Actually, they have a vector field is still pointing perpendicular to the level curves that we have seen, just to remind you.
实际上,向量场,还是垂直于水平线,就像之前看到的那样,我只是想提醒一下大家。
Hopefully, you can see that if I take a normal vector to the sphere it is actually pointing radially out away from the origin.
我希望大家能够了解,如果我将法向量平移至球面,那么它将以原点为心向外放射。
Namely, we will be saying the /a normal vector is x, y, z over a, plus or minus depending on whether we want it pointing in or out.
我们容易知道,法向量为,正负号取决于它是指向外面还是里面。
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。
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。
S if we have a closed surface with a normal vector pointing outwards, and we want to find a flux integral for it, well, we can replace that with a triple integral.
的法向量似乎是指向外部。,And, the,normal, vector, to,s, seems, to, be, pointing, out wards, everywhere。,如果我们有一个法向量指向外部的封闭曲面,并且我们要求出它的一个通量积分,那么我们可以用一个三重积分来代替这个通量积分。
The normal vector pointing up, here we know what it means.
法向量指向上,这里我们知道它是什么意思。
It is this guy.If you continue to follow your normal vector, see, they are actually pointing up and into the paraboloid.
就是这它了,如果你继续跟着法向量看,会看到它们实际上,指向上并且指向抛物面里。
That corresponds to normal vector pointing up.
那相当于法向量指向上。
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。
But the usually traditional settings would be to take your normal vector pointing maybe out of the solid region because then you will be looking at flux that is coming out of that region of space.
但通常的习惯是,把立体区域上的外法向量规定为其定向,因为这么做之后,当你观察通量时会发现,它是从区域内部向外流动的。
Well, , see, that is a vector field that is equal to the vector from the origin to the point where I am, so it is pointing radially away from the origin.
也就是,这个向量场等价于,从原点指向给定位置的向量,所以它是以原点为心向外辐射的。
This acceleration that is necessary to make the change in the velocity vector is always pointing towards the center of the circle.
要促使速度矢量,产生如此的变化,所需的加速度,总是指向圆心。
That one would be pointing kind of to the back slightly up maybe, so like that. And now your middle finger is going to point in the direction of the normal vector.
曲面的方向有点向后向上,应该差不多像这样,那么现在你的中指,指的方向就是法向量的方向了。
Well, to get our conventions straight, we should take the normal vector pointing up for compatibility with our choice.
为了配合约定习俗,选择相容的、指向上的法向量。
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。
And, if you pay attention to the orientation conventions, you'll see that you need to take it with normal vector pointing up.
如果你注意到了方向的约定,你会发现它的法向量是向上的。
The convention in the divergence theorem is that we orient the surface with a normal vector pointing always outwards.
在散度定理中的约定是,将曲面的定向取为外法线的方向。
And, in fact, if you try to follow your normal vector that's pointing up, it's pointing up, up, up.
事实上,如果你随着你的法向量,一直朝上走。
Each edge point has a normal vector pointing in the direction perpendicular to the edge.
每个边缘点具有正常矢量指向在垂直的方向上的边缘。
The aims of this thesis are researching some typical NURBS surfaces' geometric continuous conditions and pointing out the effects of knot vector and the degree of surface on geometric continuities.
本文的目的是研究一些典型的NURBS曲面的几何连续条件,指出节点向量和曲面片的次数对几何连续性的影响。
The aims of this thesis are researching some typical NURBS surfaces' geometric continuous conditions and pointing out the effects of knot vector and the degree of surface on geometric continuities.
本文的目的是研究一些典型的NURBS曲面的几何连续条件,指出节点向量和曲面片的次数对几何连续性的影响。
应用推荐