Results 41 to 50 of about 908,506 (166)
A Computer Algebra Approach to Linear ODE Systems with Parametric Coefficients [PDF]
Control and Optimization in Applied MathematicsThis paper analyzes systems of linear first-order ordinary differential equations (ODEs) with parametric coefficients, a class of problems that arises in control theory, optimization, and applied mathematics.
Mahdi Dehghani Darmian
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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Gröbner bases and products of coefficient rings
, 2002 Suppose that A is a finite direct product of commutative rings. We show from first principles that a Gröbner basis for an ideal of A[x1,..., xn] can be easily obtained by ’joining’ Gröbner bases of the projected ideals with coefficients in the factors of
G.H. Norton (7168307) +1 more
core +6 more sources
, 2020 In this work, we focus on the study of Gröbner's bases and some of their properties. Firstly defining what a monomial order is, then immediately presenting a division algorithm for polynomials in several variables with coefficients on a $ \mathbb{K ...
Santos, Pedro Augusto Diniz
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On The (De)Homogenization of Sagbi-Gröbner Bases for Modules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization.
Kanwal Nazish, Khan Junaid Alam
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Magnetic Resonance in Medicine, Volume 95, Issue 6, Page 3187-3198, June 2026.Purpose Provide the theoretical foundation and the first practical demonstration of spatiotemporal encoding (SPEN) using additional nonlinear gradient hardware. Methods The quadratic phase profile can be generated either by a chirped‐RF pulse combined with a constant gradient or, directly, by a quadratic gradient pulse.
Andreas Holl +8 more
wiley +1 more source
Comprehensive Gröbner bases [PDF]
, 1992 Let K be an integral domain and let S be the polynomial ring K[U1,.., Um; X1,.., Xn]. For any finite F ⊆ S, we construct a comprehensive Gröbner basis of the ideal Id(F), i.e. a finite ideal basis of Id(F) that is a Gröbner basis of Id(F) in K′[X1, …, Xn]
Weispfenning, Volker
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Strong Gröbner bases for polynomials over a principal ideal ring [PDF]
, 2001 Gröbner bases have been generalised to polynomials over a commutative ring A in several ways. Here we focus on strong Gröbner bases, also known as D-bases.
G.H. Norton (7168307) +1 more
core +5 more sources
Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
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Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
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