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Prove the following by induction (or otherwise):

  1. Aug 14, 2010 #1
    Does anyone have any suggestions on how to go about proving that

    [tex]\left\lceil\frac{1}{2}{\lceil \log m\rceil}^2\right\rceil[/tex] is less than m-1, for m > 64? (using log to the base 2)
  2. jcsd
  3. Aug 14, 2010 #2


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    Prove that it's true for 64 < m <= 128, then use induction to show that it's true for ranges that are 2, 4, 8, ... times as large.
  4. Aug 15, 2010 #3
    Much appreciated!
    Thank you.
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