查询词典 submanifold

Firstly, we give out a reduction way for quasilinear generalized system A〓=G , and the concept of the index κ geometrically nonsingularity, where A is singular and of smooth kernal space. By using the canonical projection mappings onto the space of ker A , a class singular pointimpasse point only owned by nonlinear generalized system is also studied and we also prove that the regular index κ quasilinear generaized system A〓=G defined on the region W is equivalent with an ODEs 〓 defined on a submanifold W〓 of the W, so we reduce the problem of quasilinear generalized system to the problem of an ODEs.

首先利用投影函数，给出了拟线性广义系统A〓=G的一种归约方法，提出了指数κ几何非奇异的概念，同时对广义系统特有的一类奇点-寂点进行了研究，证明了正则指数κ的拟线性问题A〓=G等价于在其定义域W中某一个子流形W〓上的正常微分方程〓，从而将拟线性广义系统的问题归结为常微分方程问题。

The paper have two parts, one is numerical solution of partial di?erential equation,another is submanifold.

本文分两部分，第一部分是偏微分方程数值解内容，第二部分是子流形几何内容。

In recovering a low dimensional parametrization of data lying on a low dimensional submanifold in high dimensional space, we need to understand and grasp the structure of image of the Laplacian Eigenmap.

在揭示建立在高维数空间中的一个低维子流形中的一个低维数的确定参数时，我们需要去了解并领会拉普拉斯特征映射的像的构造。

Then we discusses the Poisson reduction of the submanifold in the product Poisson manifold T*M×g*.

其次，考察在特定的乘积Poisson流形T*M×g*中的子流形的Poisson约化。

In the present paper,a sharp inequality is obtained between the Ricci curvature and the squared mean curvature of semi-invariant submanifold s in cosymplectic space forms,and some conditions are reached to make the equality hold.

对余辛流形的半不变子流形进行研究，利用曲率的分量表示之间的简单的代数关系，得到了这类子流形的R icc i曲率与平均曲率平方之间的一个不等式，并讨论了等式成立的充分必要条件

Isomap is a nonlinear dimensionality reduction method proposed and based on the theory of manifold. It not only can reveal the meaningful low-dimensional structure hidden in the high-dimensional observation data, but can recover the underlying parameter of data lying on a low-dimensional submanifold.

Isomap是提出的一种有效的基于流形理论的非线性降维方法，它不仅能够揭示高维观察数据的内在结构，还能够发现潜在的低维参教空间。

This method assumes a global embedding function in low dimensional space, then incorporates the relative compactness information of the data distributions on the global geometry to reconstruct sample data. Finally, the global low dimensional submanifold is obtained by minimizing the cost function.

该方法首先假定目标空间的整体映射函数，然后结合数据的全局几何结构分布信息进行数据重构，最后通过最小化准则函数来得到嵌入高维空间的低维子流形。

The highlight of the DCL algorithm is that we have studies hidden variables structure estimation with own parameters, which form more general case of curve data submanifold. As the application of information geometry learning algorithm for supervised neural networks, we have given detailed algorithm implementment of DCL algorithm for mixture of experts, and stochastic multilayer percetron.

其中我们所作重要的工作是把结果推广到隐变量本身带参数结构的弯曲数据子流形的情形，采用了由场变换所形成的数据子流形估计中，辅助量本身是一个带参数的量，根据对偶梯度流公式，给出了学习算法实现的具体形式。

T not only can reveal the meaningful low-dimensional structure hidden in the high-dimensional observation data, but can recover the underlying parameter of data lying on a low-dimensional submanifold.

somap的理论基础是假设在高维数据空间和低维参数空间存在等距映射，但并没有进行证明。

Qianlong period, the value of glass painting is even higher, because at this time not only because of oil as early as age and have a higher value, but also because it works fine oil painting portrait , wholesale oil painting with the most submanifold, and added color or silver color, the most to a few well-known painter of Guangdong Huang Dasheng, his rich and oil painting than the old Italian.

乾隆时期的玻璃油画价值还要高一些，因为此时的油画不仅是因为年代早而拥有较高价值，更因为其画工精细，油画的大部分都带地子，而且加金彩或者银彩，最有名的画家要数广东的黄达生，他的油彩较浓艳而有旧意。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。