微分同胚

In chapter 3,we prove that a complete noncompact n-dimensional Riemannian manifold M whose Ricci curvature Ric_M ≥(n- 1) has finite topological type or diffeomorphic to R~n if its Excess function has some upper bound at a point.

第三章，我们证明了对于Ricci曲率Ric_M≥-(n-1)的完备非紧n维Riemann流形M，若它的共轭半径有正的下界且共轭半径的某个函数为M在某一点的Excess的上界时，它就有有限拓扑型或者微分同胚于n维欧几里德空间。

In this thesis, we mainly study the homeomorphism flow properties of solutions for SDEs with jumps and backward stochastic differential equations, and also give some applications.

本文我们将上述结果作了以下两方面的推广，一方面是带跳随机微分方程解的同胚流及其应用，另一方面是倒向随机微分方程解的同胚流及其应用。

It was proved that under Lipschitz coefficients, the solutions of SDEs driven by Brownian motion or a continuous semimartingale form a stochastic homeomorphism flow.

在方程系数Lipschitz连续的条件下，由Brown运动或连续半鞅驱动的随机微分方程的解形成一随机同胚流。

In this paper, we study the limit inverse shadowing property andthe strong inverse shadowing property of a diffeo...

本文主要研究了微分同胚f在双曲不变集上的极限反跟踪性和强反跟踪性。

Finally,by applying a ran-dom version of Kifer's large deviation theorem and the volume lemma,we prove thelevel-1 LDT for randomly perturbed Axiom A attractors of diffeomorphisms withrespect to the Lebesgue measure.

最后，利用Kifer的大偏差定理的随机版本和体积引理，我们证明了微分同胚的公理A吸引子的随机扰动系统相对Lebesgue测度的level-1 LDT。

We prove that an n-dimensional complete open Riemannian manifold M with Ricci curvature Ric_M ≥ 0 is diffeomorphic to an Euclidean n-space if M satisfies some volume growth conditions.

第二章，我们研究了Ricci益率有一定下界的完备非紧n维Riemann流形，证明了这样的流形在满足一定体积增长条件下微分同胚于n维欧几里德空间。

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。

The transformed systems need not to have special forms and there are no restrictions on the types of nonlinearity contained in systems. The only requirement is that the two matrice defined in the paper should be a controllable pair at every point.

它不要求线性化微分同胚变换后系统具有特定形式，对系统所含非线性也不作限制，它只要求变换后系统的两个特定函数矩阵在点点均为能控对。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。