Automated and readable simplification of trigonometric expressions
نویسندگان
چکیده
منابع مشابه
Automated and readable simplification of trigonometric expressions
Automated simplification of trigonometric expressions is an important problem that hasn’t been completely solved by current computer algebra systems. This paper presents a number of unique prescriptions for the ordering of some trigonometric transformation rules, which have been derived by observing how human experts follow their intuitive rules. We have implemented the procedure in Lisp becaus...
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We present a set of algorithms for automated simplification of constants of the form ∑ i αixi with αi rational and xi complex. The included algorithms, called SimplifySums and implemented in Mathematica, remove redundant terms, attempt to make terms and the full expression real, and remove terms using repeated application of the integer relation detection algorithm PSLQ. Also included are facil...
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A trigonometric curve is a real plane curve where each coordinate is given parametri-cally by a truncated Fourier series. The trigonometric curves frequently arise in various areas of mathematics, physics, and engineering. Some trigonometric curves can be also represented implicitly by bivariate polynomial equations. In this paper, we give algorithms for (a) simplifying a given parametric repre...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2006
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2006.04.002