Let A be the following set of discrete functions: A {3n2 + log n, 5n log n, 4", n", n! + log n, 3" + n?}. Consider relation R defined on set À such that R= {(f,9)|f is O(g)} a) Is R an equivalence relation? Justify your answer. b) Find the smallest possible equivalence relation R. that contains R. c) What is the equivalence class of f(n) = 4" with respect to R.?

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Let A be the following set of discrete functions: A {3n2 + log n, 5n log n, 4", n",
n! + log n, 3" + n?}. Consider relation R defined on set À such that
R= {(S,9)|f is O(g)}
a) Is R an equivalence relation? Justify your answer.
b) Find the smallest possible equivalence relation R, that contains R.
c) What is the equivalence class of f(n) = 4" with respect to R.?
Transcribed Image Text:Let A be the following set of discrete functions: A {3n2 + log n, 5n log n, 4", n", n! + log n, 3" + n?}. Consider relation R defined on set À such that R= {(S,9)|f is O(g)} a) Is R an equivalence relation? Justify your answer. b) Find the smallest possible equivalence relation R, that contains R. c) What is the equivalence class of f(n) = 4" with respect to R.?
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