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Clues: (1) f,(n)EQ(8**) (2) f,(n)EQAglg(8")) (3) f,(n)E0(lgn") (4) fa(n) e N(8¶g2")) (5) f,(n)EO(n+8) Circle TRUE (the statement must be always TRUE based on the clues above) or circle FALSE otherwise. (a) f,(n)EO(f,(n)) TRUE FALSE TRUE FALSE (b) f.(n)Ɛ0(f,(n)) (c) f.(n)Ɛ0(f;(n)) TRUE FALSE (d) f,(n)EQf,(n)) TRUE FALSE TRUE FALSE (c) f,(n)Ɛ O(1gn")

Clues: (1) f,(n)EQ(8**) (2) f,(n)EQAglg(8")) (3) f,(n)E0(lgn") (4) fa(n) e N(8¶g2")) (5) f,(n)EO(n+8) Circle TRUE (the statement must be always TRUE based on the clues above) or circle FALSE otherwise. (a) f,(n)EO(f,(n)) TRUE FALSE TRUE FALSE (b) f.(n)Ɛ0(f,(n)) (c) f.(n)Ɛ0(f;(n)) TRUE FALSE (d) f,(n)EQf,(n)) TRUE FALSE TRUE FALSE (c) f,(n)Ɛ O(1gn")

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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**Clues:** 1. \( f_1(n) \in \Omega(8^{\lg^* n}) \) 2. \( f_2(n) \in \Omega(\lg(\lg(8^n))) \) 3. \( f_3(n) \in O(\lg^n) \) 4. \( f_4(n) \in \Omega(8(\lg 2^n)) \) 5. \( f_5(n) \in \Theta(n + 8) \) --- Circle TRUE (the statement must be always TRUE based on the clues above) or circle FALSE otherwise. (a) \( f_2(n) \in \Theta(f_5(n)) \) - TRUE - FALSE (b) \( f_4(n) \in O(f_2(n)) \) - TRUE - FALSE (c) \( f_4(n) \in O(f_5(n)) \) - TRUE - FALSE (d) \( f_1(n) \in \Omega(f_3(n)) \) - TRUE - FALSE (e) \( f_2(n) \in O(\lg n^r) \) - TRUE - FALSE
Transcribed Image Text:**Clues:** 1. \( f_1(n) \in \Omega(8^{\lg^* n}) \) 2. \( f_2(n) \in \Omega(\lg(\lg(8^n))) \) 3. \( f_3(n) \in O(\lg^n) \) 4. \( f_4(n) \in \Omega(8(\lg 2^n)) \) 5. \( f_5(n) \in \Theta(n + 8) \) --- Circle TRUE (the statement must be always TRUE based on the clues above) or circle FALSE otherwise. (a) \( f_2(n) \in \Theta(f_5(n)) \) - TRUE - FALSE (b) \( f_4(n) \in O(f_2(n)) \) - TRUE - FALSE (c) \( f_4(n) \in O(f_5(n)) \) - TRUE - FALSE (d) \( f_1(n) \in \Omega(f_3(n)) \) - TRUE - FALSE (e) \( f_2(n) \in O(\lg n^r) \) - TRUE - FALSE
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