ABSTRACT. Suppose G is a graph, A(G) its adjacency matrix and f(G, x)=x^n+a_(n-1)x^(n-1)+... is the characteristic polynomial of G. The matching polynomial of G is defined as M(G, x) = x^n-m(G,1)x^(n-2) + ... where m(G,k) is the number of k-matchings in G. In this paper, we determine the relationship between 2k-th coefficient of characteristic polynomial, a_(2k), and k-th coefficient of matchin...

M?c tiêu: Mô t? các ??c ?i?m lâm sàng, c?n sàng tr??c và trong ph?u thu?t, k?t qu? h?u ph?u, bi?n ch?ng chung t? vong s?m vi?n. Ph??ng pháp: H?i c?u, mô lo?t ca không ??i ch?ng. K?t qu?: 141 tr??ng h?p nghiên c?u có tu?i trung bình là 59,8 ±8,3 tu?i, 83% <70 Nam chi?m 81,6%, B?nh n?i khoa y?u t? nguy c? th??ng g?p t?ng huy?t áp 79,4%, r?i lo?n lipid máu 39%, ?ái tháo ???ng 29,1%, gi?m ch?c n...

In this exercise n is a large integer. a) Suppose that there is an integer F = ∏k i=1 p ei i with known primes pi and ei > 0 such that F |(n − 1) and F > √ N . Let R = (n − 1)/F and assume that for each i there is an integer ai such that the following conditions hold: a RF i ≡ 1 mod n and (a R(F/pi) i − 1, n) = 1. Show that Z/(n ·Z)× contains a primitive F−th root of unity and conclude that n i...

It is shown that coherence conditions for monoidal categories concerning associativity are analogous to coherence conditions for symmetric strictly monoidal categories, where associativity arrows are identities. Mac Lane’s pentagonal coherence condition for associativity is decomposed into conditions concerning commutativity, among which we have a condition analogous to naturality and a degener...

It is shown that coherence conditions for monoidal categories concerning associativity are analogous to coherence conditions for symmetric strictly monoidal categories, where associativity arrows are identities. Mac Lane’s pentagonal coherence condition for associativity is decomposed into conditions concerning commutativity, among which we have a condition analogous to naturality and a degener...

(T > 0, n ∈ N) of the discrete-time price dynamics of a financial asset, when the hypothesis a special n-period binomial model and the alternative is a different n-period binomial model. As the observation gaps tend to zero (i. e. n → ∞), we obtain the limits of the corresponding Bayes risk as well as of the related Hellinger integrals and power divergences. Furthermore, we also give an example...

In this paper we count the number ♯ (0,k) n , k ≤ n− 1 of connected components in the space ∆ (0,k) n of all real degree n polynomials which a) have all their roots real and simple; and b) have no common root with their k-th derivatives. In this case, we show that the only restriction on the arrangement of the roots of such a polynomial together with the roots of its k-th derivative comes from ...

It has recently been proposed that the D-instanton expansion of the open topological B-model on P is equivalent to the perturbative expansion of N = 4 super Yang-Mills theory in four dimensions. In this note we extend the results of hep-th/0402016 and recover the gauge theory results for all n-point googly amplitudes by computing the integral over the moduli space of curves of degree n− 3 in P .

The fundamental updating process in the tmnsfemble belief model is related to Lhe concept of specialization and can be described by a specialization matrix. The degree of belief in the truth of a proposition is a degree of justified support. The Principle of Minimal Commitment implies that one should never give more support to the truth of a proposition than justified. We show that Dempster's r...