The mathematical preliminaries redux; introduction to backtracking; dancing links volume 4, fascicle 5 Knuth, Donald E. creator text mau Boston Addison-Wesley c2020 2020 2019 monographic eng

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viii, 382 pages : illustrations ; 22 cm. "This fascicle covers three separate topics: 1. Mathematical Preliminaries. Knuth writes that this portion of fascicle 5 "extends the 'Mathematical Preliminaries' of Section 1.2 in Volume 1 to things that I didn't know about in the 1960s. Most of this new material deals with probabilities and expectations of random events; there's also an introduction to the theory of martingales." 2. Backtracking: this section is the counterpart to section 7.2.1 which covered the generation of basic combinatorial patterns. This section covers non-basic patterns, ones where the developer needs to make tentative choices and then may need to backtrack when those choices need revision. 3. Dancing Links: this section is related to 2 above. It develops an important data structure technique that is suitable for backtrack programming described above"-- Donald E. Knuth. Includes index. CSE Computer programming Computer algorithms Computer science 005.1 9780134671796 9780134671791 2019946479 Ayesha Abed Library DLC 212701 20211111150827.0 37347 eng