1st Edition

Polytope Projects




ISBN 9781482204643
Published October 15, 2013 by CRC Press
236 Pages 180 B/W Illustrations

USD $180.00

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Book Description

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.

Table of Contents

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

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Author(s)

Biography

Iordache\, Octavian