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  2. Green's identities - Wikipedia

    en.wikipedia.org/wiki/Green's_identities

    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 operators act. They are named after the mathematician George Green , who discovered Green's theorem .

  3. Green's theorem - Wikipedia

    en.wikipedia.org/wiki/Green's_theorem

    In 1846, the form of "Green's theorem" which appears in this article was first published, without proof, in an article by Augustin Cauchy: A. Cauchy (1846) "Sur les intégrales qui s'étendent à tous les points d'une courbe fermée" (On integrals that extend over all of the points of a closed curve), Comptes rendus, 23: 251–255.

  4. Green's function - Wikipedia

    en.wikipedia.org/wiki/Green's_function

    Green's functions are also useful tools in solving wave equations and diffusion equations. In quantum mechanics, Green's function of the Hamiltonian is a key concept with important links to the concept of density of states. The Green's function as used in physics is usually defined with the opposite sign, instead.

  5. Divergence theorem - Wikipedia

    en.wikipedia.org/wiki/Divergence_theorem

    The closed, measurable set ... Proof of Theorem. [9] ... , in which case the theorem is the basis for Green's identities. With ...

  6. Neumann–Poincaré operator - Wikipedia

    en.wikipedia.org/wiki/Neumann–Poincaré_operator

    To prove this identity, Green's second identity can be applied to Ω with a small disk centred on z removed. This reduces to showing that the identity holds in the limit for a small disk centred on z shrinking in size. Translating, it can be assumed that z = 0 and the identity becomes

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    The first patient in the U.S. was hospitalized with "severe" bird flu. Here's what you should know about symptoms, according to an infectious disease expert.

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    Good news: The Veggie Lover’s pizza comes with mushrooms, onions, green bell peppers, Roma tomatoes, and black olives. ... Man arrested over death of woman set on fire on New York subway. News ...

  9. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Bertrand's postulate and a proof; Estimation of covariance matrices; Fermat's little theorem and some proofs; Gödel's completeness theorem and its original proof; Mathematical induction and a proof; Proof that 0.999... equals 1; Proof that 22/7 exceeds π; Proof that e is irrational; Proof that π is irrational

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