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403: Algorithms and Data Structures Asymptotic Notation Fall 2016 UAlbany Computer Science Assumptions All functions take non-negative values All functions are defined on non-negative integers Only such functions will be of

  1. 403: Algorithms and Data Structures Asymptotic Notation Fall 2016 UAlbany Computer Science

  2. Assumptions • All functions take non-negative values • All functions are defined on non-negative integers • Only such functions will be of interest

  3. Overview of Asymptotic Notation

  4. Overview of Asymptotic Notation • o() is used to denote O() bound that is not asymptotically tight • E.g. we can verify that 2n = O(n 2 ), but it is not tight • We can denote this as 2n = o(n 2 ) • …however 2n 2 is not o(n 2 )

  5. Properties and Relations

  6. Read the rest of Chapter 3 • Comparing the growth of common functions

  7. Announcements • Read through Chapter 3 • HW1 solutions available on BB

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