Give the asymptotic complexity of each of the following functions in simplest terms and then order the functions by asymptotic dominance. That is, produce a permutation, f₁(n), f₂(n),..., such that fi(n) = O(fi+1(n)). Note if any two functions are asymptotically equivalent, i.e., if fi (n) = O(fi+1(n)). Note: 'Ig x' is a simpler notation for 'log₂ x'. . . fn(n)= ((9n²)( 6n)(121))¹/² fi(n) = (4n5 + 5n² + lg n5)¹/2 fj(n) = 400

Give the asymptotic complexity of each of the following functions in simplest terms and then order the functions by asymptotic dominance. That is, produce a permutation, f₁(n), f₂(n),..., such that fi(n) = O(fi+1(n)). Note if any two functions are asymptotically equivalent, i.e., if fi (n) = O(fi+1(n)). Note: 'Ig x' is a simpler notation for 'log₂ x'. . . fn(n)= ((9n²)( 6n)(121))¹/² fi(n) = (4n5 + 5n² + lg n5)¹/2 fj(n) = 400

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Give the asymptotic complexity of each of the following functions in simplest terms and
then order the functions by asymptotic dominance. That is, produce a permutation, f₁(n),
f₂(n),..., such that fi(n) = O(fi+1(n)). Note if any two functions are asymptotically equivalent,
i.e., if fi (n) = (fi+1(n)). Note: 'Igx' is a simpler notation for 'log2 x'.
fn(n)= ((9n²)( 6n)(121))¹/²
fi(n) = (4n5 + 5n² + lg n5)¹/2
fj(n) = 400

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