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  2. Sequence transformation - Wikipedia

    en.wikipedia.org/wiki/Sequence_transformation

    Sequence transformations that are not linear are called nonlinear sequence transformations. In the context of series acceleration, when the original sequence () and the transformed sequence (′) share the same limit as , the transformed sequence is said to have a faster rate of convergence than the original sequence if ′ =

  3. Series acceleration - Wikipedia

    en.wikipedia.org/wiki/Series_acceleration

    Two classical techniques for series acceleration are Euler's transformation of series [1] and Kummer's transformation of series. [2] A variety of much more rapidly convergent and special-case tools have been developed in the 20th century, including Richardson extrapolation, introduced by Lewis Fry Richardson in the early 20th century but also known and used by Katahiro Takebe in 1722; the ...

  4. Linear fractional transformation - Wikipedia

    en.wikipedia.org/wiki/Linear_fractional...

    Linear fractional transformations leave cross ratio invariant, so any linear fractional transformation that leaves the unit disk or upper half-planes stable is an isometry of the hyperbolic plane metric space. Since Henri Poincaré explicated these models they have been named after him: the Poincaré disk model and the Poincaré half-plane model.

  5. Binomial transform - Wikipedia

    en.wikipedia.org/wiki/Binomial_transform

    In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences. It is closely related to the Euler transform, which is the result of applying the binomial transform to the sequence associated with its ordinary generating function.

  6. Sequence transform - Wikipedia

    en.wikipedia.org/?title=Sequence_transform&...

    Download QR code; Print/export Download as PDF; Printable version; Appearance. move to sidebar hide. From Wikipedia, the free encyclopedia. Redirect page ...

  7. Shanks transformation - Wikipedia

    en.wikipedia.org/wiki/Shanks_transformation

    In numerical analysis, the Shanks transformation is a non-linear series acceleration method to increase the rate of convergence of a sequence. This method is named after Daniel Shanks, who rediscovered this sequence transformation in 1955. It was first derived and published by R. Schmidt in 1941.

  8. Symmetrical components - Wikipedia

    en.wikipedia.org/wiki/Symmetrical_components

    Set of three unbalanced phasors, and the necessary symmetrical components that sum up to the resulting plot at the bottom. In 1918 Charles Legeyt Fortescue presented a paper [4] which demonstrated that any set of N unbalanced phasors (that is, any such polyphase signal) could be expressed as the sum of N symmetrical sets of balanced phasors, for values of N that are prime.

  9. Gabor transform - Wikipedia

    en.wikipedia.org/wiki/Gabor_transform

    An inverse transformation of these N spectral partitions then leads to N values y(k) for the time window, which consists of N sample values. For overall M time windows with N sample values, each signal y ( k ) contains K = N ⋅ {\displaystyle \cdot } M sample values: (the discrete Gabor representation)