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û 7N oP NQP M ð?ò-PYNÂ. ... û 7N oPNðÅ{lM O ò- NP;ðÅ{lM O òMóðòPN û N Pj]N oP O M NQPj NQP O Móðh?ò-PYN û 7NP;ðR O òMO NQPYM ð¤M

p(m)qkd (kA,kB) = Pr(KA = kA,KB = kB|M = m). (1). ... KA, kA, KB, kB: output keys for Alice and Bob.

these points. Once the sample size n is fixed, either by cost or time considerations, and an op-.

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Typically, an operator in Op hS(q,p,p′) with p < 0 and p′ < 0 is compact. ... 12 (2.35). is an h-pseudodifferential operator. More precisely it belongs to Op hS(0,0,0).

p is a p-complete, nilpotent space and π1(BG. p )= G/Op(G). ... HBG = HBNG(D) = HB(NG(D)/Op′NG(D)) = HBDNG(D)/CG(D). Proof. See Swan [209].

In spinors, if Ka = ιAoA. ′. then an α-plane distribution is defined by oA′. ,

Using the isometry z and the above identification of spinc bundles any Dirac op-. ... lim inf|k|. 1. |k|#{λ spec(PD,kA) : λ ε2k. } 1. 2π.

JOURNAL OF MATHEMATICAL STUDYJ. Math. Study, Vol. x, No. x (201x), pp. 1-74. Astrophysical Dynamics and Cosmology. Tian Ma1, Shouhong Wang2,. 1 Department of Mathematics, Sichuan University, Chengdu, P. R. China.2 Department of Mathematics, Indiana