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RE: 2nd level pure function

• To: mathgroup@smc.vnet.net
• Subject: [mg11061] RE: [mg10948] 2nd level pure function
• From: Ersek_Ted%PAX1A@mr.nawcad.navy.mil
• Date: Wed, 18 Feb 1998 20:32:15 -0500

Nathan wrote:
|
|I am having a problem with explicit functions.  I am trying to write a
|procedure that returns a function that returns a function.  I would
|like to have it return this as a pure function.  I am not sure how to
|do this.
|
|I will state this problem another way; I know that if f[a]=4+a, then as
|a pure function, f is analagous to Function[4 + Slot[1]].  I want to
|know how to represent f as a pure function when f[a][b]=a+b; |
|Nathan Linger
|Sophomore
|University of Illinois
|

This should help:

In[1]:=
f=Function[a,a+4];

In[2]:=
f[t]

Out[2]=
4+t

In[3]:=
g=Function[x,Sqrt[x+1]/f[x]];

In[4]:=
g[t]

Out[4]=
Sqrt[1 + t]/(4 + t)


Ted Ersek