MeijerG (Built-in Mathematica Symbol)

MeijerG[{{a_1, ..., a_n}, {a n + 1, ..., a_p}}, {{b_1, ..., b_m}, {b m + 1, ..., b_q}}, z] is the Meijer G function G_p q^m n(z \[VerticalSeparator] {{a_1, ..., a_p}, {b_1, ...

ContourPlot3D (Built-in Mathematica Symbol)

ContourPlot3D[f, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] produces a three-dimensional contour plot of f as a function of x, y, and z. ContourPlot3D[f == g, ...

Table (Built-in Mathematica Symbol)

Table[expr, {i_max}] generates a list of i_max copies of expr. Table[expr, {i, i_max}] generates a list of the values of expr when i runs from 1 to i_max. Table[expr, {i, ...

Sign (Built-in Mathematica Symbol)

Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.

Integrals That Can and Cannot Be Done (Mathematica Tutorial)

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

ReverseBiorthogonalSplineWavelet (Built-in Mathematica Symbol)

ReverseBiorthogonalSplineWavelet[] represents a reverse biorthogonal spline wavelet of order 4 and dual order 2.ReverseBiorthogonalSplineWavelet[n, m] represents a reverse ...

Plot (Built-in Mathematica Symbol)

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

SphericalPlot3D (Built-in Mathematica Symbol)

SphericalPlot3D[r, \[Theta], \[Phi]] generates a 3D plot with a spherical radius r as a function of spherical coordinates \[Theta] and \[Phi].SphericalPlot3D[r, {\[Theta], ...

EllipticE (Built-in Mathematica Symbol)

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).

Conditionals (Mathematica Guide)

Mathematica's symbolic character allows a powerful unification of the notion of conditionals in programming and in mathematics.