Solved

Why does a log-squared function grow slower than a simple linear function N?

Posted on 2011-10-01
2
535 Views
Last Modified: 2012-05-12
My algorithms textbook says that out of the functions below, N grows the fastest, followed by log^2 N, followed by, log N, and followed by the constant c which has the slowest rate of growth. Why does log log^2 N grow slower than the linear N? I don't really understand what log^2 N is...

c
log N
log^2 N
N
0
Comment
Question by:shampouya
[X]
Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
2 Comments
 
LVL 84

Accepted Solution

by:
ozo earned 500 total points
ID: 36898284
log^2 N is
(log N)*(log N)
0
 

Author Closing Comment

by:shampouya
ID: 36898307
thanks
0

Featured Post

Announcing the Most Valuable Experts of 2016

MVEs are more concerned with the satisfaction of those they help than with the considerable points they can earn. They are the types of people you feel privileged to call colleagues. Join us in honoring this amazing group of Experts.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Introduction On a scale of 1 to 10, how would you rate our Product? Many of us have answered that question time and time again. But only a few of us have had the pleasure of receiving a stack of the filled out surveys and being asked to do somethi…
Article by: Nadia
Linear search (searching each index in an array one by one) works almost everywhere but it is not optimal in many cases. Let's assume, we have a book which has 42949672960 pages. We also have a table of contents. Now we want to read the content on p…
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

707 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question