Vhich of the following are true, explain why: 1. log(n) = O(n) 2. n= 0(log n) 3. log? (n) = O(n) 4. n= 0(log?n) 5. log(n) = 2(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
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Which of the following are true, explain why:
1. log(n) = 0(n)
2. n= 0(log n)
3. log? (n) = O(n)
4. n= 0(log?n)
5. log(n) = Q(n)
6. n = Q(log n)
7. 5n3 + 7n + 13 = 0(n5)
8. 5n3 + 7n + 13 = Q (nº)
9. 5n3 + 7n + 13 = Q (n)
10. log(n!) = 0 (nlog (n))
11. n/2 = O(log n)
12. 2" = 2(n!)
Transcribed Image Text:Which of the following are true, explain why: 1. log(n) = 0(n) 2. n= 0(log n) 3. log? (n) = O(n) 4. n= 0(log?n) 5. log(n) = Q(n) 6. n = Q(log n) 7. 5n3 + 7n + 13 = 0(n5) 8. 5n3 + 7n + 13 = Q (nº) 9. 5n3 + 7n + 13 = Q (n) 10. log(n!) = 0 (nlog (n)) 11. n/2 = O(log n) 12. 2" = 2(n!)
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