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, ...

Expectation (Built-in Mathematica Symbol)

Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...

LiftingWaveletTransform (Built-in Mathematica Symbol)

LiftingWaveletTransform[data] gives the lifting wavelet transform (LWT) of an array of data.LiftingWaveletTransform[data, wave] gives the lifting wavelet transform using the ...

LinearModelFit (Built-in Mathematica Symbol)

LinearModelFit[{y_1, y_2, ...}, {f_1, f_2, ...}, x] constructs a linear model of the form \[Beta]_0 + \[Beta]_1 f_1 + \[Beta]_2 f_2 + ... that fits the y_i for successive x ...

VectorPlot (Built-in Mathematica Symbol)

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

Basic Examples of Web Services (WebServices Tutorial)

Often a web service requires using data other than a simple string. This data could be something simple like an integer or a real. Often the data is more complex and is a ...

BubbleChart3D (Built-in Mathematica Symbol)

BubbleChart3D[{{x_1, y_1, z_1, u_1}, {x_2, y_2, z_2, u_2}, ...}] makes a 3D bubble chart with bubbles at positions {x_i, y_i, z_i} with sizes u_i.BubbleChart3D[{..., ...

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 ...

MixtureDistribution (Built-in Mathematica Symbol)

MixtureDistribution[{w_1, ..., w_n}, {dist_1, ..., dist_n}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions dist_i, ...

Product (Built-in Mathematica Symbol)

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...