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Would Ω(n log n) be the same as saying n^2?

Extra: Can someone please explain to me clearly what big O, Θ and Ω means illustratively?

CarolineRudolph
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2 Answers2

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It is not, it is Omega, which says "It is asymptotically same or lower".

In "asymptoticall" equations, it is same as n^2 >= n log n


Extra :

Standard equations || Text representation || Asymptotically equations

f(x) = O(g(x)) || g(x) is asymptotically same or higher as f(x) || f(x) <= g(x)
f(x) = Θ(g(x)) || g(x) is asymptotically same as f(x) || f(x) = g(x)
f(x) = Ω(g(x)) || g(x) is asymptotically same or lower as (fx) || f(x) >= O(g(x))

PS: Note also that if f(x) = O(g(x)) it also means that g(x) = Ω(f(x)), which is similar to if f(x) <= g(x) then g(x) >= f(x)

libik
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n^2 = Ω(n log n) is not equality, but relation between these functions.
You can read about it and see examples here.

zardav
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