I am an amateur astronomer and had a question concerning the most distant object found. It is said that the object is 13.1 billion light years from Earth and we are just seeing the burst that happened 640 million years after the Big Bang. Shouldn't the light from this explosion passed by the...
Great! It's clear as day now. This index notation is really neat stuff, it just takes a little bit for it to be intuitive. Thank you for your help, I can now finish the problem.
∂i(1/2*v2) = vj∂ivj
Thank you for your reply. That would certainly make my solution thus far work.
However,
I am fairly new to index notation. Can you explain to me in vector notation what vj∂ivj means? I understand the ]∂ivj term, but what does the vector vj in front of it do? Thanks.
[b]1. Verify that vj∂jvi=∂i(1/2*v2)-εijkvjωk,where ωk=εklm∂lvm
Homework Equations
The Attempt at a Solution
I am confused on how to proceed with this problem up to this point I have decomposed ωk into Curl(v). Which leaves vj X Curl(v). Decomposing this leaves vm∇ivm-vl∇lvi. I am...