Kalinovsky J. Development of methods of theory of HNS for a mathematical modeling and computer calculations

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000484

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

17-09-2007

Specialized Academic Board

Д 26.002.02

Publishing and Printing Institute of Igor Sikorsky Kyiv Polytechnic Institute

Essay

Dissertation is devoted development of methods of theory of HNS for a mathematical modeling and computer calculations. The different forms of presentation of information are in-process analyzed and foremost by HNS. The base concepts of HNS, methods of implementation of algebraic operations, are investigational in them; the most essential classes of isomorphisms are studied. Pluralism of HNS is investigational. The methods of construction of such non-linearity are developed in HNS, as exponential function, trigonometric and hyperbolical functions, the methods of decision of hypercomplex linear differential equations are built. Efficiency of application of the developed methods is rotined on the example of modeling of such tasks, as a synthesis of structures of digital recursive filters

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