闭极大线性子空间正交补的唯一性

研究赋范线性空间中闭极大线性子空间的正交可补性.利用空间的对偶映射给出固定闭极大线性子空间至多存在一个正交补的充分必要条件,从而给出每个闭极大线性子空间至多存在一个正交补的几何刻画.     

Graded pseudo-valuation domains

Abstract

We introduce a graded version of pseudo-valuation rings for integral domains graded by a torsionless monoid, and we extend several results to the graded situation.     

一个命题的多种证明

在解答某文献中的一个问题的过程中,得到了一个命题.用不同的方法给出了该名题的多种证明.     

非紧L-凸空间中新的Ky Fan匹配定理及其对一般拟平衡问题组的应用

In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and systems of quasiequilibrium problems in noncompact L-convex spaces are obtained.     

一种保护玻璃防水雾透明导电薄膜的设计与制备

为了使光学仪器能适应低温潮湿环境,设计了一种复合型的保护玻璃防水雾透明导电薄膜.采用非平衡闭合磁场反应溅射技术在K9玻璃基底上沉积了氧化铟锡(ITO)导电膜以及复合型的透明导电膜系.采用光谱仪、方阻仪测试了样品的透射光谱以及方块电阻,并对样品进行了环境试验.结果表明,样品的光学技术指标以及抗恶劣环境性能均达到了使用要求...     

仿紧局部紧空间映象的若干结论的推广

让ψ是蕴含仿紧性的映射保持的闭遗传性质．本文建立了仿紧局部ψ空间的闭映象、某些序列覆盖L映象的内在特征的一般性定理,推广了仿紧局部紧空间映象等的若干结论．     

Conditioning of BPM pickup signals for operations of the Duke storage ring with a wide range of single-bunch current

The Duke storage ring is a dedicated driver for the storage ring based oscillator free-electron lasers（FELs）, and the High Intensity Gamma-ray Source（HIGS）. It is operated with a beam current ranging from about1 mA to 100 mA per bunch for various operations and accelerator physics studies. High performance operations of the FEL and γ-ray source require a stable electron beam orbit, which has been realized by the global orbit feedback system. As a critical part of the orbit feedback system, the electron beam position monitors（BPMs） are required to be able to precisely measure the electron beam orbit in a wide range of the single-bunch current. However, the high peak voltage of the BPM pickups associated with high single-bunch current degrades the performance of the BPM electronics, and can potentially damage the BPM electronics. A signal conditioning method using low pass filters is developed to reduce the peak voltage to protect the BPM electronics, and to make the BPMs capable of working with a wide range of single-bunch current. Simulations and electron beam based tests are performed. The results show that the Duke storage ring BPM system is capable of providing precise orbit measurements to ensure highly stable FEL and HIGS operations.