Advances in Mathematics Research. Volume 21

Albert R. Baswell (Editor)

Series: Advances in Mathematics Research
BISAC: MAT027000

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“Advances in Mathematics Research” presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include modern works in the field of mathematical modeling of intracellular processes; the improvement of Bezier basis function efficiency in object surface modeling; performance evaluation of simultaneous coding of scatter matrices in Two-Dimensional Linear Discriminant Analysis; the differential inequalities that make it possible to build a global theory of pseudoholomorphic functions in the case of one or several complex variables; recent advances on short interest rate models which can be formulated in terms of a stochastic differential equation for the instantaneous interest rate (also called short rate) or a system of such equations in case the short rate is assumed to depend on other stochastic factors; and structural transformations in the relationships between mathematics and music up to the Renaissace and the emergence of the idea of number as a continuous quantity. (Imprint: Nova)

Preface

Chapter 1. Mathematical Modeling of Intracellular Processes
P. M. Gotovtsev, Ya. E. Sergeeva, A. V. Komova, I. A. Konova, K. V. Gorin, G. U. Badranova, V. M. Pojidaev and R. G. Vasilov (National research centre ―Kurchatov Institute‖, NBICS-centre, Biotechnology and Bioenergy laboratory, Moscow, Russian Federation)

Chapter 2. Improving the Efficiency of Bezier Basis Function in Object Surface Modeling
J. A. Muñoz-Rodríguez (Centro de Investigaciones en Optica, A. C. Leon, Gto, Mexico)

Chapter 3. Performance Evaluation of Two-Dimensional Linear Discriminant Analysis for Images
Tetsuya Yoshida and Yuu Yamada (Graduate School of Humanities and Science, Nara Women’s University, Japan, and others)

Chapter 4. From Pseudoholomorphic Functions to the Associated Real Manifold
Giampiero Esposito and Raju Roychowdhury (INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Napoli, Italy, and others)

Chapter 5. Numerical and Analytical Methods for Bond Pricing in Short Rate Convergence Models of Interest Rates
Zuzana Bučková, Beáta Stehlíková and Daniel Ševčovič (Department of Applied Mathematics and Statistics, Comenius University, Bratislava, Slovakia)

Chapter 6. Structural Transformations in the Relationships between Mathematics and Music up to the Renaissace and the Emergence of the Idea of Number as a Continuous Quantity
Oscar João Abdounur (University of São Paulo, Max Planck Institute for the History of Science, Brazil)

Index

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