查询词典 extremal element

The interest is in extremal functions: those making the functional attain a maximum or minimum value.

变分法 最终寻求的是极值函数：它们使得泛函取得极大或极小值。

We generalize the concept of the set of variability defined in the unit diskby K.Strebel to general Riemann surfaces and prove that the set of variablity withrespect to the modulo homotopic class of a quasiconformal mapping between twoRiemann surfaces is a compact and connected subset.Consequently the num-ber of the extremal mappings in the modulo homotopic class of a quasiconformalmapping between two general Riemann surfaces is either one or infinity.

Strebel的定义在单位圆上的可变性集合的概念推广到一般Riemann曲面上去，并且证明了Riemann曲面之间的拟共形映射的模边同伦类所确定的可变性集合是一个连通的紧子集，从而得出一般Riemann曲面之间拟共形映射的模边同伦类中的极值映射要么唯一，要么有无穷多个。

By using the Lie group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the necessary conditions and the structure equations of extremal trajectories are proposed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

The magnetic field analysis can be carried out with only the extremal magnetic hysteresis loop of the material without the distributed function established through experimental statistics in the traditional Preisach model.

该方法只需要利用永磁材料的极限磁滞回线即可完成分析计算，避免了采用大量实验统计方法确定传统Preisach磁滞模型的分布函数。

The magnetic field analysis can be carried out with oniy the extremal magnetic hysteresis loop of the material without the distributed function established through experimental statistics in the traditional Preisach model.

该方法只需要利用永磁材料的极限磁滞回线即可完成分析计算，避免了采用大量实验统计方法确定传统Preisach磁滞模型的分布函数。

By using the Li e group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the nec essary conditions and the structure equations of extremal trajectories are propo sed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

A key problem is: is it true that the supremum of the ratios of the moduli of quadrilaterals equals to the extremal maximal dilatation?In this chapter, firstly, for a class of quasisymmetric homeomorphisms with substantial boundary points, we apply a result of Chen Jixiu etc.

在第二章中，我们首先利用了文[16]的结果，研究了单位圆周上一类具有本质边界点的拟对称同胚，证明了它的极值拟共形延拓的最大伸缩商等于四边形模之比的上确界，改进了文[128]的有关结果。

Response intensity ; statistic characteristics ; engineering seismology ; extremal theory ; seismic risk analysis ; antiseismic parameter

影响烈度；统计特性；工程地震；极值理论；地震危险性分析；抗震设防参数

The existence and uniqueness of homogeneous elliptic polyharmonic cardinal spline interpolation are proved, the remainder formula and order of approximation in LP (1≤p≤∞)spaces are given, and the extremal problem of sobolev dass in L2 is considered.

获得Rd上齐次椭圆型Cardinal样条插值的存在唯一性，并获得Sobolev类上的函数在Lp（1≤p≤∞）尺度下的插值误差估计，以及Sobolev类在L2尺度下的一些极值问题的解；拓广了Laplace型的结果。

In this paper, we give some qualities of the set exponent of symmetric primitive digraphs, and characterize completely the extremal graphs of the κth upper generalized exponent for primitive simple graphs.

本文给出了对称本原图的集指数的一些性质，并对本原简单图的广义上指数的极图进行了完全刻划。

This was not understood at the time, and therefore went unaddressed, until ascension became so distorted that we chose to stop ascending and wait for a time when all records would be revealed.

这在当时没有被了解，因此进行着无改编，直到提升变得如此扭曲，我们选择去停止提升并等待所有记录能被揭示的那一天。

The attack＇s nuisance value is increased because mobile phone networks also send notifications of new voicemail by sms,so an attacked phone may stop advising of new voice messages too,it warned.

它警告：这种攻击的危害增长是因为移动电话网络也会通过短信发送新语音邮件的通知。所以受到攻击的手机可也以停止新的语音信息的提示。