一阶

Yet for thickness shear actuators, due to the shear deformation dominates the plate deflection for shear actuation mechanism, the higher order shear theory can provide more accurate evaluation of the shear strain energy of the plate than the first-order o

但对于厚度剪切型激励器而言，由于激励器主要是引起板的剪切变形，而高阶剪切变形理论比一阶剪切变形理论能更好地反映结构的剪切应变能，因此高阶剪切变形理论可以提供板变形的更为精确的解。

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

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]。

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。

The state space forms of all these predictive PID control system are given, and their characteristic polynomial are derived by augmentation approach and Laplace expansion. At the same time, the performances of robust stability, close-loop response, and anti-disturbance of these control systems are compared with other control systems.

同时，给出了一阶加纯滞后对象、二阶加纯滞后对象、非最小相位加纯滞后对象和高阶滞后对象的预测PID控制算法，推导出了它们的状态空间形式，并通过状态增扩方法和Laplace展开方法，求出了系统的特征多项式。

By transforming high - grade gentle lack one type linear differential equation into the linear differential equation of successive integral, the theory and method for the general solutions of this kind of equation are determined.

方程'+=f是高阶线性微分方程，(约定尹0)=刃，是两项和的形式，其特征是含有相同的底，导数的次数相差一阶，因此不妨定义该方程为：高阶和式次数差一型线性微分方程。

On the base of the reversibility analysis of the PMSM's mathematical model, the PMSM system is decoupled into a second-order linear speed subsystem and a first-order linear stator current subsystem.

通过对永磁同步电机的数学模型可逆性分析，将永磁同步电机系统解耦成二阶线性转速与一阶线性定子电流两个低阶的线性子系统。

The results showed that the aluminum plates had a much better effect than zinc plates in identifying crystalline free silica. The all open-faced samples had good uniformity in the filter no matter how many middles were used, but not so good for the closed-faced sampling. The calibration curve had a good correlation coefficient (r=0.995). Due to different industrial operating patterns, the distribution of crystalline free silica concentration varied by the industrial environment. The dust consisted of 10- 30% of crystalline free silica in all samples obtained from the foundry environments. The crystalline free silica was accounted for less than 10% in the respirable dusts.

结果显示，因为铝板对於结晶型游离二氧化矽具有较良好的补正系数，因此做为本研究的基底标准吸收校正的校正元素；SKC铝制旋风分离器搭配开匣式滤纸匣於一阶中环、二阶中环、三阶中环均有良好之均匀度，反之，搭配闭匣式滤纸匣其均匀度均不佳；分析检量线具有良好线性关系(r=0.995)，因作业型态不同，作业环境会有不同的浓度分布，综观作业环境中可呼吸性结晶型游离二氧化矽之含量均小於10%以下，总粉尘结晶型游离二氧化矽之含量约为10 – 30%之中。

The equilibrium geometries of squaraines substituted by heteropentacyclic, benzo fuzed heteropentacyclic, heterohexacyclic, benzo fuzed heterohexacyclic, heptacyclic, benzo fuzed heteroheptacyclic and zwitterionic squaraines were obtained with ab initio calculation at HF/6-31G* level and the electronic spectra were examined using CIS/6-31G* method.

用从头算6-31G~*方法优化了多种五元杂环、苯并五元杂环、六元杂环、苯并六元杂环、七元环和苯并七元杂环取代的方酸分子以及方酸两性离子分子的几何结构；用CIS／6-31G~*方法计算了其电子光谱；通过TDHF／6-31G~*方法计算其线性极化率、一阶和二阶超极化率来研究分子结构和非线性光学性质之间的关系，同时用两态模型解释了部分分子的一阶超极化率。

The residual parts are surface integrations whose integrands are the products of the scalar Green's function and fields or their derivatives. The high order singularity of integrands in the integral equation is reduced to one order, making for program implementation.

剩下的部分是关於标量Green函数与场强值或与它们的一阶导数值乘积的面积分，这样积分方程的被积函数高阶奇异性被降到一阶，有利於计算机的程序实现。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。