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Jakob Bernoulli - Wikipedia an piemontèis, l'enciclopedìa lìbera e a gràtis
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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="Mostra/Nascondi l'indice" > <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">Mostra/Nascondi l'indice</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">Jakob Bernoulli</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="Vai a una voce in un'altra lingua. Disponibile in 71 lingue" > <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-71" 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">71 lingue</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/Jakob_Bernoulli" title="Jakob Bernoulli - afrikaans" lang="af" hreflang="af" data-title="Jakob Bernoulli" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" 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/Jakob_Bernoulli" title="Jakob Bernoulli - tedesco svizzero" lang="gsw" hreflang="gsw" data-title="Jakob Bernoulli" data-language-autonym="Alemannisch" data-language-local-name="tedesco svizzero" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%8A%D8%A7%D9%83%D9%88%D8%A8_%D8%A8%D8%B1%D9%86%D9%88%D9%84%D9%8A" title="ياكوب برنولي - arabo" lang="ar" hreflang="ar" data-title="ياكوب برنولي" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%8A%D8%A7%D9%83%D9%88%D8%A8_%D8%A8%D9%8A%D8%B1%D9%86%D9%88%D9%84%D9%89" title="ياكوب بيرنولى - arabo egiziano" lang="arz" hreflang="arz" data-title="ياكوب بيرنولى" data-language-autonym="مصرى" data-language-local-name="arabo egiziano" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - asturiano" lang="ast" hreflang="ast" data-title="Jakob Bernoulli" data-language-autonym="Asturianu" data-language-local-name="asturiano" 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/Yakob_Bernulli" title="Yakob Bernulli - azerbaigiano" lang="az" hreflang="az" data-title="Yakob Bernulli" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" 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/%DB%8C%D8%A7%DA%A9%D9%88%D8%A8_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="یاکوب برنولی - South Azerbaijani" lang="azb" hreflang="azb" data-title="یاکوب برنولی" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AF%D0%BA%D0%B0%D0%B1_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D1%96" title="Якаб Бернулі - bielorusso" lang="be" hreflang="be" data-title="Якаб Бернулі" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%AF%D0%BA%D0%BE%D0%B1_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%B8" title="Якоб Бернули - bulgaro" lang="bg" hreflang="bg" data-title="Якоб Бернули" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - bosniaco" lang="bs" hreflang="bs" data-title="Jacob Bernoulli" data-language-autonym="Bosanski" data-language-local-name="bosniaco" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - catalano" lang="ca" hreflang="ca" data-title="Jakob Bernoulli" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - ceco" lang="cs" hreflang="cs" data-title="Jacob Bernoulli" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - gallese" lang="cy" hreflang="cy" data-title="Jakob Bernoulli" data-language-autonym="Cymraeg" data-language-local-name="gallese" 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/Jakob_Bernoulli" title="Jakob Bernoulli - danese" lang="da" hreflang="da" data-title="Jakob Bernoulli" data-language-autonym="Dansk" data-language-local-name="danese" 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/Jakob_I_Bernoulli" title="Jakob I Bernoulli - tedesco" lang="de" hreflang="de" data-title="Jakob I Bernoulli" data-language-autonym="Deutsch" data-language-local-name="tedesco" 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%93%CE%B9%CE%B1%CE%BA%CF%8C%CE%BC%CF%80_%CE%9C%CF%80%CE%B5%CF%81%CE%BD%CE%BF%CF%8D%CE%BB%CE%B9" title="Γιακόμπ Μπερνούλι - greco" lang="el" hreflang="el" data-title="Γιακόμπ Μπερνούλι" data-language-autonym="Ελληνικά" data-language-local-name="greco" 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/Jacob_Bernoulli" title="Jacob Bernoulli - inglese" lang="en" hreflang="en" data-title="Jacob Bernoulli" data-language-autonym="English" data-language-local-name="inglese" 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/Jakob_Bernoulli" title="Jakob Bernoulli - esperanto" lang="eo" hreflang="eo" data-title="Jakob Bernoulli" 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/Jacob_Bernoulli" title="Jacob Bernoulli - spagnolo" lang="es" hreflang="es" data-title="Jacob Bernoulli" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - basco" lang="eu" hreflang="eu" data-title="Jakob Bernoulli" data-language-autonym="Euskara" data-language-local-name="basco" 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/%DB%8C%D8%A7%DA%A9%D9%88%D8%A8_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="یاکوب برنولی - persiano" lang="fa" hreflang="fa" data-title="یاکوب برنولی" data-language-autonym="فارسی" data-language-local-name="persiano" 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/Jakob_Bernoulli" title="Jakob Bernoulli - finlandese" lang="fi" hreflang="fi" data-title="Jakob Bernoulli" data-language-autonym="Suomi" data-language-local-name="finlandese" 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/Jacques_Bernoulli" title="Jacques Bernoulli - francese" lang="fr" hreflang="fr" data-title="Jacques Bernoulli" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frp mw-list-item"><a href="https://frp.wikipedia.org/wiki/Jacques_Bernoulli" title="Jacques Bernoulli - francoprovenzale" lang="frp" hreflang="frp" data-title="Jacques Bernoulli" data-language-autonym="Arpetan" data-language-local-name="francoprovenzale" class="interlanguage-link-target"><span>Arpetan</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - galiziano" lang="gl" hreflang="gl" data-title="Jakob Bernoulli" data-language-autonym="Galego" data-language-local-name="galiziano" 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%99%D7%90%D7%A7%D7%95%D7%91_%D7%91%D7%A8%D7%A0%D7%95%D7%9C%D7%99" title="יאקוב ברנולי - ebraico" lang="he" hreflang="he" data-title="יאקוב ברנולי" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - croato" lang="hr" hreflang="hr" data-title="Jacob Bernoulli" data-language-autonym="Hrvatski" data-language-local-name="croato" 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/Jakob_Bernoulli" title="Jakob Bernoulli - ungherese" lang="hu" hreflang="hu" data-title="Jakob Bernoulli" data-language-autonym="Magyar" data-language-local-name="ungherese" 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/%D5%85%D5%A1%D5%AF%D5%B8%D5%A2_%D4%B2%D5%A5%D5%BC%D5%B6%D5%B8%D6%82%D5%AC%D5%AB" title="Յակոբ Բեռնուլի - armeno" lang="hy" hreflang="hy" data-title="Յակոբ Բեռնուլի" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - indonesiano" lang="id" hreflang="id" data-title="Jacob Bernoulli" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Jacques_Bernoulli" title="Jacques Bernoulli - ido" lang="io" hreflang="io" data-title="Jacques Bernoulli" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - islandese" lang="is" hreflang="is" data-title="Jakob Bernoulli" data-language-autonym="Íslenska" data-language-local-name="islandese" 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/Jakob_Bernoulli" title="Jakob Bernoulli - italiano" lang="it" hreflang="it" data-title="Jakob Bernoulli" data-language-autonym="Italiano" data-language-local-name="italiano" 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/%E3%83%A4%E3%82%B3%E3%83%96%E3%83%BB%E3%83%99%E3%83%AB%E3%83%8C%E3%83%BC%E3%82%A4" title="ヤコブ・ベルヌーイ - giapponese" lang="ja" hreflang="ja" data-title="ヤコブ・ベルヌーイ" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%95%BC%EC%BD%94%ED%94%84_%EB%B2%A0%EB%A5%B4%EB%88%84%EC%9D%B4" title="야코프 베르누이 - coreano" lang="ko" hreflang="ko" data-title="야코프 베르누이" data-language-autonym="한국어" data-language-local-name="coreano" 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%AF%D0%BA%D0%BE%D0%B1_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D0%B8" title="Якоб Бернулли - kirghiso" lang="ky" hreflang="ky" data-title="Якоб Бернулли" data-language-autonym="Кыргызча" data-language-local-name="kirghiso" 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/Iacobus_Bernoullius" title="Iacobus Bernoullius - latino" lang="la" hreflang="la" data-title="Iacobus Bernoullius" data-language-autonym="Latina" data-language-local-name="latino" 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/J%C4%81kobs_Bernulli" title="Jākobs Bernulli - lettone" lang="lv" hreflang="lv" data-title="Jākobs Bernulli" data-language-autonym="Latviešu" data-language-local-name="lettone" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Jacques_Bernoulli" title="Jacques Bernoulli - malgascio" lang="mg" hreflang="mg" data-title="Jacques Bernoulli" data-language-autonym="Malagasy" data-language-local-name="malgascio" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%88%D0%B0%D0%BA%D0%BE%D0%B1_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%B8" title="Јакоб Бернули - macedone" lang="mk" hreflang="mk" data-title="Јакоб Бернули" data-language-autonym="Македонски" data-language-local-name="macedone" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%9C%E0%A5%87%E0%A4%95%E0%A4%AC_%E0%A4%AC%E0%A4%B0%E0%A5%8D%E0%A4%A8%E0%A5%8B%E0%A4%B2%E0%A5%80" title="जेकब बर्नोली - marathi" lang="mr" hreflang="mr" data-title="जेकब बर्नोली" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - maltese" lang="mt" hreflang="mt" data-title="Jacob Bernoulli" data-language-autonym="Malti" data-language-local-name="maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%82%E1%80%BB%E1%80%80%E1%80%BA%E1%80%80%E1%80%B1%E1%80%AC%E1%80%B7_%E1%80%98%E1%80%AC%E1%80%94%E1%80%B1%E1%80%AC%E1%80%B7%E1%80%9C%E1%80%AD" title="ဂျက်ကော့ ဘာနော့လိ - birmano" lang="my" hreflang="my" data-title="ဂျက်ကော့ ဘာနော့လိ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmano" 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/Jakob_Bernoulli" title="Jakob Bernoulli - olandese" lang="nl" hreflang="nl" data-title="Jakob Bernoulli" data-language-autonym="Nederlands" data-language-local-name="olandese" 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/Jakob_Bernoulli" title="Jakob Bernoulli - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Jakob Bernoulli" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese 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/Jakob_Bernoulli" title="Jakob Bernoulli - norvegese bokmål" lang="nb" hreflang="nb" data-title="Jakob Bernoulli" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Jacques_Bernoulli" title="Jacques Bernoulli - occitano" lang="oc" hreflang="oc" data-title="Jacques Bernoulli" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - polacco" lang="pl" hreflang="pl" data-title="Jakob Bernoulli" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DB%8C%D8%A7%DA%A9%D9%88%D8%A8_%D8%A8%D8%B1%D9%86%D9%88%D9%84%D9%8A" title="یاکوب برنولي - pashto" lang="ps" hreflang="ps" data-title="یاکوب برنولي" data-language-autonym="پښتو" data-language-local-name="pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - portoghese" lang="pt" hreflang="pt" data-title="Jakob Bernoulli" data-language-autonym="Português" data-language-local-name="portoghese" 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/Jakob_Bernoulli" title="Jakob Bernoulli - rumeno" lang="ro" hreflang="ro" data-title="Jakob Bernoulli" data-language-autonym="Română" data-language-local-name="rumeno" 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%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D0%B8,_%D0%AF%D0%BA%D0%BE%D0%B1" title="Бернулли, Якоб - russo" lang="ru" hreflang="ru" data-title="Бернулли, Якоб" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D0%B8,_%D0%AF%D0%BA%D0%BE%D0%B1" title="Бернулли, Якоб - sacha" lang="sah" hreflang="sah" data-title="Бернулли, Якоб" data-language-autonym="Саха тыла" data-language-local-name="sacha" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - siciliano" lang="scn" hreflang="scn" data-title="Jakob Bernoulli" data-language-autonym="Sicilianu" data-language-local-name="siciliano" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - serbo-croato" lang="sh" hreflang="sh" data-title="Jacob Bernoulli" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" 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/Jacob_Bernoulli" title="Jacob Bernoulli - Simple English" lang="en-simple" hreflang="en-simple" data-title="Jacob Bernoulli" 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/Jakob_Bernoulli" title="Jakob Bernoulli - slovacco" lang="sk" hreflang="sk" data-title="Jakob Bernoulli" data-language-autonym="Slovenčina" data-language-local-name="slovacco" 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/Jakob_Bernoulli_I." title="Jakob Bernoulli I. - sloveno" lang="sl" hreflang="sl" data-title="Jakob Bernoulli I." data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%88%D0%B0%D0%BA%D0%BE%D0%B1_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%B8" title="Јакоб Бернули - serbo" lang="sr" hreflang="sr" data-title="Јакоб Бернули" data-language-autonym="Српски / srpski" data-language-local-name="serbo" 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/Jakob_Bernoulli" title="Jakob Bernoulli - svedese" lang="sv" hreflang="sv" data-title="Jakob Bernoulli" data-language-autonym="Svenska" data-language-local-name="svedese" 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%9C%E0%AF%87%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%AA%E0%AF%8D_%E0%AE%AA%E0%AF%86%E0%AE%B0%E0%AF%8D%E0%AE%A9%E0%AF%86%E0%AE%B3%E0%AE%B2%E0%AE%BF" title="ஜேக்கப் பெர்னெளலி - tamil" lang="ta" hreflang="ta" data-title="ஜேக்கப் பெர்னெளலி" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Jakob_Bernoulli" title="Jakob Bernoulli - turco" lang="tr" hreflang="tr" data-title="Jakob Bernoulli" data-language-autonym="Türkçe" data-language-local-name="turco" 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%AF%D0%BA%D0%BE%D0%B1_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D1%96" title="Якоб Бернуллі - ucraino" lang="uk" hreflang="uk" data-title="Якоб Бернуллі" data-language-autonym="Українська" data-language-local-name="ucraino" 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%AC%DB%8C%DA%A9%D8%A8_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="جیکب برنولی - urdu" lang="ur" hreflang="ur" data-title="جیکب برنولی" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - vietnamita" lang="vi" hreflang="vi" data-title="Jacob Bernoulli" 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-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - waray" lang="war" hreflang="war" data-title="Jacob Bernoulli" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%9B%85%E5%90%84%E5%B8%83%C2%B7%E4%BC%AF%E5%8A%AA%E5%88%A9" title="雅各布·伯努利 - wu" lang="wuu" hreflang="wuu" data-title="雅各布·伯努利" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%99%D7%90%D7%A7%D7%90%D7%91_%D7%91%D7%A2%D7%A8%D7%A0%D7%95%D7%9C%D7%99" title="יאקאב בערנולי - yiddish" lang="yi" hreflang="yi" data-title="יאקאב בערנולי" data-language-autonym="ייִדיש" data-language-local-name="yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/Jacob_Bernoulli" title="Jacob Bernoulli - yoruba" lang="yo" hreflang="yo" data-title="Jacob Bernoulli" data-language-autonym="Yorùbá" data-language-local-name="yoruba" 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/%E9%9B%85%E5%90%84%E5%B8%83%C2%B7%E4%BC%AF%E5%8A%AA%E5%88%A9" title="雅各布·伯努利 - cinese" lang="zh" hreflang="zh" data-title="雅各布·伯努利" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%9B%85%E5%90%84%E5%B8%83%C2%B7%E7%99%BD%E5%8A%AA%E5%88%A9" title="雅各布·白努利 - cantonese" lang="yue" hreflang="yue" data-title="雅各布·白努利" data-language-autonym="粵語" data-language-local-name="cantonese" 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 href="https://www.wikidata.org/wiki/Special:EntityPage/Q122392#sitelinks-wikipedia" title="Modifiché le liure antërlenga" class="wbc-editpage">Modifiché j'anliure</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Spassi nominaj"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Jakob_Bernoulli" title="Vardé la pàgina ëd contnù. [c]" accesskey="c"><span>Artìcol</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Discussion:Jakob_Bernoulli&action=edit&redlink=1" rel="discussion" class="new" title="Discussion ansima a sta pàgina ëd contnù. (pàgina ch'a esist pa) [t]" accesskey="t"><span>Discussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Cambia versione linguistica" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Piemontèis</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="vìsite"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Jakob_Bernoulli"><span>Lese</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Jakob_Bernoulli&veaction=edit" title="Modifiché costa pàgina [v]" accesskey="v"><span>Modifiché</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Jakob_Bernoulli&action=edit" title="Modifiché ël còdes sorgiss ëd sa pàgina [e]" accesskey="e"><span>Modifiché la sorgiss</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Jakob_Bernoulli&action=history" title="Veje version dla pàgina. 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border:solid blue 1px; margin: 1px;"> <table cellspacing="0" style="border:solid red 1px; margin: 1px; width: 448px; background: lightblue;"> <tbody><tr> <td rowspan="3" style="width: 45px; height: 28px; text-align: center;"><span typeof="mw:File"><a href="/wiki/Figura:Drap%C3%B2_piemont%C3%A8is.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/pms/thumb/c/cb/Drap%C3%B2_piemont%C3%A8is.png/78px-Drap%C3%B2_piemont%C3%A8is.png" decoding="async" width="78" height="56" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/c/cb/Drap%C3%B2_piemont%C3%A8is.png/117px-Drap%C3%B2_piemont%C3%A8is.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/c/cb/Drap%C3%B2_piemont%C3%A8is.png/156px-Drap%C3%B2_piemont%C3%A8is.png 2x" data-file-width="800" data-file-height="571" /></a></span></td> <td style="font-size: 11pt; padding: 2pt 0pt 0pt 4pt; line-height: 1em; color: black;"><b><a class="mw-selflink selflink">Vos</a> an <a href="/wiki/Lenga_piemont%C3%A8isa" title="Lenga piemontèisa">lenga piemontèisa</a></b></td> </tr> <tr> <td style="font-size: 8pt; padding: 1pt 0pt 0pt 4pt; line-height: 1.25em; color: black;">Për amprende a dovré 'l sistema dle parlà locaj <a href="/wiki/Agiut:Parl%C3%A0_locaj" title="Agiut:Parlà locaj">ch'a varda sì</a>.</td> </tr> </tbody></table> </div> </div> <table style="float:left; width:100%;"> <tbody><tr> <td valign="top"> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Figura:Jakob_Bernoulli.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/19/Jakob_Bernoulli.jpg/200px-Jakob_Bernoulli.jpg" decoding="async" width="200" height="234" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/19/Jakob_Bernoulli.jpg/300px-Jakob_Bernoulli.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/19/Jakob_Bernoulli.jpg/400px-Jakob_Bernoulli.jpg 2x" data-file-width="2000" data-file-height="2338" /></a><figcaption>Jakob Bernoulli</figcaption></figure> <p><b>Jakob Bernoulli</b> a l'é stàit un matemàtich. A l'era nassù a <a href="/w/index.php?title=Basil%C3%A9a&action=edit&redlink=1" class="new" title="Basiléa (pàgina ch'a esist pa)">Basiléa</a> ai 27 dë dzèmber dël 1654 e a l'é mòrt ambelelì ai 16 d'ost dël 1705.<br /> Soa famija a l'era originaria d'<a href="/w/index.php?title=Anversa&action=edit&redlink=1" class="new" title="Anversa (pàgina ch'a esist pa)">Anversa</a>, partìa an esili cand ël general Fernando Alvarez ëd Toledo, pì conossù tanme <a href="/w/index.php?title=Duca_d%27Alba&action=edit&redlink=1" class="new" title="Duca d'Alba (pàgina ch'a esist pa)">duca d'Alba</a>, a l'avìa spantià ël teror ant le <a href="/wiki/Fiandre" title="Fiandre">Fiandre</a>, ch'a l'avìa goernà dal 1567 al 1573 a nòm ëd <a href="/w/index.php?title=Filip_II&action=edit&redlink=1" class="new" title="Filip II (pàgina ch'a esist pa)">Filip II</a> re dë Spagna. </p><p>Su consèj ëd sò pare, Jakob a l'ha a l'ancamin ëstudià <a href="/w/index.php?title=Teolog%C3%ACa&action=edit&redlink=1" class="new" title="Teologìa (pàgina ch'a esist pa)">teologìa</a>, anté ch'a l'é laureasse dël 1676, ma a l'é virasse tòst vers l'<a href="/wiki/Astronom%C3%ACa" title="Astronomìa">astronomìa</a>, la <a href="/wiki/Matem%C3%A0tica" title="Matemàtica">matemàtica</a> e la <a href="/wiki/F%C3%ACsica" title="Fìsica">fìsica</a>. La contrarietà ëd sò pare a l'ha antlora possalo a sern-se tanme sìmbol <a href="/w/index.php?title=Feton&action=edit&redlink=1" class="new" title="Feton (pàgina ch'a esist pa)">Feton</a> ch'a men-a ël chèr dël <a href="/wiki/Sol" title="Sol">sol</a> con la scrita <i>Invito patre sidera verso</i>, visadì: <i>I studio le stèile contra 'l vorèj ëd mè pare</i>.<br /> A l'ha viagià an <a href="/wiki/Fransa" title="Fransa">Fransa</a>, an <a href="/wiki/Anghilt%C3%A8ra" title="Anghiltèra">Anghiltèra</a> e ant le Fiandre për rancontré ëd siensià arnomà; rintrà a Basiléa dël 1682 a l'ha duvertà un seminari pùblich ëd <a href="/wiki/F%C3%ACsica" title="Fìsica">fìsica</a> sperimental. Dël 1687 a l'é dventà professor ëd matemàtica a l'<a href="/w/index.php?title=Universit%C3%A0_%C3%ABd_Basil%C3%A9a&action=edit&redlink=1" class="new" title="Università ëd Basiléa (pàgina ch'a esist pa)">università ëd Basiléa</a> (dont a sarà ëdcò resior) anté ch'a l'é restà fin-a a soa mòrt. A son ëd cost'época-sì ij sò travaj pì amportant. </p> <div class="mw-heading mw-heading2"><h2 id="Sò_travaj"><span id="S.C3.B2_travaj"></span>Sò travaj</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jakob_Bernoulli&veaction=edit&section=1" title="I soma dapress a modifiché la session: Sò travaj" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Jakob_Bernoulli&action=edit&section=1" title="Edit section's source code: Sò travaj"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Jakob Bernoulli a peul esse considerà un dij fondador dël <a href="/wiki/C%C3%A0lcol_dle_variassion" title="Càlcol dle variassion">càlcol dle variassion</a>. </p><p>Un dij sò grand mérit a l'é ël dësvlup sistemàtich (ansema a sò frel <a href="/wiki/Johann_Bernoulli" title="Johann Bernoulli">Johann</a>) dël <a href="/w/index.php?title=C%C3%A0lcol_infinitesimal&action=edit&redlink=1" class="new" title="Càlcol infinitesimal (pàgina ch'a esist pa)">càlcol infinitesimal</a> ëd <a href="/wiki/Gottfried_Leibniz" title="Gottfried Leibniz">Leibniz</a> e soa adatassion a vàire situassion, an particolar a lë studi dle <a href="/w/index.php?title=Curve&action=edit&redlink=1" class="new" title="Curve (pàgina ch'a esist pa)">curve</a>. A l'ha studià parèj le <a href="/w/index.php?title=Curve_is%C3%B2crone&action=edit&redlink=1" class="new" title="Curve isòcrone (pàgina ch'a esist pa)">curve isòcrone</a> e ël raj ëd <a href="/w/index.php?title=Curvadura&action=edit&redlink=1" class="new" title="Curvadura (pàgina ch'a esist pa)">curvadura</a>, e a l'é anteressasse a dij <a href="/w/index.php?title=Problema_isoperim%C3%A9trich&action=edit&redlink=1" class="new" title="Problema isoperimétrich (pàgina ch'a esist pa)">problema isoperimétrich</a>: dël 1696 a l'ha ufrì un premi për la solussion dël problema dle plance isoperimétriche; sòn a l'ha mnà a na rusa con sò frel Johann, dont a l'avìa arfudà la solussion. </p><p>Bernoulli a l'ha ëdcò mnà djë studi an sle <a href="/wiki/C%C3%B2nica" title="Cònica">còniche</a>, la <a href="/w/index.php?title=Spiral_logar%C3%ACtimica&action=edit&redlink=1" class="new" title="Spiral logarìtimica (pàgina ch'a esist pa)">spiral logarìtimica</a>, la <a href="/wiki/Sicl%C3%B2ida" title="Siclòida">siclòida</a>, la <a href="/w/index.php?title=Tratris&action=edit&redlink=1" class="new" title="Tratris (pàgina ch'a esist pa)">tratris</a>, la <a href="/wiki/Lemn%C3%ACscata_%C3%ABd_Bernoulli" title="Lemnìscata ëd Bernoulli">lemnìscata</a> e la <a href="/wiki/Cadenaria" title="Cadenaria">cadenaria</a>.<br /> An particolar, a l'era anciarmà da le proprietà dla spiral logarìtmica, ch'a l'avìa stranomà <i>spira mirabilis</i>. A l'é për lòn ch'a l'avìa ciamà ch'a-j na gravèisso un-a su soa tomba (ch'as peul vëdd-se ant ël ciòstr da banda dla <a href="/w/index.php?title=Catedral_%C3%ABd_Basil%C3%A9a&action=edit&redlink=1" class="new" title="Catedral ëd Basiléa (pàgina ch'a esist pa)">catedral ëd Basiléa</a>), con le paròle <i>Eadem mutata resurgo</i>, an arferiment a la propietà ëd sa curva d'esse - a manch ëd n'<a href="/w/index.php?title=Isometr%C3%ACa&action=edit&redlink=1" class="new" title="Isometrìa (pàgina ch'a esist pa)">isometrìa</a> - soa pròpia <a href="/w/index.php?title=D%C3%ABsvlup%C3%A0&action=edit&redlink=1" class="new" title="Dësvlupà (pàgina ch'a esist pa)">dësvlupà</a> e invarianta për <a href="/w/index.php?title=Similit%C3%B9din&action=edit&redlink=1" class="new" title="Similitùdin (pàgina ch'a esist pa)">similitùdin</a>. Belavans, ël graveur a l'era nen un bon matemàtich e a l'ha dissegnà na <a href="/wiki/Spiral_d%27Archimede" title="Spiral d'Archimede">spiral d'Archimede</a>. </p><p>Dël 1691 a l'ha antroduvù l'espression <a href="/w/index.php?title=C%C3%A0lcol_ant%C3%ABgral&action=edit&redlink=1" class="new" title="Càlcol antëgral (pàgina ch'a esist pa)">càlcol antëgral</a> an sò sens matemàtich dël di d'ancheuj. A l'é stàit ël prim a antrodùe le <a href="/w/index.php?title=Coordin%C3%A0_polar&action=edit&redlink=1" class="new" title="Coordinà polar (pàgina ch'a esist pa)">coordinà polar</a>. </p><p>Sò a son ëdcò dij travaj an sle <a href="/w/index.php?title=Serie&action=edit&redlink=1" class="new" title="Serie (pàgina ch'a esist pa)">serie</a>, con dle <a href="/w/index.php?title=Dimostrassion&action=edit&redlink=1" class="new" title="Dimostrassion (pàgina ch'a esist pa)">dimostrassion</a> ëd <a href="/w/index.php?title=Convergensa&action=edit&redlink=1" class="new" title="Convergensa (pàgina ch'a esist pa)">convergensa</a> rigorose, për esempi për la serie <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b42204c71e0c7128ff6f317abcb1deea9c6a946" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:7.027ex; height:6.843ex;" alt="{\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n^{2}}}}"></span>. </p><p>Soa contribussion matemàtica pì amportanta e original a l'é la fondassion ëd la <a href="/w/index.php?title=Teor%C3%ACa&action=edit&redlink=1" class="new" title="Teorìa (pàgina ch'a esist pa)">teorìa</a> dla <a href="/wiki/Probabilit%C3%A0" title="Probabilità">probabilità</a>, enonsià ant ël lìber <i>Ars conjectandi</i>. Sò anteresse për ës soget a lo men-a a arflete an sle nossion ëd probabilità geométrica <i>a priori</i>, dàita da 'd rason ëd <a href="/w/index.php?title=Simetr%C3%ACa&action=edit&redlink=1" class="new" title="Simetrìa (pàgina ch'a esist pa)">simetrìa</a> dël problema, e ëd probabilità <i>a posteriori</i>, constatà da la <a href="/w/index.php?title=Frequensa&action=edit&redlink=1" class="new" title="Frequensa (pàgina ch'a esist pa)">frequensa</a> dl'<a href="/w/index.php?title=Event&action=edit&redlink=1" class="new" title="Event (pàgina ch'a esist pa)">event</a>.<br /> A l'ha smonù na dimostrassion rigorosa dla <a href="/w/index.php?title=Laj_d%C3%A9bol_dij_grand_n%C3%B9mer&action=edit&redlink=1" class="new" title="Laj débol dij grand nùmer (pàgina ch'a esist pa)">laj débol dij grand nùmer</a> për ël gieugh ëd <a href="/w/index.php?title=Testa_o_cros&action=edit&redlink=1" class="new" title="Testa o cros (pàgina ch'a esist pa)">testa o cros</a>. </p> <div class="mw-heading mw-heading2"><h2 id="A_pòrto_sò_nòm"><span id="A_p.C3.B2rto_s.C3.B2_n.C3.B2m"></span>A pòrto sò nòm</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jakob_Bernoulli&veaction=edit&section=2" title="I soma dapress a modifiché la session: A pòrto sò nòm" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Jakob_Bernoulli&action=edit&section=2" title="Edit section's source code: A pòrto sò nòm"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Disugualiansa_%C3%ABd_Bernoulli" title="Disugualiansa ëd Bernoulli">Disugualiansa ëd Bernoulli</a></li> <li><a href="/wiki/Equassion_%C3%ABd_Jakob_Bernoulli" title="Equassion ëd Jakob Bernoulli">Equassion ëd Jakob Bernoulli</a></li> <li>Lemnìscata ëd Bernoulli</li> <li><a href="/wiki/Polin%C3%B2mi_%C3%ABd_Bernoulli" title="Polinòmi ëd Bernoulli">Polinòmi e nùmer ëd Bernoulli</a></li> <li><a href="/wiki/Preuva_%C3%ABd_Bernoulli" title="Preuva ëd Bernoulli">Preuva (o distribussion) ëd Bernoulli</a> o binomial</li> <li><a href="/wiki/Teorema_%C3%ABd_Bernoulli" title="Teorema ëd Bernoulli">Teorema ëd Bernoulli</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Euvre_prinsipaj">Euvre prinsipaj</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jakob_Bernoulli&veaction=edit&section=3" title="I soma dapress a modifiché la session: Euvre prinsipaj" class="mw-editsection-visualeditor"><span>modìfica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Jakob_Bernoulli&action=edit&section=3" title="Edit section's source code: Euvre prinsipaj"><span>modifiché la sorgiss</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Acta eruditorum (1690)</li> <li>Ars conjectandi (publicà dël 1713 dòp la mòrt ëd l'autor, soagnà da sà novod <a href="/wiki/Nicolas_II_Bernoulli" title="Nicolas II Bernoulli">Nicolas</a>)</li></ul> </td> <td class="nomobile" style="background: #C0E1FF; width:152px; font-size: 85%;" align="right" valign="top"> <div class="nomobile"> <div style="border:solid grey 1px; margin: 1px; padding: 2px;"> <table cellpadding="1" style="font-size:95%" align="center"> <tbody><tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Lese_%C3%ABl_piemont%C3%A8is" title="Aiuto"><img alt="Aiuto" src="//upload.wikimedia.org/wikipedia/pms/thumb/0/09/Italiancurt.png/30px-Italiancurt.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/0/09/Italiancurt.png/45px-Italiancurt.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/0/09/Italiancurt.png/60px-Italiancurt.png 2x" data-file-width="172" data-file-height="172" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Lese_%C3%ABl_piemont%C3%A8is" title="Wikipedia:Lese 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src="//upload.wikimedia.org/wikipedia/pms/thumb/c/cc/Angl%C3%A8iscurt.png/30px-Angl%C3%A8iscurt.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/c/cc/Angl%C3%A8iscurt.png/45px-Angl%C3%A8iscurt.png 1.5x, //upload.wikimedia.org/wikipedia/pms/thumb/c/cc/Angl%C3%A8iscurt.png/60px-Angl%C3%A8iscurt.png 2x" data-file-width="172" data-file-height="172" /></a></span> </td> <td><b><a href="/wiki/Wikipedia:Reading_Piedmontese_English_version" title="Wikipedia:Reading Piedmontese English version">Help for<br />Reading</a></b> </td></tr> <tr> <td align="center"><span typeof="mw:File"><a href="/wiki/Wikipedia:Pi%C3%B2la" title="Rintré ant la Piòla"><img alt="Rintré ant la Piòla" src="//upload.wikimedia.org/wikipedia/pms/thumb/0/0c/Blasonpms.png/30px-Blasonpms.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/pms/thumb/0/0c/Blasonpms.png/45px-Blasonpms.png 1.5x, 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