Recent content by ElPimiento

Woops! got a little too excited with the cancelation: $$ \begin{align*} k_n & = -\frac{2 \, {\left(\frac{\left(-1\right)^{n} \alpha}{\alpha^{2} e^{\left(\pi \alpha\right)} + n^{2} e^{\left(\pi \alpha\right)}} - \frac{\alpha}{\alpha^{2} + n^{2}}\right)}}{\pi} \\ & = - \frac{2 \alpha ((-1)^n e^{-...

Oh duh, I should've realized that >~<. Thanks though! That cleaned it up nicely: $$ k_n = -\frac{2 \alpha (e^{\pi \alpha} - 1)}{\pi (\alpha^2 + n^2)} $$

I'm kinda just hoping someone can look over my work and tell me if I'm solving the problem correctly. Since my final answer is very messy, I don't trust it. 1. Homework Statement We're asked to find the Fourier series for the following function: $$ f(\theta)=e^{−\alpha \lvert \theta \rvert}}...

Hi, (This is more of a math question but I thought Astronomy people would be more familiar with the equation and how it's used) So in Monaghan 1992 (http://adsabs.harvard.edu/abs/1992ARA&A..30..543M, bottom of pg 554) a cubic spline in three dimensions is defined. I tried to integrate it (using...

There you go.

Homework Statement Suppose that A', B', and C' are at rest in frame S', which moves with respect to S at speed v in the +x direction. Let B' be located exactly midway between A' and C'. At t' = 0, a light flash occurs at B' and expands outward as a spherical wave. (A', B', and C' are all on...

I'm going to bring it to my professor's attention. Thanks for the second opinion!

I'm submitting the question online so here are the values I know are incorrect: 21.7°C, 21.8°C, 22°C, and 8.998°C. So, I hope it is not the case that the margin of error is crazy small, I also hope there is nothing fishy going on with the answer to the question that the website is using...

Homework Statement "A well-insulated bucket of negligible heat capacity contains 120 g of ice at 0°C. If 20 g of steam at 100°C is injected into the bucket, what is the final equilibrium temperature of the system?" Homework Equations $$Q_{fus} = m_{water}L_{fus}$$ $$Q_{vap} =...

Currently I'm thinking either this scholarpedia article or N-Body Simulations: Tools and Algorithms, by Sverre J. Aarseth is a good place to start.

Hi, I'm interested in research on the formation of dark matter halos and was hoping that I might, in the future, run an N-Body simulation on the subject. However, I do not have any experience with N-Body simulations. I only know C, but I am learning Python. So, does anyone have a suggestion for...

I'm back tracking the work a little to make sure i understand where your getting that form of emf: ##\begin{align} F_B - F_E \ &=\ 0 \\ F_B \ &=\ F_E\ =\ q|\vec E|\ =\ q\frac{d(\epsilon)}{dr} \\ vB\ =\ \omega r B\ &=\ \frac{d(emf)}{dr} \\ \int (\omega r B)dr\ &=\ \epsilon \\ \frac{\omega B...

Homework Statement Homework Equations ##\omega = v/r## ##q\vec v \times \vec B\ =\ \vec F_B## ##|\vec F|d\ =\ |\vec E|## ##q \Delta V\ =\ E## The Attempt at a Solution (So, my answer is twice and large as the correct answer. This is the second time this has happened on a question like this ...

Thanks for all the help.

Thank you so much! That makes a lot of sense, so the field from the spherical shell is W = {k_e q\over R}\; so to move a charge, dq, to its surface takes an amount of work dW = {k_e q\over R}\; dq and R is constant in this case (obviously, I should have realized that lol) so we can move it...