笛卡儿空间

Asphericity Q in 360 meridians could be calculated. This is the curvature coefficient for the corneal function of asphericity.

建立以角膜顶点为原点的笛卡儿空间三维坐标，绕Z轴旋转坐标，形成新的三维空间坐标系。

The methods of trajectory planning and trajectory generating are analyzed both in joint coordinates space and Cartesian coordinates space based on kinematics of robot.

在机械手运动学和动力学的基础上，讨论在关节空间和笛卡儿空间中机器人运动的轨迹规划和轨迹生成方法。

According to the limited space the end of all surface sampling points in 3D space within the Cartesian coordinates, then be converted into computer on the screen coordinates of the pixel, thus drawn with a real sense of three-dimensional images.

根据有限空间中底面上所有采样点在三维笛卡儿空间内的坐标，然后将其转换为计算机屏幕上的像素点的坐标，从而绘制出具有真实立体感的图像。

By going through the diagnoses and responses of McDowell, two central problems in modern and contemporary philosophy – the narrow conception of nature and the Cartesian inner space model – are identified and repelled.

透过细究麦克道尔的诊断与回应，现代与当代哲学中的两个中心错误–狭窄的自然观以及「笛卡儿式的内在空间」–将被指出并且拒斥。

We set the transformation on each glyph to indicate the rotation matrix as well as a delta that will move the transformed image to the current pen position (in cartesian space, not bitmap space).

我们对每一个字形设置变换来指示旋转矩阵以及使用一个 delta 来移动转换后的图像到当前笔位置（在笛卡儿空间，不是位图空间）。

A series of formulae of calculating physical base and space metric tensor for 3-dimensional non-Cartesian tensor are presented which can be used to obtain the mathematical model for describing geometry and mechanics of continua such as oil and gas in energy-deliverying.

文章提出了三维非笛卡儿张量的空间度量张量的一系列计算公式，可借以建立油气输送等复杂系统的动量或能量传递的物理问题在任意坐标系中的数学模型。

This paper has presented the formulae of calculating physical base and space metric tensor for complicated system, these formulae are developed by using non-Cartesian tensor analysis and introducing physical base.

本文基于非笛卡儿张量的分析，并引入了物理基，提出了复杂系统的空间度量张量的一系列矩阵公式，据以求出任意曲线坐标系中的数学模型。

Space ; Cartesian coordinates ; non-Cartesian coordinates ; metric tensor ; natural base ; physicalbase ; helical ; parabolic cylindrical

空间；笛卡儿坐标系；非笛卡儿坐标系；度量张量；自然基；物理基；螺旋线；抛物柱面

Complicated system ; space metric tensor ; natural base ; physical base ; non-Cartesian tensor ; Cartesian tensor ; helical-Cartesian coordinate system ; parabolic cylindrical coordinate system

复杂系统；空间度量张量；自然基物理基；笛卡儿张量；非笛卡儿；张量；螺旋线——笛卡儿坐标系；抛物柱面坐标系

Aimed at 9-degree of freedom hyper-redundant module robot in intra-vehicular robot system, attention is given to the avoiding joint limits as an optimal mark. Two different iterative algorithms considering fault-tolerance for trajectory planning of redundant robot in Cartesian space are then proposed by using the method of differential locomotion. The first algorithm is for linear-path in which the pose of manipulator can be changed, the second is for circular-path in the plane decided by three noncollinear arbitrary points in the space. Experiments on the specimen robot platform are performed to validate the above algorithms.

以太空舱内机器人系统9-自由度超冗余模块机器人为研究对象，以避关节极限作为优化指标，考虑容错性能，利用微分运动的方法，分别提出了适于计算机迭代计算的冗余机器人在笛卡儿空间进行手爪姿态可变时的直线轨迹优化算法和手爪经过空间中任意不共线3点决定的平面内的圆弧轨迹优化算法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷