algebraic set

  • 1Algebraic set — In mathematics, an algebraic set over a field K is the set of solutions in K n ( n tuples of elements of K ) of a set of simultaneous equations: P 1( X 1, ..., X n ) = 0: P 2( X 1, ..., X n ) = 0and so on up to: P m ( X 1, ..., X n ) = 0for some… …

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  • 2Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… …

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  • 3Algebraic variety — This article is about algebraic varieties. For the term a variety of algebras , and an explanation of the difference between a variety of algebras and an algebraic variety, see variety (universal algebra). The twisted cubic is a projective… …

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  • 4Algebraic specification — [cite book|title=Algebraic Specification|first=J. A.|last=Bergstra|coauthors=B. Mahr|publisher=Academic Press|date=1989|isbn=0 201 41635 2] [cite book|title=Algebraic Specification|first=E.|last=Ehrig|coauthors=J. Heering, J.… …

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  • 5Algebraic notation (chess) — Algebraic notation Algebraic notation (or AN) is a method for recording and describing the moves in a game of chess. It is now standard among all chess organizations and most books, magazines, and newspapers. In English speaking countries, AN… …

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  • 6Algebraic chess notation — is used to record and describe the moves in a game of chess. It is now standard among all chess organizations and most books, magazines, and newspapers. In English speaking countries, it replaced the parallel system of descriptive chess notation …

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  • 7Algebraic combinatorics — is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. It is one of the… …

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  • 8Algebraic statistics — is a fairly recent field of statistics which utilizes the tools of algebraic geometry and commutative algebra in order to study problems related to discrete random variables with finite state spaces. Such problems include parameter estimation,… …

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  • 9Algebraic character — is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite dimensional representation and is analogous to the Harish Chandra character of the representations of… …

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  • 10Algebraic code excited linear prediction — (ACELP) is a speech encoding algorithm where a limited set of pulses is distributed as excitation to linear prediction filter.The ACELP method is widely employed in current speech coding standards such as AMR, EFR, AMR WB and ITU T G series… …

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