简洁地

In chapter 3, we give a simple depiction for the main problem and results studied in this paper. We will introduced the so called characteristic algebraic system related to the problem and get simple descriptions for the blow-up criteria.

第三章简单叙述了本文要研究的主要问题及结论，并引入了包含所有非线性参数的特征代数方程组，用以统一而简洁地刻画所研究问题的临界指标。

In order to represent accurately and concisely the changing characteristics of one-dimensional spectrum density function in the chatter development. This thesis, for the first time, proposes the Edgeworth asymptotic expansion formulas of spectral density. A detailed proof is given. Some new statistic including spectral skewness, spectral kurtosis and spectral cumulants are proposed.

为了准确、简洁地表达一维谱密度函数在切削颤振建立过程中的变化特征，论文首次建立了一维谱密度函数的Edgeworth渐近谱展开式，给出了详细的证明；并由此提出了"谱偏态系数"、"谱峰态系数"和"谱累积量函数"等新的谱统计量。

However, it is possible to declare the "product" element more compactly, like this

但是，可以更加简洁地声明"product"元素，就像这样

Heart sex is one of important elements that make modern market economy, can state it compactly for reasonable interest creed.

德性是构成现代市场经济的重要元素之一，可以把它简洁地表述为合理的利益主义。

Indeed the condemnation plus the added consequences may well be considered , compendiously , as constituting the punishment .

甚至这样的谴责加上此外的结果可能很好的被考虑到，简洁地讲，作为惩罚的构成。

By introducing the generatingfunction method,the integrability of FDIHS is proved,which is thesimplest way we know so far.

通过引入母函数方法，较简洁地证明了系统的可积性，包括守恒积分族的对合性与独立性，其中关于对合性的证明是迄今为止最为简洁的证明。

Based on this we one and for all give the unified definition of 24 kinds distinct limit of the simple function and in new way use intactly, succinctly, systematicly giving prove of set of propositions about the limit of the simple function.

将现有的邻域概念作了适当的扩充，在此基础上，一次性地给出了一元函数的24种不同极限的统一定义，并进而以新的方式更完整、更系统、更简洁地给出了有关一元函数极限的一系列命题的证明。

In order to obtain more exact analytical solution to study the output characteristics of double-clad fiber lasers,according to the continuous-wave rate equations of fiber lasers,using typical parameters of double-clad fiber lasers,the contribution of the re-emission effect arising from the interaction between the upper-level atoms and pump light was estimated.Taking into account the predominant part of the re-emission to improve the accuracy of the integration approximated rate equations,the integration of the product of the loss and radiation should be found and explicit analytical expressions for the output of the DCFLs and gradient efficiency of the pump radiation,were deduced,and certain issues of concern were discussed.

为了求得用于研究双包层光纤激光器输出特性的更为精确的解析解，根据稳态速率方程组，针对典型的双包层光纤激光器参量，在估计了上能级粒子再发射项和抽运光产生的影响后，采用保留再发射贡献主导部分的办法以提高可积分近似方程的精确度，明确地提出了要获得光纤激光器输出功率的解析表达式的关键在于求出损耗系数与光场乘积的积分值，简洁地求得了输出功率和抽运光斜线效率的显函数解析表达式，并对其相关问题进行了讨论，以915nm，920nm和975nm的抽运光为例，当输出激光为1090nm时，得出975nm抽运光产生的斜率效率最高并可高达约87%。

This quiet man, who corresponded succinctly in many languages, could so nearlyhave become one of the 20th century's great individuals. When he shot abullet, with steady-handed precision, through his heart in his Paris apartmenton March 12th 1932, it felt to many as if a light had gone out across a

这个安静的男人，可以简洁地使用多国语言通信，一度曾几乎成为了20世纪最伟大的个人之一。1932年3月12日，他在巴黎的公寓里平静地举起手枪，精准的将子弹射进了自己的心脏，许多人感到失去了一束可以穿透笼罩着战争阴云的欧洲和陷入衰退时代的美洲的光明。

This quiet man, who corresponded succinctly in many languages, could so nearly have become one of the 20th century's great individuals. When he shot a bullet, with steady-handed precision, through his heart in his Paris apartment on March 12th 1932, it felt to many as if a light had gone out across a darkening inter-war Europe and Depression-era America.

这个安静的男人，可以简洁地使用多国语言通信，一度曾几乎成为了20世纪最伟大的个人之一。1932年3月12日，他在巴黎的公寓里平静地举起手枪，精准的将子弹射进了自己的心脏，许多人感到失去了一束可以穿透笼罩着战争阴云的欧洲和陷入衰退时代的美洲的光明。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐