Academic Articles & Research Papers

Polynomially Quasi-mth-Helton class of Hilbert spaces operators.

The Evolution of COVID-19 Transmission with Superspreaders Class under Classical and Caputo Piecewise Operators: Real Data Perspective from India, France, and Italy

In this study, we analyze the transmission of the COVID-19 model by using a piecewise operator in the classical Caputo sense. The existence along with the uniqueness of the solution of the COVID-19 model under a piecewise derivative is pres...

An Image Encryption Transmission Scheme Based on a Polynomial Chaotic Map

Most existing chaotic systems have many drawbacks in engineering applications, such as the discontinuous range of chaotic parameters, weak chaotic properties, uneven chaotic sequence outputs, and dynamic degradation. Therefore, based on the...

Effects of compression running pants and treadmill running stages on knee proprioception and fatigue-related physiological responses in half-marathon runners

Background: Knee injury is common in half-marathon runners, however, the effect of compression running pants on fatigue and knee proprioception remains unclear.Objectives: The study aims to investigate whether wearing compression running pa...

Algae-Mamba: A Spatially Variable Mamba for Algae Extraction From Remote Sensing Images

To maintain marine ecosystem health, effective algae monitoring is essential. Traditional threshold-based methods and standard machine learning techniques often fall short in accurately and automatically distinguishing algae types. This stu...

Sensitivity Analysis and Uncertainty Quantification of Nanoparticle Deposition from Tongue Morphological Variations

The human tongue has highly variable morphology. Its role in regulating respiratory flows and deposition of inhaled aerosols remains unclear. The objective of this study was to quantify the uncertainty of nanoparticle deposition from the va...

The Numerical Solution of Fractional Parabolic Partial Integro-Differential Eequations by Gaussian and Inverse Multiquadric Radial Basis Functions

Introduction Many mathematical formulations of physical phenomena contain integro-differential equations. These equations arise in fluid dynamics, biological models, chemical kinetics, ecology, control theory of financial mathematics, aeros...

Utilizing the Finite Fourier Series to Generate Quadrotor Trajectories Through Multiple Waypoints

Motion planning is critical for ensuring precise and efficient operations of unmanned aerial vehicles (UAVs). While polynomial parameterization has been the prevailing approach, its limitations in handling complex trajectory requirements ha...

Computational Adaptive Optics for HAR Hybrid Trench Array Topography Measurement by Utilizing Coherence Scanning Interferometry

High aspect ratio (HAR) sample-induced aberrations seriously affect the topography measurement for the bottom of the microstructure by coherence scanning interferometry (CSI). Previous research proposed an aberration compensating method usi...

IP Controller Design for Uncertain Two-Mass Torsional System Using Time-Frequency Analysis

With the development of industrial production, drive systems are demanded for larger inertias of motors and load machines, whereas shafts should be lightweight. In this situation, it will excite mechanical vibrations in load side, which is ...

Tridiagonal matrices representations of generalized bivariate complex polynomials

This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants. Furtherm...

Extended Fibonacci numbers and polynomials with probability applications

The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers...

Faktorisasi Polinomial Square-Free dan bukan Square-Free atas Lapangan Hingga Zp

Abstrak: Faktorisasi polinomial merupakan suatu proses penguraian suatu  polinomial berderajat n menjadi polinomial-polinomial lain yang berderajat lebih kecil dari n.  Faktorisasi polinomial atas lapangan hingga  merupakan suatu proses pen...

Mathematical Methods for Physicists

Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian ...

Bilateral generating functions for a new class of generalized Legendre polynominals

Recently Chatterjea (1) has proved a theorem to deduce a bilateral generating function for the Ultraspherical polynomials. In the present paper an attempt has been made to give a general version of Chatterjea's theorem. Finally, the theorem...

Determinantal Sieving

We introduce determinantal sieving, a new, remarkably powerful tool in the toolbox of algebraic FPT algorithms. Given a polynomial $P(X)$ on a set of variables $X=\{x_1,\ldots,x_n\}$ and a linear matroid $M=(X,\mathcal{I})$ of rank $k$, bot...

Matrix Mathematics

When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brin...

ODE, regression, and ANN models for energy forecasting: Egypt as a study case

Energy plays a crucial role in national development, influencing critical sectors such as industry, agriculture, healthcare, and education. Accurate energy consumption prediction is essential for efficient energy management, helping prevent...

Strengthening Crypto-1 Cipher Against Algebraic Attacks

In the last few years, several studies addressed the problem of data security in Mifare Classic. One of its weaknesses is the low random number quality. This causes SAT solver attacks to have lower complexity. In order to strengthen Crypto-...

Design, analysis, and experimental research on installation robot for hanging column

Abstract To address the challenges of labor-intensive operations, high safety risks, and low operational efficiency in the installation of hanging columns within tunnels, we propose a robotics-based mechanized and automated solution. First,...