Appendix: Mathematical and Computational Tools
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Appendix provides all necessary material for comprehensive reading of the book. It includes the following three sections:
Meta-Language of Categories and Functors
In modern mathematical sciences whenever one defines a new class of mathematical objects, one proceeds almost in the next breath to say what kinds of maps between objects will be considered. A general framework for dealing with situations where we have some objects and maps between objects, like sets and functions, vector spaces and linear operators, points in a space and paths between points, etc.—gives the modern metalanguage of categories and functors. Categories are mathematical universes and functors are ‘projectors’ from one universe onto another.
Frequently Used Mathematical Concepts
This section reviews modern mathematical and engineering tools necessary for comprehensive reading of the book. It includes modern algebraic and geometrical structures, partition functions, modern Kalman- and wavelet-based signal processing, chaos theory and Nash game theory.
Frequently Used Computational Tools
This section is a resource of computational tools useful for quantum neural computation. It provides simulation code written in Fortran 95, C/C++, Delphi and Mathematica.
KeywordsNash Equilibrium Periodic Orbit Lyapunov Exponent Discrete Wavelet Transform Computational Tool
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