physics. Möbius geometries and their transformations generalize this case to any number of dimensions over other fields. Möbius transformations are named...

d, and z are complex numbers (in which case the transformation is also called a Möbius transformation), or more generally elements of a field. The invertibility...

named after him, including the Möbius plane, the Möbius transformations, important in projective geometry, and the Möbius transform of number theory. His...

In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist...

Look up Möbius in Wiktionary, the free dictionary. Moebius, Mœbius, Möbius or Mobius may refer to: August Ferdinand Möbius (1790–1868), German mathematician...

locally conformal to a Möbius geometry, meaning that there exists an angle preserving local diffeomorphism from the manifold into a Möbius geometry. In two...

Examples of Möbius transformations include dilations, rotations, translations, and complex inversion. In fact, any Möbius transformation can be written...

switch between continuous-time and discrete-time representations Möbius transformation (complex analysis): a rational function of the form f(z) = (az +...

isomorphism to the Möbius group. The following table lists the six generators, in which The first column gives a generator of the flow under the Möbius action (after...

itself is conformal if and only if it is a Möbius transformation. The complex conjugate of a Möbius transformation preserves angles, but reverses the orientation...