Reflections on the Gauss Principle of Least Constraint

The Gauss principle of least constraint is derived from a new point of view. Then, an extended principle of least constraint is derived to cover the case of nonideal constraints. Finally, a version of the principle for general underdetermined systems is adumbrated. Throughout, the notion of generalized inverses of matices plays a prominent role.     

Decomposition of a class of functionals

LetX(t) be a symmetric conservative Hunt process. In this paper, we decompose the functionalu(X(t), t) into a sum of a square integrable martingale and a regular 0-quadratic variation process. This paper is based on the author's dissertation, presented for the degree of Doctor of philosophy in Institute of Applied Mathematics, Academia Sinica under the supervision of Prof. Yan Jia-an.     

斜角入射沉积法制备渐变折射率薄膜的折射率分析

斜角入射沉积法是一种制备薄膜的新颖方法,它可以用来制备渐变折射率薄膜.本文首先探讨了膜料的沉积入射角为α,薄膜柱状生长倾斜角为β时的薄膜的填充系数;之后利用drude理论,分析研究了斜角入射沉积法制备渐变折射率薄膜的折射率与薄膜的入射角和生长方向的关系. 关键词： 斜角入射沉积 渐变折射率 填充系数     

基于AMESim的制动钳动态所需液量检测仿真研究

制动钳所需液量检测是制动钳性能检测中十分重要的一部分,目前关于制动钳动态所需液量检测研究缺乏理论和仿真依据,无法结合实际检测实现制动钳故障诊断,针对这一问题,在研究主缸位移差值法动态所需液量检测系统数学模型的基础上搭建AMEsim仿真模型,对主缸活塞速度和钳体结构因素进行仿真分析,并通过实验验证模型的正确性。结果表明：主缸活塞速度对动态所需液量检测影响较小;回位弹簧刚度、制动间隙和摩擦块、橡胶密封圈硬度对动态所需液量曲线有不同程度的影响,可以根据曲线特征实现制动钳故障诊断。     

Cationic Pd(II)-catalyzed enantioselective cyclization of aroylmethyl 2-alkynoates initiated by carbopalladation of alkynes with arylboronic acids

A cationic palladium(II)-catalyzed enantioselective intramolecular addition of vinylpalladium species to ketones initiated by the carbopalladation of alkynoates under mild conditions without a Pd(II)/Pd(0) redox system was developed with high yield and enantioselectivity. This cascade reaction provides an efficient method for the construction of optically active hydroxylactones.     

BLUE LIGHT-EMITTING COIL-ROD-COIL BLOCK OLIGOMERS WITH RIGID p-HEXAPHENYL AS CHROMOPHORE

The synthesis and characterization of coil-rod-coil triblock oligomers, poly（ethylene oxide）-b-p-hexaphenyl-b- poly（ethylene oxide）, are described. The number of repeating ethylene oxide units in each flexible block are 3 （EO3-PHP- EO3）, 8 （EOs-PHP-EO8）, 13 （EO13-PHP-EO13）, and 17 （EO17-PHP-EO17）, respectively. The structures of these oligomers are confirmed by ^1H-NMR, 13C-NMR, EA, and MALDI-TOF mass spectrometry. The introduction of soluble poly（ethylene oxide） coils to the rigid p-hexaphenyl segment significantly improves the solubility of the oligomers, so they can form smooth thin films by spin-coating from their solutions. The oligomers are quite thermally stable and have 1% weight loss temperatures at above 340℃ under nitrogen. They can emit strong blue light in both solution and film state, and have fluorescence quantum yields of about 40% in chloroform. They are expected to have potential applications in optoelectronic devices.     

正向电压激发下ZnSe:Er3+MIS二极管的高场电致发光

本文研究了在室温下经Er离子注入ZnSe晶体的电致发光.报导了三价稀土离子在ZnSe MIS结二极管中的发光.阐明了Er3+离子是在高电场下通过过热电子直接碰撞激发的,根据分立中心是高场激发的有效发光中心,可望在这类器件中有较高的效率.     

Uniform exponential attractor for nonautonomous partly dissipative lattice dynamical system

In this paper,we consider the existence of a uniform exponential attractor for the nonautonomous partly dissipative lattice dynamical system with quasiperiodic external forces.     

Extraction behavior of copper(II) ion with a hydrophobic amino-functionalized ionic liquid

We have prepared the hydrophobic amino-functionalized ionic liquid (IL) 1-(2-aminoethyl)-3-butylimidazolium hexafluorophosphate and investigated its extraction behavior for copper(II) ion as a model cation. The IL, due to the presence of an amino group, is capable of complexing Cu(II) in a ratio of 6:1. The parameters affecting the extraction efficiency were optimized. The IL-based liquid–liquid microextraction was successfully applied to the analysis of Cu(II) in an environmental water standard reference material. The results are promising in terms of liquid–liquid microextraction, separation, and preconcentration of Cu(II).

Electric field enhancement in guided-mode resonance filters

Electric fields inside guided-mode resonance filters (GMRFs) may be intensified by resonance effects. The electric field enhancement is investigated in two GMRFs: one is resonant at normal incidence, the other at oblique incidence. It is shown that the two GMRFs exhibit different behaviors in their electric enhancement. Differences between the electric field distributions of the two GMRFs arise because coupling between counterpropagating modes occurs in the first case. It is also shown that the order of the electric field of maximum amplitude can be controlled by modulation of the dielectric constant of the grating.