Results 31 to 40 of about 908,506 (166)
Gröbner Bases and Applications
, 1998 The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major
Buchberger, Bruno, Winkler, Franz
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Computation of Difference Grobner Bases [PDF]
Computer Science Journal of Moldova, 2012 This paper is an updated and extended version of our note \cite{GR'06} (cf.\ also \cite{GR-ACAT}). To compute difference \Gr bases of ideals generated by linear polynomials we adopt to difference polynomial rings the involutive algorithm based on Janet ...
Vladimir P. Gerdt, Daniel Robertz
doaj
Hybrid approach for solving multivariate systems over finite fields
Journal of Mathematical Cryptology, 2009 In this paper, we present an improved approach to solve multivariate systems over finite fields. Our approach is a tradeoff between exhaustive search and Gröbner bases techniques.
Bettale Luk +2 more
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Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source
Gröbner bases of modules over σ − PBW extensions. [PDF]
, 2010 En el trabajo se desarrolla la teoría de bases de Gröbner para submódulos del A – módulo libre Am con A = σ (R ) x1, …, xn , se implementa un algoritmo para el cálculo efectivo de las bases de Gröbner en el caso cuasi-conmutativo biyectivo y se presentan
Jiménez Tafur, Haydee
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The Role of Meprins on the Brain Extracellular Matrix and Perineuronal Nets
The FASEB Journal, Volume 40, Issue 13, 15 July 2026.Meprin β overexpression is implicated in Alzheimer's Disease. Recent studies identified brevican as a meprin β substrate, and this study demonstrates that meprin α co‐expression enhances meprin β‐mediated brevican cleavage. Further, neurocan and RPTPζ were identified as novel meprin β substrates in an N‐terminomics analysis of meprin β transgenic mice,
Simon Kreiselmaier +13 more
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Reduced Gröbner Bases Under Composition [PDF]
, 1998 In this paper we contribute with one main result to the interesting problem initiated by Hong (1998, J. Symb. Comput. 25, 643–663) on the behaviour of Gröbner bases under composition of polynomials.
Rosario Rubio San Miguel +3 more
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International Journal of Climatology, Volume 46, Issue 9, July 2026.Monthly average aerosol optical depth at 320 nm obtained with a Brewer MKIII spectrophotometer for Hobart, Australia (42.8806° S, 147.3250° E) over a 21‐year period. There is a linear trend of 15.4% per decade. There are 9 months when the average aerosol optical depth exceeds twice the monthly standard deviation.
Manuel Nuñez +3 more
wiley +1 more source
Canonical bases for subalgebras of factor algebras [PDF]
Computer Science Journal of Moldova, 1999 We introduce canonical bases for subalgebras of quotients of the commutative and non-commutative polynomial ring. The usual theory for Grobner bases and its counterpart for subalgebras of polynomial rings, also called SAGBI bases, are combined to obtain ...
P. Nordbeck
doaj
Computing Gröbner and Involutive Bases for Linear Systems of Difference Equations
EPJ Web of Conferences, 2018 The computation of involutive bases and Gröbner bases for linear systems of difference equations is solved and its importance for physical and mathematical problems is discussed.
Yanovich Denis
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