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2 Dec 2015: Let Fq be the set of functionsf : Q C such that, for all integers m, n 0,. ... Let T be the subset of V. containing all vertices joined to S by open paths, and write ωT for theconfiguration ω restricted to T.

22 Mar 2024: n ) (E(λ)) for some (all) λ > 0,(iii) Xn µ a.s. ... All remainders are power series,so may be differentiated term-wise. The exponential estimates obtainedabove are at worst multiplied by polynomials.

3 Jun 2024: Unmeasured confoudnersI Define r1 Γ,δ r2 if V (r2) V (r1) > δ for all distributions in the Γ-sensitivity model. ... 1. What is the ordering of all the ITRs? 2. Which ITRs are among the best?

27 Sep 2021: process of rate The link comprises C circuits and a callis blocked and lost if all C circuits are occupied Otherwise the call isaccepted and occupies a single circuit for the ... during a recent joint project involving Richard Gibbens RhodriGriths Peter

26 Oct 2011: B(x,r δ) π(C(π1(x),r)) B(x,r δ), for all R > R0. (2.5). ... Also for all A π1(B(0,K)) we have that. µ(A) vol(π(A)) 0, as R.

21 Dec 2009: a b). ab. which holds for all a,b 0, yields. log E(Stτ 1). [ ... lim supτ. Σt(τ,k1) Σs(τ,k2) 0 a.s. was shown in [7] to hold for all all k1,k2 R and 0 s t.

3 Feb 2013: over all densities f. February 3, 2013- 5. R. J. Samworth Log-concavity. ... Consider maximising over all log-concave functions. ψn(f) =1. n. n. i=1.

24 Apr 2015: For proba-bility spaces Xi = (i,Fi,Pi), a mapping φ : 1 2 is said to be measure preserving(from X1 to X2) if, for all B2 F2, the inverse image ... Since Bk G′ for. all k, we have G G′. Conversely, since ψ is a sum of G-measurable functions, it

3 Jun 2024: Under H0, we may impute all the potential outcomes by Yi (0) = Yi (1) = Yi. ... Blocking all paths conditional independence. A. B C. (a) Formula YABC A B C.

21 Nov 2012: Then for alltimes t, all starting states b and all sets Di Zdn we have. ... Since the graph is transitive, it follows that for all clusters i and all a,b.