光滑映射

研究分歧问题主要是如何将光滑映射奇点理论中的相关概念和技巧适当地引到分歧问题中来。

The study of bifurcation problems is mainly about how to imply the related concepts and techniques in singularity theory of smooth map germs to bifurcation problems .

（E0，E）型渐近光滑映射和耗散波方程

( E_0 , E ) Asymptotically Smooth Maps And Dissipative Wave Equations

本文刻划了光滑映射芽是Rk&有限决定的特征，并且对决定性阶数进行了估计。

In this paper finitely R_k-determined map-germs are characterized and estimates of order of determinacy are given .

光滑映射和等价的概念。

Smooth maps and the notion of equivalence .

它提供了一个从低维隐变量空间到高维观测数据空间的光滑映射。

It provides a smooth mapping from the latent space to the data space .

本文给出一个光滑映射芽关于■群有限决定的一个充分条件。

A sufficient condition whether a smooth mapping germ is finitely determined to - group is given .

第二.分歧问题及其开折的稳定性.对光滑映射芽的各种稳定性的讨论是奇点理论的一个重要部分。

The discussion of various stabilities of smooth map-germs is an important part of the study of singularity theory .

这种光滑映射就可以使得在隐空间中相距较近的样本点，经过映射到观测数据空间后，依然相距较近。

This specifies that points which are close in latent space will be still mapped as close in data space .

此方法建立在光滑映射的基础上，不依赖于小参数，从而特别适合于求解不具有小参数的强非线性问题。

The proposed method is based on smooth mapping and homotopy in topology and is independent upon small or large parameters at all , so that it can be applied to solve strongly nonlinear problems not containing any small or large parameters .

图像形变中基于MLS的光滑纹理映射技术

Smooth Texture Mapping Based on Moving Least Squares for Image Deformation

并将该混沌控制方法推广应用到二维光滑混沌映射系统中，成功实现了该混沌系统中的不稳定周期2轨道的镇定。

A Class of Exact Chaos Applicable to Spread-Spectrum Com-munication A two-dimensional smooth mapping system can be controlled from chaos to a stable period-2 orbit by the nonlinear feedback chaos control method .

应用代数拓扑学中周期变换的理论，将球面到欧氏空间的映射推广到从球面到光滑流形映射的情形，从而得到了Brosuk－Ulam型定理。

This paper makes an extension of the map from a sphere into an euclidean space to the mapof a sphere into a smooth manifold by means of the cyclic transformation theory of algebraic topology , gaining Borsuk-Ulam type of theorem .

当谈到时尚和消费品的形象时，你是否希望杂志光滑的页面映射出一个略为改进的版本？

When it comes to fashion and luxury goods images , do you want the glossy pages to mirror a slightly improved version of you ?

图象光滑性与分形映射压缩算法

Smoothness of Image and Fractal Mapping Compression Algorithm

非光滑动力系统胞映射计算方法

Cell-mapping computation method for non-smooth dynamical systems