解析函数

The number and distribution of the singular points of streamlines in the cross section of steady flow through a curved tube are discussed by using the method of topological structure analysis.

利用拓扑结构分析方法，分析了弯曲圆管内定常流在横截面上流线的奇点个数及分布规律，给出了二次流的漩涡数目由 2个变为 4个，流态结构发生分叉现象的理论判据·进而，利用Galerkin方法，得到了弯曲圆管内定常流的流函数和轴向速度的半解析表达式，给出了流态结构发生分叉现象的临界Dean数，所得结果与理论判则一

The ATF method is also applied to develop singular element in the V-notch analysis and an element with notch named ATF-VN is formulated.

采用解析试函数法构造了含切口单元ATF-VN。用此单元分析切口问题也非常有效。

Most composite schemes switch the compressive scheme and high resolution scheme with a switching function about the slope of the interface in order to overcome the above problem.

为了处里上述的问题，大部分混合离散法都是采用一个与介面斜率相关的转换函数，在高解析离散法和压缩式离散法之间做切换。

In using DGF method, the first thing is to obtain the proper form of certain area. But the DGFs obtained now are all in achiral medium. So people are eager to know DGFs in spectral domain and space domain of chiral medium.

用解析的方法求解电磁场的边值问题主要依靠建立在经典电磁场理论基础上的并矢格林函数方法，应用DGF方法首先要找出适用于相应区域中的DGF形式，而现有的DGF形式都是基于非旋波媒质情形。

Thus, we have studied the high-Tc superconducting quantum interference device system by stochastic theory, and obtained some significative result, especially the stationary distribution function of DC SQUID is obtained firstly in the accurate theory, and the expressions of all this systems characteristics functions are obtained.

为此，我们利用随机理论研究了高温超导量子干涉器件系统，取得了一点有意义的成果，特别是得到：DC SQUID系统的定态概率分布的精确解析表达式，进而得到该系统的所有特性函数。

The solution is proved that it can be written as the sum of limited polynomial series.

通过所做的非线性函数变换，得出了考虑雷暴活动的全球电模式的近地稳态解析解，并证明其能展开为有限多项式级数之和。

What's more, this solution technique is available to obtain the potential subharmonic resonance and it overcame difficulties of traditional analytic Harmonic Balance Method based on the describing functions in resolving superharmonic and subharmonic response.

克服了传统的解析谐波平衡法基于描述函数进行而难以求解一般周期响应和次谐波响应的缺点。

When the Hamiltonian system is introduced into the research of dynamic buckling in cylindrical shells, the problem uses dual variables in Symplectic space instead of variables in traditional Euclidean space. The symplectic eigenfunction expansion method gives out an exact solution space. So many problems are solved, which can not find the solution in traditional methods.

将哈密顿体系引入结构的动态屈曲研究中，其意义在于将结构的动态屈曲研究从传统的欧几里得几何空间进入到由原变量和对偶变量组成的辛几何空间之中，从而使辛本征函数展开的直接解析法得以实施，这样就可以求解许多以往半逆凑合法无法求解的问题，并且所得到的解空间是完备的。

According to the simulation theory between Structural Mechanics and Optimal Control Theory, the symplectic elastics is built after the symplectic space with the duality variables is introduced into the elastics.

根据结构力学与最优控制理论的模拟理论，将由原变量和其对偶变量组成的辛空间引入到弹性力学，从而使分离变量及辛本征函数展开的直接解析解法得以实施，形成了弹性力学求解辛体系。

The last part of this paper treated the results with the assistance of spline function and Nth-degree harmonics cam approximate. Thus, the new function of tappet, speed and accelerated speed was gained and the whole designing process was completed.

文章的最后部分分别用样条函数方法和N次谐波凸轮逼近方法对计算结果进行处理，得出新的从动件升程、速度和加速度的解析式，从而完成整个设计过程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失