What can you say about a function f with the property that is ?
The characteristics of a function of if .
Let and be real valued functions defined on the same nonnegative integers, with for every integer , where is positive real number.
is of order , written , if and only if, there exist positive real numbers and such that
for every integer .
When , using the definition of notation, we can consider and be any positive real numbersfor such that
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