What does harmonic function mean?
Definitions for harmonic function
har·mon·ic func·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word harmonic function.
Wiktionary
harmonic functionnoun
A function of two, three or n variables which is a solution to any of Laplace's equations
Wikipedia
Harmonic function
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R , {\displaystyle f:U\to \mathbb {R} ,} where U is an open subset of R n , {\displaystyle \mathbb {R} ^{n},} that satisfies Laplace's equation, that is, ∂ 2 f ∂ x 1 2 + ∂ 2 f ∂ x 2 2 + ⋯ + ∂ 2 f ∂ x n 2 = 0 {\displaystyle {\frac {\partial ^{2}f}{\partial x_{1}^{2}}}+{\frac {\partial ^{2}f}{\partial x_{2}^{2}}}+\cdots +{\frac {\partial ^{2}f}{\partial x_{n}^{2}}}=0} everywhere on U. This is usually written as ∇ 2 f = 0 {\displaystyle \nabla ^{2}f=0} or Δ f = 0 {\displaystyle \Delta f=0}
Wikidata
Harmonic function
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R which satisfies Laplace's equation, i.e. everywhere on U. This is usually written as or
Numerology
Chaldean Numerology
The numerical value of harmonic function in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of harmonic function in Pythagorean Numerology is: 3
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"harmonic function." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/harmonic+function>.
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