Manipulating Expressions

Christopher Creutzig and Walter Oevel
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Christopher Creutzig: Universität Paderborn, Fakultät EIM-M
Walter Oevel: SciFace Software GmbH & Co.KG

Chapter 9 in MuPAD Tutorial, 2004, pp 159-178 from Springer

Abstract: Abstract When evaluating objects, MuPAD automatically performs a variety of simplifications. For example, arithmetic operations between integers are executed or exp(ln(x)) is simplified to x. Other simplifications such as sin(x)2 + cos(x)2 = 1, ln(exp(x)) = x, (x2 - 1)/(x - 1) = x + 1, or $$\sqrt {{x^2}} = x$$ = x do not happen automatically. The reason is for one that many of these rules are not universally valid: for example, $$\sqrt {{x^2}} = x$$ = x is wrong for x = -2. Other simplifications such as sin(x)2+cos(x)2= 1 are valid universally, but there would be a significant loss of efficiency if MuPAD would always scan expressions for the occurrence of sin and cos terms.

Keywords: Global Property; Hyperbolic Function; Binomial Coefficient; Mathematical Meaning; Entire Complex Plane (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-642-59304-8_9

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