Results 41 to 50 of about 268 (182)
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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Non-Linear Diophantine Equation
International Journal For Multidisciplinary Research, 2023 This paper is an important study about these Non-Linear Equation which have integer solution exists. i.e., Non-Linear Diophantine Equation, which have named by the famous Greek Mathematician Diophantus of Alexandria. In this paper we have focused to solve Non-Linear Diophantine Equations.
Jeetendra kumar -, S. N. Adhikary -
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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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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.
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Random Diophantine equations in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
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Efficient solution of linear diophantine equations
Journal of Symbolic Computation, 1989 The paper gives a new method for finding complete information about all nonnegative solutions of a linear homogeneous or inhomogeneous diophantine equation \[ \sum_{i=1}^{m}a_ix_i- \sum_{j=1}^{n}b_jy_j=c, \] where the \(a_i's\) and \(b_j's\) are positive integers and \(c\) is \(0\) resp. a positive integer.
Michael Clausen, Albrecht Fortenbacher
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Kripke on Gödel Incompleteness
Theoria, Volume 92, Issue 3, June 2026.ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
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Materiales de Construccion, 1984 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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