3-2 Relative asymptotic growths Indicate, for each pair of expressions (A, B) in the table below, whether A is 0,0, 22,w, or of B. Assume that k ≥ 1, € > 0, and c> 1 are constants. Your answer should be in the form of the table with "yes" or "no" written in each box. BO Ω a. b. C. d. A lgk n nk √n 2" n'gc e. f. Ig(n!) ne cn n sinn 2n/2 clgn lg(n") 0 ω

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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3-2 Relative asymptotic growths
Indicate, for each pair of expressions (A, B) in the table below, whether A is 0, 0,
, w, or of B. Assume that k ≥ 1, € > 0, and c> 1 are constants. Your answer
should be in the form of the table with "yes" or "no" written in each box.
O
Ω
✪
a.
b.
C.
d.
A
lgk n
nk
2n
e.
n'g c
f. lg(n!)
B
ne
cn
n sinn
2n/2
clgn
Ig(n")
O
ω
Transcribed Image Text:3-2 Relative asymptotic growths Indicate, for each pair of expressions (A, B) in the table below, whether A is 0, 0, , w, or of B. Assume that k ≥ 1, € > 0, and c> 1 are constants. Your answer should be in the form of the table with "yes" or "no" written in each box. O Ω ✪ a. b. C. d. A lgk n nk 2n e. n'g c f. lg(n!) B ne cn n sinn 2n/2 clgn Ig(n") O ω
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