Data structures and algorithms in C++
Data structures and algorithms in C++
2nd Edition
ISBN: 9780470460443
Author: Goodrich
Publisher: WILEY
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Chapter 4, Problem 28R

Explanation of Solution

Given:

If p(n) is a polynomial in n, then logp(n) is O(logn).

Proof:

Assuming the polynomial function be p(n)=amnm+anm1m1+...+a1n+a0.

It can also be written as,

p(n)<max{|am|,|am1|,...,|a0|}(m+1)+nm (1)

Taking logarithm on both the sides for the Equation (1),

logp(n)<log(max{|am|,|am1|,

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Chapter 4 Solutions

Data structures and algorithms in C++

Chapter 4, Problem 12R Chapter 4, Problem 13R Chapter 4, Problem 14R Chapter 4, Problem 15R Chapter 4, Problem 16R Chapter 4, Problem 17R Chapter 4, Problem 18R Chapter 4, Problem 19R Chapter 4, Problem 20R Chapter 4, Problem 21R Chapter 4, Problem 23R Chapter 4, Problem 24R Chapter 4, Problem 25R Chapter 4, Problem 26R Chapter 4, Problem 27R Chapter 4, Problem 28R Chapter 4, Problem 29R Chapter 4, Problem 30R Chapter 4, Problem 31R Chapter 4, Problem 32R Chapter 4, Problem 33R Chapter 4, Problem 34R Chapter 4, Problem 35R Chapter 4, Problem 36R Chapter 4, Problem 37R Chapter 4, Problem 38R Chapter 4, Problem 39R Chapter 4, Problem 1C Chapter 4, Problem 4C Chapter 4, Problem 5C Chapter 4, Problem 6C Chapter 4, Problem 7C Chapter 4, Problem 8C Chapter 4, Problem 9C Chapter 4, Problem 10C Chapter 4, Problem 11C Chapter 4, Problem 12C Chapter 4, Problem 13C Chapter 4, Problem 14C Chapter 4, Problem 15C Chapter 4, Problem 16C Chapter 4, Problem 17C Chapter 4, Problem 18C Chapter 4, Problem 19C Chapter 4, Problem 20C Chapter 4, Problem 21C Chapter 4, Problem 22C Chapter 4, Problem 23C Chapter 4, Problem 24C Chapter 4, Problem 25C Chapter 4, Problem 26C Chapter 4, Problem 27C Chapter 4, Problem 1P Chapter 4, Problem 2P Chapter 4, Problem 3P
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