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Harmonic function: Properties of harmonic functions, Generalizations & Examples
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R {\displaystyle f\colon U\to \mathbb {R} } , where U {\displaystyle U} is an open subset of R n {\displaystyle \mathbb {R} ^{n}} , that satisfies Laplace's equation, that is, ∂ 2 f ∂ x 1 2 + ∂…
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