Mathematica can represent not only data and programs, but also the execution history of programs, as symbolic expressions—which can be displayed, manipulated, and analyzed ...

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

LibraryFunctionInformation[fun] returns information about a LibraryFunction.

A core activity in exploratory experimental mathematics is recognition of numbers: going backward from a number to find out how it can be generated. Mathematica provides ...

Hyperfactorial[n] gives the hyperfactorial function H(n).

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

StackInhibit[expr] evaluates expr without modifying the evaluation stack.

$LibraryPath gives the default list of directories to search in attempting to find a library.

In many cases, you will find it convenient to communicate with external programs at a high level, and to exchange structured data with them. On almost all computer systems, ...

HypergeometricPFQ[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the generalized hypergeometric function \[Null]_p F_q (a; b; z).