阶

The results show that whether the stiffness profiles are smoothly varying or layered, the fundamental mode dominates the surface wave field and the effective phase velocity approaches to the phase velocity of the mode in far field for the regular profiles. For the irregular profiles, the higher modes have a significant influence on the surface wave field. The intensity and the frequency range of the influence are related to variation of the profile stiffness.

结果显示，无论剖面刚度是缓变还是分层变化，对规则剖面，表面波场基阶模态占主导地位，远场表面波有效相速度与基阶模态相速度接近；对不规则剖面，表面波场中高阶模态影响较大，影响程度及频率范围与剖面刚度变化有关。

We denote by M_n and S_n the space of n×n fullmatrices and the space of n×n symmetric matrices over F, respectively. Let GL_nbe the general linear group over a field F.

设S_n是域F上n阶对称矩阵空间，M_m是域F上m阶全矩阵空间，GL_n是域F上n阶可逆矩阵群。

We anew confirm every generated relation of non-commutative group of 16 orders by using Hlder, O.

通过群的同构分类的观点，分析了16阶非交换群的生成关系，并使用霍尔德定理、N/C定理及元素阶的分析，重新确定了16阶非交换群的生成关系。

The second-order linear homogeneous differential equations in differential equation theory occupies an important position, but the second order differential equation has no general solution method, most of the solutions of these equations is difficult to obtain analytical expressions and even some impossible to obtain the solution of the form, and the second order differential equation solving is divided into homogeneous and inhomogeneous problems.

二阶线性齐次微分方程在微分方程理论中占有重要位置，但二阶变系数微分方程却没有一般的求解方法，大多数这类方程很难求得解的分析表达式甚至有的根本不可能求得其解的分析形式，并且二阶变系数微分方程的求解又分为齐次的和非齐次的问题。

This article discusses the use of the theorem of the residues to calculate Cauchy's Principal values of the improper integral, where auxiliary function has poles of higher order on the real axis and proposes a new theorem of culcuation.

在复函中应用留数定理计算广义积分的科希主值时，许多著作仅讨论了辅助函数在实轴上有一阶极点的情形[1-3]，有的则认为：辅助函数"在实轴上的奇点不能是二阶或二阶以上的极点["4，5]。

Two special cases are discussed: flow due to a constant pressure gradient and flow due to a periodic one; In chapter 4, on the basis of the method of fractional element proposed by Schiessel et al and of the generalized fractional element networks proposed by Xu and Tan and by the use of discretization method for solving the inverse Laplace transform, we obtain the creep compliance of Zener and Poynting-Thomson models which are composed of the generalized fractional element networks.

并讨论了如下两种特殊情形：常压力梯度下的流动和周期性压力梯度下的流动；第四章在Schiessel等提出的分数阶单元法和徐明瑜等提出的广义分数阶单元网络的基础上，应用离散求逆Laplace变换的方法，给出并讨论了广义分数阶单元网络Zener和Poynting-Thomson模型的蠕变柔量。

Firstly, by adopting the thought of Adomian's decomposition method, the generic dynamic model in mechanical systems are transformed into a standard first-orderdifferential-equations, and then the inverse operator method for the approximate analytic solution of nonlinear mechanical system is developed based on the exact solution in form.

主要研 究工作如下：利用Adomian的分解方法的思想，把机械系统中最一般的动力学模型转化为一阶标准型微分方程组，以形式上的精确解的表达式为基础构造了求解机械系统非线性模型近似解析解的逆算符方法；针对机械系统非线性模型的特点，提出了直接处理高阶方程的不降阶逆算符方法；证明了该方法的收敛性。

This proposal has been tested in the present study, in a second-order motion configuration, which was assumed to be irresolvable for the linear filter model. A luminance defined first-order motion and a motion-contrast defined first-order motion were used as control conditions. The results suggest that there was no significant difference between the amplitudes of the flash-lag effect in the second-order motion and in the first-order motion.

用视网膜外推机制不再有效的二阶运动刺激取代前人实验中的一阶运动刺激来研究闪现滞后现象，发现在视网膜推断机制失效的情况下，闪现滞后现象并没有减小，而是和一阶运动刺激条件下的量相当。

This course will cover: fundamental electrical circuit quantities, and circuit elements; circuits laws (Ohm law and Kirchhoff voltage and current laws); series and parallel connections of circuit elements; operational amplifiers; network theorems; nodal and mesh analysis methods; analysis of natural, step response, and response to sinusoidal input of first and second order circuits; phasor analysis; introduction to computer emulation to electrical circuit.

中文简介：本课程将覆盖以下内容：电子电路的基本原理，电路元件，基本电路定律(欧姆定律，基尔霍夫电压定律和基尔霍夫电流定律)；电子元器件的的串连和并联；运算放大器；网络理论；节点分析法和网孔分析法；一阶电路和二阶电路的普通信号，阶跃信号及单音信号的响应特性的分析；矢量分析法；并介绍计算机电路仿真的相关知识。

In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要：本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式，对这些余项公式进行分析，给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式，一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式，一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式，使得在已知原函数在各节点的值后，通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值，将以往提出的平均导数的二阶精度提高到四阶。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。