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Möbius transformations

Möbius transformations is the plural of Möbius transformation.

Meaning of Möbius transformation

Noun

Möbius transformation (plural Möbius transformations)

  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.
    • Jørgensen's inequality gives a necessary condition for a non-elementary group of Möbius transformations to be discrete.2008, J. Vernon Armitage, John Parker, Jørgensen's inequality for Non-Archimedean Metric Spaces, Mikhail Kapranov, Sergii Kolyada, Yu. I. Manin, Pieter Moree, Leonid Potyagailo (editors), Geometry...

Questions about Möbius transformations

What is Möbius transformations the plural of?
Möbius transformations is the plural of Möbius transformation.

Words near Möbius transformations in the dictionary

  1. Möbius scarves
  2. Möbius strip
  3. Möbius strips
  4. Möbius syndrome
  5. Möbius transformation
  6. Möbius transformations
  7. Möller-Barlow disease
  8. Mölndal
  9. Mönchengladbach
  10. Möngke
  11. möngö

Source and license

Adapted from Wiktionary: Möbius transformations (page history and authors); Möbius transformation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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