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 a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

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 ...

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

PrivateFontOptions -> {opt_1 -> val_1, opt_2 -> val_2, ...} is an option for selections that specifies settings for various font suboptions.

UsingFrontEnd[expr] evaluates expr, making use of a front end if necessary.

Message[symbol::tag] prints the message symbol::tag unless it has been switched off. Message[symbol::tag, e_1, e_2, ...] prints a message, inserting the values of the e_i as ...

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}, ...

The functional and list-oriented characteristics of the core Mathematica language allow Mathematica to provide immediate built-in data parallelism, automatically distributing ...