几何的

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 ？

The fundamental problem of the geometry of matrices can be interpreted as a theorem on graph automorphism of the graph on a certain kind of matrices, and it also has practical application in the linear preserver problems which are the research area in matrix and operator theory.

矩阵几何的基本定理也可以叙述为图论中的图的自同构定理；并且它在矩阵和算子的保持问题中有很好的应用。

If the geometry of the intersection may lead to these turn,the designer can use channelization devices and additional signing and pavement marking.Wrong-way movements are, in general, precluded by the use of cloverleaf designs.

如果几何的交汇点，可能导致这些反过来，设计师可以使用信道设备的和额外的签署和路面marking.wrong双向流动，一般来说，排除使用立交桥的设计。

Based on the theory of large deformation and using the differential geometry.

基于有限变形原理，采用微分几何的方法推导了不考虑剪切、转动惯量和翘曲影响的曲梁的三维变形的应力应变关系。

Greek philosopher and mathematician who founded in southern Italy a school that emphasized the study of musical harmony and geometry. He proved the universal validity of the Pythagorean theorem and is considered the first true mathematician.

毕达哥拉斯古希腊哲学家和数学家，在意大利南部创立学派，强调对音乐和谐及几何的研究：他证明了毕达哥拉斯定理的广泛有效，性并且被认为是世界是第一位真正的数学家

Combining with the sketch-based technique and the blobby model implicitrepresentation, we develop a new fast cloud modeling system.

结合草图技术和元球模型表示方法，设计了一个新的基于几何的云的快速建模系统。

It can be excluded with data dependent way based on Riemannian geometry for improved SVM.

基于黎曼几何的SVM数据依赖性改进方法能够剔除支持向量携带的冗余信息，改进SVM的性能。

It evaluates the process of feature point matc hing by extracting feature point by the Harris corner detector, forming a correlation matrix in terms of the monogenic s ignal elements｛p,q 1,q 2｝,then to the stage of RANSAC inliers selection so as to eliminate the false feature point pairs and to calculate the fundamental matrix of epipolar geometry.

其核心 思想是用Harris角点检测算法提取特征点，然后以单演信号元素｛p，q 1，q 2｝构成相关矩阵，提取出初始特征匹配点对，再用随机抽样一致性算法去除伪匹配的特征点对，选择内点集估计对极几何的基本矩阵，实现图像的配准。

The article uses the theory of projective geometry to determine the polar and pole of self-conjugate of nonsingular conic without thinking about measure.

用射影几何的理论，抛开度量性质，给出了非退化二次曲线自共轭的极线与极点的射影定位，为现代设计提供了理论依据。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。