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<span>Numeri naturales</span> </div> </a> <ul id="toc-Numeri_naturales-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numeri_integri" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Numeri_integri"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Numeri integri</span> </div> </a> <ul id="toc-Numeri_integri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numeri_irrationales" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Numeri_irrationales"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Numeri irrationales</span> </div> </a> <ul id="toc-Numeri_irrationales-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numeri_transcendentes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Numeri_transcendentes"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Numeri transcendentes</span> </div> </a> <ul id="toc-Numeri_transcendentes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numeri_imaginarii" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Numeri_imaginarii"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Numeri imaginarii</span> </div> </a> <ul id="toc-Numeri_imaginarii-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Systemata_numerica" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Systemata_numerica"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Systemata numerica</span> </div> </a> <ul id="toc-Systemata_numerica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Historia_numerorum" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Historia_numerorum"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Historia numerorum</span> </div> </a> <ul id="toc-Historia_numerorum-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notae" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notae"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Notae</span> </div> </a> <ul id="toc-Notae-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bibliographia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bibliographia"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Bibliographia</span> </div> </a> <ul id="toc-Bibliographia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Nexus_externi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Nexus_externi"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Nexus externi</span> </div> </a> <ul id="toc-Nexus_externi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Nexus_interni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Nexus_interni"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Nexus interni</span> </div> </a> <ul id="toc-Nexus_interni-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="Index" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" 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Available in 191 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-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 languages</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 – Africana" lang="af" hreflang="af" data-title="Getal" data-language-autonym="Afrikaans" data-language-local-name="Africana" 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 – Alemannic" lang="gsw" hreflang="gsw" data-title="Zahl" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%81%E1%8C%A5%E1%88%AD" title="ቁጥር – Amharica" lang="am" hreflang="am" data-title="ቁጥር" data-language-autonym="አማርኛ" data-language-local-name="Amharica" 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 – Aragonensis" lang="an" hreflang="an" data-title="Numero" data-language-autonym="Aragonés" data-language-local-name="Aragonensis" 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 – Old English" lang="ang" hreflang="ang" data-title="Rīm" data-language-autonym="Ænglisc" data-language-local-name="Old English" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या – Angika" lang="anp" hreflang="anp" data-title="संख्या" data-language-autonym="अंगिका" data-language-local-name="Angika" 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 – Arabica" lang="ar" hreflang="ar" data-title="عدد" data-language-autonym="العربية" data-language-local-name="Arabica" 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 – Aramaic" lang="arc" hreflang="arc" data-title="ܡܢܝܢܐ" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="Aramaic" 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 – Assamica" lang="as" hreflang="as" data-title="সংখ্যা" data-language-autonym="অসমীয়া" data-language-local-name="Assamica" 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 – Asturian" lang="ast" hreflang="ast" data-title="Númberu" data-language-autonym="Asturianu" data-language-local-name="Asturian" 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 – Atikamekw" lang="atj" hreflang="atj" data-title="Akitasowin" data-language-autonym="Atikamekw" data-language-local-name="Atikamekw" 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 – Atropatenica" lang="az" hreflang="az" data-title="Ədəd" data-language-autonym="Azərbaycanca" data-language-local-name="Atropatenica" 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-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D2%BA%D0%B0%D0%BD" title="Һан – Bashkir" lang="ba" hreflang="ba" data-title="Һан" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/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 – Ruthenica Alba" lang="be" hreflang="be" data-title="Лік" data-language-autonym="Беларуская" data-language-local-name="Ruthenica Alba" 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 – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Лік" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число – Bulgarica" lang="bg" hreflang="bg" data-title="Число" data-language-autonym="Български" data-language-local-name="Bulgarica" 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 – Bihari" lang="bh" hreflang="bh" data-title="नंबर" data-language-autonym="भोजपुरी" data-language-local-name="Bihari" 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 – Bengalica" lang="bn" hreflang="bn" data-title="সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="Bengalica" 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། – Tibetana" lang="bo" hreflang="bo" data-title="གྲངས་ཀ།" data-language-autonym="བོད་ཡིག" data-language-local-name="Tibetana" 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 – Britonica" lang="br" hreflang="br" data-title="Niver" data-language-autonym="Brezhoneg" data-language-local-name="Britonica" 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 – Bosnica" lang="bs" hreflang="bs" data-title="Broj" data-language-autonym="Bosanski" data-language-local-name="Bosnica" 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 – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Тоо" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://ca.wikipedia.org/wiki/Nombre" title="Nombre – Catalana" lang="ca" hreflang="ca" data-title="Nombre" data-language-autonym="Català" data-language-local-name="Catalana" 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 – Choctaw" lang="cho" hreflang="cho" data-title="Hohltina" data-language-autonym="Chahta anumpa" data-language-local-name="Choctaw" 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 – Central Kurdish" lang="ckb" hreflang="ckb" data-title="ژمارە" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Numeru" title="Numeru – Corsa" lang="co" hreflang="co" data-title="Numeru" data-language-autonym="Corsu" data-language-local-name="Corsa" 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 – Cree" lang="cr" hreflang="cr" data-title="ᐊᑭᐦᑖᓱᐣ" data-language-autonym="Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ" data-language-local-name="Cree" 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 – Bohemica" lang="cs" hreflang="cs" data-title="Číslo" data-language-autonym="Čeština" data-language-local-name="Bohemica" 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 – Slavonica antiqua" lang="cu" hreflang="cu" data-title="Чисмѧ" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="Slavonica antiqua" 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 – Chuvassica" lang="cv" hreflang="cv" data-title="Хисеп" data-language-autonym="Чӑвашла" data-language-local-name="Chuvassica" 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 – Cambrica" lang="cy" hreflang="cy" data-title="Rhif" data-language-autonym="Cymraeg" data-language-local-name="Cambrica" 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 – Danica" lang="da" hreflang="da" data-title="Tal" data-language-autonym="Dansk" data-language-local-name="Danica" 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 – Germanica" lang="de" hreflang="de" data-title="Zahl" data-language-autonym="Deutsch" data-language-local-name="Germanica" 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 – Graeca" lang="el" hreflang="el" data-title="Αριθμός" data-language-autonym="Ελληνικά" data-language-local-name="Graeca" 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 – Anglica" lang="en" hreflang="en" data-title="Number" data-language-autonym="English" data-language-local-name="Anglica" 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 – Esperantica" lang="eo" hreflang="eo" data-title="Nombro" data-language-autonym="Esperanto" data-language-local-name="Esperantica" 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 – Hispanica" lang="es" hreflang="es" data-title="Número" data-language-autonym="Español" data-language-local-name="Hispanica" 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 – Estonica" lang="et" hreflang="et" data-title="Arv" data-language-autonym="Eesti" data-language-local-name="Estonica" 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 – Vasconica" lang="eu" hreflang="eu" data-title="Zenbaki" data-language-autonym="Euskara" data-language-local-name="Vasconica" 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 – Persica" lang="fa" hreflang="fa" data-title="عدد" data-language-autonym="فارسی" data-language-local-name="Persica" 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 – Fula" lang="ff" hreflang="ff" data-title="Limle" data-language-autonym="Fulfulde" data-language-local-name="Fula" 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 – Finnica" lang="fi" hreflang="fi" data-title="Luku" data-language-autonym="Suomi" data-language-local-name="Finnica" 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 – Võro" lang="vro" hreflang="vro" data-title="Arv" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Naba" title="Naba – Fijian" lang="fj" hreflang="fj" data-title="Naba" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="Fijian" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Tal" title="Tal – Faroensis" lang="fo" hreflang="fo" data-title="Tal" data-language-autonym="Føroyskt" data-language-local-name="Faroensis" 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 – Francogallica" lang="fr" hreflang="fr" data-title="Nombre" data-language-autonym="Français" data-language-local-name="Francogallica" 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 – Northern Frisian" lang="frr" hreflang="frr" data-title="Taal" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" 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 – Western Frisian" lang="fy" hreflang="fy" data-title="Getal" data-language-autonym="Frysk" data-language-local-name="Western Frisian" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Uimhir" title="Uimhir – Hibernica" lang="ga" hreflang="ga" data-title="Uimhir" data-language-autonym="Gaeilge" data-language-local-name="Hibernica" 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 – Gan" lang="gan" hreflang="gan" data-title="數" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/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 – Scotica" lang="gd" hreflang="gd" data-title="Àireamh" data-language-autonym="Gàidhlig" data-language-local-name="Scotica" 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 – Gallaica" lang="gl" hreflang="gl" data-title="Número" data-language-autonym="Galego" data-language-local-name="Gallaica" 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 – Guaranica" lang="gn" hreflang="gn" data-title="Papapy" data-language-autonym="Avañe'ẽ" data-language-local-name="Guaranica" 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 – Hausa" lang="ha" hreflang="ha" data-title="Lamba" data-language-autonym="Hausa" data-language-local-name="Hausa" 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 – Hawaiian" lang="haw" hreflang="haw" data-title="Nā helu" data-language-autonym="Hawaiʻi" data-language-local-name="Hawaiian" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8" title="מספר – Hebrew" lang="he" hreflang="he" data-title="מספר" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या – Hindica" lang="hi" hreflang="hi" data-title="संख्या" data-language-autonym="हिन्दी" data-language-local-name="Hindica" 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 – Croatica" lang="hr" hreflang="hr" data-title="Broj" data-language-autonym="Hrvatski" data-language-local-name="Croatica" 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 – Creolus Haitianus" lang="ht" hreflang="ht" data-title="Nonm" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Creolus Haitianus" 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 – Hungarica" lang="hu" hreflang="hu" data-title="Szám" data-language-autonym="Magyar" data-language-local-name="Hungarica" 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 – Armenica" lang="hy" hreflang="hy" data-title="Թիվ" data-language-autonym="Հայերեն" data-language-local-name="Armenica" 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 – Western Armenian" lang="hyw" hreflang="hyw" data-title="Թիւ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" 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 – Interlingua" lang="ia" hreflang="ia" data-title="Numero" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Lumur" title="Lumur – Iban" lang="iba" hreflang="iba" data-title="Lumur" data-language-autonym="Jaku Iban" data-language-local-name="Iban" class="interlanguage-link-target"><span>Jaku Iban</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan" title="Bilangan – Indonesian" lang="id" hreflang="id" data-title="Bilangan" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Numero" title="Numero – Iloko" lang="ilo" hreflang="ilo" data-title="Numero" data-language-autonym="Ilokano" data-language-local-name="Iloko" 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 – Ido" lang="io" hreflang="io" data-title="Nombro" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Tala_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Tala (stærðfræði) – Islandica" lang="is" hreflang="is" data-title="Tala (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="Islandica" 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 – Italiana" lang="it" hreflang="it" data-title="Numero" data-language-autonym="Italiano" data-language-local-name="Italiana" 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 – Iaponica" lang="ja" hreflang="ja" data-title="数" data-language-autonym="日本語" data-language-local-name="Iaponica" 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 – Lojban" lang="jbo" hreflang="jbo" data-title="namcu" data-language-autonym="La .lojban." data-language-local-name="Lojban" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Wilangan_(mat%C3%A9matika)" title="Wilangan (matématika) – Iavensis" lang="jv" hreflang="jv" data-title="Wilangan (matématika)" data-language-autonym="Jawa" data-language-local-name="Iavensis" 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 – Georgiana" lang="ka" hreflang="ka" data-title="რიცხვი" data-language-autonym="ქართული" data-language-local-name="Georgiana" 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 – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="San" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Am%E1%B8%8Dan" title="Amḍan – Kabyle" lang="kab" hreflang="kab" data-title="Amḍan" data-language-autonym="Taqbaylit" data-language-local-name="Kabyle" 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 – Cazachica" lang="kk" hreflang="kk" data-title="Сан" data-language-autonym="Қазақша" data-language-local-name="Cazachica" 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 – Cannadica" lang="kn" hreflang="kn" data-title="ಸಂಖ್ಯೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Cannadica" 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) – Coreana" lang="ko" hreflang="ko" data-title="수 (수학)" data-language-autonym="한국어" data-language-local-name="Coreana" 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 – Casmirica" lang="ks" hreflang="ks" data-title="گرَٛنٛد" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="Casmirica" 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 – Curdica" lang="ku" hreflang="ku" data-title="Hejmar" data-language-autonym="Kurdî" data-language-local-name="Curdica" 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 – Cornubica" lang="kw" hreflang="kw" data-title="Niver" data-language-autonym="Kernowek" data-language-local-name="Cornubica" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Zuel" title="Zuel – Luxemburgica" lang="lb" hreflang="lb" data-title="Zuel" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxemburgica" 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 – Lak" lang="lbe" hreflang="lbe" data-title="Аьдад" data-language-autonym="Лакку" data-language-local-name="Lak" 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 – Ganda" lang="lg" hreflang="lg" data-title="Ennamba" data-language-autonym="Luganda" data-language-local-name="Ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Getal" title="Getal – Limburgica" lang="li" hreflang="li" data-title="Getal" data-language-autonym="Limburgs" data-language-local-name="Limburgica" 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 – Lombard" lang="lmo" hreflang="lmo" data-title="Numer" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%88%E0%BA%B3%E0%BA%99%E0%BA%A7%E0%BA%99" title="ຈຳນວນ – Lao" lang="lo" hreflang="lo" data-title="ຈຳນວນ" data-language-autonym="ລາວ" data-language-local-name="Lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Skai%C4%8Dius" title="Skaičius – Lithuanica" lang="lt" hreflang="lt" data-title="Skaičius" data-language-autonym="Lietuvių" data-language-local-name="Lithuanica" 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 – Lettonica" lang="lv" hreflang="lv" data-title="Skaitlis" data-language-autonym="Latviešu" data-language-local-name="Lettonica" 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 – Maithili" lang="mai" hreflang="mai" data-title="अंक" data-language-autonym="मैथिली" data-language-local-name="Maithili" 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 – Malagasiana" lang="mg" hreflang="mg" data-title="Isa" data-language-autonym="Malagasy" data-language-local-name="Malagasiana" 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 – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Шотпал" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%91%D1%80%D0%BE%D1%98" title="Број – Macedonica" lang="mk" hreflang="mk" data-title="Број" data-language-autonym="Македонски" data-language-local-name="Macedonica" 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 – Malabarica" lang="ml" hreflang="ml" data-title="സംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="Malabarica" 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 – Mongolica" lang="mn" hreflang="mn" data-title="Тоо" data-language-autonym="Монгол" data-language-local-name="Mongolica" 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 – Marathica" lang="mr" hreflang="mr" data-title="संख्या" data-language-autonym="मराठी" data-language-local-name="Marathica" 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 – Malayana" lang="ms" hreflang="ms" data-title="Nombor" data-language-autonym="Bahasa Melayu" data-language-local-name="Malayana" 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 – Mirandese" lang="mwl" hreflang="mwl" data-title="Númaro" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%80%E1%80%AD%E1%80%94%E1%80%BA%E1%80%B8" title="ကိန်း – Birmanica" lang="my" hreflang="my" data-title="ကိန်း" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Birmanica" 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 – Mazanderani" lang="mzn" hreflang="mzn" data-title="اشمارک" data-language-autonym="مازِرونی" data-language-local-name="Mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/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 – Low German" lang="nds" hreflang="nds" data-title="Tahl" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" 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 – Nepalensis" lang="ne" hreflang="ne" data-title="अङ्क" data-language-autonym="नेपाली" data-language-local-name="Nepalensis" 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 – Newari" lang="new" hreflang="new" data-title="ल्याः" data-language-autonym="नेपाल भाषा" data-language-local-name="Newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Getal_(wiskunde)" title="Getal (wiskunde) – Batava" lang="nl" hreflang="nl" data-title="Getal (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="Batava" 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 – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Tal" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Tall" title="Tall – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Tall" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/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 – Northern Sotho" lang="nso" hreflang="nso" data-title="Nomoro" data-language-autonym="Sesotho sa Leboa" data-language-local-name="Northern Sotho" 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 – Occitana" lang="oc" hreflang="oc" data-title="Nombre" data-language-autonym="Occitan" data-language-local-name="Occitana" 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 – Ossetica" lang="os" hreflang="os" data-title="Нымæц" data-language-autonym="Ирон" data-language-local-name="Ossetica" 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 – Panjabica" lang="pa" hreflang="pa" data-title="ਅੰਕ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Panjabica" 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 – Polonica" lang="pl" hreflang="pl" data-title="Liczba" data-language-autonym="Polski" data-language-local-name="Polonica" 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 – Afganica" lang="ps" hreflang="ps" data-title="عدد" data-language-autonym="پښتو" data-language-local-name="Afganica" 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 – Lusitana" lang="pt" hreflang="pt" data-title="Número" data-language-autonym="Português" data-language-local-name="Lusitana" 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 – Quechuae" lang="qu" hreflang="qu" data-title="Yupay" data-language-autonym="Runa Simi" data-language-local-name="Quechuae" 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 – Dacoromanica" lang="ro" hreflang="ro" data-title="Număr" data-language-autonym="Română" data-language-local-name="Dacoromanica" 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 – Aromanian" lang="rup" hreflang="rup" data-title="Numiru" data-language-autonym="Armãneashti" data-language-local-name="Aromanian" 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 – Russica" lang="ru" hreflang="ru" data-title="Число" data-language-autonym="Русский" data-language-local-name="Russica" 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 – Rusyn" lang="rue" hreflang="rue" data-title="Чісло" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83" title="संख्याः – Sanscrita" lang="sa" hreflang="sa" data-title="संख्याः" data-language-autonym="संस्कृतम्" data-language-local-name="Sanscrita" 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 – Yakut" lang="sah" hreflang="sah" data-title="Ахсаан" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/N%C3%B9mmuru" title="Nùmmuru – Sicilian" lang="scn" hreflang="scn" data-title="Nùmmuru" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" 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 – Sindhuica" lang="sd" hreflang="sd" data-title="انگ" data-language-autonym="سنڌي" data-language-local-name="Sindhuica" 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 – Sango" lang="sg" hreflang="sg" data-title="Nömörö" data-language-autonym="Sängö" data-language-local-name="Sango" 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 – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Broj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Am%E1%B8%8Dan" title="Amḍan – Tachelhit" lang="shi" hreflang="shi" data-title="Amḍan" data-language-autonym="Taclḥit" data-language-local-name="Tachelhit" 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) – Slovaca" lang="sk" hreflang="sk" data-title="Číslo (matematika)" data-language-autonym="Slovenčina" data-language-local-name="Slovaca" 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 – Slovena" lang="sl" hreflang="sl" data-title="Število" data-language-autonym="Slovenščina" data-language-local-name="Slovena" 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 – Shona" lang="sn" hreflang="sn" data-title="Nhamba" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Thiin_(cillanaad)" title="Thiin (cillanaad) – Somalica" lang="so" hreflang="so" data-title="Thiin (cillanaad)" data-language-autonym="Soomaaliga" data-language-local-name="Somalica" 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 – Albanica" lang="sq" hreflang="sq" data-title="Numri" data-language-autonym="Shqip" data-language-local-name="Albanica" 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 – Serbica" lang="sr" hreflang="sr" data-title="Број" data-language-autonym="Српски / srpski" data-language-local-name="Serbica" 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 – Sundanese" lang="su" hreflang="su" data-title="Wilangan" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Tal" title="Tal – Suecica" lang="sv" hreflang="sv" data-title="Tal" data-language-autonym="Svenska" data-language-local-name="Suecica" 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 – Suahili" lang="sw" hreflang="sw" data-title="Namba" data-language-autonym="Kiswahili" data-language-local-name="Suahili" 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 – Silesian" lang="szl" hreflang="szl" data-title="Nůmera" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="எண் – Tamulica" lang="ta" hreflang="ta" data-title="எண்" data-language-autonym="தமிழ்" data-language-local-name="Tamulica" 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 – Telingana" lang="te" hreflang="te" data-title="సంఖ్య" data-language-autonym="తెలుగు" data-language-local-name="Telingana" 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 – Tadzikica" lang="tg" hreflang="tg" data-title="Адад" data-language-autonym="Тоҷикӣ" data-language-local-name="Tadzikica" 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 – Thai" lang="th" hreflang="th" data-title="จำนวน" data-language-autonym="ไทย" data-language-local-name="Thai" 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 – Tigrinya" lang="ti" hreflang="ti" data-title="ቁጽሪ" data-language-autonym="ትግርኛ" data-language-local-name="Tigrinya" 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 – Turcomannica" lang="tk" hreflang="tk" data-title="San" data-language-autonym="Türkmençe" data-language-local-name="Turcomannica" 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 – Tagalog" lang="tl" hreflang="tl" data-title="Bilang" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Say%C4%B1" title="Sayı – Turcica" lang="tr" hreflang="tr" data-title="Sayı" data-language-autonym="Türkçe" data-language-local-name="Turcica" 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 – Tsonga" lang="ts" hreflang="ts" data-title="Nomboro" data-language-autonym="Xitsonga" data-language-local-name="Tsonga" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BD" title="Сан – Tatarica" lang="tt" hreflang="tt" data-title="Сан" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatarica" 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 – Tumbuka" lang="tum" hreflang="tum" data-title="Chipendero" data-language-autonym="ChiTumbuka" data-language-local-name="Tumbuka" 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 – Udmurt" lang="udm" hreflang="udm" data-title="Лыд" data-language-autonym="Удмурт" data-language-local-name="Udmurt" class="interlanguage-link-target"><span>Удмурт</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число – Ucrainica" lang="uk" hreflang="uk" data-title="Число" data-language-autonym="Українська" data-language-local-name="Ucrainica" 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 – Urdu" lang="ur" hreflang="ur" data-title="عدد" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Son" title="Son – Uzbecica" lang="uz" hreflang="uz" data-title="Son" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbecica" 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 – Venetian" lang="vec" hreflang="vec" data-title="Nùmaro" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Lugu" title="Lugu – Veps" lang="vep" hreflang="vep" data-title="Lugu" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91" title="Số – Vietnamica" lang="vi" hreflang="vi" data-title="Số" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamica" 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 – Waray" lang="war" hreflang="war" data-title="Ihap" data-language-autonym="Winaray" data-language-local-name="Waray" 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 – Wu" lang="wuu" hreflang="wuu" data-title="数" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%A2%D0%BE%D0%B9%D0%B3" title="Тойг – Kalmyk" lang="xal" hreflang="xal" data-title="Тойг" data-language-autonym="Хальмг" data-language-local-name="Kalmyk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/INANI" title="INANI – Xhosa" lang="xh" hreflang="xh" data-title="INANI" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%A3" title="რიცხუ – Mingrelian" lang="xmf" hreflang="xmf" data-title="რიცხუ" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A6%D7%90%D7%9C" title="צאל – Yiddish" lang="yi" hreflang="yi" data-title="צאל" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/N%E1%BB%8D%CC%81mb%C3%A0" title="Nọ́mbà – Yoruba" lang="yo" hreflang="yo" data-title="Nọ́mbà" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" 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 – Standard Moroccan Tamazight" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴹⴰⵏ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="Standard Moroccan Tamazight" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%95%B0" title="数 – Sinica" lang="zh" hreflang="zh" data-title="数" data-language-autonym="中文" data-language-local-name="Sinica" 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 – Minnan" lang="nan" hreflang="nan" data-title="Sò͘-ba̍k" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" 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 – Cantonese" lang="yue" hreflang="yue" data-title="數" data-language-autonym="粵語" data-language-local-name="Cantonese" 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 – Zuluana" lang="zu" hreflang="zu" data-title="Inombolo" data-language-autonym="IsiZulu" 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class="mw-content-ltr mw-parser-output" lang="la" dir="ltr"><div style="display: flow-root; background-color: rgba(0, 0, 0, .0875); margin: 1em; padding: .1em 1em; text-align: left; font-style: italic; border-radius: .25em;">Vide etiam paginam discretivam: <a href="/wiki/Numeri_(discretiva)" class="mw-disambig" title="Numeri (discretiva)">Numeri (discretiva)</a>.</div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fasciculus:Maya.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Maya.svg/200px-Maya.svg.png" decoding="async" width="200" height="256" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Maya.svg/300px-Maya.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Maya.svg/400px-Maya.svg.png 2x" data-file-width="250" data-file-height="320" /></a><figcaption>Numeri Mayorum Indorum <a href="/wiki/America_Meridionalis" class="mw-redirect" title="America Meridionalis">Americae meridionalis.</a></figcaption></figure> <p><b>Numerus</b> (i, m.) est cogitatio, quae finitam multitudinem ex unitatibus constitutam describit. Numeris homines multa ordinant sicut <a href="/wiki/Tempus" title="Tempus">tempus</a>, <a href="/wiki/Pecunia" title="Pecunia">divitias</a>, et <a href="/wiki/Longitudo" title="Longitudo">longitudinem</a>, res quoque minoris momenti, sicut locos in ordine sive <a href="/wiki/Numerus_telephonicus" title="Numerus telephonicus">cursus telephonicos</a>. </p><p>Tesseris et inscriptionibus in ossibus lapidibusque inventis, usus numerorum primus fertur fuisse annorum fere 35 000 <a href="/wiki/Aera_vulgaris" title="Aera vulgaris">ante aer. vulg.</a>, inde per saecula artes colebamus quibus <a href="/w/index.php?title=Operatio_mathematica&action=edit&redlink=1" class="new" title="Operatio mathematica (non est haec pagina)">operationes</a> cum numeris facilius callidiusque faceremus. Earum sunt simplices <a href="/wiki/Additio" title="Additio">additio</a>, <a href="/wiki/Subtractio" title="Subtractio">subtractio</a>, <a href="/wiki/Multiplicatio" title="Multiplicatio">multiplicatio</a>, et <a href="/wiki/Divisio_(mathematica)" title="Divisio (mathematica)">divisio</a>, e quibus artes elegantiores sicut <a href="/wiki/Calculus_infinitesimalis" title="Calculus infinitesimalis">calculus infinitesimalis</a> et <a href="/wiki/Trigonometria" title="Trigonometria">trigonometria</a> lente creverunt. Inventiones usus harum artium plane monstrant numeros omnes non aequales esse, etiam monstrant necessitudine exstare numeroros plus minusve difficiles intellectu. In <a href="/wiki/Mathematica" title="Mathematica">mathematica</a> ergo numeri possunt esse quoque multitudines <a href="/wiki/Numerus_integer" title="Numerus integer">negativae</a>, <a href="/wiki/Infinitas" title="Infinitas">infinitae</a>, <a href="/wiki/Numerus_realis" title="Numerus realis">decimales</a>, sive <a href="/wiki/Numerus_imaginarius" class="mw-redirect" title="Numerus imaginarius">impossibiles ac theoreticae</a>. </p><p>Symbola quibus scribimus numeros sunt <a href="/wiki/Cifra" title="Cifra">cifrae</a> in <a href="/wiki/Systema_numerale" title="Systema numerale">systemate numerali</a>, vulgo autem <i>numeri</i> quoque appellantur. Licet systema numerale unum facile a variis culturis linguisque usurpetur, <a href="/wiki/Nomina_numeralia" class="mw-redirect" title="Nomina numeralia">nomina numeralia</a> sunt autem linguae praecipua. Ratio, qua numeri ordinantur, est <a href="/w/index.php?title=Systema_numericum&action=edit&redlink=1" class="new" title="Systema numericum (non est haec pagina)">systema numericum</a>. Latissime adhibetur <a href="/wiki/Systema_numericum_decimale" title="Systema numericum decimale">systema decimale</a>, systemata <a href="/w/index.php?title=Systema_numericum_duodecimale&action=edit&redlink=1" class="new" title="Systema numericum duodecimale (non est haec pagina)">duodecimale</a> et <a href="/w/index.php?title=Systema_numericum_sexagesimale&action=edit&redlink=1" class="new" title="Systema numericum sexagesimale (non est haec pagina)">sexagesimale</a> interdum inveniuntur. <a href="/wiki/Computatrum" title="Computatrum">Computatra</a> utuntur <a href="/wiki/Systema_numericum_binarium" title="Systema numericum binarium">systemate binario</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Etymologia">Etymologia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=1" title="Recensere partem: Etymologia" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=1" title="Edit section's source code: Etymologia"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De <a href="/wiki/Etymologia" title="Etymologia">etymologia</a> ambigitur, sed nihil obstat, quin <i>numerus</i> ante <a href="/wiki/Rhotacismus" title="Rhotacismus">rhotacismum</a> *<i>nomesos</i> fuerit, cui a Benveniste significatio 'pars, quantitas' restituta est.<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> Si hoc adprobemus, faciliter videamus hoc nomen, stirpe *<i>nom-es-</i> nixum, positum esse in radice *<i>nom-</i>, quae ex relatione <a href="/w/index.php?title=Metaphonia&action=edit&redlink=1" class="new" title="Metaphonia (non est haec pagina)">metaphonica</a> ad radicem *<i>nem-</i> 'dividere, impertire, adtribuere' sit. Hac relatione interposita, constet permulta vocabula Graeca huc pertinere, sicut <span title="Graece scriptum"><span lang="grc">νέμω</span></span> 'divido; pasco', <span title="Graece scriptum"><span lang="grc">νομός</span></span> 'pascua; domicilium', <span title="Graece scriptum"><span lang="grc">νομάς</span></span> 'qui vitam pastoriciam agit, nomas', <span title="Graece scriptum"><span lang="grc">νόμος</span></span> 'mos; lex' – nec non aliquot vocabula aliarum linguarum, sicut <a href="/wiki/Gothice" class="mw-redirect" title="Gothice">Gothice</a> <i>niman</i> 'capere', <a href="/wiki/Lingua_Lithuanica" title="Lingua Lithuanica">Lithuanice</a> <i>namas</i> 'domus, aedes', <a href="/w/index.php?title=Lingua_Hibernica_antiqua&action=edit&redlink=1" class="new" title="Lingua Hibernica antiqua (non est haec pagina)">Lingua Hibernica antiqua</a> <i>nem</i> 'donum'. Sunt etiam qui de <i>numero</i> huc referendo dubitent.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Categoriae_numerorum">Categoriae numerorum</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=2" title="Recensere partem: Categoriae numerorum" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=2" title="Edit section's source code: Categoriae numerorum"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r3856202">.mw-parser-output table.capsatab{float:right;clear:right;border:1px solid #eaecf0;background-color:#f7f8ff;margin:.25em 0 1em 1em;padding:.3em .25em;max-width:22em;font-size:.88em;border-radius:1em;box-shadow:8px 8px 8px rgba(0,0,0,.2)}.mw-parser-output table.capsatab caption{font-weight:bold;text-align:center}.mw-parser-output table.capsatab th,.mw-parser-output table.capsatab td{margin:0;vertical-align:top;box-sizing:border-box}.mw-parser-output table.capsatab th{min-width:8.8em;padding:.1em .25em .1em .1em;text-align:right}.mw-parser-output table.capsatab td{min-width:11em;padding:.1em .1em .1em .25em;text-align:left}.mw-parser-output table.capsatab th:only-child,.mw-parser-output table.capsatab td:only-child{text-align:center;min-width:0}.mw-parser-output table.capsatab th:only-child{background-color:#e6e6fa;padding:.15em .5em}.mw-parser-output table.capsatab td:only-child{padding:.1em}@media(max-width:768px){.mw-parser-output table.capsatab{float:none;margin:.25em auto 1em auto}}</style> <table class="capsatab"> <caption>Systemata Numerica <a href="/wiki/Mathematica" title="Mathematica">Mathematicae</a> </caption> <tbody><tr> <th>Numeri Elementarii </th></tr> <tr> <td style="text-align: left;"> <p><b><a href="/wiki/Numerus_naturalis" title="Numerus naturalis">Naturales</a></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 {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> {0,1,2,3,...} sive {1,2,3,...}<br /> </p> <ul><li><a href="/wiki/Numerus_primus" title="Numerus primus">Primi</a> <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} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">P</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {P} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1053af9e662ceaf56c4455f90e0f67273422eded" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.42ex; height:2.176ex;" alt="{\displaystyle \mathbb {P} }" /></span> {2,3,5,7,11,...}</li> <li><a href="/wiki/Numerus_abundans" title="Numerus abundans">Abundantes</a></li> <li><a href="/wiki/Numeri_amicabiles" title="Numeri amicabiles">Amicabiles</a></li> <li><a href="/wiki/Numerus_compositus" title="Numerus compositus">Compositi</a></li> <li><a href="/wiki/Numerus_defectivus" title="Numerus defectivus">Defectivi</a></li> <li><a href="/wiki/Numerus_perfectus" title="Numerus perfectus">Perfecti</a></li> <li><a href="/wiki/Numerus_sociabilis" title="Numerus sociabilis">Sociabiles</a><br /></li></ul> <p><b><a href="/wiki/Numerus_integer" title="Numerus integer">Integri</a></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 {Z} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/449494a083e0a1fda2b61c62b2f09b6bee4633dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.176ex;" alt="{\displaystyle \mathbb {Z} }" /></span> {...,-2,-1,0,+1,+2,...}<br /> </p> <ul><li><a href="/wiki/Numerus_par" class="mw-redirect" title="Numerus par">Pares</a> {...,-2,0,+2,...}</li> <li><a href="/wiki/Numerus_impar" title="Numerus impar">Impares</a> {...,-3,-1,+1,+3,...}<br /></li></ul> <p><b><a href="/wiki/Numerus_rationalis" title="Numerus rationalis">Rationales</a></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 {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><br /> <b><a href="/wiki/Numerus_realis" title="Numerus realis">Reales</a></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 {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> </p> <ul><li><a href="/wiki/Numerus_irrationalis" title="Numerus irrationalis">Irrationales</a> <ul><li><a href="/wiki/Numerus_pi" title="Numerus pi">Numerus pi</a> <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 \pi =3.14159265358979\ldots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <mo>=</mo> <mn>3.14159265358979</mn> <mo>…</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi =3.14159265358979\ldots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6de554f9fba9eb9849cf9f5ed6d193922b0dc765" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:25.624ex; height:2.176ex;" alt="{\displaystyle \pi =3.14159265358979\ldots }" /></span></li> <li><a href="/wiki/Numerus_Euleri" class="mw-redirect" title="Numerus Euleri">Numerus Euleri</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle e=2.718281828459045\ldots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>e</mi> <mo>=</mo> <mn>2.718281828459045</mn> <mo>…</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e=2.718281828459045\ldots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35593d7fb535e89fb9f2bf15e7941e84977c0741" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:26.538ex; height:2.176ex;" alt="{\displaystyle e=2.718281828459045\ldots }" /></span></li></ul></li></ul> <p><b><a href="/wiki/Numerus_complexus" title="Numerus complexus">Complexi</a></b> ℂ </p> <ul><li><a href="/wiki/Numerus_algebraicus" title="Numerus algebraicus">Algebraici</a></li> <li><a href="/wiki/Numerus_transcendens" title="Numerus transcendens">Transcendentes</a></li> <li><a href="/wiki/Numerus_imaginarius" class="mw-redirect" title="Numerus imaginarius">Numerus imaginarius</a> <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={\sqrt {-1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo>−</mo> <mn>1</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i={\sqrt {-1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/370c8cebe9634fbfc84c29ea61680b0ad4a1ae0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.807ex; height:3.009ex;" alt="{\displaystyle i={\sqrt {-1}}}" /></span><br /></li></ul> <p><b><a href="/wiki/Numerus_quaternus" title="Numerus quaternus">Quaterni</a></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 {H} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">H</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {H} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e050965453c42bcc6bd544546703c836bdafeac9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \mathbb {H} }" /></span><br /> <b><a href="/wiki/Numerus_octonus" title="Numerus octonus">Octoni</a></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 {O} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">O</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {O} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1ed2664a4fe515e6fbed25a7193ce663b82920c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle \mathbb {O} }" /></span><br /> <a href="/wiki/Infinitas" title="Infinitas">Infinitas</a> <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 \infty }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∞</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \infty }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c26c105004f30c27aa7c2a9c601550a4183b1f21" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:1.676ex;" alt="{\displaystyle \infty }" /></span> </p> </td></tr> <tr> <th>Variae radices </th></tr> <tr> <td style="text-align: left;"> <ul><li><a href="/wiki/Systema_numericum_binarium" title="Systema numericum binarium">Radix binaria(2)</a></li> <li><a href="/wiki/Systema_numericum_octale" title="Systema numericum octale">Radix octalis(8)</a></li> <li><a href="/wiki/Systema_numericum_decimale" title="Systema numericum decimale">Radix decimalis(10)</a></li> <li><a href="/wiki/Systema_numericum_sedecimale" title="Systema numericum sedecimale">Radix sedecimalis(16)</a></li></ul> </td></tr></tbody></table> <p>Etiamsi late intelligitur numerum posse quamlibet magnitudinem esse, proprietates omnium numerorum non sunt inter se aequales. Ergo est prima dissimilitudo inter numeros exempli gratia <a href="/wiki/Numerus_naturalis" title="Numerus naturalis">{0, 1, 2, 3 . . .}</a>, <a href="/wiki/Numerus_integer" title="Numerus integer">{. . . -3, -2, -1, 0}</a>, <a href="/wiki/Numerus_rationalis" title="Numerus rationalis">2/4</a>, <i><a href="/wiki/Numerus_pi" title="Numerus pi">π</a></i> ac <i><a href="/wiki/Numerus_Euleri" class="mw-redirect" title="Numerus Euleri">e</a></i>, <a href="/wiki/Numerus_irrationalis" title="Numerus irrationalis"><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 {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4afc1e27d418021bf10898eb44a7f5f315735ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:3.009ex;" alt="{\displaystyle {\sqrt {2}}}" /></span></a>, vel <a href="/wiki/Numerus_imaginarius" class="mw-redirect" title="Numerus imaginarius"><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 {\sqrt {-1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo>−</mo> <mn>1</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {-1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ea1ea9ac61e6e1e84ac39130f78143c18865719" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.906ex; height:3.009ex;" alt="{\displaystyle {\sqrt {-1}}}" /></span></a>. </p> <div class="mw-heading mw-heading3"><h3 id="Numeri_naturales"><a href="/wiki/Numerus_naturalis" title="Numerus naturalis">Numeri naturales</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=3" title="Recensere partem: Numeri naturales" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=3" title="Edit section's source code: Numeri naturales"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><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} =\mathbb {N} _{0}=\{0,1,2,3,4,5,\ldots \}}"> <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> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>,</mo> <mn>5</mn> <mo>,</mo> <mo>…</mo> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} =\mathbb {N} _{0}=\{0,1,2,3,4,5,\ldots \}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c0603d2422fc9a983ddbac6549ddb89688f2bd43" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:28.834ex; height:2.843ex;" alt="{\displaystyle \mathbb {N} =\mathbb {N} _{0}=\{0,1,2,3,4,5,\ldots \}}" /></span> <dl><dd>sive</dd></dl></dd> <dd><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} =\mathbb {N} _{+}=\{1,2,3,4,5,\ldots \}}"> <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> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>+</mo> </mrow> </msub> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>,</mo> <mn>5</mn> <mo>,</mo> <mo>…</mo> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {N} =\mathbb {N} _{+}=\{1,2,3,4,5,\ldots \}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a22a7d754a5401aa7fdf5eb4a7bfa34ea33769" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:27.094ex; height:2.843ex;" alt="{\displaystyle \mathbb {N} =\mathbb {N} _{+}=\{1,2,3,4,5,\ldots \}}" /></span></dd></dl> <p>In numeris naturalibus exagere licet <a href="/wiki/Additio" title="Additio">additionem</a> et <a href="/wiki/Multiplicatio" title="Multiplicatio">multiplicationem</a>. <a href="/wiki/Subtractio" title="Subtractio">Subtractio</a> solum est possibilis, si minuendus maior est aut aequus quam subtrahendus; aliter necesse est <a href="/wiki/Numerus_integer" title="Numerus integer">numeris integris</a>. In <a href="/wiki/Divisio_(mathematica)" title="Divisio (mathematica)">divisione</a> in casibus plerisque <a href="/wiki/Numerus_rationalis" title="Numerus rationalis">numerus rationalis</a> resultat, neque naturalis. </p><p>Potentia numeri naturalis iterum est naturalis, sed demonstrare possibile neque difficile est radicem semper esse <a href="/wiki/Numerus_irrationalis" title="Numerus irrationalis">irrationalem</a>, nisi numerus est quadratum (0, 1, 4, 9, 16, ...); in hoc casu scilicet radicem naturalem. </p> <div class="mw-heading mw-heading3"><h3 id="Numeri_integri"><a href="/wiki/Numerus_integer" title="Numerus integer">Numeri integri</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=4" title="Recensere partem: Numeri integri" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=4" title="Edit section's source code: Numeri integri"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Cum subtrahitur <a href="/wiki/Numerus_naturalis" title="Numerus naturalis">numerus naturalis</a> de alio naturali, exsultat interdum non naturalis sed numerus qui est minor quam nullus. Numeri naturales et hi nullo minores appellantur universi <b>numeri integri</b>. Numeri integri generaliter littera <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} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/449494a083e0a1fda2b61c62b2f09b6bee4633dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.55ex; height:2.176ex;" alt="{\displaystyle \mathbb {Z} }" /></span> designantur. Ergo </p> <dl><dd><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} =\{\ldots \,-3,-2,-1,0,1,2,3,\ldots \}}"> <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> <mo fence="false" stretchy="false">{</mo> <mo>…</mo> <mspace width="thinmathspace"></mspace> <mo>−</mo> <mn>3</mn> <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> <mn>3</mn> <mo>,</mo> <mo>…</mo> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} =\{\ldots \,-3,-2,-1,0,1,2,3,\ldots \}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d68004a2b90b10ef2cce77647a72e0944c749c2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.639ex; height:2.843ex;" alt="{\displaystyle \mathbb {Z} =\{\ldots \,-3,-2,-1,0,1,2,3,\ldots \}}" /></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Numeri_irrationales"><a href="/wiki/Numerus_irrationalis" title="Numerus irrationalis">Numeri irrationales</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=5" title="Recensere partem: Numeri irrationales" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=5" title="Edit section's source code: Numeri irrationales"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Numerus irrationalis</b> per definitionem est numerus qui scribi ut fractio numerorum duorum <a href="/wiki/Numerus_integer" title="Numerus integer">integrum</a> non potest, i.e., numerus <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 N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.176ex;" alt="{\displaystyle N}" /></span> est irrationalis si numeri duos alii a numero zero dissimiles <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}" /></span> et <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}" /></span> tales ut </p> <dl><dd><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 N={\frac {a}{b}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>N</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mi>b</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N={\frac {a}{b}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/44710ee065b2b2b8188ad9e3b5f784be6d7eda3d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.228ex; height:4.843ex;" alt="{\displaystyle N={\frac {a}{b}}}" /></span></dd></dl> <p>non sunt. </p><p>Exempli gratia numerum <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 {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4afc1e27d418021bf10898eb44a7f5f315735ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:3.009ex;" alt="{\displaystyle {\sqrt {2}}}" /></span> esse irrationalem facile demonstratur, quemadmodum infra aspicitur. Hoc est demonstrationis exemplum secundum praeceptum <i>reductionis ad absurdum</i>. </p><p>Pro certo ponamus </p> <dl><dd><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 {\sqrt {2}}={\frac {a}{b}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mi>b</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}={\frac {a}{b}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/90480fe7df7a77399cc1ff591e7d379cd16cc260" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.263ex; height:4.843ex;" alt="{\displaystyle {\sqrt {2}}={\frac {a}{b}}}" /></span>,</dd></dl> <p>ubi <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a,b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>,</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a,b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/181523deba732fda302fd176275a0739121d3bc8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.261ex; height:2.509ex;" alt="{\displaystyle a,b}" /></span> factores primos aequales <b>non</b> habent. In sequentibus disquisitionibus demonstrabitur hanc coniecturam esse absurdam. </p><p>Si hoc est verum tunc <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}=2b^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>2</mn> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}=2b^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7cc554d9a5e2bc9fb563e24db48894ddb0c5c7af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.597ex; height:2.676ex;" alt="{\displaystyle a^{2}=2b^{2}}" /></span>, ergo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f564e5dc0b6e68af32ca8614e972f5b36e944a24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{2}}" /></span> est <a href="/wiki/Numerus_par" class="mw-redirect" title="Numerus par">numerus par</a> ideoque <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}" /></span> quoque est numerus par (si <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}" /></span> numerus impar esset tunc quoque <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f564e5dc0b6e68af32ca8614e972f5b36e944a24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{2}}" /></span> numerus impar esset). Cum numerus <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}" /></span> sit par notum est numerum <i>k</i> esse talem ut <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a=2k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mn>2</mn> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a=2k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/71339dfcc58e10b046c5ad8d875cdadfed93f5f8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.702ex; height:2.176ex;" alt="{\displaystyle a=2k}" /></span>, unde a prima aequatione sequitur <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 2b^{2}=(2k)^{2}=4k^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mi>k</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>4</mn> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2b^{2}=(2k)^{2}=4k^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/719af0fbdf89979e346a8996eb171c10565091c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.076ex; height:3.176ex;" alt="{\displaystyle 2b^{2}=(2k)^{2}=4k^{2}}" /></span>, ergo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b^{2}=2k^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>2</mn> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b^{2}=2k^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41c7d05dd4b93faad9f6df2118be8c7b79039689" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.578ex; height:2.676ex;" alt="{\displaystyle b^{2}=2k^{2}}" /></span>. Simili modo comprobatur numerum <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.998ex; height:2.176ex;" alt="{\displaystyle b}" /></span> esse parem propterea etiam factorem 2 habet, quod absurdum est quia in principio selegimus numeros <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a,b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>,</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a,b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/181523deba732fda302fd176275a0739121d3bc8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.261ex; height:2.509ex;" alt="{\displaystyle a,b}" /></span> qui factores aequales non habeant. Ergo coniectura <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 {\sqrt {2}}={\frac {a}{b}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mi>b</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}={\frac {a}{b}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/90480fe7df7a77399cc1ff591e7d379cd16cc260" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:8.263ex; height:4.843ex;" alt="{\displaystyle {\sqrt {2}}={\frac {a}{b}}}" /></span> erat falsa ideoque <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 {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4afc1e27d418021bf10898eb44a7f5f315735ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:3.009ex;" alt="{\displaystyle {\sqrt {2}}}" /></span> est numerus irrationalis <a href="/wiki/QED" title="QED">QED</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Numeri_transcendentes"><a href="/wiki/Numerus_transcendens" title="Numerus transcendens">Numeri transcendentes</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=6" title="Recensere partem: Numeri transcendentes" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=6" title="Edit section's source code: Numeri transcendentes"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Numerus transcendens</b> est numerus, qui non est <a href="/wiki/Numerus_algebraicus" title="Numerus algebraicus">algebraicus</a>. Id est: Sit <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x\in \mathbb {R} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>∈</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\in \mathbb {R} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a9c6d458566aec47a7259762034790c8981aefab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.848ex; height:2.176ex;" alt="{\displaystyle x\in \mathbb {R} }" /></span> numerus transcendens. Tunc nullus est <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 n\in \mathbb {N} \setminus \lbrace 0\rbrace }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>∈</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> <mo class="MJX-variant">∖</mo> <mo fence="false" stretchy="false">{</mo> <mn>0</mn> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\in \mathbb {N} \setminus \lbrace 0\rbrace }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68a2bac34f11a104150f65853b338e9dbc8ab38a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.596ex; height:2.843ex;" alt="{\displaystyle n\in \mathbb {N} \setminus \lbrace 0\rbrace }" /></span> et nulli sunt <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{i}\in \mathbb {Q} \ (0\leq i\leq n-1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>∈</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> <mtext> </mtext> <mo stretchy="false">(</mo> <mn>0</mn> <mo>≤</mo> <mi>i</mi> <mo>≤</mo> <mi>n</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{i}\in \mathbb {Q} \ (0\leq i\leq n-1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2ea8c642ccbdd1374b783af6f4ffcbef5cd9ee09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:22.628ex; height:2.843ex;" alt="{\displaystyle a_{i}\in \mathbb {Q} \ (0\leq i\leq n-1)}" /></span>, ut <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 \sum _{i=0}^{n-1}{a_{i}\cdot x^{i}}+x^{n}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>⋅</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msup> </mrow> <mo>+</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i=0}^{n-1}{a_{i}\cdot x^{i}}+x^{n}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8792c30d0df4805d7f7183d8e6756e0683df6289" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:19.23ex; height:7.343ex;" alt="{\displaystyle \sum _{i=0}^{n-1}{a_{i}\cdot x^{i}}+x^{n}=0}" /></span> sit. </p><p><i><a href="/wiki/Numerus_pi" title="Numerus pi">π</a></i> ac <i><a href="/wiki/Numerus_Euleri" class="mw-redirect" title="Numerus Euleri">e</a></i> </p> <div class="mw-heading mw-heading3"><h3 id="Numeri_imaginarii"><a href="/wiki/Numerus_imaginarius" class="mw-redirect" title="Numerus imaginarius">Numeri imaginarii</a></h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=7" title="Recensere partem: Numeri imaginarii" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=7" title="Edit section's source code: Numeri imaginarii"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Quantitas imaginaria, vel numerus imaginarius, est numerus complexus cuius potestas quadrata est numerus negativus. </p><p><a href="/wiki/Numerus_imaginarius" class="mw-redirect" title="Numerus imaginarius"><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 {\sqrt {-1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo>−</mo> <mn>1</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {-1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ea1ea9ac61e6e1e84ac39130f78143c18865719" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.906ex; height:3.009ex;" alt="{\displaystyle {\sqrt {-1}}}" /></span></a> </p> <div class="mw-heading mw-heading2"><h2 id="Systemata_numerica">Systemata numerica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=8" title="Recensere partem: Systemata numerica" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=8" title="Edit section's source code: Systemata numerica"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fasciculus:Tetractys.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Tetractys.svg/150px-Tetractys.svg.png" decoding="async" width="150" height="126" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Tetractys.svg/225px-Tetractys.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/66/Tetractys.svg/300px-Tetractys.svg.png 2x" data-file-width="338" data-file-height="283" /></a><figcaption><i>Tetraktys</i> <a href="/wiki/Pythagoras" title="Pythagoras">Pythagorae</a> decem punctos in <a href="/wiki/Triangulum" title="Triangulum">triangulo</a> ponit.</figcaption></figure> <table class="wikitable" border="1" align="left" style="text-align:center"> <caption>Numeri ab 1 ad 10 in nonnullis linguis </caption> <tbody><tr> <td> </td> <th><a href="/wiki/Unus" title="Unus">1</a></th> <th><a href="/wiki/Duo" title="Duo">2</a></th> <th><a href="/wiki/Tres" title="Tres">3</a></th> <th><a href="/wiki/Quattuor" title="Quattuor">4</a></th> <th><a href="/wiki/Quinque" title="Quinque">5</a></th> <th><a href="/wiki/Sex" title="Sex">6</a></th> <th><a href="/wiki/Septem" title="Septem">7</a></th> <th><a href="/wiki/Octo" title="Octo">8</a></th> <th><a href="/wiki/Novem" title="Novem">9</a></th> <th><a href="/wiki/Decem" title="Decem">10</a> </th></tr> <tr> <th><b><a href="/wiki/Lingua_Arabica" title="Lingua Arabica">Arabica</a></b> </th> <td>١</td> <td>٢</td> <td>٣</td> <td>٤</td> <td>٥</td> <td>٦</td> <td>٧</td> <td>٨</td> <td>٩</td> <td>١٠ </td></tr> <tr> <th><b><a href="/wiki/Lingua_Bengala" class="mw-redirect" title="Lingua Bengala">Bengala</a></b> </th> <td>১</td> <td>২</td> <td>৩</td> <td>৪</td> <td>৫</td> <td>৬</td> <td>৭</td> <td>৮</td> <td>৯</td> <td>১০ </td></tr> <tr> <th><b><a href="/wiki/Scriptura_Devanagari" class="mw-redirect" title="Scriptura Devanagari">Devanagari</a></b> </th> <td>१</td> <td>२</td> <td>३</td> <td>४</td> <td>५</td> <td>६</td> <td>७</td> <td>८</td> <td>९</td> <td>१० </td></tr> <tr> <th><b><a href="/wiki/Lingua_Graeca_antiqua" title="Lingua Graeca antiqua">Graeca</a></b> </th> <td>αʹ</td> <td>βʹ</td> <td>γʹ</td> <td>δʹ</td> <td>εʹ</td> <td>στʹ</td> <td>ζʹ</td> <td>ηʹ</td> <td>θʹ</td> <td>ιʹ </td></tr> <tr> <th><b><a href="/wiki/Lingua_Hebraica" title="Lingua Hebraica">Hebraica</a></b> </th> <td>א</td> <td>ב</td> <td>ג</td> <td>ד</td> <td>ה</td> <td>ו</td> <td>ז</td> <td>ח</td> <td>ט</td> <td>י </td></tr> <tr> <th><b><a href="/wiki/Lingua_Malaica" title="Lingua Malaica">Malaica</a></b> </th> <td>൧</td> <td>൨</td> <td>൩</td> <td>൪</td> <td>൫</td> <td>൬</td> <td>൭</td> <td>൮</td> <td>൯</td> <td>൧൦ </td></tr> <tr> <th><b><a href="/wiki/Lingua_Phoenicia" title="Lingua Phoenicia">Phoenicia</a></b> </th> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_aleph.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Phoenician_aleph.svg/12px-Phoenician_aleph.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Phoenician_aleph.svg/18px-Phoenician_aleph.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Phoenician_aleph.svg/24px-Phoenician_aleph.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_beth.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Phoenician_beth.svg/12px-Phoenician_beth.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Phoenician_beth.svg/18px-Phoenician_beth.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Phoenician_beth.svg/24px-Phoenician_beth.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_gimel.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Phoenician_gimel.svg/12px-Phoenician_gimel.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Phoenician_gimel.svg/18px-Phoenician_gimel.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/00/Phoenician_gimel.svg/24px-Phoenician_gimel.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_daleth.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Phoenician_daleth.svg/12px-Phoenician_daleth.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Phoenician_daleth.svg/18px-Phoenician_daleth.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Phoenician_daleth.svg/24px-Phoenician_daleth.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_he.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Phoenician_he.svg/12px-Phoenician_he.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Phoenician_he.svg/18px-Phoenician_he.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Phoenician_he.svg/24px-Phoenician_he.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_waw.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Phoenician_waw.svg/12px-Phoenician_waw.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Phoenician_waw.svg/18px-Phoenician_waw.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2e/Phoenician_waw.svg/24px-Phoenician_waw.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_zayin.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Phoenician_zayin.svg/12px-Phoenician_zayin.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Phoenician_zayin.svg/18px-Phoenician_zayin.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Phoenician_zayin.svg/24px-Phoenician_zayin.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_heth.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Phoenician_heth.svg/12px-Phoenician_heth.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Phoenician_heth.svg/18px-Phoenician_heth.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/Phoenician_heth.svg/24px-Phoenician_heth.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_teth.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Phoenician_teth.svg/12px-Phoenician_teth.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Phoenician_teth.svg/18px-Phoenician_teth.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f0/Phoenician_teth.svg/24px-Phoenician_teth.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span></td> <td><span typeof="mw:File"><a href="/wiki/Fasciculus:Phoenician_yodh.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/25/Phoenician_yodh.svg/12px-Phoenician_yodh.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/25/Phoenician_yodh.svg/18px-Phoenician_yodh.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/25/Phoenician_yodh.svg/24px-Phoenician_yodh.svg.png 2x" data-file-width="85" data-file-height="85" /></a></span> </td></tr> <tr> <th><b><a href="/wiki/Numeri_Romani" title="Numeri Romani">Romana</a></b> </th> <td>I</td> <td>II</td> <td>III</td> <td>IV</td> <td>V</td> <td>VI</td> <td>VII</td> <td>VIII</td> <td>IX</td> <td>X </td></tr> <tr> <th><b><a href="/wiki/Lingua_Thai" title="Lingua Thai">Siamensis</a></b> </th> <td>๑</td> <td>๒</td> <td>๓</td> <td>๔</td> <td>๕</td> <td>๖</td> <td>๗</td> <td>๘</td> <td>๙</td> <td>๑๐ </td></tr> <tr> <th><b><a href="/wiki/Lingua_Sinica" class="mw-redirect" title="Lingua Sinica">Sinica</a></b> </th> <td>一</td> <td>二</td> <td>三</td> <td>四</td> <td>五</td> <td>六</td> <td>七</td> <td>八</td> <td>九</td> <td>十 </td></tr> <tr> <th><b><a href="/wiki/Sucheum" title="Sucheum">Suchealis</a></b> </th> <td>〡</td> <td>〢</td> <td>〣</td> <td>〤</td> <td>〥</td> <td>〦</td> <td>〧</td> <td>〨</td> <td>〩</td> <td>〡〇 </td></tr> <tr> <th><b><a href="/wiki/Lingua_Tamulica" title="Lingua Tamulica">Tamulica</a></b> </th> <td>௧</td> <td>௨</td> <td>௩</td> <td>௪</td> <td>௫</td> <td>௬</td> <td>௭</td> <td>௮</td> <td>௯</td> <td>௰ </td></tr></tbody></table> <p><br clear="all" /> </p><p><br /> </p> <div style="clear:both;"></div> <div class="mw-heading mw-heading2"><h2 id="Historia_numerorum">Historia numerorum</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=9" title="Recensere partem: Historia numerorum" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=9" title="Edit section's source code: Historia numerorum"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Fasciculus:Tally_marks_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Tally_marks_2.svg/330px-Tally_marks_2.svg.png" decoding="async" width="330" height="60" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Tally_marks_2.svg/495px-Tally_marks_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/Tally_marks_2.svg/660px-Tally_marks_2.svg.png 2x" data-file-width="512" data-file-height="93" /></a><figcaption>Notae numerales in <a href="/wiki/America_Australis" title="America Australis">America Australi</a> adhibitae.</figcaption></figure> <p>Primus usus numerorum locum incertum in historia habet. Ut super dictum, prima indicia usus numeralium in ossibus et tesseris abhinc annorum 35 000 fere <a href="/wiki/Inscriptio" class="mw-redirect" title="Inscriptio">inscriptis</a> inveniuntur. Haec numeralia fuerunt sicut notae ad dexteram pictae; id est non habere <a href="/wiki/Cifra" title="Cifra">cifras</a>. Numeros ab 1 ad 10 notare possunt, sed opus est novarum notarum ut numeri maiores scribantur. Cum cifris numeri quamvis magni una nota scribi possunt. </p> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fasciculus:Ybc7289-bw.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Ybc7289-bw.jpg/330px-Ybc7289-bw.jpg" decoding="async" width="330" height="308" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/0/0b/Ybc7289-bw.jpg 1.5x" data-file-width="338" data-file-height="315" /></a><figcaption>Tessera <a href="/wiki/Babylonia" title="Babylonia">Babylonica</a> inter annos 1800-1600 <a href="/wiki/Aera_vulgaris" title="Aera vulgaris">ante aer. vulg.</a> cum approximatione radicis quadratae <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 {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4afc1e27d418021bf10898eb44a7f5f315735ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.098ex; height:3.009ex;" alt="{\displaystyle {\sqrt {2}}}" /></span> per <a href="/wiki/Theorema_Pythagorae" title="Theorema Pythagorae">theorema Pythagorae</a>: 1 + 24/60 + 51/602 + 10/603 = 1.41421296...</figcaption></figure> <p>Primum systema numericum cum cifris fuit <a href="/w/index.php?title=Systema_numerale_Babylonicum&action=edit&redlink=1" class="new" title="Systema numerale Babylonicum (non est haec pagina)">Babylonicum</a>, quod radicem <a href="/w/index.php?title=Systema_numericum_sexagesimale&action=edit&redlink=1" class="new" title="Systema numericum sexagesimale (non est haec pagina)">sexagesimalem</a> habuit. </p> <div style="clear:both;"></div> <div class="mw-heading mw-heading2"><h2 id="Notae">Notae</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=10" title="Recensere partem: Notae" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=10" title="Edit section's source code: Notae"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Emile Benveniste, <i>Bulletin de la Société linguistique de Paris</i> 32, 1931, 83; Alois Walde & J.B.Hofmann, <i>Lateinisches etymologisches Wörterbuch</i> II (1938) s.v. <i>numerus</i>.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><a href="/wiki/Alfredus_Ernout" title="Alfredus Ernout">Alfred Ernout</a> & <a href="/wiki/Antonius_Meillet" title="Antonius Meillet">Antoine Meillet</a>, <i>Dictionnaire étymologique de la langue latine</i>, s.v. <i>numerus</i> (Paris: Klincksieck, 1959<sup>4</sup>); <a href="/wiki/Petrus_Chantraine" title="Petrus Chantraine">Pierre Chantraine</a>: <i>Dictionnaire étymologique de la langue grecque</i>, s.v. <span title="Graece scriptum"><span lang="grc">νέμω</span></span>. (Paris: Klincksieck, 1980).</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Bibliographia">Bibliographia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=11" title="Recensere partem: Bibliographia" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=11" title="Edit section's source code: Bibliographia"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Bogomolny, A. "What's a number?". Interactive Mathematics Miscellany and Puzzles. <a rel="nofollow" class="external free" href="http://www.cut-the-knot.org/do_you_know/numbers.shtml">http://www.cut-the-knot.org/do_you_know/numbers.shtml</a>.</li> <li>Danzig, Tobias. <a href="/wiki/1930" title="1930">1930</a>. <i>Number, the language of science; a critical survey written for the cultured non-mathematician.</i> Novi Eboraci: The Macmillan company.</li> <li>Friedman, Erich. <i><a rel="nofollow" class="external text" href="https://web.archive.org/web/20180223062027/http://www2.stetson.edu/~efriedma/numbers.html">What's special about this number?</a></i></li> <li>Galovich, Steven. <a href="/wiki/1989" title="1989">1989</a>. <i>Introduction to Mathematical Structures.</i> Harcourt Brace Javanovich. <a href="/wiki/Specialis:Librorum_fontes/0155434683" class="internal mw-magiclink-isbn">ISBN 0-15-543468-3</a>.</li> <li><a href="/w/index.php?title=Paul_Halmos&action=edit&redlink=1" class="new" title="Paul Halmos (non est haec pagina)">Halmos, Paul</a>. <a href="/wiki/1974" title="1974">1974</a>. <i>Naive Set Theory.</i> Springer. <a href="/wiki/Specialis:Librorum_fontes/0387900926" class="internal mw-magiclink-isbn">ISBN 0-387-90092-6</a>.</li> <li>Kline, Morris. <a href="/wiki/1972" title="1972">1972</a>. <i>Mathematical Thought from Ancient to Modern Times.</i> Oxoniae: Oxford University Press.</li> <li>Russell, Bertrand. <a href="/wiki/1919" title="1919">1919</a>. <i>Introduction to Mathematical Philosophy.</i> Routledge. <a href="/wiki/Specialis:Librorum_fontes/0415096049" class="internal mw-magiclink-isbn">ISBN 0-415-09604-9</a>.</li> <li>Sanchez, George I. <a href="/wiki/1961" title="1961">1961</a>. <i>Arithmetic in Maya.</i> Austin, Texas.</li> <li>Selin, Helaine. <a href="/wiki/2000" title="2000">2000</a>. <i>Mathematics across cultures: the history of non-Western mathematics.</i> Kluwer Academic Publishers. <a href="/wiki/Specialis:Librorum_fontes/0792364813" class="internal mw-magiclink-isbn">ISBN 0-7923-6481-3</a>.</li> <li>Smith, David Eugene. <a href="/wiki/1958" title="1958">1958</a>. <i>History of Modern Mathematics.</i> Dover Publications. <a href="/wiki/Specialis:Librorum_fontes/0486204294" class="internal mw-magiclink-isbn">ISBN 0-486-20429-4</a>.</li> <li>Staszkow, Ronald, et Robert Bradshaw. <a href="/wiki/2004" title="2004">2004</a>. <i>The Mathematical Palette.</i> Ed. 3a. Brooks Cole. <a href="/wiki/Specialis:Librorum_fontes/0534403654" class="internal mw-magiclink-isbn">ISBN 0-534-40365-4</a>.</li> <li>Suppes, Patrick. <a href="/wiki/1972" title="1972">1972</a>. <i>Axiomatic Set Theory.</i> Courier Dover Publications. <a href="/wiki/Specialis:Librorum_fontes/0486616304" class="internal mw-magiclink-isbn">ISBN 0-486-61630-4</a>. <a rel="nofollow" class="external free" href="http://mathworld.wolfram.com/Integer.html">http://mathworld.wolfram.com/Integer.html</a>.</li> <li>Weisstein, Eric W. "Integer". MathWorld—A Wolfram Web Resource.</li> <li><a href="/wiki/Alfredus_North_Whitehead" title="Alfredus North Whitehead">Whitehead, Alfred North</a>, et <a href="/wiki/Bertrand_Russell" class="mw-redirect" title="Bertrand Russell">Russell, Bertrand</a>.<a href="/wiki/1910" title="1910">1910</a>. <i><a href="/w/index.php?title=Principia_Mathematica&action=edit&redlink=1" class="new" title="Principia Mathematica (non est haec pagina)">Principia Mathematica</a>.</i> Cantabrigiae: Cambridge University Press.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Nexus_externi">Nexus externi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numerus&veaction=edit&section=12" title="Recensere partem: Nexus externi" class="mw-editsection-visualeditor"><span>recensere</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numerus&action=edit&section=12" title="Edit section's source code: Nexus externi"><span>fontem recensere</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external free" href="http://www.diaware.de/html/roemzahl.html">http://www.diaware.de/html/roemzahl.html</a> (theodisce)</li> <li><a rel="nofollow" class="external free" href="https://web.archive.org/web/20070928225847/http://www.jessiegietl.com/Latinnum.html">https://web.archive.org/web/20070928225847/http://www.jessiegietl.com/Latinnum.html</a> (anglice)</li> <li><a rel="nofollow" class="external free" href="https://web.archive.org/web/20040627071924/http://www.osirusonline.com/numerals.html">https://web.archive.org/web/20040627071924/http://www.osirusonline.com/numerals.html</a> (anglice)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Nexus_interni">Nexus interni</h2></div> <ul><li><a href="/wiki/Merositas" title="Merositas">Merositas</a></li> <li><a href="/wiki/Nomina_permagnorum_numerorum" title="Nomina permagnorum numerorum">Nomina permagnorum numerorum</a></li> <li><a href="/wiki/Numeri_Romani" title="Numeri Romani">Numeri Romani</a></li> <li><a href="/wiki/Numerus_grammaticus" title="Numerus grammaticus">Numerus grammaticus</a></li> <li><a href="/wiki/Ordines_numerorum" title="Ordines numerorum">Ordines numerorum</a></li> <li><a href="/wiki/Scalae_longae_et_breves" title="Scalae longae et breves">Scalae longae et breves</a></li></ul> <p><br /> </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; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Receptum de "<a dir="ltr" href="https://la.wikipedia.org/w/index.php?title=Numerus&oldid=3775905">https://la.wikipedia.org/w/index.php?title=Numerus&oldid=3775905</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Specialis:Categoriae" title="Specialis:Categoriae">Categoriae</a>: <ul><li><a href="/wiki/Categoria:Numeri" title="Categoria:Numeri">Numeri</a></li><li><a href="/wiki/Categoria:Lingua_Latina" title="Categoria:Lingua Latina">Lingua Latina</a></li><li><a href="/wiki/Categoria:Notiones_mathematicae" title="Categoria:Notiones mathematicae">Notiones mathematicae</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Categoriae celatae: <ul><li><a href="/wiki/Categoria:Continetur_textus_Graece_scriptus" title="Categoria:Continetur textus Graece scriptus">Continetur textus Graece scriptus</a></li><li><a href="/wiki/Categoria:Paginae_cum_sectione_nexuum_internorum" title="Categoria:Paginae cum sectione nexuum internorum">Paginae cum sectione nexuum internorum</a></li><li><a href="/wiki/Categoria:1000_paginae" title="Categoria:1000 paginae">1000 paginae</a></li><li><a href="/wiki/Categoria:Myrias_Mathematica" title="Categoria:Myrias Mathematica">Myrias Mathematica</a></li><li><a href="/wiki/Categoria:Pages_using_ISBN_magic_links" title="Categoria:Pages using ISBN magic links">Pages using ISBN magic links</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Novissima mutatio die 24 Iunii 2023 hora 17:20 facta.</li> <li id="footer-info-copyright">Nonobstantibus ceteris condicionibus hunc textum tractare licet secundum <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/">"Creative Commons Attribution-ShareAlike License"</a>. 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