EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS

After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.     

A field method for integrating the equations of motion of nonholonomic controllable systems

This paper presents a field method for integrating the equations of motion of nonholonomic controllable systems. An example is given to illustrate the application of the method.     

广义凸集的切锥

本文讨论作者在〔16〕中提出的广义凸集的各种切锥之间的关系,切锥与正则锥的关系以及切锥的一些代数性质和拓朴性质。     

高阶非完整系统运动方程的一类积分

本文给出高阶非完整系统运动方程的一类积分及其存在条件,包括1阶积分(广义能量积分),2阶积分和p(p>2)阶积分,所有这些积分都可按系统的Lagrange函数来构造.举例说明本文方法的应用.     

Exact solutions in 1+1 dimensions of the general two-velocity discrete illner model

The Illner model is the most general two-velocity model of the discrete Boltzmann equation. It includes, as particular cases, both the Carleman and the McKean model. Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model can be studied in a concise way. The conclusions of the precursors need ameliorating. A new type of exact solutions in 1+1 dimensions is obtained. This gives a general method for studying non-trivial exact solutions for the similar discrete Boltzmann equation. Project supported by the National Natural Science Foundation of China (19631060) and the China Post-Doctoral Science Foundation     

无机和金属有机多核分子树络合物

本文介绍近年来国外无机和金属有机多核分子树络合物的研究进展, 主要侧重于这类分子树络合物的设计合成、物化特性、催化反应及其应用前景。     

Hadamard变换显微图象分析III. 单细胞内DNA,RNA和蛋白质的 分析

本文用自制的Hadamard变换显微图象分析仪分析了AO和FITC染色的单细胞的荧光光谱,用该仪器获取了单个洋葱细胞核内DNA的分布图象,并在535nm处分别测定了AQ染色的鸡红血细胞及洋葱表皮细胞核的荧光强度。所得结果与生物学结果吻合,显示了该仪器在单细胞试样分析中的应用价值。     

凸集理论中的几个逆命题

<正> 在这篇文章中,我们总假设S(?)E,S≠Φ中,并用H(S),M(S)分别表示由S生成的凸包和访射流形,不难看出有下述     

对位取代硝基苯与苯乙腈的亲核取代反应

5-氯-3-苯基-2,1-苯并异噁唑(Ⅰ)是合成苯并二氮杂(艹卓)类安眠镇静药物的主要中间体。最早Davis等研究硝基苯衍生物和苯乙腈的反应,发现在吡啶-氢氧化钾中生成(Ⅱ),而在甲醇-氢氧化钾中生成(Ⅰ)。这条途径对制备(Ⅰ)有一定应用价值。     

Measurement of in situ Monomer Sorption in Poly(propylene)

Summary: An experimental method has been developed to compare the amount of monomer absorbed in freshly produced poly(propylene) with the amount of monomer absorbed in the same material after degassing. It has been found that propylene sorption in freshly produced poly(propylene) is significantly higher than the sorption in the same but degassed polymer. The difference depends on the degree of drying and is time‐dependent. This fact can be an explanation for reduced activity often observed in the transition from liquid‐ to gas‐phase polymerization.

Pressure profile during the pressure‐swing part of the experiment.