查询词典 differentiable manifold of class c

This course should help students master definitions, basic peoperties and methods of differentiable and Riemannian manifolds, increase their ability from parts to a whole.

通过本课程的学习，希望学生能初步掌握微分流形的基本概念、方法和技巧，学习从局部到整体的数学技巧。

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形，同时，也按照这一理论框架，给出了高维二进径向小波的具体例子，具有下列性质：ψ是无穷次连续可微的；ψ是局部支撑的，支集为‖x‖≤1；ψ含有分式因子，因此对&奇异点&更为敏感；ψ是不可分的，不同于张量积形式的高维小波；ψ是各向同性的。

Chapter one: this chapter discuss mainly about the astringency of several deformed Newtons iterative methods and their application in solution of non-differentiable problems.

第一章：主要讨论了几种变形Newton迭代的收敛性问题，以及它们在求解不可导方程中的应用。

If you want to gain business card printing and membership card making product quality, the smoothness of the paper is ultra-differentiable, which in a business card printing and membership card-making process, the paper surface and the surface contact of blanket, influenced the ink transfer full, clear pictures and texts.

要想获得好的制卡和会员卡制作产品质量，纸张的平滑度是一个必要条件，它在制卡和会员卡制作过程中，纸张表面与着墨的橡皮布表面接触的程度，影响着油墨的转移是否全面，图文是否清晰。

According to the edge detection theory based on modulus maxima of wavelet transform, an infinitely differentiable wavelet with good antisymmetry was deduced to extract the edges of defects from X ray spot weld inspection images.

基于小波模极大值边缘检测原理，推导出一类具有良好反对称性的无限光滑小波并运用于点焊缺陷的边缘提取。实验表明，该方法能有效地提取缺陷边缘，并能获得较好的效果，从而为小波理论在工业 X射线无损检测中的应用作了初步探

According to the edge detection theory based on modulus maxima of wavelet transform, an infinitely differentiable wavelet with good antisymmetry was deduced to extract the edges of defects from X ray spot weld inspection images.

基于小波模极大值边缘检测原理，推导出一类具有良好反对称性的无限光滑小波并运用于点焊缺陷的边缘提取。

The yield criterions are approached in general forms in EPSAS, the parametric evaluational function is used to deal with the multi-goal non-differentiable problem in SOSATT.

对EPSAS系统中的屈服准则做了通用性处理；采用参变量评函数法解决了SOSATT系统中的多目标不可微问题。

According to the discussion of the last chapter, we make use of a class of Null Dirac structure on the product Poisson manifold T*M×g* to do the Poisson reduction.

为此，我们利用了T*M×g*上一类Null Dirac结构来做Poisson约化。

Secondly,for nonlinear vibratory systems,the relationship between a class of stationary geodesics of the Riemannian manifold and the nonlinear normal modes is found.

进而，将类似的对应关系推广应用到非线性振动系统中，得到了非线性模态与 Riemann 流形上的极值测地线之间的对应关系。

Invariant Manifold: An unstable periodic orbit in a Hamiltonian system (a general class of differential equations which includes the three body problem) have associated two families of orbits forming tubes connected to the periodic orbit.

不变流形：一个不稳定的周期轨道的哈密顿系统（一个微分方程一般类，其中包括三个体问题）有关联的两个形成连接管轨道周期轨道的家庭。

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼