Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

Tolerance is an option for various numerical options which specifies the tolerance that should be allowed in computing results.

GegenbauerC[n, m, x] gives the Gegenbauer polynomial C_n^(m)(x). GegenbauerC[n, x] gives the renormalized form lim_(m->0) C_n^(m)(x)/m.

Update[symbol] tells Mathematica that hidden changes have been made which could affect values associated with a symbol. Update[] specifies that the value of any symbol could ...

LibraryFunction[args] represents a function that has been loaded from a Wolfram Library.

ButtonSource is an option for the low-level function ButtonBox that specifies the first argument to give to the ButtonFunction for the button when the button is active and is ...

Make Template inserts a template based on a selected function name.

In most cases, you want the head f of a Mathematica expression like f[x] to be a single symbol. There are, however, some important applications of heads that are not symbols. ...

Head[expr] gives the head of expr.