AI engineering glossary · Data structures algorithms

What is Big-Omega notation?

Big-Omega notation: A notation giving an asymptotic lower bound on growth: f(n) is Omega(g(n)) if f eventually stays above a constant multiple of g(n). It states how much work an algorithm must do at least, or how much any algorithm for a problem must do.

Level: advancedTopic: Data structures algorithms

Big-Omega notation: an example

Any comparison-based sorting method needs Omega(n log n) comparisons in the worst case, so no such method can beat that bound.

Related terms

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Where you learn it

Big-Omega notation is part of the AI Engineering Program, which teaches it with notes, a hands-on lab and an exam. The first lesson is free.

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