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elementary group

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  • Elementary group theory — In mathematics, a group is defined as a set G and a binary operation on G , called product and denoted by infix * . Product obeys the following rules (also called axioms). Let a , b , and c be arbitrary elements of G . Then: *A1, Closure. a * b… …   Wikipedia

  • Elementary — Elementary: *Education ** Elementary education, consists of the first years of formal, structured education that occur during childhood. **Elementary school, a school providing elementary or primary education. Historically, a school in the UK… …   Wikipedia

  • 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 (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

  • Group dynamics — is the study of groups, and also a general term for group processes. Relevant to the fields of psychology, sociology, and communication studies, a group is two or more individuals who are connected to each other by social relationships. [Forsyth …   Wikipedia

  • Group method of data handling — (GMDH) is a family of inductive algorithms for computer based mathematical modeling of multi parametric datasets that features fully automatic structural and parametric optimization of models. GMDH is used in such fields as data mining, knowledge …   Wikipedia

  • Elementary abelian group — In group theory an elementary abelian group is a finite abelian group, where every nontrivial element has order p where p is a prime.By the classification of finitely generated abelian groups, every elementary abelian group must be of the form:(… …   Wikipedia

  • Elementary amenable group — In mathematics, a group is called elementary amenable if it can be built up from finite groups and abelian groups by a sequence of simple operations that result in amenable groups when applied to amenable groups. Since finite groups and abelian… …   Wikipedia

  • Elementary schools in Japan — Shōgakkō (小学校) are elementary schools in Japan.More than 99% of Japanese elementary school age children are enrolled in school. All children enter first grade at age six, and starting school is considered a very important event in a child s… …   Wikipedia

  • Elementary particle — In particle physics, an elementary particle or fundamental particle is a not known to have substructure; that is, it is not known to be made up of smaller particles. If an elementary particle truly has no substructure, then it is one of the basic …   Wikipedia

  • Elementary matrix — In mathematics, an elementary matrix is a simple matrix which differs from the identity matrix in a minimal way. The elementary matrices generate the general linear group of invertible matrices, and left (respectively, right) multiplication by an …   Wikipedia

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