When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...

FormatType is an option for output streams, graphics, and functions such as Text that specifies the default format type to use when outputting expressions.

StreamPoints is an option to StreamPlot, ListStreamPlot, and related functions that determines how many streamlines to draw.

This tutorial contains simple examples of DatabaseLink that give an overview of its functionality and some ideas of how to get started. It uses a lightweight database, ...

WaveletFilterCoefficients[wave, filt] gives the filter coefficients for the symbolic wavelet wave of type filt.

StationaryWaveletTransform[data] gives the stationary wavelet transform (SWT) of an array of data.StationaryWaveletTransform[data, wave] gives the stationary wavelet ...

InverseFourierCoefficient[expr, n, t] gives the function of t whose Fourier exponential series representation has coefficients given by expr, where expr is a function of n.

MakeBoxes[expr, form] is the low-level function used in Mathematica sessions to convert expressions into boxes. MakeBoxes[expr] is the function to convert expr to ...

Mathematica provides convenient functions and algorithms for manipulating colors in images, with full generality for arbitrary numbers of color channels.

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...