Results 11 to 20 of about 4,479,316 (202)

On Using Linear Diophantine Equations for in-Parallel Hiding of Decision Tree Rules [PDF]

open access: yesEntropy, 2019
Data sharing among organizations has become an increasingly common procedure in several areas such as advertising, marketing, electronic commerce, banking, and insurance sectors.
Georgios Feretzakis   +2 more
doaj   +2 more sources

On Linear Diophantine Equation [PDF]

open access: yes, 2017
{"references": ["1.\tDickson. L. E, History of the Theory of Numbers, Vol.2, Chelsea, New York, 1952. 2.\tKirch. A. M, Elementary Number Theory, In tent Educational \tpublisher, New York, 1974. 3.\tNagell. T, Introduction to Number Theory, Stockholm and New York, 1951. 4.\tOre. O, Number Theory and its History, McGraw \u2013 Hill. New York. 1948. 5.\
Dr. D. Ramprasad
openaire   +2 more sources

Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations [PDF]

open access: yesFormal Methods in System Design, 2008
Abstract: "The use of Craig interpolants has enabled the development of powerful hardware and software model checking techniques. Efficient algorithms are known for computing interpolants in rational and real linear arithmetic. We focus on subsets of integer linear arithmetic.
Himanshu Jain   +2 more
openaire   +5 more sources

Efficient solution of linear diophantine equations

open access: yesJournal 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
openaire   +2 more sources

Solving Linear Diophantine Equations And Linear Congruential Equations

open access: yes, 2012
This report represents GCD, euclidean algorithm, linear diophantine equation and linear congruential equation. It investigates the methods for solving linear diophantine equations and linear congruential equations in several variables. There are many examples which illustrate the methods for solving equations.
Yesilyurt, Deniz
core   +4 more sources

On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]

open access: yes, 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
core   +6 more sources

Integral zeroes of Krawtchouk polynomials [PDF]

open access: yes, 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
core   +7 more sources

Matrix Diophantine equations over quadratic rings and their solutions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
The method for solving the matrix Diophantine equations over quadratic rings is developed. On the basic of the standard form of matrices over quadratic rings with respect to $(z,k)$-equivalence previously established by the authors, the matrix ...
N.B. Ladzoryshyn   +2 more
doaj   +1 more source

Integral geometry on discrete matrices

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
doaj   +1 more source

S-Restricted Compositions Revisited [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
An S-restricted composition of a positive integer n is an ordered partition of n where each summand is drawn from a given subset S of positive integers. There are various problems regarding such compositions which have received attention in recent years.
Behrouz Zolfaghari   +2 more
doaj   +1 more source

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