解析函数

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数：带导数三次多项式，它能很好地表达反S形分布曲线，具有一系列解析特征：可从三个层次（纹理分形、结构分形和态势分形）上描述地理现象或过程；其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

For the radical function where p(z is a polynomial of degree N with multi-branch points, this paper obtains a general method to get the function value on the given branch of analytic function.

对于具有多个有限支点的根式函数（其中p是任意的N次多项式），得到了求某个特定单值解析分支上的函数值的一般方法。

Based on the analytical and numerical method, free vibration of the cantilever beam with rotating motion is analyzed.

分析转动悬臂梁的自由振动问题，通过综合运用解析法和数值方法解决悬臂梁振型函数过于复杂的问题。

In this paper, using the concept of the contact angle and considering the capillarity action, the method of small-time expansions is developed to solve accurately nonlinear wave due to the horizental of the plate towards the fluild with an acceleration.

采用对时间t作幂级数展开的方法，利用接触角的概念，并考虑了表面张力的作用，对垂直平板在静止的液体中突然起动所产生的非线性波进行了求解，得到了速度势函数、压强及自由面形状的解析表达式，并对一种特例计算了作用在平板上的动水压强。

Our research work concentrates on the severe communication circumstances, for example, spatially correlative and time-frequency selective fading channel, and focuses on the design of codec for space-time architecture and the utilizing of linear precoding technique especially on the multiuser scenario trying to improve the system performance to combate various fading.

论文首先基于已有空时相关MIMO信道模型，分析给出了联合空时互相关函数解析表达式，并推导给出了空时分组编码传输方案理论成对错误概率表达式。

Ranging from simple fixed-format reports to sophisticated analytics with complex embedded algorithms and domain expertise.

从简单的固定格式的报告到由复杂深入的运算法则和专门的函数定义域组成的深奥的解析。。。

This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.

本文根据粘弹性体的理论与复变函数理论给出了非圆形巷道的粘弹性解析解。

Analytical results on the configurational distribution of 2D 2-ball systems were also proposed.

我们还解析给出了在二维情况下2球系统单粒子位形空间的分布函数情况。

Paper has handled mathematics model, paper has finished real variation of complex conformal mapping function.

在模型数值处理中，完成了复变解析共形映射函数实变化的研究工作。

Its analytic solution is obtained by multiple conformal transformation s including elliptical functions,and the pressure and streamline distributions and the well flow rate are presented for the flow field.

将油藏工程中水平井网渗流作为复杂源汇边界矩形区域的流动，通过椭圆函数等多重保角变换求得其解析解，并得到渗流场的压力分布、流线分布及井产量。

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