Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Harmonic function

In mathematics, mathematical physics and the theory ofstochastic processes, a harmonic function is a twicecontinuously differentiable function f : U → R (where U is anopen subset of Rn) which satisfies Laplace's equation, i.e.

frac{partial^2f}{partial x_1^2} + frac{partial^2f}{partial x_2^2} + cdots + frac{partial^2f}{partial x_n^2} = 0

everywhere on U. This is usually written as

abla^2 f = 0

or

extstyle Delta f = 0

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Almajmaah University

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Upcoming Conferences

2015 IEEE Power and Energy Conference at Illinois (PECI)

2015 International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles (ESARS)
2015 Clemson University Power Systems Conference (PSC)
2015 IEEE Applied Power Electronics Conference and Exposition (APEC)

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“Engineers like to solve problems. If there are no problems handily available, they will create their own problems.”

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