拟同胚

By applying the tools such as modulus of curves and rings, together with Rohde s theorem, it proves that a homeomorphism is a bi Lipschitz map if and only if it satisfies a logarithmically absolute value inequality of rings.

运用曲线族的模和环模等工具，结合 Rohde定理，证明同胚为双 Lipschitz映射的充要条件是：它适合环的对数绝对值不等式；还得到了同胚为拟共形映射的一个充分条件。

Secondly, for the boundary correspondence of affine stretch on hyperbolic regions, we prove that the above conclusion is also true. Finally, we pose a sufficient and necessary condition for the same conclusion.

最后利用退化的四边形序列，给出了拟对称同胚的极值拟共形延拓的最大伸缩商、四边形模之比的上确界及拟对称同胚的边界伸缩商三者相等的一个充要条件。

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。

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。

In this model, the monitored acoustic emission information is changed into prediction data based on the gray theory, and the Prediction data are trans-formed into an essential format of cusp catastrophic model via the least-square principle curve fitting and the differential coefficient homeomorphous change.

首先运用灰色理论对声发射监测数据进行处理，得到预测数据，运用最小二乘曲线拟合展开，再通过微分同胚变换，转换为尖点突变模型的基本形式，从而建立了灰色突变预测模型。

Firstly, data processing method based on gray theory is used to change acoustic emission information into prediction data. Then prediction data is transformed into essential format of cusp catastrophic model by the least squares principle curve fitting and differential coefficient homeomorphous change. Finally, the gray and catastrophic prediction model is put forward to forecast failure time of rock slope.

首先运用灰色理论对声发射监测数据进行处理，得到预测数据，运用最小二乘曲线拟合展开，再运用微分同胚变换，转换为尖点突变模型的基本形式，建立灰色突变预测预报模型，从而对崩塌的时间进行预报。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。