Flow of complex valued functions (2)

Flow of complex valued functions (2)

Flow of complex valued functions

Interpreting a complex valued function as a vector field over its domain provides a wealth of opportunities for producing visually appealing images. Starting with a plot of the vector field over a rectangular grid and assigning colors as functions of length and/or direction we easily discern the multiplicities of the zeros and poles of the function. Plotting the vector field of the function only along certain paths, inventing functions for assigning length and color to each vector produces some beautiful images. See more Flows of complex valued functions at http://myweb.cwpost.liu.edu/aburns/flows/flows.html. — Anne M. Burns

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