Module bound above, possibly multiplied by a constant:
is defined as:
∃M>0∃x0∀x>x0:∣f(x)∣≤Mg(x)
E.g.:
- ∀c∈Rx+c=O(x). For c<0, M=1 is enough. Otherwise, any M>1 will do, the bottom line will always catch up to the top one eventually.
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Ciro Santilli