Well, if I take the vector field that was in the problem set, and if I do things, say that I look at the unit circle.
如果找一个这个问题中的向量场，然后我们要做的是，假设这个单位圆。
If you look at the vector from behind, you see a cross.
如果矢量背对你，你看到的是一个叉。
Ok, so just to reinforce my warning that not every field is a gradient field, let's look again at our favorite vector field from yesterday.
好的，为了强调，不是所有场都是梯度场，我们再来看看昨天那个向量场。
Well, the orientation I should have for Stokes theorem is that Well, if you look at the convention around here, it tells us that the normal vector should be going this way.
对于Stokes定理中的定向——，观察这里，它的法向量应该是这个方向。
If you look at the vector head-on, you see a dot.
如果看到一个矢量指向你，你看到的是一个点。
So, what that means is that if I look at my trajectory at this point, that the acceleration vector is pointing in that direction.
这意味着如果我们在这点观察运动的轨迹，它的加速度是指向这个方向的。
You will get some sort of mesh grid on your surface and you will look at a little parallelogram that is an elementary piece of that mesh and figure out what is its area and normal vector.
在曲面上做一些网格，你会看到一个网上的每一小块儿，都是小的平行四边形，我们要弄清楚它的面积和法向量是什么。
So, if you just look at the position vector, and the velocity vector for any motion at any given time, then together, they determine some plane.
如果你看一下任何时刻运动时的，位置矢量和速度矢量，它们决定了某个平面。
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。
And, we look at how the position vector changes.
来看看位置矢量的改变。
We look at the need for vector graphics and I never said to my team: 'Hey, let's just use Silverlight; we don't need vector graphics support.'
我们关注对矢量图形需求，而且我也永远不会对我的团队说，‘Hey，让我们只用Silverlight吧，我们不需要矢量图形’。
And, if I look carefully at the orientation convention, Stokes I have to take the normal vector pointing up again.
如果我仔细考虑了方向的约定，定理告诉我们，Stokes, theorem, tells, me, that，法向量必须再次指向上。
Let's look at creating a few vector skull graphics, then combine them into an intricate pattern design to customise a skateboard deck.
让我们看看如何创建一些矢量骷髅图形，然后然后将它们结合成一幅复杂的设计图形并作为一个滑板车身的设计。
Finally we'll look at a cheap way to improve our motion blur from NUKE's 3d system using a combination of samples and vector blurs.
最后，我们来看看一种廉价的方式来提高我们的Nuke的3d系统使用的样品和载体模糊相结合的运动模糊。
Finally we'll look at a cheap way to improve our motion blur from NUKE's 3d system using a combination of samples and vector blurs.
最后，我们来看看一种廉价的方式来提高我们的Nuke的3d系统使用的样品和载体模糊相结合的运动模糊。
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