Question

Sort the following functions with domain Z in the increasing order of growth rate. Use the Big-O notation to compare fi(n) and fj(n); i.e. fi(n)

Answer 1

Sort the following functions with domain Z in the increasing order of growth rate. Use the Big-O notation to compare fi(n) and fj(n); i.e. fi(n) means n belongs to positive integers. O(n) defines the upper bound of an algorithm. 1. Dijkstra takes time when implemented with adjacency lists and priority queue. E= number of edges and V= number

What is Big-O notation?

Big O notation is a type of mathematical notation that expresses how a function limits itself when the argument tends to zero or infinity. Big O belongs to the family of notations known as Bachmann-Landau notation or asymptotic notation, which was created by Paul Bachmann, Edmund Landau, and others. Bachmann chose the letter O to represent for Ordnung, which is German for "approximate order."

Big O notation in computer science is used to categorize algorithms based on how their runtime or space needs increase as the input size grows.

Big O notation is frequently used in analytic number theory to represent a bound on the difference between an arithmetical function and a more accurate approximation.

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