• So, that's the divergence theorem.

    就是定理

    youdao

  • So, what does the divergence theorem say?

    那么散度定理究竟什么

    youdao

  • And that is called the divergence theorem.

    就是定理

    youdao

  • That is Green for flux and that is the divergence theorem.

    也就是通量格林公式——公式

    youdao

  • So, that's by the divergence theorem using the fact that s is a closed surface.

    所以通过散度定理得到的,其中使用S封闭曲面事实

    youdao

  • So, the divergence theorem gives us a way to compute the flux of a vector field for a closed surface.

    散度定理我们提供了一种计算向量通过闭曲面通量方法

    youdao

  • The convention in the divergence theorem is that we orient the surface with a normal vector pointing always outwards.

    散度定理中的约定,曲面的定向取为法线的方向。

    youdao

  • So, instead of proving the divergence theorem, namely, the equality up there, I'm going to actually prove something easier.

    将要证明一些稍简单结论,而不是证明定理,也就是写在这儿等式,接下来证明简单的东西。

    youdao

  • This one here, the divergence theorem, tells you something similar but now for a region of space bounded by a closed surface.

    这个就是散度公式了告诉大家一些相似的东西,仅仅是对闭合曲面包围空间区域来讲的。

    youdao

  • 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.

    第二信息是,我们定理得到就是花费时间试图解释的。

    youdao

  • Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.

    格林定理及其应用三重积分空间中的线积分面积分散度定理、斯托克斯定理应用。

    youdao

  • There is a similar thing with the divergence theorem, of course, with flux and double integral of div f, you can apply exactly the same argument.

    一个定理很像的东西当然对于通量div,f二重积分,都可以使用类似理论

    youdao

  • Topics for the electric field mathematics include: The integral form of Coulomb's Law, Gauss's Law, the equations of Laplace and Poisson, and the divergence theorem.

    电场数学基础包括库仑定律积分形式高斯定理积分形式,拉普拉斯公式泊松公式,度定理。

    youdao

  • Now, of course, 02 if you're doing 8.02, then you might actually have seen the divergence theorem already being used for things that are more like force fields, say, electric fields and so on.

    自然地,如果你们上过8。,可能已经看到定理应用,诸如力场场上的应用。

    youdao

  • So, remember, when we set up the divergence theorem, we need the normal vectors to point out of our region, which means that on the top surface, n But, on the bottom face, we want n pointing down.

    我们建立定理时,我们使向量指向区域外,在上表面时,要指向上方。,wewantn,pointing,up。,但是在下表面,要使n指向下面。

    youdao

  • So, remember, when we set up the divergence theorem, we need the normal vectors to point out of our region, which means that on the top surface, n But, on the bottom face, we want n pointing down.

    我们建立定理时,我们使向量指向区域外,在上表面时,要指向上方。,wewantn,pointing,up。,但是在下表面,要使n指向下面。

    youdao

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