# Difference between revisions of "Big O notation"

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More formally, if f and g are real valued functions of the real variable  then the notation  indicates that there exist a real number T and a constant C such that  for all 
Similarly, if  and  are two numerical sequences then  means that  for all n big enough.
The big O notation is also often used to indicate that the absolute value of a real valued function around some neighbourhood of a point is upper bounded by a constant multiple of the absolute value of another function, in that neigbourhood. For example, for a real number  the notation , where g(t) is a function which is continuous at t = 0 with g(0) = 0, denotes that there exists a real positive constant C such that  on some neighbourhood N of .