Re: Converting a mapping into a well-defined function

• To: mathgroup at smc.vnet.net
• Subject: [mg56533] Re: [mg56499] Converting a mapping into a well-defined function
• From: Sseziwa Mukasa <mukasa at jeol.com>
• Date: Thu, 28 Apr 2005 02:40:28 -0400 (EDT)
• References: <200504270153.VAA01768@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```On Apr 26, 2005, at 9:53 PM, Gilmar wrote:

> Dear Mathematica User Friends:
>
> I need to build a module that takes a non-empty set A
> (whose elements are 2-tuples), and appends (or not) those 2-tuples
> to a set B  according to the following criteria:
>
> if A defines a mapping:
>
> A(a)=5, A(b)=27, A(a)=14, A(c)=4, A(e)=94, A(b)=6, A(d)=9, A(e)=4
>
> them the module converts the mapping A into a well-defined function:
>
> A(a)=5, A(b)=27, A(c)=4, A(d)=9, A(e)=94.
>
> Thank you for your help

You could try

module[a_]:=First[First[#]]&/
@Split[Sort[Transpose[{a,Range[Length[a]]}],OrderedQ[{{#1[[1,1]],#1[[2]]
},{#2[[1,1]],#2[[2]]}}]&],#1[[1,1]]==#2[[1,1]]&]

Regards,

Ssezi

```

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