Re: pure function to generate a list of integrals

• To: mathgroup at smc.vnet.net
• Subject: [mg77101] Re: pure function to generate a list of integrals
• From: "Sem" <sarner2006-sem at yahoo.it>
• Date: Sun, 3 Jun 2007 06:16:20 -0400 (EDT)
• References: <f3r9er\$19e\$1@smc.vnet.net>

```Hi,

f[n_, l_List] := Table[NIntegrate[n x, {x, 0, #}] & /@ l];

?

HTH,
Sem

"Ruth Lazkoz Saez" <ruth.lazkoz at ehu.es>
news:f3r9er\$19e\$1 at smc.vnet.net...
> Hi everyone,
>
> I am trying to brush up a long code I have to make it more compliant
> with the spirit of functional programming. I do not like to hear that
> the kind of calculations I do should run faster in C, because I suspect
> that if I managed to write good code in Mathematica it should be as
> fast. So I have to go and improve my code chunk by chunk.
>
> My first problem is that I want to generate a pure function say f,
> which, so that f[2, {0.1, 0.5, 0.9}] gives me the same output as
>
> {NIntegrate[2x, {x, 0, 0.1}], NIntegrate[2x, {x, 0, 0.5}],
>   NIntegrate[2x, {x, 0, 0.9}]}
>
> That is, I want to generate a list of numerical integrals of the same
> function but making one of the integration limits change by taking
> values from a list.
>
> I also want my function to admit two arguments (a number and a list)
> because I want to be able to use the same definition to generate the
> same output as for instance
>
>
> {NIntegrate[3x, {x, 0, 0.1}], NIntegrate[3x, {x, 0, 0.5}],
>   NIntegrate[3x, {x, 0, 0.9}]}
>
> by evaluating f[3, {0.1, 0.5, 0.9}] this time.
>
> I tried for quite a while, but I failed. I suspect one of the problems
> is NIntegrate is not listable. I could make some progress with  Map but
> I only what halfway and on top I was not satisfied with the syntax I
> would have to use.
>