Thank you! I think I found the solution in the pdf. If I've understood correctly it's quite simple because I'm only dealing with real numbers. All I have to do is use the transformation equation 4.16:
_2F_1(a,b;c;z)=(1-z)^{-a}\frac{\Gamma(c)\Gamma(b-a)}{\Gamma(b)\Gamma(c-a)} {_2}F_1\left(...
I posted this in the Advanced Physics forum as well, but it occurred to me that this might be a more appropriate place. I'd delete it in Advanced Physics, but I can't see where to do that.
Homework Statement
I'm need to integrate the function
\frac{A}{(1+B^2x^2)^{\frac{C+1}{2}}}
which...
I'm tempted to simply say \widetilde{\rho}(p,\omega)=1, and \frac{K}{2\pi (Dp^2-i\omega)}=1, but that wouldn't give much diffusion, so I assume that's not the answer...
I have also considered taking \frac{\partial^2 }{\partial p \partial \omega} to both sides to get a partial differential...
Homework Statement
A the density of a gas \rho obeys the modified diffusion equation
\frac{\partial \rho(x,t)}{\partial t}-D\frac{\partial^2 \rho(x,t)}{\partial x^2}=K\delta(x)\delta(t)
A) Express \rho in terms of its 2D Fourier transform \widetilde{\rho}(p,\omega) and express the right...
thank you very much! I can't believe i couldn't find that anywhere. I'm happy to tke your word for it, but any chance you have a proof or reference of that for future referance?
I have to find the gradient of a scalar field, h, at a certain point in a direction given by a vector.
I know, \vec{\nabla}h will give me the direction of maximum slope, and its magnitude is the magnitude of the slope, but i don't know where to start in finding the slope in any other...
This is really basic, but I can't seem to find that one piece of reasoning that I must be missing...
I don't understand the definition of the joule; 'the energy given to a body if a force of 1N is applied for the distance of one meter'
If I apply 1N to an object of mass 1000kg until it has...
Thank you, I read the pdf, and I found it useful, but I did not find the answer to my question. I didn't use a formula to calculate the probability, I just observed that I got this outcome 43 out of 234 times
If i have experimentally determined a probability of an event with two possible outcomes to be, say, 46/234, how can I attatch an uncertainty value to this?
I just wrote all this, and then figured it out myself just as I finished. But I guess I might as well post t anyway. Thanks for all your help, I'm very relieved now (but I also feel a bit dumb, since I was so sure there was something wrong with the question).
where I went wrong was that the...