Dictionary
Mö'bius transforma"tion
Math.
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
ad -
bc does not equal zero. Also called
bilinear transformation, linear fractional transformation. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.