Results 61 to 70 of about 85,436 (135)

Rotational Invariance in Resting‐State fMRI: A Geometric Framework for Understanding Signal Processing and Connectivity

Concepts in Magnetic Resonance Part A, Volume 2026, Issue 1, 2026.
Resting‐state functional MRI (rsfMRI) analysis relies on complex mathematical operations whose properties and pitfalls are often poorly understood, leading to interpretational errors and suboptimal processing choices. This work presents novel mathematical insights for rsfMRI analysis through three key contributions: (1) a unified geometric framework ...
Chisondi S. Warioba, Gianluigi Veglia
wiley   +1 more source

Comparison of Integer‐, Constant‐, and Variable‐Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This study develops constant‐order (CO) and variable‐order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer‐order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention intensities.
Kiprotich Ezra Bett, Cyrus Gitonga Ngari, Grace Gakii Muthuri, Kareem Elgindy   +3 more
wiley   +1 more source

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

A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann, Thomas Hanschke, Arpan Hazra   +2 more
wiley   +1 more source

Iterative Optimization of the Maximum Directional Distance Function Model for Chinese Airline Transportation Efficiency Evaluations

Journal of Engineering, Volume 2026, Issue 1, 2026.
The maximum directional distance function (MDDF) model has been utilized extensively in diverse fields. However, due to practical constraints such as geographical factors, infrastructure limitations, and network scale, the theoretically improved projection paths derived from this model are often infeasible in real‐world applications.
Shenzi Yang, Fan Li, Arpan Hazra
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

The 3d Mixed BF Lagrangian 1-Form: A Variational Formulation of Hitchin's Integrable System. [PDF]

Commun Math Phys
Caudrelier V, Harland D, Singh AA, Vicedo B.   +3 more
europepmc   +1 more source

Kloosterman sums on orthogonal groups. [PDF]

Ramanujan J
Mujdei C.
europepmc   +1 more source

Twist Fields in Many-Body Physics. [PDF]

Entropy (Basel)
Doyon B.
europepmc   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
europepmc   +1 more source