Results 101 to 110 of about 1,205,224 (205)

Characterization of Diophantine Equations a+y2=z2, Pythagorean n-Tuples, and Algebraic Structures

open access: yesInternational Journal of Mathematics and Mathematical Sciences
Let N,Z, and Q be the sets of natural, integers, and rational numbers, respectively. Our objective, involving a predetermined positive integer a, is to study a characterization of Diophantine equations of the form a+y2=z2. Building on this result, we aim
Roberto Amato
doaj   +1 more source

Lecture on Congruence\u27s and Diophantine Equations [PDF]

open access: yes, 1960
News release announcing Dr. I Albert Barnett\u27s lecture on Congruence\u27s and Diophantine Equations

core   +1 more source

SOLUTIONS OF SOME LINEAR DIOPHANTINE EQUATIONS

open access: yes, 2017
This paper concerns with the problem of obtaining solutions of some linear Diophantine ...
P. Reka
core   +1 more source

Diophantine equations in separated variables. [PDF]

open access: yesPeriod Math Hung, 2018
Kreso D, Tichy RF.
europepmc   +1 more source

An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences
Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the ...
K. M. Abirami   +3 more
doaj   +1 more source

All solutions of consecutive natural numbers sum equation and their closed forms

open access: yesAl-Jabar
Purpose: This study aims to find a closed-form solution for all ordered pairs of natural numbers (?,?) satisfying the consecutive natural number sum equation 1 + 2 + ⋯ + ? sama dengan (? + 1) + (? + 2) + ⋯ + ?. This research contributes to number theory,
Sofihara Al Hazmy   +3 more
doaj   +1 more source

Extremal fixed points and Diophantine equations

open access: yesJournal of High Energy Physics
The coupling constants of fixed points in the ϵ expansion at one loop are known to satisfy a quadratic bound due to Rychkov and Stergiou. We refer to fixed points that saturate this bound as extremal fixed points.
Christopher P. Herzog   +3 more
doaj   +1 more source

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