长度测度

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 POT model, it used the technique of parameter estimator stability, making up for the limits of the currently popularly-used Mean Excess Function e, and the threshold quantitatively selected by Kurtosis Method has also been achieved, and solving the problem the illustration method couldn't be applied to.

特别是，在BMM模型中充分地考虑了子区间极值一般极限分布与极值序列极限分布之间的关系，测度了受子区间长度影响的极值VaR；在POT模型中运用参数估计量稳定性法弥补了目前普遍采用的样本平均超出量函数e法的不足，针对一些图解法无法适用的问题，实现了峰度法对阈值的定量选取，并对指数回归模型法、子样本自助法、序贯法等定量法进行了分析探讨。

The research results showed that the degree distribution of enterprises competition network obeyed to subsection exponent distribution, and had small average path length, large clustering coefficient and structure metric.

研究发现中国汽车零部件企业竞争网的度分布服从分段指数分布，且具有较小的平均路径长度、较大的群聚系数和结构测度值，表明其是既具有小世界性，又具有无标度性的随机网络。

Hack's law, which can be derived from the second and third Horton's models, is same to allometric relationships between area and population of urban systems, the latter is connected with Beckmann's models and thereby with central place theory.

然后证明基于中心地理论的Beckmann城镇等级—规模模型与 Horton水系构成第一、第二定律数理同构，关于城市人口—城区面积的异速生长关系模型与关于主河道长度—流域面积的几何测度关系模型以及 Horton水系构成的第二、第三定律数理同构

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。