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'''Laplace's equation''' is an [[equation]] such that the sum of all of the non-mixed second order [[partial derivative]]s of a [[function]], f, equaling zero.  All functions that have a [[Laplacian]] (usually denoted <math>\nabla^2 f</math> by physicists and <math>\Delta f</math> by mathematicians) of zero (and thus are a solution to Laplace's equation) are called [[harmonic function]]s.

'''Laplace's equation''' is an [[equation]] such that the sum of all of the non-mixed second order [[partial derivative]]s of a [[function]], f, equaling zero.  All functions that have a [[Laplacian]] (usually denoted <math>\nabla^2 f</math> by physicists and <math>\Delta f</math> by mathematicians) of zero (and thus are a solution to Laplace's equation) are called [[harmonic function]]s.