Verbatim[expr] represents expr in pattern matching, requiring that expr be matched exactly as it appears, with no substitutions for blanks or other transformations.

ViewCenter is an option for Graphics3D and related functions which gives the scaled coordinates of the point which should appear at the center of the final image.

$BatchInput is True if input in the current session is being fed directly to the Mathematica kernel in batch mode.

$MessageList is a global variable that gives a list of the names of messages generated during the evaluation of the current input line.

$ModuleNumber gives the current serial number to be used for local variables that are created.

Making lists from functions. This makes a list of 5 elements, each of the form p[i]. Here is another way to produce the same list.

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

Converting power series to normal expressions. Power series in Mathematica are represented in a special internal form, which keeps track of such attributes as their expansion ...

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

The differential equations that arise in practice are of two types. Here is an example of the first type. Here is an example of the second type. This equation has a symbolic ...