Math 2.0

concept

Möbius transformation

Summary

A Möbius transformation is a map z↦az+bcz+dz \mapsto \frac{az + b}{cz + d} of the Riemann sphere to itself, with ad−bc≠0ad - bc \neq 0, see the definition. These maps are bijective and holomorphic, they preserve angles, and they map circles and lines to circles and lines.

What this node needs for W2
  • edge instance_of in: at least two examples (1 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/M%C3%B6bius_transformation, lead section

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