Not sure if this is a diff geom. question or more appropriate for the strings forum or even relativity or cosmology.
I'm doing work involved in inflationary models for compact spaces and the two important quantities are the slow roll parameters \epsilon and \eta. Previously I've been using...
I'm a hopeless care for hoping he'll see the light and realize he'd advance so much faster if he actually opened a book and learned rather than trying to reinvent the wheel.
Albers, though you're now banned, I'll take this opportunity to explain to you why your question doesn't even make sense.
The Minkowski 'field tensor' (which in itself of dubious terminology) is the flat space-time metric. While you can pick various coordinates to express this in, such as...
I started as a mathematician by degree and ended up in a physics department as postgrad. It's the best way to do things :-p
Oh no, we won't have someone to explain vector calculus a first year should know to. How will we stumble from one day to the next :cry:
Maybe I'm just weird but I'm suprised people are saying MatLab is easier to use off the bat than Mathematica. I had to learn to use one of the two of them at the beginning of the year and I tried MatLab first. Didn't have a clue WTF was going on. No idea how to make it do anything, despite...
Though it's utterly off the top of my head, could you do something with mod 10^n ?
For instance, if X mod 10^n = X mod 10^(n+1) then the n+1'th entry in X is 0. For instance, 301 mod 100 = 1 = 301 mod 10, so the 2nd entry of 301 is zero.
Unfortunately that's about the limit of my...
Albers, I see you post here similar things you post on PhysOrg and you reject honest advice here as you do there.
Both Chris and myself have told you it might be wise you learn the basic mathematics of vector calculus and differential geometry but you don't seem to want to. When you're...
Soliton solutions along with a huge chunk of stuff on Lax pairs etc was covered in a course I did a few years ago. As a kind of physical motivation for the material, the lecturer outlined where the ideas came from. The first 2 or 3 pages of the printed notes...
There wouldn't be much point in asking the question for a maths homework/question sheet if the answer was "Done by computer". For integrals such as sinx/x, particularly when the limits involve infinity, complex analysis is often the way to go.
For the benefit of the original poster mostly ...
It's best to ignore my last post, I was trying to nail down a few concepts I didn't get but now that they've been rolling around in my head (and I managed to reproduce the results of a paper using Singular while before I was chugging along with Mathematica so compute resources aren't an issue...
As predicted, I've more questions...
I've got the whole "How to decompose a variety into it's irreducible component varieties" thing. Each i.v. can be parameterised by as many variables as the dimension of the variety (or more, but you know what I mean). If you work out the dimension of a...
Two comments about FeynMF :
1) When compiling your .tex file into .pdf and you've got FeynMF pictures, compile it twice. I've found on both Linux and Windows that compiliing it once results in all the diagrams becoming giant capital Greek deltas, \Delta (oh the joys of anomalous bugs!), in a...
Assuming everything is 'nice' then yes you can. There's probably a pathological counter example to it being generally true but for most things you can just put the derivative under the integral.
It's a pretty nice book and the fact they wrote a few Mathematica files which impliments things like the S polynomials makes it easier to follow some of the worked examples or to do the questions.
Though I've not got that far, they cover the projective plane in quite a lot of detail which is...