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1. Use the substitution method to show that the recurrence T(n) = v n TC n) + n has solution T(n) = Q(n lg lg n). 2. Determine the Theta-Bounds of the following functions by using method of your choice: An) =n+ n² + 2" + n* An) = (log n)? + 2n + 4n + log n + 50 III. An) = (n² + 3Xn+1) I. II.

1. Use the substitution method to show that the recurrence T(n) = v n TC n) + n has solution T(n) = Q(n lg lg n). 2. Determine the Theta-Bounds of the following functions by using method of your choice: An) =n+ n² + 2" + n* An) = (log n)? + 2n + 4n + log n + 50 III. An) = (n² + 3Xn+1) I. II.

Database System Concepts
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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Question No 2

 

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Question No 2 1. Use the substitution method to show that the recurrence T(n) = Vn TC n) + n has solution T(n) = Q(n lg lg n). 2. Determine the Theta-Bounds of the following functions by using method of your choice: I. An) =n+n? + 2r + n* II. An) = (log n)? + 2n + 4n + log n + 50 III. An) = (n² + 3Xn+1)
Transcribed Image Text:Question No 2 1. Use the substitution method to show that the recurrence T(n) = Vn TC n) + n has solution T(n) = Q(n lg lg n). 2. Determine the Theta-Bounds of the following functions by using method of your choice: I. An) =n+n? + 2r + n* II. An) = (log n)? + 2n + 4n + log n + 50 III. An) = (n² + 3Xn+1)
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