The behavior of best -approximations as . A counterexample of convergence

In the space of summable sequences we give an example of a one-dimensional affine subspace C such that the best L_p-approximations of 0 from C fail to converge as p↓1. We thus give an answer to this problem of convergence in infinite measure spaces.     

A new exclusion test for finding the global minimum

Exclusion algorithms have been used recently to find all solutions of a system of nonlinear equations or to find the global minimum of a function over a compact domain. These algorithms are based on a minimization condition that can be applied to each cell in the domain. In this paper, we consider Lipschitz functions of order α and give a new minimization condition for the exclusion algorithm. Furthermore, convergence and complexity results are presented for such algorithm.     

Chemical screening of olive biophenol extracts by hyphenated liquid chromatography

Chemical screening using reversed phase HPLC-photodiode array detection (RPLC-DAD) and RPLC-electrospray ionisation mass spectrometry (RPLC-ESI-MS) is widely applied as an approach to streamline natural products research. The full potential of this approach is demonstrated in this paper by application to the chemical screening of olive products including olive mill waste (OMW). Out of 100 biophenols previously reported in olive products, the on-line RPLC-DAD-ESI-MS was able to confirm the presence of 52 compounds in OMW. This included a number of simple phenols, flavonoids and secoiridoids. By careful examination of the combined DAD and ESI-MS data, extra information was elucidated including: the site of glycosidation on the phenol ring of hydroxytyrosol; the identity of the other luteolin-glucoside isomer as luteolin-4′-O-glucoside; identifying rutin rather than the previously reported hesperidin (and the reasons for possible mis-assignment); and the detection of diastereomers of 4-hydroxyphenylethyl alcohol-deacetoxy elenolic acid dialdehyde (4-HPEA-DEDA) and 3,4-dihydroxyphenylethyl alcohol-deacetoxy elenolic acid dialdehyde (3,4-DHPEA-DEDA).     

二参数L{\'e}vy区域在Holder 范数下的局部Strassen重对数律

利用大偏差,得到了二参数L\'evy区域在H\"older 范数下的局部Strassen重对数律.     

Extrapolation methods for approximating arc length and surface area

A well-known method of estimating the length of a parametric curve in is to sample some points from it and compute the length of the polygon passing through them. In this paper we show that for uniform sampling of regular smooth curves, Richardson extrapolation can be applied repeatedly giving a sequence of derivative-free length estimates of arbitrarily high orders of accuracy. A similar result is derived for the approximation of the area of parametric surfaces.      

Proof of the Barker array conjecture

Using only elementary methods, we prove Alquaddoomi and Scholtz's conjecture of 1989, that no Barker array having exists except when .

     

用面阵CCD模拟测定星光漂移的方案研究

在LAMOST焦面光纤定位系统预研中 ,在焦面板上采用面阵CCD跟踪测量亮星的位置及其漂移 ,以对焦面板进行定位。在实验室条件下 ,用光纤出射光斑代替星光 ,即在光纤一端耦合进光 ,并在另一端用面阵CCD接收光斑 ,以模拟实际中接收星光情况。并利用重心法和图像迭加技术对采集的光斑信号进行处理。结果表明 :用面阵CCD测量星光位置及其漂移具有重复精度高 ,稳定性好的特点 ,且通过图像迭加处理 ,可提高星光信号的信噪比。     

TDI CCD成像系统的研究

采用IL E2TDICCD作为传感器 ,与计算机构成了成像系统 ,并在计算机CRT上显示出图像。解决了CCD的时序电路及功率驱动电路设计问题。采用相关双采样技术滤除CCD输出信号复位噪声 ,提高了视频信号的信噪比。CCD的数据传送速度达到 10MHz ,行扫描速度达到 3.5kHz。     

相干滤波成像系统测量光学元件表面疵病

本文利用相干高通滤波成像系统对光学元件表面疵病进行了测量 ,提出了等效疵病面积的概念及计算公式 ,由等效疵病面积可计算出与 GB1185 - 89对应的疵病等级 J。实验装置的分辨率为 10μm,并具有可靠的表面疵病等级评价     

CCD摄像技术在大气光学传输特性监测研究上的应用

介绍以CCD摄像机为光学图像传感系统 ,通过定量测量景物 (目标 /背景 )亮度的大气传输衰减 ,来测定白天大气的光学传输特性的一种光学图像测量方法。介绍了系统的测量原理、方法、系统基本构成、基本技术指标要求和所采用的技术方案 ,给出该系统与激光雷达进行对比试验的结果。实验结果表明 ,经过一定的对比和标定 ,该系统可直接用来测量、监测白天大气的消光系数或水平气象能见度。