Green's theorem

line integral around a closed curve to a double integral over its enclosed region
rdfs:label
"Green's theorem"@en
skos:altLabel
"Fórmula de Green Riemann"@ca
"Teorema de Gauss-Green"@ca
schema:description
"line integral around a closed curve to a double integral over its enclosed region"@en
schema:dateModified "2026-09-27T20:36:36+00:00"^^xsd:dateTime
schema:version 2550159507
wikibase:identifiers 12
wikibase:sitelinks 45
wikibase:statements 30
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p:P3827 wd:statement/Q321237-23F2FFDF-AFA3-43CD-B35A-EF6C4231368A
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wd:statement/Q321237-d6f76bd4-4db9-18ba-8473-b2b09e13c1d3
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p:P910 wd:statement/Q321237-5C3811BF-87C6-4C1B-982D-F7876AB44297
p:direct-normalized/P227 <https://d-nb.info/gnd/1383947341>
p:direct-normalized/P508 <http://purl.org/bncf/tid/28929>
p:direct-normalized/P6366 <https://makg.org/entity/137891326>
wdt:P10283 "C137891326"
wdt:P1051 "7490"
wdt:P11497 "1.6.E44"
wdt:P1318 Bernhard Riemann
wdt:P1343 Armenian Soviet Encyclopedia, vol. 3
Mathwords
Khan Academy
wdt:P138 George Green
wdt:P1417 "topic/Greens-theorem"
wdt:P227 "1383947341"
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">&#x222C;</mo><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>y</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>A</mi><mo stretchy="false">=</mo><munder><mo stretchy="false">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>S</mi></mrow></mrow></munder><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi><mo stretchy="false">+</mo><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>y</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 calculus
wdt:P2812 "GreensTheorem"
wdt:P31 theorem
wdt:P3417 "Greens-Theorem-1"
wdt:P361 list of theorems
wdt:P373 "Green's theorem"
wdt:P3827 "greens-theorem"
wdt:P508 "28929"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "137891326"
wdt:P646 "/m/01k8mc"
wdt:P6564 "greens-theorem"
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>&#x2202;</mi><mi>S</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"><mi>S</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"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></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"><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></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">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝒄</mi></mrow></mrow></munder><mi>f</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>s</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"><munder><mo stretchy="false">&#x222C;</mo><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></munder><mi>f</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>A</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P910 Category:Green's theorem
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