User:Kvng/sandbox

$rms={\sqrt {{\frac {1}{n}}\left(x_{1}^{2}+x_{2}^{2}+\cdots +x_{n}^{2}\right)}}$

$rms_{n}^{2}=rms_{n-1}^{2}+\alpha (x_{n}^{2}-rms_{n-1}^{2})$

$peak_{n}=\alpha \times peak_{n-1}$

$\color {White}e^{x}=\sum _{n=0}^{\infty }{\frac {x^{n}}{n!}}=1+x+{\frac {x^{2}}{2!}}+{\frac {x^{3}}{3!}}+\cdots$

$\color {White}\sin x=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2n+1)!}}x^{2n+1}=x-{\frac {x^{3}}{3!}}+{\frac {x^{5}}{5!}}-\cdots$