REPOSITORY COLLECTION
This paper investigates the distribution of symmetric prime pairs around the midpoint of even integers. For a given even integer $2n$, prime pairs $(p_1,p_2)$ symmetrically positioned about $n$ are considered, satisfying $$ n-p_1 = p_2…
View publication →This paper develops a comprehensive categorical and spectral framework for the analysis of evolving X-top lattices. An X-top lattice is modeled as a bounded distributive lattice endowed with an interior-type operator, while an evolving X-t…
View publication →The study of symmetry remains one of the most important themes in modern mathematical physics, providing a rigorous framework for understanding conservation laws, quantum state transitions, and dynamical invariants. Finite groups offer nat…
View publication →The choice of algebraic structure is a central problem in modern cryptography, especially in the transition from classical public-key schemes to quantum-resistant security models. Classical cryptographic systems such as RSA and elliptic cu…
View publication →The migration from classical public-key cryptography to post-quantum cryptography requires systematic methods for identifying algebraic structures whose computational properties remain secure against both classical and quantum adversaries.…
View publication →Typhoid fever is a highly infectious disease, and remains a major public health problem, especially in low- and middle-income countries, despite several interventions such as environmental sanitation, personal hygiene, vaccination, and tre…
View publication →We introduce and study an implicit deformation geometry generated by the nonlinear balance law. We establish the existence and uniqueness of the implicit branch, smooth dependence on transport and deformation parameters, transport sensiti…
View publication →Stroke prediction is a significant problem in computational medicine because stroke occurrence is influenced by nonlinear interactions among demographic, physiological, and lifestyle risk variables. This paper develops a journal-ready math…
View publication →The interaction between finite algebraic structures and cryptographic systems motivates the search for unified frameworks that can connect homomorphism enumeration, quotient constructions, fuzzy algebraic actions, and conjugacy-class metho…
View publication →Let $A=(Q,\Sigma,\delta,q_0,F)$ and $B=(Q,\Sigma,\delta',q_0,F)$ be deterministic finite automata on the same state set and with the same input alphabet. For each word $w\in\Sigma^*$, let $\delta_w,\delta'_w\in Q^Q$ be the induced transfor…
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