simple.
s i n ( x π ) {\displaystyle sin(x\pi )}
created by summing up all of the harmonics.
thing
∑ n = 1 ∞ sin ( x n τ ) n {\displaystyle \sum _{n=1}^{\infty }{\frac {\sin \left(xn\tau \right)}{n}}}
created by summing up all of the odd harmonics.
∑ n = 1 ∞ sin ( x ( n ∗ 2 − 1 ) τ ) n ∗ 2 − 1 {\displaystyle \sum _{n=1}^{\infty }{\frac {\sin \left(x(n*2-1)\tau \right)}{n*2-1}}}
i didn't know how to do this using ∑ {\displaystyle \sum} , so here's this.
arcsin ( sin ( x ) ) {\displaystyle \arcsin(\sin(x))}
, so here's this.
