Lecture 2: Asymptotic Notation, Recurrences, Substitution, Master Method
recorded by: Massachusetts Institute of Technology, MIT
published: Feb. 10, 2009, recorded: September 2005, views: 126782
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)
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Description
"My name is Erik Demaine. You should call me Erik. Welcome back to 6.046. This is Lecture 2. And today we are going to essentially fill in some of the more mathematical underpinnings of Lecture 1. So, Lecture 1, we just sort of barely got our feet wet with some analysis of algorithms, insertion sort and mergesort. And we needed a couple of tools. We had this big idea of asymptotics and forgetting about constants, just looking at the lead term. And so, today, we're going to develop asymptotic notation so that we know that mathematically. And we also ended up with a recurrence with mergesort, the running time of mergesort, so we need to see how to solve recurrences. And we will do those two things today. Question? Yes, I will speak louder. Thanks. Good..."
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Reviews and comments:
test
i want to know about recurences
this helped me a lot... thank u Dr. Erik so much
Beware of "f(n) = O(g(n)" since it is NOT really true.
Instead, the "belongs to" symbol ("∈") should be used.
Please take a look at:
http://en.wikipedia.org/wiki/O_notati...
where it states:
'Note that "=" is not meant to express "is equal to" in its normal mathematical sense, but rather a more colloquial "is" [...]'
Thanks to Erik & MIT for sharing this and helping the world to get smarter!
hello,
how do i prove that if f=O(g) then g=Ω(f)?
thanks in advance !
Thanks a lot, this is a great service.
Erik gives a very good explanation of recurrences, now I understand!
(:
Thanks, this video helped me a lot.
thaliva vaalga
Thanks for sharing! I learned a lot.
ALL MIT STUDENTS JOIN MY SITE.
I want to take ur lactures ,but unfortunately vidio is not starting ,em using net on cell
hi ,this was such a shit video. erik should take some teaching lessons. the class students itself was eager to leave the class.
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