@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q338886 rdfs:label "مبرهنة التباعد"@ar,
        "Teorema de Gauss"@ast,
        "Теорема на Гаус-Остроградски"@bg,
        "Teorema de la divergència"@ca,
        "Gaussova věta"@cs,
        "Остроградский — Гаусс формули"@cv,
        "gaußscher Integralsatz"@de,
        "Gaussscher Integralsatz"@de-ch,
        "Θεώρημα της απόκλισης"@el,
        "divergence theorem"@en,
        "diverĝenca teoremo"@eo,
        "teorema de la divergencia"@es,
        "Gaussi-Ostrogradski teoreem"@et,
        "قضیه دیورژانس"@fa,
        "Gaussin divergenssilause"@fi,
        "théorème de flux-divergence"@fr,
        "Teorema da diverxencia"@gl,
        "משפט גאוס"@he,
        "Gauss–Osztrogradszkij-tétel"@hu,
        "Գաուս-Օստոգրադսկու թեորեմ"@hy,
        "Teorema Divergensi"@id,
        "Lögmál Gauss"@is,
        "teorema della divergenza"@it,
        "発散定理"@ja,
        "발산 정리"@ko,
        "Teurema da la divergenza"@lmo,
        "Гаус-Остроградскиева теорема"@mk,
        "ဖြာထွက်မှု သီအိုရမ်"@my,
        "divergensteoremet"@nb,
        "divergentiestelling"@nl,
        "Twierdzenie Ostrogradskiego-Gaussa"@pl,
        "teorema da divergência"@pt,
        "teorema divergenței"@ro,
        "Формула Гаусса—Остроградского"@ru,
        "Gaussova veta"@sk,
        "izrek Gaussa in Ostrogradskega"@sl,
        "Gauss sats"@sv,
        "Diverjans teoremi"@tr,
        "Формула Остроградського"@uk,
        "Ostrogradskiy formulasi"@uz,
        "Định lý Gauss"@vi,
        "高斯散度定理"@zh,
        "高斯散度定理"@zh-cn,
        "高斯散度定理"@zh-hans,
        "高斯散度定理"@zh-hant,
        "高斯散度定理"@zh-hk,
        "高斯散度定理"@zh-sg,
        "高斯散度定理"@zh-tw ;
    schema1:dateModified "2026-09-14T01:16:27+00:00"^^xsd:dateTime ;
    schema1:description "مبرهنة تحليل المتجهات"@ar,
        "matematická věta popisující vztah mezi plošnými a trojnými integrály"@cs,
        "mathematischer Satz"@de,
        "generalization of the fundamental theorem in vector calculus"@en,
        "teorema del cálculo vectorial"@es,
        "théorème d'analyse vectorielle"@fr,
        "matematikai állítás"@hu,
        "teorema di analisi matematica"@it,
        "ベクトル場の発散を、その場によって定義される流れの面積分に結び付ける定理"@ja,
        "związek całki potrójnej z powierzchniową po brzegu"@pl,
        "generalizare a teoremei fundamentale în calculul vectorial"@ro,
        "формула, связывающая дивергенцию векторного поля с его потоком через границу области"@ru,
        "posplošitev osnovnega izreka v vektorskem računu"@sl,
        "hajm boʻyicha olingan integralni shu hajm chegaralangan Ssirt boʻyicha olingan integralga oʻtkazadigan formula"@uz,
        "向量分析定理"@zh,
        "向量分析定理"@zh-hans ;
    schema1:version 2545327302 ;
    wikibase:identifiers 11 ;
    wikibase:sitelinks 38 ;
    wikibase:statements 30 ;
    skos:altLabel "مبرهنة أوستروغرادسكي"@ar,
        "مبرهنة غرين - أوستروغرادسكي"@ar,
        "Teorema d'Ostrogradski"@ca,
        "Teorema de Gauss"@ca,
        "G-O věta"@cs,
        "Gauss-Ostrogradského věta"@cs,
        "Gaussova věta matematiky"@cs,
        "Gaussova-Ostrogradského věta"@cs,
        "Divergenzsatz"@de,
        "Integralsatz von Gauß"@de,
        "Satz von Gauß-Ostrogradski"@de,
        "Gauss's theorem"@en,
        "Ostrogradsky's theorem"@en,
        "Formulo de Ostrogradskij"@eo,
        "Formulo de Ostrogradskij-Gaŭso"@eo,
        "Gaŭsa teoremo"@eo,
        "Teoremo de Ostrogradskij"@eo,
        "Teoremo de Ostrogradskij-Gaŭso"@eo,
        "teorema de Gauss"@es,
        "قضیه اوستروگرادسکی"@fa,
        "قضیه واگرایی"@fa,
        "قضیه گاوس"@fa,
        "Divergenssilause"@fi,
        "Gaussin lause"@fi,
        "formule d'Ostrogradsky"@fr,
        "théorème d'Ostrogradski"@fr,
        "théorème d'Ostrogradsky"@fr,
        "théorème de Green-Ostrogradski"@fr,
        "théorème de Green-Ostrogradsky"@fr,
        "משפט גאוס-אוסטרוגרדסקי"@he,
        "משפט הדיברגנץ"@he,
        "teorema di Gauss-Green-Ostrogradskij"@it,
        "teorema di Green-Gauss"@it,
        "teorema di Ostrogradskij"@it,
        "ガウスの定理"@ja,
        "가우스의 발산 정리"@ko,
        "가우스의 발산정리"@ko,
        "теорема за дивергенција"@mk,
        "stelling van Gauss"@nl,
        "Prawo Gaussa"@pl,
        "Twierdzenie Gaussa-Ostrogradskiego"@pl,
        "Wzór Ostrogradskiego-Gaussa"@pl,
        "teorema de Gauss"@pt,
        "teorema lui Ostrogradski"@ro,
        "Остроградского формула"@ru,
        "Теорема Гаусса — Остроградского"@ru,
        "Теорема Остроградского - Гаусса"@ru,
        "Теорема Остроградского — Гаусса"@ru,
        "Теорема Остроградского-Гаусса"@ru,
        "Формула Гаусса - Остроградского"@ru,
        "Формула Гаусса-Остроградского"@ru,
        "Формула Остроградского"@ru,
        "Формула Остроградского — Гаусса"@ru,
        "Формула Остроградского-Гаусса"@ru,
        "Gausova veta"@sk,
        "Gaussova-Ostrogradského formula"@sk,
        "Gaussova-Ostrogradského veta"@sk,
        "Veta o divergencii"@sk,
        "Gaussov integralski izrek"@sl,
        "Gaussov izrek"@sl,
        "Gaussova formula"@sl,
        "Ostrogradski-Gaussov izrek"@sl,
        "Ostrogradski-Gaussova formula"@sl,
        "formula Ostrogradskega"@sl,
        "izrek Ostrogradskega"@sl,
        "izrek o divergenci"@sl,
        "Divergenssatsen"@sv,
        "Gauss' sats"@sv,
        "Теорема Гауса-Остроградського"@uk,
        "Теорема Остроградського-Гауса"@uk,
        "Ðịnh lý Otrogradski - Gauss"@vi,
        "Định lý Ostrogradsky–Gauss"@vi,
        "散度定理"@zh,
        "高斯公式"@zh ;
    p:P10283 wds:Q338886-F5AD90D1-DFA9-4D34-BFBA-37F54B469248 ;
    p:P1051 wds:Q338886-0FB0E2AF-0B24-4E2B-B729-E4AB3738EBEE ;
    p:P1136 wds:Q338886-7348e5d6-4411-0f6d-e6d2-6a755f0669a3 ;
    p:P11497 wds:Q338886-a01db0ee-4527-7924-ef49-75b16ebb1e28 ;
    p:P1343 wds:Q338886-deb67234-84eb-49d6-9ea7-61ff985091c1 ;
    p:P138 wds:Q338886-8acbdbe7-4e4b-76eb-e974-f2d43677e637,
        wds:Q338886-ad8987b3-431c-5475-15ce-d994ef678f4f ;
    p:P1417 wds:Q338886-6F175109-2A3B-42D9-AEC2-1A6A469A46FB ;
    p:P227 wds:Q338886-867d881c-4b00-b237-bddf-3e3c418a39b0 ;
    p:P2534 wds:Q338886-b236885b-4974-8956-f561-7ecda7c935ad ;
    p:P2579 wds:Q338886-4e644609-4287-ff8e-a277-91ca603ff89c,
        wds:Q338886-88E54D0B-E9D1-4B2B-8108-F7FFCF817849 ;
    p:P279 wds:Q338886-BD1D86A7-DBDA-49C0-8519-BDB8A83BBA56 ;
    p:P2812 wds:Q338886-8AC67636-1B7F-4B1B-85EC-62303530446F ;
    p:P31 wds:Q338886-0e4e4e0e-46d1-faf6-0511-e069a49a99eb,
        wds:Q338886-10D4E714-3D29-4F22-9BE8-089A809B8E2A,
        wds:Q338886-4c8f540e-4325-446d-4dd9-ce5273ebdc93 ;
    p:P361 wds:Q338886-3F71DF5B-3D72-44B9-9740-11FEE5FF64D6 ;
    p:P373 wds:Q338886-C95A8949-909E-4F0F-AEDB-A3E9E183C501 ;
    p:P3827 wds:Q338886-7511F999-B36D-47CF-A358-C3863B0AD7AD ;
    p:P4215 wds:Q338886-171AD952-6F2F-4330-A375-69FE06278240 ;
    p:P6104 wds:Q338886-EF782976-612C-4542-81A6-04DF32968EE9 ;
    p:P6366 wds:Q338886-8AA393D3-A714-4773-AB1F-D8A4C481D840 ;
    p:P646 wds:Q338886-40F8E682-3E9F-45AC-8CFB-7615D6BD9DE6 ;
    p:P7235 wds:Q338886-2d59cc9f-4b51-729b-60f8-04456d6b008a,
        wds:Q338886-33bec762-4e12-b124-8455-3ec863d657f3,
        wds:Q338886-5af3452a-4b59-191f-44ef-07659df614f1,
        wds:Q338886-7878a931-4fa9-3347-037f-98fb2d40b7d2,
        wds:Q338886-8f2a0fd7-4301-a4bf-87bb-93de26e1c8ee ;
    p:P8855 wds:Q338886-ac0bbcad-48d4-c141-7a78-26fec3e0f021 ;
    wdtn:P227 <https://d-nb.info/gnd/4336399-4> ;
    wdtn:P6366 <https://makg.org/entity/16030659> ;
    wdt:P10283 "C16030659" ;
    wdt:P1051 "7494" ;
    wdt:P1136 wd:Q355892 ;
    wdt:P11497 "1.6.E58" ;
    wdt:P1343 wd:Q20078554 ;
    wdt:P138 wd:Q355892,
        wd:Q6722 ;
    wdt:P1417 "topic/divergence-theorem" ;
    wdt:P227 "4336399-4" ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munder><mo stretchy=\"false\">&#x222D;</mo><mrow data-mjx-texclass=\"ORD\"><mi>V</mi></mrow></munder><mo stretchy=\"false\">(</mo><mi mathvariant=\"normal\">&#x2207;</mi><mo stretchy=\"false\">&#x22C5;</mo><mrow data-mjx-texclass=\"ORD\"><mi>𝑭</mi></mrow><mo stretchy=\"false\">)</mo><mspace width=\"0.167em\"></mspace><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">d</mi></mrow><mi>V</mi><mo stretchy=\"false\">=</mo><munder><mo stretchy=\"false\">&#x222C;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>&#x2202;</mi><mi>V</mi></mrow></mrow></munder><mrow data-mjx-texclass=\"ORD\"><mi>𝑭</mi></mrow><mo stretchy=\"false\">&#x22C5;</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">d</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"bold-italic\">&#x03C3;</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2579 wd:Q149972,
        wd:Q200802 ;
    wdt:P279 wd:Q467756 ;
    wdt:P2812 "DivergenceTheorem" ;
    wdt:P31 wd:Q609647,
        wd:Q65943,
        wd:Q976981 ;
    wdt:P361 wd:Q944443 ;
    wdt:P373 "Divergence theorem" ;
    wdt:P3827 "divergence-theorem" ;
    wdt:P4215 "divergence theorem" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "16030659" ;
    wdt:P646 "/m/013s25" ;
    wdt:P7235 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi mathvariant=\"normal\">&#x2207;</mi><mo stretchy=\"false\">&#x22C5;</mo><mrow data-mjx-texclass=\"ORD\"><mi>𝒂</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>&#x2202;</mi><mi>V</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi>𝑭</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munder><mo stretchy=\"false\">&#x222C;</mo><mrow data-mjx-texclass=\"ORD\"><mi>S</mi></mrow></munder><mrow data-mjx-texclass=\"ORD\"><mi>𝑭</mi></mrow><mo stretchy=\"false\">&#x22C5;</mo><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">d</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"bold-italic\">&#x03C3;</mi></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munder><mo stretchy=\"false\">&#x222D;</mo><mrow data-mjx-texclass=\"ORD\"><mi>V</mi></mrow></munder><mi>f</mi><mspace width=\"0.167em\"></mspace><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">d</mi></mrow><mi>V</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P8855 "102-05-30" .

