Square Wave ○꠹｜appendage｜___｜20260628174208-01-•

Square wave	…
Sine, square, triangle, and sawtooth waveforms	…
General information	…
General definition	$x(t)=4\lfloor t\rfloor -2\lfloor 2t\rfloor +1,2t\notin \mathbb{Z}$
Fields of application	Electronics, synthesizers
Domain, codomain and image	…
Domain	$\mathbb{R}\setminus \left\{\frac{n}{2}\right\},n\in \mathbb{Z}$
Codomain	$\left\{-1,1\right\}$
Basic features	…
Parity	Odd
Period	1
Antiderivative	Triangle wave
Fourier series	$x(t)=\frac{4}{\pi }\sum _{k=1}^{\infty }\frac{1}{2k-1}\sin \left(2\pi \left(2k-1\right)t\right)$

(echo:: @ ᯤ)