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The Mathmagic Show
finding a harmonic conjugate in complex analysis
In this video, we will explore how to find the harmonic conjugate of a function in complex analysis. We will use the example function U(x,y) = x² - y² to demonstrate the process. First, we will remind ourselves of the Cauchy-Riemann equations, which state that F_y = iF_x. From there, we can relate the real and imaginary parts of the equations ...
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