NDSolve returns solutions as InterpolatingFunction objects. Most of the time, simply using these as functions does what is needed, but occasionally it is useful to access the ...

The single command Manipulate lets you create an astonishing range of interactive applications with just a few lines of input. Manipulate is designed to be used by anyone who ...

The Mathematica compiler can run computations in parallel. It does this by threading a compiled function over lists of data in parallel. A first step is to create a compiled ...

DensityPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] makes a density plot of f as a function of x and y.

FindFit[data, expr, pars, vars] finds numerical values of the parameters pars that make expr give a best fit to data as a function of vars. The data can have the form {{x_1, ...

Introduction to J/Link Calling Java from Mathematica Writing Java Programs That Use Mathematica

NDSolve uses norms of error estimates to determine when solutions satisfy error tolerances. In nearly all cases the norm has been weighted, or scaled, such that it is less ...

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

DiscreteWaveletPacketTransform[data] gives the discrete wavelet packet transform (DWPT) of an array of data.DiscreteWaveletPacketTransform[data, wave] gives the discrete ...

BarChart[{y_1, y_2, ...}] makes a bar chart with bar lengths y_1, y_2, ....BarChart[{..., w_i[y_i, ...], ..., w_j[y_j, ...], ...}] makes a bar chart with bar features defined ...