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Constructive Induction

  1. Apr 22, 2008 #1
    1. The problem statement, all variables and given/known data
    I'll try my luck here: Can someone explain this "constructive induction" needed to solve recursive equations?

    For example, use "constructive induction" to show that the following is [tex]\Theta (n)[/tex]

    [tex]T(n) = 1 \leftrightarrow n = 1,2[/tex]
    [tex]T(n) = T\lceil n/4\rceil + T \lceil 2n/3\rceil + \Theta (n) \leftrightarrow n > 2[/tex]

    3. The attempt at a solution

    I keep getting exponential for lower and upper bounds.
  2. jcsd
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