查询词典 Riemannian

This paper first discusses the nature of the kernel function,and then based on Riemannian geometry dependent on the data structure and method,an improved modifying kernel function is proposed,the kernel function is a simple and less calculation method,which conformal factor and support vector irrelevant,compared with previous studies overcomes the impact of support vector's number and distribution.

首先讨论核函数的本质，并且基于黎曼几何结构和数据依赖的方法，提出了一种改进的修正核函数，改进后的核函数形式简单，计算量较低，其中保形因子与支持向量无关，较之于以前的研究克服了支持向量的数目和分布的影响。

In chapter 3, for sub-Riemannian manifolds we introduce the concept of nonholonomic connection and Shouten tensor.

第二章我们介绍了黎曼流形中的一些必要的基本知识和其上的变换论的一些主要结论。

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

The author used this intrinsic connection to give the notion of horizontal mean curvatures of hypersurfaces in sub-Riemannian manifolds.

作者应用这个内在的联络给出了超曲面的水平平均曲率的几何定义。

Gm,np,q-systems and integrable immersions of pseduo-Riemannian space forms

中文题名 Gm，np，q系统与到伪黎曼空间形式的可积浸入

In Chapters3and4, we study the relation between the G〓-systems and integrable immersions of pseduo-Riemannian space forms, where G〓=O /O ×O .

在第三、四章中，利用G〓系统，讨论了与之相关的伪黎曼空间形式中的可积性浸入，其中G〓=O/O×O。

The problem of sub-Riemannian geodesics is a Lagrange problem with constraint. How to describe the constraint condition "γ'∈ D, a. e." is a difficult problem.

次黎曼测地线问题是变分学中的一个有约束的Lagrange问题，但在变分的过程中有个难点―如何推出约束条件&γ'∈D，在上几乎处处成立&的解析式。

It included topics such as Lebesgue integration , matrix theory , numerical analysis , Riemannian geometry , of which I knew nothing...

与此同时，在纯数学的日常应用Cramer的规则来解决偏微分方程导致列入标准的线性代数课程的大学。

Later, Riemann generalized Gauss's theory on surfaces to higher dimensional spaces (called "manifolds") and established Riemannian geometry which constitutes the foundation of Einstein's General Relativity theory.

Riemann将Gauss的理论推广到高维空间而创立了Riemann几何并为Einstein的广义相对论奠定了基础。

It is embodied in the three research programs of modern physics:(1) According to the program of geometrization of physics, the essence of the Curved Space in gravitational field needs to be explicated by Riemannian geometry, differential geometry, tensor analysis;(2)According to the program of quantum field theory, the generation and annihilation operator can represen...

它分别体现在现代物理学的三大研究纲领中：(1)根据物理学的几何化纲领，引力场弯曲空间的奥秘需要通过黎曼几何、微分几何与张量分析来解读；(2)根据量子场论纲领，场理论的&产生和湮灭&算符，能方便而精确地表征和重构相关的微观作用机制；&场的本体论&和&生成辩证法&同时得到体现。

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。