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class="vector-toc-numb">2</span> <span>Mathematical work</span> </div> </a> <ul id="toc-Mathematical_work-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Economics_and_statistics" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Economics_and_statistics"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Economics and statistics</span> </div> </a> <ul id="toc-Economics_and_statistics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Physics" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Physics"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Physics</span> </div> </a> <ul id="toc-Physics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Works" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Works"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Works</span> </div> </a> <ul id="toc-Works-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Legacy" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Legacy"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Legacy</span> </div> </a> <ul id="toc-Legacy-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>References</span> </div> </a> <button aria-controls="toc-References-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle References subsection</span> </button> <ul id="toc-References-sublist" class="vector-toc-list"> <li id="toc-Footnotes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Footnotes"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Footnotes</span> </div> </a> <ul id="toc-Footnotes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Works_cited" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Works_cited"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Works cited</span> </div> </a> <ul id="toc-Works_cited-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>External links</span> </div> </a> <ul id="toc-External_links-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="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table of Contents" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <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">Toggle the table of contents</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">Daniel 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="Go to an article in another language. Available in 80 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-80" 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">80 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Alemannic" lang="gsw" hreflang="gsw" data-title="Daniel Bernoulli" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" 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/%D8%AF%D8%A7%D9%86%D9%8A%D9%8A%D9%84_%D8%A8%D8%B1%D9%86%D9%88%D9%84%D9%8A" title="دانييل برنولي – Arabic" lang="ar" hreflang="ar" data-title="دانييل برنولي" data-language-autonym="العربية" data-language-local-name="Arabic" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Aragonese" lang="an" hreflang="an" data-title="Daniel Bernoulli" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Asturian" lang="ast" hreflang="ast" data-title="Daniel Bernoulli" data-language-autonym="Asturianu" data-language-local-name="Asturian" 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/Daniil_Bernulli" title="Daniil Bernulli – Azerbaijani" lang="az" hreflang="az" data-title="Daniil Bernulli" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" 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%AF%D8%A7%D9%86%DB%8C%D9%84_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="دانیل برنولی – South Azerbaijani" lang="azb" hreflang="azb" data-title="دانیل 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-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A6%E0%A6%BE%E0%A6%A8%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A7%87%E0%A6%B2_%E0%A6%AC%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A8%E0%A7%81%E0%A6%AF%E0%A6%BC%E0%A6%BF" title="দানিয়েল বার্নুয়ি – Bangla" lang="bn" hreflang="bn" data-title="দানিয়েল বার্নুয়ি" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Minnan" lang="nan" hreflang="nan" data-title="Daniel Bernoulli" 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-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%94%D0%B0%D0%BD%D1%96%D1%96%D0%BB_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D1%96" title="Данііл Бернулі – Belarusian" lang="be" hreflang="be" data-title="Данііл Бернулі" data-language-autonym="Беларуская" data-language-local-name="Belarusian" 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%94%D0%B0%D0%BD%D0%B8%D0%B5%D0%BB_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%B8" title="Даниел Бернули – Bulgarian" lang="bg" hreflang="bg" data-title="Даниел Бернули" data-language-autonym="Български" data-language-local-name="Bulgarian" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Bosnian" lang="bs" hreflang="bs" data-title="Daniel Bernoulli" data-language-autonym="Bosanski" data-language-local-name="Bosnian" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Catalan" lang="ca" hreflang="ca" data-title="Daniel Bernoulli" data-language-autonym="Català" data-language-local-name="Catalan" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Czech" lang="cs" hreflang="cs" data-title="Daniel Bernoulli" data-language-autonym="Čeština" data-language-local-name="Czech" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Danish" lang="da" hreflang="da" data-title="Daniel Bernoulli" data-language-autonym="Dansk" data-language-local-name="Danish" 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/Daniel_Bernoulli" title="Daniel Bernoulli – German" lang="de" hreflang="de" data-title="Daniel Bernoulli" data-language-autonym="Deutsch" data-language-local-name="German" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Estonian" lang="et" hreflang="et" data-title="Daniel Bernoulli" data-language-autonym="Eesti" data-language-local-name="Estonian" 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%9D%CF%84%CE%AC%CE%BD%CE%B9%CE%B5%CE%BB_%CE%9C%CF%80%CE%B5%CF%81%CE%BD%CE%BF%CF%8D%CE%BB%CE%B9" title="Ντάνιελ Μπερνούλι – Greek" lang="el" hreflang="el" data-title="Ντάνιελ Μπερνούλι" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Spanish" lang="es" hreflang="es" data-title="Daniel Bernoulli" data-language-autonym="Español" data-language-local-name="Spanish" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Esperanto" lang="eo" hreflang="eo" data-title="Daniel Bernoulli" data-language-autonym="Esperanto" data-language-local-name="Esperanto" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Basque" lang="eu" hreflang="eu" data-title="Daniel Bernoulli" data-language-autonym="Euskara" data-language-local-name="Basque" 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%AF%D8%A7%D9%86%DB%8C%D9%84_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="دانیل برنولی – Persian" lang="fa" hreflang="fa" data-title="دانیل برنولی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – French" lang="fr" hreflang="fr" data-title="Daniel Bernoulli" data-language-autonym="Français" data-language-local-name="French" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Irish" lang="ga" hreflang="ga" data-title="Daniel Bernoulli" data-language-autonym="Gaeilge" data-language-local-name="Irish" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Galician" lang="gl" hreflang="gl" data-title="Daniel Bernoulli" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8B%A4%EB%8B%88%EC%97%98_%EB%B2%A0%EB%A5%B4%EB%88%84%EC%9D%B4" title="다니엘 베르누이 – Korean" lang="ko" hreflang="ko" data-title="다니엘 베르누이" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B4%D5%A1%D5%B6%D5%AB%D5%A5%D5%AC_%D4%B2%D5%A5%D5%BC%D5%B6%D5%B8%D6%82%D5%AC%D5%AB" title="Դանիել Բեռնուլի – Armenian" lang="hy" hreflang="hy" data-title="Դանիել Բեռնուլի" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A1%E0%A5%87%E0%A4%A8%E0%A5%8D%E0%A4%AF%E0%A4%B2_%E0%A4%AC%E0%A4%B0%E0%A5%8D%E0%A4%A8%E0%A5%82%E0%A4%B2%E0%A5%80" title="डेन्यल बर्नूली – Hindi" lang="hi" hreflang="hi" data-title="डेन्यल बर्नूली" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Croatian" lang="hr" hreflang="hr" data-title="Daniel Bernoulli" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Ido" lang="io" hreflang="io" data-title="Daniel Bernoulli" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Indonesian" lang="id" hreflang="id" data-title="Daniel Bernoulli" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Icelandic" lang="is" hreflang="is" data-title="Daniel Bernoulli" data-language-autonym="Íslenska" data-language-local-name="Icelandic" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Italian" lang="it" hreflang="it" data-title="Daniel Bernoulli" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%93%D7%A0%D7%99%D7%90%D7%9C_%D7%91%D7%A8%D7%A0%D7%95%D7%9C%D7%99" title="דניאל ברנולי – Hebrew" lang="he" hreflang="he" data-title="דניאל ברנולי" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Javanese" lang="jv" hreflang="jv" data-title="Daniel Bernoulli" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%94%D0%B0%D0%BD%D0%B8%D0%B8%D0%BB_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D0%B8" title="Даниил Бернулли – Kazakh" lang="kk" hreflang="kk" data-title="Даниил Бернулли" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Haitian Creole" lang="ht" hreflang="ht" data-title="Daniel Bernoulli" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%94%D0%B0%D0%BD%D0%B8%D0%B8%D0%BB_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D0%B8" title="Даниил Бернулли – Kyrgyz" lang="ky" hreflang="ky" data-title="Даниил Бернулли" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" 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/Daniel_Bernoullius" title="Daniel Bernoullius – Latin" lang="la" hreflang="la" data-title="Daniel Bernoullius" data-language-autonym="Latina" data-language-local-name="Latin" 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/D%C4%81niels_Bernulli" title="Dāniels Bernulli – Latvian" lang="lv" hreflang="lv" data-title="Dāniels Bernulli" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Lithuanian" lang="lt" hreflang="lt" data-title="Daniel Bernoulli" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Hungarian" lang="hu" hreflang="hu" data-title="Daniel Bernoulli" data-language-autonym="Magyar" data-language-local-name="Hungarian" 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%94%D0%B0%D0%BD%D0%B8%D0%B5%D0%BB_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%B8" title="Даниел Бернули – Macedonian" lang="mk" hreflang="mk" data-title="Даниел Бернули" data-language-autonym="Македонски" data-language-local-name="Macedonian" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Malagasy" lang="mg" hreflang="mg" data-title="Daniel Bernoulli" data-language-autonym="Malagasy" data-language-local-name="Malagasy" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Maltese" lang="mt" hreflang="mt" data-title="Daniel Bernoulli" data-language-autonym="Malti" data-language-local-name="Maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%93%E1%83%90%E1%83%9C%E1%83%98%E1%83%94%E1%83%9A_%E1%83%91%E1%83%94%E1%83%A0%E1%83%9C%E1%83%A3%E1%83%9A%E1%83%98" title="დანიელ ბერნული – Mingrelian" lang="xmf" hreflang="xmf" data-title="დანიელ ბერნული" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%AF%D8%A7%D9%86%D9%8A%D9%8A%D9%84_%D8%A8%D8%B1%D9%86%D9%88%D9%84%D9%89" title="دانييل برنولى – Egyptian Arabic" lang="arz" hreflang="arz" data-title="دانييل برنولى" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%92%E1%80%94%E1%80%BA%E1%80%94%E1%80%AE%E1%80%9A%E1%80%9A%E1%80%BA_%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="ဒန်နီယယ် ဘာနော့လိ – Burmese" lang="my" hreflang="my" data-title="ဒန်နီယယ် ဘာနော့လိ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Dutch" lang="nl" hreflang="nl" data-title="Daniel Bernoulli" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%80%E3%83%8B%E3%82%A8%E3%83%AB%E3%83%BB%E3%83%99%E3%83%AB%E3%83%8C%E3%83%BC%E3%82%A4" title="ダニエル・ベルヌーイ – Japanese" lang="ja" hreflang="ja" data-title="ダニエル・ベルヌーイ" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Daniel Bernoulli" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Daniel Bernoulli" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%DA%88%DB%8C%D9%86%DB%8C%D8%A7%D9%84_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="ڈینیال برنولی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ڈینیال برنولی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Piedmontese" lang="pms" hreflang="pms" data-title="Daniel Bernoulli" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Polish" lang="pl" hreflang="pl" data-title="Daniel Bernoulli" data-language-autonym="Polski" data-language-local-name="Polish" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Portuguese" lang="pt" hreflang="pt" data-title="Daniel Bernoulli" data-language-autonym="Português" data-language-local-name="Portuguese" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Romanian" lang="ro" hreflang="ro" data-title="Daniel Bernoulli" data-language-autonym="Română" data-language-local-name="Romanian" 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%94%D0%B0%D0%BD%D0%B8%D0%B8%D0%BB" title="Бернулли, Даниил – Russian" lang="ru" hreflang="ru" data-title="Бернулли, Даниил" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Sicilian" lang="scn" hreflang="scn" data-title="Daniel Bernoulli" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%A9%E0%B7%90%E0%B6%B1%E0%B7%92%E0%B6%BA%E0%B7%99%E0%B6%BD%E0%B7%8A_%E0%B6%B6%E0%B6%BB%E0%B7%8A%E0%B6%B1%E0%B7%96%E0%B6%BD%E0%B7%92" title="ඩැනියෙල් බර්නූලි – Sinhala" lang="si" hreflang="si" data-title="ඩැනියෙල් බර්නූලි" data-language-autonym="සිංහල" data-language-local-name="Sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Simple English" lang="en-simple" hreflang="en-simple" data-title="Daniel 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/Daniel_Bernoulli" title="Daniel Bernoulli – Slovak" lang="sk" hreflang="sk" data-title="Daniel Bernoulli" data-language-autonym="Slovenčina" data-language-local-name="Slovak" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Slovenian" lang="sl" hreflang="sl" data-title="Daniel Bernoulli" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" 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%94%D0%B0%D0%BD%D0%B8%D1%98%D0%B5%D0%BB_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%B8" title="Данијел Бернули – Serbian" lang="sr" hreflang="sr" data-title="Данијел Бернули" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Daniel Bernoulli" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Sundanese" lang="su" hreflang="su" data-title="Daniel Bernoulli" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Finnish" lang="fi" hreflang="fi" data-title="Daniel Bernoulli" data-language-autonym="Suomi" data-language-local-name="Finnish" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Swedish" lang="sv" hreflang="sv" data-title="Daniel Bernoulli" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Tagalog" lang="tl" hreflang="tl" data-title="Daniel Bernoulli" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9F%E0%AF%87%E0%AE%A9%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D_%E0%AE%AA%E0%AF%86%E0%AE%B0%E0%AF%8D%E0%AE%A9%E0%AF%82%E0%AE%B2%E0%AE%BF" title="டேனியல் பெர்னூலி – Tamil" lang="ta" hreflang="ta" data-title="டேனியல் பெர்னூலி" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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%94%E0%B8%B2%E0%B8%99%E0%B8%B5%E0%B9%80%E0%B8%AD%E0%B8%A5_%E0%B9%81%E0%B8%9A%E0%B8%A3%E0%B9%8C%E0%B8%99%E0%B8%B8%E0%B8%A5%E0%B8%A5%E0%B8%B5" title="ดานีเอล แบร์นุลลี – Thai" lang="th" hreflang="th" data-title="ดานีเอล แบร์นุลลี" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Daniel_Bernoulli" title="Daniel Bernoulli – Turkish" lang="tr" hreflang="tr" data-title="Daniel Bernoulli" data-language-autonym="Türkçe" data-language-local-name="Turkish" 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%94%D0%B0%D0%BD%D1%96%D0%B5%D0%BB%D1%8C_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D1%96" title="Даніель Бернуллі – Ukrainian" lang="uk" hreflang="uk" data-title="Даніель Бернуллі" data-language-autonym="Українська" data-language-local-name="Ukrainian" 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/%DA%88%DB%8C%D9%86%DB%8C%D8%A7%D9%84_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C" title="ڈینیال برنولی – Urdu" lang="ur" hreflang="ur" data-title="ڈینیال 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/Daniel_Bernoulli" title="Daniel Bernoulli – Vietnamese" lang="vi" hreflang="vi" data-title="Daniel Bernoulli" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" 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/Daniel_Bernoulli" title="Daniel Bernoulli – Waray" lang="war" hreflang="war" data-title="Daniel 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/%E4%B8%B9%E5%B0%BC%E5%B0%94%C2%B7%E4%BC%AF%E5%8A%AA%E5%88%A9" title="丹尼尔·伯努利 – Wu" lang="wuu" hreflang="wuu" data-title="丹尼尔·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%93%D7%A0%D7%99%D7%90%D7%9C_%D7%91%D7%A2%D7%A8%D7%A0%D7%95%D7%9C%D7%99" title="דניאל בערנולי – Yiddish" lang="yi" hreflang="yi" data-title="דניאל 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/Daniel_Bernoulli" title="Daniel Bernoulli – Yoruba" lang="yo" hreflang="yo" data-title="Daniel 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-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%B8%B9%E5%B0%BC%E7%88%BE%E7%99%BD%E5%8A%AA%E5%88%A9" title="丹尼爾白努利 – Cantonese" lang="yue" hreflang="yue" data-title="丹尼爾白努利" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B8%B9%E5%B0%BC%E5%B0%94%C2%B7%E4%BC%AF%E5%8A%AA%E5%88%A9" title="丹尼尔·伯努利 – Chinese" lang="zh" hreflang="zh" data-title="丹尼尔·伯努利" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</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/Q122366#sitelinks-wikipedia" title="Edit interlanguage links" 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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Swiss mathematician and physicist (1700–1782)</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Daniel Bernoulli</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg/220px-Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg" decoding="async" width="220" height="280" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg/330px-Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg/440px-Portr%C3%A4t_des_Daniel_Bernoulli_-_edit1.jpg 2x" data-file-width="2318" data-file-height="2949" /></a></span><div class="infobox-caption">Portrait of Daniel Bernoulli, <abbr title="circa">c.</abbr> 1720-1725</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data">8 February 1700<br /><div style="display:inline" class="birthplace"><a href="/wiki/Groningen_(city)" class="mw-redirect" title="Groningen (city)">Groningen</a>, <a href="/wiki/Dutch_Republic" title="Dutch Republic">Dutch Republic</a></div></td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">27 March 1782 (aged 82)<br /><div style="display:inline" class="deathplace"><a href="/wiki/Basel" title="Basel">Basel</a>, <a href="/wiki/Old_Swiss_Confederacy" title="Old Swiss Confederacy">Republic of the Swiss</a></div></td></tr><tr><th scope="row" class="infobox-label">Nationality</th><td class="infobox-data category">Swiss</td></tr><tr><th scope="row" class="infobox-label">Education</th><td class="infobox-data"><a href="/wiki/University_of_Basel" title="University of Basel">University of Basel</a> (M.D., 1721)<br /><a href="/wiki/Heidelberg_University" title="Heidelberg University">Heidelberg University</a><br /><a href="/wiki/University_of_Strasbourg" title="University of Strasbourg">University of Strasbourg</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Bernoulli%27s_principle" title="Bernoulli's principle">Bernoulli's principle</a><br /><a href="/wiki/Euler%E2%80%93Bernoulli_beam_theory" title="Euler–Bernoulli beam theory">Euler–Bernoulli beam theory</a><br />Early <a href="/wiki/Kinetic_theory_of_gases" title="Kinetic theory of gases">kinetic theory of gases</a><br /><a href="/wiki/Gamma_function" title="Gamma function">Gamma function</a><br /><a href="/wiki/St._Petersburg_paradox" title="St. Petersburg paradox">St. Petersburg paradox</a><br /><a href="/wiki/Superposition_principle" title="Superposition principle">Superposition principle</a><br /><a href="/wiki/Thermodynamics" title="Thermodynamics">Thermodynamics</a></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546" /><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Mathematics" title="Mathematics">Mathematics</a>, <a href="/wiki/Physics" title="Physics">physics</a>, <a href="/wiki/Medicine" title="Medicine">medicine</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="https://books.google.com/books/about/Dissertatio_inauguralis_physico_medica_d.html?id=hxVbAAAAQAAJ&redir_esc=y">Dissertatio physico-medica de respiratione (Dissertation on the medical physics of respiration)</a></i> <span style="font-size:97%;">(1721)</span></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th colspan="2" class="infobox-header">Signature</th></tr><tr><td colspan="2" class="infobox-full-data"><span class="infobox-signature skin-invert" typeof="mw:File"><a href="/wiki/File:Daniel_Bernoulli_Signature.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Daniel_Bernoulli_Signature.svg/150px-Daniel_Bernoulli_Signature.svg.png" decoding="async" width="150" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Daniel_Bernoulli_Signature.svg/225px-Daniel_Bernoulli_Signature.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Daniel_Bernoulli_Signature.svg/300px-Daniel_Bernoulli_Signature.svg.png 2x" data-file-width="316" data-file-height="51" /></a></span></td></tr></tbody></table> <p><b>Daniel Bernoulli</b> <span class="nobold noexcerpt nowraplinks" style="font-size:;"><span style="font-size: 85%;"><a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">FRS</a></span></span> (<span class="rt-commentedText nowrap"><span class="IPA nopopups noexcerpt" lang="en-fonipa"><a href="/wiki/Help:IPA/English" title="Help:IPA/English">/<span style="border-bottom:1px dotted"><span title="'b' in 'buy'">b</span><span title="/ɜːr/: 'ur' in 'fur'">ɜːr</span><span title="/ˈ/: primary stress follows">ˈ</span><span title="'n' in 'nigh'">n</span><span title="/uː/: 'oo' in 'goose'">uː</span><span title="'l' in 'lie'">l</span><span title="/i/: 'y' in 'happy'">i</span></span>/</a></span></span> <a href="/wiki/Help:Pronunciation_respelling_key" title="Help:Pronunciation respelling key"><i title="English pronunciation respelling">bur-<span style="font-size:90%">NOO</span>-lee</i></a>; <style data-mw-deduplicate="TemplateStyles:r1177148991">.mw-parser-output .IPA-label-small{font-size:85%}.mw-parser-output .references .IPA-label-small,.mw-parser-output .infobox .IPA-label-small,.mw-parser-output .navbox .IPA-label-small{font-size:100%}</style><span class="IPA-label IPA-label-small">Swiss Standard German:</span> <span class="IPA nowrap" lang="de-Latn-CH-fonipa"><a href="/wiki/Help:IPA/Standard_German" title="Help:IPA/Standard German">[ˈdaːni̯eːl<span class="wrap"> </span>bɛrˈnʊli]</a></span>;<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> 8 February [<a href="/wiki/Old_Style_and_New_Style_dates" title="Old Style and New Style dates">O.S.</a> 29 January] 1700 – 27 March 1782<sup id="cite_ref-NNDB_2-0" class="reference"><a href="#cite_note-NNDB-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>) was a <a href="/wiki/Swiss_people" title="Swiss people">Swiss</a>-<a href="/wiki/France" title="France">French</a> <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> and <a href="/wiki/Physicist" title="Physicist">physicist</a><sup id="cite_ref-NNDB_2-1" class="reference"><a href="#cite_note-NNDB-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> and was one of the many prominent mathematicians in the <a href="/wiki/Bernoulli_family" title="Bernoulli family">Bernoulli family</a> from Basel. He is particularly remembered for his applications of mathematics to mechanics, especially <a href="/wiki/Fluid_mechanics" title="Fluid mechanics">fluid mechanics</a>, and for his pioneering work in <a href="/wiki/Probability" title="Probability">probability</a> and <a href="/wiki/Statistics" title="Statistics">statistics</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> His name is commemorated in the <a href="/wiki/Bernoulli%27s_principle" title="Bernoulli's principle">Bernoulli's principle</a>, a particular example of the <a href="/wiki/Conservation_of_energy" title="Conservation of energy">conservation of energy</a>, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the <a href="/wiki/Carburetor" title="Carburetor">carburetor</a> and the aeroplane <a href="/wiki/Wing" title="Wing">wing</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Early_life">Early life</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=1" title="Edit section: Early life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:HYDRODYNAMICA,_Danielis_Bernoulli.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/HYDRODYNAMICA%2C_Danielis_Bernoulli.png/200px-HYDRODYNAMICA%2C_Danielis_Bernoulli.png" decoding="async" width="200" height="275" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/HYDRODYNAMICA%2C_Danielis_Bernoulli.png/300px-HYDRODYNAMICA%2C_Danielis_Bernoulli.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0b/HYDRODYNAMICA%2C_Danielis_Bernoulli.png/400px-HYDRODYNAMICA%2C_Danielis_Bernoulli.png 2x" data-file-width="883" data-file-height="1214" /></a><figcaption>Frontpage of <i><a href="/wiki/Hydrodynamica" title="Hydrodynamica">Hydrodynamica</a></i> (1738)</figcaption></figure> <p>Daniel Bernoulli was born in <a href="/wiki/Groningen_(city)" class="mw-redirect" title="Groningen (city)">Groningen</a>, in the Netherlands, into a <a href="/wiki/Bernoulli_family" title="Bernoulli family">family</a> of distinguished mathematicians.<sup id="cite_ref-Rothbard_6-0" class="reference"><a href="#cite_note-Rothbard-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> The Bernoulli family came originally from Antwerp, at that time in the <a href="/wiki/Spanish_Netherlands" title="Spanish Netherlands">Spanish Netherlands</a>, but emigrated to escape the Spanish persecution of the <a href="/wiki/Protestant" class="mw-redirect" title="Protestant">Protestants</a>. After a brief period in Frankfurt the family moved to Basel, in Switzerland. </p><p>Daniel was the son of <a href="/wiki/Johann_Bernoulli" title="Johann Bernoulli">Johann Bernoulli</a> (one of the early developers of <a href="/wiki/Calculus" title="Calculus">calculus</a>) and a nephew of <a href="/wiki/Jacob_Bernoulli" title="Jacob Bernoulli">Jacob Bernoulli</a> (an early researcher in <a href="/wiki/Probability_theory" title="Probability theory">probability theory</a> and the discoverer of the mathematical constant <a href="/wiki/E_(mathematical_constant)" title="E (mathematical constant)">e</a>).<sup id="cite_ref-Rothbard_6-1" class="reference"><a href="#cite_note-Rothbard-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> He had two brothers, <a href="/wiki/Nicolaus_II_Bernoulli" title="Nicolaus II Bernoulli">Niklaus</a> and <a href="/wiki/Johann_II_Bernoulli" title="Johann II Bernoulli">Johann II</a>. Daniel Bernoulli was described by <a href="/wiki/W._W._Rouse_Ball" title="W. W. Rouse Ball">W. W. Rouse Ball</a> as "by far the ablest of the younger Bernoullis".<sup id="cite_ref-ball_7-0" class="reference"><a href="#cite_note-ball-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p><p>He is said to have had a bad relationship with his father. Both of them entered and tied for first place in a scientific contest at the <a href="/wiki/University_of_Paris" title="University of Paris">University of Paris</a>. Johann banned Daniel from his house, allegedly being unable to bear the "shame" of Daniel being considered his equal. Johann allegedly plagiarized key ideas from Daniel's book <i><a href="/wiki/Hydrodynamica" title="Hydrodynamica">Hydrodynamica</a></i> in his book <i>Hydraulica</i> and backdated them to before <i>Hydrodynamica</i>.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (April 2024)">citation needed</span></a></i>]</sup> Daniel's attempts at reconciliation with his father were unsuccessful.<sup id="cite_ref-mactutor_8-0" class="reference"><a href="#cite_note-mactutor-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </p><p>When he was in school, Johann encouraged Daniel to study business citing poor financial compensation for mathematicians. Daniel initially refused but later relented and studied both business and <a href="/wiki/Medicine" title="Medicine">medicine</a> at his father's behest under the condition that his father would teach him mathematics privately.<sup id="cite_ref-mactutor_8-1" class="reference"><a href="#cite_note-mactutor-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> Daniel studied medicine at <a href="/wiki/University_of_Basel" title="University of Basel">Basel</a>, <a href="/wiki/Heidelberg_University" title="Heidelberg University">Heidelberg</a>, and <a href="/wiki/University_of_Strasbourg" title="University of Strasbourg">Strasbourg</a>, and earned a PhD in anatomy and botany in 1721.<sup id="cite_ref-andhist_9-0" class="reference"><a href="#cite_note-andhist-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p><p>He was a contemporary and close friend of <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a>.<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> He went to <a href="/wiki/Saint_Petersburg" title="Saint Petersburg">St. Petersburg</a> in 1724 as professor of mathematics, but was very unhappy there. A temporary illness<sup id="cite_ref-mactutor_8-2" class="reference"><a href="#cite_note-mactutor-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> together with the censorship by the <a href="/wiki/Russian_Orthodox_Church" title="Russian Orthodox Church">Russian Orthodox Church</a><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> and disagreements over his salary gave him an excuse for leaving St. Petersburg in 1733.<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> He returned to the <a href="/wiki/University_of_Basel" title="University of Basel">University of Basel</a>, where he successively held the chairs of <a href="/wiki/Medicine" title="Medicine">medicine</a>, <a href="/wiki/Metaphysics" title="Metaphysics">metaphysics</a>, and <a href="/wiki/Natural_philosophy" title="Natural philosophy">natural philosophy</a> until his death.<sup id="cite_ref-eb_13-0" class="reference"><a href="#cite_note-eb-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>In May 1750 he was elected a <a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">Fellow of the Royal Society</a>.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Mathematical_work">Mathematical work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=2" title="Edit section: Mathematical work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-More_citations_needed plainlinks metadata ambox ambox-content ambox-Refimprove" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This section <b>needs additional citations for <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">verification</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Daniel_Bernoulli" title="Special:EditPage/Daniel Bernoulli">improve this article</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a> in this section. Unsourced material may be challenged and removed.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Daniel+Bernoulli%22">"Daniel Bernoulli"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Daniel+Bernoulli%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Daniel+Bernoulli%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Daniel+Bernoulli%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Daniel+Bernoulli%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Daniel+Bernoulli%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">February 2018</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:ETH-BIB-Bernoulli,_Daniel_(1700-1782)-Portrait-Portr_10971.tif_(cropped).jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/ETH-BIB-Bernoulli%2C_Daniel_%281700-1782%29-Portrait-Portr_10971.tif_%28cropped%29.jpg/220px-ETH-BIB-Bernoulli%2C_Daniel_%281700-1782%29-Portrait-Portr_10971.tif_%28cropped%29.jpg" decoding="async" width="220" height="312" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/ETH-BIB-Bernoulli%2C_Daniel_%281700-1782%29-Portrait-Portr_10971.tif_%28cropped%29.jpg/330px-ETH-BIB-Bernoulli%2C_Daniel_%281700-1782%29-Portrait-Portr_10971.tif_%28cropped%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/ETH-BIB-Bernoulli%2C_Daniel_%281700-1782%29-Portrait-Portr_10971.tif_%28cropped%29.jpg/440px-ETH-BIB-Bernoulli%2C_Daniel_%281700-1782%29-Portrait-Portr_10971.tif_%28cropped%29.jpg 2x" data-file-width="3184" data-file-height="4510" /></a><figcaption>Daniel Bernoulli</figcaption></figure> <p>His earliest mathematical work was the <i>Exercitationes</i> (<i>Mathematical Exercises</i>), published in 1724 with the help of <a href="/wiki/Christian_Goldbach" title="Christian Goldbach">Goldbach</a>. Two years later he pointed out for the first time the frequent desirability of resolving a compound motion into motions of translation and motion of rotation. His chief work is <i>Hydrodynamica</i>, published in 1738. It resembles <a href="/wiki/Joseph_Louis_Lagrange" class="mw-redirect" title="Joseph Louis Lagrange">Joseph Louis Lagrange</a>'s <i>Mécanique Analytique</i> in being arranged so that all the results are consequences of a single principle, namely, <a href="/wiki/Conservation_of_energy" title="Conservation of energy">conservation of energy</a>. This was followed by a memoir on the theory of the tides, to which, conjointly with the memoirs by Euler and <a href="/wiki/Colin_Maclaurin" title="Colin Maclaurin">Colin Maclaurin</a>, a prize was awarded by the <a href="/wiki/French_Academy" class="mw-redirect" title="French Academy">French Academy</a>: these three memoirs contain all that was done on this subject between the publication of <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a>'s <i><a href="/wiki/Philosophiae_Naturalis_Principia_Mathematica" class="mw-redirect" title="Philosophiae Naturalis Principia Mathematica">Philosophiae Naturalis Principia Mathematica</a></i> and the investigations of <a href="/wiki/Pierre-Simon_Laplace" title="Pierre-Simon Laplace">Pierre-Simon Laplace</a>. Bernoulli also wrote a large number of papers on various mechanical questions, especially on problems connected with <a href="/wiki/Vibrating_string" class="mw-redirect" title="Vibrating string">vibrating strings</a>, and the solutions given by <a href="/wiki/Brook_Taylor" title="Brook Taylor">Brook Taylor</a> and by <a href="/wiki/Jean_le_Rond_d%27Alembert" title="Jean le Rond d'Alembert">Jean le Rond d'Alembert</a>.<sup id="cite_ref-ball_7-1" class="reference"><a href="#cite_note-ball-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Hydrodynamica-2.jpg" class="mw-file-description" title="A 1738 copy of Bernoulli's Hydrodynamica"><img alt="Outer spine of Bernoulli's Hydrodynamica" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Hydrodynamica-2.jpg/80px-Hydrodynamica-2.jpg" decoding="async" width="80" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Hydrodynamica-2.jpg/120px-Hydrodynamica-2.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Hydrodynamica-2.jpg/160px-Hydrodynamica-2.jpg 2x" data-file-width="4000" data-file-height="6000" /></a></span></div> <div class="gallerytext">A 1738 copy of Bernoulli's <i>Hydrodynamica</i></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/File:Hydrodynamica-1.jpg" class="mw-file-description" title="First page of the first section of a 1738 copy of Hydrodynamica"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Hydrodynamica-1.jpg/91px-Hydrodynamica-1.jpg" decoding="async" width="91" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Hydrodynamica-1.jpg/136px-Hydrodynamica-1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Hydrodynamica-1.jpg/181px-Hydrodynamica-1.jpg 2x" data-file-width="3817" data-file-height="5044" /></a></span></div> <div class="gallerytext">First page of the first section of a 1738 copy of <i>Hydrodynamica</i></div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="Economics_and_statistics">Economics and statistics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=3" title="Edit section: Economics and statistics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In his 1738 book <i>Specimen theoriae novae de mensura sortis (Exposition of a New Theory on the Measurement of Risk)</i>,<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> Bernoulli offered a solution to the <a href="/wiki/St._Petersburg_paradox" title="St. Petersburg paradox">St. Petersburg paradox</a> as the basis of the economic theory of <a href="/wiki/Risk_aversion" title="Risk aversion">risk aversion</a>, <a href="/wiki/Risk_premium" title="Risk premium">risk premium</a>, and <a href="/wiki/Utility" title="Utility">utility</a>.<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> Bernoulli often noticed that when making decisions that involved some uncertainty, people did not always try to maximize their possible monetary gain, but rather tried to maximize "<a href="/wiki/Utility" title="Utility">utility</a>", an economic term encompassing their personal satisfaction and benefit. Bernoulli realized that for humans, there is a direct relationship between money gained and utility, but that it diminishes as the money gained increases. For example, to a person whose income is $10,000 per year, an additional $100 in income will provide more utility than it would to a person whose income is $50,000 per year.<sup id="cite_ref-FOOTNOTECooterUlen201644–45_17-0" class="reference"><a href="#cite_note-FOOTNOTECooterUlen201644–45-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> </p><p>One of the earliest attempts to analyze a statistical problem involving <a href="/wiki/Censoring_(statistics)" title="Censoring (statistics)">censored data</a> was Bernoulli's 1766 analysis of <a href="/wiki/Smallpox" title="Smallpox">smallpox</a> <a href="/wiki/Morbidity" class="mw-redirect" title="Morbidity">morbidity</a> and <a href="/wiki/Mortality_rate" title="Mortality rate">mortality</a> data to demonstrate the efficacy of <a href="/wiki/Inoculation" title="Inoculation">inoculation</a>.<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> </p> <div class="mw-heading mw-heading2"><h2 id="Physics">Physics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=4" title="Edit section: Physics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In <i>Hydrodynamica</i> (1738) he laid the basis for the <a href="/wiki/Kinetic_theory_of_gases" title="Kinetic theory of gases">kinetic theory of gases</a>, and applied the idea to explain <a href="/wiki/Boyle%27s_law" title="Boyle's law">Boyle's law</a>.<sup id="cite_ref-ball_7-2" class="reference"><a href="#cite_note-ball-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p><p>He worked with Euler on <a href="/wiki/Elasticity_(physics)" title="Elasticity (physics)">elasticity</a> and the development of the <a href="/wiki/Euler%E2%80%93Bernoulli_beam_equation" class="mw-redirect" title="Euler–Bernoulli beam equation">Euler–Bernoulli beam equation</a>.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Bernoulli%27s_principle" title="Bernoulli's principle">Bernoulli's principle</a> is of critical use in <a href="/wiki/Aerodynamics" title="Aerodynamics">aerodynamics</a>.<sup id="cite_ref-eb_13-1" class="reference"><a href="#cite_note-eb-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>According to <a href="/wiki/L%C3%A9on_Brillouin" title="Léon Brillouin">Léon Brillouin</a>, the <a href="/wiki/Superposition_principle" title="Superposition principle">principle of superposition</a> was first stated by Daniel Bernoulli in 1753: "The general motion of a vibrating system is given by a superposition of its proper vibrations."<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Works">Works</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=5" title="Edit section: Works"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Bernoulli,_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737,_1737_%E2%80%93_BEIC_1285085.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Bernoulli%2C_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737%2C_1737_%E2%80%93_BEIC_1285085.jpg/220px-Bernoulli%2C_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737%2C_1737_%E2%80%93_BEIC_1285085.jpg" decoding="async" width="220" height="267" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/80/Bernoulli%2C_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737%2C_1737_%E2%80%93_BEIC_1285085.jpg/330px-Bernoulli%2C_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737%2C_1737_%E2%80%93_BEIC_1285085.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/80/Bernoulli%2C_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737%2C_1737_%E2%80%93_BEIC_1285085.jpg/440px-Bernoulli%2C_Daniel_%E2%80%93_Pieces_qui_ont_remport%C3%A9_le_Prix_double_de_l%27Academie_royale_des_sciences_en_1737%2C_1737_%E2%80%93_BEIC_1285085.jpg 2x" data-file-width="1021" data-file-height="1240" /></a><figcaption><i>Pieces qui ont remporté le Prix double de l'Academie royale des sciences en 1737</i></figcaption></figure> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation book cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://gutenberg.beic.it/webclient/DeliveryManager?pid=1285085"><i>Pieces qui ont remporté le Prix double de l'Academie royale des sciences en 1737</i></a> (in French). Paris: Imprimerie Royale. 1737.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pieces+qui+ont+remport%C3%A9+le+Prix+double+de+l%27Academie+royale+des+sciences+en+1737&rft.place=Paris&rft.pub=Imprimerie+Royale&rft.date=1737&rft_id=https%3A%2F%2Fgutenberg.beic.it%2Fwebclient%2FDeliveryManager%3Fpid%3D1285085&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Legacy">Legacy</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=6" title="Edit section: Legacy"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 2002, Bernoulli was inducted into the <a href="/wiki/International_Air_%26_Space_Hall_of_Fame" title="International Air & Space Hall of Fame">International Air & Space Hall of Fame</a> at the <a href="/wiki/San_Diego_Air_%26_Space_Museum" title="San Diego Air & Space Museum">San Diego Air & Space Museum</a>.<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=7" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Hydrodynamica" title="Hydrodynamica">Hydrodynamica</a></li> <li><a href="/wiki/Mathematical_modelling_of_infectious_diseases" title="Mathematical modelling of infectious diseases">Mathematical modelling of infectious diseases</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=8" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Footnotes">Footnotes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=9" title="Edit section: Footnotes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.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 reflist-columns references-column-width" style="column-width: 25em;"> <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">Mangold, Max (1990). <i>Duden — Das Aussprachewörterbuch</i>. 3. Auflage. Mannheim/Wien/Zürich, Dudenverlag.</span> </li> <li id="cite_note-NNDB-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-NNDB_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-NNDB_2-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.nndb.com/people/776/000159299/">"Daniel Bernoulli"</a>. <i>Notable Names Database</i><span class="reference-accessdate">. Retrieved <span class="nowrap">14 October</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Notable+Names+Database&rft.atitle=Daniel+Bernoulli&rft_id=https%3A%2F%2Fwww.nndb.com%2Fpeople%2F776%2F000159299%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAnders_Hald2005" class="citation book cs1">Anders Hald (2005). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=pOQy6-qnVx8C&pg=PA6"><i>A History of Probability and Statistics and Their Applications before 1750</i></a>. John Wiley & Sons. p. 6. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9780471725176" title="Special:BookSources/9780471725176"><bdi>9780471725176</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+History+of+Probability+and+Statistics+and+Their+Applications+before+1750&rft.pages=6&rft.pub=John+Wiley+%26+Sons&rft.date=2005&rft.isbn=9780471725176&rft.au=Anders+Hald&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DpOQy6-qnVx8C%26pg%3DPA6&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRichard_W._Johnson2016" class="citation book cs1">Richard W. Johnson (2016). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=TQfYCwAAQBAJ&pg=SA2-PA5"><i>Handbook of Fluid Dynamics</i></a>. CRC Press. pp. <span class="nowrap">2-5 –</span> <span class="nowrap">2-6</span>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781439849576" title="Special:BookSources/9781439849576"><bdi>9781439849576</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Handbook+of+Fluid+Dynamics&rft.pages=%3Cspan+class%3D%22nowrap%22%3E2-5+-%3C%2Fspan%3E+%3Cspan+class%3D%22nowrap%22%3E2-6%3C%2Fspan%3E&rft.pub=CRC+Press&rft.date=2016&rft.isbn=9781439849576&rft.au=Richard+W.+Johnson&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DTQfYCwAAQBAJ%26pg%3DSA2-PA5&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFDale_AndersonIan_GrahamBrian_Williams2010" class="citation book cs1">Dale Anderson; Ian Graham; Brian Williams (2010). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=LvsvCgAAQBAJ&pg=PA143"><i>Flight and Motion: The History and Science of Flying</i></a>. Routledge. p. 143. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781317470427" title="Special:BookSources/9781317470427"><bdi>9781317470427</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Flight+and+Motion%3A+The+History+and+Science+of+Flying&rft.pages=143&rft.pub=Routledge&rft.date=2010&rft.isbn=9781317470427&rft.au=Dale+Anderson&rft.au=Ian+Graham&rft.au=Brian+Williams&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DLvsvCgAAQBAJ%26pg%3DPA143&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-Rothbard-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-Rothbard_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Rothbard_6-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="/wiki/Murray_Rothbard" title="Murray Rothbard">Rothbard, Murray</a>. <a rel="nofollow" class="external text" href="https://mises.org/daily/4941/Daniel-Bernoulli-and-the-Founding-of-Mathematical-Economics">Daniel Bernoulli and the Founding of Mathematical Economics</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130728151840/http://mises.org/daily/4941/Daniel-Bernoulli-and-the-Founding-of-Mathematical-Economics">Archived</a> 28 July 2013 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, <i><a href="/wiki/Mises_Institute" title="Mises Institute">Mises Institute</a></i> (excerpted from <i><a href="/wiki/An_Austrian_Perspective_on_the_History_of_Economic_Thought" title="An Austrian Perspective on the History of Economic Thought">An Austrian Perspective on the History of Economic Thought</a></i>)</span> </li> <li id="cite_note-ball-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-ball_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ball_7-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-ball_7-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFRouse_Ball2003" class="citation book cs1"><a href="/wiki/W._W._Rouse_Ball" title="W. W. Rouse Ball">Rouse Ball, W. W.</a> (2003) [1908]. <a rel="nofollow" class="external text" href="http://www.maths.tcd.ie/pub/HistMath/People/Bernoullis/RouseBall/RB_Bernoullis.html">"The Bernoullis"</a>. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/shortaccountofhi0000ball"><i>A Short Account of the History of Mathematics</i></a></span> (4th ed.). Dover. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-20630-0" title="Special:BookSources/0-486-20630-0"><bdi>0-486-20630-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Bernoullis&rft.btitle=A+Short+Account+of+the+History+of+Mathematics&rft.edition=4th&rft.pub=Dover&rft.date=2003&rft.isbn=0-486-20630-0&rft.aulast=Rouse+Ball&rft.aufirst=W.+W.&rft_id=http%3A%2F%2Fwww.maths.tcd.ie%2Fpub%2FHistMath%2FPeople%2FBernoullis%2FRouseBall%2FRB_Bernoullis.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-mactutor-8"><span class="mw-cite-backlink">^ <a href="#cite_ref-mactutor_8-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-mactutor_8-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-mactutor_8-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFO'ConnorRobertson" class="citation cs2">O'Connor, John J.; <a href="/wiki/Edmund_F._Robertson" class="mw-redirect" title="Edmund F. Robertson">Robertson, Edmund F.</a>, <a rel="nofollow" class="external text" href="https://mathshistory.st-andrews.ac.uk/Biographies/Bernoulli_Daniel.html">"Daniel Bernoulli"</a>, <i><a href="/wiki/MacTutor_History_of_Mathematics_Archive" title="MacTutor History of Mathematics Archive">MacTutor History of Mathematics Archive</a></i>, <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Daniel+Bernoulli&rft.btitle=MacTutor+History+of+Mathematics+Archive&rft.pub=University+of+St+Andrews&rft.aulast=O%27Connor&rft.aufirst=John+J.&rft.au=Robertson%2C+Edmund+F.&rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FBernoulli_Daniel.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span> (1998)</span> </li> <li id="cite_note-andhist-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-andhist_9-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFAnderson,_John_David1997" class="citation book cs1">Anderson, John David (1997). <i>A History of Aerodynamics and its Impact on Flying Machines</i>. New York, NY: Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-521-45435-2" title="Special:BookSources/0-521-45435-2"><bdi>0-521-45435-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+History+of+Aerodynamics+and+its+Impact+on+Flying+Machines&rft.place=New+York%2C+NY&rft.pub=Cambridge+University+Press&rft.date=1997&rft.isbn=0-521-45435-2&rft.au=Anderson%2C+John+David&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFCalinger1996" class="citation journal cs1">Calinger, Ronald (1996). <a rel="nofollow" class="external text" href="https://core.ac.uk/download/pdf/82068344.pdf">"Leonhard Euler: The First St. Petersburg Years (1727–1741)"</a> <span class="cs1-format">(PDF)</span>. <i>Historia Mathematica</i>. <b>23</b> (2): <span class="nowrap">121–</span>166. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1006%2Fhmat.1996.0015">10.1006/hmat.1996.0015</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20190328192941/https://core.ac.uk/download/pdf/82068344.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 28 March 2019.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Historia+Mathematica&rft.atitle=Leonhard+Euler%3A+The+First+St.+Petersburg+Years+%281727%E2%80%931741%29&rft.volume=23&rft.issue=2&rft.pages=%3Cspan+class%3D%22nowrap%22%3E121-%3C%2Fspan%3E166&rft.date=1996&rft_id=info%3Adoi%2F10.1006%2Fhmat.1996.0015&rft.aulast=Calinger&rft.aufirst=Ronald&rft_id=https%3A%2F%2Fcore.ac.uk%2Fdownload%2Fpdf%2F82068344.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></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">Calinger, Ronald (1996).p.127</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">Calinger, Ronald (1996), pp.127–128</span> </li> <li id="cite_note-eb-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-eb_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-eb_13-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">[Anon.] (2001) "Daniel Bernoulli", <i><a href="/wiki/Encyclop%C3%A6dia_Britannica" title="Encyclopædia Britannica">Encyclopædia Britannica</a></i></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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www2.royalsociety.org/DServe/dserve.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqCmd=Show.tcl&dsqDb=Persons&dsqPos=0&dsqSearch=%28Surname%3D%27bernoulli%27%29">"Library and Archive Catalogue"</a>. Royal Society<span class="reference-accessdate">. Retrieved <span class="nowrap">13 December</span> 2010</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Library+and+Archive+Catalogue&rft.pub=Royal+Society&rft_id=http%3A%2F%2Fwww2.royalsociety.org%2FDServe%2Fdserve.exe%3FdsqIni%3DDserve.ini%26dsqApp%3DArchive%26dsqCmd%3DShow.tcl%26dsqDb%3DPersons%26dsqPos%3D0%26dsqSearch%3D%2528Surname%253D%2527bernoulli%2527%2529&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged December 2016">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></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">English translation in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBernoulli1954" class="citation journal cs1">Bernoulli, D. (1954). <a rel="nofollow" class="external text" href="http://www.econ.ucsb.edu/~tedb/Courses/GraduateTheoryUCSB/Bernoulli.pdf">"Exposition of a New Theory on the Measurement of Risk"</a> <span class="cs1-format">(PDF)</span>. <i>Econometrica</i>. <b>22</b> (1): <span class="nowrap">23–</span>36. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F1909829">10.2307/1909829</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/1909829">1909829</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:9165746">9165746</a>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080513060618/http://www.econ.ucsb.edu/~tedb/Courses/GraduateTheoryUCSB/Bernoulli.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 13 May 2008.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Econometrica&rft.atitle=Exposition+of+a+New+Theory+on+the+Measurement+of+Risk&rft.volume=22&rft.issue=1&rft.pages=%3Cspan+class%3D%22nowrap%22%3E23-%3C%2Fspan%3E36&rft.date=1954&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A9165746%23id-name%3DS2CID&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F1909829%23id-name%3DJSTOR&rft_id=info%3Adoi%2F10.2307%2F1909829&rft.aulast=Bernoulli&rft.aufirst=D.&rft_id=http%3A%2F%2Fwww.econ.ucsb.edu%2F~tedb%2FCourses%2FGraduateTheoryUCSB%2FBernoulli.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></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"><a href="/wiki/Stanford_Encyclopedia_of_Philosophy" title="Stanford Encyclopedia of Philosophy">Stanford Encyclopedia of Philosophy</a>: "<a rel="nofollow" class="external text" href="http://plato.stanford.edu/entries/paradox-stpetersburg/">The St. Petersburg Paradox</a> by R. M. Martin</span> </li> <li id="cite_note-FOOTNOTECooterUlen201644–45-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECooterUlen201644–45_17-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCooterUlen2016">Cooter & Ulen (2016)</a>, pp. 44–45.</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">reprinted in <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBlowerBernoulli2004" class="citation journal cs1">Blower, S; Bernoulli, D (2004). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070927032605/http://www.semel.ucla.edu/biomedicalmodeling/pdf/Bernoulli%26Blower.pdf">"An attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it"</a> <span class="cs1-format">(PDF)</span>. <i>Reviews in Medical Virology</i>. <b>14</b> (5): <span class="nowrap">275–</span>88. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Frmv.443">10.1002/rmv.443</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/15334536">15334536</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:8169180">8169180</a>. Archived from <a rel="nofollow" class="external text" href="http://www.semel.ucla.edu/biomedicalmodeling/pdf/Bernoulli&Blower.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 27 September 2007.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Reviews+in+Medical+Virology&rft.atitle=An+attempt+at+a+new+analysis+of+the+mortality+caused+by+smallpox+and+of+the+advantages+of+inoculation+to+prevent+it&rft.volume=14&rft.issue=5&rft.pages=%3Cspan+class%3D%22nowrap%22%3E275-%3C%2Fspan%3E88&rft.date=2004&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A8169180%23id-name%3DS2CID&rft_id=info%3Apmid%2F15334536&rft_id=info%3Adoi%2F10.1002%2Frmv.443&rft.aulast=Blower&rft.aufirst=S&rft.au=Bernoulli%2C+D&rft_id=http%3A%2F%2Fwww.semel.ucla.edu%2Fbiomedicalmodeling%2Fpdf%2FBernoulli%26Blower.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFTimoshenko,_S._P.1983" class="citation book cs1"><a href="/wiki/Stephen_Timoshenko" title="Stephen Timoshenko">Timoshenko, S. P.</a> (1983) [1953]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=tkScQmyhsb8C"><i>History of Strength of Materials</i></a>. New York: Dover. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-61187-6" title="Special:BookSources/0-486-61187-6"><bdi>0-486-61187-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=History+of+Strength+of+Materials&rft.place=New+York&rft.pub=Dover&rft.date=1983&rft.isbn=0-486-61187-6&rft.au=Timoshenko%2C+S.+P.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DtkScQmyhsb8C&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</a></b></span> <span class="reference-text"><a href="/wiki/L%C3%A9on_Brillouin" title="Léon Brillouin">Brillouin, L.</a> (1946). <i>Wave propagation in Periodic Structures: Electric Filters and Crystal Lattices</i>, McGraw–Hill, New York, p. 2.</span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-21">^</a></b></span> <span class="reference-text">Sprekelmeyer, Linda, editor. <i>These We Honor: The International Aerospace Hall of Fame</i>. Donning Co. Publishers, 2006. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-57864-397-4" title="Special:BookSources/978-1-57864-397-4">978-1-57864-397-4</a>.</span> </li> </ol></div> <div class="mw-heading mw-heading3"><h3 id="Works_cited">Works cited</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=10" title="Edit section: Works cited"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239549316">.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 refbegin-columns references-column-width" style="column-width: 35em"> <ul><li>(Original entry based on the <a href="/wiki/Public_domain" title="Public domain">public domain</a> <a href="/wiki/Rouse_History_of_Mathematics" class="mw-redirect" title="Rouse History of Mathematics">Rouse History of Mathematics</a><i>)</i></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFChisholm1911" class="citation encyclopaedia cs1"><a href="/wiki/Hugh_Chisholm" title="Hugh Chisholm">Chisholm, Hugh</a>, ed. (1911). <span class="cs1-ws-icon" title="s:1911 Encyclopædia Britannica/Bernoulli"><a class="external text" href="https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica/Bernoulli">"Bernoulli § V. Daniel Bernoulli" </a></span>. <i><a href="/wiki/Encyclop%C3%A6dia_Britannica_Eleventh_Edition" title="Encyclopædia Britannica Eleventh Edition">Encyclopædia Britannica</a></i>. Vol. 3 (11th ed.). Cambridge University Press. p. 805.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Bernoulli+%C2%A7+V.+Daniel+Bernoulli&rft.btitle=Encyclop%C3%A6dia+Britannica&rft.pages=805&rft.edition=11th&rft.pub=Cambridge+University+Press&rft.date=1911&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFCardwell,_D.S.L.1971" class="citation book cs1">Cardwell, D.S.L. (1971). <i>From Watt to Clausius: The Rise of Thermodynamics in the Early Industrial Age</i>. Heinemann: London. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-435-54150-1" title="Special:BookSources/0-435-54150-1"><bdi>0-435-54150-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=From+Watt+to+Clausius%3A+The+Rise+of+Thermodynamics+in+the+Early+Industrial+Age&rft.place=Heinemann&rft.pub=London&rft.date=1971&rft.isbn=0-435-54150-1&rft.au=Cardwell%2C+D.S.L.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFCooterUlen2016" class="citation book cs1"><a href="/wiki/Robert_Cooter" title="Robert Cooter">Cooter, Robert</a>; <a href="/wiki/Thomas_Ulen" title="Thomas Ulen">Ulen, Thomas</a> (2016). <a rel="nofollow" class="external text" href="http://scholarship.law.berkeley.edu/books/2/"><i>Law & Economics</i></a>. Berkeley Law Books (6th ed.). Berkeley: Addison-Wesley. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-13-254065-0" title="Special:BookSources/978-0-13-254065-0"><bdi>978-0-13-254065-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Law+%26+Economics&rft.place=Berkeley&rft.series=Berkeley+Law+Books&rft.edition=6th&rft.pub=Addison-Wesley&rft.date=2016&rft.isbn=978-0-13-254065-0&rft.aulast=Cooter&rft.aufirst=Robert&rft.au=Ulen%2C+Thomas&rft_id=http%3A%2F%2Fscholarship.law.berkeley.edu%2Fbooks%2F2%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFMikhailov2005" class="citation book cs1">Mikhailov, G.K. (2005). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=UdGBy8iLpocC&pg=PA131">"Hydrodynamica"</a>. In <a href="/wiki/Ivor_Grattan-Guinness" title="Ivor Grattan-Guinness">Grattan-Guinness, Ivor</a> (ed.). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=UdGBy8iLpocC"><i>Landmark Writings in Western Mathematics 1640–1940</i></a>. Elsevier. pp. <span class="nowrap">131–</span>42. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-08-045744-4" title="Special:BookSources/978-0-08-045744-4"><bdi>978-0-08-045744-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Hydrodynamica&rft.btitle=Landmark+Writings+in+Western+Mathematics+1640%E2%80%931940&rft.pages=%3Cspan+class%3D%22nowrap%22%3E131-%3C%2Fspan%3E42&rft.pub=Elsevier&rft.date=2005&rft.isbn=978-0-08-045744-4&rft.aulast=Mikhailov&rft.aufirst=G.K.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DUdGBy8iLpocC%26pg%3DPA131&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPaceyFisher1967" class="citation journal cs1">Pacey, A. J.; Fisher, S. J. (December 1967). <a rel="nofollow" class="external text" href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2904748&fulltextType=XX&fileId=S0007087400002934">"Daniel Bernoulli and the <i>vis viva</i> of compressed air"</a>. <i>British Journal for the History of Science</i>. <b>3</b> (4): <span class="nowrap">388–</span>392. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1017%2FS0007087400002934">10.1017/S0007087400002934</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:145513749">145513749</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=British+Journal+for+the+History+of+Science&rft.atitle=Daniel+Bernoulli+and+the+vis+viva+of+compressed+air&rft.volume=3&rft.issue=4&rft.pages=%3Cspan+class%3D%22nowrap%22%3E388-%3C%2Fspan%3E392&rft.date=1967-12&rft_id=info%3Adoi%2F10.1017%2FS0007087400002934&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A145513749%23id-name%3DS2CID&rft.aulast=Pacey&rft.aufirst=A.+J.&rft.au=Fisher%2C+S.+J.&rft_id=http%3A%2F%2Fjournals.cambridge.org%2Faction%2FdisplayAbstract%3FfromPage%3Donline%26aid%3D2904748%26fulltextType%3DXX%26fileId%3DS0007087400002934&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFStraub1970" class="citation encyclopaedia cs1">Straub, Hans (1970). "Bernoulli, Daniel". <i><a href="/wiki/Dictionary_of_Scientific_Biography" title="Dictionary of Scientific Biography">Dictionary of Scientific Biography</a></i>. Vol. 2. New York: Charles Scribner's Sons. pp. <span class="nowrap">36–</span>46. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-684-10114-9" title="Special:BookSources/0-684-10114-9"><bdi>0-684-10114-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Bernoulli%2C+Daniel&rft.btitle=Dictionary+of+Scientific+Biography&rft.place=New+York&rft.pages=%3Cspan+class%3D%22nowrap%22%3E36-%3C%2Fspan%3E46&rft.pub=Charles+Scribner%27s+Sons&rft.date=1970&rft.isbn=0-684-10114-9&rft.aulast=Straub&rft.aufirst=Hans&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Daniel_Bernoulli&action=edit&section=11" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.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:var(--background-color-interactive-subtle,#f8f9fa);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;min-width:0}}@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><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.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-image"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/60px-Commons-logo.svg.png 1.5x" data-file-width="1024" data-file-height="1376" /></a></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; 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Archived from <a rel="nofollow" class="external text" href="http://www.mathematik.ch/mathematiker/daniel_bernoulli.php">the original</a> on 23 October 2015<span class="reference-accessdate">. Retrieved <span class="nowrap">7 September</span> 2007</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Mathematik.ch&rft.atitle=Bernoulli+Daniel&rft_id=http%3A%2F%2Fwww.mathematik.ch%2Fmathematiker%2Fdaniel_bernoulli.php&rfr_id=info%3Asid%2Fen.wikipedia.org%3ADaniel+Bernoulli" class="Z3988"></span></li> <li><a href="/wiki/Murray_Rothbard" title="Murray Rothbard">Rothbard, Murray</a>. <a rel="nofollow" class="external text" href="https://mises.org/daily/4941/Daniel-Bernoulli-and-the-Founding-of-Mathematical-Economics">Daniel Bernoulli and the Founding of Mathematical Economics</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130728151840/http://mises.org/daily/4941/Daniel-Bernoulli-and-the-Founding-of-Mathematical-Economics">Archived</a> 28 July 2013 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, <i><a href="/wiki/Mises_Institute" title="Mises Institute">Mises Institute</a></i> (excerpted from <i><a href="/wiki/An_Austrian_Perspective_on_the_History_of_Economic_Thought" title="An Austrian Perspective on the History of Economic Thought">An Austrian Perspective on the History of Economic Thought</a></i>)</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWeisstein" class="citation web cs1"><a href="/wiki/Eric_Wolfgang_Weisstein" class="mw-redirect" title="Eric Wolfgang Weisstein">Weisstein, Eric Wolfgang</a> (ed.). <a rel="nofollow" class="external text" href="http://scienceworld.wolfram.com/biography/BernoulliDaniel.html">"Bernoulli, Daniel (1700–1782)"</a>. <i><a href="/wiki/ScienceWorld" class="mw-redirect" title="ScienceWorld">ScienceWorld</a></i>.</cite><span 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style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus Bernoulli <br />(1623–1708)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Jacob_Bernoulli" title="Jacob Bernoulli">Jacob Bernoulli</a> <br />(1654–1705)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus Bernoulli <br />(1662–1716)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Johann_Bernoulli" title="Johann Bernoulli">Johann Bernoulli</a> <br />(1667–1748)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td rowspan="2" style="border-right:1px solid;height:2em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Nicolaus_I_Bernoulli" title="Nicolaus I Bernoulli">Nicolaus I Bernoulli</a> <br />(1687–1759)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Nicolaus_II_Bernoulli" title="Nicolaus II Bernoulli">Nicolaus II Bernoulli</a> <br />(1695–1726)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a class="mw-selflink selflink">Daniel Bernoulli</a> <br />(1700–1782)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Johann_II_Bernoulli" title="Johann II Bernoulli">Johann II Bernoulli</a> <br />(1710–1790)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Johann_III_Bernoulli" title="Johann III Bernoulli">Johann III Bernoulli</a> <br />(1744–1807)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Daniel II Bernoulli <br />(1751–1834)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus IV Bernoulli <br />(1754–1841)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Jakob_II_Bernoulli" title="Jakob II Bernoulli">Jakob II Bernoulli</a> <br />(1759–1789)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td rowspan="2" style="border-right:1px solid;height:2em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus <br />(1793–1876)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Fritz <br />(1824–1913)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Theodor <br />(1837–1909)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td rowspan="2" style="border-right:1px solid;height:2em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Hermann_Hesse" title="Hermann Hesse">Hermann Hesse</a> <br />(1877–1962)</td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Maria_Bernoulli" class="mw-redirect" title="Maria Bernoulli">Maria Bernoulli</a><span class="noprint" style="font-size:85%; font-style: normal;"> [<a href="https://de.wikipedia.org/wiki/Mia_Hesse-Bernoulli" class="extiw" title="de:Mia Hesse-Bernoulli">de</a>]</span> <br />(1868–1963)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Elisabeth_Bernoulli" title="Elisabeth Bernoulli">Elisabeth Bernoulli</a> <br />(1873–1935)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Hans_Benno_Bernoulli" title="Hans Benno Bernoulli">Hans Benno Bernoulli</a> <br />(1876–1959)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td colspan="2" style="height:1em;width:2em"></td></tr> </tbody></table></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q122366#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata3497" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q122366#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata3497" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q122366#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, 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style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/118656503">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n50007698">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb122991859">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb122991859">BnF data</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Bernoulli, Daniel"><a rel="nofollow" class="external text" href="https://opac.sbn.it/nome/CFIV027402">Italy</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ola2002152849&CON_LNG=ENG">Czech Republic</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&authority_id=XX1612501">Spain</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p069386838">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90328905">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://kopkatalogs.lv/F?func=direct&local_base=lnc10&doc_number=000073725&P_CON_LNG=ENG">Latvia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://libris.kb.se/khwzznz327wsqj5">Sweden</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dbn.bn.org.pl/descriptor-details/9810556458205606">Poland</a></span></li><li><span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=8034&url_prefix=https://opac.vatlib.it/auth/detail/&id=495/106257">Vatican</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.nli.org.il/en/authorities/987007258680905171">Israel</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://cantic.bnc.cat/registre/981058513369506706">Catalonia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://opac.kbr.be/LIBRARY/doc/AUTHORITY/16937136">Belgium</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA01056918?l=en">CiNii</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=108998">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:bernoulli.daniel">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/35680">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="http://www.biografischportaal.nl/en/persoon/30303734">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-biographie.de/118656503.html?language=en">Deutsche Biographie</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-digitale-bibliothek.de/person/gnd/118656503">DDB</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/031854338">IdRef</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://hls-dhs-dss.ch/fr/articles/014283">Historical Dictionary of Switzerland</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://snaccooperative.org/ark:/99166/w6zg9cr5">SNAC</a></span></li></ul></div></td></tr></tbody></table></div>    </div><noscript><img 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