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Contemporary Mathematics, Volume 7 Issue 3 (2026)



Open Access Article

Compression with Wildcards: All k-Models of a Binary Decision Diagram

by Marcel Wild, Yves Semegni

ABSTRACT: A bitstring of length n is an element of {0 , 1} n . Further the bitstring (say) (0 , 0 , 1 , 0 , 1 , 1 , 0) has Hamming - weight 3, since 3 times "1" occurs. A function of type...

Open Access Article

A Novel Romanovski-Jacobi Spectral Collocation Scheme for Fourth-Order ψ Fractional Sub-Diffusion Models

by M. A. Abdelkawy, A. Emin, Anjan Biswas

ABSTRACT: This paper presents a novel Romanovski-Jacobi (R-J) spectral collocation scheme for numerically solving Fourth-Order ψ -Fractional Sub-Diffusion models (FO- ψ FSDEs). These models, which are...

Open Access Article

A Mathematical Application Method for Configuring Rail-Water Intermodal Transportation Equipment in Container Terminals

by Wu Jinlong, Gao Yunfeng, Ding Xiaobing

ABSTRACT: The quantity configuration of loading, unloading, and transfer equipment at intermodal hubs for container rail-water transportation significantly impacts terminal operational efficiency. This...

Open Access Article

Two Classes of Irreducible Polynomials over Finite Fields

by Wensi An, Hongfeng Wu

ABSTRACT: Let p be a prime, q be a power of p and t be a positive integer. In this paper, we construct stable polynomials of the form over by Capelli's lemma. We also solve the problem by...

Open Access Article

The CNs Tensor Product of Graphs: Structure, Spectra and Application

by Subha A. B., Sreekumar K. G., E. M. Elsayed, M. M. El-Dessoky, A. A. Alghamdi

ABSTRACT: In this study, we present a product graph called CN s tensor product based on the concept of CN s vertices—those with identical neighborhoods. The structure of this product graph is closely...

Open Access Article

On the Quaternion-Valued Fractional Differential Equation with Hyers-Ulam Stability

by Faten H. Damag, Mohammad Alshammari, Amin Saif, Adem Kilicman, Hakeem A. Othman, Suliman Dawood

ABSTRACT: This paper investigates the Hyers-Ulam stability of linear Quaternion-Valued Fractional Differential Equations (QVFDEs) in both homogeneous and non-homogeneous forms. By exploiting the...

Open Access Article

Impacts of Viscous Dissipation and Nanoparticle Flow in Pressure-Driven Hydrosphere and Atmosphere Interface on Climate Change: A Numerical Perspective

by Hossam A. Nabwey, Rabia Iqbal ‎, Muhammad Ashraf, A. M. Rashad, Abdallah aldurayhim, M. Nour

ABSTRACT: The effects of natural convection heat transfer from the hydrosphere to the atmosphere are investigated numerically on the climate in current work under the assumptions that the hydrosphere phase...

Open Access Article

Algebraic Semigroups of Multiple-State Optimal Design Problems

by M. I. Sampson, R. B. Abubakar, Mohamed M Awad, Reny George

ABSTRACT: This paper develops an algebraic framework for modeling multiple-state optimal design problems through semigroup theory. By introducing a natural semigroup structure on the space of feasible...

Open Access Article

Common Fixed Point Results of Asymptotically Regular Mappings in Generalized Metric Spaces with Application

by Kiran Riaz, Abdul Rahim Khan, Saud M. Alsulami, Nawab Hussain

ABSTRACT: In this paper, we establish common fixed point results for two regular asymptotic mappings in b -metric spaces and strong b -metric spaces. Our main result deals with regular asymptotic...

Open Access Article

DEA-Inspired Constrained Log-Log Quantile Frontier: Smooth Bench-marking, Calibration, and Dynamic Interpretation

by Vladislav Spitsin, Nikita Martyushev, Lubov Spitsina, Gasanov Magerram, Victoria Leonova

ABSTRACT: This paper proposes a Data Envelopment Analysis (DEA)-inspired smooth benchmarking approach based on a constrained log-log quantile production frontier. The frontier is estimated by quantile...

Open Access Article

Asymptotic Analytic Framework for Pruning Dynamics in Numerical Semigroups

by Vivian Ndfutu Nfor, Fahad Alshammari, Marshal I. Sampson, Hossam A. Nabwey, Louis E. Essien, Reny George

ABSTRACT: This paper investigates asymptotic bounds for the length density of factorizations in numerical and more general atomic semigroups, introducing a unified algorithmic and analytic treatment through...

Open Access Article

Optimizing Multi-Commodity Fixed-Charge Solid Transportation Under Spherical Fuzzy Environment: A Multi-Objective Perspective

by Vishwas Deep Joshi, Priya Agarwal, Lenka Čepová, Huda Alsaud, B. Swarna, Ajay Kumar

ABSTRACT: In today's dynamic and complex logistics networks, decision makers must simultaneously balance transporta-tion cost, delivery time, and service quality in multi-commodity systems involving fixed...