Polytope Projects: 1st Edition (Hardback) book cover

Polytope Projects

1st Edition

By Octavian Iordache

CRC Press

236 pages | 180 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9781482204643
pub: 2013-10-15
SAVE ~$34.00
$170.00
$136.00
x
eBook (VitalSource) : 9780429169472
pub: 2013-10-15
from $28.98


FREE Standard Shipping!

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

About the Author

Iordache\, Octavian

Subject Categories

BISAC Subject Codes/Headings:
SCI010000
SCIENCE / Biotechnology
SCI013050
SCIENCE / Chemistry / Physical & Theoretical
SCI013060
SCIENCE / Chemistry / Industrial & Technical
SCI086000
SCIENCE / Life Sciences / General