为什么要说F是一个梯度场？
Now it should be a gradient field.
那么它应该就是一个梯度场。
也就是梯度场。
So, indeed, this is not a gradient field.
因此这不是一个梯度场。
它不是梯度。
Yes? How do I know the direction of a gradient?
我怎样知道梯度的方向？
It is a gradient field. We need three conditions.
这是一个有势场，我们需要三个条件。
The problem is not every vector field is a gradient.
问题是，不是所有向量场都是梯度。
So how do we get a gradient background on a shell?
那么如何在shell上得到渐变的背景色呢？
The question is for which value of a is this a gradient?
问题是a取多少时，这是一个梯度场？
We have said if we have a gradient field then we have this.
如果有一个梯度场，那就能得到这个。
If you have a gradient field then it should have this property.
如果给定一个梯度场，那么它就应该满足这个性质。
Yes? How do you determine whether something is a gradient or not?
怎样确定一个场是不是梯度？
So, if you have a gradient field, it's what's called conservative.
如果有一个梯度场，它也是一个保守场。
As you can see, I used a gradient map for the stem and curly leaves.
正如你看到的，我为植物的茎和卷曲的叶子使用了一张渐变贴图。
So, in particular, only if you have a conservative field, a gradient field.
特别地，仅当是保守场，即有势场时才可以使用。
The question is for which value of a is this going to be possibly a gradient?
问题是a为多少时,这才可能是个梯度场？
One is to say that the vector field is a gradient in a certain region of a plane.
一个是向量场,在给定平面区域内是梯度场。
The main difference is the addition of a gradient to give it a fresher aesthetic.
主要变化是增加了色彩渐变，使得视觉上更加美观。
And, of course, it is not a coincidence because this vector field is a gradient field.
当然这并非巧合，因为这个向量场是有势场。
It changes things quite a bit, however, when it comes to testing whether a field is a gradient field.
然而，当考虑到一个场是否是一个有势场时，它有极大的影响。
If we have a vector field that cannot possibly be a gradient then we shouldn't try to look for a potential.
如果一个向量场不可能是梯度场，那我们就不应该尝试去找势函数。
This style is set to reflect the heading five pixels below it, with a gradient effect applied to the reflection.
设置这个样式以在标题下方5个像素处反射标题，并对倒影应用一个渐变效果。
Well, if we know that it's a gradient field, that we've seen that we get these properties out of the fundamental theorem.
如果我们知道它是一个梯度场，就可以由基本定理，得到上面那些性质。
Finally add a gradient to the sidebar spanning from white to the light grey background to add a little interest and dimension.
最后在侧边栏上添加一个从白色到灰色的渐变来增加些细节和层次。
And, basically, we say that these properties are equivalent being a gradient field or being path independent or being conservative.
根本上说，以下性质是等价的，一个向量场是梯度场，等价于积分与路径无关，也等价于向量场是保守的。
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。
Now, if I rotate, the the slope sort of increases, increases, increases, and it becomes the largest when I'm going in the direction of a gradient.
如果旋转的话，那么斜率会变大，变大，变大，当和梯度方向一致时，它达到最大值。
As we have SWT widgets inside our shell and we intend to use a gradient background on the shell itself, all the widgets need to be transparent.
由于我们的SWT组件在shell内部并且我们打算对shell本身使用渐变背景，所有的组件都必须是透明的。
Set your Foreground color to #00315C and Background to #001B32 and choose the Gradient Tool (G) with a gradient type option set to Radial Gradient.
设置前景色为 #00315C ，背景色为 #001B32 ，然后选择渐变工具（G），渐变类型为径向渐变。
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