Introduction to Advanced Numerical ... (Mathematica Tutorial)

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

Components and Data Structures (Mathematica Tutorial)

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...

DiscreteWaveletTransform (Built-in Mathematica Symbol)

DiscreteWaveletTransform[data] gives the discrete wavelet transform (DWT) of an array of data.DiscreteWaveletTransform[data, wave] gives the discrete wavelet transform using ...

ExampleData (Built-in Mathematica Symbol)

ExampleData["type"] gives a list of names of examples of the specified type.ExampleData[{" type", " name"}] gives the default form of the named example of the specified ...

WaveletScalogram (Built-in Mathematica Symbol)

WaveletScalogram[wd] plots wavelet vector coefficients in a DiscreteWaveletData or ContinuousWaveletData object wd.WaveletScalogram[wd, wind] plots wavelet coefficients ...

Exact Global Optimization (Mathematica Tutorial)

Exact global optimization problems can be solved exactly using Minimize and Maximize. This computes the radius of the circle, centered at the origin, circumscribed about the ...

Image Processing (Mathematica Tutorial)

Mathematica provides built-in support for both programmatic and interactive image processing, fully integrated with Mathematica's powerful mathematical and algorithmic ...

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 ...

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, ...

Grids, Rows, and Columns in Mathematica (Mathematica Tutorial)

Mathematica provides a broad range of powerful constructs for laying out content on a screen or page. They are designed to be immediately useful for the beginner, yet also ...