Results 61 to 70 of about 110,884 (185)

Good Integers: A Structural Review With Applications to Polynomial Factorization and Algebraic Coding Theory

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
For nonzero coprime integers a and b, a positive integer l is said to be good with respect to a and b if there exists a positive integer k such that l divides ak + bk. Since the early 1990s, the notion of good integers has attracted considerable attention from researchers. This continued interest stems from both their elegant number‐theoretic structure
Somphong Jitman, Anwar Saleh Alwardi
wiley   +1 more source

Study of (p, q)‐Symmetric Starlike Functions of Order η

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan, Rashid Murtaza, Adnan, Mohammad Khalid Nasrat, Ozgur Ege   +4 more
wiley   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Exploring Graph Product Operations Through Eccentricity Connectivity Coindex: A Comprehensive QSPR Analysis of Octane Isomers

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, the first eccentricity connectivity coindex is introduced as ECI¯G=∑uv∉EGε2u+ε2v, in which ε(u) denotes the eccentricity of the vertex u in the simple connected graph G. Then, the exact expressions are obtained for the first eccentricity connectivity coindex of some graph products.
Suha Wazzan, Gul Ozkan Kizilirmak, Zafar Ullah   +2 more
wiley   +1 more source

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +1 more source

Efficient and Accurate Computation of Arbitrary‐Order Eigenpair Sensitivities Using Hypercomplex Automatic Differentiation

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT Eigenvalue and eigenvector sensitivities with respect to design parameters are crucial for advancing design, optimization, and uncertainty quantification in structural systems. This paper introduces a novel, efficient, and general numerical method for computing arbitrary‐order sensitivities of eigenpairs in self‐adjoint undamped and ...
Juan C. Velasquez‐Gonzalez, Mauricio Aristizabal, Juan David Navarro, Harry R. Millwater, David Restrepo   +4 more
wiley   +1 more source

Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms. [PDF]

Philos Trans A Math Phys Eng Sci
Minenkova A, Mograby G, Zhan H.
europepmc   +1 more source

MATHEMATICAL FUNDAMENTALS OF ALGEBRAIC LATTICIES AND THEIR APPLICATION IN QUANTUM CRYPTOLOGY

The ongoing development of quantum computers threatens state-of-the-art public key cryptographic schemes, such as discrete logarithm factorization key generation schemes, digital signatures, and elliptic curve cryptography. It is necessary to develop new cryptographic algorithms capable of resisting the attacks of quantum computers.
openaire   +1 more source

Transitivity, contextuality and decision making. [PDF]

Philos Trans A Math Phys Eng Sci
Sulis WH.
europepmc   +1 more source

A generalized atomic system of N-level atom within the framework of ([Formula: see text]) JCM interacting with one-mode field solved via supersymmetric approach. [PDF]

Sci Rep
Zait RA.
europepmc   +1 more source