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List the properties of asymptotic notations

Mumbai University > Information Technology > Sem 3 > Data Structure and Algorithm analysis

Marks: 3 M

Year: Dec 2013, Dec 2012

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Following are the properties of asymptotic notations:-

1. Transitive

  • If f(n) = Θ(g(n)) and g(n) = Θ(h(n)), then f(n) = Θ(h(n))
  • If f(n) = O(g(n)) and g(n) = O(h(n)), then f(n) = O(h(n))
  • If f(n) = o(g(n)) and g(n) = o(h(n)), then f(n) = o(h(n))
  • If f(n) = Ω(g(n)) and …

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