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Date: 13-3-2019
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Date: 13-3-2019
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Date: 13-3-2019
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The symbol , pronounced "Little-O of
," is one of the Landau symbols and is used to symbolically express the asymptotic behavior of a given function.
In particular, if is an integer variable which tends to infinity and
is a continuous variable tending to some limit, if
and
are positive functions, and if
and
are arbitrary functions, then it is said that
provided that
. Thus,
or
grows much faster than
or
.
Note that Little-O notation is the inverse of Little-Omega notation, i.e., that
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Additionally, Little-O notation is related to Big-O notation in that is stronger than and implies
.
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