Results 41 to 50 of about 983 (218)
The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions
Axioms, 2023 In this paper, we find a formula for the largest integer (p-Frobenius number) such that a linear equation of non-negative integer coefficients composed of a Jacobsthal triplet has at most p representations.
Takao Komatsu, Claudio Pita-Ruiz
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Algorithms for the Solution of Systems of Linear Diophantine Equations [PDF]
SIAM Journal on Computing, 1982 Two algorithms for the solution of linear Diophantine systems, which well restrain intermediate expression swell, are presented. One is an extension and improvement of Kannan and Bachem’s algorithm for the Smith and the Hermite normal forms of a nonsingular square integral matrix.
Tsu-Wu J. Chou, George E. Collins
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Using Matrices to Balance Chemical Reactions and Modeling the Implications of a Balanced Reaction
Undergraduate Journal of Mathematical Modeling: One + Two, 2019 This paper explores an alternative way to balancing equations of chemical reactions and understanding why it is necessary to use balanced equations in science.
Emilee Barrett
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О существовании порождающей КС-грамматики для произвольной линейной диофантовой системы [PDF]
Проблемы анализа, 1999 В работе доказывается существование контекстно-свободной грамматики и терминальной цепочки, порождающих произвольно заданную систему линейных диофантовых уравнений (ЛДУ).In this paper we prove the existance of a context-free grammar and a terminal string,
Корзун Д. Ж.
doaj
Algebraic Principles as a Tool for Energy Saving
Chemical Engineering Transactions, 2020 This paper discusses algebraic approaches of control design for a set of Single Input – Single Output (SISO) delayed systems that are further developed and discussed.
Roman Prokop, Jirí Korbel, Libor Pekar
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
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On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]
, 2010 In this paper, we present a simple and fast method for counting the number of nonnegative integer solutions to the equality a1x1+a2x2+: : :+arxr = n where a1; a2; :::; ar and n are positive integers.
Farzaneh , A. +3 more
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On the moments of exponential sums over r$r$‐free polynomials
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
wiley +1 more source
Integral zeroes of Krawtchouk polynomials [PDF]
, 2012 This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
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Linear forms in logarithms and exponential Diophantine equations [PDF]
, 2020 This paper aims to show two things. Firstly the importance of Alan Baker's work on linear forms in logarithms for the development of the theory of exponential Diophantine equations.
Rob Tijdeman, Tijdeman, Rob
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