You're probably familiar with Gauss's laws in electricity,magnetism and gravitation:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]

\oint_{\partial V} \vec{D}\cdot \vec{d\sigma}=q_V \\

\oint_{\partial V} \vec{g}\cdot\vec{d\sigma}=-4\pi G m_V\\

\oint_{\partial V} \vec{B}\cdot\vec{d\sigma}=0 \\

[/itex]

It is also known that the first two integrals are non-zero because of the contributions from their singularities and the last one is zero because it is thought that it never gets singular.

Now I just feel there is something more fundamental than these from the mathematical point of view.I mean,it seems to me that there is something mathematical about singularities in vector fields that I don't know but I just can't find it or understand it myself.

I know,maybe there is nothing but my experience with mathematics tells me that it can't ignore such a...you know...mmm...anyway...just can't ignore it!!!

I'll appreciate any idea

thanks

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# Singular vector fields

Can you offer guidance or do you also need help?

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