Statement TRUE/ Write the correct formula, FALSE? if it is FALSE. 0( kg(n)) > 0(0(g(n)), for a constant k 0( kg(n)) > 0((g(n)), for a False constant k O(f(n) g(n)) = 0(f(m)) · 0(g(n)) True O(log2 n) > 0(log10 n) False O(log, n) = 0(log10 n) %3D 10n3- 100x + 3 = 0(n³) True 2 +n! = 0(2") True

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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CSC331 Assignment 3
1. The statements below show some features of Big-Oh notation for the functions f (n) and
g(n). Determine whether each statement is TRUE or FALSE and correct the formula in the latter
case.
Statement
TRUE/
Write the correct formula,
FALSE?
if it is FALSE.
0( kg(n)) > 0(0(g(n)), for a constant k
o( kg(n)) > 0((g(n)), for a
False
constant k
o(f(n)· g(n)) = 0(f(n)) · 0(g(n))
True
O(log2 n) > 0(log10 n)
False
( log, n) = 0(log10 n)
10n3
100+3 =
O(n³)
True
2n +n! = 0(2")
True
By using the Rig Oh dofinition ond
Transcribed Image Text:CSC331 Assignment 3 1. The statements below show some features of Big-Oh notation for the functions f (n) and g(n). Determine whether each statement is TRUE or FALSE and correct the formula in the latter case. Statement TRUE/ Write the correct formula, FALSE? if it is FALSE. 0( kg(n)) > 0(0(g(n)), for a constant k o( kg(n)) > 0((g(n)), for a False constant k o(f(n)· g(n)) = 0(f(n)) · 0(g(n)) True O(log2 n) > 0(log10 n) False ( log, n) = 0(log10 n) 10n3 100+3 = O(n³) True 2n +n! = 0(2") True By using the Rig Oh dofinition ond
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