SquareWave

SquareWave[x]
gives a square wave that alternates between +1 and -1 with unit period.

gives a square wave that alternates between

and

with unit period.

SquareWave is periodic with period 1:

Out[1]=

SquareWave is periodic with period 1:

Out[1]=

SquareWave of real arguments always returns an exact result of 1, -1, or 0:

SquareWave threads element-wise over lists:

Square wave with specified boundary values:

Square wave sound sample:

Fourier decomposition:

Use FunctionExpand to expand SquareWave in terms of elementary functions:

Use PiecewiseExpand to obtain piecewise representation:

Integration:

SquareWave is only defined on real numbers: