Thread: HW 4 question3
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Old 05-02-2012, 05:38 AM
elkka elkka is offline
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Default Re: HW 4 question3

rohanag, the recursive bounds can easily be solved for \varepsilon, as 1. they are, essentially, quadratic equations, and 2. only one root is of interest, as \varepsilon>0. By solving the equations you get

(c) \varepsilon = \frac{1}{N}+\sqrt{\frac{1}{N^2}+\frac{1}{N}\ln{\frac{6m_\mathcal{H}(2N)}{\delta}}};

(d) \varepsilon = \frac{1}{N-2}+\sqrt{\frac{1}{(N-2)^2}+\frac{1}{2(N-2)}\ln{\frac{4m_\mathcal{H}(N^2)}{\delta}}}.
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