Prove the following by induction (or otherwise):

Thread starter seeker101
Start date Aug 14, 2010
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Induction

Aug 14, 2010

seeker101

Does anyone have any suggestions on how to go about proving that

\left\lceil\frac{1}{2}{\lceil \log m\rceil}^2\right\rceil is less than m-1, for m > 64? (using log to the base 2)

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Aug 14, 2010

CRGreathouse

Science Advisor

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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.

Aug 15, 2010

seeker101

Much appreciated!
Thank you.

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