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...

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...

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

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

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...

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

polynomial. This is the partial order version of the Möbius formula, not the number theoretic. The Möbius inversion formula for partial orders is: g ( x )...

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