Compiling Mathematica Expressions (Mathematica Tutorial)

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

SetPrecision (Built-in Mathematica Symbol)

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

BarChart3D (Built-in Mathematica Symbol)

BarChart3D[{y_1, y_2, ...}] makes a 3D bar chart with bar lengths y_1, y_2, ....BarChart3D[{..., w_i[y_i, ...], ..., w_j[y_j, ...], ...}] makes a 3D bar chart with bar ...

VectorDensityPlot (Built-in Mathematica Symbol)

VectorDensityPlot[{{v_x, v_y}, s}, {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, superimposed on a ...

CandlestickChart (Built-in Mathematica Symbol)

CandlestickChart[{{date_1, {open_1, high_1, low_1, close_1}}, ...}] makes a chart with candles representing open, high, low, and close prices for each date. ...

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 ...

PathGraph (Built-in Mathematica Symbol)

PathGraph[{v_1, v_2, ...}] yields a path with vertices v_i and edges between v_i and v i +\[ThinSpace]1 .PathGraph[{e_1, e_2, ...}] yields a path with edges ...

ParallelMap (Built-in Mathematica Symbol)

ParallelMap[f, expr] applies f in parallel to each element on the first level in expr.ParallelMap[f, expr, levelspec] applies f in parallel to parts of expr specified by ...

ZTransform (Built-in Mathematica Symbol)

ZTransform[expr, n, z] gives the Z transform of expr. ZTransform[expr, {n_1, n_2, ...}, {z_1, z_2, ...}] gives the multidimensional Z transform of expr.

Numerical Solution of Boundary Value ... (Mathematica Tutorial)

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...