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  5. VOL 43, NO 6 (2021)
  6. pp. 03-18

Method for representing an exponent in a fifth-dimensional hypercomplex number systems using a hypercomplex computing software

Ya.А. Кalinovskiy 1, Yu.E. Boiarinova 1,2

1 Institute for Information Recording NAS of Ukraine
  Shpaka str, 2, 03113 Kyiv, Ukraine
  e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

2 National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
  Peremogy pr., 37, 03113 Kyiv, Ukraine

Èlektron. model. 2021, 43(6):03-18

https://doi.org/10.15407/emodel.43.06.003

ABSTRACT

The structure of method for constructing a representation of an exponential function in hypercomplex number systems (HNS) by the method of solving an associated system of linear differential equations is considered. Brief information about the hypercomplex computing software (HCS) is given. With the use of HCS, the necessary cumbersome operations on symbolic expressions were performed when constructing the representation of the exponent in the fifth-dimensional HNS. Fragments of programs in the environment of HCS and results of symbolic calculations are resulted.

KEYWORDS

hypercomplex number system, representation of functions, exponent, characteristic number, computer algebra systems, algebraic operation, Keli table.

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