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Pallen 06-09-2018 01:55 PM

Definition of B(N,k)
I think I have a somewhat intuitive understanding (not complete) on the definition of B(N,k), but I am still not sure how to express this quantity in mathematical terms. Is the following a valid definition?

B(N,k) := \max_{\mathcal{H}\subseteq \{0,1\}^{\mathcal{X}} \enskip \mathrm{s.t.}\enskip m_{\mathcal{H}}(k) < 2^{k} } m_{\mathcal{H}}(N)

If not, could I get help in defining this mathematically using the terms already used in the textbook? Thank you!

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