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MathGroup Archive 2007

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Re: pure function to generate a list of integrals

  • To: mathgroup at smc.vnet.net
  • Subject: [mg77090] Re: pure function to generate a list of integrals
  • From: Bill Rowe <readnewsciv at sbcglobal.net>
  • Date: Sun, 3 Jun 2007 06:10:37 -0400 (EDT)

On 6/2/07 at 4:17 AM, ruth.lazkoz at ehu.es (Ruth Lazkoz Saez) wrote:

>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}]}

This will do the trick

f = #1 Block[{x}, NIntegrate[x, {x, 0, #}] & /@ #2] &;

Checking:

In[14]:= f[2, {0.1, 0.5, 0.9}]

Out[14]= {0.01,0.25,0.81}

In[15]:= f[3, {0.1, 0.5, 0.9}]

Out[15]= {0.015,0.375,1.215}
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