Green's theorem (English)
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Definition (advanced level)
In two dimensions, if a closed curve C encloses a region R in which functions P(x,y) and Q(x,y) have continuous partial derivatives, then:
In three dimensions, if a closed surface S encloses a volume V in which a vector function F has continuous partial derivatives, then:
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In three dimensions, if a closed surface S encloses a volume V in which a vector function F has continuous partial derivatives, then:
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Relations
- broader:
- (en) Integration
- (en) Theorem
- see also:
- (en) Divergence theorem
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