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Transcomplex topology and elementary functions

dos Reis, T. S. and Anderson, J. A. D. W. (2016) Transcomplex topology and elementary functions. In: Proceedings of the World Congress on Engineering 2016, June 29 - July 1, London, pp. 164-169. (Vol 1)

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Official URL: http://www.iaeng.org/publication/WCE2016/

Abstract/Summary

The set of transcomplex numbers, introduced elsewhere, is a superset of the complex numbers that allows division by zero. Here we introduce a topology for the transcomplex numbers and extended the elementary functions from the complex domain to the transcomplex domain. We give a geometrical construction of non-finite angles and discuss the totalisation of computer subroutines to provide transcomplex functions.

Item Type:Conference or Workshop Item (Paper)
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
ID Code:66304
Uncontrolled Keywords:transcomplex topology, transcomplex exponential, transcomplex logarithm, transcomplex elementary functions, non-finite angles
Additional Information:ISBN: 9789881925305

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