用Zernike多项式进行波面拟合的一种新算法

该文提出了一种用于计算全息数字波面干涉仪中实现波面Ｚｅｒｎｉｋｅ多项式拟合的精确算法。该算法不同于传统的直接构造方程和Ｇｒａｍ－Ｓｃｈｍｉｄｔ正交化方法,而是用Ｈｏｕｓｅｈｏｌｄｅｒ变换对矛盾方程的广义增广矩阵进行正交三角化,直接求解拟合系数。它避免了构造法方程组,从而避免了以前的方法因构造的法方程组出现严重病态而引入的计算误差,并且易于编程,因而是一种比较理想的实现Ｚｅｒｎｉｋｅ多项式拟合的算法     

可拓集的λ—域关于变换T的性质

本给出可拓集关于变换Ｔ的λ－无救域,λ－遗失域的概念,并得到可拓集关于变换Ｔ的各种域的若干性质。     

Quantum Mechanical Hilbert Transformation for Normally Ordering Coulomb Potential-Type Operators

We show that the technique of integration within an ordered product of operators can be extended to Hilbert transform. In so doing we derive normally ordered expansion of Coulomb potential-type operators directly by using the mathematical Hilbert transform formula.     

间甲基苯胺电化学聚合以及它与对苯二胺电化学共聚的 原位紫外-可见光谱

在0.5 mol•dm－3硫酸介质中, 循环伏安法电解间甲苯胺的原位紫外可见光谱图表明聚间甲基苯胺产生在氧化铟锡导电玻璃电极表面上. 在恒电位条件下, 用原位紫外-可见光谱较详细地研究了间甲基苯胺在氧化铟锡(ITO)上的电化学聚合. 结果表明间甲基苯胺只能在较高电解电位和单体浓度足够大的条件下才能发生电化学聚合. 在0.7 V(相对于饱和的Ag/AgCl), 0.2 mol•dm－3的间甲基苯胺和0.9 V, 20 mmol•dm－3的间甲基苯的实验条件下, 尽管在ITO电极上没有发生电化学均聚合, 但原位紫外-可见光谱表明在电极表面上可能还形成低分子量的齐聚物. 在低电位0.8 V下, 电化学聚合200 mmol•dm－3间甲苯胺时, 有明显的诱导期存在. 在恒电位电解的条件下, 相应的原位紫外-可见光谱和聚合物的傅立叶变换红外光谱(FTIR)表明间甲基苯胺和对苯二胺能发生电化学共聚反应, 由于对苯二胺可能与间甲基苯胺形成了具有较强反应活性的中间体, 使得对苯二胺的加入不但促进和加速了聚合反应, 而且还结合进聚合物中形成了phenazine或类似于phenazine的环结构.     

DFT Study on Molecule C20H10:Five Carbon-carbon Single Bonds Linking Two Pentaprismane Cages

1 INTRODUCTION In recent years, a great number of achievements have been achieved in the field of molecules with cage-like structures, such as fullerenes and poly- hedral hydrocarbons. Each of these molecules has only one cage, such as C60 and dodecahedrane. As is well known, every carbon atom can form four single bonds with other atoms. Since each carbon atom at the cage surface of the carbo-polyhedral molecule only forms three bonds with other carbon atoms, it may form the fourth singl…     

多种气相色谱联用技术分析陕西刺五加茎挥发油的化学成分

采用气相色谱/四极杆质谱(GC/qMS)、气相色谱/正交加速飞行时间质谱(GC/oaTOFMS)和气相色谱/傅里叶变换红外光谱(GC/FTIR)联用技术,对一种陕西产刺五加Acanthopanax senticosus (Rupr. et Maxim.) Harms茎挥发油的化学成分进行了分析。基于GC/qMS谱库的检索功能,结合GC/FTIR在结构鉴别上的优势和GC/oaTOFMS对质谱碎片离子精确的质量测定功能,成功地实现了对68个色谱组分的定性分析。与使用单一的联用技术(例如GC/qMS)相比,利用多种色谱联用技术在定性分析上的互补性,可以明显提高对组成复杂的挥发油类样品分析的可靠性。     

Effect of Excipients on Stability and Structure of rhCuZn-SOD Encapsulated in PLGA Microspheres

When a protein is encapsulated into poly (DL-lactide-co-glycolide)(PLGA) microspheres by means of thedouble-emulsion method, the harsh microspheres formation process including ultrasonifieation, exposure toan organic solvent and a polymer may cause the denaturation of the protein. In this study, we investigatedthe enzymatic activity change and the effect of the excipients on the stability of recombinant human Cu ,Zn-su-peroxide dismutase (rhCu, Zn-SOD) during the emulsification. The specific activity recovery was found to beconcentration dependent and the excipients involved such as PEG 600 and Tween 20. and trehalose wereshown to increase the stability of rhCu, Zn-SOD. The protein structural integrity within the microsphereswas analyzed by FTIR. The structure of rhCu, Zn-SOD within PLGA microspheres containing trehalose wasfound to be similar to that of the native solid state, whereas the protein encapsulated during the preparationin the absence of any excipient changed due to the possible hydrophobic interaction with the polymer. The re-sults suggest that a rational stability strategy for protein to be encapsulated into microspheres should aim atdifferent processes.     

一族Liouville可积系及其约束流的Lax表示、Darboux变换

利用屠规彰格式求出了一族Liouville可积系,通过高阶位势特征函数约束将可积系分解成x部分和t_n部分可积Hamilton系统,求出了该系统的Lax表示及三类Darboux变换。     

带位移退化Markushevich问题的求解

带位移Markushevich问题φ^ [α(t)]=G1(t)φ^-(t) G2(t)φ-(t) f(t),t∈г是1946年由Markushevich AI首先提出问题的推广。它们一并被得到广泛的研究,但是这些研究大都只局限于其Noether性的讨论上。问题解的表达式,特别是封闭形式解,只局限于单位圆上, 且结论较为零星。本文讨论当Г为简单封闭的Lyapunov曲线,且问题满足退化条件|G1(t)|=|G2(t)|≠0时,带位移Markushevich问题的求解。文章指出了其可解条件及解的个数,给出了问题解的表达式,并在一些给定条件下,得出上述问题的封闭形式解。本文包含了G.S.Litvinchuk的相关工作,并推广了王传荣的相应结果。     

一类级数的模变换公式

本文纠正了Apostol在文[1]中给出了一类级数的模变换公式,作为应用,我们得到了ζ（3）的一个估计。