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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.
In mathematics, Green formula may refer to: Green's theorem in integral calculus; Green's identities in vector calculus; Green's function in differential equations; the Green formula for the Green measure in stochastic analysis
In logic, the law of excluded middle or the principle of excluded middle states that for every proposition, either this proposition or its negation is true. [1] [2] It is one of the three laws of thought, along with the law of noncontradiction, and the law of identity; however, no system of logic is built on just these laws, and none of these laws provides inference rules, such as modus ponens ...
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Use this to mark a specific statement as needing support from a third-party or independent source. Template parameters [Edit template data] Parameter Description Type Status Date date Month and year, e.g. January 2015 Auto value {{subst:CURRENTMONTHNAME}} {{subst:CURRENTYEAR}} Unknown suggested Reason reason Why this statement needs a third-party source String optional See also Wikipedia ...
Green's translation renders the Tetragrammaton (יהוה YHWH) as Jehovah in 6,866 places throughout the Old Testament. With respect to the transliteration of the Tetragrammaton, Green opined that the worst approach was to transliterate the name as LORD, writing that "Every nation had their lords, but only Israel had Jehovah as their God.
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