Synthesis and Characterization of A Novel Cholesteric Liquid Crystalline Containing Carboxyl Group

A novel liquid crystal compound with a carboxyl group at one end, cholest-5-en-3-ol-(3β) hydrogen decanedioate (1) was successfuly prepared by the reaction of cholesterol with sebacoxl chloride. Its chemical structure and liquid crystalline properties were characterized by FTIR.CNMR,HNMR,POM and DSC. The compound with an active carboxyl group shows themortropic liquid crystalline behaviour.     

（K1（x），K2（x））-有限伸张映射

该文首先给出(K1(x),K2(x))一有限伸张映射的定义,然后研究其自我提高的可积性性质.最后利用Caccioppoli型不等式得到可去奇异性结果.     

教学用声光实验装置和激光针灸机研制成功

一、教学用声光实验装置正式投产 由国家海洋局海洋技术研究所研制的教学用YZY3-1 型声光调制器已有偿转让给辽宁阜新市测试仪器厂.1985年6月30日,在厂家召开了市级产品定型鉴定会,现已正式投产.该产品包括三部分:固体声光器件、可供研究液体介质的声光波及电驱动部分.与目前大学实验室通用仪器配套,可完成包括光通讯、声速测量等20个现代声光学实验、该产品并备有《声光原理及其实验》一书,该书共约15万字. 二、利用声光调制器的调制型激光针灸机     

第三型伯恩斯坦插值过程的双结点修正

In this work,the well-known problem put forward by S N Bernstein in 1930 is studied in a deep step.An operator is constructed by revising double interpolation nodes.It is proved that the operator converges to arbitrary continuous functions uniformly and the convergence order is the best.     

中立型随机泛函微分方程的有界性

本文主要讨论了中立型随机泛函微分方程的有界性.我们得到的结果本质上也是一种随机的LaSalle定理.     

Euler函数积性的概率证明

本文根据初等数论课程的教学经验，给出了Euler函数积性的一个易为学生理解的概率证明。     

A Kind of Generalization of the Curve Type Node Configuration in R^S（S 〉 2）

A kind of generalization of the Curve Type Node Configuration is given in this paper,and it is called the generalized node configuration CTNCB in RS(S＞2).The related multivariate polynomial interpolation problem is discussed.It is proved that the CTNCB is an appropriate node configuration for the polynomial space PSn (S＞2).And the expressions of the multivariate Vandermonde determinants that are related to the Odd Curve Type Node Configuration in R2 are also obtained.     

1^∞型极限源于重要极限lim（x→0（1＋x）^1/x，又胜于重要极限

举例说明1^∞型极限比重要极限lim（x→0（1＋x）^1/x更重要.