Alphabetical Listing (Mathematica Guide)

Mathematica has over 3000 built-in functions and other objects, all based on a single unified framework, and all carefully designed to work together, both in simple ...

Eigensystem (Built-in Mathematica Symbol)

Eigensystem[m] gives a list {values, vectors} of the eigenvalues and eigenvectors of the square matrix m. Eigensystem[{m, a}] gives the generalized eigenvalues and ...

LineIntegralConvolutionPlot (Built-in Mathematica Symbol)

LineIntegralConvolutionPlot[{{v_x, v_y}, image}, {x, x_min, x_max}, {y, y_min, y_max}] generates a line integral convolution plot of image convolved with the vector field ...

ListLineIntegralConvolutionPlot (Built-in Mathematica Symbol)

ListLineIntegralConvolutionPlot[{array, image}] generates a line integral convolution plot of image convolved with the vector field defined by an array of vector field ...

ParametricPlot3D (Built-in Mathematica Symbol)

ParametricPlot3D[{f_x, f_y, f_z}, {u, u_min, u_max}] produces a three-dimensional space curve parametrized by a variable u which runs from u_min to u_max. ...

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.

Plot3D (Built-in Mathematica Symbol)

Plot3D[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a three-dimensional plot of f as a function of x and y. Plot3D[{f_1, f_2, ...}, {x, x_min, x_max}, {y, y_min, ...

Manipulate (Built-in Mathematica Symbol)

Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...

ParametricPlot (Built-in Mathematica Symbol)

ParametricPlot[{f_x, f_y}, {u, u_min, u_max}] generates a parametric plot of a curve with x and y coordinates f_x and f_y as a function of u. ParametricPlot[{{f_x, f_y}, ...

StreamPlot (Built-in Mathematica Symbol)

StreamPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y. StreamPlot[{{v_x, v_y}, {w_x, ...