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linear fractional transformation

noun, Mathematics

Möbius transformation

noun, Mathematics
a map of the complex plane to itself in which a point z is mapped to a point w by w = (az + b)/(cz + d), where a, b, c, and d are complex numbers and adbc does not equal zero.
Also called bilinear transformation, linear fractional transformation.
Origin of Möbius transformation Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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