单位圆

The abscissa at the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system, the arc being of length x and measured counterclockwise from the point(1,0) if x is positive or clockwise if x is negative.

余弦以笛卡儿坐标系原点为圆心的单位圆的圆弦端点的横坐标，弧的长度为x，如果x为正，弧的长度则从（1，0）点按逆时针方向算起，若x为负，则按顺时针方向从（1，0）点算起

The abscissa at the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system,the arc being of length x and measured counter clockwise from the point(1,0)if x is positive or clockwise if x is negative.

余弦以笛卡儿坐标系原点为圆心的单位圆的圆弦端点的横坐标，弧的长度为x，如果x为正，弧的长度则从(1，0)点按逆时针方向算起，若x为负，则按顺时针方向从(1，0)点算起

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle...

基于Stroh公式和表面阻抗张量理论，提出了研究界面滑移波动态失稳问题的一种新的方法·该方法将表面阻抗张量概念推广到复波速域，并将摩擦接触界面上的边界条件以表面阻抗张量表示·最终将边值问题化归为求解一个复多项式在单位圆内的根·以弹性半空间与刚体平面相对稳态摩擦滑移为例进行了详细的分析，导出了一个4次复特征方程并讨论了方程在单位圆内解的特性，给出了滑移界面波失稳条件的显式解析表达式

In this chapter, we obtain the following conclusion: Let f=h+〓 be a univalent orientation-preserving harmonic mapping defined on the unit disk U such that f is convex in a direction and real on the real axis, and satisfies the normalization f (0)=0 and 〓, then f is typically real.

在这一章中，我们证明了如下事实：对于单位圆U上的单叶调和映照f=h+〓，如果它满足条件〓，且在其映照下单位圆的像域是一个方向凸的，则它必定是典型实照映射。

Corresponding to the results of largest type Borel directions on the whole complex plane obtained by Zeng Fan-fu and Sun Dao-chun in paper [1],we discuss the case of unit disc and prove that there exists at least one largest type Borel point of K-Quasiconformal Meromorphic mapping with the finite positive order in the unit disk.

相应于曾繁富、孙道椿在参考文献[1]中获得的全平面情形的最大型Borel方向结果，讨论了单位圆情形，证明了单位圆内有穷正级拟亚纯映射至少存在一个最大型Borel点，推广了亚纯函数情形的相应结论。

Adopting the conformal mapping or rotation axis etc complex methods which areoften used to treat with the hole or cavity problem,a two-dimensional cavity ofeither simply or multiply connected region is projected into the interior of acircle or an annulus.As well as the global coordinate system is turned into thelocal coordinate system.

采用处理孔口问题最常用的映射函数和移轴等复变函数方法，把复杂的单连通区域和某些复连通区域型二维孔洞转化为简单的单位圆内区域或圆环区域，把整体坐标转为局域曲线坐标，而，最终把问题简化归结为一组无穷代数方程组的求解问题。

In recent years, Feng Kang has advanced a more natural and direct redu-ction, i. e. the reduction via Green's formula and Green's function.

近年来冯康又提出一种更自然而直接的归化，即从Green公式及Green函数出发将微分方程边值问题化为边界上的含有广义函数意义下发散积分有限部分的奇异积分方程，这种归化在各种边界归化中占有特殊地位，被称为正则边界归化，本文将这一理论应用于重调和椭圆边值问题，研究了其正则归化的性质，并通过利用Green函数、Fourier分析及复变函数论方法等不同途径求出了在上半平面、单位圆内部、单位圆外部三种区域的Poisson积分公式及正则积分方程，其离散化可用于实际计算。

In this dissertation, we compute and visualize multiple solutions of the boundary valueproblem of the Henon equation on the disk of planewhereΩis a unit circle,?

中文摘要：本文讨论平面单位圆上Henon方程的齐次Dirichlet边界条件的边值问题的多解计算，这里Ω为单位圆，？

The problem of Polydisc is transformed into that of unit disk and an operator by H^2 Hardy space is defined in the unit disk.

将多圆柱上的问题转化到单位圆盘上，利用单位圆盘上的H^2 Hardy空间，定义出一个算子。

Themapping function sequences including circular cutouts and elliptical cutouts aregiven in this chapter.

然后为方便地满足圆柱壳大开孔的边界条件，通过复变函数方法中的用来求解多边形映射问题的Schwarz-Christoffel积分表达式，将圆柱壳展开面上的非圆非椭的开孔边界曲线保角映射成为单位圆，给出了在不同开孔率情况下的关于圆孔和椭圆孔的保角映射函数的具体形式。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。