几何的

Our interest in this paper is localizing a team of heterogeneous robots in two dimensional special Euclidean space SE (2) and localizing targets with information obtained from heterogeneous sensors.

我们对这一张纸的兴趣是在二空间的特别欧几里得几何的空间 SE(2)中本土化一队异种的机械手和用从异种的感应器被获得的数据本土化目标。

In the base of above research, establish movement model of hyperboloid clutch with rollers and find the relation between force of outer race and moment of inner race. I establish mechanics model of hyperboloid clutch with rollers with differential geometry.

在上述研究的基础上利用运动转化原理建立了内外环与滚柱之间的运动模型，并利用微分几何的相关知识通过对施加在外环上的主动轴向力的分解及合成，求的其在内环上所产生的力学反应，建立双曲面滚柱加载器力学模型。

Tomography is an inverse problem of integral geometry, its practicc in linear and complete case may be found in medical diagnostics . In seismic tomography, the problem becomes more complicated because of nonlinear and incomplete data.

Tomography是积分几何的反问题，医学诊断中的CT技术是tomography的线性完全数据成像的例子，地震层析成像是tomography的非线性、不完全数据成像的例子。

By using the Lie group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the necessary conditions and the structure equations of extremal trajectories are proposed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

An opportunity, however, presented itself: being required to work out from data supplied to him the ''défflement'' of a proposed fortress (an operation then only performed by a long arithmetical process), Monge, substituting for this a geometrical method, obtained the result so quickly that the commandant at first refused to receive it - the time necessary for the work had not been taken; but upon examination the value of the discovery was recognized, and the method was adopted.

但是一个机会出现了：蒙日需要根据数据计算一个设计中的要塞的枪炮布置（通常需要很长的算术过程来完成），他用了一个几何的方法来代替，如此迅速地得到了结果，以至于司令官一开始拒绝接受-因为一般完成工作所需的时间还没有过去；但是检查发现的价值被认可了，而且该方法被采纳了。

The relation between the nondegeneracy of their primal-dual optimal solutions and their strictly complementary optimal solutions is characterized, and then the conditions in which the solutions of a pair of primal and dual conic programmings are unique respectively are obtained.

从几何的观点描述一对原始-对偶锥规划可行域的极点，给出原始-对偶非退化的最优解与严格互补的最优解之间的关系，从而得到锥规划最优解唯一的条件。

A new idea for specific surface area standard reference materials which are made of nonporous mono-disperse SiO2 spheres and the true specific surface area can be calculated accurately from their diameters is presented.

提出一种新型比表面积标准物质的研究思路，即用无孔的单分散SiO2微球作为比表面积标准物质的材料，它的"真实"比表面积可以通过对其粒径的准确测量，用几何的方法计算出来。

By using the Li e group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the nec essary conditions and the structure equations of extremal trajectories are propo sed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

This paper analyzed the shortcoming of this strategy and then proposed a new correction algorithm based on the viewpoint of projective geometry.

为此从射影几何的观点提出了新算法：利用车牌固有的先验信息，将车牌与车牌图像之间的透视变换矫正为仿射变换，再将仿射变换矫正为相似变换，将此相似变换看做是对原车牌进行旋转和全局缩放的结果，消除其中的旋转因素，就得到一个与车牌仅差一个缩放因子的标准车牌图像，以便于后续的字符处理。

By constructing different quotient spaces,using the method of symplectic geometry,the self-adjoint extensions of symmetric differential operators in the direct sum spaces for the different deficiency indices at(2,2)singular points was discussed. The classification and description of complete Lagrangian submanifold that correspond with self-adjoint domains of second order differential operators were given.

由于对称微分算子在端点处的亏指数取值情况不同，当微分算子在端点处的亏指数均取(2， 2)时，通过构造商空间，应用辛几何的方法讨论了直和空间的对称微分算子的自共轭扩张问题，并给出了与二阶微分算子自共轭域相对应的完全Lagrangian子流型的分类与描述。

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。