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An infinite family of counterexamples to a question of Camina

A.R. Camina and R.D. Camina posed the following question: Suppose there are two finite groups, one nilpotent and the other non-nilpotent, and the two groups share identical sets of conjugacy class sizes; must the non-nilpotent group possess a non-trivial center? Recently, W. Zhou...

A Transformer-Based Method for Automated Segmentation and Quantitative Evaluation of Lipid Plaques in IVOCT Images

The formation and rupture of coronary lipid-rich plaques represent key pathophysiological mechanisms underlying acute coronary syndrome, and their accurate identification is of substantial clinical value for guiding interventional strategies and assessing prognosis. Intravascular...

Enumerating the number of spanning trees and the Asymptotic Behavior of Some Wheel Related Graphs

Wheel graphs are fundamental structures in graph theory and network architectures. Their importance arises mostly from the fact that they are planar, self-dual graphs used to mimic central hub-and-spoke networks, such as transportation and communication systems, and to study netw...

On characterization of Double Danielewski type algebras

Let k be a field. In this paper, we consider Double Danielewski type algebras over an affine factorial k-domain R. We observe that this family produces a non-cancellative family of algebras over R. Further, when k is a field of characteristic zero, we give a characterization for...

Hermite-Hadamard-Type Inequalities for h -Preinvex Functions via Generalized Fractional Integrals

Research on fractional-order Hermite-Hadamard (H-H) inequalities has predominantly relied on single convexity assumptions, limiting its adaptability to generalized convexity contexts such as h-preinvex functions. This paper refines the framework of fractional-order H-H inequaliti...

Binary Classifier Wire-Resistance Attack on KLJN: Bayes-Optimal Limit at a Narrow Resistor Gap

Machine learning is shown not to increase Eve’s successful bit-guessing probability in the binary-classifier-based wire-resistance attack on the Kirchhoff Law-Johnson Noise (KLJN) key exchange when the resistor gap is narrow. Using time-domain simulations of a non-ideal KLJN loop...

A Two-Hidden-Layer Shallow Neural Network for Solving the Nonlinear Rumor Spreading Model

Motive: The design of a shallow neural network with two hidden layers is presented for solving a mathematical rumor spreading model, which is divided into exposed, stiflers, and ignorant. Method: A structure of shallow neural networks is designed using two-hidden layers taking lo...

Tumor growth simulation using the multigrid method

A multigrid method is applied to accelerate the numerical solution of a nonlinear coupled system of partial differential equations modeling avascular tumor growth. The model describes the interaction between tumor cell density, extracellular matrix, matrix-degrading enzymes, and...

Toward AI-Enabled Precision Exercise: Neurophysiological Effects of Acute Moderate-Intensity Resistance Exercise on Executive Function in College Students with Different Motor Skill Backgrounds

With the rapid advancement of artificial intelligence (AI) and intelligent healthcare technologies, integrating neuroimaging with exercise interventions has emerged as a promising strategy for promoting cognitive health and precision medicine. This study investigated the immediat...

Perception of visual noise patterns depends on correlations produced in V1: A simulation study

Visual noise is widely used as a stimulus in vision science, yet the neural representation of noise itself remains poorly understood. We investigated how external visual noise is encoded in the primary visual cortex (V1) using a biologically inspired neural network model (VOneNet...

Domain-Adapted Surrogate Modeling for Ripple Optimization in Integrated Buck Converters

Designing high-performance DC-DC converters using integrated Power Management ICs (PMICs) is often constrained by the black-box nature of internal compensation networks, rendering traditional analytical design methods imprecise. This paper proposes a Domain-Adapted Surrogate Mode...

Light Deflection and Greybody Bound Around a BTZ-ModMax Black Hole in Plasma Medium

We study the deflection of light in a homogeneous plasma medium around a BTZ-ModMax black hole, focusing on the effects of the ModMax nonlinear electrodynamics parameter and the cosmological constant. Using the Gauss-Bonnet theorem applied to the corresponding optical geometry in...

The group of Abelian supersymmetry transformations isomorphic to groups of superspace tetrad transformations

Through a series of papers many results in group theory have been proven. These results establish a direct link between the local gauge groups of transformations of the Standard Model and local groups of transformations of a new kind of tetrad vectors in four-dimensional Lorentzi...

Field-Induced Dynamic Impedance Characteristics of a Magnetorheological Damper

A key challenge in evaluating magnetorheological (MR) dampers for rotor systems is that magnetic-field-induced force enhancement does not directly indicate useful energy dissipation. The dissipative effectiveness of the increased force depends on the coupling between dynamic impe...

Implication of f(ℛ,ℒm,𝒯 ) gravity on the anisotropic compact stars and mass-radius relations under NICER radii measurements of PSR J0740+6620

In this work, we have investigated the consequences happen to a configuration of a neutron star when gravity itself is modified by a non-minimal coupling between matter and geometry. Particularly, we explore a new exact analytical solution for anisotropic compact stars using the...

Efficiency, Curvature, and Complexity of Quantum Evolutions for Qubits in Nonstationary Magnetic Fields

In optimal quantum-mechanical evolutions, motion can take place along paths of minimal length within an optimal time frame. Alternatively, optimal evolutions may occur along established paths without any waste of energy resources and achieving 100% speed efficiency. Unfortunately...

Strong Gravitational Lensing by Lorentzian-Euclidean Black Hole

We investigate the strong gravitational lensing properties of the Lorentzian Euclidean black hole, a spacetime in which the horizon at [Formula: see text] is not a coordinate singularity but a genuine surface of signature change, with the associated curvature singularities remove...

Non-Hermitian 𝒫𝒯 symmetric Klein-Gordon fields in Lorentz-violating wormholes spacetime background

We investigate a [Formula: see text]-symmetric Klein–Gordon (KG) oscillator in a [Formula: see text]-dimensional Lorentz-violating (LV) traversable wormhole spacetime. The geometry is characterized by a smooth throat of radius [Formula: see text] and a constant lapse function, [F...

Just-infinite jordan banach algebras

By analogy with the well-established notions of just-infinite groups and just-infinite algebras, in particular [Formula: see text]-algebras, we initiate a study of just-infinite [Formula: see text]-algebras, i.e., infinite dimensional [Formula: see text]-algebras for which all pr...

Effects of Spatial Curvature on Blackbody Radiation: An Analog Model for Modified Radiation Laws

In this paper, we investigate the effects of spatial curvature on blackbody radiation using an analog model based on a quantum harmonic oscillator on a circle. Through a gnomonic projection, the curved oscillator is mapped onto a straight-line coordinate representation, while the...