Axioms, Volume 15, Issue 2

The (3+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) problem was examined in this paper using the developed Exp-function method (DEFM) and Lie symmetry analysis. The objective of this research is studying the BKP equation to get novel exac...

This work is axiomatic and structural in nature and is not intended as a phenomenological physical theory, but as a framework clarifying minimal informational primitives from which geometric and dynamical descriptions may emerge. We present a backgro...

In clinical studies such as ophthalmologic or otolaryngologic research, bilateral correlated data frequently arise when outcomes are collected from paired organs or body parts. Since the measurements from such paired observations are usually highly c...

The second immanantal polynomial is one of the important directions in algebraic theory. Let $M=\left[m_{ij}\right]$ be an $n\times n$ matrix. The second immanant of matrix M is defined as $d_2\left(M\right)={\sum }_{\sigma \in S_n}\chi \left(\sigma \right){\prod }_{i=1}^n{m}_{i\sigma \left(i\right)}$, where $\chi$ is...

Closed-form analytic inverses allow explicit tracking of parameter effects, facilitate interpretation of experimental signals, and support solving inverse problems. Here, we derive a rigorous closed-form expression for the inverse Laplace transform o...

We study ratio-induced mismatch cost functions of the form $c(s,o)=J\left({\iota }_S\left(s\right)/{\iota }_O\left(o\right)\right)$ built from positive scale maps ${\iota }_S:S\to {\mathbb{R}}_{>0}$ and ${\iota }_O:O\to {\mathbb{R}}_{>0}$ and a penalty $J:(0,\infty )\to [0,\infty )$. Assuming inversion symmetry, strict...

In many scientific fields (e.g., statistics, data science, machine learning, and image processing), effectively quantifying the statistical difference between two probability distributions is an important task. Although a wide variety of measures hav...

Parallel–series systems are fundamental in many industrial and engineering applications, yet their reliability assessment and improvement remain challenging, particularly when components exhibit non-constant failure rates. This study addresses...

In this paper, we analyze the relationship between relay fusion frames and standard fusion frames in finite-dimensional real Hilbert spaces. We propose an optimal design method for tight relay fusion frames in the setting of orthogonal subspaces. Add...

This paper establishes a general parametric integral identity involving $(\mathfrak{n}+1)$-times differentiable stochastic processes, formulated entirely in terms of stochastic k-Caputo fractional derivatives. This identity serves as a unifying tool for deriving...

In this paper, we undertake a detailed study of pseudoparallel submanifolds of almost Kenmotsu $(\kappa ,\mu ,\nu )$-spaces, with particular emphasis on invariant submanifolds. By employing the $W_0$ and $W_1$ curvature tensors, we analyze several classes of...

Consider $\mathcal{A}$ as a unital ∗-algebra. Given elements $A,B\in \mathcal{A}$, the operations $A•B=AB+B{A}^{*}$ and ${[A,B]}_{*}=AB-B{A}^{*}$ represent the skew Jordan product and the skew Lie product, correspondingly. Within this study, we demonstrate that a nonlinear...

Wind represents a pervasive yet mechanistically distinct environmental factor that reshapes species interactions primarily through habitat compression—reducing effective habitat area via behavioral avoidance, rather than altering resource avail...

Powdery Mildew is a global plant disease caused by fungal species, causing powdery growth on various parts of plants. This study aims to develop, evaluate and simulate the transmission dynamics of Powdery Mildew in cashew plants using a stochastic di...

All rings considered are commutative with identity, and all modules are assumed to be unital. In this paper, we study R-modules in which every quasi-primary submodule is also primary; we refer to such modules as satisfying condition (*). We present s...

We study the Moore–Penrose inverse of idempotent operators on Hilbert $C^{*}$-modules. First, we extend the computation of the Moore–Penrose inverse of an idempotent operator and its difference from the range projection to this setting. This l...

Statistical distributions play a crucial role in analyzing real data with varying behavior. In this study, the exponentiated generalized Weibull-G family is discretized using the survival discretization method. Furthermore, a three-parameter discrete...

Colour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell&nda...

Let $\mathcal{A}$ be a unital ∗-algebra over the complex field $\mathbb{C}$, and let $\mathsf{\Psi }={\left\{{\psi }_m\right\}}_{m\in \mathbb{N}}$ be a nonlinear mixed bi-skew Jordan-type and skew Jordan higher derivation satisfies the relation ${\psi }_m(L_1\diamond L_2\diamond \dots \diamond L_{n-1}•L_n)=$...

Let $(T,d)$ be an unbounded and locally finite metric space that contains a distinguished element o. Let $L^{\infty }\left(T\right)$ denote the discrete Banach space and $L^0\left(T\right)$ its subspace of functions vanishing at infinity. First, we establish that the recurrence of...

This paper investigates a fractional diffusion equation incorporating a three-parameter damping. By employing a generalized Mittag–Leffler function alongside the associated Riemann–Liouville resolvent family, we establish the well-posedne...

We examine the effects from small, spatially localized permanent charges on ionic transport in narrow membrane channels. Our analysis is based on a one-dimensional steady-state Poisson–Nernst–Planck (PNP) model involving two oppositely ch...

In modern survey sampling, particularly when using stratified random sampling (StRS), the existence of outliers and model mis-specifications is a daunting challenge to the conventional parametric and nonparametric methods of estimating parameters. Th...

The Minkowski and Hölder inequalities play an important role in many areas of pure and applied mathematics, such as Convex Analysis, Probabilities, Control Theory, Fixed Point theorems, and Mathematical Economics. Also, non-additive measures, no...

We present a useful method to enhance parameter estimation precision (PEP) in quantum systems by mitigating the detrimental effects of decoherence and environmental noise. We consider a theoretical model featuring a single qubit coupled to a zero-tem...

This paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect diffe...

Let ${\mathcal{M}}_{\alpha }$ be the bilinear fractional maximal operator. In this paper, we prove that the commutators ${\mathcal{M}}_{\alpha ,b}^i$ in the i-th entry $(i=1,2)$ and the bilinear iterated commutators ${\mathcal{M}}_{\alpha ,\overrightarrow{b}}$ of ${\mathcal{M}}_{\alpha }$ are bounded operators from product weighte...

In this investigation, we examine the geometric character of almost Riemann solitons and gradient almost Riemann solitons in the context of perfect fluid solutions of the Einstein equations that admit a torse-forming vector field $\zeta$. We first exa...

Variant emergence continues to pose a threat to public health, despite the widespread use of vaccination. To quantify how vaccine strain compositions shape evolutionary and epidemiological outcomes, we extend a previous genotype-structured transmissi...

For the hierarchical normal and normal-inverse-gamma model, we derive the Bayesian estimator of the variance parameter in the normal distribution under Stein’s loss function—a penalty function that treats gross overestimation and underest...

Designing structure-preserving numerical schemes for the generalized Poisson-Nernst-Planck (PNP) system is challenging due to its inherent strong nonlinearity and coupling. In this paper, we propose a class of efficient, unconditional energy-stable s...

Flexible Job Shop Scheduling Problems with setup and transportation times (FJSP-TS) involve assigning operations to machines and sequencing them under additional time constraints, making the problem highly complex and common in modern manufacturing s...

We propose a novel mathematical framework for understanding consciousness as a dynamical phenomenon governed by nonlinear integrable equations. The central hypothesis identifies conscious state dynamics with the Painlevé VI equation and its co...

Soft-core Coulomb fluids, exemplified by the two-dimensional Gaussian-charge one-component plasma, serve as fundamental benchmarks for both mathematical theory and computational modeling of coarse-grained dynamics, including stochastic density functi...

Complexity (number of spanning trees) is an essential and significant component in the design of communication networks (graphs). To ensure strong resistance and stiffness and to enhance the probability of a connection between two vertices, improveme...

Let ${\mathrm{\Phi }}_N(X,Y)$ be the N-th classical modular polynomial and let $Z_0\left(N\right)=\{(X,Y)\in {\mathbb{C}}^2\mid {\mathrm{\Phi }}_N(X,Y)=0\}$ be the plane model of the modular curve $X_0\left(N\right)$. We present an explicit procedure that, for a prime ℓ, enumerates all non-cuspidal singular...

Functional data are nowadays routinely collected and stored in a wide variety of fields. Their adequate use and analysis are a challenge for the scientific community. Mathematically, each function can be understood as a sequence of infinite related n...

This paper develops an operator-oriented framework for spectral approximation in fractional calculus by introducing a fractional inner product defined through the Riemann-Liouville integral. Instead of modifying polynomial families, the proposed appr...

Quality inspection is a crucial step in ensuring product conformity and avoiding rework waste, while job priority constraints are prevalent in the production of complex products with assembly structures. This paper presents a modeling and solution fr...

The derivation of thin-film equations for liquid drops on an inclined plane is analyzed. It was found that the limiting corner angle of the contact line for such a drop should be close to 25 degrees, in accordance with observations. This is achieved...

We show that the Zitterbewegung of the electron arises as a real internal motion when spin is treated as a classical bivector rather than as a point fermion of the Dirac equation. In the Bivector Standard Model, physically meaningful dynamics reside...

The objective of this paper is to rigorously define the Kadec-Klee property for modular spaces endowed with a sequential convergence structure, and to demonstrate that this property leads to normal structure in such spaces. Consequently, we establish...

This paper proposes a data-driven control design framework for linear parameter-varying (LPV) systems with polyhedral and ellipsoidal constraints, where the input matrix of the system is constant. In contrast to traditional model-based approaches, th...

Probabilistic streamflow models play a pivotal role in quantifying hydrological uncertainty and form the backbone of modern risk management strategies for flood and drought forecasting, water allocation planning, and the design of resilient infrastru...

This paper provides several new characterizations of the infinitesimal bending of dual curves, which is defined as an infinitesimal deformation preserving dual arc length (with appropriate precision). The main goal is to consider the infinitesimal de...

In this work, we construct a new class of Appell-type polynomials generated through extended truncated and truncated exponential kernels, and we analyze their core algebraic and operational features. In particular, we establish a suitable recurrence...

In this article, we study polycyclic codes over the ring $R={\mathbb{F}}_q\left[v\right]/⟨v^2-1⟩$, where $q=p^m$ with p being an odd prime. First, we introduce polycyclic codes and sequential codes over R, and characterize the structural properties of these p...

The topic of chaotic thresholds for piecewise linear discontinuous (PWLD) systems with multiple-well potentials is a persistent topic in the research of a number of authors. In this article we investigate the chaos of a modified piecewise linear disc...

In many empirical studies, researchers face challenges when addressing sensitive topics as respondents may be reluctant to provide truthful answers due to privacy concerns. Traditional direct survey methods often yield biased or unreliable estimates...

The natural generalization of the XLindley distribution is proposed. The mathematical properties of the generalized XLindley distribution are derived. The importance of the proposed model is evaluated on the first-order autoregressive process, and co...