数

The domain derivative of the Navier-Stokes equations is given in the same manner as the Stokes equatons' domain derivative by reducing to homogeneous equations and proving continuous character and existence of Frechet derivative .

同样利用对非齐次方程的齐次化、证明目标函数对区域的连续性和其导数的存在性，同时给出了定常Navier-Stokes方程的区域导数完整的理论证明。

This study focuses on the chain for the multi-speed bicycle. Design space for the freewheel on bicycle is limited by frame, riding posture, etc. However, the number of gear ratios in this design space increased with added more sprockets are the trend on the bicycles.

本论文主要研究对象为自行车上传动系统中的链条元件，由於自行车飞轮受到车架、骑乘姿势所形成的空间限制，必须在有限空间内增加飞轮片数增加齿数比，达到变速换档的舒适性。

Unstructured data such as text, graphic images, still video clips , full motion video , and sound waveforms tend to be large -- a typical employee record may be a few hundred bytes, but even small amounts of multimedia data can be thousands of times larger.

从数据量上看，文本，图像，视频剪辑，电影，音频波形等非结构化数据所需的存储空间十分庞大。一条典型的雇员记录可能只需数百字节，而一条普通的多媒体数据就可能数千倍于前者。

Hundreds of people around him shouted the name of God, and thousands outside caught the strain and raised the cry with full-throated voices.

数百人围着他，叫喊着神的名字，外面的数千人提起宏亮的声音叫喊起来。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

In this paper,we have presented an autonomous guidance strategy based on optimal states feedback technology.First,by utilizing classical Gauss motion equations,we derived the three separate control laws,which could maximize the time rate of change of a desired orbital element.

首先利用传统Gauss型运动方程，推导出三个轨道根数增大最快的独立控制律；然后根据当前根数与目标值的偏差量对独立控制律进行加权组合；最后为高效可靠地获得最优制导律，采用一种遗传算法和逐次二次规划相结合的混合方法对权重进行了优化。

First, by utilizing classical Gauss motion equations, we derived the three separate control laws, which could maximize the time rate of change of a desired orbital element. Then, the separate control laws were blended based on the deficit between current and target value of orbital state. Finally, to obtain the optimal guidance law effectively and reliably, a hybrid method combining genetic algorithm with sequential quadratic programming was used to optimize the weight values.

首先利用传统Gauss型运动方程，推导出三个轨道根数增大最快的独立控制律；然后根据当前根数与目标值的偏差量对独立控制律进行加权组合；最后为高效可靠地获得最优制导律，采用一种遗传算法和逐次二次规划相结合的混合方法对权重进行了优化。

We demonstrated the effect of the gelsemium total alkaloids of on blood and immune function of three different doses (0.15mg/kg,0.30mg/kg,1.5mg/kg) on mice and dieted with three GEB powers contents(1.5%,3%,6%) on chicken . The results showed as follow:1.The gelsemium total alkaloids of 0.15mg/kg,0.30mg/kg doses increased RBQHB, percentage of ANAE+ lymphocytes, phagocyty of peritoneal macrophage of mice.

本研究探讨了不同剂量(0.15mg／kg、0.30mg／kg、1.5mg／kg)的钩吻总碱稀释液对小鼠的血液学与免疫功能的影响，以及不同日粮添加水平(1.5％、3％、6％)的钩吻干粉对肉鸡血液学与免疫功能的影响，结果表明： 1、灌胃0.15mg／kg、0.30mg／kg剂量的钩吻液，能够提高小鼠红细胞数、血红蛋白含量、外周血ANAE~+淋巴细胞数、腹腔巨噬细胞吞噬指数及吞噬百分率。

The derivatives of the nonsmooth equations are computed to make the generalized derivative matrix nonsingular. Then the nonsmmoth damped Newton method is used to solve them.Analytic solutions of the KdV equation with variable coefficients: Shallow water wave problems belong to problems of free surface wave, and can be molded by the nonsmooth equations model given above in principle.

在前面建立的非光滑方程组数学模型和固定网格法基础上，利用广义导数的概念给出了求解渗流自由面的一种新方法-----非光滑阻尼牛顿法，该法是对非光滑方程组求导，适当的处理广义导数矩阵使其非奇异，利用非光滑牛顿法求解。

Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average operator.

定义了三角和区间直觉模糊集的一些运算法则，给出了直觉模糊集两个改进算子，即三角模糊数加权算术平均算子和区间直觉模糊数加权几何平均算子。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。