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фауне\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EПридружите се \u003Cb\u003E\u003Ca 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style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EУчествујте у \u003Cb\u003E\u003Ca href=\"https://sr.wikiquote.org/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D1%86%D0%B8%D1%82%D0%B0%D1%82:%D0%9A%D0%B0%D0%BC%D0%BF%D0%B0%D1%9A%D0%B0_SheSaid_2024\" class=\"extiw\" title=\"q:Викицитат:Кампања SheSaid 2024\"\u003Eкампањи писања цитата значајних жена\u003C/a\u003E\u003C/b\u003E на Викицитату.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EПридружите се \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A3%D1%80%D0%B5%D1%92%D0%B8%D0%B2%D0%B0%D1%87%D0%BA%D0%B8_%D0%BC%D0%B0%D1%80%D0%B0%D1%82%D0%BE%D0%BD_%D0%92%D0%B8%D0%BA%D0%B8_%D0%B2%D0%BE%D0%BB%D0%B8_%D1%98%D0%B0%D0%B2%D0%BD%D1%83_%D1%83%D0%BC%D0%B5%D1%82%D0%BD%D0%BE%D1%81%D1%82_%D0%B8_%D0%B3%D1%80%D0%BE%D0%B1%D0%BD%D0%B0_%D0%BE%D0%B1%D0%B5%D0%BB%D0%B5%D0%B6%D1%98%D0%B0_2024.\" title=\"Википедија:Уређивачки маратон Вики воли јавну уметност и гробна обележја 2024.\"\u003EУређивачком маратону Вики воли јавну уметност и гробна обележја 2024\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Сајт"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Садржај" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Садржај</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">помери на страну</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">сакриј</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Почетак</div> </a> </li> <li id="toc-Симбол" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Симбол"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Симбол</span> </div> </a> <ul id="toc-Симбол-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Алгебарска_својства" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Алгебарска_својства"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Алгебарска својства</span> </div> </a> <ul id="toc-Алгебарска_својства-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Теоретска_својства_реда" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Теоретска_својства_реда"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Теоретска својства реда</span> </div> </a> <ul id="toc-Теоретска_својства_реда-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Конструкција" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Конструкција"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Конструкција</span> </div> </a> <ul id="toc-Конструкција-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Референце" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Референце"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Референце</span> </div> </a> <ul id="toc-Референце-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Литература" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Литература"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Литература</span> </div> </a> <ul id="toc-Литература-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Спољашње_везе" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Спољашње_везе"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Спољашње везе</span> </div> </a> <ul id="toc-Спољашње_везе-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="Садржај" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Прикажи/сакриј садржај" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Прикажи/сакриј садржај</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Цео број</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Чланак на другим језицима. Доступан на: 131" > <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-131" 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">131 језик</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/Heelgetal" title="Heelgetal — африканс" lang="af" hreflang="af" data-title="Heelgetal" data-language-autonym="Afrikaans" data-language-local-name="африканс" 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/Ganze_Zahl" title="Ganze Zahl — немачки (Швајцарска)" lang="gsw" hreflang="gsw" data-title="Ganze Zahl" data-language-autonym="Alemannisch" data-language-local-name="немачки (Швајцарска)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%AA%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="पूर्ण संख्या — ангика" lang="anp" hreflang="anp" data-title="पूर्ण संख्या" data-language-autonym="अंगिका" data-language-local-name="ангика" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D8%B5%D8%AD%D9%8A%D8%AD" title="عدد صحيح — арапски" lang="ar" hreflang="ar" data-title="عدد صحيح" data-language-autonym="العربية" data-language-local-name="арапски" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Numero_entero" title="Numero entero — арагонски" lang="an" hreflang="an" data-title="Numero entero" data-language-autonym="Aragonés" data-language-local-name="арагонски" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%85%E0%A6%96%E0%A6%A3%E0%A7%8D%E0%A6%A1_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="অখণ্ড সংখ্যা — асамски" lang="as" hreflang="as" data-title="অখণ্ড সংখ্যা" data-language-autonym="অসমীয়া" data-language-local-name="асамски" 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_enteru" title="Númberu enteru — астуријски" lang="ast" hreflang="ast" data-title="Númberu enteru" data-language-autonym="Asturianu" data-language-local-name="астуријски" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Tam_%C9%99d%C9%99dl%C9%99r" title="Tam ədədlər — азербејџански" lang="az" hreflang="az" data-title="Tam ədədlər" data-language-autonym="Azərbaycanca" data-language-local-name="азербејџански" 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%AA%D8%A7%D9%85_%D8%B3%D8%A7%DB%8C%DB%8C%D9%84%D8%A7%D8%B1" title="تام ساییلار — South Azerbaijani" lang="azb" hreflang="azb" data-title="تام ساییلار" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan_bulat" title="Bilangan bulat — индонежански" lang="id" hreflang="id" data-title="Bilangan bulat" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонежански" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Integer" title="Integer — малајски" lang="ms" hreflang="ms" data-title="Integer" data-language-autonym="Bahasa Melayu" data-language-local-name="малајски" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A6%D1%8F%D0%BB%D0%BE_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Цяло число — бугарски" lang="bg" hreflang="bg" data-title="Цяло число" data-language-autonym="Български" data-language-local-name="бугарски" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Ch%C3%A9ng-s%C3%B2%CD%98" title="Chéng-sò͘ — Minnan" lang="nan" hreflang="nan" data-title="Chéng-sò͘" 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-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%91%D3%A9%D1%82%D3%A9%D0%BD_%D2%BB%D0%B0%D0%BD" title="Бөтөн һан — башкирски" lang="ba" hreflang="ba" data-title="Бөтөн һан" data-language-autonym="Башҡортса" data-language-local-name="башкирски" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A6%D1%8D%D0%BB%D1%8B_%D0%BB%D1%96%D0%BA" title="Цэлы лік — белоруски" lang="be" hreflang="be" data-title="Цэлы лік" data-language-autonym="Беларуская" data-language-local-name="белоруски" 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%A6%D1%8D%D0%BB%D1%8B_%D0%BB%D1%96%D0%BA" title="Цэлы лік — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Цэлы 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-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Integer" title="Integer — Central Bikol" lang="bcl" hreflang="bcl" data-title="Integer" 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-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A7%82%E0%A6%B0%E0%A7%8D%E0%A6%A3_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="পূর্ণ সংখ্যা — бенгалски" lang="bn" hreflang="bn" data-title="পূর্ণ সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="бенгалски" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Cijeli_broj" title="Cijeli broj — босански" lang="bs" hreflang="bs" data-title="Cijeli broj" data-language-autonym="Bosanski" data-language-local-name="босански" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Kevan_daveel" title="Kevan daveel — бретонски" lang="br" hreflang="br" data-title="Kevan daveel" data-language-autonym="Brezhoneg" data-language-local-name="бретонски" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_enter" title="Nombre enter — каталонски" lang="ca" hreflang="ca" data-title="Nombre enter" data-language-autonym="Català" data-language-local-name="каталонски" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Nhamba_mhumburu" title="Nhamba mhumburu — шона" lang="sn" hreflang="sn" data-title="Nhamba mhumburu" data-language-autonym="ChiShona" data-language-local-name="шона" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cyfanrif" title="Cyfanrif — велшки" lang="cy" hreflang="cy" data-title="Cyfanrif" data-language-autonym="Cymraeg" data-language-local-name="велшки" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A2%D1%83%D0%BB%D0%BB%D0%B8_%D1%85%D0%B8%D1%81%D0%B5%D0%BF" title="Тулли хисеп — чувашки" lang="cv" hreflang="cv" data-title="Тулли хисеп" data-language-autonym="Чӑвашла" data-language-local-name="чувашки" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Cel%C3%A9_%C4%8D%C3%ADslo" title="Celé číslo — чешки" lang="cs" hreflang="cs" data-title="Celé číslo" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Heltal" title="Heltal — дански" lang="da" hreflang="da" data-title="Heltal" data-language-autonym="Dansk" data-language-local-name="дански" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Ganze_Zahl" title="Ganze Zahl — немачки" lang="de" hreflang="de" data-title="Ganze Zahl" data-language-autonym="Deutsch" data-language-local-name="немачки" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/T%C3%A4isarv" title="Täisarv — естонски" lang="et" hreflang="et" data-title="Täisarv" data-language-autonym="Eesti" data-language-local-name="естонски" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CE%BA%CE%AD%CF%81%CE%B1%CE%B9%CE%BF%CF%82_%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82" title="Ακέραιος αριθμός — грчки" lang="el" hreflang="el" data-title="Ακέραιος αριθμός" data-language-autonym="Ελληνικά" data-language-local-name="грчки" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Integer" title="Integer — енглески" lang="en" hreflang="en" data-title="Integer" data-language-autonym="English" data-language-local-name="енглески" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_entero" title="Número entero — шпански" lang="es" hreflang="es" data-title="Número entero" data-language-autonym="Español" data-language-local-name="шпански" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Entjero" title="Entjero — есперанто" lang="eo" hreflang="eo" data-title="Entjero" data-language-autonym="Esperanto" data-language-local-name="есперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki_oso" title="Zenbaki oso — баскијски" lang="eu" hreflang="eu" data-title="Zenbaki oso" data-language-autonym="Euskara" data-language-local-name="баскијски" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D8%B5%D8%AD%DB%8C%D8%AD" title="عدد صحیح — персијски" lang="fa" hreflang="fa" data-title="عدد صحیح" data-language-autonym="فارسی" data-language-local-name="персијски" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Heiltal" title="Heiltal — фарски" lang="fo" hreflang="fo" data-title="Heiltal" data-language-autonym="Føroyskt" data-language-local-name="фарски" 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/Entier_relatif" title="Entier relatif — француски" lang="fr" hreflang="fr" data-title="Entier relatif" data-language-autonym="Français" data-language-local-name="француски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Sl%C3%A1nuimhir" title="Slánuimhir — ирски" lang="ga" hreflang="ga" data-title="Slánuimhir" data-language-autonym="Gaeilge" data-language-local-name="ирски" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero_enteiro" title="Número enteiro — галицијски" lang="gl" hreflang="gl" data-title="Número enteiro" data-language-autonym="Galego" data-language-local-name="галицијски" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%91%D3%80%D0%B0%D1%80%D1%87%D1%87%D0%B0_%D1%82%D0%B0%D1%8C%D1%80%D0%B0%D1%85%D1%8C" title="БӀарчча таьрахь — ингушки" lang="inh" hreflang="inh" data-title="БӀарчча таьрахь" data-language-autonym="ГӀалгӀай" data-language-local-name="ингушки" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%95%B4%E6%95%B8" title="整數 — Gan" lang="gan" hreflang="gan" data-title="整數" 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-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%AA%E0%AB%82%E0%AA%B0%E0%AB%8D%E0%AA%A3%E0%AA%BE%E0%AA%82%E0%AA%95_%E0%AA%B8%E0%AA%82%E0%AA%96%E0%AB%8D%E0%AA%AF%E0%AA%BE%E0%AA%93" title="પૂર્ણાંક સંખ્યાઓ — гуџарати" lang="gu" hreflang="gu" data-title="પૂર્ણાંક સંખ્યાઓ" data-language-autonym="ગુજરાતી" data-language-local-name="гуџарати" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%91%D2%AF%D0%BA%D0%BB_%D1%82%D0%BE%D0%B9%D0%B3" title="Бүкл тойг — калмички" lang="xal" hreflang="xal" data-title="Бүкл тойг" data-language-autonym="Хальмг" data-language-local-name="калмички" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/Helu_piha" title="Helu piha — хавајски" lang="haw" hreflang="haw" data-title="Helu piha" data-language-autonym="Hawaiʻi" data-language-local-name="хавајски" 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_%D7%A9%D7%9C%D7%9D" title="מספר שלם — хебрејски" lang="he" hreflang="he" data-title="מספר שלם" data-language-autonym="עברית" data-language-local-name="хебрејски" 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%AA%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%BE%E0%A4%82%E0%A4%95" title="पूर्णांक — хинди" lang="hi" hreflang="hi" data-title="पूर्णांक" data-language-autonym="हिन्दी" data-language-local-name="хинди" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://hsb.wikipedia.org/wiki/Cy%C5%82a_li%C4%8Dba" title="Cyła ličba — горњолужичкосрпски" lang="hsb" hreflang="hsb" data-title="Cyła ličba" data-language-autonym="Hornjoserbsce" data-language-local-name="горњолужичкосрпски" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Cijeli_broj" title="Cijeli broj — хрватски" lang="hr" hreflang="hr" data-title="Cijeli broj" data-language-autonym="Hrvatski" data-language-local-name="хрватски" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%B4%D5%A2%D5%B8%D5%B2%D5%BB_%D5%A9%D5%AB%D5%BE" title="Ամբողջ թիվ — јерменски" lang="hy" hreflang="hy" data-title="Ամբողջ թիվ" data-language-autonym="Հայերեն" data-language-local-name="јерменски" 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%B1%D5%B4%D5%A2%D5%B8%D5%B2%D5%BB_%D5%A9%D5%AB%D6%82" title="Ամբողջ թիւ — Western Armenian" lang="hyw" hreflang="hyw" data-title="Ամբողջ 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-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Integro" title="Integro — идо" lang="io" hreflang="io" data-title="Integro" data-language-autonym="Ido" data-language-local-name="идо" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Numero_integre" title="Numero integre — интерлингва" lang="ia" hreflang="ia" data-title="Numero integre" data-language-autonym="Interlingua" data-language-local-name="интерлингва" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-integer" title="I-integer — коса" lang="xh" hreflang="xh" data-title="I-integer" data-language-autonym="IsiXhosa" data-language-local-name="коса" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Heilt%C3%B6lur" title="Heiltölur — исландски" lang="is" hreflang="is" data-title="Heiltölur" data-language-autonym="Íslenska" data-language-local-name="исландски" 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_intero" title="Numero intero — италијански" lang="it" hreflang="it" data-title="Numero intero" data-language-autonym="Italiano" data-language-local-name="италијански" 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%B4%E6%95%B0" title="整数 — јапански" lang="ja" hreflang="ja" data-title="整数" data-language-autonym="日本語" data-language-local-name="јапански" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Wilangan_bulat" title="Wilangan bulat — јавански" lang="jv" hreflang="jv" data-title="Wilangan bulat" data-language-autonym="Jawa" data-language-local-name="јавански" 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%9B%E1%83%97%E1%83%94%E1%83%9A%E1%83%98_%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="მთელი რიცხვი — грузијски" lang="ka" hreflang="ka" data-title="მთელი რიცხვი" data-language-autonym="ქართული" data-language-local-name="грузијски" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%91%D2%AF%D1%82%D1%96%D0%BD_%D1%81%D0%B0%D0%BD" title="Бүтін сан — казашки" lang="kk" hreflang="kk" data-title="Бүтін сан" data-language-autonym="Қазақша" data-language-local-name="казашки" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%91%D2%AF%D1%82%D2%AF%D0%BD_%D1%81%D0%B0%D0%BD%D0%B4%D0%B0%D1%80" title="Бүтүн сандар — киргиски" lang="ky" hreflang="ky" data-title="Бүтүн сандар" data-language-autonym="Кыргызча" data-language-local-name="киргиски" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Nambakamili" title="Nambakamili — свахили" lang="sw" hreflang="sw" data-title="Nambakamili" data-language-autonym="Kiswahili" data-language-local-name="свахили" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%95%EC%88%98" title="정수 — корејски" lang="ko" hreflang="ko" data-title="정수" data-language-autonym="한국어" data-language-local-name="корејски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Anty%C3%A9_r%C3%A9latif" title="Antyé rélatif — Guianan Creole" lang="gcr" hreflang="gcr" data-title="Antyé rélatif" 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-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Tamhejmar" title="Tamhejmar — курдски" lang="ku" hreflang="ku" data-title="Tamhejmar" data-language-autonym="Kurdî" data-language-local-name="курдски" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Numerus_integer" title="Numerus integer — латински" lang="la" hreflang="la" data-title="Numerus integer" data-language-autonym="Latina" data-language-local-name="латински" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Vesels_skaitlis" title="Vesels skaitlis — летонски" lang="lv" hreflang="lv" data-title="Vesels skaitlis" data-language-autonym="Latviešu" data-language-local-name="летонски" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Ganz_Zuel" title="Ganz Zuel — луксембуршки" lang="lb" hreflang="lb" data-title="Ganz Zuel" data-language-autonym="Lëtzebuergesch" data-language-local-name="луксембуршки" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Sveikasis_skai%C4%8Dius" title="Sveikasis skaičius — литвански" lang="lt" hreflang="lt" data-title="Sveikasis skaičius" data-language-autonym="Lietuvių" data-language-local-name="литвански" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Gans_getal" title="Gans getal — лимбуршки" lang="li" hreflang="li" data-title="Gans getal" data-language-autonym="Limburgs" data-language-local-name="лимбуршки" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Numero_intera" title="Numero intera — Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Numero intera" 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-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%E0%BA%96%E0%BB%89%E0%BA%A7%E0%BA%99" title="ຈຳນວນຖ້ວນ — лаоски" lang="lo" hreflang="lo" data-title="ຈຳນວນຖ້ວນ" data-language-autonym="ລາວ" data-language-local-name="лаоски" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/mulna%27u" title="mulna'u — ложбан" lang="jbo" hreflang="jbo" data-title="mulna'u" data-language-autonym="La .lojban." data-language-local-name="ложбан" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Numer_intreg" title="Numer intreg — ломбард" lang="lmo" hreflang="lmo" data-title="Numer intreg" data-language-autonym="Lombard" data-language-local-name="ломбард" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Eg%C3%A9sz_sz%C3%A1mok" title="Egész számok — мађарски" lang="hu" hreflang="hu" data-title="Egész számok" data-language-autonym="Magyar" data-language-local-name="мађарски" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A6%D0%B5%D0%BB_%D0%B1%D1%80%D0%BE%D1%98" title="Цел број — македонски" lang="mk" hreflang="mk" data-title="Цел број" data-language-autonym="Македонски" data-language-local-name="македонски" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Isa_tsimivaky" title="Isa tsimivaky — малгашки" lang="mg" hreflang="mg" data-title="Isa tsimivaky" data-language-autonym="Malagasy" data-language-local-name="малгашки" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Integer" title="Integer — малтешки" lang="mt" hreflang="mt" data-title="Integer" data-language-autonym="Malti" data-language-local-name="малтешки" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/N%C3%BAmaro_anteiro" title="Númaro anteiro — мирандски" lang="mwl" hreflang="mwl" data-title="Númaro anteiro" data-language-autonym="Mirandés" data-language-local-name="мирандски" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B5%82%E0%B5%BC%E0%B4%A3%E0%B5%8D%E0%B4%A3%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="പൂർണ്ണസംഖ്യ — малајалам" lang="ml" hreflang="ml" data-title="പൂർണ്ണസംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="малајалам" 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%91%D2%AF%D1%85%D1%8D%D0%BB_%D1%82%D0%BE%D0%BE" title="Бүхэл тоо — монголски" lang="mn" hreflang="mn" data-title="Бүхэл тоо" data-language-autonym="Монгол" data-language-local-name="монголски" 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%AA%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="पूर्ण संख्या — марати" lang="mr" hreflang="mr" data-title="पूर्ण संख्या" data-language-autonym="मराठी" data-language-local-name="марати" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Integer" title="Integer — фиџијски" lang="fj" hreflang="fj" data-title="Integer" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="фиџијски" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Geheel_getal" title="Geheel getal — холандски" lang="nl" hreflang="nl" data-title="Geheel getal" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Hial_taal" title="Hial taal — севернофризијски" lang="frr" hreflang="frr" data-title="Hial taal" data-language-autonym="Nordfriisk" data-language-local-name="севернофризијски" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Heltall" title="Heltall — норвешки букмол" lang="nb" hreflang="nb" data-title="Heltall" data-language-autonym="Norsk bokmål" data-language-local-name="норвешки букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Heiltal" title="Heiltal — норвешки нинорск" lang="nn" hreflang="nn" data-title="Heiltal" data-language-autonym="Norsk nynorsk" data-language-local-name="норвешки нинорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Nombre_enti%C3%A8r" title="Nombre entièr — окситански" lang="oc" hreflang="oc" data-title="Nombre entièr" data-language-autonym="Occitan" data-language-local-name="окситански" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Lakkoofsa_Intiijarii" title="Lakkoofsa Intiijarii — оромо" lang="om" hreflang="om" data-title="Lakkoofsa Intiijarii" data-language-autonym="Oromoo" data-language-local-name="оромо" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Butun_sonlar" title="Butun sonlar — узбечки" lang="uz" hreflang="uz" data-title="Butun sonlar" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="узбечки" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AA%E0%A9%82%E0%A8%B0%E0%A8%A8_%E0%A8%B8%E0%A9%B0%E0%A8%96%E0%A8%BF%E0%A8%86" title="ਪੂਰਨ ਸੰਖਿਆ — пенџапски" lang="pa" hreflang="pa" data-title="ਪੂਰਨ ਸੰਖਿਆ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="пенџапски" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/N%C3%B9mer_antregh" title="Nùmer antregh — Piedmontese" lang="pms" hreflang="pms" data-title="Nùmer antregh" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Hele_Tall" title="Hele Tall — нисконемачки" lang="nds" hreflang="nds" data-title="Hele Tall" data-language-autonym="Plattdüütsch" data-language-local-name="нисконемачки" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%A7%D9%86%D9%B9%DB%8C%D8%AC%D8%B1" title="انٹیجر — Western Punjabi" lang="pnb" hreflang="pnb" data-title="انٹیجر" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczby_ca%C5%82kowite" title="Liczby całkowite — пољски" lang="pl" hreflang="pl" data-title="Liczby całkowite" data-language-autonym="Polski" data-language-local-name="пољски" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_inteiro" title="Número inteiro — португалски" lang="pt" hreflang="pt" data-title="Número inteiro" data-language-autonym="Português" data-language-local-name="португалски" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Intiga" title="Intiga — Jamaican Creole English" lang="jam" hreflang="jam" data-title="Intiga" 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-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_%C3%AEntreg" title="Număr întreg — румунски" lang="ro" hreflang="ro" data-title="Număr întreg" data-language-autonym="Română" data-language-local-name="румунски" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437798 badge-goodarticle mw-list-item" title="добар чланак"><a href="https://ru.wikipedia.org/wiki/%D0%A6%D0%B5%D0%BB%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Целое число — руски" lang="ru" hreflang="ru" data-title="Целое число" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/Integer" title="Integer — северни сото" lang="nso" hreflang="nso" data-title="Integer" data-language-autonym="Sesotho sa Leboa" data-language-local-name="северни сото" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Numrat_e_plot%C3%AB" title="Numrat e plotë — албански" lang="sq" hreflang="sq" data-title="Numrat e plotë" data-language-autonym="Shqip" data-language-local-name="албански" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B1%E0%B7%92%E0%B6%9B%E0%B7%92%E0%B6%BD" title="නිඛිල — синхалешки" lang="si" hreflang="si" data-title="නිඛිල" data-language-autonym="සිංහල" data-language-local-name="синхалешки" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/N%C3%B9mmuru_rilativu" title="Nùmmuru rilativu — сицилијански" lang="scn" hreflang="scn" data-title="Nùmmuru rilativu" data-language-autonym="Sicilianu" data-language-local-name="сицилијански" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Integer" title="Integer — Simple English" lang="en-simple" hreflang="en-simple" data-title="Integer" 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/Cel%C3%A9_%C4%8D%C3%ADslo" title="Celé číslo — словачки" lang="sk" hreflang="sk" data-title="Celé číslo" data-language-autonym="Slovenčina" data-language-local-name="словачки" 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/Celo_%C5%A1tevilo" title="Celo število — словеначки" lang="sl" hreflang="sl" data-title="Celo število" data-language-autonym="Slovenščina" data-language-local-name="словеначки" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Co%C5%82kowito_n%C5%AFmera" title="Cołkowito nůmera — Silesian" lang="szl" hreflang="szl" data-title="Cołkowito nůmera" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Abyoone" title="Abyoone — сомалски" lang="so" hreflang="so" data-title="Abyoone" data-language-autonym="Soomaaliga" data-language-local-name="сомалски" class="interlanguage-link-target"><span>Soomaaliga</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%DB%8C_%D8%AA%DB%95%D9%88%D8%A7%D9%88" title="ژمارەی تەواو — централни курдски" lang="ckb" hreflang="ckb" data-title="ژمارەی تەواو" data-language-autonym="کوردی" data-language-local-name="централни курдски" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Cijeli_broj" title="Cijeli broj — српскохрватски" lang="sh" hreflang="sh" data-title="Cijeli broj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="српскохрватски" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kokonaisluku" title="Kokonaisluku — фински" lang="fi" hreflang="fi" data-title="Kokonaisluku" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Heltal" title="Heltal — шведски" lang="sv" hreflang="sv" data-title="Heltal" data-language-autonym="Svenska" data-language-local-name="шведски" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%81%E0%AE%B4%E0%AF%81_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="முழு எண் — тамилски" lang="ta" hreflang="ta" data-title="முழு எண்" data-language-autonym="தமிழ்" data-language-local-name="тамилски" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Buumbilang" title="Buumbilang — тагалог" lang="tl" hreflang="tl" data-title="Buumbilang" data-language-autonym="Tagalog" data-language-local-name="тагалог" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AA%E0%B1%82%E0%B0%B0%E0%B1%8D%E0%B0%A3_%E0%B0%B8%E0%B0%82%E0%B0%96%E0%B1%8D%E0%B0%AF" title="పూర్ణ సంఖ్య — телугу" lang="te" hreflang="te" data-title="పూర్ణ సంఖ్య" data-language-autonym="తెలుగు" data-language-local-name="телугу" class="interlanguage-link-target"><span>తెలుగు</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%E0%B9%80%E0%B8%95%E0%B9%87%E0%B8%A1" title="จำนวนเต็ม — тајски" lang="th" hreflang="th" data-title="จำนวนเต็ม" data-language-autonym="ไทย" data-language-local-name="тајски" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_nguy%C3%AAn" title="Số nguyên — вијетнамски" lang="vi" hreflang="vi" data-title="Số nguyên" data-language-autonym="Tiếng Việt" data-language-local-name="вијетнамски" class="interlanguage-link-target"><span>Tiếng Việt</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%D2%B3%D0%BE%D0%B8_%D0%B1%D1%83%D1%82%D1%83%D0%BD" title="Ададҳои бутун — таџички" lang="tg" hreflang="tg" data-title="Ададҳои бутун" data-language-autonym="Тоҷикӣ" data-language-local-name="таџички" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Tam_say%C4%B1" title="Tam sayı — турски" lang="tr" hreflang="tr" data-title="Tam sayı" data-language-autonym="Türkçe" data-language-local-name="турски" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Bitin_sanlar" title="Bitin sanlar — туркменски" lang="tk" hreflang="tk" data-title="Bitin sanlar" data-language-autonym="Türkmençe" data-language-local-name="туркменски" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A6%D1%96%D0%BB%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Ціле число — украјински" lang="uk" hreflang="uk" data-title="Ціле число" data-language-autonym="Українська" data-language-local-name="украјински" 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%B5%D8%AD%DB%8C%D8%AD_%D8%B9%D8%AF%D8%AF" title="صحیح عدد — урду" lang="ur" hreflang="ur" data-title="صحیح عدد" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Terveharv" title="Terveharv — Võro" lang="vro" hreflang="vro" data-title="Terveharv" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Geh%C3%AAel_getal" title="Gehêel getal — West Flemish" lang="vls" hreflang="vls" data-title="Gehêel getal" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Buok" title="Buok — варајски" lang="war" hreflang="war" data-title="Buok" data-language-autonym="Winaray" data-language-local-name="варајски" 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%B4%E6%95%B0" title="整数 — ву кинески" lang="wuu" hreflang="wuu" data-title="整数" data-language-autonym="吴语" data-language-local-name="ву кинески" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%92%D7%90%D7%A0%D7%A6%D7%A2_%D7%A6%D7%90%D7%9C" title="גאנצע צאל — јидиш" lang="yi" hreflang="yi" data-title="גאנצע צאל" data-language-autonym="ייִדיש" data-language-local-name="јидиш" 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_odidi" title="Nọ́mbà odidi — јоруба" lang="yo" hreflang="yo" data-title="Nọ́mbà odidi" data-language-autonym="Yorùbá" data-language-local-name="јоруба" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%95%B4%E6%95%B0" title="整数 — кинески" lang="zh" hreflang="zh" data-title="整数" data-language-autonym="中文" data-language-local-name="кинески" 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%B4%E6%95%B8" title="整數 — Literary Chinese" lang="lzh" hreflang="lzh" data-title="整數" 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-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%95%B4%E6%95%B8" title="整數 — кантонски" lang="yue" hreflang="yue" data-title="整數" data-language-autonym="粵語" data-language-local-name="кантонски" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a 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class="mw-content-ltr mw-parser-output" lang="sr" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r24414138">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}</style><div role="note" class="hatnote navigation-not-searchable">За другу употребу, погледајте чланак <a href="/wiki/%D0%91%D1%80%D0%BE%D1%98_(%D0%B2%D0%B8%D1%88%D0%B5%D0%B7%D0%BD%D0%B0%D1%87%D0%BD%D0%B0_%D0%BE%D0%B4%D1%80%D0%B5%D0%B4%D0%BD%D0%B8%D1%86%D0%B0)" class="mw-disambig" title="Број (вишезначна одредница)">Број (вишезначна одредница)</a>.</div> <style data-mw-deduplicate="TemplateStyles:r25554621">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box metadata side-box-right" style="width:20.0em"><style data-mw-deduplicate="TemplateStyles:r25554968">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-text plainlist"><div class="center" style="width:auto; margin-left:auto; margin-right:auto;"><span typeof="mw:File"><a href="/wiki/%D0%94%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Latex_integers.svg" class="mw-file-description" title="Цалин симбол, који се често користи за означавање сета целих бројева"><img alt="Цалин симбол, који се често користи за означавање сета целих бројева" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Latex_integers.svg/100px-Latex_integers.svg.png" decoding="async" width="100" height="113" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Latex_integers.svg/150px-Latex_integers.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Latex_integers.svg/200px-Latex_integers.svg.png 2x" data-file-width="420" data-file-height="473" /></a></span></div></div></div> <div class="side-box-abovebelow"><i><a href="https://sr.wiktionary.org/wiki/Zahlen" class="extiw" title="wikt:Zahlen">Цалин</a></i> симбол, који се често користи за означавање сета целих бројева (погледајте <a href="/w/index.php?title=List_of_mathematical_symbols&action=edit&redlink=1" class="new" title="List of mathematical symbols (страница не постоји)">списак математичких симбола</a>)</div> </div> <p><b>Цели бројеви</b>, поједностављено говорећи, су сви „округли“ <a href="/wiki/%D0%91%D1%80%D0%BE%D1%98" title="Број">бројеви</a>, тј. без децимала, укључујући нулу, позитивне и негативне бројеве.<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> То су дакле бројеви 0, 1, 2, 3, ..., 100, 101, итд, али и бројеви -1, -2, -3, ..., -100, -101, итд.<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><sup id="cite_ref-Cameron1998_3-0" class="reference"><a href="#cite_note-Cameron1998-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Скуп свих целих бројева се у <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика">математици</a> означава великим <a href="/wiki/%D0%9B%D0%B0%D1%82%D0%B8%D0%BD%D0%B8%D1%86%D0%B0" title="Латиница">латиничним</a> словом <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>, и спада у <a href="/wiki/%D0%9F%D1%80%D0%B5%D0%B1%D1%80%D0%BE%D1%98%D0%B8%D0%B2_%D1%81%D0%BA%D1%83%D0%BF" title="Пребројив скуп">пребројиве скупове</a>.<sup id="cite_ref-edexcelc1_4-0" class="reference"><a href="#cite_note-edexcelc1-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-#1_5-0" class="reference"><a href="#cite_note-#1-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> <a href="/wiki/%D0%A1%D0%BA%D1%83%D0%BF" title="Скуп">Скуп</a> целих бројева састоји се од нуле (<a href="/wiki/0_(number)" class="mw-redirect" title="0 (number)">0</a>), позитивних <a href="/wiki/Natural_number" class="mw-redirect" title="Natural number">природних бројева</a> (<a href="/wiki/1_(number)" class="mw-redirect" title="1 (number)">1</a>, <a href="/wiki/2_(number)" class="mw-redirect" title="2 (number)">2</a>, <a href="/wiki/3_(number)" class="mw-redirect" title="3 (number)">3</a>, ...), који се називају и <i>цели бројеви</i> или <i>редни бројање</i>, и њихових адитивних <a href="/w/index.php?title=Additive_inverse&action=edit&redlink=1" class="new" title="Additive inverse (страница не постоји)">инверзних</a> вредности (<i>негативни цели бројеви</i>, тј. <a href="/wiki/%E2%88%921" title="−1">−1</a>, −2, −3, ...).<sup id="cite_ref-MathWorld_CountingNumber_7-0" class="reference"><a href="#cite_note-MathWorld_CountingNumber-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-MathWorld_WholeNumber_8-0" class="reference"><a href="#cite_note-MathWorld_WholeNumber-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> Скуп целих бројева често се означава <a href="/w/index.php?title=Emphasis_(typography)&action=edit&redlink=1" class="new" title="Emphasis (typography) (страница не постоји)">подебљаним</a> словима, <span class="texhtml"><b>Z</b></span> или <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"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mo stretchy="false">)</mo> </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/4e7c394740649bbc95dc603df09ceebaac387c04" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.36ex; height:2.843ex;" alt="{\displaystyle (\mathbb {Z} )}"></span>, слова „Z”, што потиче од првобитне <a href="/wiki/German_language" class="mw-redirect" title="German language">немачке</a> речи <i><a href="https://sr.wiktionary.org/wiki/Zahlen" class="extiw" title="wikt:Zahlen">Zahlen</a></i> („бројеви”).<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Cameron1998_3-1" class="reference"><a href="#cite_note-Cameron1998-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Симбол"><span id=".D0.A1.D0.B8.D0.BC.D0.B1.D0.BE.D0.BB"></span>Симбол</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=1" title="Уредите одељак „Симбол”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=1" title="Уреди извор одељка: Симбол"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Симбол <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> се може користити да означава различите скупове, са различитим употребама међу различитим ауторима: <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"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>+</mo> </mrow> </msup> </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/628778fcf14bd3629e9b9ebacffa172b0ad6ce41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.061ex; height:2.509ex;" alt="{\displaystyle \mathbb {Z} ^{+}}"></span>,<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"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>+</mo> </mrow> </msub> </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/16cea652d9aba69b6accb9af09548981c2b4e24f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.061ex; height:2.509ex;" alt="{\displaystyle \mathbb {Z} _{+}}"></span> или <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"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>></mo> </mrow> </msup> </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/b674b889017afcd24e7b7d296f6d1746cefd2d94" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.061ex; height:2.509ex;" alt="{\displaystyle \mathbb {Z} ^{>}}"></span> за целе позитивне бројеве, <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} ^{0+}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> <mo>+</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} ^{0+}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81a3b6ad192693a6aeb684d1876f82d852fcc228" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.883ex; height:2.676ex;" alt="{\displaystyle \mathbb {Z} ^{0+}}"></span> или <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} ^{\geq }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>≥</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} ^{\geq }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2d1683538868e87548cd2a6dd28c28dfab75ff44" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.061ex; height:2.676ex;" alt="{\displaystyle \mathbb {Z} ^{\geq }}"></span> за не-негативне целе бројеве и <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} ^{\neq }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>≠</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} ^{\neq }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0413be677c88a720f7f2d2593da069808bbc252a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.061ex; height:2.676ex;" alt="{\displaystyle \mathbb {Z} ^{\neq }}"></span> за целе бројеве који нису нула. Неки аутори користе <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"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>∗</mo> </mrow> </msup> </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/45aa6a166e406bf9e192b7a32d6b140f27cd8538" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.605ex; height:2.343ex;" alt="{\displaystyle \mathbb {Z} ^{*}}"></span> за целе бројеве који нису нула, док га други користе за не-негативне целе бројеве или за <span class="texhtml">{–1, 1}</span>. Поред тога, <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} _{p}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} _{p}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dbc1df7227ef11fe88dccd2dae3adc7bbdeae5f4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.609ex; height:2.843ex;" alt="{\displaystyle \mathbb {Z} _{p}}"></span> се користи за означавање било <a href="/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D0%B0%D1%80%D0%BD%D0%B0_%D0%B0%D1%80%D0%B8%D1%82%D0%BC%D0%B5%D1%82%D0%B8%D0%BA%D0%B0" title="Модуларна аритметика">целог броја по модулу <span class="texhtml"><i>p</i></span></a> (тј., скупа <a href="/w/index.php?title=Congruence_relation&action=edit&redlink=1" class="new" title="Congruence relation (страница не постоји)">класа подударности</a> целих бројева), или скуп <a href="/w/index.php?title=P-adic_integer&action=edit&redlink=1" class="new" title="P-adic integer (страница не постоји)"><span class="texhtml"><i>p</i></span>-адитивних</a> целих бројева.<sup id="cite_ref-edexcelc1_4-1" class="reference"><a href="#cite_note-edexcelc1-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-#1_5-1" class="reference"><a href="#cite_note-#1-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Алгебарска_својства"><span id=".D0.90.D0.BB.D0.B3.D0.B5.D0.B1.D0.B0.D1.80.D1.81.D0.BA.D0.B0_.D1.81.D0.B2.D0.BE.D1.98.D1.81.D1.82.D0.B2.D0.B0"></span>Алгебарска својства</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=2" title="Уредите одељак „Алгебарска својства”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=2" title="Уреди извор одељка: Алгебарска својства"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%D0%94%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Number-line.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Number-line.svg/300px-Number-line.svg.png" decoding="async" width="300" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Number-line.svg/450px-Number-line.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/93/Number-line.svg/600px-Number-line.svg.png 2x" data-file-width="750" data-file-height="50" /></a><figcaption>Цели бројеви се могу сматрати дискретним, једнако размакнутим тачкама на бесконачно дугој <a href="/wiki/%D0%91%D1%80%D0%BE%D1%98%D0%B5%D0%B2%D0%BD%D0%B0_%D0%BF%D1%80%D0%B0%D0%B2%D0%B0" title="Бројевна права">бројевној правој</a>. У горе наведеном, <a href="/w/index.php?title=Sign_(mathematics)&action=edit&redlink=1" class="new" title="Sign (mathematics) (страница не постоји)">негативни</a> цели бројеви су приказани плавом бојом, а негативни црвени.</figcaption></figure> <p>Као и <a href="/wiki/%D0%9F%D1%80%D0%B8%D1%80%D0%BE%D0%B4%D0%B0%D0%BD_%D0%B1%D1%80%D0%BE%D1%98" title="Природан број">природни бројеви</a>, скуп <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> је <a href="/wiki/%D0%97%D0%B0%D1%82%D0%B2%D0%BE%D1%80%D0%B5%D0%BD%D0%BE%D1%81%D1%82_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Затвореност (математика)">затворен</a> за <a href="/wiki/Binary_operation" class="mw-redirect" title="Binary operation">операције</a> сабирања и <a href="/wiki/Multiplication" class="mw-redirect" title="Multiplication">множења</a>. То значи да је збир и производ било која два цела броја опет цео број. Међутим, за разлику од природних бројева, скуп целих бројева је затворен и за <a href="/wiki/Subtraction" class="mw-redirect" title="Subtraction">одузимање</a>.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> Ово не важи и за дељење, јер количник два цела броја не мора да буде цео број (на пример, 1 подељено са 2). </p> <table class="wikitable" style="margin-left: auto; margin-right: auto; border: none;"> <caption>Нека основна својства сабирања и множења било којих целих бројева, <i>a</i>, <i>b</i> и <i>c</i>. </caption> <tbody><tr> <th> </th> <th scope="col">сабирање </th> <th scope="col">множење </th></tr> <tr> <th scope="row"><a href="/wiki/%D0%97%D0%B0%D1%82%D0%B2%D0%BE%D1%80%D0%B5%D0%BD%D0%BE%D1%81%D1%82_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Затвореност (математика)">Затвореност</a>: </th> <td><span class="texhtml"><i>a</i> + <i>b</i></span><span style="padding-left:1em;"> </span>је цео број </td> <td><span class="texhtml"><i>a</i> × <i>b</i></span><span style="padding-left:1em;"> </span>је цео број </td></tr> <tr> <th scope="row"><a href="/wiki/%D0%90%D1%81%D0%BE%D1%86%D0%B8%D1%98%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82" title="Асоцијативност">Асоцијативност</a>: </th> <td><span class="texhtml"><i>a</i> + (<i>b</i> + <i>c</i>) = (<i>a</i> + <i>b</i>) + <i>c</i></span> </td> <td><span class="texhtml"><i>a</i> × (<i>b</i> × <i>c</i>) = (<i>a</i> × <i>b</i>) × <i>c</i></span> </td></tr> <tr> <th scope="row"><a href="/wiki/%D0%9A%D0%BE%D0%BC%D1%83%D1%82%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82" title="Комутативност">Комутативност</a>: </th> <td><span class="texhtml"><i>a</i> + <i>b</i> = <i>b</i> + <i>a</i></span> </td> <td><span class="texhtml"><i>a</i> × <i>b</i> = <i>b</i> × <i>a</i></span> </td></tr> <tr> <th scope="row">Постојање <a href="/wiki/%D0%9D%D0%B5%D1%83%D1%82%D1%80%D0%B0%D0%BB" title="Неутрал">елемента идентитета</a>: </th> <td><span class="texhtml"><i>a</i> + 0 = <i>a</i></span> </td> <td><span class="texhtml"><i>a</i> × 1 = <i>a</i></span> </td></tr> <tr> <th>scope="row" Постојање <a href="/wiki/%D0%98%D0%BD%D0%B2%D0%B5%D1%80%D0%B7_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Инверз (математика)">инверзних елемената</a>: </th> <td><span class="texhtml"><i>a</i> + (−<i>a</i>) = 0</span> </td> <td>Једини инвертабилни цели бројеви (који се називају <a href="/w/index.php?title=Unit_(ring_theory)&action=edit&redlink=1" class="new" title="Unit (ring theory) (страница не постоји)">јединице</a>) су <span class="texhtml">−1</span> и <span class="texhtml">1</span>. </td></tr> <tr> <th scope="row"><a href="/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82" title="Дистрибутивност">Дистрибутивност</a>: </th> <td colspan="2" align="center"><span class="texhtml"><i>a</i> × (<i>b</i> + <i>c</i>) = (<i>a</i> × <i>b</i>) + (<i>a</i> × <i>c</i>)</span><span style="padding-left:1em;"> </span>and<span style="padding-left:1em;"> </span><span class="texhtml">(<i>a</i> + <i>b</i>) × <i>c</i> = (<i>a</i> × <i>c</i>) + (<i>b</i> × <i>c</i>)</span> </td></tr> <tr> <th scope="row">Нема <a href="/w/index.php?title=Zero_divisor&action=edit&redlink=1" class="new" title="Zero divisor (страница не постоји)">нултог делитеља</a>: </th> <td></td> <td>Ако је <span class="texhtml"><i>a</i> × <i>b</i> = 0</span>, онда <span class="texhtml"><i>a</i> = 0</span> или <span class="texhtml"><i>b</i> = 0</span> (или оба) </td></tr></tbody></table> <p>Правила за сабирање целих бројева: </p> <ul><li>Знак збира је исти као знак сабирка са већом апсолутном вредношћу.</li> <li>Апсолутна вредност збира једнака је: <ul><li>збиру апсолутних вредности сабирака, ако су знаци сабирака исти;</li> <li>разлици апсолутних вредности сабирака, ако су знаци сабирака различити.</li></ul></li></ul> <div class="mw-heading mw-heading2"><h2 id="Теоретска_својства_реда"><span id=".D0.A2.D0.B5.D0.BE.D1.80.D0.B5.D1.82.D1.81.D0.BA.D0.B0_.D1.81.D0.B2.D0.BE.D1.98.D1.81.D1.82.D0.B2.D0.B0_.D1.80.D0.B5.D0.B4.D0.B0"></span>Теоретска својства реда</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=3" title="Уредите одељак „Теоретска својства реда”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=3" title="Уреди извор одељка: Теоретска својства реда"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \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> је <a href="/w/index.php?title=Total_order&action=edit&redlink=1" class="new" title="Total order (страница не постоји)">потпуно уређен скуп</a> без <a href="/w/index.php?title=Upper_and_lower_bounds&action=edit&redlink=1" class="new" title="Upper and lower bounds (страница не постоји)">горње или доње границе</a>. Редослед <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> је дат са: <span class="texhtml">... −3 < −2 < −1 < 0 < 1 < 2 < 3 < ...</span> Цео број је <i>позитиван</i> ако је већи од <a href="/wiki/0_(%D0%B1%D1%80%D0%BE%D1%98)" title="0 (број)">нуле</a>, а <i>негативан</i> ако је мањи од нуле. Нула се дефинише као ни негативна, нити позитивна. </p><p>Поредак целих бројева компатибилан је са алгебарским операцијама на следећи начин: </p> <ol><li>ако су <span class="texhtml"><i>a</i> < <i>b</i></span> и <span class="texhtml"><i>c</i> < <i>d</i></span>, онда је <span class="texhtml"><i>a</i> + <i>c</i> < <i>b</i> + <i>d</i></span></li> <li>ако је <span class="texhtml"><i>a</i> < <i>b</i></span> и <span class="texhtml">0 < <i>c</i></span>, онда је <span class="texhtml"><i>ac</i> < <i>bc</i></span>.</li></ol> <p>Стога следи да је <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> заједно са горенаведеним редоследом <a href="/w/index.php?title=Ordered_ring&action=edit&redlink=1" class="new" title="Ordered ring (страница не постоји)">уређен прстен</a>. </p><p>Цели бројеви су једина нетривијална <a href="/w/index.php?title=Total_order&action=edit&redlink=1" class="new" title="Total order (страница не постоји)">потпуно уређена</a> <a href="/wiki/Abelian_group" class="mw-redirect" title="Abelian group">абеловска група</a> чији су позитивни елементи <a href="/w/index.php?title=Well-order&action=edit&redlink=1" class="new" title="Well-order (страница не постоји)">добро уређени</a>.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Ово је еквивалентно тврдњи да је било који <a href="/w/index.php?title=Noetherian_ring&action=edit&redlink=1" class="new" title="Noetherian ring (страница не постоји)">Нотеров</a> <a href="/w/index.php?title=Valuation_ring&action=edit&redlink=1" class="new" title="Valuation ring (страница не постоји)">прстен вредновања</a> <a href="/wiki/Field_(mathematics)" class="mw-redirect" title="Field (mathematics)">поље</a> - или <a href="/w/index.php?title=Discrete_valuation_ring&action=edit&redlink=1" class="new" title="Discrete valuation ring (страница не постоји)">дискретни прстен вредновања</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Конструкција"><span id=".D0.9A.D0.BE.D0.BD.D1.81.D1.82.D1.80.D1.83.D0.BA.D1.86.D0.B8.D1.98.D0.B0"></span>Конструкција</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=4" title="Уредите одељак „Конструкција”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=4" title="Уреди извор одељка: Конструкција"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/%D0%94%D0%B0%D1%82%D0%BE%D1%82%D0%B5%D0%BA%D0%B0:Relative_numbers_representation.svg" class="mw-file-description"><img alt="Representation of equivalence classes for the numbers −5 to 5" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Relative_numbers_representation.svg/330px-Relative_numbers_representation.svg.png" decoding="async" width="330" height="318" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Relative_numbers_representation.svg/495px-Relative_numbers_representation.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Relative_numbers_representation.svg/660px-Relative_numbers_representation.svg.png 2x" data-file-width="512" data-file-height="494" /></a><figcaption>Црвене тачке представљају уређене парове <a href="/wiki/Natural_number" class="mw-redirect" title="Natural number">природних бројева</a>. Повезане црвене тачке су класе еквиваленције које представљају плаве целе бројеве на крају реда.</figcaption></figure> <p>У настави основних школа цели бројеви се често интуитивно дефинишу као (позитивни) природни бројеви, <a href="/wiki/0_(%D0%B1%D1%80%D0%BE%D1%98)" title="0 (број)">нула</a> и негације природних бројева. Међутим, овај стил дефиниције доводи до много различитих случајева (сваку аритметичку операцију треба дефинисати на свакој комбинацији типова целих бројева) и тиме се отежава доказивање да се цели бројеви покоравају различитим законима аритметике.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Због тога се у савременој теоретској математици скупова уместо тога често користи апстрактнија конструкција<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> која омогућава дефинисање аритметичких операција без разликовања засебних подсетова.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> Тако се цели бројеви могу формално конструисати као <a href="/w/index.php?title=Equivalence_class&action=edit&redlink=1" class="new" title="Equivalence class (страница не постоји)">класе еквиваленције</a> <a href="/wiki/%D0%A3%D1%80%D0%B5%D1%92%D0%B5%D0%BD%D0%B8_%D0%BF%D0%B0%D1%80" title="Уређени пар">уређених парова</a> <a href="/wiki/Natural_number" class="mw-redirect" title="Natural number">природних бројева</a> <span class="texhtml">(<i>a</i>,<i>b</i>)</span>.<sup id="cite_ref-Campbell-1970-p83_17-0" class="reference"><a href="#cite_note-Campbell-1970-p83-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> </p><p>Интуитивно разумевање је да <span class="texhtml">(<i>a</i>,<i>b</i>)</span> представља резултат одузимања <span class="texhtml"><i>b</i></span> од <span class="texhtml"><i>a</i></span>.<sup id="cite_ref-Campbell-1970-p83_17-1" class="reference"><a href="#cite_note-Campbell-1970-p83-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> Да би се потврдило очекивање да <span class="nowrap">1 − 2</span> и <span class="nowrap">4 − 5</span> означавају исти број, дефинише се <a href="/wiki/%D0%A0%D0%B5%D0%BB%D0%B0%D1%86%D0%B8%D1%98%D0%B0_%D0%B5%D0%BA%D0%B2%D0%B8%D0%B2%D0%B0%D0%BB%D0%B5%D0%BD%D1%86%D0%B8%D1%98%D0%B5" title="Релација еквиваленције">однос еквиваленције</a> <span class="texhtml">~</span> на овим паровима следећим правилом: </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 (a,b)\sim (c,d)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>∼</mo> <mo stretchy="false">(</mo> <mi>c</mi> <mo>,</mo> <mi>d</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (a,b)\sim (c,d)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f9eed2e08692e7ce42d13803af10157e550d6328" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.235ex; height:2.843ex;" alt="{\displaystyle (a,b)\sim (c,d)}"></span></dd></dl> <p>тачно када </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 a+d=b+c.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>d</mi> <mo>=</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+d=b+c.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/841eb6f725df18e7006fa0d5c4811b006236178c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:13.876ex; height:2.343ex;" alt="{\displaystyle a+d=b+c.}"></span></dd></dl> <p>Сабирање и множење целих бројева може се дефинисати у смислу еквивалентних операција на природним бројевима;<sup id="cite_ref-Campbell-1970-p83_17-2" class="reference"><a href="#cite_note-Campbell-1970-p83-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> коришћењем <span class="texhtml">[(<i>a</i>,<i>b</i>)]</span> за означавање класе еквиваленције која има <span class="texhtml">(<i>a</i>,<i>b</i>)</span> као члан, добија се: </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 [(a,b)]+[(c,d)]:=[(a+c,b+d)].}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>+</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>c</mi> <mo>,</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>:=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>c</mi> <mo>,</mo> <mi>b</mi> <mo>+</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [(a,b)]+[(c,d)]:=[(a+c,b+d)].}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ada63de55374aa09013be65caa1c33aa0164ecb3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.224ex; height:2.843ex;" alt="{\displaystyle [(a,b)]+[(c,d)]:=[(a+c,b+d)].}"></span></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 [(a,b)]\cdot [(c,d)]:=[(ac+bd,ad+bc)].}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>⋅</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>c</mi> <mo>,</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>:=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mi>c</mi> <mo>+</mo> <mi>b</mi> <mi>d</mi> <mo>,</mo> <mi>a</mi> <mi>d</mi> <mo>+</mo> <mi>b</mi> <mi>c</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [(a,b)]\cdot [(c,d)]:=[(ac+bd,ad+bc)].}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ea8c51ad5f2968fcf5788eb220d4f4463b28588" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:37.513ex; height:2.843ex;" alt="{\displaystyle [(a,b)]\cdot [(c,d)]:=[(ac+bd,ad+bc)].}"></span></dd></dl> <p>Негација (или инверзни адитив) целог броја добија се обрнутим редоследом пара: </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 -[(a,b)]:=[(b,a)].}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>:=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>,</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -[(a,b)]:=[(b,a)].}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/951d0171ed1edf705e70392352f3d07b94ed4c74" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.929ex; height:2.843ex;" alt="{\displaystyle -[(a,b)]:=[(b,a)].}"></span></dd></dl> <p>Отуда се одузимање може дефинисати као сабирање инверзије адитива: </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 [(a,b)]-[(c,d)]:=[(a+d,b+c)].}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>−</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>c</mi> <mo>,</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>:=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>d</mi> <mo>,</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [(a,b)]-[(c,d)]:=[(a+d,b+c)].}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef8af489c7cff40fe4cfe66d5a706837fc0a6df6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.224ex; height:2.843ex;" alt="{\displaystyle [(a,b)]-[(c,d)]:=[(a+d,b+c)].}"></span></dd></dl> <p>Стандардно уређивање целих бројева дато је са: </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 [(a,b)]<[(c,d)]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo><</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>c</mi> <mo>,</mo> <mi>d</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [(a,b)]<[(c,d)]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d5f5d9d3f2ef39e8cf90692589f0b97945454536" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.822ex; height:2.843ex;" alt="{\displaystyle [(a,b)]<[(c,d)]}"></span> <a href="/wiki/%D0%90%D0%BA%D0%BE_%D0%B8_%D1%81%D0%B0%D0%BC%D0%BE_%D0%B0%D0%BA%D0%BE" title="Ако и само ако">ако и само ако</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 a+d<b+c.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>d</mi> <mo><</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+d<b+c.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e67ade3d92d34e0bc68f6f59b0bad905d997c047" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:13.876ex; height:2.343ex;" alt="{\displaystyle a+d<b+c.}"></span></dd></dl> <p>Лако се може проверити да су ове дефиниције независне од избора представника класа еквиваленције. </p><p>Свака класа еквиваленције има јединствени члан који има облик <span class="texhtml">(<i>n</i>,0)</span> или <span class="texhtml">(0,<i>n</i>)</span> (или оба одједном). Природни број <span class="texhtml"><i>n</i></span> је идентификован са класом <span class="texhtml">[(<i>n</i>,0)]</span> (i.e.. природни бројеви су <a href="/w/index.php?title=Embedding&action=edit&redlink=1" class="new" title="Embedding (страница не постоји)">део</a> целих бројева папирањем <span class="texhtml"><i>n</i></span> у <span class="texhtml">[(<i>n</i>,0)]</span>), и класа <span class="texhtml">[(0,<i>n</i>)]</span> је означена као <span class="texhtml">−<i>n</i></span> (ово покрива све преостале класе и даје класу <span class="texhtml">[(0,0)]</span> други пут јер је <span class="texhtml">−0 = 0.</span> </p><p>Тако је, <span class="texhtml">[(<i>a</i>,<i>b</i>)]</span> означено са </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 {\begin{cases}a-b,&{\mbox{ако је }}a\geq b\\-(b-a),&{\mbox{ако је }}a<b.\end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mi>a</mi> <mo>−</mo> <mi>b</mi> <mo>,</mo> </mtd> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>ако је </mtext> </mstyle> </mrow> <mi>a</mi> <mo>≥</mo> <mi>b</mi> </mtd> </mtr> <mtr> <mtd> <mo>−</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>,</mo> </mtd> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>ако је </mtext> </mstyle> </mrow> <mi>a</mi> <mo><</mo> <mi>b</mi> <mo>.</mo> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{cases}a-b,&{\mbox{ако је }}a\geq b\\-(b-a),&{\mbox{ако је }}a<b.\end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cda26efc068093bd35171d3b25f80864eafb40fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:28.497ex; height:7.509ex;" alt="{\displaystyle {\begin{cases}a-b,&{\mbox{ако је }}a\geq b\\-(b-a),&{\mbox{ако је }}a<b.\end{cases}}}"></span></dd></dl> <p>Ако су природни бројеви идентификовани са одговарајућим целим бројевима (користећи горе наведена уграђивања), ова конвенција не ствара нејасноће. </p><p>Овај запис опоравља познати <a href="/wiki/Group_representation" class="mw-redirect" title="Group representation">приказ</a> целих бројева као <span class="texhtml">{..., −2, −1, 0, 1, 2, ...} </span>. </p><p>Неки примери су: </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 {\begin{aligned}0&=[(0,0)]&=[(1,1)]&=\cdots &&=[(k,k)]\\1&=[(1,0)]&=[(2,1)]&=\cdots &&=[(k+1,k)]\\-1&=[(0,1)]&=[(1,2)]&=\cdots &&=[(k,k+1)]\\2&=[(2,0)]&=[(3,1)]&=\cdots &&=[(k+2,k)]\\-2&=[(0,2)]&=[(1,3)]&=\cdots &&=[(k,k+2)].\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>0</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>⋯</mo> </mtd> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>,</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>0</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>⋯</mo> </mtd> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> </mtr> <mtr> <mtd> <mo>−</mo> <mn>1</mn> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>⋯</mo> </mtd> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>,</mo> <mi>k</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>,</mo> <mn>0</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>⋯</mo> </mtd> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>2</mn> <mo>,</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> </mtr> <mtr> <mtd> <mo>−</mo> <mn>2</mn> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>,</mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> </mtd> <mtd> <mi></mi> <mo>=</mo> <mo>⋯</mo> </mtd> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mo stretchy="false">[</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mo>,</mo> <mi>k</mi> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo stretchy="false">]</mo> <mo>.</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}0&=[(0,0)]&=[(1,1)]&=\cdots &&=[(k,k)]\\1&=[(1,0)]&=[(2,1)]&=\cdots &&=[(k+1,k)]\\-1&=[(0,1)]&=[(1,2)]&=\cdots &&=[(k,k+1)]\\2&=[(2,0)]&=[(3,1)]&=\cdots &&=[(k+2,k)]\\-2&=[(0,2)]&=[(1,3)]&=\cdots &&=[(k,k+2)].\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/325c6a83a84e4fe08bac03e453f674b1ff83eac1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -7.171ex; width:51.617ex; height:15.509ex;" alt="{\displaystyle {\begin{aligned}0&=[(0,0)]&=[(1,1)]&=\cdots &&=[(k,k)]\\1&=[(1,0)]&=[(2,1)]&=\cdots &&=[(k+1,k)]\\-1&=[(0,1)]&=[(1,2)]&=\cdots &&=[(k,k+1)]\\2&=[(2,0)]&=[(3,1)]&=\cdots &&=[(k+2,k)]\\-2&=[(0,2)]&=[(1,3)]&=\cdots &&=[(k,k+2)].\end{aligned}}}"></span></dd></dl> <p>У теоријском рачунарству други приступи за конструисање целих бројева користе се помоћу <a href="/wiki/Automated_theorem_proving" class="mw-redirect" title="Automated theorem proving">аутоматизованих доказивача теорема</a> и механизама за <a href="/w/index.php?title=Rewriting&action=edit&redlink=1" class="new" title="Rewriting (страница не постоји)">реформулацију</a> термина. Цели бројеви су представљени као <a href="/w/index.php?title=Term_algebra&action=edit&redlink=1" class="new" title="Term algebra (страница не постоји)">алгебарски појмови</a> изграђени помоћу неколико основних операција (нпр. <i>zero</i>, <i>succ</i>, <i>pred</i>) и, вероватно, коришћењем <a href="/wiki/Natural_number" class="mw-redirect" title="Natural number">природних бројева</a>, за које се претпоставља да су већ конструисани (користећи, рецимо, <a href="/wiki/%D0%9F%D0%B5%D0%B0%D0%BD%D0%BE%D0%B2%D0%B5_%D0%B0%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B5" title="Пеанове аксиоме">Пеанов приступ</a>). </p><p>Постоји најмање десет таквих конструкција знаковних целих бројева.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> Ове конструкције се разликују на неколико начина: број основних операција које се користе за конструкцију, број (обично између 0 и 2) и врсте аргумената које ове операције прихватају; присуство или одсуство природних бројева као аргумената неких од ових операција и чињеница да су те операције слободни конструктори или не, тј. да се исти цео број може представити користећи само један или више алгебарских појмова. </p> <div class="mw-heading mw-heading2"><h2 id="Референце"><span id=".D0.A0.D0.B5.D1.84.D0.B5.D1.80.D0.B5.D0.BD.D1.86.D0.B5"></span>Референце</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=5" title="Уредите одељак „Референце”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=5" title="Уреди извор одељка: Референце"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r28440201">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><cite class="citation book">Evans, Nick (1995). „A-Quantifiers and Scope”. Ур.: Bach, Emmon W. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=NlQL97qBSZkC"><i>Quantification in Natural Languages</i></a>. Dordrecht, The Netherlands; Boston, MA: Kluwer Academic Publishers. стр. 262. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-7923-3352-4" title="Посебно:Штампани извори/978-0-7923-3352-4">978-0-7923-3352-4</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=A-Quantifiers+and+Scope&rft.aufirst=Nick&rft.aulast=Evans&rft.btitle=Quantification+in+Natural+Languages&rft.date=1995&rft.genre=bookitem&rft.isbn=978-0-7923-3352-4&rft.pages=262&rft.place=Dordrecht%2C+The+Netherlands%3B+Boston%2C+MA&rft.pub=Kluwer+Academic+Publishers&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DNlQL97qBSZkC&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web">Miller, Jeff (2010-08-29). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100131022510/http://jeff560.tripod.com/nth.html">„Earliest Uses of Symbols of Number Theory”</a>. Архивирано из <a rel="nofollow" class="external text" href="http://jeff560.tripod.com/nth.html">оригинала</a> 31. 01. 2010. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2010-09-20</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Jeff&rft.aulast=Miller&rft.btitle=Earliest+Uses+of+Symbols+of+Number+Theory&rft.date=2010-08-29&rft.genre=unknown&rft_id=http%3A%2F%2Fjeff560.tripod.com%2Fnth.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-Cameron1998-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-Cameron1998_3-0"><sup><i><b>а</b></i></sup></a> <a href="#cite_ref-Cameron1998_3-1"><sup><i><b>б</b></i></sup></a></span> <span class="reference-text"><cite class="citation book">Peter Jephson Cameron (1998). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=syYYl-NVM5IC&pg=PA4"><i>Introduction to Algebra</i></a>. Oxford University Press. стр. 4. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-19-850195-4" title="Посебно:Штампани извори/978-0-19-850195-4">978-0-19-850195-4</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161208142220/https://books.google.com/books?id=syYYl-NVM5IC&pg=PA4">Архивирано</a> из оригинала 2016-12-08. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2016-02-15</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.au=Peter+Jephson+Cameron&rft.btitle=Introduction+to+Algebra&rft.date=1998&rft.genre=book&rft.isbn=978-0-19-850195-4&rft.pages=4&rft.pub=Oxford+University+Press&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DsyYYl-NVM5IC%26pg%3DPA4&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-edexcelc1-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-edexcelc1_4-0"><sup><i><b>а</b></i></sup></a> <a href="#cite_ref-edexcelc1_4-1"><sup><i><b>б</b></i></sup></a></span> <span class="reference-text">Keith Pledger and Dave Wilkins, "Edexcel AS and A Level Modular Mathematics: Core Mathematics 1" Pearson 2008</span> </li> <li id="cite_note-#1-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-#1_5-0"><sup><i><b>а</b></i></sup></a> <a href="#cite_ref-#1_5-1"><sup><i><b>б</b></i></sup></a></span> <span class="reference-text">LK Turner, FJ BUdden, D Knighton, "Advanced Mathematics", Book 2, Longman 1975.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><span class="citation mathworld" id="Reference-Mathworld-Z^*"><cite class="citation web">Weisstein, Eric W. <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Z^*.html">„Z^*”</a>. <i><a href="/w/index.php?title=MathWorld&action=edit&redlink=1" class="new" title="MathWorld (страница не постоји)">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Z%5E%2A&rft.au=Weisstein%2C+Eric+W.&rft.genre=unknown&rft.jtitle=MathWorld&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FZ%5E%2A.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span></span> </li> <li id="cite_note-MathWorld_CountingNumber-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-MathWorld_CountingNumber_7-0">^</a></b></span> <span class="reference-text"><span class="citation mathworld" id="Reference-Mathworld-Counting_Number"><cite class="citation web">Weisstein, Eric W. <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/CountingNumber.html">„Counting Number”</a>. <i><a href="/w/index.php?title=MathWorld&action=edit&redlink=1" class="new" title="MathWorld (страница не постоји)">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Counting+Number&rft.au=Weisstein%2C+Eric+W.&rft.genre=unknown&rft.jtitle=MathWorld&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FCountingNumber.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span></span> </li> <li id="cite_note-MathWorld_WholeNumber-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-MathWorld_WholeNumber_8-0">^</a></b></span> <span class="reference-text"><span class="citation mathworld" id="Reference-Mathworld-Whole_Number"><cite class="citation web">Weisstein, Eric W. <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/WholeNumber.html">„Whole Number”</a>. <i><a href="/w/index.php?title=MathWorld&action=edit&redlink=1" class="new" title="MathWorld (страница не постоји)">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Whole+Number&rft.au=Weisstein%2C+Eric+W.&rft.genre=unknown&rft.jtitle=MathWorld&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FWholeNumber.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><cite class="citation web">Weisstein, Eric W. <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/Integer.html">„Integer”</a>. <i>mathworld.wolfram.com</i> (на језику: енглески)<span class="reference-accessdate">. Приступљено <span class="nowrap">2020-08-11</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Integer&rft.aufirst=Eric+W.&rft.aulast=Weisstein&rft.genre=unknown&rft.jtitle=mathworld.wolfram.com&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FInteger.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><cite class="citation web">Miller, Jeff (2010-08-29). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100131022510/http://jeff560.tripod.com/nth.html">„Earliest Uses of Symbols of Number Theory”</a>. Архивирано из <a rel="nofollow" class="external text" href="http://jeff560.tripod.com/nth.html">оригинала</a> 2010-01-31. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2010-09-20</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Jeff&rft.aulast=Miller&rft.btitle=Earliest+Uses+of+Symbols+of+Number+Theory&rft.date=2010-08-29&rft.genre=unknown&rft_id=http%3A%2F%2Fjeff560.tripod.com%2Fnth.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><span class="citation mathworld" id="Reference-Mathworld-Z^*"><cite class="citation web">Weisstein, Eric W. <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Z^*.html">„Z^*”</a>. <i><a href="/w/index.php?title=MathWorld&action=edit&redlink=1" class="new" title="MathWorld (страница не постоји)">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Z%5E%2A&rft.au=Weisstein%2C+Eric+W.&rft.genre=unknown&rft.jtitle=MathWorld&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FZ%5E%2A.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://www.britannica.com/science/integer">„Integer | mathematics”</a>. <i>Encyclopedia Britannica</i> (на језику: енглески)<span class="reference-accessdate">. Приступљено <span class="nowrap">2020-08-11</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Integer+%7C+mathematics&rft.genre=unknown&rft.jtitle=Encyclopedia+Britannica&rft_id=https%3A%2F%2Fwww.britannica.com%2Fscience%2Finteger&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><cite class="citation book">Warner, Seth (2012). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=TqHDAgAAQBAJ&pg=PA185"><i>Modern Algebra</i></a>. Dover Books on Mathematics. Courier Corporation. Theorem 20.14, p. 185. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-486-13709-4" title="Посебно:Штампани извори/978-0-486-13709-4">978-0-486-13709-4</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20150906083836/https://books.google.com/books?id=TqHDAgAAQBAJ&pg=PA185">Архивирано</a> из оригинала 2015-09-06. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2015-04-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Seth&rft.aulast=Warner&rft.btitle=Modern+Algebra&rft.date=2012&rft.genre=book&rft.isbn=978-0-486-13709-4&rft.pages=Theorem+20.14%2C+p.-185&rft.pub=Courier+Corporation&rft.series=Dover+Books+on+Mathematics&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DTqHDAgAAQBAJ%26pg%3DPA185&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>.</span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><cite class="citation book">Mendelson, Elliott (2008). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=3domViIV7HMC&pg=PA86"><i>Number Systems and the Foundations of Analysis</i></a>. Dover Books on Mathematics. Courier Dover Publications. стр. 86. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-486-45792-5" title="Посебно:Штампани извори/978-0-486-45792-5">978-0-486-45792-5</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161208233040/https://books.google.com/books?id=3domViIV7HMC&pg=PA86">Архивирано</a> из оригинала 2016-12-08. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2016-02-15</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Elliott&rft.aulast=Mendelson&rft.btitle=Number+Systems+and+the+Foundations+of+Analysis&rft.date=2008&rft.genre=book&rft.isbn=978-0-486-45792-5&rft.pages=86&rft.pub=Courier+Dover+Publications&rft.series=Dover+Books+on+Mathematics&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D3domViIV7HMC%26pg%3DPA86&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>.</span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><cite class="citation book">Ivorra Castillo. <i>Álgebra</i>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.au=Ivorra+Castillo&rft.btitle=%C3%81lgebra&rft.genre=book&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><cite class="citation book">Frobisher, Len (1999). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=KwJQIt4jQHUC&pg=PA126"><i>Learning to Teach Number: A Handbook for Students and Teachers in the Primary School</i></a>. The Stanley Thornes Teaching Primary Maths Series. Nelson Thornes. стр. 126. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-7487-3515-0" title="Посебно:Штампани извори/978-0-7487-3515-0">978-0-7487-3515-0</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161208121843/https://books.google.com/books?id=KwJQIt4jQHUC&pg=PA126">Архивирано</a> из оригинала 2016-12-08. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2016-02-15</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Len&rft.aulast=Frobisher&rft.btitle=Learning+to+Teach+Number%3A+A+Handbook+for+Students+and+Teachers+in+the+Primary+School&rft.date=1999&rft.genre=book&rft.isbn=978-0-7487-3515-0&rft.pages=126&rft.pub=Nelson+Thornes&rft.series=The+Stanley+Thornes+Teaching+Primary+Maths+Series&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DKwJQIt4jQHUC%26pg%3DPA126&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>.</span> </li> <li id="cite_note-Campbell-1970-p83-17"><span class="mw-cite-backlink">^ <a href="#cite_ref-Campbell-1970-p83_17-0"><sup><i><b>а</b></i></sup></a> <a href="#cite_ref-Campbell-1970-p83_17-1"><sup><i><b>б</b></i></sup></a> <a href="#cite_ref-Campbell-1970-p83_17-2"><sup><i><b>в</b></i></sup></a></span> <span class="reference-text"><cite class="citation book">Campbell, Howard E. (1970). <span class="plainlinks"><a rel="nofollow" class="external text" href="https://archive.org/details/structureofarith00camp/page/83"><i>The structure of <span class="nowrap">arithmetic<span style="padding-left:0.15em"><span typeof="mw:File"><span title="Неопходна слободна регистрација"><img alt="Неопходна слободна регистрација" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/9px-Lock-blue-alt-2.svg.png" decoding="async" width="9" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/14px-Lock-blue-alt-2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Lock-blue-alt-2.svg/18px-Lock-blue-alt-2.svg.png 2x" data-file-width="512" data-file-height="813" /></span></span></span></span></i></a></span>. Appleton-Century-Crofts. стр. <a rel="nofollow" class="external text" href="https://archive.org/details/structureofarith00camp/page/83">83</a>. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-0-390-16895-5" title="Посебно:Штампани извори/978-0-390-16895-5">978-0-390-16895-5</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.au=Campbell%2C+Howard+E.&rft.btitle=The+structure+of+arithmetic&rft.date=1970&rft.genre=book&rft.isbn=978-0-390-16895-5&rft.pages=83&rft.pub=Appleton-Century-Crofts&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fstructureofarith00camp%2Fpage%2F83&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text"><cite class="citation conference">Garavel, Hubert (2017). <a rel="nofollow" class="external text" href="https://hal.inria.fr/hal-01667321"><i>On the Most Suitable Axiomatization of Signed Integers</i></a>. Post-proceedings of the 23rd International Workshop on Algebraic Development Techniques (WADT'2016). Lecture Notes in Computer Science. 10644. Springer. стр. 120—134. <a href="/wiki/Digitalni_identifikator_objekta" title="Digitalni identifikator objekta">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-3-319-72044-9_9">10.1007/978-3-319-72044-9_9</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20180126125528/https://hal.inria.fr/hal-01667321">Архивирано</a> из оригинала 2018-01-26. г<span class="reference-accessdate">. Приступљено <span class="nowrap">2018-01-25</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Hubert&rft.aulast=Garavel&rft.btitle=On+the+Most+Suitable+Axiomatization+of+Signed+Integers&rft.date=2017&rft.genre=conference&rft.pages=120-134&rft.pub=Springer&rft.series=Lecture+Notes+in+Computer+Science&rft_id=https%3A%2F%2Fhal.inria.fr%2Fhal-01667321&rft_id=info%3Adoi%2F10.1007%2F978-3-319-72044-9_9&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Литература"><span id=".D0.9B.D0.B8.D1.82.D0.B5.D1.80.D0.B0.D1.82.D1.83.D1.80.D0.B0"></span>Литература</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=6" title="Уредите одељак „Литература”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=6" title="Уреди извор одељка: Литература"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r28440192">.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}@media screen{.mw-parser-output .refbegin{font-size:90%}}</style><div class="refbegin" style=""> <ul><li><a href="/w/index.php?title=Eric_Temple_Bell&action=edit&redlink=1" class="new" title="Eric Temple Bell (страница не постоји)">Bell, E.T.</a>, <i><a href="/w/index.php?title=Men_of_Mathematics&action=edit&redlink=1" class="new" title="Men of Mathematics (страница не постоји)">Men of Mathematics</a>.</i> New York: Simon & Schuster, 1986. (Hardcover; <cite class="citation book">Bell, Eric Temple (1965). <i>Men of Mathematics. The Lives and Achievements of the Great Mathematicians from Zeno to Poincare</i>. Simon and Schuster. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-671-46400-0" title="Посебно:Штампани извори/0-671-46400-0">0-671-46400-0</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=Eric+Temple&rft.aulast=Bell&rft.btitle=Men+of+Mathematics.+The+Lives+and+Achievements+of+the+Great+Mathematicians+from+Zeno+to+Poincare&rft.date=1965&rft.genre=book&rft.isbn=0-671-46400-0&rft.pub=Simon+and+Schuster&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>)/(Paperback; <cite class="citation book">Bell, E. T. (15. 10. 1986). <a rel="nofollow" class="external text" href="https://archive.org/details/menofmathematics0000bell"><i>Men of Mathematics</i></a>. Simon and Schuster. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-671-62818-6" title="Посебно:Штампани извори/0-671-62818-6">0-671-62818-6</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=E.+T.&rft.aulast=Bell&rft.btitle=Men+of+Mathematics&rft.date=1986-10-15&rft.genre=book&rft.isbn=0-671-62818-6&rft.pub=Simon+and+Schuster&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fmenofmathematics0000bell&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33; margin-left:0.3em">CS1 одржавање: Формат датума (<a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:CS1_%D0%BE%D0%B4%D1%80%D0%B6%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5:_%D0%A4%D0%BE%D1%80%D0%BC%D0%B0%D1%82_%D0%B4%D0%B0%D1%82%D1%83%D0%BC%D0%B0" title="Категорија:CS1 одржавање: Формат датума">веза</a>)</span>)</li> <li>Herstein, I.N., <i>Topics in Algebra</i>, Wiley; 2 edition (June 20, 1975), <cite class="citation book">Herstein, I. N. (16. 1. 1991). <i>Topics in Algebra</i>. John Wiley & Sons. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-471-01090-1" title="Посебно:Штампани извори/0-471-01090-1">0-471-01090-1</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.aufirst=I.+N.&rft.aulast=Herstein&rft.btitle=Topics+in+Algebra&rft.date=1991-01-16&rft.genre=book&rft.isbn=0-471-01090-1&rft.pub=John+Wiley+%26+Sons&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span><span class="citation-comment" style="display:none; color:#33aa33; margin-left:0.3em">CS1 одржавање: Формат датума (<a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:CS1_%D0%BE%D0%B4%D1%80%D0%B6%D0%B0%D0%B2%D0%B0%D1%9A%D0%B5:_%D0%A4%D0%BE%D1%80%D0%BC%D0%B0%D1%82_%D0%B4%D0%B0%D1%82%D1%83%D0%BC%D0%B0" title="Категорија:CS1 одржавање: Формат датума">веза</a>)</span>.</li> <li><a href="/w/index.php?title=Saunders_Mac_Lane&action=edit&redlink=1" class="new" title="Saunders Mac Lane (страница не постоји)">Mac Lane, Saunders</a>, and <a href="/w/index.php?title=Garrett_Birkhoff&action=edit&redlink=1" class="new" title="Garrett Birkhoff (страница не постоји)">Garrett Birkhoff</a>; <i>Algebra</i>, American Mathematical Society; 3rd edition (1999). <cite class="citation book">Lane, Saunders Mac; Birkhoff, Garrett (1999). <i>Algebra</i>. American Mathematical Soc. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/0-8218-1646-2" title="Посебно:Штампани извори/0-8218-1646-2">0-8218-1646-2</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.au=Birkhoff%2C+Garrett&rft.aufirst=Saunders+Mac&rft.aulast=Lane&rft.btitle=Algebra&rft.date=1999&rft.genre=book&rft.isbn=0-8218-1646-2&rft.pub=American+Mathematical+Soc.&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>.</li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Спољашње_везе"><span id=".D0.A1.D0.BF.D0.BE.D1.99.D0.B0.D1.88.D1.9A.D0.B5_.D0.B2.D0.B5.D0.B7.D0.B5"></span>Спољашње везе</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&veaction=edit&section=7" title="Уредите одељак „Спољашње везе”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98&action=edit&section=7" title="Уреди извор одељка: Спољашње везе"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25554621"><div class="side-box side-box-right plainlinks sistersitebox"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25554968"> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist"><span style="font-weight:bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Integers" class="extiw" title="commons:Category:Integers">Цео број</a></span> на <a href="https://commons.wikimedia.org/wiki/%D0%93%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B0" class="extiw" title="commons:Главна страна">Викимедијиној остави</a>.</div></div> </div><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25554621"><div class="side-box side-box-right plainlinks sistersitebox"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25554968"> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/WiktionarySr_-_DP_Derivative.svg/33px-WiktionarySr_-_DP_Derivative.svg.png" decoding="async" width="33" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/WiktionarySr_-_DP_Derivative.svg/49px-WiktionarySr_-_DP_Derivative.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a1/WiktionarySr_-_DP_Derivative.svg/66px-WiktionarySr_-_DP_Derivative.svg.png 2x" data-file-width="512" data-file-height="620" /></span></span></div> <div class="side-box-text plainlist">Потражите <i><b><a href="https://sr.wiktionary.org/wiki/Special:Search/%D0%A6%D0%B5%D0%BE_%D0%B1%D1%80%D0%BE%D1%98" class="extiw" title="wikt:Special:Search/Цео број">Цео број</a></b></i> у Викиречнику, слободном речнику.</div></div> </div> <ul><li><cite class="citation book">Hazewinkel Michiel, ур. (2001). „Integer”. <a rel="nofollow" class="external text" href="http://eom.springer.de/p/i051290.htm"><i>Encyclopaedia of Mathematics</i></a>. Springer. <a href="/wiki/Me%C4%91unarodni_standardni_broj_knjige" title="Međunarodni standardni broj knjige">ISBN</a> <a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A8%D1%82%D0%B0%D0%BC%D0%BF%D0%B0%D0%BD%D0%B8_%D0%B8%D0%B7%D0%B2%D0%BE%D1%80%D0%B8/978-1556080104" title="Посебно:Штампани извори/978-1556080104">978-1556080104</a>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=Integer&rft.btitle=Encyclopaedia+of+Mathematics&rft.date=2001&rft.genre=bookitem&rft.pub=Springer&rft_id=http%3A%2F%2Feom.springer.de%2Fp%2Fi051290.htm&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></li> <li><a rel="nofollow" class="external text" href="http://www.positiveintegers.org">The Positive Integers – divisor tables and numeral representation tools</a></li> <li><a href="//oeis.org/" class="extiw" title="oeis:">On-Line Encyclopedia of Integer Sequences</a> cf <a href="/w/index.php?title=OEIS&action=edit&redlink=1" class="new" title="OEIS (страница не постоји)">OEIS</a></li> <li><span class="citation mathworld" id="Reference-Mathworld-Цео_број"><cite class="citation web">Weisstein, Eric W. <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Integer.html">„Цео број”</a>. <i><a href="/w/index.php?title=MathWorld&action=edit&redlink=1" class="new" title="MathWorld (страница не постоји)">MathWorld</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fsr.wikipedia.org%3A%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.atitle=%D0%A6%D0%B5%D0%BE+%D0%B1%D1%80%D0%BE%D1%98&rft.au=Weisstein%2C+Eric+W.&rft.genre=unknown&rft.jtitle=MathWorld&rft_id=http%3A%2F%2Fmathworld.wolfram.com%2FInteger.html&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span></li></ul> <div class="navbox-styles"><style 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href="/w/index.php?title=%D0%A7%D0%B5%D1%82%D0%B2%D0%BE%D1%80%D0%BE%D1%81%D1%82%D1%80%D1%83%D0%BA%D0%B0-%D0%BF%D1%80%D0%B5%D1%86%D0%B8%D0%B7%D0%BD%D0%BE%D1%81%D1%82_%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B0_%D1%81%D0%B0_%D0%B4%D0%B5%D1%86%D0%B8%D0%BC%D0%B0%D0%BB%D0%BD%D0%BE%D0%BC_%D1%82%D0%B0%D1%87%D0%BA%D0%BE%D0%BC&action=edit&redlink=1" class="new" title="Четворострука-прецизност формата са децималном тачком (страница не постоји)">Четворострука прецизност</a></li> <li><a href="/w/index.php?title=%D0%88%D0%B5%D0%B4%D0%BD%D0%BE%D1%81%D1%82%D0%B0%D0%B2%D0%BD%D0%B0-%D0%BF%D1%80%D0%B5%D1%86%D0%B8%D0%B7%D0%BD%D0%BE%D1%81%D1%82_%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B0_%D1%81%D0%B0_%D0%B4%D0%B5%D1%86%D0%B8%D0%BC%D0%B0%D0%BB%D0%BD%D0%BE%D0%BC_%D1%82%D0%B0%D1%87%D0%BA%D0%BE%D0%BC&action=edit&redlink=1" class="new" title="Једноставна-прецизност формата са децималном тачком (страница не постоји)">Једноставна прецизност</a></li></ul></li> <li><a class="mw-selflink selflink">Цео број</a> <ul><li><a href="/w/index.php?title=%D0%A1%D0%B8%D0%B3%D0%BD%D0%B5%D0%B4%D0%BD%D0%B5%D1%81&action=edit&redlink=1" class="new" title="Сигнеднес (страница не постоји)">сигнеднес</a></li></ul></li> <li><a href="/w/index.php?title=%D0%90%D1%80%D0%B8%D1%82%D0%BC%D0%B5%D1%82%D0%B8%D1%87%D0%BA%D0%B8_%D0%B8%D0%BD%D1%82%D0%B5%D1%80%D0%B2%D0%B0%D0%BB&action=edit&redlink=1" class="new" title="Аритметички интервал (страница не постоји)">Интервал</a></li> <li><a href="/w/index.php?title=%D0%A0%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D1%82%D0%B8%D0%BF_%D0%BF%D0%BE%D0%B4%D0%B0%D1%82%D0%B0%D0%BA%D0%B0&action=edit&redlink=1" class="new" title="Рационални тип података (страница не постоји)">Рационал</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/w/index.php?title=%D0%9E%D0%B1%D0%B8%D1%87%D0%B0%D0%BD_%D1%82%D0%B5%D0%BA%D1%81%D1%82&action=edit&redlink=1" class="new" title="Обичан текст (страница не постоји)">Текст</a></th><td 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href="/w/index.php?title=%D0%98%D0%BD%D1%81%D1%82%D1%83%D0%B8%D1%81%D1%82%D0%B8%D1%87%D0%BD%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B0&action=edit&redlink=1" class="new" title="Инстуистична теорија куцања (страница не постоји)">Једнакост</a></li> <li><a href="/w/index.php?title=%D0%98%D0%BD%D0%B4%D1%83%D0%BA%D1%82%D0%B8%D0%B2%D0%BD%D0%BE_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B5&action=edit&redlink=1" class="new" title="Индуктивно куцање (страница не постоји)">Индуктивност</a></li> <li><a href="/wiki/%D0%9B%D0%B8%D1%81%D1%82%D0%B0_(%D1%81%D1%82%D1%80%D1%83%D0%BA%D1%82%D1%83%D1%80%D0%B0_%D0%BF%D0%BE%D0%B4%D0%B0%D1%82%D0%B0%D0%BA%D0%B0)" title="Листа (структура података)">Листа</a></li> <li><a href="/wiki/%D0%9E%D0%B1%D1%98%D0%B5%D0%BA%D1%82_(%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" class="mw-redirect" title="Објект (информатика)">Објект</a> <ul><li><a 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постоји)">Изузетак</a></li> <li><a href="/w/index.php?title=%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%BE_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B5&action=edit&redlink=1" class="new" title="Функционо куцање (страница не постоји)">Функционо куцање</a></li> <li><a href="/w/index.php?title=%D0%9D%D0%B5%D0%BF%D1%80%D0%BE%D0%B7%D0%B8%D1%80%D0%B0%D0%BD_%D1%82%D0%B8%D0%BF_%D0%BF%D0%BE%D0%B4%D0%B0%D1%82%D0%B0%D0%BA%D0%B0&action=edit&redlink=1" class="new" title="Непрозиран тип података (страница не постоји)">Непрозиран тип података</a></li> <li><a href="/w/index.php?title=%D0%A0%D0%B5%D0%BA%D1%83%D1%80%D0%B7%D0%B8%D0%B2%D0%BD%D0%B8_%D1%82%D0%B8%D0%BF_%D0%BF%D0%BE%D0%B4%D0%B0%D1%82%D0%B0%D0%BA%D0%B0&action=edit&redlink=1" class="new" title="Рекурзивни тип података (страница не постоји)">Рекурзивни тип података</a></li> <li><a href="/wiki/%D0%A1%D0%B5%D0%BC%D0%B0%D1%84%D0%BE%D1%80_(%D1%80%D0%B0%D1%87%D1%83%D0%BD%D0%B0%D1%80%D1%81%D1%82%D0%B2%D0%BE)" title="Семафор (рачунарство)">Семафор</a></li> <li><a href="/wiki/%D0%A2%D0%BE%D0%BA_(%D1%80%D0%B0%D1%87%D1%83%D0%BD%D0%B0%D1%80%D1%81%D1%82%D0%B2%D0%BE)" title="Ток (рачунарство)">Ток</a></li> <li><a href="/w/index.php?title=%D0%92%D1%80%D1%85%D0%BE%D0%B2%D0%BD%D0%BE_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B5&action=edit&redlink=1" class="new" title="Врховно куцање (страница не постоји)">Врховно куцање</a></li> <li><a href="/w/index.php?title=%D0%9A%D0%BB%D0%B0%D1%81%D0%B5_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B0&action=edit&redlink=1" class="new" title="Класе куцања (страница не постоји)">Класе куцања</a></li> <li><a href="/w/index.php?title=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%86%D0%B0_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B0&action=edit&redlink=1" class="new" title="Јединица куцања (страница не постоји)">Јединица куцања</a></li> <li><a href="/w/index.php?title=%D0%9F%D1%80%D0%B0%D0%B7%D0%BD%D0%BE_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B5&action=edit&redlink=1" class="new" title="Празно куцање (страница не 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<li><a href="/w/index.php?title=%D0%92%D1%80%D1%81%D1%82%D0%B0(%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%BA%D1%83%D1%86%D0%B0%D1%9A%D0%B0)&action=edit&redlink=1" class="new" title="Врста(теорија куцања) (страница не постоји)">Врста</a> <ul><li><a href="/w/index.php?title=%D0%9C%D0%B5%D1%82%D0%B0_%D0%BA%D0%BB%D0%B0%D1%81%D0%B0&action=edit&redlink=1" class="new" title="Мета класа (страница не постоји)">мета класа</a></li></ul></li> <li><a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%BC%D0%B5%D1%82%D0%B0%D1%80%D1%81%D0%BA%D0%B8_%D0%BF%D0%BE%D0%BB%D0%B8%D0%BC%D0%BE%D1%80%D1%84%D0%B8%D0%B7%D0%B0%D0%BC&action=edit&redlink=1" class="new" title="Параметарски полиморфизам (страница не постоји)">Параметарски полиморфизам</a></li> <li><a href="/wiki/%D0%9F%D1%80%D0%B8%D0%BC%D0%B8%D1%82%D0%B8%D0%B2%D0%BD%D0%B8_%D1%82%D0%B8%D0%BF_%D0%BF%D0%BE%D0%B4%D0%B0%D1%82%D0%B0%D0%BA%D0%B0" title="Примитивни тип података">Примитивни тип података</a></li> <li><a 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colspan="3"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r25469611"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r24365379"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-прикажи"><a href="/wiki/%D0%A8%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD:%D0%A0%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%B1%D1%80%D0%BE%D1%98%D0%B5%D0%B2%D0%B8" title="Шаблон:Рационални бројеви"><abbr title="Погледајте шаблон" style=";;background:none transparent;color:inherit;border:none;box-shadow:none;padding:0;">п</abbr></a></li><li class="nv-разговор"><a href="/w/index.php?title=%D0%A0%D0%B0%D0%B7%D0%B3%D0%BE%D0%B2%D0%BE%D1%80_%D0%BE_%D1%88%D0%B0%D0%B1%D0%BB%D0%BE%D0%BD%D1%83:%D0%A0%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%B1%D1%80%D0%BE%D1%98%D0%B5%D0%B2%D0%B8&action=edit&redlink=1" class="new" title="Разговор о шаблону:Рационални бројеви (страница не постоји)"><abbr title="Разговарајте о шаблону" style=";;background:none 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