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5 May 2004: Finally, suppose that the average of f is significantly higher over A than it is over B. ... This probability increases with t, and the increase is very considerable when t is a couple of standard deviations higher than the average of f over B.

20 Oct 2004: in symbolic form. (For this question the letters m, n, a, b should be understood as ranging. ... over all positive integers - for instance, m really means m N.).

13 Nov 2004: 1 λ1 = inff. G-var f. var f,. where the infimum is taken over all non-constant f : V (G) R. ... Multiplying both side by |Xi||Xj|N 2. and summing over all (i, j),splitting into a sum over I and a sum over Ic, we have.