1st Edition

Polytope Projects

By Octavian Iordache Copyright 2014
    236 Pages 180 B/W Illustrations
    by CRC Press

    How do you know what works and what doesn't? This book contains case studies highlighting the power of polytope projects for complex problem solving. Any sort of combinational problem characterized by a large variety of possibly complex constructions and deconstructions based on simple building blocks can be studied in a similar way. Although the majority of case studies are related to chemistry, the method is general and equally applicable to other fields for engineering or science.

    Preface
    Abbreviations

    Introduction
    Diversifying and Unifying Ways
    Categorification and Decategorification
    Polytope Projects
    References
    Methods and Models
    Differential Posets
    Dual Graded Graphs
    Updown Categories
    Combinatorial Species
    Polytopes and n-Levels Systems
    Differential Models
    References
    Separation and Integration
    Binary Rooted Trees for Separation
    Lifted Binary Trees
    Rooted Trees
    References
    Cyclic and Linear
    Cyclic Separations
    Evolvability for Linear vs. Cyclical Schemas
    References
    Compositions and Decompositions
    Compositions
    Partitions
    References
    Construction and Deconstruction
    Crystal Growth
    Self-Confi gurable Modular Automata
    Packing and Unpacking
    References
    Strong and Weak Molecular Interactions
    Molecular and Supramolecular
    Dynamic Combinatorial Libraries and Templating
    Polytopes for Supramolecular Chemistry
    G-quadruplexes
    Supramolecular Tiling
    Stereochemistry for Cyclic Compounds
    References
    Synthesis and Decomposition Reactions
    Evolutionary Biotechnology
    Chemical Reaction Networks
    Chemical Organization
    References
    Data and Concepts Analysis
    Formal Concept Analysis
    Nesting Line Diagrams
    References
    Design of Experiments and Analysis
    Design of Experiments and Hasse Diagrams
    Permutation Trees for Designs of Experiments
    Self-Evolvability and Polytopes
    References
    Premises and Perspectives
    Premises
    Perspectives
    References
    Appendix Informational Entropy
    References
    Index

    Biography

    Octavian Iordache