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Mathematica > Data Manipulation > Signal Processing >

TriangleWave

TriangleWave[x]
gives a triangle wave that varies between -1 and +1 with the unit period.

TriangleWave[{min, max}, x]
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:

TriangleWave is periodic with period 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 underfined for complex numbers: