Results 41 to 50 of about 202 (150)
Isochronous Behavior and Diophantine Relations for Complex-Valued Nonlinear Systems [PDF]
, 2022 Isochronous systems are not rare in dynamical systems. Three complex-valued nonlinear systems (quadratic and cubic nonlinearity, van der Pol, gyroscopic oscillator) are investigated by an asymptotic perturbation method based on Fourier expansion and time
Attilio Maccari
core +1 more source
Narayana Numbers With Zeckendorf Partition in Two Terms
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Narayan’s cow sequence starts with the terms 1, 1, and 1. Each subsequent term is obtained as the sum of the previous term and the term three places before. A term of this sequence is called a Narayana number. The mathematician Zeckendorf proved that every positive integer has a unique decomposition into a sum of distinct and nonconsecutive ...
Japhet Odjoumani +2 more
wiley +1 more source
Parameter Constraints and Real Structures in Quadratic Semicomplete Vector Fields on C3
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.It is a remarkable fact that among the known examples of quadratic semicomplete vector fields on C3, it is always possible to find linear coordinates where the corresponding vector field has all—or “almost all”—coefficients in the real numbers. Indeed, the coefficients are very often integral.
Daniel de la Rosa Gómez, Shikha Binwal
wiley +1 more source
On Introduction to (q1, q2)‐Linear Diophantine Fuzzy Sets and Their Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The notion of parameter mappings is about creating and managing a structured relationship between parameters across different systems or processes. This concept is vital in ensuring that data remains consistent, correctly interpreted, and accurately transformed as it moves through different parts of a system or between different systems. In this paper,
Muhammad Bilal Khan +7 more
wiley +1 more source
Solutions of cubic equations in quadratic fields [PDF]
, 1999 Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equations, which represent elliptic curves defined over Q, in quadratic fields and prove some interesting results regarding the solutions by using elementary ...
Chakraborty, K. +3 more
core
Solutions To Certain Families of Thue Equations [PDF]
, 1993 We consider the problem of finding (effectively) all the solutions to infinite families of Thue equations. We define a broad class of cubic Thue equations for which this is always possible, provided that the family satisfies a certain mild condition. The
Thomas, E.
core +1 more source
Elementary Number Theory Problems. Part X – Diophantine Equations [PDF]
, 2023 This paper continues the formalization of problems defined in the book “250 Problems in Elementary Number Theory” by Wacław Sierpiński.Faculty of Computer Science, University of Białystok, PolandGrzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur ...
Korniłowicz, Artur
core +1 more source
A Deterministic Method to Construct a Common Supercell Between Two Similar Crystalline Surfaces
Small Methods, Volume 8, Issue 12, December 19, 2024.By employing a binary (or pre‐calculated table) search, the transformation matrix (T${\bm{T}}$) can be directly determined from the lattice parameters and rotation angle of the two given crystalline surfaces with O(log Nmax) time complexity, where Nmax is the maximum index of repetition matrix elements.
Weon‐Gyu Lee, Jung‐Hoon Lee
wiley +1 more source
THE MATH ENCYCLOPEDIA OF SMARANDACHE TYPE NOTIONS [PDF]
, 2013 About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy).
COMAN, Marius
core +1 more source
, 2021 The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists.
Browning, Timothy D ; https://orcid.org/
core +1 more source