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Re: How to delay action of ...[[i]] (Part[...,i]) until

  • To: mathgroup at smc.vnet.net
  • Subject: [mg112263] Re: How to delay action of ...[[i]] (Part[...,i]) until
  • From: Peter Pein <petsie at dordos.net>
  • Date: Tue, 7 Sep 2010 02:01:50 -0400 (EDT)
  • References: <i627rm$9c$1@smc.vnet.net>

Am Mon, 6 Sep 2010 08:13:42 +0000 (UTC)
schrieb Greylander <greylander at gmail.com>:

> Consider the following toy example:
> 
> in> goo[v_] := v.{1, 1}*(3 v)
> in> foo[k_][v_] := goo[v] [[k]]
> 
> in> goo[nnn]
> out> 3 nnn nnn.{1, 1}
> 
> in>foo[1][{2, 3}]
> out>30
> 
> in> foo[2][nnn]
> out>nnn
> 
> Notice how in this last output, because the parameter nnn is
> undefined, [[k]] ends up acting on the structure of the expression in
> goo, but the intuitive behavior would be for evaluation of [[k]] to
> also be delayed.  The output I would like to see is:
> 
> in>foo[2][nnn]
> out> ( 3 nnn nnn.{1,1} ) [[2]]
> in> nnn = {4,5}
>      %
> out> 135
> 
> But of course it does not happen that way.
> 
> I realize that Mathematica is a specification rather than procedural
> language, but surely there is some reasonably elegant way to to delay
> the effect of [[2]] above so it acts on the eventual result of
> goo[nnn] and not on the structure of the expression.
> 
> This is related to my other questions about using NDSolve on dependent
> variables that have arbitrary structure and therefore require some
> kind of indexing.
> 
> There must some basic aspect of the Mathematica language that I have
> missed which makes indexing and list manipulation more intuitive.  (I
> hope!)
> 
> Anyone have any insights?
> 

Hi,

define your functions in a way that they evaluate only when v is a list
of two elements:

In[1]:= goo[v:{v1_,v2_}]:=v.{1,1}*(3 v);
        foo[k_][v:{v1_,v2_}]:=goo[v][[k]];

In[3]:= foo[2][nnn]
Out[3]= foo[2][nnn]

In[4]:= nnn={4,5};
        %%
Out[5]= 135

hth,
Peter


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