How to make delayed functions from text info

• To: mathgroup at smc.vnet.net
• Subject: [mg81117] How to make delayed functions from text info
• From: P_ter <peter_van_summeren at yahoo.co.uk>
• Date: Thu, 13 Sep 2007 06:23:26 -0400 (EDT)

```Hello,
I have a list like this t1= {{"AA", {15.}, {19.}, 4.}, {"AC", {17.}, {21.}, 4.}}
It means: AA[b_,t_]:= If[15<t<=19,b,0] Etc.
The problem is that I have a few hundred of these elements in a list. But when I do:
(ToExpression[#[[1]]][b_,t_]:= Evaluate[If[#[[2,1]]< t<= #[[3,1]],b,0]])& /@ t1
I get out {Null, Null}, although AA and AC exist with ?AA,?AC
But I want to see these delayed functions in a list:
lst = {AA[b_,t_]:=If[15.<t<=19.,b,0],AC[b_,t_]:=If[17.<t<=21.,b,0]
..}
I would like to say: lst[[1]] and get this delayed function. Is that possible?
Also I wonder if ?(AA,AC) could be done, such that I get all the definitions in a row. Any idea?
with friendly greetings,
P_ter

```

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