Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 28 Jul 2017 My Price 4.00

Asymptotic notation properties

Asymptotic notation properties

conjectures.

a. f(n) = O(g(n)) implies g(n) = O(f(n)).

b. f(n) + g(n) = Θ(min(f(n), g(n))).

c. f(n) = O(g(n)) implies lg(f(n)) = O(lg(g(n))), where lg(g(n)) ≥ 1 and f(n) ≥ 1 for all sufficiently large n.

d. f(n) = O(g(n)) implies 2f(n) = O (2g(n)).

e. f(n) = O((f(n))2).

f. f(n) = O(g(n)) implies g(n) = Ω(f(n)).

g. f(n) = Θ(f(n/2)).

h. f(n) + o( f(n)) = Θ(f(n)).

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Maurice Tutor
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Status NEW Posted 28 Jul 2017 02:07 AM My Price 4.00

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