If a function is harmonic in a sphere, then the value of at the center of the sphere is the arithmetic mean of its value on the surface.
Gauss's Harmonic Function Theorem
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Cite this as:
Weisstein, Eric W. "Gauss's Harmonic Function Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GausssHarmonicFunctionTheorem.html