3 ms·
I though about a slightly different thing: Fourier series with rational coefficients, which I believe is not the same as simply Q times pi. Sin(x) has nothing t
by wruza 5y ago
I though about a slightly different thing: Fourier series with rational coefficients, which I believe is not the same as simply Q times pi. Sin(x) has nothing to do with pi, apart from the fact it becomes 0 at pi times n, which seems irrelevant. It was based on an assumption that the nature is all-waves, so these components would pack our “synthetic, infinite” R (which we try to get rid of itt) naturally into these waves and then the computation would be left with just coefficients and their relations. The problem of iterations disappears, because instead of collecting a decimal error, we would collect more and more sines, as if they were fundamental, like sort of ‘i’, but many of them. But if you speak and think only sines, then the problem of unfolding them doesn’t exist. sin 3/4x + 1/7 sin 1/3x would be a simplest answer (an “anyternion”), probably written as (1,3/4)+(1/7,1/3) because these are the irreducible resulting wave parameters and sin is just an implied concept.
Anyway, it’s a stupid layman’s theory. I’m pretty sure that a parallel/on-demand digit computation in R-based models is much easier than trying to get rid of philosophically infinite things which in practice do not matter that much.