共查询到19条相似文献,搜索用时 62 毫秒
1.
单位圆内亚纯函数的充满圆 总被引:6,自引:0,他引:6
张庆德 《数学年刊A辑(中文版)》1999,(4)
本文推广了Ahlfors不等式,给出了亚纯函数的充满圆的一个几何特征,从而证明了单位圆内亚纯函数的充满圆序列的存在性.此外还举例说明了这些结果就充满圆的指数而言是最好的. 相似文献
2.
张洪申 《数学物理学报(A辑)》2006,26(3):337-342
单位圆内充满圆序列是一个复杂的问题,该文改进了现有一些证法,使单位圆内充满圆证法类似于平面上充满圆证法.同时得到单位圆内K-拟亚纯映射涉及重值的充满圆序列及相应的奇异半径 相似文献
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圆内亚纯函数充满圆及其应用 总被引:9,自引:0,他引:9
<正> 复平面内的充满圆序列在值分布论中有许多重要应用.对圆内亚纯函数的充满圆序列却比较复杂,相当困难.虽有人研究但总是不理想,不便应用.本文首先定义了圆内的充满圆序列,并证明 Borel 点附近存在充满圆序列,从而得到有穷正级圆内亚纯函数存在充满圆序列.最后作为应用证明了对应于 Hayman 不等式的奇异点存在. 相似文献
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应用覆盖曲面的几何方法,对于单位圆内有限正级的K-拟亚纯映射在其Borel半径上的性质进行了研究,用比较简单的方法证明了单位圆内有限正级K-拟亚纯映射在其Borel半径上一定存在充满圆序列,推广了Rauch A的结果. 相似文献
7.
代数体函数的充满圆 总被引:3,自引:0,他引:3
孙道椿 《数学年刊A辑(中文版)》1995,(2)
代数体函数是否存在充满圆序列?是个一直未解决的基本问题.木文证明了有限正级K值代数体函数,必定存在充满圆序列.从而关于亚纯函数的一些结论.有可能推广到代数体函数. 相似文献
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对单位圆上关于有限正Borel测度的正交多项式导数的渐近性质的研究在七十年代已有所结果和突破,如熟知的Szegoe理论等。然而对其微分性质的分析和讨论并不算多,即使如此,也只是限于考虑单位圆上正交多项式的某些特殊类型^[4]。本文证明单位圆上正交多项式序列的导数仍然是单位圆上正交多项式序列,并给出它们与相关微分方程之间的一些关系。 相似文献
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研究了单位圆内具有有限个分支点的代数体函数,并用覆盖曲面的几何方定义了他们的级和Borel半径,得到了在单位圆内大于1的有穷级代数体函数必存在充满圆及Borel半径. 相似文献
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It is shown that every equi-affine invariant and upper semicontinuous valuation on the space of convex discs is a linear combination
of the Euler characteristic, area, and affine length. Asymptotic formulae for approximation of convex discs by polygons are
derived, extending results of L. Fejes Tóth from smooth convex discs to general convex discs. 相似文献
12.
A non-linear FEM model of brake discs of high-speed trains with thermal-mechanical coupling has been established in ANSYS. The simulation and analysis of 3-D transient temperature field and stress field of brake discs have been carried out for the braking process. According to typical imperfections of brake discs, some imperfection models of brake discs have been developed and the thermal stresses of different models are obtained through simulation and analysis. By comparing results of different models, the influence of imperfection parameters, including the position, depth and size, is resulted for the thermal resistance of brake discs. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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Wegner gave a geometric characterization of all so-called Groemer packing of n ≥ 2 unit discs in E 2 that are densest packings of n unit discs with respect to the convex hull of the discs. In this paper we provide a number
theoretic characterization of all n satisfying that such a "Wegner packing" of n unit discs exists, and show that the proportion
of these n is 23/24 among all natural numbers. 相似文献
14.
Journal of Nonlinear Science - We consider low-energy configurations for the Heitmann–Radin sticky discs functional, in the limit of diverging number of discs. More precisely, we renormalize... 相似文献
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We prove analogs of Thom’s transversality theorem and Whitney’s theorem on immersions for pseudo-holomorphic discs. We also
prove that pseudoholomorphic discs form a Banach manifold. 相似文献
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It is well-known that Teichmüller discs that pass through “integer points” of the moduli space of abelian differentials are
very special: they are closed complex geodesics. However, the structure of these special Teichmüller discs is mostly unexplored:
their number, genus, area, cusps, etc.
We prove that in genus two all translation surfaces inH(2) tiled by a prime numbern>3 of squares fall into exactly two Teichmüller discs, only one of them with elliptic points, and that the genus of these
discs has a cubic growth rate inn. 相似文献
17.
David Rappaport 《Computational Geometry》2003,25(3):257-265
We show that the visibility graph of a set of disjoint congruent discs in
is Hamiltonian, as long as the discs are not all supported by the same line. The proof is constructive, and leads to efficient algorithms for obtaining a Hamilton circuit. 相似文献
18.
Masaharu Tanemura 《Annals of the Institute of Statistical Mathematics》1979,31(1):351-365
Summary A computational algorithm for random complete packing by discs is proposed. Monte Carlo simulations using this algorithm give
the value 0.5473 for random packing density of discs. It greatly improves the Solomon's result, 04756.
The Institute of Statistical Mathematics 相似文献
19.
We study pseudoholomorphic discs with boundaries attached to a real hypersurface E in an almost complex manifold. We give sufficient conditions for filling a one-sided neighborhood of E by the discs.
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