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A Knowledge Repository for Indefinite Integration Based on Transformation Rules

  • A. D. Rich
  • D. J. Jeffrey
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5625)

Abstract

Taking the specific problem domain of indefinite integration, we describe the on-going development of a repository of mathematical knowledge based on transformation rules. It is important that the repository be not confused with a look-up table. The database of transformation rules is at present encoded in Mathematica, but this is only one convenient form of the repository, and it could be readily translated into other formats. The principles upon which the set of rules is compiled is described. One important principle is minimality. The benefits of the approach are illustrated with examples, and with the results of comparisons with other approaches.

Keywords

Mathematical Knowledge Transformation Rule Computer Algebra System Mathematical Identity Knowledge Repository 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. US Government Printing Office (1964) (10th Printing December 1972)Google Scholar
  2. 2.
    Einwohner, T.H., Fateman, R.J.: Searching techniques for integral tables. In: Proceedings ISSAC 1995, pp. 133–139. ACM Press, New York (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • A. D. Rich
    • 1
  • D. J. Jeffrey
    • 2
  1. 1.62-3614 Loli’i Way, Kamuela, HawaiiUSA
  2. 2.Department of Applied MathematicsThe University of Western OntarioLondon, Ontario

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