Description

Book Synopsis

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 to get the best of both worlds and benefit from the advantage of each approach.

The text examines algorithms that are designed to handle general datasort 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.

Many exercises are presented, which are essential since they convey additional

material complementing the content of the chapters. For this reason, the solutions are more than mere answers, but explain and expand

Table of Contents

1 Algorithmics 2 Counting: Tools and Strategies 3 Symbolic Calculus 4 Languages and Their Generating Functions 5 Probability in Algorithmics 6 Data Models 7 Sorting Nonuniform Data 8 Nonuniform Pólya Urn Schemes 9 Nonuniform trees

Algorithmics of Nonuniformity

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    A Hardback by Hosam Mahmoud, Hosam Mahmoud

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      Book details

      Publisher CRC Press Inc
      Published 1/17/2018 12:07:00 AM
      ISBN-13 9781498750714
      978-1498750714
      ISBN-10 1498750710
      Also in:
      Probability and statistics

      Description

      Book Synopsis

      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 to get the best of both worlds and benefit from the advantage of each approach.

      The text examines algorithms that are designed to handle general datasort 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.

      Many exercises are presented, which are essential since they convey additional

      material complementing the content of the chapters. For this reason, the solutions are more than mere answers, but explain and expand

      Table of Contents

      1 Algorithmics 2 Counting: Tools and Strategies 3 Symbolic Calculus 4 Languages and Their Generating Functions 5 Probability in Algorithmics 6 Data Models 7 Sorting Nonuniform Data 8 Nonuniform Pólya Urn Schemes 9 Nonuniform trees

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