查询词典 Riemannian

The problem has wide applications to various disciplines such as computational complexity theory, organic chemistry etc., and is also closely related with the problem of how to construct cospectral Riemannian manifold in Riemannian geometry and the problem of 'Can one hear the shape of a drum?

该问题的研究在计算复杂性理论、有机化学等领域有着重要应用，并与Riemann几何里面如何构造同谱Riemann流形及物理学里面的'听鼓辨其形状'等问题密切相关。

We study the nonexistence of stable p-harmonic map from complete non-compact strong-parabolic Riemannian manifold to pinching Riemannian manifold.

文章讨论了从完备非紧强抛物黎曼流形到拼挤黎曼流形的稳定p 调和映照的不存在性。

Riemannian Space. The parameter space in blind source separation is Riemannian Space. Natural gradient has many better characters compared with normal gradient.

自适应盲分离算法中的系数空间是黎曼空间，本文将自然梯度下降法应用于Infomax算法可以改进算法的性能，有利于算法的数值稳定性和提高算法的收敛速度。

Besides,we study the topology of Riemannian manifolds with some curvature conditions via comparisonsl geometry methods,and we get some results towards the topological type and the finiteness of isomorphism classes of fundamental groups of some Riemannian manifolds.

另外，我们在比较几何的框架下研究了具特定曲率条件的Riemannian流形的拓扑，得到了有关有限拓扑型和基本群同构类的一些结果。

This paper proves the existence of utility function by using Riemannian geometry methods, which build a bridge between Riemannian geometry and economics.

运用黎曼几何的方法证明了效用函数的存在性，引进了广义的边际效用趋势概念，该定义揭示了以效用函数为度量与一般的欧氏度量的偏离，并证明了这个定义是内蕴的。

In this paper we turn the problem of sub-Riemannian geodesics into an optimal control problem, express the constraint to, and sub-Riemannian Hamiltonian H=1/2g^(-1)pl(subscript D, pl in detail.

该文从最优控制论的角度，将次黎曼刚地线问题转化为一个最优控制问题，将约束条件γ'∈D转化为，进而得到了次黎曼Hamiltonian H=1/2g^(-1)pl(下标 D， pl的具体形式。

The number of support, vectors is decreased by 28%. Then, the structure of the Riemannian geometry is introduced in the input space, and using the Riemannian geometric modifies the kernel function of the classifier and gets less improved support vectors at the second training.

在第一次训练后产生的支持向量的基础上，将黎曼几何结构引入到输入空间，利用黎曼几何结构将分类器中的核函数进行修改，在第二次训练中再次减少了支持向量数目。

Deeply study the relationship between the Riemannian metric and the adjoint operator Ad kk ?1 and present the objective map expressions.

对Riemannian流形中的度规与空间伴随算子的内在联系作了深入研究，并给出了具体的映射关系。

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。