Simplification of real elementary functions

Authors:
M. Bronstein
Affiliations:
IBM Thomas J. Watson Research Center, Yorktown Heights, NY
Venue:
ISSAC '89 Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation
Year:
1989

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Abstract

We describe an algorithm, based on Risch's real structure theorem, that determines explicitly all the algebraic relations among a given set of real elementary functions. We also provide examples from its implementation that illustrate the advantages over the use of complex logarithms and exponentials.