I only need Part B answered, but since it refers to Part A in the question, I went ahead and showed the question for Part A 3-3 Ordering by asymptotic growth ratesa. Rank the following functions by order of growth; that is, find an arrangement2(g2),81, 82,...,830 of the functions satisfying g₁ = (8₂), 82 = N(g3), ...,829 (830). Partition your list into equivalence classes such that functionsf(n) and g(n) are in the same class if and only if f(n) = (g(n)).=Chapter 3 Growth of Functionslg(lg* n)(3)¹In ln n2lgnlg* (Ign)2lg*nn³lg* n(Ign) len2√21gn(√2) Ignlg² nn. 2nennn²lg(n!)nlg lg n4lgn2nn!22"In n(n + 1)!n lgn(lgn)!n¹/Ign1lgn22"+1b. Give an example of a single nonnegative function f(n) such that for all func-tions g; (n) in part (a), f(n) is neither O(g; (n)) nor (gi(n)).

Answered: Image /qna-images/answer/c3a22599-6cd6-414c-af5c-e8c1c6bd5d8b.jpg

Answered: b. Give an example of a single…

b. Give an example of a single nonnegative function f(n) such that for all func- tions g; (n) in part (a), f(n) is neither O(g; (n)) nor №(g; (n)).

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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