矩阵方程（AX，XB）=（C，D）的反中心对称解及其最佳逼近

本利用矩阵对的广义奇异值分解，得到了(AX，XB)=(C，D)有反中心对称解的充要条件，并给出了其通解的一般表达式，此外，还给出了此矩阵方程的解集合与给定矩阵的最佳逼近的表迭式．     

Stereoselective Synthesis of the Four Stereoisomers of 4-(N,N-Dibenzylamino)-2,2-dimethyl-3-hydroxypentanenitrile

The title compounds 1(a,b) and 1(c,d) were synthesized by (i) non-chelation controlled sodium borohydride reduction of their corresponding α-N,N-dibenzylaminoketones and (ii) the Aldol-type condensation of optically pure N,N-dibenzylaminoaldehydes with the lithium derivative of isobutyronitrile, respectively. Attempted inversion of configurations of these secondary alcohols using the Moriarty method yielded 4-chloro-3-N,N-dibenzylaminonitrile via an aziridinium ion intermediate instead of the expected inverted alcohols.     

CdSe Quantum Dots Based Electrochemiluminescence Immunosensor with Simple Structure for Ultrasensitive Detection of Salbutamol

A rapid and ultrasensitive electrochemiluminescence (ECL) competitive immunoassay based on CdSe quantum dots (QDs) and the shorter chain as possible (cysteamine and glutaraldehyde) has been designed for the detection of salbutamol (SAL). Cysteamine and glutaraldehyde made coating antigen immobilize well on the gold electrode surface through the reaction between functional groups, which brought about the simplicity of the immunosensor to some extent. Transmission electron microscopy image, dynamic light scattering, photoluminescence, ultraviolet‐visible absorption and electrochemical impedance spectra were used to characterize the prepared CdSe QDs and the cysteamine/glutaraldehyde/Ovalbumin‐SAL/anti‐SAL‐QDs immunosensor. In the air‐saturated PBS buffer containing 0.1 M K₂S₂O₈ and 0.1 M KCl (pH 9.0), a strong ECL emission of QDs can be observed which depended linearly on the logarithm of the salbutamol concentration with a wide range from 0.05 ng mL^?1 to 100 ng mL^?1, and a detection limit of 0.0056 ng mL^?1. The sensitivity, repeatability, and specificity of the ECL immunosensor have been evaluated. The sensor has been applied to real samples with satisfactory results. This work will open new ways of detecting food additive residue based on QDs ECL in immunoassays.     

NECESSARY AND SUFFICIENT CONDITION FOR OSCILLATION OF IMPULSIVE DELAY HYPERBOLIC DIFFERENTIAL SYSTEM

This paper deals with the oscillation problems of impulsive delay hyperbolic system.A necessary and sufficient condition is obtained.     

半导体激光器列阵的有限元分析

本文利用有限元法对四种半导体激光器列阵进行了分析,得到了超模的近场强度分布,为实现最低阶超模的均匀强度分布提供了一些可能的结构.     

差分吸收法测量大气压强的误差研究

用级数近似Ｖｏｉｇｔ函数，导出了水平和垂路径吸收系数随压强变化的解析式。分析用数值模拟差分吸收法测量大气压强时激光频移和带宽的影响，计算表明前者是测压误差的主要来源之一。     

黑体辐射的温度敏感性

导出理想黑体辐射强度的相对变化与温度的相对变化之比的一般形式,并给出一般的计算方法和结果。由此讨论理想黑体光谱和带辐射强度的温度敏感特性及其对温度遥感等的意义。     

四元数矩阵方程AXB=C的三对角Hermite极小范数最小二乘解

<正>1引言本文用R~(m×n)表示全体m×n实矩阵的集合,Q~(m×n)表示全体m×n四元数矩阵的集合,R_2~(n×n)表示全体n阶三对角实矩阵的集合,Q_3~(n×n)表示全体n阶三对角四元数矩阵的集合,I_n表示n阶单位矩阵的集合,A~T和A~+分别表示A的转置和Moore-Penrose广义逆,0表示零矩阵,||x||2表示向量x的2范数,S_n=(e_1,e_2,…,e_n),其中e_i为单位矩阵I_n的第i列.对     

利用Lagrange乘数法求解两类技巧性初等问题

本文利用Lagrange乘数法求解两类典型的复数、不等式问题.