I'm a 3rd year physics major and my friend is a 3rd year computer science major, and for a bit of fun we want to do some sort of project that will utilize both of our skills. Some sort of computational physics problem seems appropriate, but with my limited knowledge, it seems that a lot of them...
My understanding is that dark matter/energy isn't so much a theory, it's more like a hypothesis.
We don't know what it is or how it "works" so it's more like informed speculation than a good working theory. The word "dark matter" is a sort of placeholder for something deeper and more insightful.
Well that was easy, just like a real Fourier series. Thanks.
I'm interested in knowing why that's the case though, I haven't seen anything about doing anything special for c_{0} in anything I've seen about complex Fourier series.
Homework Statement
Find the complex Fourier series for f(t)=t(1-t), 0<t<1
Homework Equations
\sum_{n=-\infty}^{\infty}c_{n}e^{2in\pi t}
where c_{n}=\int_{0}^{1}f(t)e^{-2in\pi t}dt
The Attempt at a Solution
I've worked out that c_{n}=-1/(2n^2 \pi^2). The problem is that for...