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गणितीय भौतिकी - विकिपीडिया
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for="vector-appearance-dropdown-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">दिखावट</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hi.wikipedia.org&uselang=hi" class=""><span>दान करें</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF+%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है" class=""><span>खाता बनाएँ</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF+%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o" class=""><span>लॉग-इन करें</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="अन्य विकल्प" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="व्यक्तिगत उपकरण" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">व्यक्तिगत उपकरण</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hi.wikipedia.org&uselang=hi"><span>दान करें</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF+%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>खाता बनाएँ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF+%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>लॉग-इन करें</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> लॉग-आउट किए गए संपादकों के लिए पृष्ठ <a href="/wiki/%E0%A4%B8%E0%A4%B9%E0%A4%BE%E0%A4%AF%E0%A4%A4%E0%A4%BE:%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%9A%E0%A4%AF" aria-label="संपादन के बारे में अधिक जानें"><span>अधिक जानें</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%87_%E0%A4%AF%E0%A5%8B%E0%A4%97%E0%A4%A6%E0%A4%BE%E0%A4%A8" title="इस आईपी पते से संपादन की सूची [y]" accesskey="y"><span>योगदान</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%80_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE" title="इस आईपी एड्रेससे हुए बदलावों के बारे में वार्ता [n]" accesskey="n"><span>वार्ता</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="साइट"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="सामग्री" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">सामग्री</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">छुपाएँ</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">शुरुआत</div> </a> </li> <li id="toc-विषय-क्षेत्र_(scope)" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#विषय-क्षेत्र_(scope)"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>विषय-क्षेत्र (scope)</span> </div> </a> <ul id="toc-विषय-क्षेत्र_(scope)-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="सामग्री" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="विषयसूची को टॉगल करें" > <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">विषयसूची को टॉगल करें</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">गणितीय भौतिकी</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="दूसरे भाषा में लेख पर जाएँ। 63 भाषाओं में उपलब्ध" > <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-63" 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">63 भाषाएँ</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A9" title="فيزياء رياضية – अरबी" lang="ar" hreflang="ar" data-title="فيزياء رياضية" data-language-autonym="العربية" data-language-local-name="अरबी" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Riyazi_fizika" title="Riyazi fizika – अज़रबैजानी" lang="az" hreflang="az" data-title="Riyazi fizika" data-language-autonym="Azərbaycanca" data-language-local-name="अज़रबैजानी" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D1%87%D0%BD%D0%B0%D1%8F_%D1%84%D1%96%D0%B7%D1%96%D0%BA%D0%B0" title="Матэматычная фізіка – बेलारूसी" lang="be" hreflang="be" data-title="Матэматычная фізіка" data-language-autonym="Беларуская" data-language-local-name="बेलारूसी" 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%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математическа физика – बुल्गारियाई" lang="bg" hreflang="bg" data-title="Математическа физика" data-language-autonym="Български" data-language-local-name="बुल्गारियाई" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%BE%E0%A6%A3%E0%A6%BF%E0%A6%A4%E0%A6%BF%E0%A6%95_%E0%A6%AA%E0%A6%A6%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8D%E0%A6%9E%E0%A6%BE%E0%A6%A8" title="গাণিতিক পদার্থবিজ্ঞান – बंगाली" lang="bn" hreflang="bn" data-title="গাণিতিক পদার্থবিজ্ঞান" data-language-autonym="বাংলা" data-language-local-name="बंगाली" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/F%C3%ADsica_matem%C3%A0tica" title="Física matemàtica – कातालान" lang="ca" hreflang="ca" data-title="Física matemàtica" data-language-autonym="Català" data-language-local-name="कातालान" 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/Matematick%C3%A1_fyzika" title="Matematická fyzika – चेक" lang="cs" hreflang="cs" data-title="Matematická fyzika" data-language-autonym="Čeština" data-language-local-name="चेक" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%C4%83%D0%BB%D0%BB%D0%B0_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математикăлла физика – चूवाश" lang="cv" hreflang="cv" data-title="Математикăлла физика" data-language-autonym="Чӑвашла" data-language-local-name="चूवाश" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Matematisk_fysik" title="Matematisk fysik – डेनिश" lang="da" hreflang="da" data-title="Matematisk fysik" data-language-autonym="Dansk" data-language-local-name="डेनिश" 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/Mathematische_Physik" title="Mathematische Physik – जर्मन" lang="de" hreflang="de" data-title="Mathematische Physik" data-language-autonym="Deutsch" data-language-local-name="जर्मन" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AE_%CF%86%CF%85%CF%83%CE%B9%CE%BA%CE%AE" title="Μαθηματική φυσική – यूनानी" lang="el" hreflang="el" data-title="Μαθηματική φυσική" data-language-autonym="Ελληνικά" data-language-local-name="यूनानी" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mathematical_physics" title="Mathematical physics – अंग्रेज़ी" lang="en" hreflang="en" data-title="Mathematical physics" data-language-autonym="English" data-language-local-name="अंग्रेज़ी" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Matematika_fiziko" title="Matematika fiziko – एस्पेरेंतो" lang="eo" hreflang="eo" data-title="Matematika fiziko" data-language-autonym="Esperanto" data-language-local-name="एस्पेरेंतो" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/F%C3%ADsica_matem%C3%A1tica" title="Física matemática – स्पेनिश" lang="es" hreflang="es" data-title="Física matemática" data-language-autonym="Español" data-language-local-name="स्पेनिश" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Matemaatiline_f%C3%BC%C3%BCsika" title="Matemaatiline füüsika – एस्टोनियाई" lang="et" hreflang="et" data-title="Matemaatiline füüsika" data-language-autonym="Eesti" data-language-local-name="एस्टोनियाई" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Fisika_matematiko" title="Fisika matematiko – बास्क" lang="eu" hreflang="eu" data-title="Fisika matematiko" data-language-autonym="Euskara" data-language-local-name="बास्क" 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%B1%DB%8C%D8%A7%D8%B6%DB%8C_%D9%81%DB%8C%D8%B2%DB%8C%DA%A9" title="ریاضی فیزیک – फ़ारसी" lang="fa" hreflang="fa" data-title="ریاضی فیزیک" data-language-autonym="فارسی" data-language-local-name="फ़ारसी" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Matemaattinen_fysiikka" title="Matemaattinen fysiikka – फ़िनिश" lang="fi" hreflang="fi" data-title="Matemaattinen fysiikka" data-language-autonym="Suomi" data-language-local-name="फ़िनिश" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Physique_math%C3%A9matique" title="Physique mathématique – फ़्रेंच" lang="fr" hreflang="fr" data-title="Physique mathématique" data-language-autonym="Français" data-language-local-name="फ़्रेंच" 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/Fisic_mhatamaitici%C3%BAil" title="Fisic mhatamaiticiúil – आयरिश" lang="ga" hreflang="ga" data-title="Fisic mhatamaiticiúil" data-language-autonym="Gaeilge" data-language-local-name="आयरिश" 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/F%C3%ADsica_matem%C3%A1tica" title="Física matemática – गैलिशियन" lang="gl" hreflang="gl" data-title="Física matemática" data-language-autonym="Galego" data-language-local-name="गैलिशियन" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%99%D7%96%D7%99%D7%A7%D7%94_%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%AA" title="פיזיקה מתמטית – हिब्रू" lang="he" hreflang="he" data-title="פיזיקה מתמטית" data-language-autonym="עברית" data-language-local-name="हिब्रू" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Matemati%C4%8Dka_fizika" title="Matematička fizika – क्रोएशियाई" lang="hr" hreflang="hr" data-title="Matematička fizika" data-language-autonym="Hrvatski" data-language-local-name="क्रोएशियाई" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1%D5%AF%D5%A1%D5%B6_%D6%86%D5%AB%D5%A6%D5%AB%D5%AF%D5%A1" title="Մաթեմատիկական ֆիզիկա – आर्मेनियाई" lang="hy" hreflang="hy" data-title="Մաթեմատիկական ֆիզիկա" data-language-autonym="Հայերեն" data-language-local-name="आर्मेनियाई" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Fisika_matematis" title="Fisika matematis – इंडोनेशियाई" lang="id" hreflang="id" data-title="Fisika matematis" data-language-autonym="Bahasa Indonesia" data-language-local-name="इंडोनेशियाई" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Fisica_matematica" title="Fisica matematica – इतालवी" lang="it" hreflang="it" data-title="Fisica matematica" data-language-autonym="Italiano" data-language-local-name="इतालवी" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%95%B0%E7%90%86%E7%89%A9%E7%90%86%E5%AD%A6" title="数理物理学 – जापानी" lang="ja" hreflang="ja" data-title="数理物理学" data-language-autonym="日本語" data-language-local-name="जापानी" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A4%E1%83%98%E1%83%96%E1%83%98%E1%83%99%E1%83%90" title="მათემატიკური ფიზიკა – जॉर्जियाई" lang="ka" hreflang="ka" data-title="მათემატიკური ფიზიკა" data-language-autonym="ქართული" data-language-local-name="जॉर्जियाई" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D2%9B_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математикалық физика – कज़ाख़" lang="kk" hreflang="kk" data-title="Математикалық физика" data-language-autonym="Қазақша" data-language-local-name="कज़ाख़" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4_%E0%B2%AD%E0%B3%8C%E0%B2%A4%E0%B2%B5%E0%B2%BF%E0%B2%9C%E0%B3%8D%E0%B2%9E%E0%B2%BE%E0%B2%A8" title="ಗಣಿತ ಭೌತವಿಜ್ಞಾನ – कन्नड़" lang="kn" hreflang="kn" data-title="ಗಣಿತ ಭೌತವಿಜ್ಞಾನ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="कन्नड़" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%88%98%EB%A6%AC%EB%AC%BC%EB%A6%AC%ED%95%99" title="수리물리학 – कोरियाई" lang="ko" hreflang="ko" data-title="수리물리학" data-language-autonym="한국어" data-language-local-name="कोरियाई" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математикалык физика – किर्गीज़" lang="ky" hreflang="ky" data-title="Математикалык физика" data-language-autonym="Кыргызча" data-language-local-name="किर्गीज़" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Mathematesch_Physik" title="Mathematesch Physik – लग्ज़मबर्गी" lang="lb" hreflang="lb" data-title="Mathematesch Physik" data-language-autonym="Lëtzebuergesch" data-language-local-name="लग्ज़मबर्गी" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Matematin%C4%97_fizika" title="Matematinė fizika – लिथुआनियाई" lang="lt" hreflang="lt" data-title="Matematinė fizika" data-language-autonym="Lietuvių" data-language-local-name="लिथुआनियाई" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B0_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математичка физика – मकदूनियाई" lang="mk" hreflang="mk" data-title="Математичка физика" data-language-autonym="Македонски" data-language-local-name="मकदूनियाई" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Fizik_matematik" title="Fizik matematik – मलय" lang="ms" hreflang="ms" data-title="Fizik matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="मलय" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wiskundige_natuurkunde" title="Wiskundige natuurkunde – डच" lang="nl" hreflang="nl" data-title="Wiskundige natuurkunde" data-language-autonym="Nederlands" data-language-local-name="डच" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Matematisk_fysikk" title="Matematisk fysikk – नॉर्वेजियाई नॉयनॉर्स्क" lang="nn" hreflang="nn" data-title="Matematisk fysikk" data-language-autonym="Norsk nynorsk" data-language-local-name="नॉर्वेजियाई नॉयनॉर्स्क" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A8%A3%E0%A8%BF%E0%A8%A4%E0%A8%BF%E0%A8%95_%E0%A8%AD%E0%A9%8C%E0%A8%A4%E0%A8%BF%E0%A8%95_%E0%A8%B5%E0%A8%BF%E0%A8%97%E0%A8%BF%E0%A8%86%E0%A8%A8" title="ਗਣਿਤਿਕ ਭੌਤਿਕ ਵਿਗਿਆਨ – पंजाबी" lang="pa" hreflang="pa" data-title="ਗਣਿਤਿਕ ਭੌਤਿਕ ਵਿਗਿਆਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="पंजाबी" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Fizyka_matematyczna" title="Fizyka matematyczna – पोलिश" lang="pl" hreflang="pl" data-title="Fizyka matematyczna" data-language-autonym="Polski" data-language-local-name="पोलिश" 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/F%C3%ADsica_matem%C3%A1tica" title="Física matemática – पुर्तगाली" lang="pt" hreflang="pt" data-title="Física matemática" data-language-autonym="Português" data-language-local-name="पुर्तगाली" 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/Fizic%C4%83_matematic%C4%83" title="Fizică matematică – रोमानियाई" lang="ro" hreflang="ro" data-title="Fizică matematică" data-language-autonym="Română" data-language-local-name="रोमानियाई" 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%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математическая физика – रूसी" lang="ru" hreflang="ru" data-title="Математическая физика" data-language-autonym="Русский" data-language-local-name="रूसी" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Matemati%C4%8Dka_fizika" title="Matematička fizika – सेर्बो-क्रोएशियाई" lang="sh" hreflang="sh" data-title="Matematička fizika" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="सेर्बो-क्रोएशियाई" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mathematical_physics" title="Mathematical physics – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mathematical physics" 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/Matematick%C3%A1_fyzika" title="Matematická fyzika – स्लोवाक" lang="sk" hreflang="sk" data-title="Matematická fyzika" data-language-autonym="Slovenčina" data-language-local-name="स्लोवाक" 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/Matemati%C4%8Dna_fizika" title="Matematična fizika – स्लोवेनियाई" lang="sl" hreflang="sl" data-title="Matematična fizika" data-language-autonym="Slovenščina" data-language-local-name="स्लोवेनियाई" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Fizika_matematike" title="Fizika matematike – अल्बानियाई" lang="sq" hreflang="sq" data-title="Fizika matematike" data-language-autonym="Shqip" data-language-local-name="अल्बानियाई" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B0_%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0" title="Математичка физика – सर्बियाई" lang="sr" hreflang="sr" data-title="Математичка физика" data-language-autonym="Српски / srpski" data-language-local-name="सर्बियाई" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Matematisk_fysik" title="Matematisk fysik – स्वीडिश" lang="sv" hreflang="sv" data-title="Matematisk fysik" data-language-autonym="Svenska" data-language-local-name="स्वीडिश" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9F%E0%B8%B4%E0%B8%AA%E0%B8%B4%E0%B8%81%E0%B8%AA%E0%B9%8C%E0%B9%80%E0%B8%8A%E0%B8%B4%E0%B8%87%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C" title="ฟิสิกส์เชิงคณิตศาสตร์ – थाई" lang="th" hreflang="th" data-title="ฟิสิกส์เชิงคณิตศาสตร์" data-language-autonym="ไทย" data-language-local-name="थाई" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Matematikang_pampisika" title="Matematikang pampisika – टैगलॉग" lang="tl" hreflang="tl" data-title="Matematikang pampisika" data-language-autonym="Tagalog" data-language-local-name="टैगलॉग" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Matematiksel_fizik" title="Matematiksel fizik – तुर्की" lang="tr" hreflang="tr" data-title="Matematiksel fizik" data-language-autonym="Türkçe" data-language-local-name="तुर्की" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BD%D0%B0_%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B0" title="Математична фізика – यूक्रेनियाई" lang="uk" hreflang="uk" data-title="Математична фізика" data-language-autonym="Українська" data-language-local-name="यूक्रेनियाई" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA%DB%8C_%D8%B7%D8%A8%DB%8C%D8%B9%DB%8C%D8%A7%D8%AA" title="ریاضیاتی طبیعیات – उर्दू" lang="ur" hreflang="ur" data-title="ریاضیاتی طبیعیات" data-language-autonym="اردو" data-language-local-name="उर्दू" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link 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data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">मुक्त ज्ञानकोश विकिपीडिया से</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="hi" dir="ltr"><p><b>गणितीय भौतिकी</b> (Mathematical physics) <a href="/wiki/%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95_%E0%A4%B6%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0" title="भौतिक शास्त्र">भौतिकी</a> की समस्याओं के समाधान के लिये गणितीय विधियों के विकास से संबन्धित है। 'गणितीय भौतिकी पत्रिका' (Journal of Mathematical Physics) इस विषय इस तरह परिभाषित करती है- </p> <dl><dd>"भौतिकी की समस्याओं के लिये गणित का अनुप्रयोग तथा ऐसे अनुप्रयोगों और भौतिकीय सिद्धान्तों के सूत्रीकरण (Formulation) के लिये समुचित गणितीय विधियों का विकास करना।"कहा जा सकता है की जो व्यक्ति ज्यादा गणित जानता है वह भौतिकी विज्ञान को सम्यक प्रकार से जान सकता है</dd></dl> <div class="mw-heading mw-heading2"><h2 id="विषय-क्षेत्र_(scope)"><span id=".E0.A4.B5.E0.A4.BF.E0.A4.B7.E0.A4.AF-.E0.A4.95.E0.A5.8D.E0.A4.B7.E0.A5.87.E0.A4.A4.E0.A5.8D.E0.A4.B0_.28scope.29"></span>विषय-क्षेत्र (scope)</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&section=1" title="अनुभाग सम्पादित करें: विषय-क्षेत्र (scope)"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>गणितीय भौतिकी की बहुत सी शाखाएँ हैं। विशिष्ट ऐतिहासिक अवधियों के संगत विशिष्ट शाखाएँ विकसित हुईं। <a href="/wiki/%E0%A4%86%E0%A4%82%E0%A4%B6%E0%A4%BF%E0%A4%95_%E0%A4%85%E0%A4%B5%E0%A4%95%E0%A4%B2_%E0%A4%B8%E0%A4%AE%E0%A5%80%E0%A4%95%E0%A4%B0%E0%A4%A3" title="आंशिक अवकल समीकरण">आंशिक अवकल समीकरणों</a> का सिद्धांत (तथा इससे संबंधित क्षेत्र जैसे - variational calculus, फूर्ये विश्लेषण, विभव सिद्धांत तथा सदिश विश्लेषण) का संभवतः गणितीय भौतिकी से सबसे निकट का संबन्ध है। इन क्षेत्रों का विकास अट्ठारहवीं सदी के उत्तरार्ध से लेकर १९३० के दशक तक तेजी से हुआ। इनके विकास के फलस्वरूप जो भौतिकीय अनुप्रयोग सामने आये वे हैं- <a href="/wiki/%E0%A4%A4%E0%A4%B0%E0%A4%B2_%E0%A4%97%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="तरल गतिकी">द्रवगतिकी</a> (hydrodynamics), <a href="/wiki/%E0%A4%96%E0%A4%97%E0%A5%8B%E0%A4%B2%E0%A5%80%E0%A4%AF_%E0%A4%AF%E0%A4%BE%E0%A4%82%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%80" title="खगोलीय यांत्रिकी">खगोलीय यांत्रिकी</a> (celestial mechanics), <a href="/w/index.php?title=%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%A4%E0%A4%BE_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%82%E0%A4%A4&action=edit&redlink=1" class="new" title="प्रत्यास्थता सिद्धांत (पृष्ठ मौजूद नहीं है)">प्रत्यास्थता सिद्धांत</a> (elasticity theory), <a href="/wiki/%E0%A4%A7%E0%A5%8D%E0%A4%B5%E0%A4%A8%E0%A4%BF%E0%A4%95%E0%A5%80" title="ध्वनिकी">ध्वनिकी</a> (acoustics), <a href="/wiki/%E0%A4%89%E0%A4%B7%E0%A5%8D%E0%A4%AE%E0%A4%BE%E0%A4%97%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="उष्मागतिकी">ऊष्मागतिकी</a> (thermodynamics), <a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%AF%E0%A5%81%E0%A4%A4%E0%A5%8D%E0%A4%9A%E0%A5%81%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%95%E0%A4%A4%E0%A5%8D%E0%A4%B5" title="विद्युत्चुम्बकत्व">विद्युतचुम्बकत्व</a> (ElectroMagnetism), तथा <a href="/wiki/%E0%A4%B5%E0%A4%BE%E0%A4%AF%E0%A5%81%E0%A4%97%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="वायुगतिकी">वायुगतिकी</a> (aerodynamics)। </p><p><a href="/w/index.php?title=%E0%A4%AA%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%A3%E0%A5%81_%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%A3%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE&action=edit&redlink=1" class="new" title="परमाणु वर्णक्रम (पृष्ठ मौजूद नहीं है)">परमाणु वर्णक्रम</a> (Atomic Spectrum) का सिद्धांत (फलस्वरूप <a href="/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BE_%E0%A4%AF%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%80" title="प्रमात्रा यान्त्रिकी">क्वांटम यांत्रिकी</a>) का विकास <a href="/wiki/%E0%A4%B0%E0%A5%88%E0%A4%96%E0%A4%BF%E0%A4%95_%E0%A4%AC%E0%A5%80%E0%A4%9C%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="रैखिक बीजगणित">रैखिक बीजगणित</a>, प्रचालकों का वर्णक्रमिक सिद्धांत (Spectral Theory of Operators), तथा फलनीय विश्लेषण (Functional Analysis) के साथ-साथ हुई। ये सभी गणितीय भौतिकी के एक अन्य प्रभाग के गणितीय आधार हैं। </p> <div role="navigation" class="navbox" aria-labelledby="गणित_के_प्रभाग" style="padding:3px"><table class="nowraplinks collapsible expanded navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a 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title="विविक्त ज्यामिति (पृष्ठ मौजूद नहीं है)">विविक्त ज्यामिति</a> – <a href="/w/index.php?title=%E0%A4%AC%E0%A5%80%E0%A4%9C%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF&action=edit&redlink=1" class="new" title="बीजगणितीय ज्यामिति (पृष्ठ मौजूद नहीं है)">बीजगणितीय ज्यामिति</a> – <a href="/wiki/%E0%A4%85%E0%A4%B5%E0%A4%95%E0%A4%B2_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="अवकल ज्यामिति">अवकल ज्यामिति</a>) <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%95%E0%A4%B2%E0%A4%A8" title="कलन">कलन</a>/<a href="/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%8D%E0%A4%B2%E0%A5%87%E0%A4%B7%E0%A4%A3" title="गणितीय विश्लेषण">विश्लेषण</a> <b>·</b></span> <span style="white-space:nowrap;"> <a 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href="/w/index.php?title=%E0%A4%B2%E0%A5%80_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4&action=edit&redlink=1" class="new" title="ली सिद्धान्त (पृष्ठ मौजूद नहीं है)">ली सिद्धान्त</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%85%E0%A4%B5%E0%A4%95%E0%A4%B2_%E0%A4%B8%E0%A4%AE%E0%A5%80%E0%A4%95%E0%A4%B0%E0%A4%A3" title="अवकल समीकरण">अवकल समीकरण</a>/<a href="/wiki/%E0%A4%97%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80%E0%A4%AF_%E0%A4%A4%E0%A4%82%E0%A4%A4%E0%A5%8D%E0%A4%B0" class="mw-redirect" title="गतिकीय तंत्र">गतिकीय तंत्र सिद्धान्त</a> <b>·</b></span> <span style="white-space:nowrap;"> <a class="mw-selflink selflink">गणितीय भौतिकी</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%86%E0%A4%82%E0%A4%95%E0%A4%BF%E0%A4%95_%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%8D%E0%A4%B2%E0%A5%87%E0%A4%B7%E0%A4%A3" class="mw-redirect" title="आंकिक विश्लेषण">आंकिक विश्लेषण</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/w/index.php?title=%E0%A4%85%E0%A4%AD%E0%A4%BF%E0%A4%95%E0%A4%B2%E0%A4%A8%E0%A5%80_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4&action=edit&redlink=1" class="new" title="अभिकलनी सिद्धान्त (पृष्ठ मौजूद नहीं है)">अभिकलनी सिद्धान्त</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/w/index.php?title=%E0%A4%B8%E0%A5%82%E0%A4%9A%E0%A4%A8%E0%A4%BE_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4&action=edit&redlink=1" class="new" title="सूचना सिद्धान्त (पृष्ठ मौजूद नहीं है)">सूचना सिद्धान्त</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%BE%E0%A4%AF%E0%A4%BF%E0%A4%95%E0%A4%A4%E0%A4%BE" title="प्रायिकता">प्रायिकता</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BF%E0%A4%95%E0%A5%80" title="सांख्यिकी">सांख्यिकी</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%87%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%A4%E0%A4%AE%E0%A4%95%E0%A4%B0%E0%A4%A3" title="इष्टतमकरण">इष्टतमकरण</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%82%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%A3_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4" title="नियंत्रण सिद्धान्त">नियंत्रण सिद्धान्त</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%96%E0%A5%87%E0%A4%B2_%E0%A4%B8%E0%A4%BF%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4" class="mw-redirect" title="खेल सिद्धान्त">खेल सिद्धान्त</a> </span></p> </div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">वर्गीकरण</th><td class="navbox-list navbox-even" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><div> <p><a href="/wiki/%E0%A4%B6%E0%A5%81%E0%A4%A6%E0%A5%8D%E0%A4%A7_%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="शुद्ध गणित">शुद्ध गणित</a> <b>·</b> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AF%E0%A5%81%E0%A4%95%E0%A5%8D%E0%A4%A4_%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" class="mw-redirect" title="अनुप्रयुक्त गणित">अनुप्रयुक्त गणित</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B5%E0%A4%BF%E0%A4%95%E0%A5%8D%E0%A4%A4_%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="विविक्त गणित">विविक्त गणित</a> <b>·</b></span> <span style="white-space:nowrap;"> <a href="/wiki/%E0%A4%85%E0%A4%AD%E0%A4%BF%E0%A4%95%E0%A4%B2%E0%A4%A8%E0%A4%BE%E0%A4%A4%E0%A5%8D%E0%A4%AE%E0%A4%95_%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="अभिकलनात्मक गणित">अभिकलनात्मक गणित</a> </span></p> </div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div><b><a 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href="/w/index.php?title=%E0%A4%98%E0%A4%9F%E0%A4%A8%E0%A4%BE%E0%A4%B5%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%9E%E0%A4%BE%E0%A4%A8_(%E0%A4%95%E0%A4%A3_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80)&action=edit&redlink=1" class="new" title="घटनाविज्ञान (कण भौतिकी) (पृष्ठ मौजूद नहीं है)">घटनाविज्ञान</a>) • <a href="/w/index.php?title=%E0%A4%AC%E0%A4%B9%E0%A5%81%E0%A4%B2%E0%A4%95_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="बहुलक भौतिकी (पृष्ठ मौजूद नहीं है)">बहुलक भौतिकी</a> • <a href="/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B2%E0%A4%BE%E0%A4%9C%E0%A4%BC%E0%A5%8D%E0%A4%AE%E0%A4%BE_(%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80)" title="प्लाज़्मा (भौतिकी)">प्लाज़्मा</a> • <a href="/wiki/%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BF%E0%A4%95%E0%A5%80%E0%A4%AF_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="सांख्यिकीय भौतिकी">सांख्यिकीय भौतिकी</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">भौतिकी और <a href="/wiki/%E0%A4%9C%E0%A5%80%E0%A4%B5_%E0%A4%B5%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%9E%E0%A4%BE%E0%A4%A8" title="जीव विज्ञान">जीव विज्ञान</a>/<br /><a href="/wiki/%E0%A4%AD%E0%A5%82%E0%A4%B5%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%9E%E0%A4%BE%E0%A4%A8" title="भूविज्ञान">भूविज्ञान</a>/<a href="/wiki/%E0%A4%85%E0%A4%B0%E0%A5%8D%E0%A4%A5%E0%A4%B6%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0" title="अर्थशास्त्र">अर्थशास्त्र</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"><a href="/w/index.php?title=%E0%A4%9C%E0%A5%88%E0%A4%B5_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="जैव भौतिकी (पृष्ठ मौजूद नहीं है)">जैव भौतिकी</a> (<a href="/w/index.php?title=%E0%A4%9C%E0%A5%88%E0%A4%B5_%E0%A4%AF%E0%A4%BE%E0%A4%82%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="जैव यांत्रिकी (पृष्ठ मौजूद नहीं है)">जैव यांत्रिकी</a> • <a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%95%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B8%E0%A4%BE_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="चिकित्सा भौतिकी">चिकित्सा भौतिकी</a> • <a href="/w/index.php?title=%E0%A4%A4%E0%A4%A8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A4%BE_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="तन्त्रिका भौतिकी (पृष्ठ मौजूद नहीं है)">तन्त्रिका भौतिकी</a>) • <a href="/w/index.php?title=%E0%A4%95%E0%A5%83%E0%A4%B7%E0%A4%BF%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="कृषिभौतिकी (पृष्ठ मौजूद नहीं है)">कृषिभौतिकी</a>(<a href="/w/index.php?title=%E0%A4%AE%E0%A5%83%E0%A4%A6%E0%A4%BE_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="मृदा भौतिकी (पृष्ठ मौजूद नहीं है)">मृदा भौतिकी</a>) • <a href="/w/index.php?title=%E0%A4%B5%E0%A4%BE%E0%A4%AF%E0%A5%81%E0%A4%AE%E0%A4%82%E0%A4%A1%E0%A4%B2%E0%A5%80%E0%A4%AF_%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="वायुमंडलीय भौतिकी (पृष्ठ मौजूद नहीं है)">वायुमंडलीय भौतिकी</a> • <a href="/w/index.php?title=%E0%A4%85%E0%A4%B0%E0%A5%8D%E0%A4%A5%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="अर्थभौतिकी (पृष्ठ मौजूद नहीं है)">अर्थभौतिकी</a> • <a href="/wiki/%E0%A4%AD%E0%A5%82%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80" title="भूभौतिकी">भूभौतिकी</a> • <a href="/w/index.php?title=%E0%A4%AE%E0%A4%A8%E0%A5%8B%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80&action=edit&redlink=1" class="new" title="मनोभौतिकी (पृष्ठ मौजूद नहीं है)">मनोभौतिकी</a></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐f69cdc8f6‐txx8l Cached time: 20241123130627 Cache expiry: 2592000 Reduced expiry: false 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