Gröbner basis
In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K[x1, …, xn] over a field K. A Gröbner basis allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite. Gröbner basis computation is one of the main practical tools for solving systems of polynomial equations and computing the images of algebraic varieties under projections or rational maps.
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Grobner BasesGrobner BasisGrobner baseGrobner basesGrobner basisGroebner BasesGroebner BasisGroebner FanGroebner basesGroebner basisGröbner BasesGröbner BasisGröbner baseGröbner basesMultivariate division algorithmMultivariate polynomial divisionSaturation (commutative algebra)Saturation (commutative ring)
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Affine varietyAlgebra over a fieldAlgebraic curveAlgebraic geometryAlgebraic varietyBasisBernd SturmfelsBruno BuchbergerBuchberger's algorithmCoCoACommutative algebraComputer algebra systemConfluence (abstract rewriting)David A. CoxDavid MumfordDegree of an algebraic varietyDimension of an algebraic varietyDouble exponential functionElimination theoryFGLM algorithmFaugère's F4 and F5 algorithmsFilter bankFluid solutionFunctional programmingGlossary of commutative algebraGraver basisGrobner BasesGrobner BasisGrobner baseGrobner basesGrobner basisGroebner BasesGroebner BasisGroebner FanGroebner basesGroebner basisGröbner BasesGröbner BasisGröbner baseGröbner bases
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Gröbner basis
In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K[x1, …, xn] over a field K. A Gröbner basis allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite. Gröbner basis computation is one of the main practical tools for solving systems of polynomial equations and computing the images of algebraic varieties under projections or rational maps.
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Baza Gröbnera – szczególny spo ...... raca nie była znana poza ZSRR.
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Eine Gröbnerbasis (nach Bruno ...... ner und benannte sie nach ihm.
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Em álgebra computacional, geom ...... ecido fora da União Soviética.
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En matemàtiques, i més específ ...... commutatius i àlgebres, com .
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En mathématiques, une base de ...... ), plus faciles à appréhender.
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Gröbnerbaser är ett verktyg fö ...... baserna efter sin rådgivare .
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In algebra commutativa, algebr ...... le a dire generati da monomi).
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In de computeralgebra, de comp ...... jet-Unie grotendeels onbekend.
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In mathematics, and more speci ...... d algebras, like Ore algebras.
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Ба́зис Грёбнера — множество, к ...... ающее специальными свойствами.
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@en
title
Gröbner Basis
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Gröbner basis
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urlname
GroebnerBasis
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hypernym
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Baza Gröbnera – szczególny spo ...... ,
* w programowaniu liniowym.
@pl
Eine Gröbnerbasis (nach Bruno ...... ner und benannte sie nach ihm.
@de
Em álgebra computacional, geom ...... oblemas de programação inteira
@pt
En matemàtiques, i més específ ...... algebraiques per projeccions.
@ca
En mathématiques, une base de ...... ), plus faciles à appréhender.
@fr
Gröbnerbaser är ett verktyg fö ...... baserna efter sin rådgivare .
@sv
In algebra commutativa, algebr ...... asi Standard (Standard Basis).
@it
In de computeralgebra, de comp ...... e geheeltallige programmering.
@nl
In mathematics, and more speci ...... projections or rational maps.
@en
Ба́зис Грёбнера — множество, к ...... ающее специальными свойствами.
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Base de Gröbner
@ca
Base de Gröbner
@fr
Base de Gröbner
@pt
Base di Gröbner
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Baza Gröbnera
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Gröbner basis
@en
Gröbner-basis
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Gröbnerbas
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Gröbnerbasis
@de
Базис Грёбнера
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