A fractional linear map f(z) = (az + b)/(cz + d) on the Riemann sphere with ad − bc ≠ 0. Möbius transformations form a group isomorphic to PSL(2, ℂ); they are precisely the conformal automorphisms of the Riemann sphere and map generalised…
Möbius transformation
Related concepts
- Holomorphic function
- Gires–Tournois: r(ω) = (r₁ − e^{−iφ})/(1 − r₁ e^{−iφ}); |r| = 1, Möbius-phase nonlinear
- Langmuir isotherm: θ(p) = Kp/(1 + Kp)
- Ion-selective electrodes (ISEs)
- Langmuir–Blodgett films
- Langmuir adsorption framework: θ = K·p/(1 + K·p) (1:1 single-site surface equilibrium)
- Cheng-Prusoff: IC50 = Ki·(1 + [S]/Km); Ki from competitive IC50