So, to say that a vector field with conservative means 0 that the line integral is zero along any closed curve.
一个保守的向量场就是说,沿任意闭曲线的线积分的结果是。
So, one of them says the line integral for the work done by a vector field along a closed curve counterclockwise is equal to the double integral of a curl of a field over the enclosed region.
其中一种说明了，在向量场上，沿逆时针方向，向量做的功等于，平面区域上旋度F的二重积分。
Of course, you can also do it geometrically because geometrically, you can see in the picture along the X-axis, the vector field is pointing vertically.
当然，你可以直观地算出来是因为，你可以直观地在图上看出x轴上，向量场是垂直指向的。
That is our convention to get a unit normal vector that points to the right of the curve as we move along the curve.
这是约定的得到单位法向量的方法，这种做法使得，当沿着曲线行进时，法向量始终指向右手方向。
Normal vector points up. Imagine that you put your thumb along c, your index towards s and then your middle finger points up.
法向量向上，想象你把你的大拇指沿着C放，食指指向s，那么你的中指就会向上。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
What we will do is just, at every point along the curve, the dot product between the vector field and the normal vector.
我们要做的是，沿着曲线的每一点上，取向量场和法向量的点积。
Ok, if we look at it near here, if we walk along this way, the surface is to our right.so, we should actually be flipping things upside down. The normal vector should be going down.
我们看看这里，如果我们沿着这条路走，曲面就在我们的右边，我们应该是把它颠倒一下，这个法向量也应该向下。
Let me show you a picture. The rule is if I walk along C with S to my left then the normal vector is pointing up for me.
给你们看张图片，“相容”就是,如果我沿着C走，而且S在左边，法向量就是朝上的。
So, I'm going to draw it in red. OK, so that's a unit vector that goes along the curve, and then the actual velocity is going to be proportional to that.
现在画成红色，这就是，沿曲线的单位速度向量，实际中的速度向量与它成比例的。
It's the dot product between the normal vector of a plane and the vector along the line.
这是平面法向量，和沿直线向量的点积。
If you remember what we did several times, well, along the circle that vector field now is tangent to the circle.
我们做过若干次了，沿着圆，向量场与圆相切。
Data: An object; a generic reference that is carried along to listeners; often a collection class (such as a Vector or Hashtable) or a customized data object.
data：一个对象；传递给侦听程序的一般引用；常常是一个集合类(如vector或Hashtable)或一个定制的数据对象。
The snapshot in Figure 2 highlights a memory leak (String object is leaking), along with the leak's container type (Vector object), and root (TestThreeTierQueue object).
图2中的截图高亮度标示了一个内存泄漏(字符串对象正在泄漏)，连同泄漏的包装形态(矢量对象)和根(TestThreeTierQueue对象)。
The rotative speed along speed vector is used for test data of rotary balance.
沿速度矢量的旋转角速度用于旋转天平试验数据。
The normal vector of each data point is calculated without reconstructing surface, and then realizing radius compensation with probe radius by going along normal vector.
在不需要重建曲面模型的情况下，找到每一个数据点的法矢，在该法矢方向上补偿一个球头半径实现了测头半径的三维补偿。
Along with the increase of the secondary flow pressure ratio, the shock move toward upstream divergent section and the thrust vector angle gradually increases;
次流压比的增加将导致激波向扩张段上游移动，且喷管矢量角不断增加；
Reflects the vector along the normal.
沿着法线反射向量。
Direction(D):the horizontal vector perpendicular to the wave front along which the crext travels.
方向（D）：运动方向，垂直于波阵面的水平方向；
When the price vector doesn t change along the idea changeable turnpike, we gives out the sufficent and neceseary condition about the price vector relative stability.
由分析可知，当价格向量沿理想变化路变化时，价格向量最稳定； 当价格向量沿非理想变化路变化时，给出了价格向量相对稳定的充要条件。
The azimuth can be determined by fixing two GPS in a certain distance along the longitudinal vector and making a carrier phase double difference between them.
如果沿载体纵向相距一定距离放置两个GPS天线，则在载体上两个天线载波相位之间求差可确定载体的方位。
Along with the deep development of study, the microjet technology will be possibly applied to control the aerodynamic flow of the high speed aircraft surface and the thrust vector of rocket engine.
并指出，随着研究工作的深入，该项技术还可望用于高马赫数飞行体表面气体流动控制、火箭发动机推力方向控制等。
High resolution range profile(HRRP) is the projection vector sum of target scattering point echoes acquired by wide-band radar along the direction of radar line-of-sight(LOS).
高分辨距离像（HRRP）是宽带雷达获取的目标散射点子回波沿雷达视线方向的投影矢量和。
The component of rotation along the velocity vector is used with the rotary balance test data and other components of the rotation vector are used with the forced oscillation test data.
旋转角速度的其它分量用于振荡天平试验数据，综合地使用了各类试验数据。
The component of rotation along the velocity vector is used with the rotary balance test data and other components of the rotation vector are used with the forced oscillation test data.
旋转角速度的其它分量用于振荡天平试验数据，综合地使用了各类试验数据。
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