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  • Which notation denotes the upper and lower boundaries of an algorithm’s time complexity?

Analysis and Design of Algorithms

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  • double_arrow Asymptotic Notations
  • double_arrow Space Complexity of Algorithms
  • double_arrow Time Complexity of Algorithms

Which notation denotes the upper and lower boundaries of an algorithm’s time complexity?

Theta notation (Θ(g(n)) represents the upper and lower bounds of an algorithm’s time complexity, suggesting a tight bound.

The term f(n)=Θ(g(n)) means that there are positive constants c 1​ and c 2​ such that for all sufficiently large values of n, the function f(n) lies between c 1​⋅g(n) and c 2​⋅g(n).

Related Questions

  • What does the notation f(x)=o(g(x)) mean as x approaches infinity?
  • What is the basic asymptotic efficiency of exponential classes in terms of time complexity?
  • Which asymptotic notation represents an algorithm’s worst-case time complexity?
  • What does amortized efficiency measure in algorithm analysis?

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