In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R (where U is an open subset of Rn) which satisfies Laplace's equation, i.e.
everywhere on U. This is usually written as
or
Read more about Harmonic Function: Examples, Remarks, Connections With Complex Function Theory
Famous quotes containing the words harmonic and/or function:
“For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater harmonic possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.”
—Kyle D. Pruett (20th century)
“We are thus able to distinguish thinking as the function which is to a large extent linguistic.”
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