NIntegrate Integration Rules (Mathematica Tutorial)

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Applications (CUDALink Tutorial)

Because GPUs are SIMD machines, to exploit CUDA's potential you must pose the problem in an SIMD manner. Computation that can be partitioned in such a way that each thread ...

ListVectorPlot (Built-in Mathematica Symbol)

ListVectorPlot[array] generates a vector plot from an array of vector field values.ListVectorPlot[{{{x_1, y_1}, {vx_1, vy_1}}, ...}] generates a vector plot from vector field ...

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. ...

WaveletMatrixPlot (Built-in Mathematica Symbol)

WaveletMatrixPlot[dwd] plots the basis tree of wavelet matrix coefficients in the DiscreteWaveletData dwd.WaveletMatrixPlot[dwd, r] plots coefficients up to refinement level ...

BreadthFirstScan (Built-in Mathematica Symbol)

BreadthFirstScan[g, s, {"event_1" -> f_1, "event_2" -> f_2, ...}] performs a breadth-first scan (bfs) of the graph g starting at the vertex s and evaluates f_i whenever ...

KernelMixtureDistribution (Built-in Mathematica Symbol)

KernelMixtureDistribution[{x_1, x_2, ...}] represents a kernel mixture distribution based on the data values x_i.KernelMixtureDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...

Sum (Built-in Mathematica Symbol)

Sum[f, {i, i_max}] evaluates the sum \[Sum]i = 1 i_max f. Sum[f, {i, i_min, i_max}] starts with i = i_min. Sum[f, {i, i_min, i_max, di}] uses steps d i. Sum[f, {i, {i_1, i_2, ...

Advanced Dynamic Functionality (Mathematica Tutorial)

"Introduction to Manipulate" and "Introduction to Dynamic" provide most of the information you need to use Mathematica's interactive features accessible through the functions ...

EventLocator Method for NDSolve (Mathematica Tutorial)

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...