单位矢量

这则是y轴，方向的单位矢量，这是z轴，方向的单位矢量。

And this is the unit vector in the y direction and this is the unit vector in the z direction .

，乘以向量x，Ax，times，x，roof，也就是x方向的单位矢量，加上Ay乘以向量，加上Az乘以向量。

Ax which is the unit vector in the x direction , y plus Ay y roof Z plus Az Z roof .

单位矢量，始终指向，轴的正方向，轴方向的单位矢量，and，the，unit，vector，是这个。

Unit vectors are always pointing in the direction of the positive axis x in the x direction is this one .

假设A是y方向上的，单位矢量，则是z方向上的单位矢量。，and，B，is，the，unit，vector，in，the，z，direction。，那A点B是多少呢？

Suppose A itself is the unit vector in the y direction B Then A dot B is what ?

此坐标系就是，这样定义的，对于x和y的单位矢量，叉乘得到z，而不是。

And a right-handed coordinate system , by definition is one whereby the cross product-z of x with y is z and not minus z.

采用D-H后置法建立了4R机器人运动方程，建立机器人执行机构在空间相对位置关系的数学模型，由此可解出手部位置和用单位矢量方向余弦表示的姿态。

A kinematics model by post D-H method for4R-robot was offered in this paper , which derived the manipulator finger position and its attitude with unit vectors of direction cosine .

E-RTLS算法结合了FSS算法和XS-RTLS算法，综合考虑了稳态误差和搜索范围两个因素，采用观测数据符号矢量和周期位移单位矢量的一种特殊组合方式作为方向矢量。

The steady-state error and search range are considered in E-RTLS algorithm . On the basis of FSS and XS-RTLS algorithms , augmenting observation data symbol and cycle-switch unit vectors are used for constructing special search direction vector .

两种正交曲线坐标系单位矢量间的一般表达式

General Expressions Between Unit Vectors of Two Curvilinear Orthogonal Coordinate Systems

用单位矢量法求刀具角度

A method of calculating angles of a cutting tool with unit vectors

四对反相单位矢量变换分离法

A Transformation Separation Method by means of Four-Pairs Anti-Phase Unit-Vectors

这就得到6个数字，和3个单位矢量。

So these six are numbers and these are the unit vectors .

那我们怎么得到这单位矢量呢？

Now , how do we get this unit vector ?

单位矢量在柱、球坐标的变化及微机图示

Unit vector change in the cylindrical , spherical coordinate and on the screen

还有一个有用的概念就是轨道的单位矢量。

Now , another useful notion is the unit vector to the trajectory .

一种有根数的约束的单位矢量法

A unit - vector - method with restricted elements

^总表示单位矢量。

" Roof " always means unit vector .

随时间变化的单位矢量

The Time Varying Unit Vector

这上面有一个帽子表示它是单位矢量，T表示它是切线。

It has a hat because it 's a unit vector , and T because it 's tangent .

复极单位矢量旋转法在平面机构力分析中的应用

The application of the complex pole unit vector rotation method in the force analysis of a planar linkage

本文在单位矢量法测轨原理的基础上，给出了一种根据已知的部分粗略轨道根数进行约束求解的实用测轨方法。

According to the principle of Unit-Vector-Method , we present an initial orbit determination method with some restricted elements .

将负规则引入到模糊控制器规则基中的每一条正规则，扩展了削减矢量的类型，使之不再局限于单位矢量。

In this paper , the incorporation of negative rules is introduced into each positive rules of fuzzy inference system .

在叶片式流体机械的内流场计算中，要使用曲线坐标系的三个正交单位矢量关于曲线坐标的偏导数。

In calculation of inner flew field within turbomachinery , partial differentials of three unit vectors in a curvilinear orthogonal coordinates must be employed .

文章利用球坐标系中单位矢量与直角坐标系中的单位矢量的关系给出了球坐标系中质点运动速度、加速度公式的直接推导。这将对力学、理论力学中有关内容的教学有所帮助。

The article presents direct deduction of velocity and acceleration of a particle in spherical coordinate system , which helps the teaching of theoretical mechanics .

如果你希望一单位矢量沿同一方向，你只需要缩放速度，让它的模为。

So , if you want a unit vector that goes in the same direction , 1 all you have to do is rescale it , so , at its length becomes one .

文中应用旋转矩阵导出各方向余弦的递推公式.并根据坐标变换不变量的概念，求出各坐标轴单位矢量的混合积。

The recursive formulas of direction cosines are derived by using the rotation matrixes and the triple products of cartesian unit vectors are calculated by using the concept of invariant of coordinate transformation .

根据动量定理和角动量定理，通过直角坐标系和平面极坐标系单位矢量的变换，给出了推导平方反比有心力场中轨道的一种新方法。

Based on the theorems of momentum and angular momentum , a new method for determining the orbit in central force field of inverse & square law is given by the transformation of unit vectors in two coordinate systems .

根据单位矢量法测轨原理，给出了在测角精度比较低或没有测角资料的情况下，利用测距、测速资料进行初轨和轨道改进的计算方法。

This paper proposes a computation method for initial orbit determination and orbit improvement with ranging and range rate data at low angular measurement accuracy or unavailability of angular measurement data based on the ( Unit-Vector-Method ( UVM )) principle .

文中利用旋转矩阵的性质，容易得出各坐标轴单位矢量的方向余弦的递推公式，求出这些单位矢量的标积和混合积，并且可以方便地导出第六个约束方程，推导颇为简捷。

Applying the character of rotation matrices , it is not difficult to obtain the recurrence formulas of direction cosines of Cartesian unit vectors , to calculate the scalar products and triple products of these unit vectors , and to derive the 6th constraint equation .

几何方程推导时考虑了变形前后曲面的变化所引起的坐标方向单位矢量的变化；精确计算了坐标方向上线段的伸长比及壳体内任一点的非线性应变和位移关系。

In derivation of the geometrical equations , the variations of deformed curve surface resulting in the direction change of basis vectors are considered , and the elongation ratio of line segment in basis vectors and the nonlinear strain and displacement relations in any point of the shell are obtained .

该方法在确保点位精度前提下，可获得以弧段为单位的矢量数据，同时依据线状要素的形态取样，从而达到压缩数据目的，此算法处理速度快，精度高、存储量小。

Under the premise of ensuring its accuracy of point positions , not only is vector data obtained but its compressing is also realized with a quicker speed , more accuracy and smaller storage device .