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Re: get a, b from numbers in the form a+b Pi

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Am 22.05.2011 12:58, schrieb 1.156:
> I have lists  of numbers (Mathematica output) all numerically in the 
> form a + b*Pi and I'm trying to extract the values of a and b for 
> further work.
> 
> Here's an example of the best I've been able to do so far:
> 
> nums={1/2 (-2+\[Pi]),-2+(3 \[Pi])/4,-(11/3)+(5 \[Pi])/4,5/48 (-64+21 
> \[Pi]),-(61/5)+(63 \[Pi])/16,-(338/15)+(231 \[Pi])/32};
> {FullForm[#][[1,1]],FullForm[#][[1,2]]/\[Pi]}&/@nums
> 
> When I run this line of code 4 of the six input numbers give me the 
> {a,b} I'm looking for but the first and fourth entries fail because the 
> form isn't right. Possibly I could patch this scheme to look for a small 
> finite set of possibilities of input number form but I suspect I may a 
> long way from attacking this problem correctly.
> 
> Can someone offer some other ideas on how to pull this off? Many thanks 
> for looking at this. Rob

expanding the list nums might help (also adding some special cases):

Expand[Join[nums,{0,1,Pi}]]/.{x_?NumericQ/;FreeQ[x,Pi]:>{x,0},a_. +b_.
Pi:>{a,b}}

gives:
 {{-1,1/2},{-2,3/4},{-(11/3),5/4},{-(20/3),35/16},{-(61/5),63/16},{-(338/15),231/32},{0,0},{1,0},{0,1}}

hth,
Peter

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get a, b from numbers in the form a+b Pi "1.156" <rob@piovere.com> - 2011-05-22 10:58 +0000
  Re: get a, b from numbers in the form a+b Pi "Nasser M. Abbasi" <nma@12000.org> - 2011-05-23 10:26 +0000
  Re: get a, b from numbers in the form a+b Pi Albert Retey <awnl@gmx-topmail.de> - 2011-05-23 10:28 +0000
  Re: get a, b from numbers in the form a+b Pi Wolfgang Windsteiger <Wolfgang.Windsteiger@risc.jku.at> - 2011-05-23 10:28 +0000
  Re: get a, b from numbers in the form a+b Pi Peter Breitfeld <phbrf@t-online.de> - 2011-05-23 10:28 +0000
  Re: get a, b from numbers in the form a+b Pi Peter Pein <petsie@dordos.net> - 2011-05-23 10:29 +0000
  Re: get a, b from numbers in the form a+b Pi Roland Franzius <roland.franzius@uos.de> - 2011-05-23 10:22 +0000
  Re: get a, b from numbers in the form a+b Pi Armand Tamzarian <mike.honeychurch@gmail.com> - 2011-05-23 10:26 +0000
  Re: get a, b from numbers in the form a+b Pi Stefan Salanski <wutchamacallit27@gmail.com> - 2011-05-23 10:23 +0000
  Re: get a, b from numbers in the form a+b Pi Ray Koopman <koopman@sfu.ca> - 2011-05-23 10:23 +0000

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