Results 41 to 50 of about 3,886,089 (197)
The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions
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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Using Matrices to Balance Chemical Reactions and Modeling the Implications of a Balanced Reaction
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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Algorithms for the Solution of Systems of Linear Diophantine Equations [PDF]
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
openaire +2 more sources
О существовании порождающей КС-грамматики для произвольной линейной диофантовой системы [PDF]
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
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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Grain Boundary Structure Ordering via Electroshock Treatment Enhances Strength‐Ductility Synergy
Electroshock treatment triggers atomic rearrangement, transforming disordered grain boundaries into ordered states without inducing recrystallization. This grain boundary ordering effectively relieves strain concentration and strengthens boundaries, enabling a simultaneous improvement in both strength and ductility.
Jiancheng Chen +6 more
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ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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An algorithm to solve systems of linear homogeneous diophantine equations is given here. Subsequently, as an example of application, a method of heuristic search for the best solution is described; this fulfils certain conditions within an infinite space
Alfonso Recuero, J. Pedro Gutiérrez
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On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
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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