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INTERNATIONAL JOURNAL OF PHARMACEUTICAL RESEARCH

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Published by : Advanced Scientific Research
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0975-2366
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IJPR 9[3] July - September 2017 Special Issue

July - September 9[3] 2017

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On Application of Homomorphism in Engineering Practice and Scientific Research

Author: KONSTANTIN RUBTSOV*, IGOR S. KONSTANTINOV, SERGEY A. LAZAREV, GIOVANNI F. ROMERIO
Abstract: This paper presents some of the main points of the study concerning the practical application of the homomorphism to solve problems in engineering practice and research. The authors considered the use of a homomorphism in problems of analytic solutions for finding extremums of a given class of functions, extension of classes of solved differential equations, numerical solving of differential equations, solving of a functional equation, and generating new data packaging algorithms for large numbers. The methods of application of homomorphism developed by the authors take into account the development trends of microprocessor computing, when the mathematical coprocessor unit is an integral part of the processor core and makes it possible to effectively implement algorithms based on operations of a higher order than “addition” and “subtraction”
Keyword: Homomorphism, extremum of function, differential equations, numerical solutions of differential equations, functional equations, number formats, hyperoperations, superlog, tetration
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