无约束最优化的Polak-Ribière和Hestenes-Stiefel共轭梯度法的全局收敛性

本文在很弱的条件下得到了关于无约束最优化的Ｐｏｌａｋ—Ｒｉｂｉｅｒｅ和Ｈｅｓｔｅｎｅｓ－Ｓｔｉｅｆｅｌ共轭梯度法的全局收敛性的新结果,这里 ＰＲ方法和ＨＳ方法中的参数β_k~(PR)和β_k~HS可以在某个负的区域内取值,这一负的区域与ｋ有关．这些新的收敛性结果改进了文献中已有的结果．数值检验的结果表明了本文中新的 ＰＲ方法和 ＨＳ方法是相当有效的．     

基于ARM的光源跟踪系统的设计

为了最大程度地利用太阳能,就必须提高太阳能跟踪系统的跟踪速度和精度.针对传统以单片机为控制核心的系统存在运算速度慢等缺点的问题,本系统利用ARM微控制器LM3S811为控制核心,处理由光敏三极管采集、经放大和比较后的光源信号,控制步进电机带动跟踪平台运动,结合软件进行相关算法的运算控制最终实现对点光源的自动跟踪.通过对...     

Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product

Tensors have a wide application in control systems, documents analysis, medical engineering, formulating an $n$-person noncooperative game and so on. It is the purpose of this paper to explore two efficient and novel algorithms for computing the solutions $\mathcal{X}$ and $\mathcal{Y}$ of the high order tensor equation $\mathcal{A}*_P\mathcal{X}*_Q\mathcal{B}+\mathcal{C}*_P\mathcal{Y}*_Q\mathcal{D}=\mathcal{H}$ with Einstein product. The algorithms are, respectively, based on the Hestenes-Stiefel (HS) and the Lanczos types of bi-conjugate residual (Bi-CR) algorithm. The theoretical results indicate that the algorithms terminate after finitely many iterations with any initial tensors. The resulting algorithms are easy to implement and simple to use. Finally, we present two numerical examples that confirm our analysis and illustrate the efficiency of the algorithms.     

Von Neumann Algebras Associated with the Group SL2（R）

Let M\mathcal{M} and N\mathcal{N} be the von Neumann algebras induced by the rational action of the group SL ₂(ℝ) and its subgroup P on the upper half plane \mathbbH\mathbb{H}. We have shown that N\mathcal{N} is spatial isomorphic to the group von Neumann algebra L_P\mathcal{L}_P and characterized M\mathcal{M} and its commutant M￠\mathcal{M}' and gotten a generalization of the Mautner’s lemma. It is also shown that the Berezin operator commutates with the Laplacian operator.     

Geographical discrimination of Chinese winter wheat using volatile compound analysis by HS‐SPME/GC‐MS coupled with multivariate statistical analysis

This study aimed to develop a potential analytical method to discriminate the Chinese winter wheat according to geographical origin and cultivars. A total of 90 wheat samples of 10 different wheat cultivars among three regions were examined by headspace solid phase microextraction coupled with gas chromatography‐mass spectrometry (GC‐MS). The peak areas of 32 main volatile compounds were selected and subjected to statistical analysis, which revealed significant differences among different regions and cultivars. Multivariate analysis of variance showed a significant influence of regions, wheat genotypes, and their interaction on the volatile composition of wheat. Principal component analysis of the aromatic profile showed better visualization for wheat geographical origins. Finally, a classification model based on the linear discriminant analysis was successfully constructed for the discrimination of regions and cultivars with the correct classification percentages of 90 and 100%, respectively.     

Nonenzymatic Hydrogen Peroxide Electrochemical Sensor Based on Au‐HS/SO3H‐PMO (Et) Nanocomposite

A newly nonenzymatic sensor for hydrogen peroxide (H₂O₂) based on the (Au‐HS/SO₃H‐PMO (Et)) nanocomposite is demonstrated. The electrochemical properties of the as‐prepared nanocomposite were studied. It displayed an excellent performance towards H₂O₂ sensing in the linear response range from 0.20 µM to 4.30 mM (R=0.9999) with a sensitivity of 6.35×10² µA µM^?1 cm^?2 and a low detection limit of 0.0499 µM. Furthermore, it was not affected by electroactive interference species. These features proved that the modified electrode was suitable for determination of H₂O₂.     

基于单片机的无线仓储湿度检测系统设计

系统以单片机STC89C52RC作为控制处理核心,采用芯片nRF905为无线传输模块,HS1100/HS1101传感器采集湿度信号,设计了一种无线仓储湿度检测仪。经实验测试表明:系统湿度检测范围为10%RH~100%RH;精度达±1%RH,数据无线传输距离200米。设计的系统符合预期要求,可在仓储日常管理、气象、酒厂等不易布线,且需要实时监测湿度参数的场合推广应用。     

SL(2,R)上ωkHα的Fourier变换的渐近性质

引入了SL(2，R)上的函数类ω^kH^α，利用李代数及其万有包络代数在表示空间中的作用，我们得到了ω^kH^α中的函数的Fourier变换渐近的阶。     

INTERNET接入网技术综合分析

从传输介质、调制技术、接入原理及模型和网络结构等方面综合分析了当前主要的INTERNET接入网技术及其应用类型,最后简单介绍了接入网技术的未来发展趋势。     

SL(2,R)上的Fourier变换的渐近性质的注记

该文借助于犛犔（２，犚）上李代数及其万有包络代数讨论了犛犔（２，犚）上函数的Ｆｏｕｒｉｅｒ变换在无穷远处下降的阶与函数的光滑性的关系，我们得到的结论较［６］中的结论好，并由此得到犆２犮（犌）中的Ｐｌａｎｃｈｅｒｅｌ定理．