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…
Algebraic Preliminaries -- Integration of Rational Functions -- Differential Fields -- The Order Function -- Integration of Transcendental Functions -- The Risch Differential Equation -- Parametric Problems -- The Coupled Differential System -- Structure Theorems -- Parallel Integration.This first volume in the series "Algorithms and Computation in Mathematics" is destined to become the standar…
Information Centric Optimization of Inventories in Capacitated Supply Chains: Three Illustrative Examples -- An Analysis of Advance Booking Discount Programs Between Competing Retailers -- Third Party Logistics Planning with Routing and Inventory Costs -- Optimal Investment Strategies for Flexible Resources, Considering Pricing -- Multi-Channel Supply Chain Design in B2C Electronic Commerce -- …
Sturm’s 1836 Oscillation Results Evolution of the Theory -- Sturm Oscillation and Comparison Theorems -- Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950 -- Spectral Theory of Sturm-Liouville Operators Approximation by Regular Problems -- Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments -- Asymptotic Metho…
Basics -- Introduction -- Linear Programming Prerequisites -- Nonlinear Programming Prerequisites -- Single-stage SLP Models -- Introduction -- Models involving Probability Functions -- Quantile Functions, Value at Risk -- Models Based on Expectation -- Models Built with Deviation Measures -- Modeling Risk and Opportunity -- Risk Measures -- Multi-stage SLP Models -- The General SLP with Recour…
Markov Models in Molecular Evolution -- to Applications of the Likelihood Function in Molecular Evolution -- to Markov Chain Monte Carlo Methods in Molecular Evolution -- Population Genetics of Molecular Evolution -- Practical Approaches for Data Analysis -- Maximum Likelihood Methods for Detecting Adaptive Protein Evolution -- HyPhy: Hypothesis Testing Using Phylogenies -- Bayesian Analysis of…
Probability Theory (i): One Random Variable -- Probability Theory (ii): Many Random Variables -- Statistics (i): An Introduction to Statistical Inference -- Stochastic Processes (i): Poisson Processes and Markov Chains -- The Analysis of One DNA Sequence -- The Analysis of Multiple DNA or Protein Sequences -- Stochastic Processes (ii): Random Walks -- Statistics (ii): Classical Estimation Theor…
Inverse Problems and Interpretation of Measurements -- Classical Regularization Methods -- Statistical Inversion Theory -- Nonstationary Inverse Problems -- Classical Methods Revisited -- Model Problems -- Case Studies.The book develops the statistical approach to inverse problems with an emphasis on modeling and computations. The framework is the Bayesian paradigm, where all variables are mode…
Preliminaries -- Bergman Spaces -- The Bloch Space -- Hardy Spaces -- Functions of Bounded Mean Oscillation -- Besov Spaces -- Lipschitz Spaces.There has been a flurry of activity in recent years in the loosely defined area of holomorphic spaces. This book discusses the most well-known and widely used spaces of holomorphic functions in the unit ball of C^n. Spaces discussed include the Bergman …
to residues and resultants -- Solving equations via algebras -- Symbolic-numeric methods for solving polynomial equations and applications -- An algebraist’s view on border bases -- Tools for computing primary decompositions and applications to ideals associated to Bayesian networks -- Algorithms and their complexities -- Toric resultants and applications to geometric modelling -- to numerica…