Re: Functions, Part 1

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg575] Re: [mg564] Functions, Part 1
• From: hannibal at caesar.physik.uni-oldenburg.de (L. Hannibal)
• Date: Mon, 20 Mar 1995 09:59:00 +0100 (NFT)

```>
> Hi mathgroup:
> 	In trying to understand all the differences between
> f[]  and  Function[]  I ran across something which puzzles me.
> Consider the following:
>
> (1)	f[x_] := x + 1
>
> (2) 	g = Function[x,f[x]]
>
> (3)	h = Function[x,Function[y,y+1]]
>
> Now  g[2]  and  f[2]  output  3  as expected.  But
> h[2] (indeed, h[garbage]) outputs  Function[y,y+1].  What`s going on?
> 	Clearly, I do not understand exactly what happens when one
> uses the notation  Function[x,body][2]  since what I thought happens
> was this:  Every appearance of  x  in the expression "body"  is
> replaced by 2 and then body is evaluated.  In view of (3) this
> surely is not what happens.  Or am I way off base?
> Jack
>
>
Jack,
If x is replaced by 2 in Function[y,y+1], you get Function[y,y+1].
I think what you are looking for is

h=Function[x,Function[y,y+1][x]]

which does agian what you want.

Yours, Ludger

================================================
Ludger Hannibal
Fachbereich Physik
Carl v. Ossietzky Universitaet Oldenburg
D-26111 Oldenburg, Germany
Phone: +49-441-7983461
Fax: +49-441-7983201
e-mail: hannibal at caesar.physik.uni-oldenburg.de
================================================

```

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