Appendix: Mathematical and Computational Tools

  • Vladimir G. IvancevicEmail author
  • Tijana T. Ivancevic
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 40)


Appendix provides all necessary material for comprehensive reading of the book. It includes the following three sections:

  1. 7.1

    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.

  2. 7.2

    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.

  3. 7.3

    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.



Nash Equilibrium Periodic Orbit Lyapunov Exponent Discrete Wavelet Transform Computational Tool 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of DefenceDefence Science & Technology Organisation (DSTO)EdinburghAustralia
  2. 2.School of Electrical & Information EngineeringUniversity of South AustraliaAdelaideAustralia

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