首先

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane.

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane. By substituting the mapping function into it governing boundary equation, the complex stress functions can be obtained as

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

First, calculate matrix equation of the auxiliary steam,draw heat distribution based on energy conservation.

首先由建立的考虑辅汽的矩阵方程进行计算，得出以能量守恒为基础的热量利用分布；进而通过热力系统单元的划分，利用火用分析法计算得出系统的火用损失分布规律，并绘制出火用流图。

First, calculate matrix equation of the auxiliary steam,draw heat distribution based on energy conservation. Then through modules division of the thermal system, calculated distribution of energy loss using energy analysis system, and draw a flow diagram.

首先由建立的考虑辅汽的矩阵方程进行计算，得出以能量守恒为基础的热量利用分布；进而通过热力系统单元的划分，利用火用分析法计算得出系统的火用损失分布规律，并绘制出火用流图。

Firstly, using strategy of introducing associated auxiliary equation to a givenpartial differential equation without admitting Lagrangian, we make the extendedequations possess a variational principle. Based on this, the concepts of extendedconservation law and extended symmetry to given partial differential equationare put forwarded.

首先，我们给出了引入伴随方程扩充原方程的策略，使给定偏微分方程的扩充方程组具有对应泛函，即称为Lagrange系统的方法，以此为基础提出了作为偏微分方程传统守恒律和对称概念的一种推广—偏微分方程扩充对称和扩充守恒律的概念；其次，先给出以得到的Lagrange系统为基础，利用N？

In this paper, using different geometric means, the introduction of the corresponding auxiliary function of the Lagrange theorem proof explored.

本文首先采用不同的几何手段，引进相应的辅助函数，对拉格朗日定理的证明进行了探索。

Firstly, we study the properties of these auxiliary functions.

我们首先研究了这几个辅助函数的性质。

Guerrilla term projects, the first is to lower prices to attract customers, or even less than the normal standards, then customers want to pretend that what it loaded into what, since no drawings to construction, if discovered, the workers will exit to allow customers to be living, the third way is really the commitment over time, He added money to allow customers to avail oneself of loopholes.

游击队承接工程时，首先就是以低价格吸引客户，甚至可以低过正常的标准，然后是客户想装成什么样就装成什么样，反正没有图纸，到时施工如果达不到要求，工人就不退场，让客户住不成，第三个办法就是承诺好好的，过一段时间，他再钻空子让客户加钱。

First, the Manchester encoder converts the next available byte in the FIFO to eight (8) single serial bits.

首先，曼彻斯特编码器将FIFO中后一个可用的字节转换成8个单一串行bit。

To make student study availably, must make the student have the desire, request and motives of the study first.

要使学生有效地学习，首先必须使学生有学习的欲望、要求和动机。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷