非空交定理及其应用

本文得到了广义区间空间中几个参数型非空交定理，并用此结果证明了一些新型极大极小定理，截口定理，重合定理，以及变分不等式解的存在性定理。本文中的结果包含（１，３，５－１２，１４－１６）中相应结果。     

Calderon-Zygmund算子多线性交换子的λ-中心BMO估计

建立了由Calderon-Zygmund算子和λ-中心BMO函数族生成的多线性交换子Tb在中心Money空间Bq,λ（R^n）上的有界估计,其中b=（b1,…,bm）,bi是λ-中心BMO函数．     

Electrocatalytic oxidation of methanol at platinum electrode modified with Eu-Fe cyanide-bridged binuclear complexes

<正>The electrocatalytic oxidation of methanol at the platinum electrode modified with Eu-Fe cyanide-bridged binuclear complexes (Eu-Fe film) was investigated for the first time by cyclic voltammetry.Compared with the bare platinum electrode,the results showed that the modified electrode had excellent electrocatalytic activity for the oxidation of methanol;the oxidation peak potential shifted more negatively and the peak current increased about twenty times.The electrooxidation of methanol at the modified electrode with Eu-Fe cyanide-bridged binuclear complexes material exhibited the better tolerance capacity to poison of intermediate species;the peak current was proportional to the concentration of methanol in the range of 0.5-2.0mol/L (R~2 = 0.9991,n =7),which was a comparatively wider linear range.Moreover,based on the linear relationship between the peak current and the square root of scan rate,electrocatalytic oxidation process of methanol was confirmed to be a diffusion control process.Furthermore,according to the counting of electron transfer number(n_α) in the rate-limiting step and the slope of linear equation between acidity of electrolyte and the oxidation peak potential(E_p),the possible mechanism of the electrooxidation of methanol at the modified electrode was primarily discussed.     

PROPERTIES OF p-ω-HYPONORMAL OPERATORS

The approximate point spectrum properties of p-ω-hyponormal operators are given and proved. In faet, it is a generalization of approximate point speetrum properties of ω- hyponormal operators. The relation of spectra and numerical range of p-ω-hyponormal operators is obtained, On the other hand, for p-ω-hyponormal operators T,it is showed that if Y is normal,then T is also normal.     

复射影空间中极小曲面的整体刚性定理

本文主要研究复射影空间中的紧复曲线以及全实极小曲面的整体刚性问题.定义|A|2为复射影空间中紧复曲线∑的第二基本形式的模长平方.我们证明了如果∫∑|A|2dμ＜1/378π,那么∑是全测地的.对于全实极小曲面,我们也得到了类似的刚性定理.更一般地,我们证明了复射影空间中关于极小曲面的整体刚性定理.     

样品温度和空间约束两种方法相结合对激光诱导击穿光谱的影响

升高样品温度和采用空间约束能提高激光诱导击穿光谱的信号强度,两种技术的结合可以进一步提高激光诱导击穿光谱的光谱强度.本文在空气环境中研究了升高样品温度和空间约束效应两种方法相结合对激光诱导击穿光谱的影响,测量了激光诱导铝等离子体的时间分辨光谱.实验结果表明:升高样品温度能增加激光诱导击穿光谱的信号强度,高温样品能耦合更...     

一种基于稀疏编码空间金字塔匹配的图像分类算法

图像分类技术是近年来计算机视觉领域中的研究热点,在移动互联网领域中取得了成功应用。提出了一种基于稀疏编码空间金字塔匹配的图像分类算法。该方法首先对图像的SIFT特征进行稀疏编码,替代了传统的矢量量化方法,可以有效降低量化误差,构建更为准确的图像表征方式,然后结合空间金字塔匹配算法采用线性分类器对图像进行分类识别。在标准测试图像数据库上的实验结果表明,相比BOF和SPM方法,该算法可以将图像分类准确率提高4%~12%。     

ABn,ABnEm型分子或离子空间几何构型的预测

分子的空间几何构型是影响分子性质的重要因素。如何预测分子的空间几何构型,目前常用的理论主要是杂化轨道理论和价层电子对互斥理论(VSEPR理论),相对而言,VSEPR理     

低于临界增长 p -调和型方程组的完全正则性

当p≥ 2时,得到一类低于临界增长的退化椭圆型方程组弱解微商属于局部Morrey-Campanauo空间$L^{ p,\lambda}$和${\cal L}^{p, \gamma}$;在附加条件下,进一步建立其弱解微商的局部H\"older连续性.     

基于L~1度量分析的图象分解与重构算法

Mallat‘s decompositon and reconstruction algorithms are very important in the the field of wavelet theory and its applications to signal processing.Wavelet Anal-ysis,which is based on L^2(R) space,can eliminate redundancy of signals with the help of orthogonality and characterize the processing precision with the meansquare error.In the recent years,it is understood that the mean square measuredoes not match human visual sensitivity well.From the point of view,R.DeVore studied L^1 measure instead.Similarly,considering the principles of image com-pression,Yang introduced and dealt with orthogonality in L^1 space based on thebest approximation theory,and consequently established the corresponding decom-position and reconstruction algorithms for signals.In this paper,error analyses for the algorithms above are taken and the selection of the best parameters in the algorithms are discussed in detail.Finally,the algorithms are compared with the classical Haar and Daubechies‘‘s orthogonal wavelets based on the singal-to-noiseratio data computed.