Re: Indexed Slot in a Rule - How to do it??

• To: mathgroup at smc.vnet.net
• Subject: [mg100404] Re: Indexed Slot in a Rule - How to do it??
• From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
• Date: Tue, 2 Jun 2009 06:49:16 -0400 (EDT)

```Here's the problem.  Convert a vector (list) with symbol names into
indexed slots.  I'm doing this so that I can turn the vector into
function that takes a list.  Here's an example of the desired
behavior:

eqs = {0, 5*x1, 1, 10*x3, 3*x2};

convert this to:

indexedeqs = {0, 5*#[[1]], 1, 10*#[[3]], 3*#[[2]]};

T[q_]:=indexedeqs;

T[{1,2,3}] = {0,5,1,30,6}

I can't for the life of me figure out how to do this.  I've been
performing meta-Mathematica all week.  Here's the closest I've come:

xvars={x1,x2,x3};
MapIndexed[Rule[#1, #[[First@#2]]] &, xvars]

But, this treats the second # literally, and puts in the current item
from xvars.  I need a way for the second # to just be # without it
really taking a value.

So, I tried doing it as a string:
xvars={x1,x2,x3};
MapIndexed[Rule[#1, "#[[" <> ToString[First@#2] <> "]]"] &, xvars]

And this creates a rule that looks correct, but, its right hand side
of the rule is a string instead of an expression.

I can't figure this out!!!  Any help is greatly appreciated.

All the best,
Alan

Hi, Alan,
try one of these two ways:

In[10]:= T1[q_List] := {0, 5*q[[1]], 1, 10*q[[3]], 3*q[[2]]};

T1[{1, 2, 3}]

Out[4]= {0, 5, 1, 30, 6}

In[7]:= T2 := {0, 5*#[[1]], 1, 10*#[[3]], 3*#[[2]]} &;

In[9]:= T2[{1, 2, 3}]

Out[9]= {0, 5, 1, 30, 6}

Best, Alexei

--
Alexei Boulbitch, Dr., habil.
Senior Scientist

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