Lecture 2: Asymptotic Notation, Recurrences, Substitution, Master Method
recorded by: Massachusetts Institute of Technology, MIT
published: Feb. 10, 2009, recorded: September 2005, views: 126438
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)
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"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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