查询词典 hausdorff metric

Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. And as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the Hausdorff metric.

本文证明在这种新的曲线流之下，闭凸曲线周长保持不变、所围区域的面积不断增大而曲率保持恒正，并且，随着时间的推移曲线变得越来越圆，最终当时间t趋向于无穷大时，曲线在Hausdorff度量意义下收敛到一个圆周。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

In Chapter One,we find the relationship between strong open set condition , Hausdorff dimension,the positivity of the Hausdorff measure and β space of graph-directed self-similar sets in complete metric spaces.

在第一章中，我们讨论了在度量空间中，图定向自相似集的强开集条件、Hausdorff维数，正的Hausdorff测度和β空间之间的关系。

This is why the periodicity of chaotic dynamical systems in Hausdorff metric spaces is non-degener-ated. It is very important to reveal the essence of chaos.

这一发现不仅清楚地解释了混沌动力系统Hausdorff周期律的非退化机理，而且对揭开混沌现象的本质至关重要。

Where d∞ is the uniformly Hausdorff metric.

这里 d∞是一致 Hausdorff 度量。

The paper developed similarity measure of real number vague sets based on score function to i-v Vague sets by using the mean of interval number and Hausdorff metric respectively, and compare the advantage and disadvantage of different methods.

分别利用区间的中值和Hausdorff测度将基于记分函数的实数型Vague集的相似度方法扩展到i-vVague集上，比较各种方法的优缺点。

This theorem which is a constructive bridge between the deterministic and indeterministicphenomena shows that the periodic behavior of chaotic dynamical systems in probability spaces is the origin of their periodicityin Hausdorff metric spaces.

该定理成功地跨越了确定性现象和随机现象间的鸿沟，揭示了Hausdorff周期律和概率周期律间的依存关系，它表明混沌动力系统的Hausdorff周期律是其概率周期律的一种表象。

In classifier 3, HAVNET is used as the first stage and a multilayer neural network as the second. HAVNET is a kind of binary pattern classifier, which employs Hausdorff distance as similarity metric. The network architecture is flexible enough to incorporate self-supervised learning, self-organization, and competitive learning as required by specific application.

HAVNET是以Hausdorff距离为相似性度量的二值模式分类器，其网络结构具有相当的灵活性，可以在训练过程中采用自监督、自组织和竞争学习，在网络中用独立的通道表示一个类别中的各子类别模式，该特性使HAVNET在实现模式识别任务时，具有较强的可行性。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

We generalize the concepts of two kinds of discrete distance of interval-valued fuzzy sets based on Hausdorff metric, and introduce a new distance of discrete interval-valued fuzzy sets based on Hausdorff metric and study some properties.

同时我们分别举例说明全空间IF~*(R，d~*和IF~*(R，d_p~*不是完备的，IF~*(R，d~*和IF~*(R，d_∞~*不是可分的。我们还对区间值模糊数序列在这三种距离意义下的收敛性之间的关系进行了讨论，得到一些结果。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。