Defining Your Own Wavelet (Mathematica Tutorial)

You can define wavelets to plug into the wavelet analysis framework by using the correct template. A wavelet wave is of the form wfam[args], where wfam is the symbol that ...

Nonlinear Second-Order ODEs (Mathematica Tutorial)

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

Entering Two-Dimensional Input (Mathematica Tutorial)

When Mathematica reads the text x^y, it interprets it as x raised to the power y. In a notebook, you can also give the two-dimensional input x^y directly. Mathematica again ...

OpenCLLink (OpenCLLink Guide)

OpenCLLink allows Mathematica to use the OpenCL parallel computing language. It contains functions that facilitate loading user-defined OpenCL functions into Mathematica. ...

Interpolation (Built-in Mathematica Symbol)

Interpolation[{f_1, f_2, ...}] constructs an interpolation of the function values f_i, assumed to correspond to x values 1, 2, ... . Interpolation[{{x_1, f_1}, {x_2, f_2}, ...

Create a Matrix (Mathematica How To)

Matrices are represented in Mathematica with lists. They can be entered directly with the { } notation, constructed from a formula, or imported from a data file. Mathematica ...

BinCounts (Built-in Mathematica Symbol)

BinCounts[{x_1, x_2, ...}] counts the number of elements x_i whose values lie in successive integer bins.BinCounts[{x_1, x_2, ...}, dx] counts the number of elements x_i ...

BinLists (Built-in Mathematica Symbol)

BinLists[{x_1, x_2, ...}] gives lists of the elements x_i whose values lie in successive integer bins.BinLists[{x_1, x_2, ...}, dx] gives lists of the elements x_i whose ...

DifferenceRootReduce (Built-in Mathematica Symbol)

DifferenceRootReduce[expr, n] attempts to reduce expr to a single DifferenceRoot object as a function of n.

NestWhileList (Built-in Mathematica Symbol)

NestWhileList[f, expr, test] generates a list of the results of applying f repeatedly, starting with expr, and continuing until applying test to the result no longer yields ...