ContinuousWaveletTransform[{x_1, x_2, ...}] gives the continuous wavelet transform of a list of values x_i.ContinuousWaveletTransform[data, wave] gives the continuous wavelet ...

Mathematica not only has systemwide support for arbitrary Unicode characters, but also includes nearly a thousand carefully designed characters for mathematical notation and ...

Density and contour plots. This gives a density plot of sin(x) sin(y). Lighter regions show higher values of the function. Some options for DensityPlot.

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

A foundational idea in Mathematica is that all expressions—whatever they may represent—ultimately have a uniform tree-like structure.

SingularValuePlot[m] gives the singular value plot of a matrix m of rational functions in one complex variable.SingularValuePlot[sys] gives the singular value plot of a ...

InverseLaplaceTransform[expr, s, t] gives the inverse Laplace transform of expr. InverseLaplaceTransform[expr, {s_1, s_2, ...}, {t_1, t_2, ...}] gives the multidimensional ...

HazardFunction[dist, x] gives the hazard function for the symbolic distribution dist evaluated at x.HazardFunction[dist, {x_1, x_2, ...}] gives the multivariate hazard ...

WaveletPhi[wave, x] gives the scaling function \[Phi](x) for the symbolic wavelet wave evaluated at x.WaveletPhi[wave] gives the scaling function as a pure function.

ShannonWavelet[] represents the Shannon wavelet evaluated on the equally spaced interval {-10, 10}. ShannonWavelet[lim] represents the Shannon wavelet evaluated on the ...