For the following pairs of functions, first decide whether f(n) dominates g(n), or g(n) dominates f(n); then decide whether f = O(g), or f = Ω(g), or f = Θ(g), and briefly explains. i. f(n)=n2,g(n)=1000n+30 √1 ii. f(n) = n, g(n) = n3 iii. f(n) = 10 log2 n, g(n) = log10(n3) iv. f(n)=n 100 n ,g(n)=1.2 . 4 nn v. f(n)=2 ,g(n)=2.01 .
For the following pairs of functions, first decide whether f(n) dominates g(n), or g(n) dominates f(n); then decide whether f = O(g), or f = Ω(g), or f = Θ(g), and briefly explains. i. f(n)=n2,g(n)=1000n+30 √1 ii. f(n) = n, g(n) = n3 iii. f(n) = 10 log2 n, g(n) = log10(n3) iv. f(n)=n 100 n ,g(n)=1.2 . 4 nn v. f(n)=2 ,g(n)=2.01 .
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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For the following pairs of functions, first decide whether f(n) dominates g(n), or g(n) dominates f(n); then decide whether f = O(g), or f = Ω(g), or f = Θ(g), and briefly explains.
i. f(n)=n2,g(n)=1000n+30
√1 ii. f(n) = n, g(n) = n3
iii. f(n) = 10 log2 n, g(n) = log10(n3)
iv. f(n)=n
100 n ,g(n)=1.2 .
4
nn
v. f(n)=2 ,g(n)=2.01 .
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