/sci/ - Science & Math

>>5427586
this.
Or to spell it out in more words:
For any concrete configuration of your free variables, (x,p) here, the Hamiltonian evaluated for these variables gives you the energy E of the system. And this is understood to be some finite positive number (moreover contant in time).
If it say H(x,p)=K(p)+U(x) and U(x') is too big for there to be any reasonable value of E, it just means that (p,x') can't be a resonable configuration of your physical system.

>>5213590
can't say I every heard of germany being unorganized university wise.
germany is loaded with bureaucracy, but that's another thing.

I don't know a compact formula, but the idea is clear:

You start with a momentum <span class="math">m_0·c^2·(1,0)[/spoiler] and boost with a matrix two by two <span class="math">L(v)[/spoiler] where v is your velocity.
The photon momentum looks like (k,k). You add them and get a new momentum <span class="math">M_0·(1,0)[/spoiler].

You'll need the (relativistic) relation between velocity and momentum as well as the lorentz transformation (some cosh's etc.)

>>4604483
but 300k starting!
:)

In any case, the problem looks quite interesting and nice. As far as the math goes, this really on the sharp edge of topics I understand. I always wanted to learn Riemannian geometry (or more broadly, Cartan geometries) from a side which emphasises the monodromy and holonomy concepts more, but sadly that takes some time and required to really do excesed like that.
:(

>>4303867
>Definitions are always simple.
oh, I wish

Clouds. Well such common things as clouds ofter remembers me that there is more science around then just physics. Another one is linguistics and related topics.

Anyway, just compare pics with the wiki pages, there are several on clouds:

http://en.wikipedia.org/wiki/List_of_cloud_types

>>3962545
they are politely asking for plugging A into G and showing DG=0.

>>3881919
the solution is in the paper, bra

are you the Virial coefficient guy?
anyway, the answer is

-2 a^(1/4) Gamma(3/4) Hypergeometric1F1(-1/4, 1/2, a/4) + 2 a^(3/4) Gamma(5/4) Hypergeometric1F1(1/4, 3/2, a/4)

http://en.wikipedia.org/wiki/Generalized_hypergeometric_function

>>3858777
Well I wish it was that way but learning from books is extremely inefficient. If I talk with people who know the topic or at least learn it themselfs, then I understand much faster.
And it's been a couple of years since I sat in a course with more than 15 students. But I know that's different in some/many non-natural sciences.
Back to topic: If all people would do university for money only, then there would be much less post-docs. It's a pain in the ass politically and money-wise.