Solving Polynomial Equations -- Resultants -- Computation in Local Rings -- Modules -- Free Resolutions -- Polytopes, Resultants, and Equations -- Polyhedral Regions and Polynomials -- Algebraic Coding Theory -- The Berlekamp-Massey-Sakata Decoding Algorithm.In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpens…
Heuristic Search for Network Design -- Polyhedral Combinatorics -- Constraint Languages for Combinatorial Optimization -- A Tutorial on Radiation Oncology and Optimization -- Parallel Algorithm Design for Branch and Bound -- Computer-Aided Design for Electrical and Computer engineering -- Nonlinear Programming and Engineering Applications -- Connecting MRP, MRP II and ERP — Supply Chain Produ…
Preface -- Introduction -- Basic Concept of Ca2+ Signaling in Cells and Tissues (M. J. Sanderson) -- Modeling IP-3-Dependent Calcium Dynamics in Non-Excitable Cells (J. Sneyd) -- Integrated Calcium Management in Cardiac Myocytes (T. R. Shannon) -- Mechanisms and Models of Cardiac Excitation-Contraction Coupling (R. L. Winslow, R. Hinch, J. L. Greenstein) -- Mathematical Analysis of the Generati…
Preface -- A. Friedman: Introduction to Neurons -- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics -- B. Ermentrout: Neural Oscillators -- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapte…
Trigonometric Fundamentals -- Introductory Problems -- Advanced Problems -- Solutions to Introductory Problems -- Solutions to Advanced Problems.103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solv…
Best Poisson Approximation of Poisson Mixtures. A Linear Operator Approach -- On Some Classes of Diffusion Equations and Related Approximation Problems -- Recent Developments in Barycentric Rational Interpolation -- Approximation on Simplices and Orthogonal Polynomials -- (0, 2) Pál-type Interpolation: A General Method for Regularity -- Sufficient Convergence Conditions for Certain Accelerated…
Empirical Traffic Data -- Lane-Change Maneuvers Consuming Freeway Capacity -- Empirical Description of Car-Following -- Optimization Potential of a Highway Network: An Empirical Study -- Observation, Theory and Experiment for Freeway Traffic as Physics of Many-Body System -- Fluctuation in Expressway Traffic Flow -- Calibration and Validation of Microscopic Traffic Flow Models -- Real Highway T…
Wavelets: Basic properties, parameterizations and sampling -- Derivatives and multiwavelets -- Sampling in Fourier and wavelet analysis -- Bases for time-frequency analysis -- Fourier uncertainty principles -- Function spaces and operator theory -- Uncertainty principles in mathematical physics.Developed in this book are several deep connections between time--frequency (Fourier/Gabor) analysis …
Quantification and Calculation in Nature -- The Cells of the Brain -- Brain: A Distributed Intelligent Processing System -- Neural Computational Mechanisms Supporting Cognitive Processes -- The Brain and Quantum Computation -- Memetics and Cognitive Mathematics -- Modeling of Arithmetic Reasoning -- Brain Maps of Arithmetic Processes in Children and Adults -- Arithmetic Learning Capability in C…
Medical Bioinformatics: Detecting Molecular Diseases with Case-Based Reasoning -- Prototype Based Recognition of Splice Sites -- Contact Based Image Compression in Biomedical High-Throughput Screening Using Artificial Neural Networks -- Discriminative Clustering of Yeast Stress Response -- A Dynamic Model of Gene Regulatory Networks Based on Inertia Principle -- Class Prediction with Microarray…