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

TL;DR

This paper presents a method for representing exponentials in fifth-dimensional hypercomplex number systems using specialized hypercomplex computing software to handle complex symbolic operations.

Contribution

It introduces a new approach for exponential representation in hypercomplex systems utilizing software to perform symbolic calculations efficiently.

Findings

Successful construction of exponential representation in 5D hypercomplex systems

Implementation of the method using hypercomplex computing software

Demonstration of symbolic calculation results and program fragments

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