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THETA NOTATION (Q) in data structure

Posted on December 11, 2021December 11, 2021 By christo No Comments on THETA NOTATION (Q) in data structure

Theta notation provides an asymptotically tight bound for f(n). Θ notation is simply written as, f(n) ∈ Θ(g(n)), where n is the problem size and

Θ(g(n)) = {h(n): ∃ positive constants c1 , c2 , and n0 such that 0 ≤ c1 g(n) ≤ h(n) ≤ c2 g(n), ∀ n ≥ n0 }

Hence, we can say that Θ(g(n)) comprises a set of all the functions h(n) that are between c1 g(n) and c2 g(n) for all values of n ≥ n0

If f(n) is between c1 g(n) and c2 g(n), ∀ n ≥ n0 ,then f(n) ∈ Θ(g(n)) and g(n) is an asymptotically tight bound for f(n) and f(n) is amongst h(n) in the set

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