|
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
|
| EOI:
|
-
|
| DOI:
|
-
|
| Download:
|
Request For Article
|
|
|