UpValues[f] gives a list of transformation rules corresponding to all upvalues defined for the symbol f.

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.

Select the next-higher subexpression by pressing Ctrl+.. Press Ctrl+. repeatedly. Get rid of the contents of an expression and destructure it by pressing Del (or Backspace).

You can tell a lot about what "type" of expression something is by looking at its head. Thus, for example, an integer has head Integer, while a list has head List. In a ...

MIME type: application/pdf Adobe Acrobat format. Standard format for exchanging and archiving multi-page documents. PDF is an acronym for Portable Document Format. Binary ...

GridCreationSettings -> {opt_1 -> val_1, opt_2 -> val_2, ...} is a global option that specifies settings for the Create Table/Matrix dialog.

OutputForm[expr] prints as a two-dimensional representation of expr using only keyboard characters.

Ways to change the overall options for a notebook. This creates a notebook displayed in a 40×30 window with a thin frame. Style options for a notebook.

PolynomialReduce[poly, {poly_1, poly_2, ...}, {x_1, x_2, ...}] yields a list representing a reduction of poly in terms of the poly_i. The list has the form {{a_1, a_2, ...}, ...

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