卡尔

In this chapter, we give out the definitionsof Cartesian product, composition, union and join for two L-graphs, which aregeneralization of the corresponding operations in graph, and the necessary conditionsthat a partial L-subgraph of these operations can be obtained by the same operationfor some partial L-subgraph of the given two L-graphs are investigated.

本章定义了两个L-图的笛卡尔积运算、合成运算、并运算和联运算(它们是图中相应运算的推广)，并研究了这些运算的部分L-子图可以由这两个L-图的部分L-子图通过相应的运算生成所需要的条件。

A database engine can make very strong assumptions about first constrain ing the heavily indexed dimension tables, and then attacking the fact table all at once with the Cartesian product of the dimension table keys satisfying the user's constraints.

数据库引擎会对具有约束并大量索引的维度表做假设，然后使用满足用户条件的维度表的主键与事实表做笛卡尔积。

Given a Cartesian space, one can compute the distance between any two points i and j .

提供笛卡尔的空间，能计算在任何的二点 i 和 j 之间的距离。

On the other side, there is some conformity between them, such as trajectory planning in Cartesian space.

从另一方面来看，空间机器人与地面机器人也有一些相同之处，如笛卡尔空间的轨迹规划问题等等。

Multidimensional filtering and recursive filtering on Cartesian space can be transformed into onedimension space to process.

利用螺旋坐标系统可以把笛卡尔坐标空间中的多维滤波和递归滤波转化到一维空间中来处理。

Which satisfies the mixed constraints in both Cartesian space and joint-variable space.

提出了一种满足笛卡尔空间与关节空间混合约束的机器人平面曲线轨迹规划方法。

The dynamic performance of the position-based visual servoing and the image-based visual servoing in the Cartesian space and the image spaces are investigated respectively based on this model.

在此模型基础之上，重点研究了基于位置的视觉伺服与基于图像的视觉伺服方法在笛卡尔空间和图像空间的动态特性。

On this condition, the author analyzed the robot"s operating task and the robot"s motion path, and used cubic spline method for continuous path motion trajectories planning of surgical robot in Cartesian space.

在此基础上分析了机器人的作业任务和运动路径，采用在笛卡尔坐标中的三次样条法对机器人运动路径进行了轨迹规划，得出了无框架立体定向手术机器人专用轨迹规划器。

The system can display in 3D the robots with higher quality graphics on PC by adopting the solid model technology, and modify the model of robots according to the size given by users, so that the parametric modeling is realized under interactive mode. It realizes the graphics simulation of robots in kinematics in both articulatory space and Cartesian space, and it also realizes the animated simulation of trajectory of linear interpolation in point-to-point mode.

该系统采用实体造型，能在微机上显示较高质量的机器人的三维图形，可以按照用户给出的尺寸修改模型，在交互方式下，实现机器人的参数化造型；系统能够在关节空间和笛卡尔空间中进行运动学的图形仿真，能进行点到点直线插补轨迹的动画显示，机器人的动作可以示教再现，也可以由程序设定。

My arguments in this chapter have been in a Cartesian spirit.

我在这一章中所论证的是笛卡尔式精神。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新