divergence theorem

generalization of the fundamental theorem in vector calculus
rdfs:label
"divergence theorem"@en
skos:altLabel
"Gauss's theorem"@en
"Ostrogradsky's theorem"@en
schema:description
"generalization of the fundamental theorem in vector calculus"@en
schema:dateModified "2026-09-14T01:16:27+00:00"^^xsd:dateTime
schema:version 2545327302
wikibase:identifiers 11
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wdt:P10283 "C16030659"
wdt:P1051 "7494"
wdt:P1136 Mikhail Ostrogradsky
wdt:P11497 "1.6.E58"
wdt:P1343 Great Soviet Encyclopedia (1926–1947)
wdt:P138 Mikhail Ostrogradsky
Carl Friedrich Gauss
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 calculus
vector calculus
wdt:P279 Stokes' theorem
wdt:P2812 "DivergenceTheorem"
wdt:P31 identity
theorem
formula
wdt:P361 list of theorems
wdt:P373 "Divergence theorem"
wdt:P3827 "divergence-theorem"
wdt:P4215 "divergence theorem"
wdt:P6104 WikiProject Mathematics
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"<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
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wdt:P8855 "102-05-30"
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