Academic Articles & Research Papers

Naturalism in Mathematics

Abstract It is well known that certain natural statements of set theory, like Cantor's continuum hypothesis (CH), cannot be proved or disproved on the basis of the standard axioms (Zermelo–Fraenkel with Choice or ZFC). Some philosophers tak...

The Mathematics of Marriage

Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage pro...

Constructivism, mathematics and mathematics education

Mathematics and the sciences of the heavens and the earth

List of illustrations List of tables List of abbreviations Acknowledgements Author's note 19. Mathematics 20. Astronomy 21. Meteorology 22. The Sciences of the Earth 23. Geography and cartography 24. Geology (and related sciences) 25. Seism...

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...

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...

Implementation of a Transform-Minutiae Fusion-Based Model for Fingerprint Recognition

Biometrics consists of scientific methods of using a person’s unique physiological or behavioral traits for electronic identification and verification. The traits for biometric identification are fingerprint, voice, face, and palm print rec...

Methods of solving of the optimal stabilization problem for stationary smooth control systems. Part I

In this article some ideas of Hamilton mechanics and differential-algebraic Geometry are used to exact definition of the potential function (Bellman-Lyapunov function) in the optimal stabilization problem of smooth finite-dimensional system...

Editorial: Use of AR/MR/VR in the context of occupational safety and health

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...

Induction Motor Parameter Identification Using a Gravitational Search Algorithm

The efficient use of electrical energy is a topic that has attracted attention for its environmental consequences. On the other hand, induction motors represent the main component in most industries. They consume the highest energy percenta...

International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences publishes research across all fields of mathematics and mathematical sciences, such as pure and applied mathematics, mathematical physics, probability and mathematical statistic...

Realism in Mathematics

Abstract Many mathematicians understand their work as an effort to describe the denizens and features of an abstract mathematical world or worlds. Most philosophers of mathematics consider views of this sort highly problematic, largely due ...

The Indispensability of Mathematics

Abstract Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best sci...

The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice

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...

Numerical Mathematics

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...