## Notes: Magnetostatic multipole expansion using STF tensors

How to do the STF multipole expansion of the magnetic potential and field (it’s been on my TODO list for a while)

How to do the STF multipole expansion of the magnetic potential and field (it’s been on my TODO list for a while)

So you have a function in terms of a continued fraction, and you want to compute its derivative…

The generalized harmonic formulation can be derived by adding a gauge-fixing term to the Einstein-Hilbert action

Sometimes in a numerical method, you need to be able to continuously turn a calculation on or off in space or time.

Integrability conditions when trying to solve for a conformal factor

Here to save you some algebra and column-inches

An identity between vector commutation coefficients and coframe connection coefficients

These three objects form a superalgebra! Whoa!

When can you integrate-by-parts with Lie derivatives?

Special thanks to Ben Mares for coming up with this identity.

There is a nice 4-dimensional Weyl identity that I can never seem to remember off the top of my head; so I decided I need to write this note so I don’t have ...

The Weyl decomposition, further splitting into E/B, and computing in terms of 3+1 objects

In an effort to keep myself organized, I decided I should type up some notes I have laying around.