Solving a recurrence T(n) = 2T(n/2) + n^4

Posted by user563454 on Stack Overflow See other posts from Stack Overflow or by user563454
Published on 2011-01-05T04:50:20Z Indexed on 2011/01/05 4:53 UTC
Read the original article Hit count: 157

Filed under:

algorithm

|

mit

I am studying using the MIT Courseware and the CLRS book Introduction to Algorithms.

Solving recurrence T(n) = 2T(n/2) + n4 (page 107)

If I make a recurrence tree I get: level 0 n^4 level 1 2(n/2)^4 level 2 4(n/4)^4 level 3 8(n/8)^4

The tree has lg(n) levels. Therefore the recurrence is T(n) = Theta(lg(n)n^4))

But, If I use the Master method I get.

Apply case 3: T(n) = Theta(n^4)

If I apply the substitution method both seem to hold. Which one is ri?

© Stack Overflow or respective owner

Related posts about algorithm

Jpeg Algorithm vs BMP Algorithm?

as seen on Super User - Search for 'Super User'
I'm just wonder, what the differences are between creating a BMP file algorithm and JPG file algorithm ? If you know the others images' format algorithm, please post them. Thanks. >>> More
word disambiguation algorithm (Lesk algorithm)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hii.. Can anybody help me to find an algorithm in Java code to find synonyms of a search word based on the context and I want to implement the algorithm with WordNet database. For example, "I am running a Java program". From the context, I want to find the synonyms for the word "running", but the… >>> More
Search algorithm (with a sort algorithm already implemented)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hello, Im doing a Java application and Im facing some doubts in which concerns performance. I have a PriorityQueue which guarantees me the element removed is the one with greater priority. That PriorityQueue has instances of class Event (which implements Comparable interface). Each Event is associated… >>> More
Is there any algorithm for finding LINES by PIXEL COLORS on picture?

as seen on Stack Overflow - Search for 'Stack Overflow'
So I have Image like this I want to get something like this (I hevent drawn all lines I want but I hope you can get my idea) I need algorithm for finding all straight lines on it by just reading colors of pixels. No hard math, no Haar, no Hough. Some algorithm which would be based on points… >>> More
collsion issues with quadtree [on hold]

as seen on Game Development - Search for 'Game Development'
So i implemented a Quad tree in Java for my 2D game and everything works fine except for when i run my collision detection algorithm, which checks if a object has hit another object and which side it hit.My problem is 80% of the time the collision algorithm works but sometimes the objects just go… >>> More

Related posts about mit

Question about the MIT License and open/closed source

as seen on Stack Overflow - Search for 'Stack Overflow'
Hallo, I have a small useful application (Websites managment tool developed in Java) which I want to publish online for free (every one can use it for free). But I do not want to make it opne source yet. It is additional affort to clean up the code, documantation and so on... And this is just a… >>> More
Question about the MIT License and open/clsoed source

as seen on Stack Overflow - Search for 'Stack Overflow'
Hallo, I have a small useful application (Websites managment tool developed in Java) which I want to publish online for free (every one can use it for free). But I do not want to make it opne source yet. It is additional affort to clean up the code, documantation and so on... And this is just a… >>> More
SQL Server 2012 - AlwaysOn

as seen on Oracle Blogs - Search for 'Oracle Blogs'
Ich war nicht nur irritiert, ich war sogar regelrecht schockiert - und für einen kurzen Moment sprachlos (was nur selten der Fall ist). Gerade eben hatte mich jemand gefragt "Wann Oracle denn etwas Vergleichbares wie AlwaysOn bieten würde - und ob überhaupt?" War ich hier im falschen… >>> More
Debian - "WARNING: untrusted versions of the following packages will be installed!"

as seen on Server Fault - Search for 'Server Fault'
When i try to install or update any packages I get: Untrusted packages could compromise your system's security. You should only proceed with the installation if you are certain that this is what you want to do. I strongly suspect this is related to the error i get on update: $ sudo aptitude update Get:… >>> More
Sharing code in LGPL and proprietary software

as seen on Programmers - Search for 'Programmers'
Hi I'm working on a piece of software that'll be released as a dll under LGPL. The software interfaces with hardware from a small company that has provided me with the needed libraries and some code to use them correctly (not only headers but its all in a separate file). As far as i know, the same… >>> More