Sure it is, O notation denotes equivalence classes and being part of the same eq... | Hacker News

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		danharaj on April 13, 2018 \| parent \| context \| favorite \| on: For mathematicians, = does not mean equality Sure it is, O notation denotes equivalence classes and being part of the same equivalence class is a perfectly cromulent notion of equality.

gizmo686 on April 13, 2018 | [–]

Big-theta gives you equivalence classes. Big-O only gives you partial ordering.

For instance, we might say x = O(x^2) and x=O(x), but we would not say O(x^2)=O(x).

Interestingly, in my experience, some people will actually say O(x)=O(x^2), but that seems a bit too abusive for my liking.

danharaj on April 13, 2018 | | [–]

Yea, my mistake :)

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