VariationalBound (Variational Methods Package Symbol)

VariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a}, {b}, ...] finds values of the parameters a, b, ... of a trial function u_t that extremize the functional ...

The Representation of Sound (Mathematica Tutorial)

"Sound" describes how you can take functions and lists of data and produce sounds from them. Here we discuss how sounds are represented in Mathematica. Mathematica treats ...

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, ...

FactorialPower (Built-in Mathematica Symbol)

FactorialPower[x, n] gives the factorial power x (n). FactorialPower[x, n, h] gives the step-h factorial power x (n, h).

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. ...

Statistical Visualization (Mathematica Guide)

Statistical visualization is used to understand how data is distributed and how that compares to other datasets and distributions. Histograms and smooth histograms both ...

Developer Utilities Package (Developer Package Guide)

The Developer Utilities Package includes functions that directly access specific internal algorithms and capabilities of Mathematica that are normally used only as part of ...

BitAnd (Built-in Mathematica Symbol)

BitAnd[n_1, n_2, ...] gives the bitwise AND of the integers n_i.

TakeWhile (Built-in Mathematica Symbol)

TakeWhile[list, crit] gives elements e_i from the beginning of list, continuing so long as crit[e_i] is True.

Manipulating Expressions in External ... (Mathematica Tutorial)

Mathematica expressions provide a very general way to handle all kinds of data, and you may sometimes want to use such expressions inside your external programs. A language ...