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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119127] get a, b from numbers in the form a+b Pi
  • From: "1.156" <rob at piovere.com>
  • Date: Sun, 22 May 2011 06:57:08 -0400 (EDT)

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
-- 
Sent from my plain desktop PC.


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