RootSum (Built-in Mathematica Symbol)

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

NLimit (Numerical Calculus Package Symbol)

NLimit[expr, z -> z_0] numerically finds the limiting value of expr as z approaches z_0.

RegionPlot3D (Built-in Mathematica Symbol)

RegionPlot3D[pred, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] makes a plot showing the three-dimensional region in which pred is True.

RegionPlot (Built-in Mathematica Symbol)

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

CharacteristicFunction (Built-in Mathematica Symbol)

CharacteristicFunction[dist, t] gives the characteristic function for the symbolic distribution dist as a function of the variable t.CharacteristicFunction[dist, {t_1, t_2, ...

Coth (Built-in Mathematica Symbol)

Coth[z] gives the hyperbolic cotangent of z.

EllipticPi (Built-in Mathematica Symbol)

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...

EllipticTheta (Built-in Mathematica Symbol)

EllipticTheta[a, u, q] gives the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).

ShannonWavelet (Built-in Mathematica Symbol)

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