Results 41 to 50 of about 4,479,316 (202)
Subconvexity for additive equations: Pairs of undenary cubic forms [PDF]
We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as large as the ...
Brueden, Joerg +4 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Abstract Thermophilic anaerobic digestion (AD) is an attractive process due to its higher biogas yield compared to mesophilic digestion. To mitigate its higher heating demand and potential process instability, a dual‐layer control architecture comprising a decision‐making layer and an adaptive model predictive control (MPC) system is proposed.
Ali Moradvandi +3 more
wiley +1 more source
SOLUTIONS OF SOME LINEAR DIOPHANTINE EQUATIONS
This paper concerns with the problem of obtaining solutions of some linear Diophantine ...
P. Reka
core +1 more source
Weighted veronese rings via convex semigroups
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
Linear Diophantine equations and congruences [PDF]
This bachelor's thesis summarizes and systematizes knowledge about congruences and linear Diophantine equations. This work is divided into two parts. The first part is dedicated to congruences.
Kaňáková, Natálie
core
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
doaj +1 more source

