User:Kvng/sandbox

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

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

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

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

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

^[1]

^[2]

1. https://www.youtube.com/watch?v=Iyzf1EKNyno^{[dead link]}
2. "Foo". Retrieved 2024-12-01.