DensityPlot (Built-in Mathematica Symbol)

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.

RevolutionPlot3D (Built-in Mathematica Symbol)

RevolutionPlot3D[f_z, {t, t_min, t_max}] generates a plot of the surface of revolution with height f_z at radius t.RevolutionPlot3D[f_z, {t, t_min, t_max}, {\[Theta], ...

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], ...

DiscretePlot (Built-in Mathematica Symbol)

DiscretePlot[expr, {n, n_max}] generates a plot of the values of expr when n runs from 1 to n_max.DiscretePlot[expr, {n, n_min, n_max}] generates a plot of the values of expr ...

ListVectorPlot3D (Built-in Mathematica Symbol)

ListVectorPlot3D[array] generates a 3D vector plot from a 3D array of vector field values.ListVectorPlot3D[{{{x_1, y_1, z_1}, {vx_1, vy_1, vz_1}}, ...}] generates a 3D vector ...

Sphere (Built-in Mathematica Symbol)

Sphere[{x, y, z}, r] represents a sphere of radius r centered at (x, y, z). Sphere[{x, y, z}] represents a sphere of radius 1. Sphere[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}, ...

Union (Built-in Mathematica Symbol)

Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

InterpolateRoot (Function Approximations Package Symbol)

InterpolateRoot[lhs == rhs, {x, x_0, x_1}] searches for a numerical solution to the equation lhs == rhs using x_0 and x_1 as the first two values of x.

FindArgMax (Built-in Mathematica Symbol)

FindArgMax[f, x] gives the position x_max of a local maximum of f.FindArgMax[f, {x, x_0}] gives the position x_max of a local maximum of f, found by a search starting from ...

FindArgMin (Built-in Mathematica Symbol)

FindArgMin[f, x] gives the position x_min of a local minimum of f.FindArgMin[f, {x, x_0}] gives the position x_min of a local minimum of f, found by a search starting from ...