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transformation group

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  • transformation group — transformacijų grupė statusas T sritis fizika atitikmenys: angl. transformation group vok. Transformationsgruppe, f rus. группа преобразований, f pranc. groupe de transformations, m …   Fizikos terminų žodynas

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia

  • Transformation (function) — In mathematics, a transformation could be any function mapping a set X on to another set or on to itself. However, often the set X has some additional algebraic or geometric structure and the term transformation refers to a function from X to… …   Wikipedia

  • Transformation (geometry) — In mathematics, a transformation could be any function from a set X to itself. However, often the set X has some additional algebraic or geometric structure and the term transformation refers to a function from X to itself which preserves this… …   Wikipedia

  • Transformation of culture — Transformation of culture, or cultural change, to the dynamic process whereby the living cultures of the world are changing and adapting to external or internal forces. This process is occurring within Western culture as well as non Western and… …   Wikipedia

  • Transformation semigroup — In algebra, a transformation semigroup (or composition semigroup) is a collection of functions from a set to itself which is closed under function composition. If it includes the identity function, it is a transformation (or composition) monoid.… …   Wikipedia

  • transformation — transformational, adj. /trans feuhr may sheuhn/, n. 1. the act or process of transforming. 2. the state of being transformed. 3. change in form, appearance, nature, or character. 4. Theat. a seemingly miraculous change in the appearance of… …   Universalium

  • Group representation — In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group… …   Wikipedia

  • Transformation de Mellin — En mathématiques, la transformation de Mellin est une transformation intégrale qui peut être considérée comme la version multiplicative (en) de la transformation de Laplace bilatérale. Cette transformation intégrale est fortement reliée à la …   Wikipédia en Français

  • Transformation geometry — In mathematics, transformation geometry is a name for a pedagogic theory for teaching Euclidean geometry, based on the Erlangen programme. Felix Klein, who pioneered this point of view, was himself interested in mathematical education. It took… …   Wikipedia

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