Definition of B(N,k)

Pallen · #1 06-09-2018, 12:55 PM

I think I have a somewhat intuitive understanding (not complete) on the definition of

, 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!

Thread Tools
Show Printable Version Email this Page
Display Modes
Switch to Linear Mode Switch to Hybrid Mode Threaded Mode