Re: What is a good way of returning a function from a Module[]?

• To: mathgroup at smc.vnet.net
• Subject: [mg83387] Re: [mg83287] What is a good way of returning a function from a Module[]?
• From: DrMajorBob <drmajorbob at bigfoot.com>
• Date: Mon, 19 Nov 2007 06:12:56 -0500 (EST)
• References: <27565761.1195340077377.JavaMail.root@m35>

```Module[{a, b}, a = 1; b = a + 1; Function[{c}, Evaluate[a + b + c]]]

Function[{c\$}, 3 + c\$]

Bobby

On Sat, 17 Nov 2007 04:10:37 -0600, Szabolcs Horvát <szhorvat at gmail.com>
wrote:

> What is an elegant way of returning a function from a Module[]?
>
> Module[{a, b}, a = 1; b = a+1; (a+b+#)&] does not work because
> Function[] holds its arguments.
>
> The best way I could find was
>
> Module[{p, q}, p = 1; q = p+1; With[{a = p, b = q}, (a+b+#)&]]
>
> Is there a nicer/more concise way of doing this?  This is a simplified
> example, but the important points are:
>
> 1. The returned function may depend on more than one parameter ('a' and
> 'b'; let's forget that in this case their sum could have been computed
> inside the Module[]).
>
> 2. 'a' and 'b' are not calculated independently.  The value of 'a' is
> needed to find 'b'
>
> Szabolcs
>
>

--
DrMajorBob at bigfoot.com

```

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