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$Urgent   (Built-in Mathematica Symbol)
$Urgent gives the list of files and pipes to which urgent output from Mathematica is sent.
$UserBaseDirectory   (Built-in Mathematica Symbol)
$UserBaseDirectory gives the base directory in which user-specific files to be loaded by Mathematica are conventionally placed.
$UserDocumentsDirectory   (Built-in Mathematica Symbol)
$UserDocumentsDirectory gives your default "documents" directory.
$UserName   (Built-in Mathematica Symbol)
$UserName gives the login name of the user who invoked the Mathematica kernel, as recorded by the operating system.
$Version   (Built-in Mathematica Symbol)
$Version is a string that gives the version of the Mathematica kernel you are running.
$VersionNumber   (Built-in Mathematica Symbol)
$VersionNumber is a real number which gives the current Mathematica kernel version number, and increases in successive versions.
Activating Mathematica   (Mathematica Tutorial)
Once the installation of Mathematica 8 is complete, you will be presented with the Wolfram Product Activation dialog. There are three methods to activate Mathematica: online ...
Functions for manipulating elements in explicit lists. This gives a list with x prepended. This inserts x so that it becomes element number 2.
Advanced Topics in Algebra   (Mathematica Overview)
Complex Polynomial Systems Real Polynomial Systems Diophantine Polynomial Systems
Advanced Dynamic Functionality   (Mathematica Tutorial)
"Introduction to Manipulate" and "Introduction to Dynamic" provide most of the information you need to use Mathematica's interactive features accessible through the functions ...
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