
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:For each of the following, prove that the given recursive relation defines a function in
the given -set using the substitution method (i.e. induction).
(20 points each)
4.) T₁(n) = 4T₁(n/5) + cn², with a base case of T4(1) = c
Guess: T₁(n)
(n²)
5.) T5 = 5T5(n/5)+c√n, with a base case of T5 (1) = c
Guess: T5(n) = O(n)
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