Fibonacci Numbers -- Homogeneous Linear Recurrence Relations -- Finite Difference Equations -- Generating Functions -- Nonnegative Difference Equations -- Leslie’s Population Matrix Model -- Matrix Difference Equations -- Modular Recurrences -- Computational Complexity -- Some Nonlinear Recurrences.Difference equations are models of the world around us. From clocks to computers to chromosomes…
Elements of Convex Analysis and Separation -- to Image Space Analysis -- Alternative and Separation -- Optimality Conditions. Preliminary Results.Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchers in a wealth of papers…
I -- The basics -- Bruhat order -- Weak order and reduced words -- Roots, games, and automata -- II -- Kazhdan-Lusztig and R-polynomials -- Kazhdan-Lusztig representations -- Enumeration -- Combinatorial Descriptions.Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxete…
Monomial Ideals -- Squarefree monomial ideals -- Borel-fixed monomial ideals -- Three-dimensional staircases -- Cellular resolutions -- Alexander duality -- Generic monomial ideals -- Toric Algebra -- Semigroup rings -- Multigraded polynomial rings -- Syzygies of lattice ideals -- Toric varieties -- Irreducible and injective resolutions -- Ehrhart polynomials -- Local cohomology -- Determinants…
Genesis and Theory of Computer Viruses -- The Formalization Foundations: from Turing to von Neumann (1936 – 1967) -- F. Cohen and L. Adleman’s Formalization (1984 – 1989) -- Taxonomy, Techniques and Tools -- Fighting Against Viruses -- Learning Computer Viruses by Programming -- Computer Viruses in Interpreted Programming Language -- Companion Viruses -- Worms -- Computer Viruses and Appl…
Variable Neighborhood Search for Extremal Graphs. XI. Bounds on Algebraic Connectivity -- Problems and Results on Geometric Patterns -- Data Depth and Maximum Feasible Subsystems -- The Maximum Independent Set Problem and Augmenting Graphs -- Interior Point and Semidefinite Approaches in Combinatorial Optimization -- Balancing Mixed-Model Supply Chains -- Bilevel Programming: A Combinatorial Pe…
Genetic algorithms: a guide for absolute beginners -- Evolutionary algorithms and their theory -- Epistasis -- Examples -- Walsh transforms -- Multary epistasis -- Generalized Walsh transforms.
DNA: The Molecule of Life -- Theoretical Computer Science: A Primer -- Models of Molecular Computation -- Complexity Issues -- Physical Implementations -- Cellular Computing.This book provides a broad overview of the entire field of DNA computation, tracing its history and development. It contains detailed descriptions of all major theoretical models and experimental results to date, which are …
Acronyms and general notations -- Management and Risk -- The Human Being and Risks -- Principles of Risk Management in Design -- Risk Management at Debugging Tests -- Risk Management in Operation on Basis of Monitoring -- Risk Management on Dangerous Plant -- Bases of Logic and Probabilistic Calculus -- Logic and Probabilistic Method and Risk -- Automated Structural and Logical Modelling -- Fou…