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  2. List of transforms - Wikipedia

    en.wikipedia.org/wiki/List_of_transforms

    Affine transformation (Euclidean geometry) Bäcklund transform; Bilinear transform; Box–Muller transform; Burrows–Wheeler transform (data compression) Chirplet transform; Distance transform; Fractal transform; Gelfand transform; Hadamard transform; Hough transform (digital image processing) Inverse scattering transform; Legendre ...

  3. YΔ- and ΔY-transformation - Wikipedia

    en.wikipedia.org/wiki/YΔ-_and_ΔY-transformation

    ΔY- and YΔ-transformations are a tool both in pure graph theory as well as applications. Both operations preserve a number of natural topological properties of graphs. . For example, applying a YΔ-transformation to a 3-vertex of a planar graph, or a ΔY-transformation to a triangular face of a planar graph, results again in a planar graph.

  4. Transformation (function) - Wikipedia

    en.wikipedia.org/wiki/Transformation_(function)

    In mathematics, a transformation, transform, or self-map [1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. [ 2 ] [ 3 ] [ 4 ] Examples include linear transformations of vector spaces and geometric transformations , which include projective transformations , affine transformations , and ...

  5. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    The transformation of graphs is often formalized and represented by graph rewrite systems. Complementary to graph transformation systems focusing on rule-based in-memory manipulation of graphs are graph databases geared towards transaction-safe, persistent storing and querying of graph-structured data.

  6. Data transformation (statistics) - Wikipedia

    en.wikipedia.org/wiki/Data_transformation...

    The reciprocal transformation, some power transformations such as the Yeo–Johnson transformation, and certain other transformations such as applying the inverse hyperbolic sine, can be meaningfully applied to data that include both positive and negative values [10] (the power transformation is invertible over all real numbers if λ is an odd ...

  7. Joukowsky transform - Wikipedia

    en.wikipedia.org/wiki/Joukowsky_transform

    Example of a Joukowsky transform. The circle above is transformed into the Joukowsky airfoil below. In applied mathematics, the Joukowsky transform (sometimes transliterated Joukovsky, Joukowski or Zhukovsky) is a conformal map historically used to understand some principles of airfoil design.

  8. Graph rewriting - Wikipedia

    en.wikipedia.org/wiki/Graph_rewriting

    Sometimes graph grammar is used as a synonym for graph rewriting system, especially in the context of formal languages; the different wording is used to emphasize the goal of constructions, like the enumeration of all graphs from some starting graph, i.e. the generation of a graph language – instead of simply transforming a given state (host ...

  9. Translation (geometry) - Wikipedia

    en.wikipedia.org/wiki/Translation_(geometry)

    Starting from the graph of f, a horizontal translation means composing f with a function ⁠ ⁠, for some constant number a, resulting in a graph consisting of points ⁠ (, ()) ⁠. Each point ⁠ ( x , y ) {\displaystyle (x,y)} ⁠ of the original graph corresponds to the point ⁠ ( x + a , y ) {\displaystyle (x+a,y)} ⁠ in the new graph ...

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