Recent content by Appledave

Homework Statement (This is not a homework problem, just something I'm curious about.) Assuming ideal conditions (clear skies, a flat landscape, no wind, anything else you can think of), is it possible to calculate how much the temperature (at 2 meters above the ground, as per meteorological...

My memory on this is a bit foggy, but a couple of years ago one my math professors had a digression about a system of voting where no one would be able to know what anyone else voted. It involved the graph of a polynomial, and the kicker was that this system couldn't be implemented in society...

I was reading the solution to a statistical mechanics problem and this showed up: http://imageshack.us/photo/my-images/196/grddar.jpg/ S2N-1 = the area of the 2N-1 dimensional unit sphere. Could anyone shed some light on how these expressions equal each other, I am quite dumbfounded :(.

How do I get the life-time for the decay from http://pdglive.lbl.gov/Rsummary.brl?...return=MXXX005? All I could see was the probability for each type of decay and the mean life time for the pion.

d^{3}p is like the dx usually found at the end of integrals, and it means that we integrate the variable p over all of the 3D space. It should be at the end, but for some reason many people (at least among physicists) like to put it right after the integration symbol.

We are integrating over all space for the single variable p. You've made a small typo, the Dirac's delta function isn't supposed to be squared, but thanks for the heads up on the bug and for putting my question into forum latex code =].

Does anyone know where I can find experimental data on the life time of charged pion decay? More specifically the life time of a negatively charged pion decaying into either an electron and an electron neutrino or into a muon and a muon neutrino.

Homework Statement Here is the problem: http://img810.imageshack.us/i/skjghl.jpg/ (I failed repeatedly to write the problem with forum latex code) Homework Equations N/A The Attempt at a Solution I thought that since the integrand is nonzero only when b - E - p = 0, the integral...

As the title suggests, does anyone know any good books for (introductory) Statistical Mechanics and/or Nuclear Physics? Any input is greatly appreciated :-p.

But that factor disappears because you take z to the power of three in the function (f(z) = \frac{1}{z(8z^{3}-1)}) Edit: nvm this post, I got it. thanks :)

exp((n*pi*i) = cos(n*pi) + i*sin(n*pi) = 1 + i*0 = 1 for n = +-2,+-4,+-6,+-8... isn't it? Wouldn't this make z = (1/2)exp((n*pi*i)/3) yield z = 1/2 for all n = +-2,+-4,+-6,+-8... ? (making all n = +-2,+-4,+-6,+-8... equal, hence my confusion over why only n=2 and n=4 were included in the...

Homework Statement Find all Laurent expansion of the function f(z) = 1/(z(8(z^3)-1)) with centre z = 0. The Attempt at a Solution I tried to find all the singularities and came up with z = 0, z = 1/2, z = (1/2)exp((n*pi*i)/3) where n = +-2,+-4,+-6... . But according to the solution n can only...