Results 81 to 90 of about 145,133 (276)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

SEE Transform Technique in Control Theory

Journal of Kufa for Mathematics and Computer
As in the Laplace transform technique, a new integral technique called SEE (Sadiq-Emad-Eman) transform is submitted. Showed propositions and important properties of SEE integral technique for differentiate of functions and showed shifting property for ...
nour kareem, Emad Kuffi, Eman Mansour, Ahmad Jalal Issa   +3 more
doaj   +1 more source

The Exit Time and the Dividend Value Function for One-Dimensional Diffusion Processes

Abstract and Applied Analysis, 2013
We investigate the exit times from an interval for a general one-dimensional time-homogeneous diffusion process and their applications to the dividend problem in risk theory. Specifically, we first use Dynkin’s formula to derive the ordinary differential
Peng Li, Chuancun Yin, Ming Zhou
doaj   +1 more source

Disentangling Aleatoric and Epistemic Uncertainty in Physics‐Informed Neural Networks: Application to Insulation Material Degradation Prognostics

Advanced Intelligent Systems, EarlyView.
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez, Jokin Alcibar, Joel Pino, Mikel Sanz, Jose I. Aizpurua   +4 more
wiley   +1 more source

Birth–Death Processes with Two-Type Catastrophes

Mathematics
This paper concentrates on the general birth–death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth–death processes with two-type catastrophes is successfully expressed with the ...
Junping Li
doaj   +1 more source

Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

Mathematics, 2016
In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

Solving Fractional Difference Equations Using the Laplace Transform Method

Abstract and Applied Analysis, 2014
We discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.
Li Xiao-yan, Jiang Wei
doaj   +1 more source

About Inverse Laplace Transform of a Dynamic Viscosity Function. [PDF]

Materials (Basel), 2022
Urbanowicz K, Bergant A, Grzejda R, Stosiak M.   +3 more
europepmc   +1 more source

On solving the chlorine transport model via Laplace transform. [PDF]

Sci Rep, 2022
Aljohani AF, Ebaid A, Algehyne EA, Mahrous YM, Agarwal P, Areshi M, Al-Jeaid HK.   +6 more
europepmc   +1 more source

Two‐Phase Nanofluid Flow in a Non‐Newtonian Model Past a Deformable Sheet With Magnetized Environmental Effects: Statistical Modeling and ANOVA Analysis

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo, MD. Shamshuddin, Subhajit Panda, Umair Khan   +3 more
wiley   +1 more source