Verification and Application of the Border Effect in Precision Measurement

Detection resolution is crucial for improvement of the measurement precision in the device and instrument. Because of the limited resolution, a fuzzy area with the truth-value as its center is found during the detection. The finding for improving the measurement precision by the border of fuzzy area is first introduced. The higher resolution can be captured by the higher resolution stability which makes the different detection results of the inner and outer fuzzy area on the border reflected more sensitively between the measure and the reference quantity. The system resolution obtained only depends on the stability of measurement resolution, which is much better than the mea~surement resolution itself. Based on the finding, the measurement precision can be improved two or three orders of magnitude. The finding can be used in various kinds of high precision measurement.     

基于模拟退火算法的知情交易研究北大核心CSCD

为了更准确地估计知情交易概率水平(PIN),文章主要使用模拟退火算法并结合交易量时间概念对知情交易模型进行参数估计.算法改进后的知情交易模型已可适用于较高频的交易订单数据,从而更好地捕捉微观市场中PIN的变化.参数估计方面,文章主要使用模拟退火算法对EKOP-PIN、EHO-PIN以及DY-PIN进行带约束的最大似然估计,并将结果与无约束优化的间接估计算法进行了比较,基本解决了以往算法存在的局部最优和数值溢出等问题.数值模拟显示,使用模拟退火算法并运用模式搜索法进行末端优化的混合算法在计算PIN时能够进一步提高估计精度.使用沪深300股指期货高频交易数据的实证结果显示,重新估计的EHO-PIN对波动率有着较高的解释和预测能力,可作为一种有效的市场波动率预警指标.     

紧致黎曼流形上对数热核的高阶导数估计

设M为一个d-维紧致黎曼流形,对任意的t∈(0,1],x,y∈M,记pM(t,x,y)是M的极小热核.本文利用流形M上的水平布朗桥,把文献[1]中关于对数热核lnpM(t,x,y)的单变量的高阶导数估计推广到关于(x,y)两个变量上,即对于任意的非负整数n,m,都存在依赖于n,m和流形M的常数C使得下式成立:|▽_x~n▽_y~mlnpM(t,x,y)|≤C[d(x,y)/t+1/t~(1/2)]~(n+m).     

淮安市1684名中小学生血清钙、铁、锌含量分析

为了解淮安地区中小学生血清中钙、铁、锌含量情况,应用改进的火焰原子吸收光谱法对1684名对象的血清中相关元素的含量进行了测定。结果表明,该地区3种元素总体水平在正常范围内,钙、铁、锌血清含量分别为（102．69±26．30）mg／L、（1．01±0．61）mg／L、（0．86±0．45）mg／L;性别、城乡差别无统计学意义（P〉0．05）;而年级的差别有统计学意义（P值均〈0．0001）,初中组各元素水平明显高于小学组。     

A Super High Resolution Distance Measurement Method Based on Phase Comparison

Phase comparison method can enhance the measurement resolution to 10^-13/T in time domain. This method can also be used in distance measurement in the navigation and positioning. We propose a super high-resolution distance measurement based on linear phase comparison method. A high resolution scheme is put forward on the basis of the research of major factors concerning the phase comparison in the distance measurement. Conversion of a high-linearity phase difference to voltage and high-resolution voltage meter make it possible to obtain a very high phase measurement resolution. When the purpose is to measure distance, the phase noise of frequency source used in the measurement can be reduced partly. Thus this method is favourable for high resolution distance measurement. The precision of the distance measurement can reach 0.1c ps with c being the velocity of light in vacuum.