1) Co-Dominant maping
共引致映照
2) conformal mapping
共形映照
1.
Identifying the Bloch sphere representation of qubit with the extended complex plane by means of stereographic projection and considering the gate operations of single qubit,we obtain equivalance relation between unitary operations and one special kind of conformal mappings.
考虑一位量子比特的门操作,将幺正变换与复平面上一类特殊的共形映照相联系。
2.
It is proved that the inverse mapping Z = f-1(W) is also harmonic if and only if f is any one of the following three kinds of fUnctions: (i) one-to-one conformal mapping; (ii) affine transformation; (iii) function of the form where A, B, α and βare constants with the later two subject to the condition R(az+β) > 0, z ∈ D.
设是在一个单连通区域上的单叶调和映照，我们证明了反函数ｚ＝ｆ－１（）也是调和映照的充要条件是ｆ为下面三类函数之一：（ｉ）单叶共形映照；（ｉｉ）仿射交换映照；（ｉｉｉ）具有形式ｆ（ｚ）＝Ａ［ａｚ＋β＋ｌｏｇ（１－ｅ－ａｚ－β）－ｌｏｇ（１－ｅ－ａｚ－β）］＋Ｂ的调和映照，其中Ａ，Ｂ，α和β是常数且满足条件Ｒ（ａｚ＋β）＞０，Ｚ∈Ｄ。
3) uniformly convex mappingsL
一致凸映照
4) quasiconformal mappings
拟共形映照
1.
In this paper, we have studied the distortion properties for N-dimensional K-quasiconformal mappings and shown that the distortion in the neighborhood of the boundary points can be controled by the distortion in the boundary points by using quasihyperbolic metric.
本文研究了N维K-拟共形映照的偏差性质,利用拟双曲度量得到了区域边界上任意一点附近的偏差可用该点邻域上偏差来控制,该结果将F。
2.
Some developing procedures of complex analysis are introduced, including the proof of certain important conjectures and their methods with respect to the theory of univalent functions, quasiconformal mappings and Teichm黮ler space, also some open problems are listed.
介绍复变函数几何理论的一些发展进程,围绕单叶函数论,拟共形映照理论和 Teichmüller空间理论论述了某些重要猜想的解决,方法以及遗留未决的问题的新进展。
3.
In this paper, we proved that the two conditions of linearly locally connectivity are invariant respectively under quasiconformal mappings which fixed the infinity and pointed out the condition-of fixed the infinity is essential by giving an example.
本文证明了Ｒｎ中线性局部连通集定义中的两个性质分别在保持无穷远点不变的拟共形映照下是不变的，并且指出保持无穷远点不变的条件是必不可少的。
5) quasiconformal mapping
拟共形映照
1.
In this paper,we have studied the modulus and quasiconformal mappings,obtained several conditions for that a homeomorphism is a quasiconformal mapping.
本文研究了模和拟共形映照，得到了一个同胚为拟共形映照的若干条件。
2.
Two-dimensional hyperbolic area distortion under a class of quasiconformal mappings in the unit disk is estimated.
进一步研究拟共形映照f(z)=ρ(r,θ)eiφ(θ),z=reiθ,0
3.
In this paper,we proved an equation on the boundary dilatation and infinites- imally boundary dilatation of quasiconformal mappings:h([μ])=inf_(μ1∈[μ])b([μ1]B)and gave a corollary on the space T_0.
本文给出了拟共形映照边界伸缩商与无限小边界伸缩商的一个等式h([μ])=inf_(μ1∈[μ])b([μ1]B)；并给出了一个关于T_0空间的推论。
补充资料：引致
1.引荐罗致;使之来。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条