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Relatives of Big-Oh

big-Omega
  • f(n) is Ω(g(n)) if there is a constant c > 0 and an integer constant n0 ≥ 1 such that

    f(n) ≥ c·g(n)    ∀ n ≥ n0

big-Theta

  • f(n) is Θ(g(n)) if there are constants c',c'' > 0 and an integer constant n0 ≥ 1 such that

    c'·g(n) ≤ f(n) ≤ c''·g(n)    ∀ n ≥ n0