Hey everyone
1. Homework Statement
I want to compute the Taylor expansion (the first four terms) of $$f(x) =x/sin(ax)$$ around $$x_0 = 0$$. I am working in the space of complex numbers here.
Homework Equations
function: $$f(x) = \frac{x}{\sin (ax)}$$
Taylor expansion: $$ f(x) = \sum...
Ah, now I know where this is going, thanks!
The Fourier transform of the derivative of a general function is related to the function like so: ## \hat{g'}(x) = ip \hat{g}(x) ##.
In my case this would mean that I can look at the Fourier transform of the derivative, divided by ip:
##\hat{f}(x) =...
The function is the derivative of the primitive function ##\frac{d}{dx} F(x) = f(x)##
Yet, I am not sure how this is helping me in this Fourier transform (sorry, I'm a bit slow today)
Homework Statement
I am supposed to compute the Fourier transform of f(x) = integral (e-a|x|)
Homework Equations
Fourier transformation:
F(p) = 1/(2π) n/2 integral(f(x) e-ipx dx) from -infinity to +infinity
The Attempt at a Solution
My problem is, that I do not know how to handle that there...
Hey!
I was reading some script and when it comes to the cosmological redshift, it says, that only relativistic particles are affected by cosmological redshift. This does feel quite natural, however, I haven't been able to come up with an explanation that shows it with proper physics and...