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Harmonic conjugate
In mathematics, the harmonic conjugate of a harmonic real-valued function of two variables u(x,y), is a function v(x,y) such that v is harmonic and u and v satisfy the Cauchy-Riemann equations, that is, the complex-valued function u(x,y)+iv(x,y) = f(z) is analytic. The harmonic conjugate (when it exists, in a given connected region) is unique up to addition of a constant to v.
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