Re:Decomposing a function into its even and odd parts
by hellabites on Saturday July 30, 2016 @02:43PM
(#12194145)
Your algorithm had a bit of a typo--you want to subtract (resp. add) to calculate the odd and even parts of a function.
If you don't have a nearly symmetric span of x values, you may need to do extrapolation to obtain one, which may be difficult.
I brought up Fourier analysis not as a means to replace the decomposition described in the blog, but to connect it. I think it's neat that Fourier transformations can be viewed as a parity decomposition.
Re:Decomposing a function into its even and odd parts
by S4M on Saturday July 30, 2016 @05:56PM
(#12194839)
if your data are over [a,b], where a < 0 and b > 0, you can do the decomposition mentioned in the article over [-c,c], where c = min(|a|,|b|), so you don't need to extrapolate.
If you don't have a nearly symmetric span of x values, you may need to do extrapolation to obtain one, which may be difficult.
I brought up Fourier analysis not as a means to replace the decomposition described in the blog, but to connect it. I think it's neat that Fourier transformations can be viewed as a parity decomposition.