By Shan Sa
Because the eastern army invades Thirties Manchuria, a tender woman ways her personal sexual coming of age. Drawn right into a complicated triangle with boys, she distracts herself from the onslaught of maturity by way of enjoying the sport of opt for strangers in a public square--and but the strength of wish, just like the profession, proves inevitable. Unbeknownst to the lady who performs cross, her so much precious and common opponent is a jap soldier in hide. Captivated by way of her good looks up to by means of her daring, unpredictable method of the method video game, the soldier unearths his loyalties challenged. Is there room at the route to warfare for that almost all progressive of acts: falling in love?
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L io N{t){N{t) - 1} ... An+! An:SL} . pcHere c (5) (6) > 0 and k = 0, 1,2, .... Definition 1 We shall say that one has the strict sense level clustering if 7rk(C) == lim 7rk(C; L) L-+oo holds for each c > 0 and k ~ k = e- cckl. (7) 0 . Obviously, the strict sense level clustering is equivalent to the weak convergence as L ~ 00 of the probability distribution {7rk (c; L)} ~o on Z+ to the Poisson distribution with mean c. As is well known in probability theory, a sufficient condition for this weak convergence is that the moments of all orders of {7rk (c; L) }~o converges to those of the Poisson distribution.
MINAMI 1 An outline of Berry-Tabor's theory and the definition of clustering and repulsion of energy levels. Consider a bounded physical system of d-degrees of freedom which is described by a classical Hamiltonian H(p, q) , (p, q) E Rd X Rd . Let H(n) be its quantization, and {En(n)}n~l be the energy levels (eigenvalues) of H(n) . Here n is the Planck's constant, and we suppose that the spectrum of H(n) is purely discrete. Now the assertion of Berry and Tabor ([2]) is the following: Suppose the classical dynamical system associated to H(p, q) is completely integrable.
The number of unoriented edges not contained in T is equal to n, the rank of H1 (Xo, Z). Give an orientation {e1' ... ,eD} to the graph X o such that (12) eb ... ,en ยข T, en+b .. , ,eD E T, where we should note that D = N +n-1. For each i with 1 ~ i ~ n, take a minimal path e; in T with o{e;) = t{ei) and tee;) = o{ei) where o{c) Crespo t{c)) denotes the origin Crespo terminus) ora path C. Put Ci = eie;. e. it has no self-intersection, and that [C1], ... ,[en] form a basis of H1 (Xo, Z). We now take a lift of Ci to X, which we denote bye;,.
