TriangleWave

TriangleWave[x]
gives a triangle wave that varies between

and

with the unit period.

gives a triangle wave that varies between min and max with the unit period.

Generate a triangular wave:

TriangleWave is periodic with period 1:

Generate a triangular wave:

Out[1]=

TriangleWave is periodic with period 1:

Out[1]=

Evaluate numerically:

Evaluate exactly:

Evaluate to arbitrary precision:

The precision of the output tracks the precision of the input:

TriangleWave threads element-wise over lists:

Generate a shifted triangular wave:

Coefficients of Fourier series:

Explicit Fourier series approximant:

Plot the residue term:

Triangle wave sound sample:

Use FunctionExpand to expand TriangleWave in terms of elementary functions:

Use PiecewiseExpand to obtain piecewise representation on an interval:

TriangleWave is undefined for complex numbers: