Densely Continuous Forms in Vietoris Hyperspaces

For countably paracompact normal spaces X and locally compact separable metric spaces Y, a characterization is given for the closure of the set of densely continuous forms from X to Y in the hyperspace of nonempty closed subsets of X × Y under the Vietoris topology. This shows that for such X having no isolated points, every closed subset of X × R that is dense over X can be Vietoris approximated by a semicontinuous function on X.     

Power losses in the international linear collider 20 mrad extraction line at 1 TeV

We have performed a detailed study of the power losses in the post-collision extraction line of a TeV e ⁺ e ⁻ collider with a crossing angle of 20 mrad at the interaction point. Five cases were considered: four luminosity configurations for ILC and one for CLIC. For all of them, the strong beam-beam effects at the interaction point lead to an emittance growth for the outgoing beam, as well as to the production of beamstrahlung photons and e ⁺ e ⁻ coherent pairs. The power losses along the extraction line, which are due to energy deposition by a fraction of the disrupted beam, of the beamstrahlung photons and of the coherent pairs, were estimated in the case of ideal collisions, as well as with a vertical position or angular offset at the interaction point.      

光导开关研究进展及其在脉冲功率技术中的应用

概述了GaAs光导开关的发展历史,通过对GaAs和SiC进行比较指出,SiC由于禁带宽度大、击穿场强高、电子饱和漂移速度大、热导率高等优势被认为是更好的光导开关材料。比较了本征光电导和非本征光电导的不同之处,报道了利用本征光电导和非本征光电导的SiC光导开关的最新进展。介绍了光导开关在超宽带源和紧凑型脉冲功率系统中的应用,提出了SiC光导开关进一步发展的关键技术并进行了展望。     

Multi-turn time-of-flight mass spectrometers with electrostatic sectors

The mass resolution of a time-of-flight (TOF) mass spectrometer is directly proportional to its total flight pathlength. Multi-turn or multi-passage ion optical geometries are necessary to obtain fight distances of sufficient length within reasonable size limitations. We have investigated ion optics for a multi-turn TOF mass spectrometer with electrostatic sectors. The concept of 'perfect' focusing conditions is introduced. Furthermore, a new type of multi-turn TOF mass spectrometer, the MULTUM Linear plus, was developed. It consists of four cylindrical electric sectors and 28 electric quadrupole lenses. It has a vacuum chamber 60 x 70 x 20 cm in size. Mass resolution is demonstrated to increase according to the number of ion cycles. A mass resolution of 350 000 (m/z = 28, FWHM) was achieved after 501.5 cycles. The MULTUM Linear plus analyzer is not simple, however; 28 electric quadrupole lenses are used. In order to reduce the number of ion optical parts, an improved multi-turn TOF mass spectrometer, the MULTUM II, consisting of only four toroidal electric sectors, was also developed. The possibility of tandem mass spectrometric applications using multi-turn TOF mass spectrometers is also discussed.     

Preparation and formation mechanism of CdS nano-films via chemical bath deposition

CdS semiconductor nano-films were grown on ITO glass substrates by means of chemical bath deposition (CBD), with Cd(NO₃)₂ as Cd ion and (NH₂)₂CS as S ion sources. The concentration of Cd ions, deposition temperature, deposition time and post-treatment temperature have an impact on the formation of CdS nano-films. UV-vis absorption spectrum and atomic force microscope (AFM) images indicated that the change of concentration and post-treatment temperature may adjust the band-gap of CdS to obtain stable, homogeneous and compact films. Formation mechanism of the crystal nucleus and CdS film was also discussed. Active sites on the surface of ITO are critical to the formation of the crystal nucleus and a uniform and compact CdS nano-film. The active site and crystal nucleus are formed due to the comprehensive effect of electricity, thermodynamics and chemistry. __________ Translated from Journal of Jilin University (Science Edition), 2007, 45(1): 116–120 [译自: 吉林大学学报(自然科学版)]     

Centrifugally-driven sample extraction, preconcentration and purification in microfluidic compact discs

Centrifugally-driven microfluidic compact discs (μ-CDs) have attracted significant interest within the analytical science community in the past decade, with the primary focus on the potential of such platforms for performing parallel and/or multiplex biological assays and further application in biomedical diagnostics. More recently, μ-CD-based devices were also applied to environmental analysis as platforms for multi-sample extraction and transportation, prior to off-disc analysis in the laboratory. This review critically summarizes recent developments in μ-CD platforms for sample extraction, preconcentration, fractionation and purification in bioanalytical and environmental applications. We also summarize the common methods employed in the fabrication of μ-CD platforms. Further, we discuss preparation of stationary phases in microfluidic channels embedded in μ-CDs, as applications of μ-CDs in sample extraction are generally based on enclosed series of extraction phases and microcolumns.     

基于紧凑拉伸剪切结构的复合型疲劳裂纹扩展研究

针对含I-II型复合裂纹的紧凑拉伸剪切(CTS)试样,研究了不同加载角度下的裂纹扩展路径及裂纹扩展寿命,通过实验数据给出了适宜于CTS试样的等效应力强度因子关系式,并基于此提出了一种新的I-II型复合裂纹扩展模型。研究表明,CTS试样的裂纹沿与加载方向近垂直的方向扩展,基于Tanaka公式的等效应力强度因子更适合于本文CTS试件的裂纹扩展寿命评估。当加载角度处于0°~45°之间时,提出的复合型裂纹扩展模型预测误差控制在5.49%之内,验证了分析模型的可行性和准确性。     

独立随机变量部分和的大偏差概率的估计

设｛Ｘｎ｝ｎ≥１是一列相互独立且具有相同分布、非负非退化的随机变量序列．Ｓ＝Ｘ１＋…＋Ｘｎ，μＥＸ１，ａ是Ｘ１的分布支撑的上确界．假设ＥｅｕＸ１＜∞，ｕ＞０．对μ＜Ｘｎ＜ａ，本文分别讨论了１ｏｇＰ｛Ｓｎ≥ｎｘｎ｝及Ｐ｛Ｓｎ≥ｎｘｎ｝Ｊ当ｎ→∞时的渐近性质。     

非线性一致同时逼近

设Ω是紧Ｈａｕｓｄｏｒｆｆ空间,Ｃ（Ω）表示定义在Ω上取值于实数域的所有实连续函数全体组成的空间,在Ｃ（Ω）上定义一致范数则Ｃ（Ω）构成一个Ｂａｎａｃｈ空间．定义其中 ｜｜· ｜｜Ｂ是Ｒｍ中给定的范数． 设Ｇ是Ｃ（Ω）的一个非空子集,ｆ１,…,ｆｍ是Ｃ（Ω）中给定的ｍ个函数．若存在ｆ∈Ｇ,满足那么称这样的ｆ是Ｇ对Ｆ的最佳一致同时逼近,其全体记为ＰＧ（Ｆ）． 近年来．最佳同时逼近问题作为单元最佳逼近问题的推广,受到了广泛的关注．文［１－６］在一般的Ｂａｎａｃｈ空间中研究了各种意义下的最佳同时逼近的特征…