Interaction of gravitational waves with a superconducting cylindrical antenna

In this paper we investigate the effects of gravitational waves (GW) on a superconducting cylindrical antenna (S-antenna). We suggest that the electric fields induced by GW of dimensionless amplitudeh - 10^–24 in the interior of existing cylindrical antenna might be detectable.     

Renormalization group calculation of the critical temperature dependence on longitudinal magnetic field for a disordered superconductor model

We describe a calculation ofT _c (P, H) in a model of a disordered superconductor which is based on the de Gennes-Skal-Shklovskii (dGSS) picture of the large cluster in a percolation system. The calculation is done by carrying out successive decimations on the Landau-Ginzburg Hamiltonian describing the links in the model. We calculateT _c (P, H) in the presence of longitudinal magnetic field by evaluating the renormalized Landau-Ginzburg coupling when the renormalized Landau-Ginzburg length equals the percolation link length in the dGSS picture and obtain the approximate analytic form ofT _c (P, H).Work supported by China Natural Science Foundation     

激发态卟啉衍生物研究(Ⅶ)——取代基对卟啉—硝基苯化合物发光特性的影响

本文报导共价链相连的X-P-Y“三合板”型化合物在二甲基甲酰胺(DMF)和苯溶液中的发光特性.结果发现:引入取代基X=Cl—,CH3O—和Y=苯、硝基苯对中心卟啉的吸收和荧光光谱均无明显影响,仅其峰值频率将因溶剂不同而有所偏移.此外,由Cl—取代的卟啉—苯的荧光强度总比CH3O—取代时高;若将Y取代基由苯改换为硝基苯时,将使CH3O—P—Y化合物的荧光增强,但在Cl—P—Y化合物中则出现相反的趋势.不论在何种化合物中,在Y取代基中的苯环上引入NO2—基后,均可使其消光系数减小,而且当硝基在邻位取代时,这一效应更为显著.所有这些变化规律均不因溶剂不同而异.如果我们认为X—P—Y化合物的发光强度变化和其中心的卟啉大环上的π电子云密度偏移有规律性的关联,那么上述的一些取代基效应是可以理解的.进而,我们认为:本文所报导的事实将有助于充实巧妙设计高效利用太阳能的分子体系的科学依据.     

Strong approximation of Riesz means at critical index on Hp(T) (0<p≤1)

This paper is a continuation of [3]. Suppose f∈H^p(T), 0σ _r ^σ f,σ=1/p?1. When p=1, it is just the partial Fourier sums S_kf. In this paper we establish the sharp estimations on the degree of approximation: $$\left\{ { - \frac{1}{{logR}}\int\limits_1^R {\left\| {\sigma _r^\delta f - f} \right\|_{H^p (T)}^p \frac{{dr}}{r}} } \right\}^{1/p} \leqq C{\mathbf{ }}{}_p\omega \left( {f,{\mathbf{ }}( - \frac{1}{{logR}})^{1/p} } \right)_{H^p (T)} ,0< p< 1,$$ and \(\frac{1}{{\log L}}\sum\limits_{k - 1}^L {\frac{{\left\| {S_k f - f} \right\|_H 1_{(T)} }}{k} \leqq Cp\omega (f; - \frac{1}{{\log L}})_H 1_{(T)} } \) Where $$\omega (f,{\mathbf{ }}h)_{H^p (T)} \begin{array}{*{20}c} { = Sup} \\ {0 \leqq \left| u \right| \leqq h} \\ \end{array} \left\| {f( \cdot + u) - f( \cdot )} \right\|_{H^p (T).} $$ .     

On N-widths in Ip

In this paper we prove that (1<p<+∞), give the characteristics of x^o and the optimal subspace for n-width d_n in space X=l _n ^N . Where d_n in the n-width, in the sense of Kolmogorov, ofD in X, dⁿ is the n-width ofD with respect to X, in the sense of Gel'fand, δ is the linear n-width ofD with respect to X.     

Adaptive boundary element methods for strongly elliptic integral equations

Summary Integral operators are nonlocal operators. The operators defined in boundary integral equations to elliptic boundary value problems, however, are pseudo-differential operators on the boundary and, therefore, provide additional pseudolocal properties. These allow the successful application of adaptive procedures to some boundary element methods. In this paper we analyze these methods for general strongly elliptic integral equations and obtain a-posteriori error estimates for boundary element solutions. We also apply these methods to nodal collocation with odd degree splines. Some numerical examples show that these adaptive procedures are reliable and effective.This work was carried out while Dr. De-hao Yu was an Alexander-von-Humboldt-Stiftung research fellow at the University of Stuttgart in 1987, 1988     

Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics

A convergence theorem of the fractional step Lax-Friedrichs scheme and Godunov scheme for an inhomogeneous system of isentropic gas dynamics (1<5/3) is established by using the framework of compensated compactness. Meanwhile, a corresponding existence theorem of global solutions with large data containing the vacuum is obtained.Partially supported by U.S. NSF Grant # DMS-850403     

Improved method for analyzing estrogens in water by liquid chromatography-electrospray mass spectrometry

An improved LC-electrospray ionization MS method was established for four estrogens (17beta-estradiol (E2), estriol (E3), estrone (E1), and ethynyl estradiol (EE)) in environmental water. Almost complete separation of all estrogens was achieved on a phenyl column with methanol/water as the mobile phase. Quantification was achieved in the negative ionization mode using selected ion monitoring. The instrumental detection limits were 20-30 ng/l for the four analytes. In Milli-Q spiked water, the recoveries of the four estrogens were 72-81%, which was similar to those found for river water spiked with the corresponding deuterated estrogens. The detection limits for the four estrogens in river water were 0.1-0.2 ng/l. The method was used to detect residual estrogens in the Tonghui River, which receives water from a municipal sewage treatment plant in Beijing; E1 (1.1 ng/l) and E2 (0.2 ng/l) were detected.     

高效液相色谱法分离测定洛伐他汀及其开环酸

改进了洛伐他汀的分析方法，以甲醇：水＝80：20为流动相，采用紫外检测器检测，使用C4色谱柱定性、定量分析了洛伐他汀及洛伐他汀羟基酸，并得出了相关方程．实验证明，采用新的色谱条件可在有效地分析洛伐他汀及其开环酸的基础上，节约分析成本．     

一步法合成苯乙烯催化剂表面积炭对活性的影响

应用ＥＳＲ，空气气氛下ＤＴＡ，氢气氛下ＴＰＳＲ，ＩＲ等技术手段，对反应后催化剂的积炭行为进行了研究。结果表明，反应后的催化剂表面不同程度地存在着不同类型和积炭，积炭是催化剂失活的主要原因。