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Re: Functions with data hidden in them

• To: mathgroup at smc.vnet.net
• Subject: [mg82053] Re: Functions with data hidden in them
• From: Neil Stewart <neil.stewart at warwick.ac.uk>
• Date: Wed, 10 Oct 2007 04:33:14 -0400 (EDT)
• Reply-to: Neil Stewart <neil.stewart at warwick.ac.uk>

Thank you to everyone who replied. Szabolcs Horv=E1t sent a simple solution 
http://forums.wolfram.com/mathgroup/archive/2007/Oct/msg00205.html

The data "5" in "power[5]" is hidden inside the "f[]" function:

In[1]:= power[n_][x_] := x^n

In[2]:= Format[power[_]] := "--power--"

In[3]:= f = power[5]
Out[3]= "--power--"

In[4]:= f[2]
Out[4]= 32

DrMajorBob posted a similar solution.
http://forums.wolfram.com/mathgroup/archive/2007/Oct/msg00212.html

Hannes Kessler posted a method that avoids recalculation of intermediate
values.
http://forums.wolfram.com/mathgroup/archive/2007/Oct/msg00224.html

Mark Holt posted a trick with the Button[] function.
http://forums.wolfram.com/mathgroup/archive/2007/Oct/msg00220.html