# What does axially symmetric mean mathematically?

1. Dec 6, 2009

### AxiomOfChoice

What does "axially symmetric" mean mathematically?

If we, for example, say that a magnetic field $$\vec B$$ is axially symmetric, does that mean that (in cylindrical coordinates) we have $$\frac{\partial \vec B}{\partial \phi} = 0$$, where $$\phi$$ is the azimuthal angle?

2. Dec 6, 2009

### Mapes

Re: What does "axially symmetric" mean mathematically?

Yes, exactly. (Sometimes called "axisymmetric.")