# 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} }

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…

## 618 Citations

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