for every $1leq s< n$, the $s^{th}$ derivative of a polynomial $p(z)$ of degree $n$ is a polynomial $p^{(s)}(z)$ whose degree is $(n-s)$. this paper presents a result which gives generalizations of some inequalities regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle. besides, our result gives interesting refinements of some well-known results.

Although the Lagrangian method is a powerful dual search approach in integer programming, it often fails to identify an optimal solution of the primal problem. The p-th power Lagrangian method developed in this paper ooers a success guarantee for the dual search in generating an optimal solution of the primal integer programming problem in an equivalent setting via two key transformations. One ...

It is argued that N=6 supergravity on AdS5, with gauge group SU(3) × U(1) corresponds, at the classical level, to a subsector of the “chiral” primary operators of N=4 Yang-Mills theories. This projection involves a “duality transformation” of N=4 Yang-Mills theory and therefore can be valid if the coupling is at a self-dual point, or for those amplitudes that do not depend on the coupling const...

Based on the holographic conjecture for superstrings on Dp-brane backgrounds and the dual (p + 1)-dimensional gauge theory (0 ≤ p ≤ 4) given in hep-th/0308024 and hep-th/0405203, we continue the study of superstring amplitudes including string higher modes (n 6= 0). We give a prediction to the two-point functions of operators with large Rcharge J . The effect of stringy modes do not appear as t...

We write supersymmetry preserving conditions for infinite M5branes intersecting on a (3+1)-dimensional space. In contrast to previously known solutions, these intersections are completely localized. We solve the equations for a particular class of configurations which in the near-horizon decoupling limit are dual to Nf = 2Nc SeibergWitten superconformal field theories with gauge group SU(N) and...

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% &lt;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...