Big Omicron and big Omega and big Theta

@article{Knuth1976BigOA,
  title={Big Omicron and big Omega and big Theta},
  author={Donald Ervin Knuth},
  journal={SIGACT News},
  year={1976},
  volume={8},
  pages={18-24}
}
  • D. Knuth
  • Published 1 April 1976
  • Education
  • SIGACT News
Most of us have gotten accustomed to the idea of using the notation O(f(n)) to stand for any function whose magnitude is upper-bounded by a constant times f(n) , for all large n. Sometimes we also need a corresponding notation for lower-bounded functions, i.e., those functions which are at least as large as a constant times f(n) for all large n. Unfortunately~ people have occasionally been using the O-notation for lower bounds, for example when they reject a particular sorting method "because… 

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