Academic Articles & Research Papers

Dengue serotype immune-interactions and their consequences for vaccine impact predictions

Dengue is one of the most important and wide-spread viral infections affecting human populations. The last few decades have seen a dramatic increase in the global burden of dengue, with the virus now being endemic or near-endemic in over 10...

GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL

Abstract:In this paper, we consider the classical viral dynamic mathematical model. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number, the HIV infection is cleared from the T-cell popu...

Introduction to Mathematical Philosophy

"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless th...

The Mathematics of Diffusion.

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTThe Mathematics of Diffusion.J. W. Westwater and H. G. DrickamerCite this: J. Am. Chem. Soc. 1957, 79, 5, 1267Publication Date (Print):March 1, 1957Publication History Published online1 May 2002Pu...

MATHEMATICAL COMPETENCIES AND THE LEARNING OF MATHEMATICS: THE DANISH KOM PROJECT

This paper presents the Danish KOM project (KOM: Competencies and the Learning of Mathematics), initiated by the Ministry of Education and other official bodies in order to create a platform for in-depth reform of Danish mathematics educati...

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 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...

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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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...

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...

Actuarial Mathematics.

(1986). Actuarial Mathematics. By Newton L. Bowers, Jr., Hans U. Gerber, James C. Hickman, Donald A. Jones, Cecil J. Nesbitt. The American Mathematical Monthly: Vol. 93, No. 6, pp. 489-491....

Visualization in Logic and Mathematics

Mathematics: The Loss of Certainty

The World of Mathematics

Volume 1: general survey, Philip E.B.Jourdain historical and biographical, Herbert Westren Turnbull et al arithmetic, numbers and the art of counting, Archimedes et al mathematics of space and motion, William Kingdon Clifford et al. Volume ...

Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study

This study illuminates claims that teachers' mathematical knowledge plays an important role in their teaching of this subject matter. In particular, we focus on teachers' mathematical knowledge for teaching (MKT), which includes both the ma...

Solving a class of distributed-order time fractional wave-diffusion differential equations using the generalized fractional-order Bernoulli wavelets

In this research, we propose a new numerical method for solving a class of distributed-order fractional partial differential equations, specifically focusing on distributed-order time fractional wave-diffusion equations. The method begins b...

Existence of solutions to fractional p-Laplacian problems with Robin boundary conditions

This article  studies the existence of solutions for the  fractional p-Laplacian problem $$\displaylines{ (-\Delta)_p^su=\lambda|u|^{q-2}u+ \frac{|u|^{r-2}u}{|x|^\alpha}, \quad \hbox{in } \Omega,\cr {N}_{s,p}u(x)+\beta(x)|u|^{p-2}u=0,  \qua...