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class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Уҡыу көйләүҙәре"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Измените внешний вид страницы, размер, ширину и цвет шрифта." > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Уҡыу көйләүҙәре" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Уҡыу көйләүҙәре</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=ba.wikipedia.org&uselang=ba" class=""><span>Иғәнә</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%98%D2%AB%D3%99%D0%BF_%D1%8F%D2%99%D1%8B%D1%83%D1%8B_%D1%8F%D2%BB%D0%B0%D1%83&returnto=%D2%BA%D0%B0%D0%BD" title="Мотлаҡ булмаһа ла, иҫәп яҙмаһы төҙөргә һәм системала танылырға тәҡдим итәбеҙ" class=""><span>Теркәлеү</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%A2%D0%B0%D0%BD%D1%8B%D0%BB%D1%8B%D1%83&returnto=%D2%BA%D0%B0%D0%BD" title="Бында теркәлеү үтергә була, әммә мотлаҡ түгел [o]" accesskey="o" class=""><span>Танылыу</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Күберәк мөмкинлектәр" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Шәхси ҡоралдар" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Шәхси ҡоралдар</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="Ҡатнашыусы менюһы" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=ba.wikipedia.org&uselang=ba"><span>Иғәнә</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:Contribute"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>Индергән өлөш</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%98%D2%AB%D3%99%D0%BF_%D1%8F%D2%99%D1%8B%D1%83%D1%8B_%D1%8F%D2%BB%D0%B0%D1%83&returnto=%D2%BA%D0%B0%D0%BD" title="Мотлаҡ булмаһа ла, иҫәп яҙмаһы төҙөргә һәм системала танылырға тәҡдим итәбеҙ"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Теркәлеү</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%A2%D0%B0%D0%BD%D1%8B%D0%BB%D1%8B%D1%83&returnto=%D2%BA%D0%B0%D0%BD" title="Бында теркәлеү үтергә була, әммә мотлаҡ түгел [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Танылыу</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Танылмаған мөхәррирҙәр өсөн бит <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A0%D3%99%D1%85%D0%B8%D0%BC_%D0%B8%D1%82%D0%B5%D0%B3%D0%B5%D2%99" aria-label="Мөхәррирләү тураһында ентеклерәк"><span>Күберәк белергә</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D3%98%D2%A3%D0%B3%D3%99%D0%BC%D3%99_%D0%B1%D0%B8%D1%82%D0%B5%D0%BC" title="IP-адресығыҙ өсөн фекер алышыу бите [n]" accesskey="n"><span>Фекер алышыу</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><div id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Eйәшерергә\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"sitenotice\" lang=\"ba\" dir=\"ltr\"\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сайт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Йөкмәткеһе" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Йөкмәткеһе</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ҡабырға панеленә күсерергә</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">йәшерергә</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Башы</div> </a> </li> <li id="toc-Төп_һан_күмәклектәре_(Основные_числовые_множества)" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Төп_һан_күмәклектәре_(Основные_числовые_множества)"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Төп һан күмәклектәре (Основные числовые множества)</span> </div> </a> <ul id="toc-Төп_һан_күмәклектәре_(Основные_числовые_множества)-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Һандар_иерархияһы" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Һандар_иерархияһы"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Һандар иерархияһы</span> </div> </a> <ul id="toc-Һандар_иерархияһы-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Компьютер_хәтерендә_һандар_күҙаллау" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Компьютер_хәтерендә_һандар_күҙаллау"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Компьютер хәтерендә һандар күҙаллау</span> </div> </a> <ul id="toc-Компьютер_хәтерендә_һандар_күҙаллау-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Төшөнсәнең_барлыҡҡа_килеү_тарихы" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Төшөнсәнең_барлыҡҡа_килеү_тарихы"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Төшөнсәнең барлыҡҡа килеү тарихы</span> </div> </a> <button aria-controls="toc-Төшөнсәнең_барлыҡҡа_килеү_тарихы-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Төшөнсәнең барлыҡҡа килеү тарихы бүлеген күрһәтергә/йәшерергә</span> </button> <ul id="toc-Төшөнсәнең_барлыҡҡа_килеү_тарихы-sublist" class="vector-toc-list"> <li id="toc-Тарихҡа_хәтле_осор" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Тарихҡа_хәтле_осор"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Тарихҡа хәтле осор</span> </div> </a> <ul id="toc-Тарихҡа_хәтле_осор-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Яҙма_барлыҡҡа_килеү" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Яҙма_барлыҡҡа_килеү"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Яҙма барлыҡҡа килеү</span> </div> </a> <ul id="toc-Яҙма_барлыҡҡа_килеү-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Арифметиканың_барлыҡҡа_килеүе" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Арифметиканың_барлыҡҡа_килеүе"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Арифметиканың барлыҡҡа килеүе</span> </div> </a> <ul id="toc-Арифметиканың_барлыҡҡа_килеүе-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Тиҫкәре_һандарҙы_ҡуллана_башлау" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Тиҫкәре_һандарҙы_ҡуллана_башлау"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.4</span> <span>Тиҫкәре һандарҙы ҡуллана башлау</span> </div> </a> <ul id="toc-Тиҫкәре_һандарҙы_ҡуллана_башлау-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ысын_һандарҙы_индереү" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ысын_һандарҙы_индереү"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.5</span> <span>Ысын һандарҙы индереү</span> </div> </a> <ul id="toc-Ысын_һандарҙы_индереү-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Комплекслы_һандарҙы_индереү" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Комплекслы_һандарҙы_индереү"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.6</span> <span>Комплекслы һандарҙы индереү</span> </div> </a> <ul id="toc-Комплекслы_һандарҙы_индереү-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Шулай_уҡ_ҡарағыҙ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Шулай_уҡ_ҡарағыҙ"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Шулай уҡ ҡарағыҙ</span> </div> </a> <ul id="toc-Шулай_уҡ_ҡарағыҙ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Иҫкәрмәләр" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Иҫкәрмәләр"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Иҫкәрмәләр</span> </div> </a> <ul id="toc-Иҫкәрмәләр-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Әҙәбиәт" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Әҙәбиәт"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Әҙәбиәт</span> </div> </a> <ul id="toc-Әҙәбиәт-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Һылтанмалар" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Һылтанмалар"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Һылтанмалар</span> </div> </a> <ul id="toc-Һылтанмалар-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="Йөкмәткеһе" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Йөкмәткеһе" > <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="Йөкмәткене күрһәтергә/йәшерергә" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Йөкмәткене күрһәтергә/йәшерергә</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Һан</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Икенсе телдәге мәҡәләгә күсегеҙ. 191 телдә уҡырға була" > <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-191" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">191 тел</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Getal" title="Getal — африкаанс" lang="af" hreflang="af" data-title="Getal" data-language-autonym="Afrikaans" data-language-local-name="африкаанс" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Zahl" title="Zahl — швейцарский немецкий" lang="gsw" hreflang="gsw" data-title="Zahl" data-language-autonym="Alemannisch" data-language-local-name="швейцарский немецкий" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%81%E1%8C%A5%E1%88%AD" title="ቁጥር — амхарский" lang="am" hreflang="am" data-title="ቁጥር" data-language-autonym="አማርኛ" data-language-local-name="амхарский" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Numero" title="Numero — арагонский" lang="an" hreflang="an" data-title="Numero" data-language-autonym="Aragonés" data-language-local-name="арагонский" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/R%C4%ABm" title="Rīm — староанглийский" lang="ang" hreflang="ang" data-title="Rīm" data-language-autonym="Ænglisc" data-language-local-name="староанглийский" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या — ангика" lang="anp" hreflang="anp" data-title="संख्या" data-language-autonym="अंगिका" data-language-local-name="ангика" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد — арабский" lang="ar" hreflang="ar" data-title="عدد" data-language-autonym="العربية" data-language-local-name="арабский" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/%DC%A1%DC%A2%DC%9D%DC%A2%DC%90" title="ܡܢܝܢܐ — арамейский" lang="arc" hreflang="arc" data-title="ܡܢܝܢܐ" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="арамейский" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="সংখ্যা — ассамский" lang="as" hreflang="as" data-title="সংখ্যা" data-language-autonym="অসমীয়া" data-language-local-name="ассамский" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/N%C3%BAmberu" title="Númberu — астурийский" lang="ast" hreflang="ast" data-title="Númberu" data-language-autonym="Asturianu" data-language-local-name="астурийский" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-atj mw-list-item"><a href="https://atj.wikipedia.org/wiki/Akitasowin" title="Akitasowin — атикамек" lang="atj" hreflang="atj" data-title="Akitasowin" data-language-autonym="Atikamekw" data-language-local-name="атикамек" class="interlanguage-link-target"><span>Atikamekw</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C6%8Fd%C9%99d" title="Ədəd — азербайджанский" lang="az" hreflang="az" data-title="Ədəd" data-language-autonym="Azərbaycanca" data-language-local-name="азербайджанский" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد — South Azerbaijani" lang="azb" hreflang="azb" data-title="عدد" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Zoih" title="Zoih — Bavarian" lang="bar" hreflang="bar" data-title="Zoih" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Skaitlios" title="Skaitlios — Samogitian" lang="sgs" hreflang="sgs" data-title="Skaitlios" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Bilang" title="Bilang — Central Bikol" lang="bcl" hreflang="bcl" data-title="Bilang" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D1%96%D0%BA" title="Лік — белорусский" lang="be" hreflang="be" data-title="Лік" data-language-autonym="Беларуская" data-language-local-name="белорусский" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9B%D1%96%D0%BA" title="Лік — белорусский (тарашкевица)" lang="be-tarask" hreflang="be-tarask" data-title="Лік" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="белорусский (тарашкевица)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число — болгарский" lang="bg" hreflang="bg" data-title="Число" data-language-autonym="Български" data-language-local-name="болгарский" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A8%E0%A4%82%E0%A4%AC%E0%A4%B0" title="नंबर — Bhojpuri" lang="bh" hreflang="bh" data-title="नंबर" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Wilangan" title="Wilangan — Banjar" lang="bjn" hreflang="bjn" data-title="Wilangan" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="সংখ্যা — бенгальский" lang="bn" hreflang="bn" data-title="সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="бенгальский" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%82%E0%BE%B2%E0%BD%84%E0%BD%A6%E0%BC%8B%E0%BD%80%E0%BC%8D" title="གྲངས་ཀ། — тибетский" lang="bo" hreflang="bo" data-title="གྲངས་ཀ།" data-language-autonym="བོད་ཡིག" data-language-local-name="тибетский" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Niver" title="Niver — бретонский" lang="br" hreflang="br" data-title="Niver" data-language-autonym="Brezhoneg" data-language-local-name="бретонский" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Broj" title="Broj — боснийский" lang="bs" hreflang="bs" data-title="Broj" data-language-autonym="Bosanski" data-language-local-name="боснийский" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BE" title="Тоо — бурятский" lang="bxr" hreflang="bxr" data-title="Тоо" data-language-autonym="Буряад" data-language-local-name="бурятский" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca badge-Q17437798 badge-goodarticle mw-list-item" title="яҡшы мәҡәлә"><a href="https://ca.wikipedia.org/wiki/Nombre" title="Nombre — каталанский" lang="ca" hreflang="ca" data-title="Nombre" data-language-autonym="Català" data-language-local-name="каталанский" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Numero" title="Numero — Chavacano" lang="cbk" hreflang="cbk" data-title="Numero" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cho mw-list-item"><a href="https://cho.wikipedia.org/wiki/Hohltina" title="Hohltina — чоктавский" lang="cho" hreflang="cho" data-title="Hohltina" data-language-autonym="Chahta anumpa" data-language-local-name="чоктавский" class="interlanguage-link-target"><span>Chahta anumpa</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%98%D9%85%D8%A7%D8%B1%DB%95" title="ژمارە — центральнокурдский" lang="ckb" hreflang="ckb" data-title="ژمارە" data-language-autonym="کوردی" data-language-local-name="центральнокурдский" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Numeru" title="Numeru — корсиканский" lang="co" hreflang="co" data-title="Numeru" data-language-autonym="Corsu" data-language-local-name="корсиканский" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cr mw-list-item"><a href="https://cr.wikipedia.org/wiki/%E1%90%8A%E1%91%AD%E1%90%A6%E1%91%96%E1%93%B1%E1%90%A3" title="ᐊᑭᐦᑖᓱᐣ — кри" lang="cr" hreflang="cr" data-title="ᐊᑭᐦᑖᓱᐣ" data-language-autonym="Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ" data-language-local-name="кри" class="interlanguage-link-target"><span>Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C4%8C%C3%ADslo" title="Číslo — чешский" lang="cs" hreflang="cs" data-title="Číslo" data-language-autonym="Čeština" data-language-local-name="чешский" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BC%D1%A7" title="Чисмѧ — церковнославянский" lang="cu" hreflang="cu" data-title="Чисмѧ" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="церковнославянский" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A5%D0%B8%D1%81%D0%B5%D0%BF" title="Хисеп — чувашский" lang="cv" hreflang="cv" data-title="Хисеп" data-language-autonym="Чӑвашла" data-language-local-name="чувашский" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Rhif" title="Rhif — валлийский" lang="cy" hreflang="cy" data-title="Rhif" data-language-autonym="Cymraeg" data-language-local-name="валлийский" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Tal" title="Tal — датский" lang="da" hreflang="da" data-title="Tal" data-language-autonym="Dansk" data-language-local-name="датский" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-dag mw-list-item"><a href="https://dag.wikipedia.org/wiki/Kalinli" title="Kalinli — Dagbani" lang="dag" hreflang="dag" data-title="Kalinli" data-language-autonym="Dagbanli" data-language-local-name="Dagbani" class="interlanguage-link-target"><span>Dagbanli</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Zahl" title="Zahl — немецкий" lang="de" hreflang="de" data-title="Zahl" data-language-autonym="Deutsch" data-language-local-name="немецкий" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dty mw-list-item"><a href="https://dty.wikipedia.org/wiki/%E0%A4%85%E0%A4%82%E0%A4%95%E0%A4%BE" title="अंका — Doteli" lang="dty" hreflang="dty" data-title="अंका" data-language-autonym="डोटेली" data-language-local-name="Doteli" class="interlanguage-link-target"><span>डोटेली</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82" title="Αριθμός — греческий" lang="el" hreflang="el" data-title="Αριθμός" data-language-autonym="Ελληνικά" data-language-local-name="греческий" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/N%C3%B3mmer" title="Nómmer — Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Nómmer" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Number" title="Number — английский" lang="en" hreflang="en" data-title="Number" data-language-autonym="English" data-language-local-name="английский" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Nombro" title="Nombro — эсперанто" lang="eo" hreflang="eo" data-title="Nombro" data-language-autonym="Esperanto" data-language-local-name="эсперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero" title="Número — испанский" lang="es" hreflang="es" data-title="Número" data-language-autonym="Español" data-language-local-name="испанский" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Arv" title="Arv — эстонский" lang="et" hreflang="et" data-title="Arv" data-language-autonym="Eesti" data-language-local-name="эстонский" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki" title="Zenbaki — баскский" lang="eu" hreflang="eu" data-title="Zenbaki" data-language-autonym="Euskara" data-language-local-name="баскский" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/N%C3%BAmiru" title="Númiru — Extremaduran" lang="ext" hreflang="ext" data-title="Númiru" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد — персидский" lang="fa" hreflang="fa" data-title="عدد" data-language-autonym="فارسی" data-language-local-name="персидский" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-ff mw-list-item"><a href="https://ff.wikipedia.org/wiki/Limle" title="Limle — фулах" lang="ff" hreflang="ff" data-title="Limle" data-language-autonym="Fulfulde" data-language-local-name="фулах" class="interlanguage-link-target"><span>Fulfulde</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Luku" title="Luku — финский" lang="fi" hreflang="fi" data-title="Luku" data-language-autonym="Suomi" data-language-local-name="финский" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Arv" title="Arv — выруский" lang="vro" hreflang="vro" data-title="Arv" data-language-autonym="Võro" data-language-local-name="выруский" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Naba" title="Naba — фиджи" lang="fj" hreflang="fj" data-title="Naba" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="фиджи" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Tal" title="Tal — фарерский" lang="fo" hreflang="fo" data-title="Tal" data-language-autonym="Føroyskt" data-language-local-name="фарерский" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre" title="Nombre — французский" lang="fr" hreflang="fr" data-title="Nombre" data-language-autonym="Français" data-language-local-name="французский" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frp mw-list-item"><a href="https://frp.wikipedia.org/wiki/Nombro" title="Nombro — Arpitan" lang="frp" hreflang="frp" data-title="Nombro" data-language-autonym="Arpetan" data-language-local-name="Arpitan" class="interlanguage-link-target"><span>Arpetan</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Taal" title="Taal — северный фризский" lang="frr" hreflang="frr" data-title="Taal" data-language-autonym="Nordfriisk" data-language-local-name="северный фризский" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Getal" title="Getal — западнофризский" lang="fy" hreflang="fy" data-title="Getal" data-language-autonym="Frysk" data-language-local-name="западнофризский" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Uimhir" title="Uimhir — ирландский" lang="ga" hreflang="ga" data-title="Uimhir" data-language-autonym="Gaeilge" data-language-local-name="ирландский" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%95%B8" title="數 — гань" lang="gan" hreflang="gan" data-title="數" data-language-autonym="贛語" data-language-local-name="гань" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Nomm" title="Nomm — Guianan Creole" lang="gcr" hreflang="gcr" data-title="Nomm" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/%C3%80ireamh" title="Àireamh — гэльский" lang="gd" hreflang="gd" data-title="Àireamh" data-language-autonym="Gàidhlig" data-language-local-name="гэльский" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero" title="Número — галисийский" lang="gl" hreflang="gl" data-title="Número" data-language-autonym="Galego" data-language-local-name="галисийский" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Papapy" title="Papapy — гуарани" lang="gn" hreflang="gn" data-title="Papapy" data-language-autonym="Avañe'ẽ" data-language-local-name="гуарани" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-guc mw-list-item"><a href="https://guc.wikipedia.org/wiki/Nuumerokana" title="Nuumerokana — Wayuu" lang="guc" hreflang="guc" data-title="Nuumerokana" data-language-autonym="Wayuunaiki" data-language-local-name="Wayuu" class="interlanguage-link-target"><span>Wayuunaiki</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Lamba" title="Lamba — хауса" lang="ha" hreflang="ha" data-title="Lamba" data-language-autonym="Hausa" data-language-local-name="хауса" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/N%C4%81_helu" title="Nā helu — гавайский" lang="haw" hreflang="haw" data-title="Nā helu" data-language-autonym="Hawaiʻi" data-language-local-name="гавайский" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8" title="מספר — иврит" lang="he" hreflang="he" data-title="מספר" data-language-autonym="עברית" data-language-local-name="иврит" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या — хинди" lang="hi" hreflang="hi" data-title="संख्या" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Ginti" title="Ginti — Fiji Hindi" lang="hif" hreflang="hif" data-title="Ginti" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Broj" title="Broj — хорватский" lang="hr" hreflang="hr" data-title="Broj" data-language-autonym="Hrvatski" data-language-local-name="хорватский" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Nonm" title="Nonm — гаитянский" lang="ht" hreflang="ht" data-title="Nonm" data-language-autonym="Kreyòl ayisyen" data-language-local-name="гаитянский" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Sz%C3%A1m" title="Szám — венгерский" lang="hu" hreflang="hu" data-title="Szám" data-language-autonym="Magyar" data-language-local-name="венгерский" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B9%D5%AB%D5%BE" title="Թիվ — армянский" lang="hy" hreflang="hy" data-title="Թիվ" data-language-autonym="Հայերեն" data-language-local-name="армянский" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D4%B9%D5%AB%D6%82" title="Թիւ — западноармянский" lang="hyw" hreflang="hyw" data-title="Թիւ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="западноармянский" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Numero" title="Numero — интерлингва" lang="ia" hreflang="ia" data-title="Numero" data-language-autonym="Interlingua" data-language-local-name="интерлингва" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Lumur" title="Lumur — ибанский" lang="iba" hreflang="iba" data-title="Lumur" data-language-autonym="Jaku Iban" data-language-local-name="ибанский" class="interlanguage-link-target"><span>Jaku Iban</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan" title="Bilangan — индонезийский" lang="id" hreflang="id" data-title="Bilangan" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонезийский" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Numero" title="Numero — илоко" lang="ilo" hreflang="ilo" data-title="Numero" data-language-autonym="Ilokano" data-language-local-name="илоко" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Nombro" title="Nombro — идо" lang="io" hreflang="io" data-title="Nombro" data-language-autonym="Ido" data-language-local-name="идо" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Tala_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Tala (stærðfræði) — исландский" lang="is" hreflang="is" data-title="Tala (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="исландский" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero" title="Numero — итальянский" lang="it" hreflang="it" data-title="Numero" data-language-autonym="Italiano" data-language-local-name="итальянский" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%95%B0" title="数 — японский" lang="ja" hreflang="ja" data-title="数" data-language-autonym="日本語" data-language-local-name="японский" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Nomba" title="Nomba — Jamaican Creole English" lang="jam" hreflang="jam" data-title="Nomba" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/namcu" title="namcu — ложбан" lang="jbo" hreflang="jbo" data-title="namcu" data-language-autonym="La .lojban." data-language-local-name="ложбан" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Wilangan_(mat%C3%A9matika)" title="Wilangan (matématika) — яванский" lang="jv" hreflang="jv" data-title="Wilangan (matématika)" data-language-autonym="Jawa" data-language-local-name="яванский" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="რიცხვი — грузинский" lang="ka" hreflang="ka" data-title="რიცხვი" data-language-autonym="ქართული" data-language-local-name="грузинский" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/San" title="San — каракалпакский" lang="kaa" hreflang="kaa" data-title="San" data-language-autonym="Qaraqalpaqsha" data-language-local-name="каракалпакский" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Am%E1%B8%8Dan" title="Amḍan — кабильский" lang="kab" hreflang="kab" data-title="Amḍan" data-language-autonym="Taqbaylit" data-language-local-name="кабильский" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/%C3%91%CA%8A%CA%8A_(t%CA%8A%CA%8Az%CA%8A%CA%8A)" title="Ñʊʊ (tʊʊzʊʊ) — Kabiye" lang="kbp" hreflang="kbp" data-title="Ñʊʊ (tʊʊzʊʊ)" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BD" title="Сан — казахский" lang="kk" hreflang="kk" data-title="Сан" data-language-autonym="Қазақша" data-language-local-name="казахский" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B8%E0%B2%82%E0%B2%96%E0%B3%8D%E0%B2%AF%E0%B3%86" title="ಸಂಖ್ಯೆ — каннада" lang="kn" hreflang="kn" data-title="ಸಂಖ್ಯೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="каннада" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%88%98_(%EC%88%98%ED%95%99)" title="수 (수학) — корейский" lang="ko" hreflang="ko" data-title="수 (수학)" data-language-autonym="한국어" data-language-local-name="корейский" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/%DA%AF%D8%B1%D9%8E%D9%9B%D9%86%D9%9B%D8%AF" title="گرَٛنٛد — кашмири" lang="ks" hreflang="ks" data-title="گرَٛنٛد" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="кашмири" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Hejmar" title="Hejmar — курдский" lang="ku" hreflang="ku" data-title="Hejmar" data-language-autonym="Kurdî" data-language-local-name="курдский" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Niver" title="Niver — корнский" lang="kw" hreflang="kw" data-title="Niver" data-language-autonym="Kernowek" data-language-local-name="корнский" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Numerus" title="Numerus — латинский" lang="la" hreflang="la" data-title="Numerus" data-language-autonym="Latina" data-language-local-name="латинский" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Zuel" title="Zuel — люксембургский" lang="lb" hreflang="lb" data-title="Zuel" data-language-autonym="Lëtzebuergesch" data-language-local-name="люксембургский" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lbe mw-list-item"><a href="https://lbe.wikipedia.org/wiki/%D0%90%D1%8C%D0%B4%D0%B0%D0%B4" title="Аьдад — лакский" lang="lbe" hreflang="lbe" data-title="Аьдад" data-language-autonym="Лакку" data-language-local-name="лакский" class="interlanguage-link-target"><span>Лакку</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Numero" title="Numero — Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Numero" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Ennamba" title="Ennamba — ганда" lang="lg" hreflang="lg" data-title="Ennamba" data-language-autonym="Luganda" data-language-local-name="ганда" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Getal" title="Getal — лимбургский" lang="li" hreflang="li" data-title="Getal" data-language-autonym="Limburgs" data-language-local-name="лимбургский" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Numer" title="Numer — ломбардский" lang="lmo" hreflang="lmo" data-title="Numer" data-language-autonym="Lombard" data-language-local-name="ломбардский" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%88%E0%BA%B3%E0%BA%99%E0%BA%A7%E0%BA%99" title="ຈຳນວນ — лаосский" lang="lo" hreflang="lo" data-title="ຈຳນວນ" data-language-autonym="ລາວ" data-language-local-name="лаосский" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Skai%C4%8Dius" title="Skaičius — литовский" lang="lt" hreflang="lt" data-title="Skaičius" data-language-autonym="Lietuvių" data-language-local-name="литовский" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Skaitlis" title="Skaitlis — латышский" lang="lv" hreflang="lv" data-title="Skaitlis" data-language-autonym="Latviešu" data-language-local-name="латышский" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%85%E0%A4%82%E0%A4%95" title="अंक — майтхили" lang="mai" hreflang="mai" data-title="अंक" data-language-autonym="मैथिली" data-language-local-name="майтхили" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Isa" title="Isa — малагасийский" lang="mg" hreflang="mg" data-title="Isa" data-language-autonym="Malagasy" data-language-local-name="малагасийский" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%A8%D0%BE%D1%82%D0%BF%D0%B0%D0%BB" title="Шотпал — луговомарийский" lang="mhr" hreflang="mhr" data-title="Шотпал" data-language-autonym="Олык марий" data-language-local-name="луговомарийский" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%91%D1%80%D0%BE%D1%98" title="Број — македонский" lang="mk" hreflang="mk" data-title="Број" data-language-autonym="Македонски" data-language-local-name="македонский" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="സംഖ്യ — малаялам" lang="ml" hreflang="ml" data-title="സംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="малаялам" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BE" title="Тоо — монгольский" lang="mn" hreflang="mn" data-title="Тоо" data-language-autonym="Монгол" data-language-local-name="монгольский" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या — маратхи" lang="mr" hreflang="mr" data-title="संख्या" data-language-autonym="मराठी" data-language-local-name="маратхи" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Nombor" title="Nombor — малайский" lang="ms" hreflang="ms" data-title="Nombor" data-language-autonym="Bahasa Melayu" data-language-local-name="малайский" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/N%C3%BAmaro" title="Númaro — мирандский" lang="mwl" hreflang="mwl" data-title="Númaro" data-language-autonym="Mirandés" data-language-local-name="мирандский" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%80%E1%80%AD%E1%80%94%E1%80%BA%E1%80%B8" title="ကိန်း — бирманский" lang="my" hreflang="my" data-title="ကိန်း" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="бирманский" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D8%A7%D8%B4%D9%85%D8%A7%D8%B1%DA%A9" title="اشمارک — мазандеранский" lang="mzn" hreflang="mzn" data-title="اشمارک" data-language-autonym="مازِرونی" data-language-local-name="мазандеранский" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/Tlapohualli" title="Tlapohualli — Nahuatl" lang="nah" hreflang="nah" data-title="Tlapohualli" data-language-autonym="Nāhuatl" data-language-local-name="Nahuatl" class="interlanguage-link-target"><span>Nāhuatl</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Tahl" title="Tahl — нижненемецкий" lang="nds" hreflang="nds" data-title="Tahl" data-language-autonym="Plattdüütsch" data-language-local-name="нижненемецкий" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%85%E0%A4%99%E0%A5%8D%E0%A4%95" title="अङ्क — непальский" lang="ne" hreflang="ne" data-title="अङ्क" data-language-autonym="नेपाली" data-language-local-name="непальский" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B2%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83" title="ल्याः — неварский" lang="new" hreflang="new" data-title="ल्याः" data-language-autonym="नेपाल भाषा" data-language-local-name="неварский" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Getal_(wiskunde)" title="Getal (wiskunde) — нидерландский" lang="nl" hreflang="nl" data-title="Getal (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="нидерландский" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Tal" title="Tal — нюнорск" lang="nn" hreflang="nn" data-title="Tal" data-language-autonym="Norsk nynorsk" data-language-local-name="нюнорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Tall" title="Tall — норвежский букмол" lang="nb" hreflang="nb" data-title="Tall" data-language-autonym="Norsk bokmål" data-language-local-name="норвежский букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Nombre" title="Nombre — Novial" lang="nov" hreflang="nov" data-title="Nombre" data-language-autonym="Novial" data-language-local-name="Novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-nrm mw-list-item"><a href="https://nrm.wikipedia.org/wiki/Neunm%C3%A9tho" title="Neunmétho — Norman" lang="nrf" hreflang="nrf" data-title="Neunmétho" data-language-autonym="Nouormand" data-language-local-name="Norman" class="interlanguage-link-target"><span>Nouormand</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/Nomoro" title="Nomoro — северный сото" lang="nso" hreflang="nso" data-title="Nomoro" data-language-autonym="Sesotho sa Leboa" data-language-local-name="северный сото" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Nombre" title="Nombre — окситанский" lang="oc" hreflang="oc" data-title="Nombre" data-language-autonym="Occitan" data-language-local-name="окситанский" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9D%D1%8B%D0%BC%C3%A6%D1%86" title="Нымæц — осетинский" lang="os" hreflang="os" data-title="Нымæц" data-language-autonym="Ирон" data-language-local-name="осетинский" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%85%E0%A9%B0%E0%A8%95" title="ਅੰਕ — панджаби" lang="pa" hreflang="pa" data-title="ਅੰਕ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="панджаби" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczba" title="Liczba — польский" lang="pl" hreflang="pl" data-title="Liczba" data-language-autonym="Polski" data-language-local-name="польский" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/N%C3%B9mer" title="Nùmer — Piedmontese" lang="pms" hreflang="pms" data-title="Nùmer" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%86%D9%85%D8%A8%D8%B1" title="نمبر — Western Punjabi" lang="pnb" hreflang="pnb" data-title="نمبر" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد — пушту" lang="ps" hreflang="ps" data-title="عدد" data-language-autonym="پښتو" data-language-local-name="пушту" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero" title="Número — португальский" lang="pt" hreflang="pt" data-title="Número" data-language-autonym="Português" data-language-local-name="португальский" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Yupay" title="Yupay — кечуа" lang="qu" hreflang="qu" data-title="Yupay" data-language-autonym="Runa Simi" data-language-local-name="кечуа" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r" title="Număr — румынский" lang="ro" hreflang="ro" data-title="Număr" data-language-autonym="Română" data-language-local-name="румынский" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-rup mw-list-item"><a href="https://roa-rup.wikipedia.org/wiki/Numiru" title="Numiru — арумынский" lang="rup" hreflang="rup" data-title="Numiru" data-language-autonym="Armãneashti" data-language-local-name="арумынский" class="interlanguage-link-target"><span>Armãneashti</span></a></li><li class="interlanguage-link interwiki-roa-tara mw-list-item"><a href="https://roa-tara.wikipedia.org/wiki/Numere" title="Numere — Tarantino" lang="nap-x-tara" hreflang="nap-x-tara" data-title="Numere" data-language-autonym="Tarandíne" data-language-local-name="Tarantino" class="interlanguage-link-target"><span>Tarandíne</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число — русский" lang="ru" hreflang="ru" data-title="Число" data-language-autonym="Русский" data-language-local-name="русский" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A7%D1%96%D1%81%D0%BB%D0%BE" title="Чісло — русинский" lang="rue" hreflang="rue" data-title="Чісло" data-language-autonym="Русиньскый" data-language-local-name="русинский" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83" title="संख्याः — санскрит" lang="sa" hreflang="sa" data-title="संख्याः" data-language-autonym="संस्कृतम्" data-language-local-name="санскрит" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%90%D1%85%D1%81%D0%B0%D0%B0%D0%BD" title="Ахсаан — саха" lang="sah" hreflang="sah" data-title="Ахсаан" data-language-autonym="Саха тыла" data-language-local-name="саха" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/N%C3%B9mmuru" title="Nùmmuru — сицилийский" lang="scn" hreflang="scn" data-title="Nùmmuru" data-language-autonym="Sicilianu" data-language-local-name="сицилийский" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A7%D9%86%DA%AF" title="انگ — синдхи" lang="sd" hreflang="sd" data-title="انگ" data-language-autonym="سنڌي" data-language-local-name="синдхи" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sg mw-list-item"><a href="https://sg.wikipedia.org/wiki/N%C3%B6m%C3%B6r%C3%B6" title="Nömörö — санго" lang="sg" hreflang="sg" data-title="Nömörö" data-language-autonym="Sängö" data-language-local-name="санго" class="interlanguage-link-target"><span>Sängö</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Broj" title="Broj — сербскохорватский" lang="sh" hreflang="sh" data-title="Broj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="сербскохорватский" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Am%E1%B8%8Dan" title="Amḍan — ташельхит" lang="shi" hreflang="shi" data-title="Amḍan" data-language-autonym="Taclḥit" data-language-local-name="ташельхит" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Number" title="Number — Simple English" lang="en-simple" hreflang="en-simple" data-title="Number" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/%C4%8C%C3%ADslo_(matematika)" title="Číslo (matematika) — словацкий" lang="sk" hreflang="sk" data-title="Číslo (matematika)" data-language-autonym="Slovenčina" data-language-local-name="словацкий" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/%C5%A0tevilo" title="Število — словенский" lang="sl" hreflang="sl" data-title="Število" data-language-autonym="Slovenščina" data-language-local-name="словенский" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Nhamba" title="Nhamba — шона" lang="sn" hreflang="sn" data-title="Nhamba" data-language-autonym="ChiShona" data-language-local-name="шона" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Thiin_(cillanaad)" title="Thiin (cillanaad) — сомали" lang="so" hreflang="so" data-title="Thiin (cillanaad)" data-language-autonym="Soomaaliga" data-language-local-name="сомали" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Numri" title="Numri — албанский" lang="sq" hreflang="sq" data-title="Numri" data-language-autonym="Shqip" data-language-local-name="албанский" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%91%D1%80%D0%BE%D1%98" title="Број — сербский" lang="sr" hreflang="sr" data-title="Број" data-language-autonym="Српски / srpski" data-language-local-name="сербский" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Wilangan" title="Wilangan — сунданский" lang="su" hreflang="su" data-title="Wilangan" data-language-autonym="Sunda" data-language-local-name="сунданский" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Tal" title="Tal — шведский" lang="sv" hreflang="sv" data-title="Tal" data-language-autonym="Svenska" data-language-local-name="шведский" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Namba" title="Namba — суахили" lang="sw" hreflang="sw" data-title="Namba" data-language-autonym="Kiswahili" data-language-local-name="суахили" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/N%C5%AFmera" title="Nůmera — силезский" lang="szl" hreflang="szl" data-title="Nůmera" data-language-autonym="Ślůnski" data-language-local-name="силезский" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="எண் — тамильский" lang="ta" hreflang="ta" data-title="எண்" data-language-autonym="தமிழ்" data-language-local-name="тамильский" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tcy mw-list-item"><a href="https://tcy.wikipedia.org/wiki/%E0%B2%B8%E0%B2%82%E0%B2%96%E0%B3%8D%E0%B2%AF%E0%B3%86" title="ಸಂಖ್ಯೆ — Tulu" lang="tcy" hreflang="tcy" data-title="ಸಂಖ್ಯೆ" data-language-autonym="ತುಳು" data-language-local-name="Tulu" class="interlanguage-link-target"><span>ತುಳು</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B0%82%E0%B0%96%E0%B1%8D%E0%B0%AF" title="సంఖ్య — телугу" lang="te" hreflang="te" data-title="సంఖ్య" data-language-autonym="తెలుగు" data-language-local-name="телугу" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D0%B4%D0%B0%D0%B4" title="Адад — таджикский" lang="tg" hreflang="tg" data-title="Адад" data-language-autonym="Тоҷикӣ" data-language-local-name="таджикский" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99" title="จำนวน — тайский" lang="th" hreflang="th" data-title="จำนวน" data-language-autonym="ไทย" data-language-local-name="тайский" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-ti mw-list-item"><a href="https://ti.wikipedia.org/wiki/%E1%89%81%E1%8C%BD%E1%88%AA" title="ቁጽሪ — тигринья" lang="ti" hreflang="ti" data-title="ቁጽሪ" data-language-autonym="ትግርኛ" data-language-local-name="тигринья" class="interlanguage-link-target"><span>ትግርኛ</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/San" title="San — туркменский" lang="tk" hreflang="tk" data-title="San" data-language-autonym="Türkmençe" data-language-local-name="туркменский" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Bilang" title="Bilang — тагалог" lang="tl" hreflang="tl" data-title="Bilang" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Say%C4%B1" title="Sayı — турецкий" lang="tr" hreflang="tr" data-title="Sayı" data-language-autonym="Türkçe" data-language-local-name="турецкий" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Nomboro" title="Nomboro — тсонга" lang="ts" hreflang="ts" data-title="Nomboro" data-language-autonym="Xitsonga" data-language-local-name="тсонга" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BD" title="Сан — татарский" lang="tt" hreflang="tt" data-title="Сан" data-language-autonym="Татарча / tatarça" data-language-local-name="татарский" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-tum mw-list-item"><a href="https://tum.wikipedia.org/wiki/Chipendero" title="Chipendero — тумбука" lang="tum" hreflang="tum" data-title="Chipendero" data-language-autonym="ChiTumbuka" data-language-local-name="тумбука" class="interlanguage-link-target"><span>ChiTumbuka</span></a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%9B%D1%8B%D0%B4" title="Лыд — удмуртский" lang="udm" hreflang="udm" data-title="Лыд" data-language-autonym="Удмурт" data-language-local-name="удмуртский" class="interlanguage-link-target"><span>Удмурт</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число — украинский" lang="uk" hreflang="uk" data-title="Число" data-language-autonym="Українська" data-language-local-name="украинский" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد — урду" lang="ur" hreflang="ur" data-title="عدد" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Son" title="Son — узбекский" lang="uz" hreflang="uz" data-title="Son" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбекский" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/N%C3%B9maro" title="Nùmaro — венецианский" lang="vec" hreflang="vec" data-title="Nùmaro" data-language-autonym="Vèneto" data-language-local-name="венецианский" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Lugu" title="Lugu — вепсский" lang="vep" hreflang="vep" data-title="Lugu" data-language-autonym="Vepsän kel’" data-language-local-name="вепсский" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91" title="Số — вьетнамский" lang="vi" hreflang="vi" data-title="Số" data-language-autonym="Tiếng Việt" data-language-local-name="вьетнамский" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Ihap" title="Ihap — варай" lang="war" hreflang="war" data-title="Ihap" data-language-autonym="Winaray" data-language-local-name="варай" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%95%B0" title="数 — у" lang="wuu" hreflang="wuu" data-title="数" data-language-autonym="吴语" data-language-local-name="у" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%A2%D0%BE%D0%B9%D0%B3" title="Тойг — калмыцкий" lang="xal" hreflang="xal" data-title="Тойг" data-language-autonym="Хальмг" data-language-local-name="калмыцкий" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/INANI" title="INANI — коса" lang="xh" hreflang="xh" data-title="INANI" data-language-autonym="IsiXhosa" data-language-local-name="коса" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%A3" title="რიცხუ — мегрельский" lang="xmf" hreflang="xmf" data-title="რიცხუ" data-language-autonym="მარგალური" data-language-local-name="мегрельский" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A6%D7%90%D7%9C" title="צאל — идиш" lang="yi" hreflang="yi" data-title="צאל" data-language-autonym="ייִדיש" data-language-local-name="идиш" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/N%E1%BB%8D%CC%81mb%C3%A0" title="Nọ́mbà — йоруба" lang="yo" hreflang="yo" data-title="Nọ́mbà" data-language-autonym="Yorùbá" data-language-local-name="йоруба" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B4%B0%E2%B5%8E%E2%B4%B9%E2%B4%B0%E2%B5%8F" title="ⴰⵎⴹⴰⵏ — тамазигхтский" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴹⴰⵏ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="тамазигхтский" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%95%B0" title="数 — китайский" lang="zh" hreflang="zh" data-title="数" data-language-autonym="中文" data-language-local-name="китайский" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%95%B8" title="數 — Literary Chinese" lang="lzh" hreflang="lzh" data-title="數" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/S%C3%B2%CD%98-ba%CC%8Dk" title="Sò͘-ba̍k — миньнань" lang="nan" hreflang="nan" data-title="Sò͘-ba̍k" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="миньнань" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%95%B8" title="數 — кантонский" lang="yue" hreflang="yue" data-title="數" data-language-autonym="粵語" data-language-local-name="кантонский" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Inombolo" title="Inombolo — зулу" lang="zu" hreflang="zu" data-title="Inombolo" data-language-autonym="IsiZulu" data-language-local-name="зулу" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11563#sitelinks-wikipedia" title="Башҡа телдәргә һылтанмаларҙы төҙәтеү" class="wbc-editpage">Һылтанмаларҙы төҙәтергә</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Исем 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href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Numbers_grid_in_NY.jpg" class="mw-file-description"><img alt="Рәсем" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Numbers_grid_in_NY.jpg/274px-Numbers_grid_in_NY.jpg" decoding="async" width="274" height="206" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/85/Numbers_grid_in_NY.jpg/411px-Numbers_grid_in_NY.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/85/Numbers_grid_in_NY.jpg/548px-Numbers_grid_in_NY.jpg 2x" data-file-width="2560" data-file-height="1920" /></a></span></span></span></td></tr> <tr><td colspan="2" class="infobox-image ts-Универсальная_карточка-image"><span data-wikidata-claim-id="Q11563$2B3C65E3-627B-4A60-8B8C-93F01152B9CB" class="wikidata-claim" data-wikidata-property-id="P10"><span class="wikidata-snak wikidata-main-snak"><span typeof="mw:File/Frameless"><span><video id="mwe_player_0" poster="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/274px---bertsomate-_zenbaki_arrazionalak.webm.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="274" height="154" data-durationhint="29" data-mwtitle="-bertsomate-_zenbaki_arrazionalak.webm" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.480p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="480p.vp9.webm" data-width="854" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.720p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="720p.vp9.webm" data-width="1280" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.1080p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="1080p.vp9.webm" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/a/ae/-bertsomate-_zenbaki_arrazionalak.webm" type="video/webm; codecs="vp8, vorbis"" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="256" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.240p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="240p.vp9.webm" data-width="426" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.360p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="360p.vp9.webm" data-width="640" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/-bertsomate-_zenbaki_arrazionalak.webm/-bertsomate-_zenbaki_arrazionalak.webm.360p.webm" type="video/webm; codecs="vp8, vorbis"" data-transcodekey="360p.webm" data-width="640" data-height="360" /></video></span></span></span></span></td></tr> <tr><th class="infobox-label ts-Универсальная_карточка-label">Вики-проект</th><td class="infobox-text"> <span data-wikidata-claim-id="Q11563$377873AA-09AF-4F51-B8BF-049427B3D4BA" class="wikidata-claim" data-wikidata-property-id="P6104"><span class="wikidata-snak wikidata-main-snak"><span class="plainlinks"><a class="external text" href="https://ru.wikipedia.org/w/index.php?title=%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82%3A%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0&action=edit&editintro=T:Нет_статьи/editintro&preload=T:Нет_статьи/preload&preloadparams%5B%5D=Q8487137&preloadparams%5B%5D=%D0%9F%D1%80%D0%BE%D0%B5%D0%BA%D1%82%3A%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0&preloadparams%5B%5D=Универсальная+карточка"><span style="color:var(--color-link-red, #d73333); text-decoration:inherit; text-decoration-color:var(--color-link-red, #d73333);">Проект:Математика</span></a></span><sup><a href="https://www.wikidata.org/wiki/Q8487137" class="extiw" title="d:Q8487137">[d]</a></sup></span></span></td></tr> <tr><td colspan="2" class="infobox-image ts-Универсальная_карточка-image"><span data-wikidata-claim-id="Q11563$17379ff8-4a86-43c8-347c-39fb7ab2788f" class="wikidata-claim" data-wikidata-property-id="P5555"><span class="wikidata-snak wikidata-main-snak"><span typeof="mw:File/Frameless"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:NumberSetinC.svg" class="mw-file-description"><img alt="Схематичная иллюстрация" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/NumberSetinC.svg/274px-NumberSetinC.svg.png" decoding="async" width="274" height="215" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/NumberSetinC.svg/411px-NumberSetinC.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/NumberSetinC.svg/548px-NumberSetinC.svg.png 2x" data-file-width="600" data-file-height="470" /></a></span></span></span></td></tr> <tr><td colspan="2" class="infobox-below ts-Универсальная_карточка-below"><span data-wikidata-claim-id="q11563$32D7A5F0-9173-4181-95D3-06E90B38AC48" class="wikidata-claim" data-wikidata-property-id="P373"><span class="wikidata-snak wikidata-main-snak"><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/Category:Numbers" title="commons:Category:Numbers"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <a href="https://commons.wikimedia.org/wiki/Category:Numbers" class="extiw" title="commons:Category:Numbers">Һан Викимилектә</a></span></span></td></tr> </tbody></table> <p><br /> </p> <div class="dablink noprint">Был терминдың башҡа мәғәнәләре лә бар, ҡарағыҙ: <a href="/wiki/%D2%BA%D0%B0%D0%BD_(%D0%BC%D3%99%D2%93%D3%99%D0%BD%D3%99%D0%BB%D3%99%D1%80)" class="mw-disambig" title="Һан (мәғәнәләр)">Һан (мәғәнәләр)</a>.</div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Venn_Diagram_of_Numbers-ru.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Venn_Diagram_of_Numbers-ru.svg/270px-Venn_Diagram_of_Numbers-ru.svg.png" decoding="async" width="270" height="252" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Venn_Diagram_of_Numbers-ru.svg/405px-Venn_Diagram_of_Numbers-ru.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Venn_Diagram_of_Numbers-ru.svg/540px-Venn_Diagram_of_Numbers-ru.svg.png 2x" data-file-width="512" data-file-height="478" /></a><figcaption>Разновидности чисел</figcaption></figure> <p><b>Һан</b> — математикала төп төшөнсә<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>, миҡдар иҫәбен билдәләү,сағыштырыу, объекттарҙы һәм уларҙың өлөштәрен номерлау өсөн ҡулланыла. Һандарҙы яҙыу өсөн цифрҙар, математик ғәмәлдәр символдары ҡулланыла. Тәүтормошта уҡ иҫәп-хисап кәрәклектән барлыҡҡа килгән һан төшөнсәһе фән үҫешеү менән киңәйә. </p><p><br /> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Төп_һан_күмәклектәре_(Основные_числовые_множества)"><span id=".D0.A2.D3.A9.D0.BF_.D2.BB.D0.B0.D0.BD_.D0.BA.D2.AF.D0.BC.D3.99.D0.BA.D0.BB.D0.B5.D0.BA.D1.82.D3.99.D1.80.D0.B5_.28.D0.9E.D1.81.D0.BD.D0.BE.D0.B2.D0.BD.D1.8B.D0.B5_.D1.87.D0.B8.D1.81.D0.BB.D0.BE.D0.B2.D1.8B.D0.B5_.D0.BC.D0.BD.D0.BE.D0.B6.D0.B5.D1.81.D1.82.D0.B2.D0.B0.29"></span>Төп һан күмәклектәре (Основные числовые множества)</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=1" title="Төп һан күмәклектәре (Основные числовые множества) бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=1" title="Төп һан күмәклектәре (Основные числовые множества) бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><b><a href="/wiki/%D0%9D%D0%B0%D1%82%D1%83%D1%80%D0%B0%D0%BB%D1%8C_%D2%BB%D0%B0%D0%BD" title="Натураль һан">Натураль һандар</a></b>, тәбиғи иҫәпләү өсөн ҡулланыла торған һандар; натураль һандар күмәклеге тамғаланышы — <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {N} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fdf9a96b565ea202d0f4322e9195613fb26a9bed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {N} }" /></span>. Тимәк, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {N} =\left\{1,2,3,...\right\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>=</mo> <mrow> <mo>{</mo> <mrow> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mrow> <mo>}</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} =\left\{1,2,3,...\right\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/767b1206f978bfffae85a5379b3ef82847ad4f18" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.792ex; height:2.843ex;" alt="{\displaystyle \mathbb {N} =\left\{1,2,3,...\right\}}" /></span> (ҡайһы ваҡыт натураль һандар иҫәбенә 0-де лә индерәләр <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {N} =\left\{0,1,2,3,...\right\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>=</mo> <mrow> <mo>{</mo> <mrow> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mrow> <mo>}</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} =\left\{0,1,2,3,...\right\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72a8125c0575f0b764da59980c16bcc3ed68f3f1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.989ex; height:2.843ex;" alt="{\displaystyle \mathbb {N} =\left\{0,1,2,3,...\right\}}" /></span>).</li></ul> <p><br /> </p> <ul><li><b><a href="/wiki/%D0%91%D3%A9%D1%82%D3%A9%D0%BD_%D2%BB%D0%B0%D0%BD" title="Бөтөн һан">Бөтөн һандар</a></b>, натураль һандарҙы натураль һандарға ҡапма-ҡаршы һандар һәм нуль менән берләштереүҙән килеп сыҡҡан һандар күмәклеге, тамғаланышы — <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {Z} =\left\{...-2,-1,0,1,2,...\right\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mo>=</mo> <mrow> <mo>{</mo> <mrow> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>−</mo> <mn>2</mn> <mo>,</mo> <mo>−</mo> <mn>1</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mrow> <mo>}</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} =\left\{...-2,-1,0,1,2,...\right\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8916f73e1887aa91f3e390dac5277f0c5462dde6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:27.776ex; height:2.843ex;" alt="{\displaystyle \mathbb {Z} =\left\{...-2,-1,0,1,2,...\right\}}" /></span>. Теләһә ниндәй бөтөн һанды ике натураль һандың айырмаһы итеп ҡарарға була. Бөтөн һандар күмәклеге алыу, ҡушыу һәм ҡабатлау ғәмәлдәренә ҡарата (тик бүлеүгә түгел) йомоҡ; дөйөм алгебрала бындай алгебраик структура ҡулса тип атала.</li></ul> <ul><li><b>Рациональ һандар</b> — математикала <span style="white-space: nowrap;"><span class="math-template" style="font-style:italic;">m</span>/<span class="math-template" style="font-style:italic;">n</span> кәсере рәүешендә күрһәтергә мөмкин булған һандар (<span class="math-template" style="font-style:italic;">n</span> ≠ 0)</span>, бында<span class="math-template" style="font-style:italic;">m</span> — бөтөн һан, ә <span class="math-template" style="font-style:italic;">n</span> — натураль һан. Рациональ һандар күмәклеге бөтә дүрт арифметик ғәмәлгә: ҡушыу, алыу, ҡабатлау һәм бүлеүгә (нулгә бүлеүҙән тыш) ҡарата йомоҡ; дөйөм алгебрала ошондай алгебраик структура ялан тип атала. Рациональ һандар күмәклеге <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {Q} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Q} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \mathbb {Q} }" /></span> (от <a href="/wiki/%D0%98%D0%BD%D0%B3%D0%BB%D0%B8%D0%B7_%D1%82%D0%B5%D0%BB%D0%B5" title="Инглиз теле">ингл.</a> <span lang="en">quotient</span>) хәрефе менән тамғалана.</li></ul> <ul><li><b>Ысын һандар</b> — ҡайһы бер (<a href="/w/index.php?title=%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7&action=edit&redlink=1" class="new" title="Математик анализ (был бит юҡ)">математик анализ</a> өсөн мөһим булған) операцияларға ҡарата йомоҡ булған рациональ һандар күмәклегенең киңәйеүе. Ысын һандар күмәклеге <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {R} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {R} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {R} }" /></span> менән тамғалана. Уны <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {Q} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Q} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \mathbb {Q} }" /></span> рацональ һандар яланын ғәҙәттәге абсолют дәүмәл булған норма ярҙамында тулыландырыу тип ҡарап була. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {R} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {R} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {R} }" /></span> рациональ һандарҙан тыш, бөтөн һандарҙың сағыштырмаһы рәүешендә күрһәтеп булмаған <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {I} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">I</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {I} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8205f06e0d279689ed04a1ac04a3d9c249c637df" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.905ex; height:2.176ex;" alt="{\displaystyle \mathbb {I} }" /></span> иррациональ һандар күмәклеген үҙ эсенә ала.</li></ul> <ul><li><b>Комплекслы һандар</b> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {C} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {C} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9add4085095b9b6d28d045fd9c92c2c09f549a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="{\displaystyle \mathbb {C} }" /></span>- ысын һандар күмәклегенең киңәйеүе. Улар <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle z=x+iy}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>z</mi> <mo>=</mo> <mi>x</mi> <mo>+</mo> <mi>i</mi> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle z=x+iy}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/08e90bb6b36fef59c6113eed2a08f10d77240741" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.315ex; height:2.509ex;" alt="{\displaystyle z=x+iy}" /></span> күренешендә яҙыла, бында <span class="math-template" style="font-style:italic;">i</span> — <a href="/w/index.php?title=%D0%A3%D0%B9%D0%BB%D0%B0%D0%BD%D0%BC%D0%B0_%D0%B1%D0%B5%D1%80%D3%99%D0%BC%D0%B5%D0%BA&action=edit&redlink=1" class="new" title="Уйланма берәмек (был бит юҡ)">уйланма берәмек</a>, уның өсөн <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle i^{2}=-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>i</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i^{2}=-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88e98a401d352e5037d5043028e2d7f449e83fa6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.926ex; height:2.843ex;" alt="{\displaystyle i^{2}=-1}" /></span> тигеҙлеге үтәлә. Комплекслы һандар <a href="/wiki/%D0%AD%D0%BB%D0%B5%D0%BA%D1%82%D1%80%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Электротехника">электротехника</a>, <a href="/w/index.php?title=%D0%93%D0%B8%D0%B4%D1%80%D0%BE%D0%B4%D0%B8%D0%BD%D0%B0%D0%BC%D0%B8%D0%BA%D0%B0&action=edit&redlink=1" class="new" title="Гидродинамика (был бит юҡ)">гидродинамика</a>, <a href="/wiki/%D0%9A%D0%B0%D1%80%D1%82%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F" title="Картография">картография</a>, <a href="/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D0%BA%D0%B0%D2%BB%D1%8B" title="Квант механикаһы">квант механикаһы</a>, <a href="/w/index.php?title=%D0%A2%D0%B8%D1%80%D0%B1%D3%99%D0%BB%D0%B5%D1%88%D1%82%D3%99%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D2%BB%D1%8B&action=edit&redlink=1" class="new" title="Тирбәлештәр теорияһы (был бит юҡ)">тирбәлештәр теорияһы </a>, [хаос теорияһы]], <a href="/w/index.php?title=%D0%A2%D1%8B%D2%93%D1%8B%D2%99%D0%BB%D1%8B%D2%A1_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D2%BB%D1%8B&action=edit&redlink=1" class="new" title="Тығыҙлыҡ теорияһы (был бит юҡ)">тығыҙлыҡ теорияһы</a> һәм башҡалар буйынса мәсьәләләр сискәндә ҡулланыла. Комплекслы һандар <a href="/w/index.php?title=%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D0%B8%D0%BA&action=edit&redlink=1" class="new" title="Алгебраик (был бит юҡ)">алгебраик</a> һәм <a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BD%D1%81%D1%86%D0%B5%D0%BD%D0%B4%D0%B5%D0%BD%D1%82&action=edit&redlink=1" class="new" title="Трансцендент (был бит юҡ)">трансцендент</a> һандарға бүленә. Шул уҡ ваҡытта ысын трансцендент һан иррациональ, һәр бер рациональ һан —ысын алгебраик һан. Алгебраик һандарға ҡарағанда дөйөмөрәк (ләкин һаман да <a href="/w/index.php?title=%D0%98%D2%AB%D3%99%D0%BF%D0%BB%D0%B5_%D0%BA%D2%AF%D0%BC%D3%99%D0%BA%D0%BB%D0%B5%D0%BA&action=edit&redlink=1" class="new" title="Иҫәпле күмәклек (был бит юҡ)">иҫәпле</a>) һандар кластары булып <a href="/w/index.php?title=%D0%9F%D0%B5%D1%80%D0%B8%D0%BE%D0%B4%D1%82%D0%B0%D1%80_%D2%A1%D1%83%D0%BB%D1%81%D0%B0%D2%BB%D1%8B&action=edit&redlink=1" class="new" title="Периодтар ҡулсаһы (был бит юҡ)">периодтар</a>, иҫәпләнеүсе (<a href="/w/index.php?title=%D0%92%D1%8B%D1%87%D0%B8%D1%81%D0%BB%D0%B8%D0%BC%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE&action=edit&redlink=1" class="new" title="Вычислимое число (был бит юҡ)">вычислимые</a>) һәм арифметик һандар(<a href="/w/index.php?title=%D0%90%D1%80%D0%B8%D1%84%D0%BC%D0%B5%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE&action=edit&redlink=1" class="new" title="Арифметическое число (был бит юҡ)">арифметические числа</a>) тора (бында һәр класс алдағыһынан киңерәк).</li></ul> <p>Һанап кителгән күмәклектәр өсөн ошо аңлатма үтәлә: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {P} \subset \mathbb {N} \subset \mathbb {Z} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C} .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">P</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {P} \subset \mathbb {N} \subset \mathbb {Z} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C} .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/11b03c7bc403400fcb90d77be99962bc9b1e0aa4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.952ex; height:2.509ex;" alt="{\displaystyle \mathbb {P} \subset \mathbb {N} \subset \mathbb {Z} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C} .}" /></span> </p> <div class="mw-heading mw-heading2"><h2 id="Һандар_иерархияһы"><span id=".D2.BA.D0.B0.D0.BD.D0.B4.D0.B0.D1.80_.D0.B8.D0.B5.D1.80.D0.B0.D1.80.D1.85.D0.B8.D1.8F.D2.BB.D1.8B"></span>Һандар иерархияһы</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=2" title="Һандар иерархияһы бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=2" title="Һандар иерархияһы бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Түбәндә күмәклектәре өсөн <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbb {N} \subset \mathbb {Z} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C} \subset \mathbb {H} \subset \mathbb {O} \subset \mathbb {S} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">H</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">O</mi> </mrow> <mo>⊂</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">S</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} \subset \mathbb {Z} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C} \subset \mathbb {H} \subset \mathbb {O} \subset \mathbb {S} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/637621585dc70773a77045562fae9a0d51e58e3d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:34.991ex; height:2.509ex;" alt="{\displaystyle \mathbb {N} \subset \mathbb {Z} \subset \mathbb {Q} \subset \mathbb {R} \subset \mathbb {C} \subset \mathbb {H} \subset \mathbb {O} \subset \mathbb {S} }" /></span> аңлатмаһы дөрөҫ булған һандар иерархияһы, миҫалдар менән килтерелә: <a href="/w/index.php?title=%D2%A0%D0%B0%D0%BB%D1%8B%D0%BF:%D0%98%D0%B5%D1%80%D0%B0%D1%80%D1%85%D0%B8%D1%8F_%D1%87%D0%B8%D1%81%D0%B5%D0%BB&action=edit&redlink=1" class="new" title="Ҡалып:Иерархия чисел (был бит юҡ)">Ҡалып:Иерархия чисел</a> </p> <div class="mw-heading mw-heading2"><h2 id="Компьютер_хәтерендә_һандар_күҙаллау"><span id=".D0.9A.D0.BE.D0.BC.D0.BF.D1.8C.D1.8E.D1.82.D0.B5.D1.80_.D1.85.D3.99.D1.82.D0.B5.D1.80.D0.B5.D0.BD.D0.B4.D3.99_.D2.BB.D0.B0.D0.BD.D0.B4.D0.B0.D1.80_.D0.BA.D2.AF.D2.99.D0.B0.D0.BB.D0.BB.D0.B0.D1.83"></span>Компьютер хәтерендә һандар күҙаллау</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=3" title="Компьютер хәтерендә һандар күҙаллау бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=3" title="Компьютер хәтерендә һандар күҙаллау бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><i>подробнее см. <a href="/w/index.php?title=%D0%9F%D1%80%D1%8F%D0%BC%D0%BE%D0%B9_%D0%BA%D0%BE%D0%B4&action=edit&redlink=1" class="new" title="Прямой код (был бит юҡ)">Прямой код</a>, <a href="/w/index.php?title=%D0%94%D0%BE%D0%BF%D0%BE%D0%BB%D0%BD%D0%B8%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_%D0%BA%D0%BE%D0%B4_(%D0%BF%D1%80%D0%B5%D0%B4%D1%81%D1%82%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%B0)&action=edit&redlink=1" class="new" title="Дополнительный код (представление числа) (был бит юҡ)">Дополнительный код (представление числа)</a>, <a href="/w/index.php?title=%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D1%81_%D0%BF%D0%BB%D0%B0%D0%B2%D0%B0%D1%8E%D1%89%D0%B5%D0%B9_%D0%B7%D0%B0%D0%BF%D1%8F%D1%82%D0%BE%D0%B9&action=edit&redlink=1" class="new" title="Число с плавающей запятой (был бит юҡ)">Число с плавающей запятой</a></i></dd></dl> <p>Компьютер хәтерендә натураль һандарҙы һаҡлау өсөн, ул икешәрле иҫәпләү системаһына күсерелә. Тиҫкәре һандарҙы билдәләү өсөн һандың өҫтәлмә коды ҡулланыла, ул икешәрле иҫәпләү системаһында бирелгән тиҫкәре һандың инвертирланған модуленә берҙе өҫтәү менән булдырыла. </p><p>Компьютерҙың хәтерендә һандарҙы һаҡлау, һандар өсөн тәғәйенләнгән хәтер күләме сикләнгән булыу менән бәйле, сикләнгән. Натураль һандар математик идеаллаштырыу булып торалар, натураль һандар рәте сикһеҙ. ЭВМ-дың хәтере күләменә физик сикләүҙәр ҡуйыла. Шунлыҡтан ЭВМ-да беҙ математика мәғәнәһендәге һандар менән түгел,ә ҡайһы бер күҙаллауҙар, йәки яҡынса һандар менән эш итәбеҙ. Һандарҙы күҙаллау өсөн хәтерҙең бер нисә күҙәнәге (ғәҙәттә икешәрле, бит — от BInary digiT) бүленә. Әгәр ҙә операцияны эшләгәндән һуң килеп сыҡҡан һан ЭВМ-да ҡалдырылған урынға ҡарағанда күберәк булһа, иҫәпләү һөҙөмтәһе дөрөҫ булмай — арифметик артып китеү тип аталған хәл була. Ысын һандар күсеп йөрөүсе өтөрлө һандар рәүешендә бирелә. Ысын һандарҙың тик ҡай береһе генә компьютер хәтерендә теүәл мәғәнәлә бирелә, ҡалған һандар яҡынса мәғәнәлә күҙаллана. Күсеп йөрөүсе өтөрлө һан йыш ҡулланылған форматта биттар эҙмә эҙлеклелеге рәүешендә бирелә, уларҙың ҡай береһе һандың мантиссаһын, ҡалғандары сағыштырыу дәрәжәһен кодлай, ә тағы ла бер бит һандың билдәһен күрһәтеү өсөн ҡулланыла. </p> <div class="mw-heading mw-heading2"><h2 id="Төшөнсәнең_барлыҡҡа_килеү_тарихы"><span id=".D0.A2.D3.A9.D1.88.D3.A9.D0.BD.D1.81.D3.99.D0.BD.D0.B5.D2.A3_.D0.B1.D0.B0.D1.80.D0.BB.D1.8B.D2.A1.D2.A1.D0.B0_.D0.BA.D0.B8.D0.BB.D0.B5.D2.AF_.D1.82.D0.B0.D1.80.D0.B8.D1.85.D1.8B"></span>Төшөнсәнең барлыҡҡа килеү тарихы</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=4" title="Төшөнсәнең барлыҡҡа килеү тарихы бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=4" title="Төшөнсәнең барлыҡҡа килеү тарихы бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Һан төшөнсәһе бик боронғо заманда кешеләрҙең көндәлек тормош ихтыяжынан сығып, булдырылған һәм кешелек үҫешеү процесында ҡатмарлаша бара. Кешеләрҙең эшмәкәрлек даирәһе киңәйгән һайын, дәүмәлдәрҙе билдәләү һәм тикшереү ихтыяжы ла арта бара . Башта кешеләр һандарҙы практик тормошта иҫәпләү һәм үлсәү өсөн ҡуллана, әкренләп улар ҡатмарлаша бара .Һуңыраҡ һан математикала төп аңлатмаға әйләнә ,был фән өсөн кәрәк булғанлыҡтан был аңлатма ла үҫешә бара. </p> <div class="mw-heading mw-heading3"><h3 id="Тарихҡа_хәтле_осор"><span id=".D0.A2.D0.B0.D1.80.D0.B8.D1.85.D2.A1.D0.B0_.D1.85.D3.99.D1.82.D0.BB.D0.B5_.D0.BE.D1.81.D0.BE.D1.80"></span>Тарихҡа хәтле осор</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=5" title="Тарихҡа хәтле осор бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=5" title="Тарихҡа хәтле осор бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Кеше әйберҙәрҙе бик борондан иҫәпләй белгән, шул саҡта уҡ натураль һандар төшөнсәһе барлыҡҡа килгән. Баштараҡ (отвлеченное число) исемһеҙ һан төшөнсәһе булмаған. Ул замандарҙа кеше бер төрлө исемле бер төр әйберҙәрҙе иҫәпләй алған, мәҫәлән, «өс кеше», «өс балта». Шул ваҡытта «бер кеше», «ике кеше», «өс кеше» һәм «бер балта», «ике балта», «өс балта» төшөнсәләре өсөн бер-береһенән айырылып торған «бер» «ике», «өс» төшөнсәләрен ҡулланғандар . Быны тәүтормош хәлендә йәшәгән халыҡтарҙың телен анализлау күрһәтә.Бындай исемләнгән һандар теҙмәһе бик ҡыҫҡа була һәм индивидуалләштерелмәгән «күп» төшөнсәһе менән тамамлана. Разные слова для большого количества предметов разного рода существуют и сейчас Бер төр булмаған күп дана әйберҙәр өсөн әле лә «бер көтөү», «бер өйөр», «бихисап халыҡ» кеүек төшөнсәләр ҡулланыла. Әйберҙәрҙе ябай иҫәпләү , эталон ролен үтәүсе булараҡ йөрөгән тәғәйен йыйын (күп)әйберҙе икенсе билдәле бер әйбер йыйыны(күплеге) менән сағыштырыу" («в сопоставлении предметов данной конкретной совокупности с предметами некоторой определённой совокупности, играющей как бы роль эталона»)<sup id="cite_ref-autogenerated2_2-0" class="reference"><a href="#cite_note-autogenerated2-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>, халыҡтарҙың күбеһендә ул эталон- бармаҡтар(«счёт на пальцах»). Быны тәүге һандарҙың исемдәрен лингвистик күҙлектән анализлау күрһәтә. Был баҫҡыста һан төшөнсәһе иҫәпләнә торған объекттың сифатына бәйләнмәй башлай. </p> <div class="mw-heading mw-heading3"><h3 id="Яҙма_барлыҡҡа_килеү"><span id=".D0.AF.D2.99.D0.BC.D0.B0_.D0.B1.D0.B0.D1.80.D0.BB.D1.8B.D2.A1.D2.A1.D0.B0_.D0.BA.D0.B8.D0.BB.D0.B5.D2.AF"></span>Яҙма барлыҡҡа килеү</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=6" title="Яҙма барлыҡҡа килеү бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=6" title="Яҙма барлыҡҡа килеү бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Һандарҙы билдәләү мөмкинлеге яҙма барлыҡҡа килеү менән арта . Тәүҙәрәк һандар яҙыу өсөн ҡулланылған материалда, мәҫәлән, папируста, балсыҡтан эшләнгән табличкаларҙа, һыҙыҡ менән билдәләнә, һуңыраҡ ҡайһы бер һандар өсөн айырым билдәләр (беҙҙең көндәргәсә һаҡланған «рим цифрҙары») һәм ҙур һандар өсөн билдәләр ҡулланыла башлай. Ҙур һандар булыуын, мәҫәлән, Вавилондағы шына яҙыу билдәләре һәм Кирилл иҫәп системаһында булған билдәләр дәлилләй. Һиндостанда һандарҙыурын алмаштырып яҙыу системаһы уйлап сығарылғас, теләһә ниндәй натураль һанды ун билдә аша яҙып була башлай .Был кешелек өсөн бик ҙур ҡаҙаныш була. Натураль рәттең сикһеҙлеген аңлау натураль һан төшөнсәһенең үҫешендә бик мөһим аҙым була. Был турала Евклид , Архимед хеҙмәттәрендә һәм башҡа беҙҙең эраға тиклемге 3 быуат антик донъя математикаһы ҡомартҡыларында иҫкә алына. Евклид үҙенең «Нигеҙҙәр» ((грек. Στοιχεῖα, лат. Elementa)тигән хеҙмәтендә ябай һандарҙы сикһеҙ дауам итеп булыуын күрһәтә. Шунда уҡ Евклид һанды — "бер һанынан төҙөлгән күплек " тип билдәләй. </p><p>Архимед «Псаммит» исемле хеҙмәтендә(боронғо грек. Ψαμμίτης,урыҫ. Исчисление песчинок) теләһә ниндәй ҙур һанды ла билдәләү принциптарын һүрәтләй. </p> <div class="mw-heading mw-heading3"><h3 id="Арифметиканың_барлыҡҡа_килеүе"><span id=".D0.90.D1.80.D0.B8.D1.84.D0.BC.D0.B5.D1.82.D0.B8.D0.BA.D0.B0.D0.BD.D1.8B.D2.A3_.D0.B1.D0.B0.D1.80.D0.BB.D1.8B.D2.A1.D2.A1.D0.B0_.D0.BA.D0.B8.D0.BB.D0.B5.D2.AF.D0.B5"></span>Арифметиканың барлыҡҡа килеүе</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=7" title="Арифметиканың барлыҡҡа килеүе бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=7" title="Арифметиканың барлыҡҡа килеүе бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ваҡыт үтеү менән һандар менән төрлө ғәмәлдәр башҡарыла башлай: башта ҡушыу һәм алыу, һуңыраҡ ҡабатлау һәм бүлеү. Бик оҙаҡ ваҡыт үткәс кенә был ғәмәлдәрҙең әйберҙәрҙе иҫәпләү һөҙөмтәһенә бәйле булмаған абстракт сифатлы икәнен аңлай башлайҙар, мәҫәлән, ике әйбер менән өс әйбер бергә, ниндәй сифатҡа әйә әйбер булыуына ҡарамаҫтан, биш әйбер . Шул саҡта ғәмәл ҡағиҙәләрен уйлап сығара башлайҙар, ғәмәл сифаттарын өйрәнәләр һәм мәсьәләләрҙе сисеү ысулдарын табалар, шул саҡта арифметика — һандар тураһында фән барлыҡҡа килә. Һандарҙың сифаттарын өйрәнеү ихтыяжы арифметика үҫеү процесында килеп сыға, ҡатмарлы законлыҡтары һәм уларҙың ғәмәлгә бәйле бер береһе менән бәйләнеше аңлайышлыға әйләнә, йоп һәм таҡ һан кластары, ябай һәм ҡатмарлы һандар һәм башҡа булдырыла. Хәҙер һандар теорияһы тип йөрөтөлгән математика бүлеге булдырыла. Натураль һандарҙың әйберҙең иҫәбен генә түгел, уның урынлашыу тәртибен дә күрһәтә ала икәнен аңлағас, рәт һандары булдырыла. Натураль һандарҙы (күнегелгән, ябай) нигеҙләү мәсьәләһе фәндә оҙаҡ ваҡыт ҡуйылмай. Тик 19 быуат уртаһында ғына математик анализ һәм математикала аксиоматик метод тәьҫире арҡаһында, иҫәпләү (количественный) натураль һан төшөнсәһен нигеҙләү хәжәте тыуа. Кәсерҙәрҙе ҡулланышҡа индереү үлсәү ихтыяжы менән бәйле һәм тарихта һан төшөнсәһенең тәүге киңәйтелеүе була . </p> <div class="mw-heading mw-heading3"><h3 id="Тиҫкәре_һандарҙы_ҡуллана_башлау"><span id=".D0.A2.D0.B8.D2.AB.D0.BA.D3.99.D1.80.D0.B5_.D2.BB.D0.B0.D0.BD.D0.B4.D0.B0.D1.80.D2.99.D1.8B_.D2.A1.D1.83.D0.BB.D0.BB.D0.B0.D0.BD.D0.B0_.D0.B1.D0.B0.D1.88.D0.BB.D0.B0.D1.83"></span>Тиҫкәре һандарҙы ҡуллана башлау</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=8" title="Тиҫкәре һандарҙы ҡуллана башлау бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=8" title="Тиҫкәре һандарҙы ҡуллана башлау бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Урта быуаттарҙа тиҫкәре һандарҙы бурыс йә иһә матди юғалтыуҙарҙы иҫәпләү өсөн ҡуллана башлағандар. Тиҫкәре һандарҙы индереү алгебраның фән булараҡ үҫешенә бәйле, был арифметика мәсьәләләрен уларҙың конкрет эстәлегенә,башта бирелгән һандарға ҡарамай сисергә мөмкинлек бирә. Алгебраға кире һандарҙы индереү . Тиҫкәре һандар Һиндостанда 6—11 быуаттарҙа уҡ ҡулланылған, әле нисек аңлатылһа, шулай уҡ аңлатылған. </p><p>Декарт аналитик геометрияны эшләп сығарғас, тиҫкәре һандар Европа фәнендә ныҡлы урын ала. Аналитик геометрия тигеҙләмә тамырын нидәйҙер бер кәкре һыҙыҡтың абсциссаалар үҙәге менән киҫелеш нөктәләре координаттары кеүек итеп ҡарау мөмкинлеген бирә,ә был тигеҙләмәнең ыңғай һәм тиҫкәре тамырҙары араһында приципиаль айырманы юҡҡа сығара . </p> <div class="mw-heading mw-heading3"><h3 id="Ысын_һандарҙы_индереү"><span id=".D0.AB.D1.81.D1.8B.D0.BD_.D2.BB.D0.B0.D0.BD.D0.B4.D0.B0.D1.80.D2.99.D1.8B_.D0.B8.D0.BD.D0.B4.D0.B5.D1.80.D0.B5.D2.AF"></span>Ысын һандарҙы индереү</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=9" title="Ысын һандарҙы индереү бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=9" title="Ысын һандарҙы индереү бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Боронғо Грецияла уҡ геометрияла бик мөһим асыш яһалған: бөтә теүәл бирелгән киҫәк үлсәнмәле дәүмәл булмай, башҡаса әйткәндә, не у каждого отрезка длина может быть выражена рациональным числом бөтә киҫәктәрҙең оҙонлоғо рациональ һан менән билдәләнә алмай, мәҫәлән, квадраттың бер яғы һәм диагональ. Евклидтың "Нигеҙҙәр"ендә киҫәктәрҙең үлсәнеү мөмкинлеген күҙ уңында тотҡан киҫәксәләрҙең бер береһенә бәйләнеше теорияһы тәфсирләнә. Боронғо Грецияла ундай бәйләнеште дәүмәле буйынса сағыштыра, уның менән геометриик рәүештә арифметик ғәмәлдәр эшләй белгәндәр . Гректар бындай бәйләнештәрҙе һандар, тип иҫәпләһәләр ҙә, үлсәнеп булмай торған киҫәксәләрҙең бер береһенә бәйләнешен һан тип ҡарап булғанын аңламағандар. Был хәҙерге заман математикаһы тыуған 17 быуатта ғына булдырыла . Исаак Ньютон «Дөйөм арифметика» тигән хеҙмәтендә ысын һандар төшөнсәһен бирә: «Һан тип беҙ берҙәрҙең күплеген түгел, бер дәүмәлдең икенсе шундай уҡ бер тип алған дәүмәлгә абстракт бәйләнешен аңлайбыҙ»(«Под числом мы понимаем не столько множество единиц, сколько отвлечённое отношение какой-нибудь величины к другой величине того же рода, принятой нами за единицу»). 1970-се йылдар тирәһендә ысын һан төшөнсәһе өҙлөкһөҙлөк төшөнсәһен анализлау нигеҙендә Р. Дедекинд, Г. Кантор и К. Вейерштрасс тарафынан теүәлерәк итеп бирелә. </p> <div class="mw-heading mw-heading3"><h3 id="Комплекслы_һандарҙы_индереү"><span id=".D0.9A.D0.BE.D0.BC.D0.BF.D0.BB.D0.B5.D0.BA.D1.81.D0.BB.D1.8B_.D2.BB.D0.B0.D0.BD.D0.B4.D0.B0.D1.80.D2.99.D1.8B_.D0.B8.D0.BD.D0.B4.D0.B5.D1.80.D0.B5.D2.AF"></span>Комплекслы һандарҙы индереү</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=10" title="Комплекслы һандарҙы индереү бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=10" title="Комплекслы һандарҙы индереү бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Алгебра үҫешеү менән комплекслы һандар булдырыу зарурлығы тыуа. Уларҙы ҡулланыуҙың законлығына ышанмау оҙаҡ ваҡыт һаҡлана һәм әле һаман һаҡланып килгән уйланма һан («мнимое»)терминында күренә. 16 быуатта уҡ Италия математиктарында (Дж. Кардано, Р. Бомбелли), комплекслы һандар булдырыу уйы тыуа. Эш шунда- квадрат тигеҙләмәне сығарғанда,әгәр квадрат тигеҙләмәнең ысын тамыры булмаһа, тиҫкәре һандан квадрат тамыр алыу ғәмәленә килтерә. Ошондай квадрат тигеҙләмәне сығарыу мәсьәләһенең сиселеше юҡ кеүек күренә. Өсөнсө дәрәжә тигеҙләмәләрҙе алгебраик сисеүҙе асҡас күренеүенсә, тигеҙләмәнең өс тамыры ла ысын булһа, иҫәпләү барышында тиҫкәре һандарҙан квардат тамыр алыу ғәмәлен башҡарыу кәрәк булып сыға. XVIII быуат аҙағында комплекслы һандарға яҫылыҡта ятыусы нөктәләр рәүешендә геометрик аңлатма биреү һәм комплекслы һандарҙы алгебраик тигеҙләмәләр теорияһына индереүҙең файҙаһын иҫбатлағандан һуң (бигерәк тә Л. Эйлер һәм К. Гаусстың эштәренән һуң), комплекслы һандар математиктар тарафынан таныла һәм алгебрала ғына түгел, математик анализда ла мөһим роль уйнай башлай. Комплекслы һандарҙың әһәмиәте бигерәк тә 19 быуатта комплекслы үҙгәреүсән функциялары теорияһы үҫешенә бәйле арта.<sup id="cite_ref-autogenerated2_2-1" class="reference"><a href="#cite_note-autogenerated2-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Шулай_уҡ_ҡарағыҙ"><span id=".D0.A8.D1.83.D0.BB.D0.B0.D0.B9_.D1.83.D2.A1_.D2.A1.D0.B0.D1.80.D0.B0.D2.93.D1.8B.D2.99"></span>Шулай уҡ ҡарағыҙ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=11" title="Шулай уҡ ҡарағыҙ бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=11" title="Шулай уҡ ҡарағыҙ бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="infobox sisterproject noprint wikidict-box"><figure class="mw-halign-left" typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:Wiktionary-logo-ru.png" class="mw-file-description" title="Викиһүҙлек логотипы"><img alt="Викиһүҙлек логотипы" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Wiktionary-logo-ru.png/50px-Wiktionary-logo-ru.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Wiktionary-logo-ru.png/75px-Wiktionary-logo-ru.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Wiktionary-logo-ru.png/100px-Wiktionary-logo-ru.png 2x" data-file-width="135" data-file-height="135" /></a><figcaption>Викиһүҙлек логотипы</figcaption></figure> Викиһүҙлектә <b><span class="wikidict-ref">«<a href="https://ba.wiktionary.org/wiki/%D2%BB%D0%B0%D0%BD" class="extiw" title="wikt:һан">һан»</a></span></b> мәҡәләһе бар</div> <ul><li><a href="/w/index.php?title=%D0%A1%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D1%8B_%D0%BD%D0%B0%D0%B8%D0%BC%D0%B5%D0%BD%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D1%8F_%D1%87%D0%B8%D1%81%D0%B5%D0%BB&action=edit&redlink=1" class="new" title="Системы наименования чисел (был бит юҡ)">Системы наименования чисел</a></li> <li><a href="/w/index.php?title=%D0%9E%D0%B1%D1%80%D0%B0%D1%82%D0%BD%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE&action=edit&redlink=1" class="new" title="Обратное число (был бит юҡ)">Обратное число</a></li> <li><a href="/w/index.php?title=%D0%9F%D1%81%D0%B5%D0%B2%D0%B4%D0%BE%D1%81%D0%BB%D1%83%D1%87%D0%B0%D0%B9%D0%BD%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE&action=edit&redlink=1" class="new" title="Псевдослучайное число (был бит юҡ)">Псевдослучайное число</a></li> <li><a href="/w/index.php?title=%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%B0&action=edit&redlink=1" class="new" title="Алгебраические числа (был бит юҡ)">Алгебраические числа</a></li> <li><a href="/w/index.php?title=%D0%A2%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%B8%D0%BD%D0%B8%D1%82%D0%BD%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE&action=edit&redlink=1" class="new" title="Трансфинитное число (был бит юҡ)">Трансфинитное число</a></li> <li><a href="/w/index.php?title=%D0%9D%D1%83%D0%BC%D0%B5%D1%80%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F&action=edit&redlink=1" class="new" title="Нумерология (был бит юҡ)">Нумерология</a></li> <li><a href="/wiki/%D0%90%D1%80%D0%B8%D1%84%D0%BC%D0%B5%D1%82%D0%B8%D0%BA%D0%B0" title="Арифметика">Арифметика</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Иҫкәрмәләр"><span id=".D0.98.D2.AB.D0.BA.D3.99.D1.80.D0.BC.D3.99.D0.BB.D3.99.D1.80"></span>Иҫкәрмәләр</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=12" title="Иҫкәрмәләр бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=12" title="Иҫкәрмәләр бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style=""> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation no-wikidata" data-wikidata-property-id="P1343"><span data-wikidata-qualifier-id="P248">Число</span> // <a rel="nofollow" class="external text" href="http://eqworld.ipmnet.ru/ru/library/books/Vinogradov_MatEnc_t5.djvu">Математическая энциклопедия (в 5 томах)</a>. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: <a href="/w/index.php?title=%D0%91%D0%BE%D0%BB%D1%8C%D1%88%D0%B0%D1%8F_%D0%A0%D0%BE%D1%81%D1%81%D0%B8%D0%B9%D1%81%D0%BA%D0%B0%D1%8F_%D1%8D%D0%BD%D1%86%D0%B8%D0%BA%D0%BB%D0%BE%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F_(%D0%B8%D0%B7%D0%B4%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D1%81%D1%82%D0%B2%D0%BE)&action=edit&redlink=1" class="new" title="Большая Российская энциклопедия (издательство) (был бит юҡ)">Советская Энциклопедия</a>, 1982. — Т. 5.</span></span> </li> <li id="cite_note-autogenerated2-2"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-autogenerated2_2-0">2,0</a></sup> <sup><a href="#cite_ref-autogenerated2_2-1">2,1</a></sup></span> <span class="reference-text"><i>[ Число (матем.)]</i> — Ҙур совет энциклопедияһында мәҡәлә</span> </li> </ol> </div> <div class="mw-heading mw-heading2"><h2 id="Әҙәбиәт"><span id=".D3.98.D2.99.D3.99.D0.B1.D0.B8.D3.99.D1.82"></span>Әҙәбиәт</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=13" title="Әҙәбиәт бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=13" title="Әҙәбиәт бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFМатвиевская_Г._П.1967"><i>Матвиевская Г. П.</i> Учение о числе на средневековом Ближнем и Среднем Востоке. — Ташкент: ФАН, 1967. — 344 с.</span> Вопреки названию, книга прослеживает историю понятия числа с самых древних времён.</li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFМеннингер2011"><i>Меннингер К.</i> История цифр. Числа, символы, слова. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: ЗАО Центрполиграф, 2011. — 543 с. — <a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9A%D0%B8%D1%82%D0%B0%D0%BF_%D1%81%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80%D1%8B/9785952449787" class="internal mw-magiclink-isbn">ISBN 9785952449787</a>.</span></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFПонтрягин1986"><i>Понтрягин Л. С.</i> <a rel="nofollow" class="external text" href="http://ilib.mccme.ru/djvu/bib-kvant/pontrjagin.htm">Обобщения чисел</a>. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>.: Наука, 1986. — 120 с. — (<a href="/w/index.php?title=%D0%91%D0%B8%D0%B1%D0%BB%D0%B8%D0%BE%D1%82%D0%B5%D1%87%D0%BA%D0%B0_%C2%AB%D0%9A%D0%B2%D0%B0%D0%BD%D1%82%C2%BB&action=edit&redlink=1" class="new" title="Библиотечка «Квант» (был бит юҡ)">Библиотечка «Квант»</a>).</span></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343" id="CITEREFIfrah2000"><i>Ifrah G.</i> The Universal History of Numbers. — John Wiley & Sons, 2000. — 635 p. — <a href="/wiki/%D0%9C%D0%B0%D1%85%D1%81%D1%83%D1%81:%D0%9A%D0%B8%D1%82%D0%B0%D0%BF_%D1%81%D1%8B%D2%93%D0%B0%D0%BD%D0%B0%D2%A1%D1%82%D0%B0%D1%80%D1%8B/0471393401" class="internal mw-magiclink-isbn">ISBN 0471393401</a>.</span> <span class="ref-info" title="Инглиз телендә" style="font-size:85%; cursor:help; color:var(--color-subtle, #54595d);">(инг.)</span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Һылтанмалар"><span id=".D2.BA.D1.8B.D0.BB.D1.82.D0.B0.D0.BD.D0.BC.D0.B0.D0.BB.D0.B0.D1.80"></span>Һылтанмалар</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&veaction=edit&section=14" title="Һылтанмалар бүлеген мөхәррирләргә" class="mw-editsection-visualeditor"><span>үҙгәртергә</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D2%BA%D0%B0%D0%BD&action=edit&section=14" title="Һылтанмалар бүлегенең сығанаҡ кодын мөхәррирләү"><span>сығанаҡты үҙгәртеү</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.vokrugsveta.ru/quiz/?item_id=310">Вокруг света: Какое число самое большое?</a></li> <li><a rel="nofollow" class="external text" href="http://gramota.ru/biblio/magazines/nauka_i_zhizn/28_666">Грамота.ру: История происхождения слов «число» и «цифра», статья из журнала «Наука и жизнь»</a> <small><span style="white-space: nowrap;"> 2011 йыл 17 август <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110817112722/http://gramota.ru/biblio/magazines/nauka_i_zhizn/28_666">архивланған</a>.</span></small></li> <li><span class="citation no-wikidata" data-wikidata-property-id="P1343"><i>Кириллов А. А.</i> <a rel="nofollow" class="external text" href="http://ilib.mccme.ru/djvu/chislo.htm">Что такое число?</a>. — <span style="border-bottom:1px dotted gray; cursor:default" title="Москва">М</span>., 1993.</span></li></ul> <table class="plainlinks metadata ambox ambox-style" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><figure class="noresize" typeof="mw:File"><a href="/wiki/%D0%A4%D0%B0%D0%B9%D0%BB:%D0%AF%D2%A3%D1%8B_%D0%BC%D3%99%D2%A1%D3%99%D0%BB%D3%99_%D1%8F%D2%99%D1%8B%D1%83" title="Мәҡәләне яҡшыртыу"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/40px-Wiki_letter_w.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/60px-Wiki_letter_w.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Wiki_letter_w.svg/80px-Wiki_letter_w.svg.png 2x" data-file-width="44" data-file-height="44" /></a><figcaption></figcaption></figure></div></td><td class="mbox-text"><div class="mbox-text-div"><b>Был мәҡәләгә түбәндәгеләр етешмәй. Ошоларҙы төҙәтеп йә өҫтәп, һеҙ уны яҡшырта алаһығыҙ<sup style="line-height:0;font-weight:bold"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:Rq" class="mw-redirect" title="Википедия:Rq">?</a></sup>:</b></div><div class="mbox-textsmall-div hide-when-compact" style="font-size:85%"><ul> <li><span style="color:#FF0000"><b><span style="color:#708090" class="wp-templatelink">{{<a href="/wiki/%D2%A0%D0%B0%D0%BB%D1%8B%D0%BF:Rq" title="Ҡалып:Rq">Rq</a>}}</span> ҡалыбында параметр хаталы ҡулланылған. Ҡалып ҡулланыуын тикшерегеҙ йәки <a href="/wiki/%D2%A0%D0%B0%D0%BB%D1%8B%D0%BF:Rq/doc" title="Ҡалып:Rq/doc">документация</a> битен ҡарағыҙ.</b></span></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li><li class="mw-empty-elt"></li></ul></div></td></tr></tbody></table> <p><a href="/w/index.php?title=%D2%A0%D0%B0%D0%BB%D1%8B%D0%BF:%D0%A7%D0%B8%D1%81%D0%BB%D0%B0&action=edit&redlink=1" class="new" title="Ҡалып:Числа (был бит юҡ)">Ҡалып:Числа</a> <a href="/w/index.php?title=%D2%A0%D0%B0%D0%BB%D1%8B%D0%BF:%D0%A7%D0%B8%D1%81%D0%BB%D0%B0_%D1%81_%D1%81%D0%BE%D0%B1%D1%81%D1%82%D0%B2%D0%B5%D0%BD%D0%BD%D1%8B%D0%BC%D0%B8_%D0%B8%D0%BC%D0%B5%D0%BD%D0%B0%D0%BC%D0%B8&action=edit&redlink=1" class="new" title="Ҡалып:Числа с собственными именами (был бит юҡ)">Ҡалып:Числа с собственными именами</a> </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; 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