In mathematics, Green's identities are a set of three identities in vector calculus relating the bulk with the boundary of a region on which differential...
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solution is a sum of Green's functions as well, by linearity of L. Green's functions are named after the British mathematician George Green, who first developed...
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In mathematics, Green formula may refer to: Green's theorem in integral calculus Green's identities in vector calculus Green's function in differential...
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Divergence theorem (redirect from Gauss Green theorem)
\mathbf {F} =\nabla f} , in which case the theorem is the basis for Green's identities. With F → F × G {\displaystyle \mathbf {F} \rightarrow \mathbf {F}...
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then Green's theorem follows immediately for the region D. We can prove (1) easily for regions of type I, and (2) for regions of type II. Green's theorem...
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modern Green's theorem, the idea of potential functions as currently used in physics, and the concept of what are now called Green's functions. Green was...
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these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities potentially...
81 KB (12,166 words) - 04:35, 2 August 2024
The following are important identities involving derivatives and integrals in vector calculus. For a function f ( x , y , z ) {\displaystyle f(x,y,z)}...
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derivative Flux Frenet–Serret formulas Gauss's law Gradient Green's theorem Green's identities Harmonic function Helmholtz decomposition Hessian matrix Hodge...
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Fraunhofer diffraction Kirchhoff's diffraction formula Green's function Green's theorem Green's identities Near-field diffraction pattern Double-slit experiment...
24 KB (3,052 words) - 06:29, 25 July 2024