Function
Usage
• Function[body] or body& is a pure function. The formal parameters are # (or #1), #2, etc. • Function[x, body] is a pure function with a single formal parameter x. • Function[{ , , ... }, body] is a pure function with a list of formal parameters.
Notes
• Example: (# + 1)&[x]  . • When Function[body] or body& is applied to a set of arguments, # (or #1) is replaced by the first argument, #2 by the second, and so on. #0 is replaced by the function itself. • If there are more arguments supplied than #i in the function, the remaining arguments are ignored. • ## stands for the sequence of all arguments supplied. • ##n stands for arguments from number n on. • f[##, ##2]& [x, y, z]  . • Function is analogous to  in LISP or formal logic. • Function has attribute HoldAll. The function body is evaluated only after the formal parameters have been replaced by arguments. • The named formal parameters  in Function[{ , ... }, body] are treated as local, and are renamed $ when necessary to avoid confusion with actual arguments supplied to the function. • Function is treated as a scoping construct (see Section A.3.8). • Function[params, body, { , , ... }] represents a pure function that is to be treated as having attributes  for the purpose of evaluation. • New in Version 1.
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