拟解析函数

The equilibrium geometries and disassociation energies also have been determined.

通过Murrell-Sorbie势能函数和最小二乘法拟合得到了解析势能函数。

In the present paper, we shall show that there are many elliptic invariant tori of the equation for a given analytic potential which is not necessary to be constant.

在这篇文章中，证明对于给定的解析势函数，不一定是常数，方程存在许多椭圆不变环面，与 Kuksin 和 Poschel 的文章不同的是，不变环面上承载的是高频的拟周期解。

A combinatorial identity is obtained:=:~z 2r扟32-rn-iJ As main result of this paper, in section two, the convolution梩ype identities emerge from our discussion about Lagrange formula whom in author 憇 view can be taken as the inherent characteristic of Lagrange formula but have been ignored fOi so long time.

第一章对拉格朗日反演在Riordan群理论中的应用进行了介绍，证明了一个组合等式：第二章通过对拉格朗日反演定理本身的分析，得到一个对任意的形式幂级数都适用的三个拟卷积公式，这些公式体现了任意能在零点解析的函数的内在性质。

By using them, we can discuss the theory of holomorphic functions on domains: the characterization of zeros sets of holomorphic functions on the boundary, the characterization of A infinity interpolation sets on the boundary, etc.

对于复椭球和广义复椭球，我们给出了其全纯支撑函数的估计，构造了边界上的拟距离，并用这些结果来研究域上的解析函数论：边界上解析函数零点集的刻划，A无穷插值集的刻划等。

However, asymmetric Laplace distribution has only 2 parameters and explicit distribution function form, it can fit the data of stock returns well. Consequently it greatly facilitates the calculation of optimal portfolios and the management of financial risk.

非对称拉普拉斯分布有明确的解析表达分布函数，只含有2个参数，能够较好拟合股票收益率分布的尖峰厚尾偏倚特性，给进一步的研究证券投资组合和金融风险管理带来了很大的便利。

Firstly, we test that the error data are not normal distribution, and even the expectation is not zero. Then we analyze the possible type distribution of these error data. Finally, we use the stepwise method to fit the error data and obtain a function for some parameters of the SAIL model. As prior knowledge, the fitting function will be used to inverse these parameters ofthe SAIL model soon.

首先检验了误差数据不服从正态分布，甚至均值不为零；然后对误差数据可能服从的分布类型给予了解析，得到了指数分布和混合正态分布两种不同类型的可能分布；最后拟合了误差关于SAIL模型部分参数的函数表达式，以作为先验知识应用于反演之中。

We used different methods to calculate luminosity in order to assure its reliability. Structure function method is adopted to derive the radiatively corrected cross section whose accuracy is up to 1%. The corrections from vacuum polarization and effect of energy spread are also studied. The final analytical approximation formulaes of the observed cross sections are worked out. Different fitting methods are carried out to fit the resonances according to different requests.

模拟的分布图的仔细对比，并兼顾实验的要求，得到每种事例对应的选择条件，特别是在处理积分亮度时，更是采用了不同的方法，以保证亮度计算的可靠性；采用结构函数的方法推导出截面的辐射修正公式，精确度达到了1％的水平，研究了真空极化给拟合公式带来的修正，并考虑了束流能散的影响，计算出最终的观测截面的解析近似式；对于三个共振态的拟合，针对不同的要求，采用了不同的拟合方法；同时在M.C。

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