Recent content by psid

Thanks for the reply. The above expression yields tangent vector rather easily: \hat{T}=\frac{-a\sin{\theta}\hat{i}+b\cos{\theta}\hat{j}}{\sqrt{a^{2}\sin^{2}{\theta}+b^{2}\cos^{2}{\theta}}}. But taking the derivative of this yields multiple pages of output in Mathemathica and is not very...

Homework Statement Find the tangential and normal unit vectors for an ellipse with major axis of length a in the x-direction and minor axis of length b in the y-direction. Homework Equations For a circle, the unit vectors are defined as \hat{r}=\cos{\theta}\hat{i}+\sin{\theta}\hat{j}...

Homework Statement Assume that a point on an ellipse is described by the vector r=m(a\cos{\theta},b\sin{\theta}), where 0\leq m\leq 1 and that the vector is rotating in the clockwise direction at constant tangential velocity W when m=1. The problem is to find the velocity W(m). Also...

I'm a physics student and need to come up with an idea for a relatively simple program for a programming exercise. The scope of the work is 5 ECTS credits which translates to about three weeks full time work. The program should probably include a simple gui so part of the effort goes into...

Well the task would have been writing a software to analyze measured data. It seems it's difficult to find any open source projects for this kind of work, ie. scientific programming...

I'm a physics student facing unemployment for the coming summer. I made it to couple of interviews but it seems that didn't get the positions because of lack of actual real world programming experience even thought the positions were aimed for a physicist. Well, I thought that now that I have...

But the problem with this substitution is that there is a second power of y in the square root. Thus there will be a term including y for the expression for dt...

It is indeed separable. I get it into the following form, but don't know how to integrate dx=\sqrt{\frac{((2/\gamma)y^{2}+C)^{2}}{1-((2/\gamma)y^{2}+C)^{2}}}dy

Homework Statement How to solve the following DE: \frac{1}{\sqrt{1+(dy/dx)^{2}}}=\frac{2y^{2}}{2}+C?

Homework Statement Where to begin when trying to calculate the inverse Laplace transform of \hat{f}(s)=\frac{1}{\sqrt{s+1}}? I know it's tabulated, but I'd like to calculate it without resorting to a tabulated result. Thanks

Thanks. I get it to the form 2\int_{0}^{\pi/4}\frac{d\phi}{\sqrt{1-2(sin\phi)^{2}}}, which in my opinion equals 2F(\sqrt{2},\pi/4), but according to Mathematica, the answer is \sqrt{2}K(1/2).

Homework Statement The problem is to calculate integral \int_{0}^{\pi/2}\frac{dx}{\sqrt{\sin{x}}} by transforming it into elliptical form (complete elliptical integral of first kind).

Thanks, got it right now. The limit was indeed before the integral sign.

Homework Statement How does one prove that \int^\infty_{-\infty}\lim_{\epsilon \rightarrow 0}(1/\pi)\frac{\epsilon g(x)}{(x-a)^{2}+\epsilon^{2}}dx=g(a)?