Academic Articles & Research Papers

The Mathematics of Diffusion

Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and syste...

ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS

Principles of Mathematics

First published in 1903, Principles of Mathematics was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that ...

Mathematics Form and Function

A conceptual model of mathematical reasoning for school mathematics

Mathematics and Visualization

Mathematics, mathematicians, and mathematics education

I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honor-able tradition. In this lecture, I illustrate some of the ways that I think this can...

On compound operators depending on s parameters

In this note we introduce a compound operator depending on \(s\) parameters using binomial sequences. We compute the values of this operator on the test functions, we give a convergence theorem and a representation of the remainder in...

Rule Quality Measures Settings in a Sequential Covering Rule Induction Algorithm - an Empirical Approach

Design Recommendations for Immersive Virtual Reality Application for English Learning: A Systematic Review

The growing popularity of immersive virtual reality (iVR) technologies has opened up new possibilities for learning English. In the literature, it is possible to find several studies focused on the design, development, and evaluation of imm...

El lío de los grandes números

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Een internationale benadering van de verwerking van pensioenen in de jaarrekening (deel 2)

Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem

Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...

Understanding older adults’ continuance intention toward smart locks: a socio-technical study based on the Expectation-Confirmation Model of Information Systems and Task-Technology Fit Model

Background As aging populations continue to grow, smart home technologies—such as smart locks—have become increasingly essential to support older adults’ independent living. Long-term use remains a challenge, however, with most studies focu...

Application of a Novel Multi-Agent Optimization Algorithm Based on PID Controllers in Stochastic Control Problems

The article considers the problem of finding the optimal on average control of the trajectories of continuous stochastic systems with incomplete feedback. This class of problems includes control problems in which the initial states are desc...

Different Behavior of 2-Substituted 3-Nitro-2<i>H</i>-chromenes in the Reaction with Stabilized Azomethine Ylides Generated from α-Iminoesters

The AgOAc-catalysed reaction of 3-nitro-2-phenyl-2H-chromenes with stabilized azomethine ylides generated from the imines based on methyl glycinate and arylaldehydes leads to a mixture of endo and endo’ isomers of the corresponding chromeno...

Mathematical Epidemiology

Handbook of Mathematical Functions

The Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables was the culmination of a quarter century of National Bureau of Standards (NBS) work on core mathematical tools. Evaluating commonly occurring mathematical...

The Mathematical Universe

Encyclopaedia of mathematical sciences

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