In this problem a, b, c ≥ 0 are constants 1.1. (3) Suppose with the side condition w(n) = w(an) + w(bn) + cn, Find a solution to this equation. Hint: Use the ansatz: w(n) = d n lgn. a + b = 1.

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
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In this problem a, b, c ≥ 0 are constants
1.1. (3) Suppose
with the side condition
w(n) = w(an) + w(bn) + cn,
Find a solution to this equation.
Hint: Use the ansatz: w(n) = d n lgn.
1.2. (3) Suppose
a + b = 1.
w(n) = =
: w(an) + w(bn) + cn².
Find a solution to this equation.
Hint 1: A different ansatz might be needed.
Hint 2: A different side condition might be needed.
Transcribed Image Text:In this problem a, b, c ≥ 0 are constants 1.1. (3) Suppose with the side condition w(n) = w(an) + w(bn) + cn, Find a solution to this equation. Hint: Use the ansatz: w(n) = d n lgn. 1.2. (3) Suppose a + b = 1. w(n) = = : w(an) + w(bn) + cn². Find a solution to this equation. Hint 1: A different ansatz might be needed. Hint 2: A different side condition might be needed.
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