Re: get a, b from numbers in the form a+b Pi
- To: mathgroup at smc.vnet.net
- Subject: [mg119161] Re: get a, b from numbers in the form a+b Pi
- From: Themis Matsoukas <tmatsoukas at me.com>
- Date: Mon, 23 May 2011 06:27:06 -0400 (EDT)
The following is not elegant (quite brute force, really) but does what you want:
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};
a = nums /. \[Pi] -> 0;
b = Expand[(nums - (nums /. \[Pi] -> 0))/\[Pi]];
ab = Transpose[{a, b}]
{{-1, 1/2}, {-2, 3/4}, {-(11/3), 5/4}, {-(20/3), 35/16}, {-(61/5), 63/
16}, {-(338/15), 231/32}}
Themis