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A preview of the next IBM-PC version of muMATH

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EUROCAL '85 (EUROCAL 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 203))

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Abstract

A complete redesign of muMATH is nearing completion, and this paper previews some of the new capabilities, which include the following:

  1. 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.

  2. 2.

    There is function plot graphics.

  3. 3.

    Two-dimensional output of expressions is provided, including raised exponents and built-up fractions.

  4. 4.

    The algebraic capabilities are substantially improved:

  1. a)

    Simplification is more automatic and thorough, with options that are easier to use.

  2. 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.

  3. 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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Bruno Buchberger

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© 1985 Springer-Verlag Berlin Heidelberg

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15983-4

  • Online ISBN: 978-3-540-39684-0

  • eBook Packages: Springer Book Archive

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