1 .2 Order the following functions by growth rate: N, √N, N¹.5, N², Nlog N, N log log N, N log² N, Nlog(N²), 2/N, 2N, 2N/2, 37, N² log N, N³. Indicate which functions grow at the same rate. Suppose T₁(N) = O(f(N)) and T₂(N) = O(f(N)). Which of the following are true? a. T₁(N) + T₂(N) = O(f(n)) b. T₁(N) - T₂(N) = o(f(n)) T₁(N) = 0(1) T₂(N) d. T₁(N) = O(T₂(N)) C.

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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Order the following functions by growth rate: N, N, N¹5, N², Nlog N,
Nlog log N, N log² N, N log(N²), 2/N, 2N, 2N/2, 37, N² log N, N³. Indicate which
functions grow at the same rate.
Suppose T₁ (N) = O(f(N)) and T₂(N) = O(f(N)). Which of the following are true?
a. T₁(N) + T₂(N) = O(f(n))
b. T₁(N) - T₂(N) = o(f(N))
T₁ (N)
C.
= : 0(1)
T₂(N)
d. T₁(N) = O(T₂(N))
Transcribed Image Text:1 2 Order the following functions by growth rate: N, N, N¹5, N², Nlog N, Nlog log N, N log² N, N log(N²), 2/N, 2N, 2N/2, 37, N² log N, N³. Indicate which functions grow at the same rate. Suppose T₁ (N) = O(f(N)) and T₂(N) = O(f(N)). Which of the following are true? a. T₁(N) + T₂(N) = O(f(n)) b. T₁(N) - T₂(N) = o(f(N)) T₁ (N) C. = : 0(1) T₂(N) d. T₁(N) = O(T₂(N))
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