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The Genetic Coding, United-Hypercomplex Numbers and Artificial Intelligence

  • Sergey Petoukhov
  • Elena Petukhova
  • Ludmila Hazina
  • Ivan Stepanyan
  • Vitaliy Svirin
  • Tamara Silova
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 658)

Abstract

Scientists try to reproduce in devices of artificial intelligence intellectual properties of living organisms, which are connected with the genetic code system. This article is devoted to the study and modeling of the genetic system on the basis of mathematical formalisms, which are used in digital devices of artificial intelligence and technology of noise-immunity coding of information. The genetic code of amino acid sequences in proteins does not allow understanding and modeling of inherited processes such as inborn coordinated motions of living bodies, innate principles of sensory information processing, quasi-holographic properties, etc. To be able to model these phenomena, the concept of geno-logical coding, which is connected with logical functions and Boolean algebra, is put forward. Structured alphabets of DNA in their matrix form of representations are connected with dyadic groups of binary numbers and a new type of systems of multidimensional numbers. This type generalizes systems of complex numbers and hypercomplex numbers, which serve as the basis of mathematical natural sciences and many technologies. The new systems are called in a general case as “systems of united-hypercomplex numbers”. They can be widely used in models of multi-parametrical systems in the field of algebraic biology, artificial life, devices of biological inspired artificial intelligence, etc.

Keywords

Genetic Code Boolean Algebra Hypercomplex Numbers 

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Sergey Petoukhov
    • 1
  • Elena Petukhova
    • 1
  • Ludmila Hazina
    • 1
  • Ivan Stepanyan
    • 1
  • Vitaliy Svirin
    • 1
  • Tamara Silova
    • 1
  1. 1.Mechanical Engineering Research InstituteRussian Academy of SciencesMoscowRussia

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