Results 11 to 20 of about 238 (137)
The Influence of Omega-3 Fatty Acids and Probiotics on Hippocampal Inflammation and Glial Cells in a Chronic Anorexia Nervosa Rat Model. [PDF]
Int J Eat DisordABSTRACT Objective Anorexia nervosa (AN) is a severe eating disorder associated with brain volume reduction, glial cell loss, microbiome alterations, and dysregulated pro‐inflammatory mechanisms. However, the underlying cellular mechanisms remain inadequately elucidated, and interventions addressing these alterations are lacking.
Thelen AC +17 more
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An Algorithm to Compute the H-Bases for Ideals of Subalgebras
Discrete Dynamics in Nature and Society, 2021 The concept of H-bases, introduced long ago by Macauly, has become an important ingredient for the treatment of various problems in computational algebra.
Rabia +4 more
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Chiral rings, Futaki invariants, plethystics, and Gröbner bases
Journal of High Energy Physics, 2021 We study chiral rings of 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futaki invariants, it is not enough to only include the test symmetry ...
Jiakang Bao, Yang-Hui He, Yan Xiao
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Oracle-supported drawing of the Gröbner escalier
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 The aim of this note is to discuss the following quite queer problem: to compute the Gröbner basis of an ideal I w.r.t. a term-ordering ≺ without knowing neither the ideal nor the term-ordering but only a degree bound of the required Gröbner basis, being
Maria Emilia Alonso +2 more
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A note on Computing SAGBI-Grobner bases in a Polynomial Ring over a Field [PDF]
Computer Science Journal of Moldova, 2006 In the paper [2] Miller has made concrete Sweedler's theory for ideal bases in commutative valuation rings (see [5]) to the case of subalgebras of a polynomial ring over a field, the ideal bases are called SAGBI-Grobner bases in this case.
Hans Ofverbeck
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An Algebraic Approach to Identifiability
Algorithms, 2021 This paper addresses the problem of identifiability of nonlinear polynomial state-space systems. Such systems have already been studied via the input-output equations, a description that, in general, requires differential algebra.
Daniel Gerbet, Klaus Röbenack
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Computer Science Journal of Moldova, 1996 Some algorithms for singularity theory and algebraic geometry The use of Grobner basis computations for treating systems of polynomial equations has become an important tool in many areas.
Hans Schonemann
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Geometric vertex decomposition and liaison
Forum of Mathematics, Sigma, 2021 Geometric vertex decomposition and liaison are two frameworks that have been used to produce similar results about similar families of algebraic varieties. In this paper, we establish an explicit connection between these approaches.
Patricia Klein, Jenna Rajchgot
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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
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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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