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。
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.
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。
本文研究了恰当散度非线性模型变离差的检验问题。
In this paper, we study the testing for varying dispersion in proper dispersion nonlinear models.
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.
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.
得到了一类二阶散度型椭圆方程很弱解的一个正则性结果。
A regularity result of a class of second order divergence form elliptic equation was obtained.
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.
涡度平衡中主要是水平平流累积的正涡度与散度项制造的负涡度相平衡。
Positive vorticity accumulated by horizontal advection was balanced with negative vorticity made by divergence term in vorticity balance.
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