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• pdf  293.555kb doc 293.555kb Views: 3797 Date: 29.02.2008
  Lutsenko Y. V.

  PROGRAMMING IDEA OF SYSTEMIC GENERALIZATION OF MATHEMATICS AND ITS APPLICATION FOR CREATION OF SYSTEMIC INFORMATION THEORY

  05.00.00 Technical science

  Tags: emergentness coefficients. mathematics set generalization system information theory level of systemic character
  Description

  Programming idea of systemic generalization of mathematics, essence of which consists of total change of meaning “set” on more common meaning “system” and tracing of all consequences of it is formulated and generalized in the article. Observance of adequacy principle, which is mandatory for more common theory is provided under it, because a system with zero level of systemic character is set. Expanded example of realization of this programming idea as a systemic information theory, which is systemic generalization of information theory of Nikewest-Boltzman-Hartley-Shannon and semantic information theory of Kharkevich , which was offered by the author, is brought.

• pdf  352.465kb doc 352.465kb Views: 4175 Date: 30.01.2009
  Vyatkin V. B.

  SYNERGETIC INFORMATION THEORY Part 2. Reflection of discrete systems in planes of signs of their description

  01.00.00 Physical-mathematical sciences

  Tags: additive negentropy closed system information law. quantity of information open system reflection order structure information theory chaos entropy
  Description

  Analysis of reflection of discrete system with final set of elements in planes of set of values of any sign is leaded. It is demonstrated that information reflected with system is divided on reflected and not reflected part and relevant information functions are got. Structured law of saving of sum of chaos and order is established and classification of discrete systems on their structural organization is given. Interrelation of synergetic and probabilistic information theories is shown. Law of information saving is established.