Operations on Lists, and Linear Algebra

Michael Trott
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Michael Trott: Wolfram Research

Chapter Chapter 6 in The Mathematica GuideBook for Programming, 2004, pp 700-1001 from Springer

Abstract: Abstract This chapter on lists is the last chapter on the structure of Mathematica expressions and programming in Mathematica. We start presenting somewhat larger programs, especially in Sections 6.3.4, 6.4.4, 6.5.2, and 6.6. These programs deal mostly with mathematical, physical, and scientific/engineering applications of Mathematica, although some of them serve primarily to illustrate Mathematica as a programming language. At the outset, we do not place too much value on elegance, and we intentionally present classical procedural program segments. As we get deeper into the material, we will also make use of more elegant functional programming techniques. However, functional programming should not be overdone. From the standpoint of readability (for an example, see Subsection 2.3.10 of the Graphics volume [254] of the GuideBooks), it is sometimes better to introduce auxiliary variables, even when they make the program longer and are not needed. In addition, functional programs are often relatively complicated for the newcomer, although they can be much faster than a corresponding using procedural routine.

Keywords: Linear Algebra; Empty List; Crossword Puzzle; Pure Function; Quantum Cellular Automaton (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4419-8503-3_6

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