A straight line (y=x) can be written as a sum over sinusoids, known as a Fourier Series.pic.twitter.com/Obii1qd62T
Show this thread
-
Am I the only one seen those wild curves at both ends of this "straight line"?
No they’re there. The two points in the end are fixed by the boundary conditions to be zero, but if we go out further in the series we’ll start to see them calm down. What will be leftover is a little spike that’s impossible to get rid of, the name of which I can’t recall atm
-
-
It's the Gibbs Phenomenon! The series only converges on the interior of the domain, with these funky discontinuities on the endpoints.
-
This Tweet is unavailable.
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.