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1) Arithmetic operations:
, =,+,
, log, exp, sin.
O(f(n)) : the class C
of functions such that for any g
2
C
such that f(n)
c
as large as
f
(
n
).
o(f(n)) : the class C
2
of functions such that for any g
2
C
2
g
(
n
)
=f
(
n
) = 0. Roughly speaking,
o
(
f
(
n
)) is the class of func-
(
f
(
n
)) : the class
C
of functions such that for any
g
2
C
such that f(n)
c
Roughly speaking, (
f
(
n
)) is the class of functions which are at least
!
(
f
(
n
)) : the class
C
of functions such that for any
g
2
C
4
functions that are larger than
f
(
n
).
(
f
(
n
)) : the class
C
of functions such that for any
g
2
C
,
g
(
n
)=
O
(
f
(
n
)and
g
(
n
)=(
f
(
n
)). Roughly speaking, (
f
(
n
)) is the class
of functions which are of the same order as
f
(
n
).
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