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Exercise 1. Suppose t₁ (n) = O(n²) and t₂(n) = O(n²). Encircle in the following list all the statements which are true for all t₁ and t2 as above. (a) ti(n) x t₂(n) = O(n¹). (b) ti(n) + t₂(n) = N(n). (c) ti(n)= e(t2(n)). (d) max(tı(n),t2(n)) =O(n3).

Exercise 1. Suppose t₁ (n) = O(n²) and t₂(n) = O(n²). Encircle in the following list all the statements which are true for all t₁ and t2 as above. (a) ti(n) x t₂(n) = O(n¹). (b) ti(n) + t₂(n) = N(n). (c) ti(n)= e(t2(n)). (d) max(tı(n),t2(n)) =O(n3).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Exercise 1.** Suppose \( t_1(n) = O(n^2) \) and \( t_2(n) = O(n^2) \). Encircle in the following list all the statements which are true for all \( t_1 \) and \( t_2 \) as above. (a) \( t_1(n) \times t_2(n) = O(n^4) \). (b) \( t_1(n) + t_2(n) = \Omega(n) \). (c) \( t_1(n) = \Theta(t_2(n)) \). (d) \( \max(t_1(n), t_2(n)) = O(n^3) \).
Transcribed Image Text:**Exercise 1.** Suppose \( t_1(n) = O(n^2) \) and \( t_2(n) = O(n^2) \). Encircle in the following list all the statements which are true for all \( t_1 \) and \( t_2 \) as above. (a) \( t_1(n) \times t_2(n) = O(n^4) \). (b) \( t_1(n) + t_2(n) = \Omega(n) \). (c) \( t_1(n) = \Theta(t_2(n)) \). (d) \( \max(t_1(n), t_2(n)) = O(n^3) \).
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