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CODES AND CRYPTOGRAPHY – Example Sheet 1 TKC Michaelmas ...
https://www.dpmms.cam.ac.uk/study/II/Coding/2007-2008/Exercise_1.pdf26 Oct 2007: g : A1 A2 (B1 B2) ; g : (a1,a2) 7 c1(a1)c2(a2). ... Hint: Recall that H(A,B) = H(A|B) H(B).]. (b) Show that. H(I|Y,X) = 0. -
Bipartite graphs of approximate rank 1. W. T. Gowers ...
https://www.dpmms.cam.ac.uk/~wtg10/approxrankone3.pdf19 May 2007: i) δ1(x, x′) > α for all but at most γ|B|2 pairs (x, x′) B2.(ii) δ1(x, x′) 6 α(1 η) for all but at most ... B. Otherwise, let 1 = 0(1 η)1/2. We. 22. then know that δ1(x, x′) > 1(1 η)1/2 for at least |B1|2 pairs (x, x′) B21 ,
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