TY - BOOK AU - Hofri,Micha AU - Mahmoud,Hosam M. ED - Taylor and Francis. TI - Algorithmics of nonuniformity: tools and paradigms T2 - Routledge library editions. welfare and the state SN - 9781315332307 (e-book: Mobi) AV - QA164 .H6427 2018 U1 - 511/.6 23 PY - 2018/// CY - Boca Raton, FL PB - CRC Press, an imprint of Taylor and Francis KW - Probabilities KW - MATHEMATICS / Probability & Statistics / Bayesian Analysis KW - bisacsh KW - MATHEMATICS / Combinatorics KW - Combinatorial analysis KW - Computer algorithms KW - Data structures (Computer science) N1 - chapter 1 Introduction -- chapter 2 Counting -- chapter 3 Symbolic Calculus -- chapter 4 Languages and Their Generating Functions -- chapter 5 Probability in Algorithmics -- chapter 6 Functional Transforms -- chapter 7 Nonuniform Pólya Urn Schemes -- chapter 8 Nonuniform Data Models -- chapter 9 Sorting Nonuniform Data -- chapter 10 Recursive Trees -- chapter 11 Series-Parallel Graphs N2 - Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together and benefit from the advantage of each approach. The text examines algorithms that are designed to handle general data—sort any array, find the median of any numerical set, and identify patterns in any setting. At the same time, it evaluates "average" performance, "typical" behavior, or in mathematical terms, the expectations of the random variables that describe their operations UR - https://www.taylorfrancis.com/books/9781498750721 ER -