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Structure of Mathematica Expressions

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Abstract

This chapter starts the systematic discussion of the use of the Mathematica programming system and the Mathematica language. All Mathematica expressions resemble each other because they are symbolic expressions. The whole power, universality, flexibility, and extensibility is based on the unifying fact that everything in Mathematica is a symbolic expression. Depending on the size of these symbolic expressions, we can classify them as elementary objects, called atoms, or as objects built recursively from smaller pieces. Elementary objects include strings, symbols, and various types of numbers. More complicated expressions can be decomposed and analyzed using a few basic commands, such as Level, Depth, Part, and Position.

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Trott, M. (2004). Structure of Mathematica Expressions. In: The Mathematica GuideBook for Programming . Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8503-3_2

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  • DOI: https://doi.org/10.1007/978-1-4419-8503-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6421-7

  • Online ISBN: 978-1-4419-8503-3

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