Last Updated
：2025/12/01
Möbius transformation
Noun
Japanese Meaning
（幾何学・複素解析）拡張複素平面（実数体の拡大を取った平面や複素平面）上の変換であり、写像 f(z) = (az + b)/(cz + d) （ただし a, b, c, d は複素数で、ad − bc ≠ 0 を満たす）という形の有理関数として表される。これは複素射影直線またはリーマン球面上の自己同型変換を意味する。
（ plural ）
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(geometry, complex analysis) 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.
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Möbius transformation
When solving the conformal mapping problem, she used a Möbius transformation to send three distinct points to 0, 1, and infinity.
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When solving the conformal mapping problem, she used a Möbius transformation to send three distinct points to 0, 1, and infinity.
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