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扩充的复平面上
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  extended complex plane
     On extended complex plane,the linear transforms have circumference-preserving characteristic,which is demonstrated on MATLAB software platform.
     在扩充的复平面上线性变换具有保圆周性 ,在MATLAB软件平台上对此进行了演示 .
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  相似匹配句对
     The Lower Order of Dirichlet Series on the Complex Plane
     面上Dirichlet级数的下级
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     Properties on inversion transformation on complex plane
     面上反演变换的性质
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     Error Formula of Generalized Rational Newton Interpolation on complex plane
     面上广义有理Newton插值的误差公式
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     Approximation of Meromorphic Function by Rational Interpo-lating Functions in the Complex Plane
     面上亚纯函数的有理函数插值逼近(英文)
短句来源
     Order of Approximation in the Mean by the Generalized Interpolating Polynomials on the Complex Plane
     面上广义插值多项式的均逼近阶
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  extended complex plane
Let $$\rho_\Omega$$ denote the density of the hyperbolic metric for a domain Ω in the extended complex plane $$\overline{\mathbb {C}}$$.
      
The algorithms and their theoretical foundation make use of circular arithmetic, an extension, based on the theory of Moebius transformations, of interval arithmetic from the real line to the extended complex plane.
      
Let C be the extended complex plane; G ? C a finite Jordan with 0 ∈ G; w= ?(z) the conformal mapping of G onto the disk normalized by .
      
Let Ω be a domain in the extended complex plane such that ∞∈Ω .
      
We give a new streamlined proof of a recent result by Totik concerning the local Holder 1/2 property of the Green function for the complement of a Cantor-type set taken with respect to the extended complex plane.
      
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This paper discussed the relations between domains of finite-connected in and the logarithmic derivative of functions,and deduced two new characteristics of domains of quasidisk type and the relations between domains of quasidisk type and its universal Teichimuller space.Finally, some estimations on the domain constants are given.

本文研究了扩充复平面上有限连通区域上函数的对数导数与单叶性之间的关系,并由此导出了平面拟园型区域的两个新的分析特征以及其与一致Teichimuller空间的联系。此外,对与对数导数相关的区域常数做了若干估计。

Suppose that G and are domains in-with ∞ included.Assume that f:G is mero-morphic with a pole of order m at ∞. Let E=and F= be compact sets.Under some con-ditions on f(see Theorem 1),two inequalities concerning cap E and cap F are given。 By using these inequalities several covering theorems are obtained;

设为扩充复平面上的区域,且含有∞点,又设为半纯函数,∞为它的m级极点,令,显然E,F为紧集,本文给出容量capE与capF比较的两个不等式,并利用这些不等式得到了几个有趣的掩蔽定理。

in analog circuits,there exists Mobius transformation between the deviation of any element parameter and the change in response at a port.This is helpful to fault analysis.In this paper,following the discussion of this transformation,maximal change in voltage and current of the fault#element in resistive networks is proved.Then the relationship between the change in response and the deviation of element parameter is fully described by a circlenet on the extended complex plane.Finally an algorithm for single-fault...

in analog circuits,there exists Mobius transformation between the deviation of any element parameter and the change in response at a port.This is helpful to fault analysis.In this paper,following the discussion of this transformation,maximal change in voltage and current of the fault#element in resistive networks is proved.Then the relationship between the change in response and the deviation of element parameter is fully described by a circlenet on the extended complex plane.Finally an algorithm for single-fault diagnosis is introduced as its application.

在模拟电路中,任何一个元件值偏差与一个端口电压或电流之间存在Mobius变换关系,对故障分析很有帮助。本文在讨论这一变换后,证明了纯阻网络偏差元件上的电流电压变化最大。再将端口响应变化与元件偏差值之间的关系在扩充复平面上直观地全面概括在一幅圆网之中。最后,作为应用,论及单差错的故障分析。

 
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