Recent content by errordude

Hi! I've studied ODE's but not Partials DE. in ODE one uses linearization method to linearize an non-linear system of equations. My question is: The method of finding normal coordinates for say, a dynamical system, is that the correspondent of the method i described above but for...

you were right LC, b_1 was the crucial step. thanx

Hey man chill. b_1=1/2 that was the problem.

halloo?? any1 who knows this Fourier series f(t)={0 for -π<t<0 and sint for 0≤t≤π}

That's what i was thinking \frac{1}{\pi}\int_{-\pi}^{\pi}f(t)\sin(nt) dt = \frac{1}{\pi}\int_{-\pi}^{0} 0· dt+\frac{1}{\pi}\int_{0}^{\pi}\sin(t)\sin(nt) dt but the above is zero! i'm doing something wrong.

no but that just get to zero

Homework Statement Hi i would just like some fast hints, I'm doing the integrals wrong, I am splitting up the integral below and get the wrong answer. well it's about finding the Fourier series for f(t)={0 for -π<t<0 and sint for 0≤t≤π} Homework Equations a_{n} =...

lol

wow this must be slowest forum on the face of the planet

? ?

suppose, s_{n}(f;t) = \sum_{k=-n}^{n}\widehat{f}(k)e^{ikt} and \sigma_{N}(f;t)= \frac{1}{N+1}\sum_{n=0}^{N}s_{n}(f;t). how do i get from this \sigma_{N}(f;t)= \frac{1}{N+1}\sum_{n=0}^{N}s_{n}(f;t). to this \sigma_{N}(f;t)= \sum_{n=-N}^{N}(1-\frac{|n|}{N+1})\widehat{f}(n)e^{int}...

yeah i know the def of Cesaro sums.

well i know how to write e^t as a 2π periodic Fourier series but then what?

u guys are worse than me

Hi i tried in the other section with no luck. Let me try here if there are anyone here that can help me. the question is: Suppose one catches in 5000-Na atoms in a spherical-shaped cloud with diameter of 2mm. And suppose that the atoms are uniformly distributed in that sphere. At what...