Abstract
A complete redesign of muMATH is nearing completion, and this paper previews some of the new capabilities, which include the following:
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1.
Rational arithmetic can be either exact or automatically rounded to any precision, thus providing a unified alternative to the usual combination of exact rational plus arbitrary-precision floating-point arithmetic.
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2.
There is function plot graphics.
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3.
Two-dimensional output of expressions is provided, including raised exponents and built-up fractions.
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4.
The algebraic capabilities are substantially improved:
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a)
Simplification is more automatic and thorough, with options that are easier to use.
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b)
The default normal form tends to preserve factors at all levels while automatically achieving significant simplification of rational expressions, radicals and elementary transcendental expressions.
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c)
There are polynomial expansion, gcd and factoring algorithms with speeds that compare favorably with those of systems running on mainframes or Lisp machines.
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9. References
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Stoutemyer, D.R. (1985). A preview of the next IBM-PC version of muMATH. In: Buchberger, B. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15983-5_3
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DOI: https://doi.org/10.1007/3-540-15983-5_3
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