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In this dissertation, we focus on the incompressible surface obtained from theamalgamation of two 3-manifolds with torus boundaries and obtained some good results.

本文研究了由两个以环面为边界的3维流形作融合积所产生的3维流形中的不可压缩曲面，得到了一些良好的结果。

By means of moving frame, some properties of ruled surfaces are obtained, including the surfaces being minimal, totally geodesic, totally developableand totally umbilical. Some equivalent conditions in which the ruled surfaces are totally developable are obtained. It is abtained that (k+1)-dimensional ruled surfaces are totally geodesic if and only if they are minimal and totally developable.

利用活动标架法研究了直纹面的一些性质，包括极小性，全可展性，全测地性和全脐性，给出了直纹面是全可展性的一组充要条件，同时得到，R(上标 n+1 下标 v)中的k+1维直纹面M是全测地的充要条件是它是极小的且全可展的。

Via studying elastic torsion with trapezium sections, the results obtained by this method could approach the ones obtained by finite method.

通过研究梯形截面弹性体的扭转问题，表明结果与有限元数值计算结果很接近，该方法具有较高的精度，为边值问题的研究和求解提供了一种新的数学方法。

30U、P30W、P30S1 and P30S2 were isolated from PIP30, and P60U、P60W、P60S1 and P60S2 were isolated from PIP60, and P1W、P1S1 and P1S2 were isolated from PIWE1-10, and P10W、P10S1 and P10S2 were isolated from PIWE10-100, and P100U、P100W、P100S1 and P100S2 were isolated from PIWE100 using DEAE Sepharose F. F. The proliferation rates of lymphocyte in vitro of each polysaccharide fractions obtained during the isolation and purification were detected in order to observe their immune activities. The results showed that crude polysaccharides both obtained from ethanol precipitation and ultrafiltrate had the promoting effects on lymphocyte proliferation in various degrees. P30U、P30W、P30S1、P30S2、P60U、P60W、P60S2、P1S1、P1S2、P10S1、P10S2、P100U、P100W、P100S1 and P100S2 had the promoting effects on lymphocyte proliferation.

IP30经阴离子交换层析(DEAE-Sepharose Fast Flow)得到分级多糖P30U、P30W、P30S1和P30S2，PIP60经阴离子交换层析得到分级多糖P60U、P60W、P60S1和P60S2，PIWE1-10经阴离子交换层析得到分级多糖P1W、P1S1和P1S2，PIWE10-100经阴离子交换层析得到分级多糖P10W、P10S1和P10S2，PIWE100经阴离子交换层析得到分级多糖P100U、P100W、P100S1和P100S2；采用体外刺激淋巴细胞增殖实验对离子柱分级分离的多糖进行活性实验表明P30U、P30W、P30S1、P30S2、P60U、P60W、P60S2、P1S1、P1S2、P10S1、P10S2、P100U、P100W、P100S1和P100S2是有活性的。P60W、P60S1、P1S1、P10S1和P100S1经凝胶柱(Sephacryl S系列材料)层析获得五个纯多糖组分P60w1、P60s1、P1SP1、P10SP1和P100SP1。

By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

摘 要：利用文献中提出的求非线性波方程尖峰孤子解的方法，分别求解了两个重要的非线性波方程—Korteweg-de Vries 方程和Benjamin-Bona-Mahony BBM）方程，得到了3类尖峰孤子解；借助双曲函数与三角函数间的变换关系得到了1类尖峰紧孤子解，该型解兼有尖峰孤子解和紧孤子解的特点；在上述结果的基础上构造了2个周期性的尖峰行波解。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

The inner radius of univalence for some particular domains such as triangles, regular polygons and angle sectors have been obtained. Part estimations of inner radius of univalence for ellipses and rectangles have also been obtained.

对三角形，正多边形，角形区域，双曲线围成的区域的单叶性内径已经得到了精确的数值，对于椭圆，矩形的单叶性内径也得到了部分估计。

The TST was applied to multi-scaling vector to increase it's approximation order, and with PR condition, the dual of transformed multi-scaling vector was obtained. Then the special TST was taken for this dual, the dual of original multi-scaling vector with higher approximation order obtained, finally the multi-wavelet function with higher vanishing moment maybe constructed.

我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。

The covariance matrix of receive data is eigendecomposed. and the signal subspace is obtained. Then the channel vector is projected onto the subspace, and more accurate channel vector is obtained. According to the beamforming algorithm, the detection filter coefficients are calculated.

将接收数据的协方差矩阵进行特征值分解，得到信号子空间，将存在估计误差的信道矢量向该子空间投影，就可以得到较为准确的信道矢量，然后利用波束形成计算出检测滤波器的系数。

Methods:We selected a group of 164 healthy volunteers and MRI scan in lumbosacral spine was performed for everyone.We obtained some measurements on MR workstation after exams such as: Antero-posterior diameter of the epidural fat located ventrally and dorsally to the dural sac of S_1 to S_5 level.We obtained mean distances and standard deviation s of all the values and then made a conclusion.

选择164例正常成年人(平均年龄41.4岁)行腰骶椎磁共振扫描，分别测量骶椎各水平前、后硬膜外脂肪的厚度，获得均数及标准差，并以性别、年龄及体重指数分组，进行组间比较及相关因素分析。

He studied their excrement for evidence of livestock hair.

他为家畜毛的证据研究他们的粪便。

Loneliness is not grounds for deportation, deportation of the people are not all lonely people.

寂寞也不是放逐的理由，放逐的人也并不都是孤独的人。