Complexity theory lecture notes

  • What is complexity and how is it useful?

    Complexity helps determine the difficulty of a problem, often measured by how much time and space (memory) it takes to solve a particular problem.
    For example, some problems can be solved in polynomial amounts of time and others take exponential amounts of time, with respect to the input size..

  • Complexity theory tells us, in other words, that what it might take to change a school's inertial momentum from an ethos of failure to learning excellence is massive and sustained intervention at every possible level (including even those factors that, from a knowledge of initial conditions, appear trivial) until the
Complexity Theory Lecture Notes. There are two graduate-level courses in complexity theory that I have taught here at Rutgers. Notes that were prepared for 
Everyone knows Blum's "speed-up theorem" that shows that there are certain problems that have nothing at all like an optimal algorithm. At first glance, this 

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