![]() ![]() ![]() The surface defined by a harmonic function has zero convexity, and these functions thus have the important property that they have no or values inside the region in which they are defined. In physical situations, harmonic functions describe those conditions of such as the temperature or electrical charge distribution over a region in which the value at each point remains constant.Harmonic functions can also be defined as functions that satisfy, a condition that can be shown to be equivalent to the first definition. An number of points are involved in this average, so that it must be found by means of an, which represents an infinite sum. Harmonic function, mathematical of two variables having the property that its value at any point is equal to the average of its values along any circle around that point, provided the function is defined within the circle. ![]()
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