Big O Problem
Not what you're looking for?
Show that if:
T(1) = a
T(n) = T(n-1) + n^k, for n > 1
then T(n) is O(n^(k+1)). You may assume k>=0. Also, show that this is the tightest simple big-oh upper bound, that is, that T(n) is not O(n^m) if m < k+1. Hint: Expand T(n) in terms of T(n-i), for i = 1,2,..., to get the upper bound. For the lower bound, show that T(n) is at least cn^(k+1) for some particular c >0.
Purchase this Solution
Solution Summary
Big O Problem is solved.
Purchase this Solution
Free BrainMass Quizzes
Excel Introductory Quiz
This quiz tests your knowledge of basics of MS-Excel.
Word 2010: Table of Contents
Ever wondered where a Table of Contents in a Word document comes from? Maybe you need a refresher on the topic? This quiz will remind you of the keywords and options used when working with a T.O.C. in Word 2010.
Javscript Basics
Quiz on basics of javascript programming language.
Java loops
This quiz checks your knowledge of for and while loops in Java. For and while loops are essential building blocks for all Java programs. Having a solid understanding of these constructs is critical for success in programming Java.
Word 2010: Tables
Have you never worked with Tables in Word 2010? Maybe it has been a while since you have used a Table in Word and you need to brush up on your skills. Several keywords and popular options are discussed as you go through this quiz.