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Re: question about nest

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg1942] Re: question about nest
• From: Albright <albright at physics.ucla.edu>
• Date: Wed, 23 Aug 1995 22:33:38 -0400
• Organization: UCLA Department of Physics and Astronomy

ORLANDO LUIS GOULART PERES <orlando at axp.ift.unesp.br> wrote:
>Dear Wizards
>
>I have a function with two variables
>f[x_,a_]:=a*x*(1-x)
>And I need the n-compose function
>Nest[f,x,n]
>But Mathematica look for a function f[x] and not f[x,a]
>Is this possible to use Nest with this two variable function?
>For example, I need
>f[x,a], f[f[x,a],a], f[f[f[x,a],a],a] .
>Later I will put many values for "a" .
>Regards
>Orlando Peres
>
>        

Hi.  

You might try something like:

	h[n_] := Nest[g,x,n] //. g[x_] -> f[x,a]

For example:

	In[1]:= h[n_] := Nest[g,x,n] //. g[x_] -> f[x,a]

	In[2]:= h[3]

	Out[2]:= f[f[f[x,a],a],a]

Regards.

-Brian



Brian J. Albright                            
Department of Physics and Astronomy, UCLA   
albright at physics.ucla.edu                  
http://bohm.physics.ucla.edu/~albright