We also write fnogn when fn is a member of ogn

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Unformatted text preview: )) when f(n) is a member of O(g(n)). Ω (g(n)) = { f(n): ∃ constants c and N s.t. f(n) ≥ c• g(n) for n ≥ N }. We also write f(n)= Ω (g(n)) when f(n) is a member of Ω (g(n)). O-notation is used to determine an upper bound on the order of growth of a function. Ω -notation is used to determine a lower bound on the order of growth of a function. 5 Guoliang.Xue@asu.edu Examples If f(n) = 2n + 3, then f(n) = O(n). If f(n) = n4 + 100n, then f(n) = O(n4). If f(n) = 1 + 2 + ... + n, then f(n) = O(n 2). If f(n) =...
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