Thank you very much i think I've finally got it!
just a quick question though, when you did the integration for \hat{f}(\xi ) what limits did you integrate between? because when i integrate between infinity and -infinity I am not getting the same thing because the exponentials just disappear...
thankyou!
but I'm given the Fourier transform of e^{-x^2/2} is there a simple way of manipulating it so that its the transform of e^{-x^2} or would i have to work that out?
I'm sorry but i can't see where to go next or how it could help!
i know how you got that and i can see how its the same as my function, but you've already got it into transform form? but i need the transform of xf(x), i know that the transform of xf(x) is if'(xi) is it anything to do with that?
I've tried it with
a=f'(x) b'=sin(nx)/n
a'=f''(x) b=-cos(nx)/n^2
and iv got that if f is even then the whole is 0
and if f is odd then the whole thing is -2f'(pi)cos(npi)/n^2
I feel like I've gone wrong here?
I've done it by parts and for my parts I've got
u=f(x) v'=cos(nx)
u'=f'(x) v=sin(nx)/n
so then i get
0-\int\frac{sin(nx)}{n}f'(x)dx (with the integral still between -pi and pi)
but then if i do this again with
a=sin(nx)/n b'=f'(x)
a'=cos(nx) b=f(x)
i just end up with...
Thankyou for replying to my question!
If cos(-n*pi) = cos(n*pi) does that just mean that the integral becomes 0 to pi because -pi=pi?
I'm not quite sure what you mean by using this though because if i integrate cos(nx) it becomes -sin(nx)/n and then this doesn't apply anymore because...
I need to find the Fourier transform to this function and I'm really stuck, because i tried substituting it into the Fourier transform equations but i started to get a really long integral that got out of hand!
i also know that but i don't know how to incorporate it into finding the Fourier...
I am so stuck on my revision and i really need someones help!
I am using the definition of Fourier series as
My lecturer has told us that if f is odd.
Could someone please tell me how he has derived this because i can't understand how he's got to it, iv tried using trig identities and...
Hi I would really appreciate it if someone could give me some hints on how to start this problem that I have set because I'm really stuck on it!
This is the problem:
"Consider R-D-D with reaction function f: \Re\rightarrow\Re given by
f(u)=(\alpha-u)^{3}u \forall \textsl{u} \in \Re...