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# Big O notation ()

nosplit "Big O notation family" words: 69
Module bound above, possibly multiplied by a constant: $$f(x)=O(g(x)) (1)$$ is defined as: $$∃M>0∃x0​∀x>x0​:∣f(x)∣≤Mg(x) (2)$$
E.g.:
• . For , is enough. Otherwise, any will do, the bottom line will always catch up to the top one eventually.