Test Problems (Mathematica Tutorial)

All the test problems presented in [MGH81] have been coded into Mathematica in the Optimization`UnconstrainedProblems` package. A data structure is used so that the problems ...

Introduction (CUDALink Tutorial)

CUDALink allows Mathematica to use the CUDA parallel computing architecture on Graphical Processing Units (GPUs). It contains functions that use CUDA-enabled GPUs to boost ...

StreamDensityPlot (Built-in Mathematica Symbol)

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

Diophantine Polynomial Systems (Mathematica Tutorial)

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

AdjacencyGraph (Built-in Mathematica Symbol)

AdjacencyGraph[amat] gives the graph with adjacency matrix amat.AdjacencyGraph[{v_1, v_2, ...}, amat] gives the graph with vertices v_i and adjacency matrix amat.

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[{..., ...

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 ...

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, ...

Importing XML (XML Package Tutorial)

You can import XML data into Mathematica using the standard Import function, which has the following syntax. Importing files. The first argument specifies the file to be ...

BattleLemarieWavelet (Built-in Mathematica Symbol)

BattleLemarieWavelet[] represents the Battle-Lemarié wavelet of order 3.BattleLemarieWavelet[n] represents the Battle-Lemarié wavelet of order n evaluated on equally spaced ...