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12 Aug 2010: Inbrief, we find a second order phase transition near d 1from the CF-BCS phase at larger d, which has zero 111order parameter (OP), to a phase with nonzero 111 OP ... mix with composite bosons (CB’s) and the presenceof CB’s yields nonzero 111 OP.

12 Aug 2010: The loop pattern op-timizes the local dipolar energy, in that each dimer is ori-ented favorably with respect to its four nearest neighbors anddue to the convergent nature of the

12 Aug 2010: 3 numerical operations, whereas the wave func-tions from Ref. 34 require explicit antisymmetrization, anoperation that requires much computation power with an op-eration count scaling exponentially with the system size.

12 Aug 2010: As usual, the fermion op-erators have anticommutation relations ci. † , cj = i, j.

21 Apr 2010: x2jx2j 1. f̂h(x) f (x) dx}. (A.8). Op(. log(1/ h). nh2+ h. ... 2r. Thus B̂1,j = B1,j Op(n2/7), B̂2,j = B2,j Op(n.

24 Mar 2010: I. Stewart. this has resulted in algorithms, e.g. Chiu (1992), that achieve the optimal rate of convergence of therelative error, namely Op(n1/2), where n is the sample size,

26 Feb 2010: o(n1/2H(n)2tK(n)ts) oP(K(n)(sk)). If s t, then. ... OP (n1/2(tk)/(2t1)) OP(n1/2H(n)(tk)) o(H(n)2t).

19 Nov 2010: Proof. Given ε > 0, apply Proposition 4 below with λ = ε so that ‖F Sn Fn‖ = oP (1/.

19 Feb 2010: The Annals of Statistics2010, Vol. 38, No. 2, 1122–1170DOI: 10.1214/09-AOS738 Institute of Mathematical Statistics, 2010. CONFIDENCE BANDS IN DENSITY ESTIMATION. BY EVARIST GINÉ AND RICHARD NICKL. University of Connecticut and University of

2 Jul 2010: The value on t he t op of each bar. is t he unit cell volume ( Ǻ3) of t he syst em.