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Möbius transformation

noun

Etymology

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

  1. derived from mathematician and theoretical astronomer August Ferdinand Möbius

Definitions

  1. A transformation of the extended complex plane that is a rational function of the form…

    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.

    • Classical Kleinian groups are discrete subgroups of Möbius transformations which act on the Riemann sphere with a nonempty region of discontinuity.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA