There are many situations where one wants to find a formula that best fits a given set of data. One way to do this in Mathematica is to use Fit. Basic linear fitting. Here is ...

Mathematica has powerful capabilities for explicit signal processing with large volumes of data, imported and exported in many formats, and for symbolic analysis of signal ...

ColorRules is an option for ArrayPlot which specifies how colors of cells should be determined from values.

DataRange is an option for functions such as ListPlot and ListDensityPlot that specifies what range of actual coordinates the data should be assumed to occupy.

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...

Which[test_1, value_1, test_2, value_2, ...] evaluates each of the test_i in turn, returning the value of the value_i corresponding to the first one that yields True.

Mathematica is built to handle arbitrarily large computations—limited only by computer time and memory—and provides a collection of convenient global safety features to ...

NDSolve[eqns, y, {x, x_min, x_max}] finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range ...

Parallelization is an option for Compile that specifies whether it should create a compiled function that could run in parallel.

Animate[expr, {u, u_min, u_max}] generates an animation of expr in which u varies continuously from u_min to u_max. Animate[expr, {u, u_min, u_max, du}] takes u to vary in ...