Results 81 to 90 of about 268 (182)

Real-world applications of number theory [PDF]

open access: yesریاضی و جامعه
The above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no.
Rahim Rahmati-Asghar
doaj   +1 more source

A novel approach to perturbative calculations for a large class of interacting boson theories

open access: yesNuclear Physics B, 2018
We present a method of calculating the interacting S-matrix to an arbitrary perturbative order for a large class of boson interaction Lagrangians. The method takes advantage of a previously unexplored link between the n-point Green's function and a ...
Kamil Brádler
doaj   +1 more source

On Matrix Linear Diophantine Equation-Based Digital-Adaptive Block Pole Placement Control for Multivariable Large-Scale Linear Process

open access: yesAppliedMath
This paper introduces a digital adaptive control framework for large-scale multivariable systems, integrating matrix linear Diophantine equations with block pole placement.
Belkacem Bekhiti   +4 more
doaj   +1 more source

Solution of an odds inversion problem [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Consider the problem of determining the possible numbers of balls of two different colors in an urn such that if two are drawn out at random, the odds that they are different colors are a given value. We present a general solution of this problem for all
Robert K. Moniot
doaj   +1 more source

On Linear Diophantine Equation

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.\
openaire   +1 more source

Almost repdigits in balancing and Lucas-balancing sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the balancing and Lucas-balancing sequences which are almost repdigits.
Manasi K. Sahukar, Hussain Basha
doaj   +1 more source

On Linear Diophantine Equations and Fibonacci Numbers

open access: yesJournal of Number Theory, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

DETECTION OF DEADLOCKS IN PARALLEL PROGRAMS AS SOLUTION OF LINEAR DIOPHANTINE EQUATIONS

open access: yesВестник Донского государственного технического университета, 2018
The method of detecting deadlocks in the distributed systems at the design stage of the system is considered. The system is presented in the form of a model through the formal specification by means of Petri nets.
Olga F. Babakhyan
doaj  

AN AUTHENTICATION METHOD BASED ON A DIOPHANTINE MODEL OF THE COIN BAG PROBLEM

open access: yesApplied Computer Science
 The article presents the so-called coin bag problem, which is modeled by linear Diophantine equations. The problem in question involves assessing the contents of a set of coins based on its weight.
Krzysztof NIEMIEC, Grzegorz BOCEWICZ
doaj   +1 more source

On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]

open access: yesJournal of Fuzzy Extension and Applications
Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala   +2 more
doaj   +1 more source

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