关于完满正规空间

本文证明了完满正规被闭ｌｉｎｄｅｌｏｆ映射逆保持，推广了「２」中的相应结果。     

New existence results for efficient points in locally convex spaces ordered by supernormal cones

In this paper, the definition of supernormality for convex cones in locally convex spaces is discussed in detail on many interesting examples. Starting from the new direction for the study of the existence of efficient points (Pareto type optimums) in locally convex spaces offered by the concept of supernormal (nuclear) cone, we establish some existence results for the efficient points using boundedness and completeness of conical sections induced by non-empty subsets and we specify properties for the sets of efficient points beside important remarks     

Hilbert's 17th Problem for Real Closed Rings

We recall the characterisation of positive definite polynomial functions over a real closed ring due to Dickmann, and give a new proof of this result, based upon ideas of Abraham Robinson. In addition we isolate the class of convexly ordered valuation rings for which this characterisation holds. Mathematics Subject Classification: 03C60, 13L05, 12D15.     

LF映射的网式刻画

本文给出满的连续Ｌ值Ｚａｄｅｈ型函数是闭（完备，开）映射的网式刻画     

Workstation performance as a function of local memory in distributed environments

A case study effort to model distributed computer-aided engineering environments is presented. Typical environments will be hosted on graphics workstations communicating over a local-area-network and supported by one or more file-servers. The paper describes our initial attempts at quantifying performance of alternate architectures being proposed for these engineering environments. Specifically, we focus on predicting workstation performance as a function of local memory. The modeling approach includes Generalized Stochastic Petri Nets (GSPN), Multiclass (BCMP) Queueing Networks, and an experimental method of measuring program characteristics for input parameter estimation.     

Properties of the Absolute That Affect Smoothness of Flows on Closed Surfaces

Let be a closed orientable surface of genus , endowed with the structure of a Riemann manifold of constant negative curvature. For the universal covering , there is the notion of absolute, each of whose points determines an asymptotic direction of a bundle of parallel equidirected geodesics. In the paper it is proved that there is a set on the absolute having the cardinality of the continuum and such that if an arbitrary flow on has a semitrajectory whose covering has asymptotic direction defined by a point from , then this flow is not analytical and has infinitely many stationary points.     

Weyl's theorem holds for algebraically hyponormal operators

In this note it is shown that if is an ``algebraically hyponormal" operator, i.e., is hyponormal for some nonconstant complex polynomial , then for every , Weyl's theorem holds for , where denotes the set of analytic functions on an open neighborhood of .

     

二维光量子阱共振隧穿光谱特性的改善

用时域有限差分法研究了光子晶体量子阱中的量子化能态.研究发现,开腔与闭腔光量子阱结构共振透射峰的数目相同,位置几乎不变,但闭腔光量子阱出射光强更强,透射率更大,频率选择性更好,品质因子Q值更高.同时计算了开腔和闭腔光量子阱光场分布,结果表明,开腔光量子阱为行波阱,闭腔光量子阱为驻波阱,充分证实了闭腔光量子阱更能束缚光场的设想,对其作用机理进行了探讨.     

氢分子在磁场中回归谱的散射矩阵理论研究

利用散射矩阵理论，结合扩展的半经典闭合轨道理论和多通道量子亏损理论，计算了磁场中高里德堡H2分子的回归谱．该方法使用了两个空间散射矩阵来描述里德堡电子的动力学性质，计算中可以包括所有阶的实散射的作用．回归谱的每一个尖峰对应着一条闭合轨道，新的额外峰是由于弹性散射和非弹性散射所引起的通道内和通道间的轨道组合，进一步证明了体系通道间和通道内的散射具有同等的重要性．