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Problem 1 Rank the following functions by order of growth; that is, find an arrangement g, g2, . .. g2o of the functions satisfying g,=0( g2),g2 =0 (g3), . . , g19 = 0 (g20). Partition your list into equivalence classes such that functions f (n) and g(n) are in the same class if and only if f (n) = O(g(n)). Lgn n2 n! (lgn)! 22 4'gn (3/2)" n3 (lgn)² 2gn 22 Ig(n!) Inln(n) (n + 1)! п. 2n n" nlgn 1 n

Problem 1 Rank the following functions by order of growth; that is, find an arrangement g, g2, . .. g2o of the functions satisfying g,=0( g2),g2 =0 (g3), . . , g19 = 0 (g20). Partition your list into equivalence classes such that functions f (n) and g(n) are in the same class if and only if f (n) = O(g(n)). Lgn n2 n! (lgn)! 22 4'gn (3/2)" n3 (lgn)² 2gn 22 Ig(n!) Inln(n) (n + 1)! п. 2n n" nlgn 1 n

Database System Concepts
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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Problem 1 Rank the following functions by order of growth; that is, find an arrangement gı, g2, . .. g20 of the functions satisfying gi=0( g2),g2 = 0 (g3), ..., g19 = 0 (g20). Partition your list into equivalence classes such that functions f (n) and g(n) are in the same class if and only if f (n) = O(g(n)). n! (lgn)! (3/2)" (lgn)² 2!gn 22" 4!gn n3 lg(n!) Inln(n) (n + 1)! п. 2n en n" 22 nlgn 1
Transcribed Image Text:Problem 1 Rank the following functions by order of growth; that is, find an arrangement gı, g2, . .. g20 of the functions satisfying gi=0( g2),g2 = 0 (g3), ..., g19 = 0 (g20). Partition your list into equivalence classes such that functions f (n) and g(n) are in the same class if and only if f (n) = O(g(n)). n! (lgn)! (3/2)" (lgn)² 2!gn 22" 4!gn n3 lg(n!) Inln(n) (n + 1)! п. 2n en n" 22 nlgn 1
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