physics. Möbius geometries and their transformations generalize this case to any number of dimensions over other fields. Möbius transformations are named...
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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...
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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...
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named after him, including the Möbius plane, the Möbius transformations, important in projective geometry, and the Möbius transform of number theory. His...
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Conformal geometry (redirect from Möbius geometry)
locally conformal to a Möbius geometry, meaning that there exists an angle preserving local diffeomorphism from the manifold into a Möbius geometry. In two...
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switch between continuous-time and discrete-time representations Möbius transformation (complex analysis): a rational function of the form f(z) = (az +...
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Zhegalkin polynomial (section Möbius transformation)
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 )...
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Lorentz group (redirect from Parabolic transformation)
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...
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Examples of Möbius transformations include dilations, rotations, translations, and complex inversion. In fact, any Möbius transformation can be written...
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