It is found that the canonical momentum is directly proportional to the gradient of space phase.
发现正则动量与空间相的梯度成正比。
Now, what's the gradient vector?
现在，梯度向量是什么呢？
So, the gradient is perpendicular.
所以，梯度向量是垂直的。
It points opposite to the gradient.
指向和梯度向量相反。
Adding one doesn't change the gradient.
加1并不改变梯度。
Set the gradient style to Radial Gradient .
设置渐变模式为径向(圆形)渐变 。
I've used the Gradient to make it seem indented.
我使用了颜色渐变让它看上去陷下去了一样。
This one goes right away, by using the gradient factor.
方法是使用梯度因子，很快的得到了结果。
The gradient vector would be going perpendicular to the level.
梯度向量应该垂直于等值线。
The gradient effect here makes the reflection seem to fade away.
这里的渐变效果使倒影看起来似乎正在淡出。
Notice the gradient backing of the button components in Figure 2.
请注意图2中按钮组件的渐变背景。
If I fix a point, then the gradient vector at that point is given to me.
确定一点，那么对我来说，这点的梯度向量就是确定的。
You use this downward pointing triangle as the notation for the gradient.
用▽表示,这就是梯度的符号。
That means that the gradient of f is perpendicular to the level set of g.
也就是说f的梯度向量,应该与g的水平集垂直。
I am sure some of you have already figured out what it is the gradient of.
我相信你们中的某些人，已经知道是谁的梯度了。
u That's negative the gradient. So, F is directed along minus gradient u.
那就是负梯度，F指向-▽
But they won't be the level curves of a function for which this is the gradient.
但它们不一定是，某个以该向量场为梯度的函数的等值线。
v So -- So if the gradient vector is perpendicular to v OK, that's a good start.
所以梯度向量垂直于,很好，这是一个很好的开始。
So, we said when we have a function of two variables, we have the gradient vector.
我们说，当一个二元函数存在时，就有梯度向量。
In the Gradient Editor dialog box, select the Foreground to Transparent Preset.
在渐变面板中，选择前景色-透明。
So now, let's go back to the gradient and see what this tells us about the gradient.
所以现在我们再回头看看梯度，看看它告诉了我们什么。
The gradient should already be set to the same one we created in the previous step.
渐变应该已经被自动设置为我们前一步使用的参数（你需要做相应修改——译者注）。
So, it's a force field is the gradient of a potential so, I'll still keep my plus signs.
有一个力场，它是某种势的梯度，我们还是保持正号。
If you take the gradient of this, you should get again this vector field over there.
对这个函数取梯度，你应该又得到这个向量场。
And we have learned how to package partial derivatives into a vector, the gradient vector.
我们也知道了，如何将各个偏导组合成一个梯度向量。
The gradient is the direction in which the function increases the most quickly at that point.
梯度向量方向是,在给定点处指向函数增加得最快的方向。
So, if the gradient of a function is a vector, the divergence of a vector field is a function.
如果说函数的梯度是向量，那么向量场的散度就是函数。
The directional derivative in a direction that's perpendicular to the gradient is basically zero.
垂直于梯度的方向上,方向导数为零。
Thanks to the gradient, the stream of emitted photons is the same as the stream of absorbed photons.
而正是这种均匀过渡的结构使纳米晶体上放射出的光子与吸收的光子数量能保持一致。
Does the gradient vector, why is the gradient vector perpendicular in one direction rather than the other?
梯度向量的垂直方向，为什么是这样而不是另外一个方向？
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