English Explanatory Dictionary

Möbius transformation

English dictionary entry

Meanings

noun
  1. A transformation of the extended complex plane that is a rational function of the form f(z) = (az + b) / (cz + d), where a, b, c, d are complex numbers such that ad − bc ≠ 0; an automorphism of the complex projective line.

Word forms

Möbius transformation Möbius transformations Mobius transformation Moebius transformation

Etymology

Named for German mathematician and theoretical astronomer August Ferdinand Möbius (1790–1868).

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