Recent content by spacenerd

Right, Well I guess I should have specified that z was an element of the Complex plane. Thoght it was kinda implied by the post title. How about ln(z). I know that this is defined as; ln(z)=ln|z|+i*arg(z), where 0<arg(z)<2pi. This requires a branch cut to not include 0 and 2pi. I'm just a...

I was hoping someone could clarify the idea of a branch cut for me. In class, my professor talked about how a branch cut is used to remove discontinuities. He gave an example of |z|=1 needing a branch cut along the positive real axis. If this because going from 0 to 2\pi, the 0 and 2\pi match up?

Thanks :)

When a group has a prime order, does that mean that it is always isomorphic to the cyclic group of the same order? I just am a little confused and need some clarification on this matter. Thanks