那么散度定理究竟讲的是什么？
那部分是数学的东西，即散度定理。
At that part is actually math, namely, the divergence theorem.
梯度和散度是完全不同的东西。
OK, so divergence and gradients are completely different things.
也就是通量的格林公式——散度公式。
要注意的是，散度并不是只在圆心处是。
散度场的物理解释是什么？
So, what's the physical interpretation of a divergence field?
这就是散度所度量了的。
答案是，散度是用来度量物体的发散程度。
Well, the answer is divergence measures how much things are diverging.
向量场，的散度，这两个定理说了什么呢？
Remember, the divergence of a vector field What do these two theorems say?
取一个向量场的散度。
我们想求出它的散度。
我们知道旋度是度量旋转的，那散度表示什么？
I mean, we said for curl, curl measures how much things are rotating somehow. What does divergence mean?
在某种方式下它们是有联系的,这就是散度定理。
OK, so we have somehow a connection between these which is the divergence theorem.
散度是什么意思？
你们需要记住，什么是线积分，什么是场的散度？
So, you should remember, what is this line integral, and what's the divergence of a field?
这就是散度定理。
那就是散度定理。
那就是散度。
提出了基于模糊散度理论的图像置乱程度评价新方法。
The new image scrambling degree evaluation method based on fuzzy divergence theory is proposed.
如果说函数的梯度是向量，那么向量场的散度就是函数。
So, if the gradient of a function is a vector, the divergence of a vector field is a function.
它衡量总量的大小，我说过，当试着理解二维上的散度。
It measures how much, I said that probably when we were trying to understand 2d divergence.
在散度定理中的约定是,将曲面的定向取为外法线的方向。
The convention in the divergence theorem is that we orient the surface with a normal vector pointing always outwards.
研究了一种基于核的最大散度差准则的文本特征抽取方法。
This paper studied a method of extracting the text features based on the kernel and scatter difference.
散度的解释，你们可以思考一下，你们知道的，我首先说什么呢？
Interpretation of divergence. You can think of it, you know, what do I want to say first?
实际上，Maxwell方程组，描述了这两个场的旋度和散度。
Maxwell's equations actually tell you about div and curl of these fields.
所以那是通过散度定理得到的，其中使用了S是封闭曲面这一事实。
So, that's by the divergence theorem using the fact that s is a closed surface.
散度定理为我们提供了一种，计算向量场通过闭曲面的通量的方法。
So, the divergence theorem gives us a way to compute the flux of a vector field for a closed surface.
散度本身度量了，给定区域的,单位体积内的冒出的，或者流失的量。
So, the divergence itself measures basically the amount of sources or sinks per unit volume in a given place.
为使速度散度保持为零，在泊松方程中给速度散度一个特殊的处理。
In order to keep the divergence of velocity being zero, a special treatment of divergence term in Poisson equation is proposed.
第二点信息是，我们从散度定理得到的，这就是我花费时间试图解释的。
And the second piece of information that we got was from the divergence theorem, and that was the one I spent time trying to explain.
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