Clues: (1) f₁(n) = N(n²) (4) f(n) = 0(2¹) (b) fi(n) = 0(f(n)) (2) f₂ (n) = 0(logn) (5) f(n) = N(n!) Circle TRUE (the statement must be always TRUE based on the clues above) or circle FALSE otherwise. (a) f(n) = n(f₂(n)) (c) f₂ (n) = 0(f(n)) TRUE TRUE (3) f3(n) = O(n) TRUE FALSE FALSE FALSE

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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Question

Properties of O, Ω, Θ

Clues:

(1)  ?1(?) = Ω(n2)        (2)  ?2(?) = O(logn)                 (3)  ?3(?) = O(n)

(4) ?4 (?) = O(2n)                 (5)  ?5(?) = Ω(n!)

Clues:
(1) f₁(n) = N(n²)
(4) f(n) = 0(2¹)
(b) f₁(n) = 0(f(n))
Circle TRUE (the statement must be always TRUE based on the clues above)
or circle FALSE otherwise.
(a) f₁ (n) = n(f₂(n))
(c) f₂ (n) = 0(f(n))
(d) f(n) = 0(f(n))
(2) f₂ (n) = 0(logn)
(5) f(n) = N(n!)
(e) f(n) = (f(n))
TRUE
TRUE
TRUE
TRUE
(3) f3 (n) = O(n)
TRUE
FALSE
FALSE
FALSE
FALSE
FALSE
Transcribed Image Text:Clues: (1) f₁(n) = N(n²) (4) f(n) = 0(2¹) (b) f₁(n) = 0(f(n)) Circle TRUE (the statement must be always TRUE based on the clues above) or circle FALSE otherwise. (a) f₁ (n) = n(f₂(n)) (c) f₂ (n) = 0(f(n)) (d) f(n) = 0(f(n)) (2) f₂ (n) = 0(logn) (5) f(n) = N(n!) (e) f(n) = (f(n)) TRUE TRUE TRUE TRUE (3) f3 (n) = O(n) TRUE FALSE FALSE FALSE FALSE FALSE
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