$InputFileName is a global variable whose value is the absolute file name of the input file from which input to Mathematica is currently being sought.

In order to write the most general Mathematica programs you will sometimes need to find out global information about the setup under which your program is being run. Thus, ...

Many SQL databases can be configured to require a username and password when a connection is made. This is useful for preventing unwanted access and restricting the range of ...

Distribute[f[x_1, x_2, ...]] distributes f over Plus appearing in any of the x_i. Distribute[expr, g] distributes over g. Distribute[expr, g, f] performs the distribution ...

InputForm[expr] prints as a version of expr suitable for input to Mathematica.

LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).

Nest[f, expr, n] gives an expression with f applied n times to expr.

NestWhile[f, expr, test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. NestWhile[f, expr, test, m] supplies the most ...

StandardForm[expr] prints as the standard Mathematica two-dimensional representation of expr.

StringPosition["string", " sub"] gives a list of the starting and ending character positions at which " sub" appears as a substring of " string". StringPosition["string", ...