Möbius transformation

Summary

Möbius transformation is a function of a complex variable^[1]. It draws 364 Wikipedia views per month (function_of_a_complex_variable category, ranking #1 of 1).^[2]

Key Facts

• Möbius transformation's instance of is recorded as function of a complex variable^[3].
• Möbius transformation's instance of is recorded as mathematical concept^[4].
• Möbius transformation's GND ID is recorded as 1059143917^[5].
• Möbius transformation's subclass of is recorded as conformal map^[6].
• Möbius transformation's subclass of is recorded as linear fractional transformation^[7].
• Möbius transformation's Commons category is recorded as Möbius transformation^[8].
• Möbius transformation's said to be the same as is recorded as homographic function^[9].
• Möbius transformation's Freebase ID is recorded as /m/01tngc^[10].
• Möbius transformation's partial function domain is recorded as extended complex plane^[11].
• Möbius transformation's different from is recorded as Möbius inversion formula^[12].
• Möbius transformation's different from is recorded as Möbius transform^[13].
• Möbius transformation's image of function is recorded as extended complex plane^[14].
• Möbius transformation's defining formula is recorded as f(z) = \frac{a z + b}{c z + d}, a d - b c \neq 0^[15].
• Möbius transformation's studied by is recorded as complex analysis^[16].
• Möbius transformation's MathWorld ID is recorded as LinearFractionalTransformation^[17].
• Möbius transformation's maintained by WikiProject is recorded as WikiProject Mathematics^[18].
• Möbius transformation's Microsoft Academic ID is recorded as 92879324^[19].
• Möbius transformation's ProofWiki ID is recorded as Definition:Möbius_Transformation^[20].
• Möbius transformation's in defining formula is recorded as f(z)^[21].
• Möbius transformation's in defining formula is recorded as a^[22].
• Möbius transformation's in defining formula is recorded as b^[23].
• Möbius transformation's in defining formula is recorded as c^[24].
• Möbius transformation's in defining formula is recorded as d^[25].
• Möbius transformation's Treccani's Enciclopedia della Matematica ID is recorded as trasformazione-di-mobius^[26].
• Möbius transformation's ScienceDirect topic ID is recorded as mathematics/mobius-transformation^[27].

Why It Matters

Möbius transformation draws 364 Wikipedia views per month (function_of_a_complex_variable category, ranking #1 of 1).^[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.^[28] It is known by 11 alternative names across languages and contexts.^[29]