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- If we condition on the event that no joining occurs then the distribution of jS out l 2 +k (c 2 )j is little
- Sometimes it is possible to give strong bounds even when the random variables are not independent. In one particularly useful case the random variables form a martingale.
- Given an upper bound on 2 we can upper bound and lower bound 0 (1) by
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- T h ' ! (x; u) \Gamma ' ! (x; u) = [T h !(~x) \Gamma !(~x)][T h (jxj \Gamma2 h x; u i) \Gamma jxj \Gamma2 h x; u i] + [T h !(~x) \Gamma !(~x)]jxj \Gamma2 h x; u i (5.1)
- Proof of Lemma 6.1. The proof is by induction. The stated inequalities clearly hold for all terminal nodes. Assume that N n
- Let ` be a line making an angle ' with the bottom face of the square which intersects the square but not the bottom face. Thus, we have \Gamma
- conditions, e.g., expander conditions [4] which can, for the same graph, provide such guarantees. In the case of lowdensity paritycheck codes and turbocodes error floors
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