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  2. Green's identities - Wikipedia

    en.wikipedia.org/wiki/Green's_identities

    This identity is derived from the divergence theorem applied to the vector field F = ψ ∇φ while using an extension of the product rule that ∇ ⋅ (ψ X) = ∇ψ ⋅X + ψ ∇⋅X: Let φ and ψ be scalar functions defined on some region U ⊂ R d, and suppose that φ is twice continuously differentiable, and ψ is once continuously differentiable.

  3. Vector calculus identities - Wikipedia

    en.wikipedia.org/wiki/Vector_calculus_identities

    4.1.6 Third derivatives. ... Download as PDF; Printable version; In other projects Wikidata item; ... For example, Green's first identity becomes

  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. Green's theorem - Wikipedia

    en.wikipedia.org/wiki/Green's_theorem

    In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in ) bounded by C. It is the two-dimensional special case of Stokes' theorem (surface in R 3 {\displaystyle \mathbb {R} ^{3}} ).

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  8. Template:GreenBook3rd/doc - Wikipedia

    en.wikipedia.org/wiki/Template:GreenBook3rd/doc

    This is a documentation subpage for Template:GreenBook3rd. It may contain usage information, categories and other content that is not part of the original template page. GreenBook3rd is for referencing the IUPAC recommendations in Quantities, Units and Symbols in Physical Chemistry (3rd edition, 2008), also known as the "Green Book".

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