Generating All Tuples and Permutations - Knuth, Donald E.

Donald E. Knuth 

Generating All Tuples and Permutations

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Generating All Tuples and Permutations

"Volume 4, Fascicle 2" - this fascicle inaugurates the eagerly awaited publication of Knuth's "The Art of Computer Programming, Volume 4: Combinatorial Algorithms". Part of what will be a long chapter on combinatorial searching, the fascicle begins his treatment of how to generate all possibilities. Specifically, it discusses the generation of all n-tuples, then extends those ideas to all permutations. Such algorithms provide a natural motivation by means of which many of the key ideas of combinatorial mathematics can be introduced and explored. In this and other fascicles of Volume 4, Knuth illuminates important theories by discussing related games and puzzles. Even serious programming can be fun.


Produktinformation

  • Abmessung: 247mm x 163mm x 9mm
  • Gewicht: 270g
  • ISBN-13: 9780201853933
  • ISBN-10: 0201853930
  • Best.Nr.: 13701590
Donald E. Knuth is known throughout the world for his pioneering work on algorithms and programming techniques, for his invention of the Tex and Metafont systems for computer typesetting, and for his prolific and influential writing. Professor Emeritus of The Art of Computer Programming at Stanford University, he currently devotes full time to the completion of these fascicles and the seven volumes to which they belong.

Inhaltsangabe

Chapter 7: Combinatorial Searching 7.2. Generating All Possibilities 1
7.2.1. Generating Basic Combinatorial Patterns 1
7.2.1.1. Generating alln-tuples 1
7.2.1.2. Generating all permutations 39 Answers to Exercises 76Index and Glossary 122
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