Results 61 to 70 of about 1,468,677 (198)
Meromorphic differential equations having all monomials as solutions [PDF]
Archiv der Mathematik, 1992 In this paper one considers ordinary differential equations with meromorphic coefficients of the form \(F(y(x),y^{(1)}(x),\dots,y^{(r)}(x))=0\), where \(F(Y_ 0,Y_ 1,\dots,Y_ r)\) is a polynomial in the variables \(Y_ 0,\dots,Y_ r\) with coefficients in the field \(\mathbb{C}\{x\}[x^{-1}]\) of convergent Laurent series in \(x\) over \(\mathbb{C}\).
openaire +3 more sources
Monomial Representations for Gröbner Bases Computations [PDF]
, 1998 Monomial representations and operations for Gröbner bases computations are investigated from an implementation point of view. The technique of vectorized monomial operations is introduced and it is shown how it expedites computations of Gröbner bases ...
Bachmann, Olaf +3 more
core +1 more source
Maximal independence and regularity of Al/Si distributions in disordered phyllosilicates 2:1
Acta Crystallographica Section A, Volume 82, Issue 6, Page 472-485, November 2026.The distribution of aluminium cations in disordered phyllosilicates is analysed according to the concepts of maximal independence and regularity.As an extension of previous works, we analyse regularity in disordered Al/Si distributions in phyllosilicates 2:1. The method is based on an analysis of maximal independent sets in a labelled quotient graph of
Montauban Moreira de Oliveira Jr +1 more
wiley +1 more source
A Family of q-General Bell Polynomials: Construction, Properties and Applications
MathematicsThis paper introduces a new family of q-special polynomials, termed q-general Bell polynomials, and systematically explores their structural and analytical properties.
Mohamed S. Algolam +6 more
doaj +1 more source
Weighted veronese rings via convex semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property.
Bek Chase +6 more
wiley +1 more source
On pseudo symmetric monomial curves
, 2018 We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of these toric ideals, give a characterization for these monomial algebras to have ...
ŞAHİN, MESUT, Sahin, Nil
core +2 more sources
Selector form of Weaver's conjecture and frame sparsification
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract We show an extension of a probabilistic result of Marcus, Spielman, and Srivastava, which resolved the Kadison–Singer problem, to block diagonal positive semidefinite random matrices. We use this result to show several selector results, which generalize their partition counterparts.
Marcin Bownik
wiley +1 more source
Normality criteria for monomial ideals [PDF]
, 2022 In this paper we study the normality of monomial ideals using linear programming and graph theory. We give normality criteria for monomial ideals, for ideals generated by monomials of degree two, and for edge ideals of graphs and clutters and their ...
Dupont, Luis A. +2 more
core
Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source