Operations that preserve total dual integrality

There are many useful operations, such as adding slack variables, taking scalar multiples of inequalities, and applying Fourier-Motzkin elimination, that can be performed on a linear system such that if the system defines an integer polyhedron then so does the derived system. The topic dealt with here is whether or not these operations also preserve total dual integrality of linear systems.     

Lattice Approach to Wigner-Type Theorems

The Wigner's Theorem states that a bijective transformation of the set of all one-dimensional linear subspaces of a complex Hilbert space which preserves orthogonality is induced by either a unitary or an anti-unitary operator. There exist many Wigner-type theorems, in particular in indefinite metric spaces, von Neumanns algebras and Banach spaces and we try to find a common origin of all these results by using properties of the lattice subspaces of certain topological vector spaces. We prove a Wigner-type theorem for a pair of dual spaces which allows us to obtain, as particular cases, the usual Wigner's Theorem and some of its generalizations. PACS: 02.40.Dr, 03.65.Fd,03.65.Ta AMS Subject Classification (1991): 06C15, 46A20, 81P10.     

Ambient Spaces of Dimensional Dual Arcs

A d-dimensional dual arc in PG(n, q) is a higher dimensional analogue of a dual arc in a projective plane. For every prime power q other than 2, the existence of a d-dimensional dual arc (d 2) in PG(n, q) of a certain size implies n d(d + 3)/2 (Theorem 1). This is best possible, because of the recent construction of d-dimensional dual arcs in PG(d(d + 3)/2, q) of size ^d–1 _i=0 q ⁱ, using the Veronesean, observed first by Thas and van Maldeghem (Proposition 7). Another construction using caps is given as well (Proposition 10).     

How to make a triangulation of polytopal

We introduce a numerical isomorphism invariant for any triangulation of . Although its definition is purely topological (inspired by the bridge number of knots), reflects the geometric properties of . Specifically, if is polytopal or shellable, then is ``small' in the sense that we obtain a linear upper bound for in the number of tetrahedra of . Conversely, if is ``small', then is ``almost' polytopal, since we show how to transform into a polytopal triangulation by local subdivisions. The minimal number of local subdivisions needed to transform into a polytopal triangulation is at least . Using our previous results [The size of triangulations supporting a given link, Geometry & Topology 5 (2001), 369-398], we obtain a general upper bound for exponential in . We prove here by explicit constructions that there is no general subexponential upper bound for in . Thus, we obtain triangulations that are ``very far' from being polytopal. Our results yield a recognition algorithm for that is conceptually simpler, although somewhat slower, than the famous Rubinstein-Thompson algorithm.

     

Subspaces of Normed Riesz Spaces

It will be shown that a normed partially ordered vector space is linearly, norm, and order isomorphic to a subspace of a normed Riesz space if and only if its positive cone is closed and its norm p satisfies p(x)p(y) for all x and y with -yxy. A similar characterization of the subspaces of M-normed Riesz spaces is given. With aid of the first characterization, Krein's lemma on directedness of norm dual spaces can be directly derived from the result for normed Riesz spaces. Further properties of the norms ensuing from the characterization theorem are investigated. Also a generalization of the notion of Riesz norm is studied as an analogue of the r-norm from the theory of spaces of operators. Both classes of norms are used to extend results on spaces of operators between normed Riesz spaces to a setting with partially ordered vector spaces. Finally, a partial characterization of the subspaces of Riesz spaces with Riesz seminorms is given.     

Lévy–Khintchine Formula and Dual Convolution Semigroups Associated with Laguerre and Bessel Functions

In this work we consider a system of partial differential operators D ₁,D ₂ on K=[0,+[×R, whose eigenfunctions are the functions (x,t), (x,t)K, =((R0)×N)(0×[0,+[), which are related to the Laguerre functions for ((R 0)×N)(0,0) and which are the Bessel functions for (0×[0,+[). We provide K and with a convolution structure. We prove a Lévy–Khintchine formula on K, which permits us to characterize dual convolution semigroups on .     

C波段pHEMT单片Gilbert混频器

采用0.5μmpHEMT工艺研制了Gilbert式单片混频器,设计采用了电流注入技术及跨导级源端负反馈技术,在C波段测试表明:变频增益大于1.5dB,单边带噪声系数典型值为12.5dB,变频带宽约为DC～1GHz,所需本振功率实测值为1.6dBm。     

异质栅非对称Halo SOI MOSFET

为了抑制异质栅SOI MOSFET的漏致势垒降低效应，在沟道源端一侧引入了高掺杂Halo结构．通过求解二维电势Poisson方程，为新结构器件建立了全耗尽条件下表面势和阈值电压解析模型，并对其性能改进情况进行了研究．结果表明，新结构器件比传统的异质栅SOI MOSFETs能更有效地抑制漏致势垒降低效应，并进一步提高载流子输运效率．新结构器件的漏致势垒降低效应随着Halo区掺杂浓度的增加而减弱，但随Halo区长度非单调变化．解析模型与数值模拟软件MEDICI所得结果高度吻合．     

基于IP寻址的彩信网关备份方案研究

在彩唐网关（MMSG）系统双组网模式下，实现两套MMSG系统之同基于IP层容灾切换，达到运行正常的MMSG系统可以筒单快速无缝地接管瘫痪MMSG系统上的所有业务。为实现彩唐网关之间这种基于IP层互为备份的容灾切换，中田移动对MMSG系统按照双组网模式方案进行承建，为用户安全可靠，持续稳定的服务提供有力的保障。采用双组网模式方案，只需要在系统接入的防火墙与交换机上简单地进行子网掩码的收敛，即能实现将故障彩信网关的业务割接到备份的彩唐网关．并且保持对外部网络服务地址不变。     

先进战机多功能相控阵系统综合射频隐身技术

射频隐身是未来先进战机隐身要求的重要方面，研究机载电子设备、尤其天线系统的射频隐身技术是现实的和迫切的；特殊设计的相控阵系统能够同时担负雷达、电子战和高速数据链等各种战术任务，是未来先进战机不可或缺的重要电子装备。文中从相控阵天线系统的辐射特性与LPI、散射特性与LO和战术任务规划等方面论述了实现多功能相控阵系统射频隐身的技术方向，理清研究的先后层次，指出未来研究的发展方向。