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Restricted Patterns and Replacement Rules

In: The Mathematica GuideBook for Programming

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  • Michael Trott

    (Wolfram Research)

Abstract

The main topics of this chapter are replacement rules and patterns. No other available programming systemcomes close to Mathematical ability to match patterns in arbitrary structures (expressions). The ability to selectsubexpressions on the basis of their form and/or contents and to manipulate them permits the construction ofvery elegant, short, and direct programs. However, the use of pattern matching in very large expressions mayrequire a lot of time because of the potential combinatorial explosion of all possible pattern realizations. But athoughtful, appropriate use of patterns allows us to write programs that are quite elegant, fast, natural, and easyto read and to maintain. We begin this chapter with a discussion of Boolean variables and functions because thedetermination of truth values is an important part of constructing special patterns.

Suggested Citation

  • Michael Trott, 2004. "Restricted Patterns and Replacement Rules," Springer Books, in: The Mathematica GuideBook for Programming, chapter 0, pages 538-698, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-8503-3_5
    DOI: 10.1007/978-1-4419-8503-3_5
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