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Chapter 4: Asymptotic Notations

  • AN are mathematical functions that are used to calculate running time and rate of growth of an algorithm.
  • Order of growth of computing time: logN, N, NlogN, N^2, 2^n.
  • Factors affecting running time: Speed of computer, compiler used, programming language, algorithm of choice, types and size of input/output.
  • Constants are ignored to focus on algorithm performance for larger values of input.
  • Types of Asymptotic Notations: Big O (worst case), Big Omega (lower bound), Bit Theta (average case).

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