Math/tài liệu">sửa</a> | <a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:PageHistory/M%C3%B4_%C4%91un:Math/t%C3%A0i_li%E1%BB%87u" title="Đặc biệt:PageHistory/Mô đun:Math/tài liệu">lịch sử</a>) Biên tập viên sửa đổi có thể thử nghiệm trong các trang <a href="/wiki/M%C3%B4_%C4%91un:Math/sandbox" title="Mô đun:Math/sandbox">chỗ thử</a> (<a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:EditPage/M%C3%B4_%C4%91un:Math/sandbox" title="Đặc biệt:EditPage/Mô đun:Math/sandbox">sửa</a> | <a class="external text" href="https://vi.wikipedia.org/w/index.php?title=%C4%90%E1%BA%B7c_bi%E1%BB%87t%3ASo_s%C3%A1nh_trang&page1=M%C3%B4+%C4%91un%3AMath&page2=M%C3%B4+%C4%91un%3AMath%2Fsandbox">khác</a>) và <a href="/wiki/M%C3%B4_%C4%91un:Math/testcases" title="Mô đun:Math/testcases">trường hợp kiểm thử</a> (<a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:EditPage/M%C3%B4_%C4%91un:Math/testcases" title="Đặc biệt:EditPage/Mô đun:Math/testcases">sửa</a> | <a href="/wiki/Th%E1%BA%A3o_lu%E1%BA%ADn_M%C3%B4_%C4%91un:Math/testcases" title="Thảo luận Mô đun:Math/testcases">chạy</a>) của mô đun này. <a href="/wiki/%C4%90%E1%BA%B7c_bi%E1%BB%87t:Ti%E1%BB%81n_t%E1%BB%91/M%C3%B4_%C4%91un:Math/" title="Đặc biệt:Tiền tố/Mô đun:Math/">Các trang con của mô đun này</a>.</div></div> <div class="mw-highlight mw-highlight-lang-lua mw-content-ltr mw-highlight-lines" dir="ltr"><pre><a href="#L-1"></a>--[[ <a href="#L-2"></a> <a href="#L-3"></a>Mô đun này cung cấp nhiều phép toán cơ bản. <a href="#L-4"></a> <a href="#L-5"></a>]] <a href="#L-6"></a> <a href="#L-7"></a>local yesno, getArgs -- lazily initialized <a href="#L-8"></a> <a href="#L-9"></a>local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules. <a href="#L-10"></a>local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua. <a href="#L-11"></a> <a href="#L-12"></a>--[[ <a href="#L-13"></a>Helper functions used to avoid redundant code. <a href="#L-14"></a>]] <a href="#L-15"></a> <a href="#L-16"></a>local function err(msg) <a href="#L-17"></a> -- Generates wikitext error messages. <a href="#L-18"></a> return mw.ustring.format('Lỗi định dạng: %s', msg) <a href="#L-19"></a>end <a href="#L-20"></a> <a href="#L-21"></a>local function unpackNumberArgs(args) <a href="#L-22"></a> -- Returns an unpacked list of arguments specified with numerical keys. <a href="#L-23"></a> local ret = {} <a href="#L-24"></a> for k, v in pairs(args) do <a href="#L-25"></a> if type(k) == 'number' then <a href="#L-26"></a> table.insert(ret, v) <a href="#L-27"></a> end <a href="#L-28"></a> end <a href="#L-29"></a> return unpack(ret) <a href="#L-30"></a>end <a href="#L-31"></a> <a href="#L-32"></a>local function makeArgArray(...) <a href="#L-33"></a> -- Makes an array of arguments from a list of arguments that might include nils. <a href="#L-34"></a> local args = {...} -- Table of arguments. It might contain nils or non-number values, so we can't use ipairs. <a href="#L-35"></a> local nums = {} -- Stores the numbers of valid numerical arguments. <a href="#L-36"></a> local ret = {} <a href="#L-37"></a> for k, v in pairs(args) do <a href="#L-38"></a> v = p._cleanNumber(v) <a href="#L-39"></a> if v then <a href="#L-40"></a> nums[#nums + 1] = k <a href="#L-41"></a> args[k] = v <a href="#L-42"></a> end <a href="#L-43"></a> end <a href="#L-44"></a> table.sort(nums) <a href="#L-45"></a> for i, num in ipairs(nums) do <a href="#L-46"></a> ret[#ret + 1] = args[num] <a href="#L-47"></a> end <a href="#L-48"></a> return ret <a href="#L-49"></a>end <a href="#L-50"></a> <a href="#L-51"></a>local function fold(func, ...) <a href="#L-52"></a> -- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters, <a href="#L-53"></a> -- and must return a number as an output. This number is then supplied as input to the next function call. <a href="#L-54"></a> local vals = makeArgArray(...) <a href="#L-55"></a> local count = #vals -- The number of valid arguments <a href="#L-56"></a> if count == 0 then return <a href="#L-57"></a> -- Exit if we have no valid args, otherwise removing the first arg would cause an error. <a href="#L-58"></a> nil, 0 <a href="#L-59"></a> end <a href="#L-60"></a> local ret = table.remove(vals, 1) <a href="#L-61"></a> for _, val in ipairs(vals) do <a href="#L-62"></a> ret = func(ret, val) <a href="#L-63"></a> end <a href="#L-64"></a> return ret, count <a href="#L-65"></a>end <a href="#L-66"></a> <a href="#L-67"></a>--[[ <a href="#L-68"></a>Fold arguments by selectively choosing values (func should return when to choose the current "dominant" value). <a href="#L-69"></a>]] <a href="#L-70"></a>local function binary_fold(func, ...) <a href="#L-71"></a> local value = fold((function(a, b) if func(a, b) then return a else return b end end), ...) <a href="#L-72"></a> return value <a href="#L-73"></a>end <a href="#L-74"></a> <a href="#L-75"></a>--[[ <a href="#L-76"></a>random <a href="#L-77"></a> <a href="#L-78"></a>Tạo số ngẫu nhiên. <a href="#L-79"></a> <a href="#L-80"></a>Cách sử dụng: <a href="#L-81"></a>{{#gọi: Math | random }} <a href="#L-82"></a>{{#gọi: Math | random | giá trị tối đa }} <a href="#L-83"></a>{{#gọi: Math | random | giá trị tối thiểu | giá trị tối đa }} <a href="#L-84"></a>]] <a href="#L-85"></a> <a href="#L-86"></a>function wrap.random(args) <a href="#L-87"></a> local first = p._cleanNumber(args[1]) <a href="#L-88"></a> local second = p._cleanNumber(args[2]) <a href="#L-89"></a> return p._random(first, second) <a href="#L-90"></a>end <a href="#L-91"></a> <a href="#L-92"></a>function p._random(first, second) <a href="#L-93"></a> math.randomseed(mw.site.stats.edits + mw.site.stats.pages + os.time() + math.floor(os.clock() * 1000000000)) <a href="#L-94"></a> -- math.random will throw an error if given an explicit nil parameter, so we need to use if statements to check the params. <a href="#L-95"></a> if first and second then <a href="#L-96"></a> if first <= second then -- math.random doesn't allow the first number to be greater than the second. <a href="#L-97"></a> return math.random(first, second) <a href="#L-98"></a> end <a href="#L-99"></a> elseif first then <a href="#L-100"></a> return math.random(first) <a href="#L-101"></a> else <a href="#L-102"></a> return math.random() <a href="#L-103"></a> end <a href="#L-104"></a>end <a href="#L-105"></a> <a href="#L-106"></a>--[[ <a href="#L-107"></a>order <a href="#L-108"></a> <a href="#L-109"></a>Xác định bậc độ lớn của số. <a href="#L-110"></a> <a href="#L-111"></a>Cách sử dụng: <a href="#L-112"></a>{{#gọi: Math | order | giá trị }} <a href="#L-113"></a>]] <a href="#L-114"></a> <a href="#L-115"></a>function wrap.order(args) <a href="#L-116"></a> local input_string = (args[1] or args.x or '0'); <a href="#L-117"></a> local input_number = p._cleanNumber(input_string); <a href="#L-118"></a> if input_number == nil then <a href="#L-119"></a> return err('giá trị cho vào hàm bậc độ lớn không phải là số') <a href="#L-120"></a> else <a href="#L-121"></a> return p._order(input_number) <a href="#L-122"></a> end <a href="#L-123"></a>end <a href="#L-124"></a> <a href="#L-125"></a>function p._order(x) <a href="#L-126"></a> if x == 0 then return 0 end <a href="#L-127"></a> return math.floor(math.log10(math.abs(x))) <a href="#L-128"></a>end <a href="#L-129"></a> <a href="#L-130"></a>--[[ <a href="#L-131"></a>precision <a href="#L-132"></a> <a href="#L-133"></a>Xác định độ chính xác của một số bằng cách sử dụng biểu diễn chuỗi <a href="#L-134"></a> <a href="#L-135"></a>Cách sử dụng: <a href="#L-136"></a>{{ #gọi: Math | precision | giá trị }} <a href="#L-137"></a>]] <a href="#L-138"></a> <a href="#L-139"></a>function wrap.precision(args) <a href="#L-140"></a> local input_string = (args[1] or args.x or '0'); <a href="#L-141"></a> local trap_fraction = args.check_fraction; <a href="#L-142"></a> local input_number; <a href="#L-143"></a> <a href="#L-144"></a> if not yesno then <a href="#L-145"></a> yesno = require('Mô đun:Yesno') <a href="#L-146"></a> end <a href="#L-147"></a> if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]]. <a href="#L-148"></a> local pos = string.find(input_string, '/', 1, true); <a href="#L-149"></a> if pos ~= nil then <a href="#L-150"></a> if string.find(input_string, '/', pos + 1, true) == nil then <a href="#L-151"></a> local denominator = string.sub(input_string, pos+1, -1); <a href="#L-152"></a> local denom_value = tonumber(denominator); <a href="#L-153"></a> if denom_value ~= nil then <a href="#L-154"></a> return math.log10(denom_value); <a href="#L-155"></a> end <a href="#L-156"></a> end <a href="#L-157"></a> end <a href="#L-158"></a> end <a href="#L-159"></a> <a href="#L-160"></a> input_number, input_string = p._cleanNumber(input_string); <a href="#L-161"></a> if input_string == nil then <a href="#L-162"></a> return err('giá trị cho vào hàm độ chính xác không phải là số') <a href="#L-163"></a> else <a href="#L-164"></a> return p._precision(input_string) <a href="#L-165"></a> end <a href="#L-166"></a>end <a href="#L-167"></a> <a href="#L-168"></a>function p._precision(x) <a href="#L-169"></a> if type(x) == 'number' then <a href="#L-170"></a> x = tostring(x) <a href="#L-171"></a> end <a href="#L-172"></a> x = string.upper(x) <a href="#L-173"></a> <a href="#L-174"></a> local decimal = x:find('%.') <a href="#L-175"></a> local exponent_pos = x:find('E') <a href="#L-176"></a> local result = 0; <a href="#L-177"></a> <a href="#L-178"></a> if exponent_pos ~= nil then <a href="#L-179"></a> local exponent = string.sub(x, exponent_pos + 1) <a href="#L-180"></a> x = string.sub(x, 1, exponent_pos - 1) <a href="#L-181"></a> result = result - tonumber(exponent) <a href="#L-182"></a> end <a href="#L-183"></a> <a href="#L-184"></a> if decimal ~= nil then <a href="#L-185"></a> result = result + string.len(x) - decimal <a href="#L-186"></a> return result <a href="#L-187"></a> end <a href="#L-188"></a> <a href="#L-189"></a> local pos = string.len(x); <a href="#L-190"></a> while x:byte(pos) == string.byte('0') do <a href="#L-191"></a> pos = pos - 1 <a href="#L-192"></a> result = result - 1 <a href="#L-193"></a> if pos <= 0 then <a href="#L-194"></a> return 0 <a href="#L-195"></a> end <a href="#L-196"></a> end <a href="#L-197"></a> <a href="#L-198"></a> return result <a href="#L-199"></a>end <a href="#L-200"></a> <a href="#L-201"></a> <a href="#L-202"></a>--[[ <a href="#L-203"></a>max <a href="#L-204"></a> <a href="#L-205"></a>Tìm ra đối số tối đa. <a href="#L-206"></a> <a href="#L-207"></a>Cách sử dụng: <a href="#L-208"></a>{{#gọi:Math| max | giá trị 1 | giá trị 2 | … }} <a href="#L-209"></a> <a href="#L-210"></a>Lưu ý: Các giá trị không phải số được bỏ qua. <a href="#L-211"></a>]] <a href="#L-212"></a> <a href="#L-213"></a>function wrap.max(args) <a href="#L-214"></a> return p._max(unpackNumberArgs(args)) <a href="#L-215"></a>end <a href="#L-216"></a> <a href="#L-217"></a>function p._max(...) <a href="#L-218"></a> local max_value = binary_fold((function(a, b) return a > b end), ...) <a href="#L-219"></a> if max_value then <a href="#L-220"></a> return max_value <a href="#L-221"></a> end <a href="#L-222"></a>end <a href="#L-223"></a> <a href="#L-224"></a>--[[ <a href="#L-225"></a>median <a href="#L-226"></a> <a href="#L-227"></a>Tìm trung vị của tập hợp số <a href="#L-228"></a> <a href="#L-229"></a>Cách sử dụng: <a href="#L-230"></a>{{#invoke:Math | median | số thứ 1 | số thứ 2 | ...}} <a href="#L-231"></a>HOẶC <a href="#L-232"></a>{{#invoke:Math | median }} <a href="#L-233"></a>]] <a href="#L-234"></a> <a href="#L-235"></a>function wrap.median(args) <a href="#L-236"></a> return p._median(unpackNumberArgs(args)) <a href="#L-237"></a>end <a href="#L-238"></a> <a href="#L-239"></a>function p._median(...) <a href="#L-240"></a> local vals = makeArgArray(...) <a href="#L-241"></a> local count = #vals <a href="#L-242"></a> table.sort(vals) <a href="#L-243"></a> <a href="#L-244"></a> if count == 0 then <a href="#L-245"></a> return 0 <a href="#L-246"></a> end <a href="#L-247"></a> <a href="#L-248"></a> if p._mod(count, 2) == 0 then <a href="#L-249"></a> return (vals[count/2] + vals[count/2+1])/2 <a href="#L-250"></a> else <a href="#L-251"></a> return vals[math.ceil(count/2)] <a href="#L-252"></a> end <a href="#L-253"></a>end <a href="#L-254"></a> <a href="#L-255"></a>--[[ <a href="#L-256"></a>min <a href="#L-257"></a> <a href="#L-258"></a>Tìm ra đối số tối thiểu. <a href="#L-259"></a> <a href="#L-260"></a>Cách sử dụng: <a href="#L-261"></a>{{#gọi:Math| min | giá trị 1 | giá trị 2 | … }} <a href="#L-262"></a>HOẶC <a href="#L-263"></a>{{#gọi:Math| min }} <a href="#L-264"></a> <a href="#L-265"></a>Nếu không cho vào đối số nào, nó lấy các giá trị từ khung mẹ. Lưu ý rằng các giá <a href="#L-266"></a>trị không phải số được bỏ qua. <a href="#L-267"></a>]] <a href="#L-268"></a> <a href="#L-269"></a>function wrap.min(args) <a href="#L-270"></a> return p._min(unpackNumberArgs(args)) <a href="#L-271"></a>end <a href="#L-272"></a> <a href="#L-273"></a>function p._min(...) <a href="#L-274"></a> local min_value = binary_fold((function(a, b) return a < b end), ...) <a href="#L-275"></a> if min_value then <a href="#L-276"></a> return min_value <a href="#L-277"></a> end <a href="#L-278"></a>end <a href="#L-279"></a> <a href="#L-280"></a>--[[ <a href="#L-281"></a>sum <a href="#L-282"></a> <a href="#L-283"></a>Tìm tổng <a href="#L-284"></a> <a href="#L-285"></a>Cách sử dụng: <a href="#L-286"></a>{{#invoke:Math| sum | giá trị 1 | giá trị 2 | ... }} <a href="#L-287"></a>HOẶC <a href="#L-288"></a>{{#invoke:Math| sum }} <a href="#L-289"></a> <a href="#L-290"></a>Lưu ý, mọi giá trị không phải số đều bị bỏ qua. <a href="#L-291"></a>]] <a href="#L-292"></a> <a href="#L-293"></a>function wrap.sum(args) <a href="#L-294"></a> return p._sum(unpackNumberArgs(args)) <a href="#L-295"></a>end <a href="#L-296"></a> <a href="#L-297"></a>function p._sum(...) <a href="#L-298"></a> local sums, count = fold((function(a, b) return a + b end), ...) <a href="#L-299"></a> if not sums then <a href="#L-300"></a> return 0 <a href="#L-301"></a> else <a href="#L-302"></a> return sums <a href="#L-303"></a> end <a href="#L-304"></a>end <a href="#L-305"></a> <a href="#L-306"></a>--[[ <a href="#L-307"></a>average <a href="#L-308"></a> <a href="#L-309"></a>Tính phép trung bình. <a href="#L-310"></a> <a href="#L-311"></a>Cách sử dụng: <a href="#L-312"></a>{{#gọi:Math| average | giá trị 1 | giá trị 2 | … }} <a href="#L-313"></a>HOẶC <a href="#L-314"></a>{{#gọi:Math| average }} <a href="#L-315"></a> <a href="#L-316"></a>Lưu ý: Các giá trị không phải số được bỏ qua. <a href="#L-317"></a> <a href="#L-318"></a>]] <a href="#L-319"></a> <a href="#L-320"></a>function wrap.average(args) <a href="#L-321"></a> return p._average(unpackNumberArgs(args)) <a href="#L-322"></a>end <a href="#L-323"></a> <a href="#L-324"></a>function p._average(...) <a href="#L-325"></a> local sum, count = fold((function(a, b) return a + b end), ...) <a href="#L-326"></a> if not sum then <a href="#L-327"></a> return 0 <a href="#L-328"></a> else <a href="#L-329"></a> return sum / count <a href="#L-330"></a> end <a href="#L-331"></a>end <a href="#L-332"></a> <a href="#L-333"></a>--[[ <a href="#L-334"></a>round <a href="#L-335"></a> <a href="#L-336"></a>Làm tròn số theo độ chính xác được định rõ. <a href="#L-337"></a> <a href="#L-338"></a>Cách sử dụng: <a href="#L-339"></a>{{#gọi:Math | round | giá trị | độ chính xác }} <a href="#L-340"></a> <a href="#L-341"></a>--]] <a href="#L-342"></a> <a href="#L-343"></a>function wrap.round(args) <a href="#L-344"></a> local value = p._cleanNumber(args[1] or args.value or 0) <a href="#L-345"></a> local precision = p._cleanNumber(args[2] or args.precision or 0) <a href="#L-346"></a> if value == nil or precision == nil then <a href="#L-347"></a> return err('giá trị cho vào không phải là số khi làm tròn') <a href="#L-348"></a> else <a href="#L-349"></a> return p._round(value, precision) <a href="#L-350"></a> end <a href="#L-351"></a>end <a href="#L-352"></a> <a href="#L-353"></a>function p._round(value, precision) <a href="#L-354"></a> local rescale = math.pow(10, precision or 0); <a href="#L-355"></a> return math.floor(value * rescale + 0.5) / rescale; <a href="#L-356"></a>end <a href="#L-357"></a> <a href="#L-358"></a>--[[ <a href="#L-359"></a>log10 <a href="#L-360"></a> <a href="#L-361"></a>trả về nhật ký (cơ số 10) của một số <a href="#L-362"></a> <a href="#L-363"></a>Cách sử dụng: <a href="#L-364"></a>{{#invoke:Math | log10 | x }} <a href="#L-365"></a>]] <a href="#L-366"></a> <a href="#L-367"></a>function wrap.log10(args) <a href="#L-368"></a> return math.log10(args[1]) <a href="#L-369"></a>end <a href="#L-370"></a> <a href="#L-371"></a>--[[ <a href="#L-372"></a>mod <a href="#L-373"></a> <a href="#L-374"></a>Tính phép mô đun. <a href="#L-375"></a> <a href="#L-376"></a>Cách sử dụng: <a href="#L-377"></a>{{#gọi:Math | mod | x | y }} <a href="#L-378"></a> <a href="#L-379"></a>--]] <a href="#L-380"></a> <a href="#L-381"></a>function wrap.mod(args) <a href="#L-382"></a> local x = p._cleanNumber(args[1]) <a href="#L-383"></a> local y = p._cleanNumber(args[2]) <a href="#L-384"></a> if not x then <a href="#L-385"></a> return err('giá trị đối số đầu tiên lấy dư không phải là số') <a href="#L-386"></a> elseif not y then <a href="#L-387"></a> return err('giá trị đối số thứ hai lấy dư không phải là số') <a href="#L-388"></a> else <a href="#L-389"></a> return p._mod(x, y) <a href="#L-390"></a> end <a href="#L-391"></a>end <a href="#L-392"></a> <a href="#L-393"></a>function p._mod(x, y) <a href="#L-394"></a> local ret = x % y <a href="#L-395"></a> if not (0 <= ret and ret < y) then <a href="#L-396"></a> ret = 0 <a href="#L-397"></a> end <a href="#L-398"></a> return ret <a href="#L-399"></a>end <a href="#L-400"></a> <a href="#L-401"></a>--[[ <a href="#L-402"></a>gcd <a href="#L-403"></a> <a href="#L-404"></a>Tính bội số chung nhỏ nhất của nhiều số. <a href="#L-405"></a> <a href="#L-406"></a>Cách sử dụng: <a href="#L-407"></a>{{#gọi:Math | gcd | giá trị 1 | giá trị 2 | giá trị 3 | … }} <a href="#L-408"></a>--]] <a href="#L-409"></a> <a href="#L-410"></a>function wrap.gcd(args) <a href="#L-411"></a> return p._gcd(unpackNumberArgs(args)) <a href="#L-412"></a>end <a href="#L-413"></a> <a href="#L-414"></a>function p._gcd(...) <a href="#L-415"></a> local function findGcd(a, b) <a href="#L-416"></a> local r = b <a href="#L-417"></a> local oldr = a <a href="#L-418"></a> while r ~= 0 do <a href="#L-419"></a> local quotient = math.floor(oldr / r) <a href="#L-420"></a> oldr, r = r, oldr - quotient * r <a href="#L-421"></a> end <a href="#L-422"></a> if oldr < 0 then <a href="#L-423"></a> oldr = oldr * -1 <a href="#L-424"></a> end <a href="#L-425"></a> return oldr <a href="#L-426"></a> end <a href="#L-427"></a> local result, count = fold(findGcd, ...) <a href="#L-428"></a> return result <a href="#L-429"></a>end <a href="#L-430"></a> <a href="#L-431"></a>--[[ <a href="#L-432"></a>precision_format <a href="#L-433"></a> <a href="#L-434"></a>Làm tròn số theo độ chính xác được định rõ và định dạng số theo các quy tắc từng <a href="#L-435"></a>được sử dụng trong {{bản mẫu:Rnd}}. Giá trị cho ra là chuỗi. <a href="#L-436"></a> <a href="#L-437"></a>Cách sử dụng: <a href="#L-438"></a>{{#gọi: Math | precision_format | số | độ chính xác }} <a href="#L-439"></a>]] <a href="#L-440"></a> <a href="#L-441"></a>function wrap.precision_format(args) <a href="#L-442"></a> local value_string = args[1] or 0 <a href="#L-443"></a> local precision = args[2] or 0 <a href="#L-444"></a> return p._precision_format(value_string, precision) <a href="#L-445"></a>end <a href="#L-446"></a> <a href="#L-447"></a>function p._precision_format(value_string, precision) <a href="#L-448"></a> -- For access to Mediawiki built-in formatter. <a href="#L-449"></a> local lang = mw.getContentLanguage(); <a href="#L-450"></a> <a href="#L-451"></a> local value <a href="#L-452"></a> value, value_string = p._cleanNumber(value_string) <a href="#L-453"></a> precision = p._cleanNumber(precision) <a href="#L-454"></a> <a href="#L-455"></a> -- Check for non-numeric input <a href="#L-456"></a> if value == nil or precision == nil then <a href="#L-457"></a> return err('giá trị đầu vào không hợp lệ khi làm tròn') <a href="#L-458"></a> end <a href="#L-459"></a> <a href="#L-460"></a> local current_precision = p._precision(value) <a href="#L-461"></a> local order = p._order(value) <a href="#L-462"></a> <a href="#L-463"></a> -- Due to round-off effects it is neccesary to limit the returned precision under <a href="#L-464"></a> -- some circumstances because the terminal digits will be inaccurately reported. <a href="#L-465"></a> if order + precision >= 14 then <a href="#L-466"></a> if order + p._precision(value_string) >= 14 then <a href="#L-467"></a> precision = 13 - order; <a href="#L-468"></a> end <a href="#L-469"></a> end <a href="#L-470"></a> <a href="#L-471"></a> -- If rounding off, truncate extra digits <a href="#L-472"></a> if precision < current_precision then <a href="#L-473"></a> value = p._round(value, precision) <a href="#L-474"></a> current_precision = p._precision(value) <a href="#L-475"></a> end <a href="#L-476"></a> <a href="#L-477"></a> local formatted_num = lang:formatNum(math.abs(value)) <a href="#L-478"></a> local sign <a href="#L-479"></a> <a href="#L-480"></a> -- Use proper unary minus sign rather than ASCII default <a href="#L-481"></a> if value < 0 then <a href="#L-482"></a> sign = '−' <a href="#L-483"></a> else <a href="#L-484"></a> sign = '' <a href="#L-485"></a> end <a href="#L-486"></a> <a href="#L-487"></a> -- Handle cases requiring scientific notation <a href="#L-488"></a> if string.find(formatted_num, 'E', 1, true) ~= nil or math.abs(order) >= 9 then <a href="#L-489"></a> value = value * math.pow(10, -order) <a href="#L-490"></a> current_precision = current_precision + order <a href="#L-491"></a> precision = precision + order <a href="#L-492"></a> formatted_num = lang:formatNum(math.abs(value)) <a href="#L-493"></a> else <a href="#L-494"></a> order = 0; <a href="#L-495"></a> end <a href="#L-496"></a> formatted_num = sign .. formatted_num <a href="#L-497"></a> <a href="#L-498"></a> -- Pad with zeros, if needed <a href="#L-499"></a> if current_precision < precision then <a href="#L-500"></a> local padding <a href="#L-501"></a> if current_precision <= 0 then <a href="#L-502"></a> if precision > 0 then <a href="#L-503"></a> local zero_sep = lang:formatNum(1.1) <a href="#L-504"></a> formatted_num = formatted_num .. zero_sep:sub(2,2) <a href="#L-505"></a> <a href="#L-506"></a> padding = precision <a href="#L-507"></a> if padding > 20 then <a href="#L-508"></a> padding = 20 <a href="#L-509"></a> end <a href="#L-510"></a> <a href="#L-511"></a> formatted_num = formatted_num .. string.rep('0', padding) <a href="#L-512"></a> end <a href="#L-513"></a> else <a href="#L-514"></a> padding = precision - current_precision <a href="#L-515"></a> if padding > 20 then <a href="#L-516"></a> padding = 20 <a href="#L-517"></a> end <a href="#L-518"></a> formatted_num = formatted_num .. string.rep('0', padding) <a href="#L-519"></a> end <a href="#L-520"></a> end <a href="#L-521"></a> <a href="#L-522"></a> -- Add exponential notation, if necessary. <a href="#L-523"></a> if order ~= 0 then <a href="#L-524"></a> -- Use proper unary minus sign rather than ASCII default <a href="#L-525"></a> if order < 0 then <a href="#L-526"></a> order = '−' .. lang:formatNum(math.abs(order)) <a href="#L-527"></a> else <a href="#L-528"></a> order = lang:formatNum(order) <a href="#L-529"></a> end <a href="#L-530"></a> <a href="#L-531"></a> formatted_num = formatted_num .. '×10' .. order .. '' <a href="#L-532"></a> end <a href="#L-533"></a> <a href="#L-534"></a> return formatted_num <a href="#L-535"></a>end <a href="#L-536"></a> <a href="#L-537"></a>--[[ <a href="#L-538"></a>Hàm hỗ trợ phân tích giá trị cho vào dưới dạng số. Nếu giá trị cho vào có vẻ <a href="#L-539"></a>không phải là số, hàm này thử phân tích nó là một biểu thức hàm cú pháp. <a href="#L-540"></a>]] <a href="#L-541"></a> <a href="#L-542"></a>function p._cleanNumber(number_string) <a href="#L-543"></a> if type(number_string) == 'number' then <a href="#L-544"></a> -- We were passed a number, so we don't need to do any processing. <a href="#L-545"></a> return number_string, tostring(number_string) <a href="#L-546"></a> elseif type(number_string) ~= 'string' or not number_string:find('%S') then <a href="#L-547"></a> -- We were passed a non-string or a blank string, so exit. <a href="#L-548"></a> return nil, nil; <a href="#L-549"></a> end <a href="#L-550"></a> <a href="#L-551"></a> -- Attempt basic conversion <a href="#L-552"></a> local number = tonumber(number_string) <a href="#L-553"></a> <a href="#L-554"></a> -- If failed, attempt to evaluate input as an expression <a href="#L-555"></a> if number == nil then <a href="#L-556"></a> local success, result = pcall(mw.ext.ParserFunctions.expr, number_string) <a href="#L-557"></a> if success then <a href="#L-558"></a> number = tonumber(result) <a href="#L-559"></a> number_string = tostring(number) <a href="#L-560"></a> else <a href="#L-561"></a> number = nil <a href="#L-562"></a> number_string = nil <a href="#L-563"></a> end <a href="#L-564"></a> else <a href="#L-565"></a> number_string = number_string:match("^%s*(.-)%s*$") -- String is valid but may contain padding, clean it. <a href="#L-566"></a> number_string = number_string:match("^%+(.*)$") or number_string -- Trim any leading + signs. <a href="#L-567"></a> if number_string:find('^%-?0[xX]') then <a href="#L-568"></a> -- Number is using 0xnnn notation to indicate base 16; use the number that Lua detected instead. <a href="#L-569"></a> number_string = tostring(number) <a href="#L-570"></a> end <a href="#L-571"></a> end <a href="#L-572"></a> <a href="#L-573"></a> return number, number_string <a href="#L-574"></a>end <a href="#L-575"></a> <a href="#L-576"></a>--[[ <a href="#L-577"></a>Hàm bọc xử lý các đối số một cách cơ bản. Hàm này chắc chắn rằng các hàm được <a href="#L-578"></a>gọi qua lệnh #gọi có thể sử dụng khung hiện tại hoặc khung mẹ, và nó cũng cắt <a href="#L-579"></a>bớt khoảng cách chung quanh các đối số và xóa các đối số trống. <a href="#L-580"></a>]] <a href="#L-581"></a> <a href="#L-582"></a>local mt = { __index = function(t, k) <a href="#L-583"></a> return function(frame) <a href="#L-584"></a> if not getArgs then <a href="#L-585"></a> getArgs = require('Mô đun:Arguments').getArgs <a href="#L-586"></a> end <a href="#L-587"></a> return wrap[k](getArgs(frame)) -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed. <a href="#L-588"></a> end <a href="#L-589"></a>end } <a href="#L-590"></a> <a href="#L-591"></a>return setmetatable(p, mt) </pre></div>   </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Lấy từ “<a dir="ltr" href="https://vi.wikipedia.org/w/index.php?title=Mô_đun:Math&oldid=59436257">https://vi.wikipedia.org/w/index.php?title=Mô_đun:Math&oldid=59436257</a>”</div></div> <div id="catlinks" class="catlinks catlinks-allhidden" data-mw="interface"><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Thể loại ẩn: <ul><li><a href="/wiki/Th%E1%BB%83_lo%E1%BA%A1i:Trang_b%E1%BB%8B_kh%C3%B3a_h%E1%BA%B3n" title="Thể loại:Trang bị khóa hẳn">Trang bị khóa hẳn</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Trang này được sửa đổi lần cuối vào ngày 14 tháng 3 năm 2020, 16:45.</li> <li id="footer-info-copyright">Văn bản được phát hành theo <a href="/wiki/Wikipedia:Nguy%C3%AAn_v%C4%83n_Gi%E1%BA%A5y_ph%C3%A9p_Creative_Commons_Ghi_c%C3%B4ng%E2%80%93Chia_s%E1%BA%BB_t%C6%B0%C6%A1ng_t%E1%BB%B1_phi%C3%AAn_b%E1%BA%A3n_4.0_Qu%E1%BB%91c_t%E1%BA%BF" title="Wikipedia:Nguyên văn Giấy phép Creative Commons Ghi công–Chia sẻ tương tự phiên bản 4.0 Quốc tế">Giấy phép Creative Commons Ghi công–Chia sẻ tương tự</a>; có thể áp dụng điều khoản bổ sung. 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