linear fractional transformation
Look at other dictionaries:
Linear Fractional Transformation — Eine Möbiustransformation, manchmal auch Möbiusabbildung genannt, bezeichnet in der Mathematik eine konforme Abbildung der riemannschen Zahlenkugel auf sich selbst. Sie ist benannt nach August Ferdinand Möbius. Die allgemeine Formel der… … Deutsch Wikipedia
linear fractional transformation — Math. See Möbius transformation … Useful english dictionary
Linear canonical transformation — Paraxial optical systems implemented entirely with thin lenses and propagation through free space and/or graded index (GRIN) media, are Quadratic Phase Systems (QPS). The effect of any arbitrary QPS on an input wavefield can be described using… … Wikipedia
Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… … Wikipedia
Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − … Wikipedia
Möbius transformation — Math. a map of the complex plane to itself in which a point z is mapped to a point w by w = (az + b)/(cz + d), where a, b, c, and d are complex numbers and ad bc does not equal zero. Also called bilinear transformation, linear fractional… … Universalium
Möbius transformation — Math. a map of the complex plane to itself in which a point z is mapped to a point w by w = (az + b)/(cz + d), where a, b, c, and d are complex numbers and ad bc does not equal zero. Also called … Useful english dictionary
Projective transformation — A projective transformation is a transformation used in projective geometry: it is the composition of a pair of perspective projections. It describes what happens to the perceived positions of observed objects when the point of view of the… … Wikipedia
Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… … Wikipedia
Schwarzian derivative — In mathematics, the Schwarzian derivative is a certain operator that is invariant under all linear fractional transformations. Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and… … Wikipedia
