- #1

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I have derived two Maxwell's equations from the electromagnetic field tensor but I have a problem understanding the second formula, which is:

[tex]\partial_{\lambda} F_{\mu\nu} + \partial_{\mu} F_{\nu\lambda}+\partial_{\nu} F_{\lambda\mu} =0[/tex]

I have a few questions to help me start:

1) Is the summation convention used which means it is a single equation, or is it a set of equations?

2) Where does this formula come from? Can we derive it from something simple?

3) How should I start to get the Maxwell's equation? For my other calculation: [tex]\partial_{\mu}F^{\mu\nu}=J^{\nu}[/tex] it was clear to me that there was a summation and 4 equations but here I don't know if it is 1, 2, ..., 20 equations?

I have started to replace all the indices by all the possible values but it looks like horrible and I assume there must be some simple method. Since I will never have any correction elsewhere, I hope you can help me there to do that properly.

Thank you!