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Valor absolut - Viquipèdia, l'enciclopèdia lliure

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[n]" accesskey="n"><span>Discussió per aquest IP</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></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="Lloc"> <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="Contingut" 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">Contingut</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">amaga</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">Inici</div> </a> </li> <li id="toc-Referències" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referències"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Referències</span> </div> </a> <ul id="toc-Referències-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="Contingut" 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="Commuta la taula de continguts." > <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">Commuta la taula de continguts.</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">Valor absolut</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="Vés a un article en una altra llengua. Disponible en 76 llengües" > <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-76" 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">76 llengües</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/Absolute_waarde" title="Absolute waarde - afrikaans" lang="af" hreflang="af" data-title="Absolute waarde" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%95%E1%8C%A5%E1%88%A8_%E1%8A%A5%E1%88%B4%E1%89%B5" title="ንጥረ እሴት - amhàric" lang="am" hreflang="am" data-title="ንጥረ እሴት" data-language-autonym="አማርኛ" data-language-local-name="amhàric" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D9%8A%D9%85%D8%A9_%D9%85%D8%B7%D9%84%D9%82%D8%A9" title="قيمة مطلقة - àrab" lang="ar" hreflang="ar" data-title="قيمة مطلقة" data-language-autonym="العربية" data-language-local-name="àrab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/M%C3%BCtl%C9%99q_qiym%C9%99t" title="Mütləq qiymət - azerbaidjanès" lang="az" hreflang="az" data-title="Mütləq qiymət" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidjanès" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B1%D1%81%D0%B0%D0%BB%D1%8E%D1%82%D0%BD%D0%B0%D1%8F_%D0%B2%D0%B5%D0%BB%D1%96%D1%87%D1%8B%D0%BD%D1%8F" title="Абсалютная велічыня - belarús" lang="be" hreflang="be" data-title="Абсалютная велічыня" data-language-autonym="Беларуская" data-language-local-name="belarús" 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%90%D0%B1%D1%81%D0%B0%D0%BB%D1%8E%D1%82%D0%BD%D0%B0%D1%8F_%D0%B2%D0%B5%D0%BB%D1%96%D1%87%D1%8B%D0%BD%D1%8F" title="Абсалютная велічыня - Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Абсалютная велічыня" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%90%D0%B1%D1%81%D0%BE%D0%BB%D1%8E%D1%82%D0%BD%D0%B0_%D1%81%D1%82%D0%BE%D0%B9%D0%BD%D0%BE%D1%81%D1%82" title="Абсолютна стойност - búlgar" lang="bg" hreflang="bg" data-title="Абсолютна стойност" data-language-autonym="Български" data-language-local-name="búlgar" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A6%B0%E0%A6%AE_%E0%A6%AE%E0%A6%BE%E0%A6%A8" title="পরম মান - bengalí" lang="bn" hreflang="bn" data-title="পরম মান" data-language-autonym="বাংলা" data-language-local-name="bengalí" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%9A%E0%BD%B4%E0%BD%82%E0%BD%A6%E0%BC%8B%E0%BD%90%E0%BD%B4%E0%BD%96%E0%BC%8B%E0%BD%A2%E0%BD%B2%E0%BD%93%E0%BC%8B%E0%BD%90%E0%BD%84%E0%BC%8B%E0%BC%8D" title="ཚུགས་ཐུབ་རིན་ཐང་། - tibetà" lang="bo" hreflang="bo" data-title="ཚུགས་ཐུབ་རིན་ཐང་།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetà" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Apsolutna_vrijednost" title="Apsolutna vrijednost - bosnià" lang="bs" hreflang="bs" data-title="Apsolutna vrijednost" data-language-autonym="Bosanski" data-language-local-name="bosnià" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%86%D8%B1%D8%AE%DB%8C_%DA%95%DB%95%DA%BE%D8%A7" title="نرخی ڕەھا - kurd central" lang="ckb" hreflang="ckb" data-title="نرخی ڕەھا" data-language-autonym="کوردی" data-language-local-name="kurd central" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Absolutn%C3%AD_hodnota" title="Absolutní hodnota - txec" lang="cs" hreflang="cs" data-title="Absolutní hodnota" data-language-autonym="Čeština" data-language-local-name="txec" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%90%D0%B1%D1%81%D0%BE%D0%BB%D1%8E%D1%82%D0%BB%C4%83_%D0%BA%D0%B0%D0%BF" title="Абсолютлă кап - txuvaix" lang="cv" hreflang="cv" data-title="Абсолютлă кап" data-language-autonym="Чӑвашла" data-language-local-name="txuvaix" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Gwerth_absoliwt" title="Gwerth absoliwt - gal·lès" lang="cy" hreflang="cy" data-title="Gwerth absoliwt" data-language-autonym="Cymraeg" data-language-local-name="gal·lès" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Numerisk_v%C3%A6rdi" title="Numerisk værdi - danès" lang="da" hreflang="da" data-title="Numerisk værdi" data-language-autonym="Dansk" data-language-local-name="danès" 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/Betragsfunktion" title="Betragsfunktion - alemany" lang="de" hreflang="de" data-title="Betragsfunktion" data-language-autonym="Deutsch" data-language-local-name="alemany" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%80%CF%8C%CE%BB%CF%85%CF%84%CE%B7_%CF%84%CE%B9%CE%BC%CE%AE" title="Απόλυτη τιμή - grec" lang="el" hreflang="el" data-title="Απόλυτη τιμή" data-language-autonym="Ελληνικά" data-language-local-name="grec" 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/Absolute_value" title="Absolute value - anglès" lang="en" hreflang="en" data-title="Absolute value" data-language-autonym="English" data-language-local-name="anglès" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Absoluta_valoro" title="Absoluta valoro - esperanto" lang="eo" hreflang="eo" data-title="Absoluta valoro" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Valor_absoluto" title="Valor absoluto - espanyol" lang="es" hreflang="es" data-title="Valor absoluto" data-language-autonym="Español" data-language-local-name="espanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Absoluutv%C3%A4%C3%A4rtus" title="Absoluutväärtus - estonià" lang="et" hreflang="et" data-title="Absoluutväärtus" data-language-autonym="Eesti" data-language-local-name="estonià" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Balio_absolutu" title="Balio absolutu - basc" lang="eu" hreflang="eu" data-title="Balio absolutu" data-language-autonym="Euskara" data-language-local-name="basc" 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/%D9%82%D8%AF%D8%B1_%D9%85%D8%B7%D9%84%D9%82_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="قدر مطلق (ریاضی) - persa" lang="fa" hreflang="fa" data-title="قدر مطلق (ریاضی)" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Itseisarvo" title="Itseisarvo - finès" lang="fi" hreflang="fi" data-title="Itseisarvo" data-language-autonym="Suomi" data-language-local-name="finès" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Valeur_absolue" title="Valeur absolue - francès" lang="fr" hreflang="fr" data-title="Valeur absolue" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Val%C3%B4r_assol%C3%BBt" title="Valôr assolût - friülà" lang="fur" hreflang="fur" data-title="Valôr assolût" data-language-autonym="Furlan" data-language-local-name="friülà" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Valor_absoluto" title="Valor absoluto - gallec" lang="gl" hreflang="gl" data-title="Valor absoluto" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A2%D7%A8%D7%9A_%D7%9E%D7%95%D7%97%D7%9C%D7%98" title="ערך מוחלט - hebreu" lang="he" hreflang="he" data-title="ערך מוחלט" data-language-autonym="עברית" data-language-local-name="hebreu" 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%A8%E0%A4%BF%E0%A4%B0%E0%A4%AA%E0%A5%87%E0%A4%95%E0%A5%8D%E0%A4%B7_%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="निरपेक्ष मान - hindi" lang="hi" hreflang="hi" data-title="निरपेक्ष मान" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Apsolutna_vrijednost_broja" title="Apsolutna vrijednost broja - croat" lang="hr" hreflang="hr" data-title="Apsolutna vrijednost broja" data-language-autonym="Hrvatski" data-language-local-name="croat" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Abszol%C3%BAt%C3%A9rt%C3%A9k-f%C3%BCggv%C3%A9ny" title="Abszolútérték-függvény - hongarès" lang="hu" hreflang="hu" data-title="Abszolútérték-függvény" data-language-autonym="Magyar" data-language-local-name="hongarès" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%A1%D6%81%D5%A1%D6%80%D5%B1%D5%A1%D5%AF_%D5%A1%D6%80%D5%AA%D5%A5%D6%84" title="Բացարձակ արժեք - armeni" lang="hy" hreflang="hy" data-title="Բացարձակ արժեք" data-language-autonym="Հայերեն" data-language-local-name="armeni" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Valor_absolute" title="Valor absolute - interlingua" lang="ia" hreflang="ia" data-title="Valor absolute" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Nilai_absolut" title="Nilai absolut - indonesi" lang="id" hreflang="id" data-title="Nilai absolut" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesi" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Algildi" title="Algildi - islandès" lang="is" hreflang="is" data-title="Algildi" data-language-autonym="Íslenska" data-language-local-name="islandès" 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/Valore_assoluto" title="Valore assoluto - italià" lang="it" hreflang="it" data-title="Valore assoluto" data-language-autonym="Italiano" data-language-local-name="italià" 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/%E7%B5%B6%E5%AF%BE%E5%80%A4" title="絶対値 - japonès" lang="ja" hreflang="ja" data-title="絶対値" data-language-autonym="日本語" data-language-local-name="japonès" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%90%E1%83%91%E1%83%A1%E1%83%9D%E1%83%9A%E1%83%A3%E1%83%A2%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A1%E1%83%98%E1%83%93%E1%83%98%E1%83%93%E1%83%94" title="აბსოლუტური სიდიდე - georgià" lang="ka" hreflang="ka" data-title="აბსოლუტური სიდიდე" data-language-autonym="ქართული" data-language-local-name="georgià" 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%90%D0%B1%D1%81%D0%BE%D0%BB%D1%8E%D1%82%D1%82%D1%96_%D1%88%D0%B0%D0%BC%D0%B0" title="Абсолютті шама - kazakh" lang="kk" hreflang="kk" data-title="Абсолютті шама" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%8F%E1%9E%98%E1%9F%92%E1%9E%9B%E1%9F%83%E1%9E%8A%E1%9E%B6%E1%9E%85%E1%9F%8B%E1%9E%81%E1%9E%B6%E1%9E%8F" title="តម្លៃដាច់ខាត - khmer" lang="km" hreflang="km" data-title="តម្លៃដាច់ខាត" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%88%EB%8C%93%EA%B0%92" title="절댓값 - coreà" lang="ko" hreflang="ko" data-title="절댓값" data-language-autonym="한국어" data-language-local-name="coreà" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D0%B1%D1%81%D0%BE%D0%BB%D1%8E%D1%82%D1%82%D1%83%D0%BA_%D1%87%D0%BE%D2%A3%D0%B4%D1%83%D0%BA" title="Абсолюттук чоңдук - kirguís" lang="ky" hreflang="ky" data-title="Абсолюттук чоңдук" data-language-autonym="Кыргызча" data-language-local-name="kirguís" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Magnitudo_absoluta" title="Magnitudo absoluta - llatí" lang="la" hreflang="la" data-title="Magnitudo absoluta" data-language-autonym="Latina" data-language-local-name="llatí" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Valua_asoluta" title="Valua asoluta - Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Valua asoluta" 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-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Modulis" title="Modulis - lituà" lang="lt" hreflang="lt" data-title="Modulis" data-language-autonym="Lietuvių" data-language-local-name="lituà" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Absol%C5%ABt%C4%81_v%C4%93rt%C4%ABba" title="Absolūtā vērtība - letó" lang="lv" hreflang="lv" data-title="Absolūtā vērtība" data-language-autonym="Latviešu" data-language-local-name="letó" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%90%D0%BF%D1%81%D0%BE%D0%BB%D1%83%D1%82%D0%BD%D0%B0_%D0%B2%D1%80%D0%B5%D0%B4%D0%BD%D0%BE%D1%81%D1%82" title="Апсолутна вредност - macedoni" lang="mk" hreflang="mk" data-title="Апсолутна вредност" data-language-autonym="Македонски" data-language-local-name="macedoni" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Nilai_mutlak" title="Nilai mutlak - malai" lang="ms" hreflang="ms" data-title="Nilai mutlak" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%90%E1%80%99%E1%80%BA%E1%80%B8%E1%80%95%E1%80%9C%E1%80%AD%E1%80%90%E1%80%BA:Absolute_value" title="တမ်းပလိတ်:Absolute value - birmà" lang="my" hreflang="my" data-title="တမ်းပလိတ်:Absolute value" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmà" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Absolute_waarde" title="Absolute waarde - neerlandès" lang="nl" hreflang="nl" data-title="Absolute waarde" data-language-autonym="Nederlands" data-language-local-name="neerlandès" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Absoluttverdi" title="Absoluttverdi - noruec nynorsk" lang="nn" hreflang="nn" data-title="Absoluttverdi" data-language-autonym="Norsk nynorsk" data-language-local-name="noruec nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Absoluttverdi" title="Absoluttverdi - noruec bokmål" lang="nb" hreflang="nb" data-title="Absoluttverdi" data-language-autonym="Norsk bokmål" data-language-local-name="noruec bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Warto%C5%9B%C4%87_bezwzgl%C4%99dna" title="Wartość bezwzględna - polonès" lang="pl" hreflang="pl" data-title="Wartość bezwzględna" data-language-autonym="Polski" data-language-local-name="polonès" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Valor_assol%C3%B9" title="Valor assolù - piemontès" lang="pms" hreflang="pms" data-title="Valor assolù" data-language-autonym="Piemontèis" data-language-local-name="piemontès" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Fun%C3%A7%C3%A3o_modular" title="Função modular - portuguès" lang="pt" hreflang="pt" data-title="Função modular" data-language-autonym="Português" data-language-local-name="portuguès" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Modul" title="Modul - romanès" lang="ro" hreflang="ro" data-title="Modul" data-language-autonym="Română" data-language-local-name="romanès" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%90%D0%B1%D1%81%D0%BE%D0%BB%D1%8E%D1%82%D0%BD%D0%B0%D1%8F_%D0%B2%D0%B5%D0%BB%D0%B8%D1%87%D0%B8%D0%BD%D0%B0" title="Абсолютная величина - rus" lang="ru" hreflang="ru" data-title="Абсолютная величина" data-language-autonym="Русский" data-language-local-name="rus" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Apsolutna_vrijednost" title="Apsolutna vrijednost - serbocroat" lang="sh" hreflang="sh" data-title="Apsolutna vrijednost" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroat" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Absolute_value" title="Absolute value - Simple English" lang="en-simple" hreflang="en-simple" data-title="Absolute value" 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/Absol%C3%BAtna_hodnota_(re%C3%A1lne_a_komplexn%C3%A9_%C4%8D%C3%ADslo)" title="Absolútna hodnota (reálne a komplexné číslo) - eslovac" lang="sk" hreflang="sk" data-title="Absolútna hodnota (reálne a komplexné číslo)" data-language-autonym="Slovenčina" data-language-local-name="eslovac" 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/Absolutna_vrednost" title="Absolutna vrednost - eslovè" lang="sl" hreflang="sl" data-title="Absolutna vrednost" data-language-autonym="Slovenščina" data-language-local-name="eslovè" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Qiime_sugan" title="Qiime sugan - somali" lang="so" hreflang="so" data-title="Qiime sugan" data-language-autonym="Soomaaliga" data-language-local-name="somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Vlera_absolute" title="Vlera absolute - albanès" lang="sq" hreflang="sq" data-title="Vlera absolute" data-language-autonym="Shqip" data-language-local-name="albanès" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%90%D0%BF%D1%81%D0%BE%D0%BB%D1%83%D1%82%D0%BD%D0%B0_%D0%B2%D1%80%D0%B5%D0%B4%D0%BD%D0%BE%D1%81%D1%82" title="Апсолутна вредност - serbi" lang="sr" hreflang="sr" data-title="Апсолутна вредност" data-language-autonym="Српски / srpski" data-language-local-name="serbi" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Absolutbelopp" title="Absolutbelopp - suec" lang="sv" hreflang="sv" data-title="Absolutbelopp" data-language-autonym="Svenska" data-language-local-name="suec" 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%A4%E0%AE%A9%E0%AE%BF_%E0%AE%AE%E0%AE%A4%E0%AE%BF%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AF%81" title="தனி மதிப்பு - tàmil" lang="ta" hreflang="ta" data-title="தனி மதிப்பு" data-language-autonym="தமிழ்" data-language-local-name="tàmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B9%88%E0%B8%B2%E0%B8%AA%E0%B8%B1%E0%B8%A1%E0%B8%9A%E0%B8%B9%E0%B8%A3%E0%B8%93%E0%B9%8C" title="ค่าสัมบูรณ์ - tai" lang="th" hreflang="th" data-title="ค่าสัมบูรณ์" data-language-autonym="ไทย" data-language-local-name="tai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Absol%C3%BDut_ululyk" title="Absolýut ululyk - turcman" lang="tk" hreflang="tk" data-title="Absolýut ululyk" data-language-autonym="Türkmençe" data-language-local-name="turcman" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Ganap_na_halaga" title="Ganap na halaga - tagal" lang="tl" hreflang="tl" data-title="Ganap na halaga" data-language-autonym="Tagalog" data-language-local-name="tagal" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Mutlak_de%C4%9Fer" title="Mutlak değer - turc" lang="tr" hreflang="tr" data-title="Mutlak değer" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D1%83%D0%BB%D1%8C_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Модуль (математика) - ucraïnès" lang="uk" hreflang="uk" data-title="Модуль (математика)" data-language-autonym="Українська" data-language-local-name="ucraïnès" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Gi%C3%A1_tr%E1%BB%8B_tuy%E1%BB%87t_%C4%91%E1%BB%91i" title="Giá trị tuyệt đối - vietnamita" lang="vi" hreflang="vi" data-title="Giá trị tuyệt đối" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E7%BB%9D%E5%AF%B9%E5%80%BC" title="绝对值 - xinès wu" lang="wuu" hreflang="wuu" data-title="绝对值" data-language-autonym="吴语" data-language-local-name="xinès wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%BB%9D%E5%AF%B9%E5%80%BC" title="绝对值 - xinès" lang="zh" hreflang="zh" data-title="绝对值" data-language-autonym="中文" data-language-local-name="xinès" 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/%E7%B5%95%E5%B0%8D%E5%80%BC" title="絕對值 - xinès clàssic" lang="lzh" hreflang="lzh" data-title="絕對值" data-language-autonym="文言" data-language-local-name="xinès clàssic" 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/%E7%B5%95%E5%B0%8D%E5%80%BC" title="絕對值 - cantonès" lang="yue" hreflang="yue" data-title="絕對值" data-language-autonym="粵語" data-language-local-name="cantonès" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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</nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">De la Viquipèdia, l&#039;enciclopèdia lliure</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ca" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxer:Absolute_value.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Absolute_value.svg/220px-Absolute_value.svg.png" decoding="async" width="220" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Absolute_value.svg/330px-Absolute_value.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Absolute_value.svg/440px-Absolute_value.svg.png 2x" data-file-width="600" data-file-height="400" /></a><figcaption>Valor absolut de la funció f(x) = x</figcaption></figure> <p>En <a href="/wiki/Matem%C3%A0tiques" title="Matemàtiques">matemàtiques</a>, donat un <a href="/wiki/Nombre_real" title="Nombre real">nombre real</a> <i>x</i> s'anomena <b>valor absolut</b> de <i>x</i> i es denota per <span style="white-space:nowrap;">|<i>x</i>|</span> a la distància d'aquest nombre a l'origen de coordenades.<sup id="cite_ref-FOOTNOTECorbalán_Yuste200366_1-0" class="reference"><a href="#cite_note-FOOTNOTECorbalán_Yuste200366-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> En altres paraules, és el mateix nombre prescindint del signe algebraic (+ o -).<sup id="cite_ref-gamma2_2-0" class="reference"><a href="#cite_note-gamma2-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> Atès que es defineix com una distància el seu valor sempre és estrictament positiu llevat del zero, que te valor absolut zero. </p><p>Aquesta funció es pot <a href="/wiki/Funci%C3%B3_definida_a_trossos" title="Funció definida a trossos">definir a trossos</a> com segueix: </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 |x|=\left\{{\begin{matrix}-x&amp;\mathrm {si} &amp;x&lt;0\\x&amp;\mathrm {si} &amp;x\geq 0\end{matrix}}\right.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>=</mo> <mrow> <mo>{</mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mo>&#x2212;<!-- − --></mo> <mi>x</mi> </mtd> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> </mrow> </mtd> <mtd> <mi>x</mi> <mo>&lt;</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">i</mi> </mrow> </mtd> <mtd> <mi>x</mi> <mo>&#x2265;<!-- ≥ --></mo> <mn>0</mn> </mtd> </mtr> </mtable> </mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle |x|=\left\{{\begin{matrix}-x&amp;\mathrm {si} &amp;x&lt;0\\x&amp;\mathrm {si} &amp;x\geq 0\end{matrix}}\right.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/71722dcc3316bf77e6c3cf0cd6fc678493265a68" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:23.153ex; height:6.176ex;" alt="{\displaystyle |x|=\left\{{\begin{matrix}-x&amp;\mathrm {si} &amp;x&lt;0\\x&amp;\mathrm {si} &amp;x\geq 0\end{matrix}}\right.}"></span></dd></dl> <p>Molts <a href="/wiki/Llenguatges_de_programaci%C3%B3" class="mw-redirect" title="Llenguatges de programació">llenguatges de programació</a> contenen la funció ABS() definida com </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {ABS} (x)=|x|=+{\sqrt {x^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ABS</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>=</mo> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {ABS} (x)=|x|=+{\sqrt {x^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3884fda6b13eebd51c7c74cc6608aa81e32e65c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.156ex; height:3.509ex;" alt="{\displaystyle \operatorname {ABS} (x)=|x|=+{\sqrt {x^{2}}}}"></span> </p><p>Aquesta aplicació converteix tot nombre real d'entrada en positiu i per tant en calcula el valor absolut. </p><p>Per a nombres no-reals (<a href="/wiki/Nombre_complex" title="Nombre complex">complexos</a>, espais vectorials de dimensió superior a 1) el valor absolut s'anomena <a href="/wiki/M%C3%B2dul_d%27un_nombre_complex" title="Mòdul d&#39;un nombre complex">mòdul</a>. El concepte "mòdul d'un <a href="/wiki/Vector_(Matem%C3%A0tiques)" class="mw-redirect" title="Vector (Matemàtiques)">vector</a>" és el mateix, és la longitud del vector o distància entre el seu origen i el seu extrem. </p> <div class="mw-heading mw-heading2"><h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Valor_absolut&amp;action=edit&amp;section=1" title="Modifica la secció: Referències"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist &#123;&#123;#if: &#124; references-column-count references-column-count-&#123;&#123;&#123;col&#125;&#125;&#125;" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-FOOTNOTECorbalán_Yuste200366-1"><span class="mw-cite-backlink"><a href="#cite_ref-FOOTNOTECorbalán_Yuste200366_1-0">↑</a></span> <span class="reference-text"><a href="#CITEREFCorbalán_Yuste2003">Corbalán Yuste, 2003</a>, p.&#160;66.</span> </li> <li id="cite_note-gamma2-2"><span class="mw-cite-backlink"><a href="#cite_ref-gamma2_2-0">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFCorbalán_Yuste2003"><span style="font-variant: small-caps;">Corbalán Yuste</span>, F. et al.. <i>Gamma 2&#160;: matemàtiques&#160;: Educació Secundària, segon curs</i>. 1a..&#32; Barcelona:&#32;Vicens Vives,&#32;2003,&#32;p.&#160;65. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/84-316-6978-2" title="Especial:Fonts bibliogràfiques/84-316-6978-2">ISBN 84-316-6978-2</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Gamma+2+%3A+matem%C3%A0tiques+%3A+Educaci%C3%B3+Secund%C3%A0ria%2C+segon+curs&amp;rft.aulast=Corbal%C3%A1n+Yuste&amp;rft.aufirst=F.+et+al.&amp;rft.date=2003&amp;rft.edition=1a.&amp;rft.pub=Vicens+Vives&amp;rft.place=Barcelona&amp;rft.pages=65&amp;rft.isbn=84-316-6978-2"><span style="display: none;">&#160;</span></span></span> </li> </ol></div></div> <table cellpadding="2" cellspacing="0" align="right" style="margin:5px; padding: 5px; border:1px solid #aaaaaa; text-align:left;" class="infobox noprint plainlinks"> <tbody><tr> <td colspan="2" style="text-align:center; font-size:85%">En altres projectes de <a href="/wiki/Fundaci%C3%B3_Wikimedia" title="Fundació Wikimedia">Wikimedia</a>: </td></tr> <tr> <td><figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/Fitxer:Commons-logo.svg" class="mw-file-description" title="Commons"><img alt="Commons" 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