Help on Collecting Integers
- To: mathgroup at smc.vnet.net
- Subject: [mg91622] Help on Collecting Integers
- From: sergio_r at mail.com
- Date: Fri, 29 Aug 2008 04:25:21 -0400 (EDT)
Hello Mathematica users,
(*****
After an iterative process, I am obtaining the following expression
a0 + b0
------- + c0
a0 + b0 a0 + b0 2
------- + c0 ------- + ------------
2 2 2
------------ + ----------------------
2 2
Out[69]= -------------------------------------
2
or in its InputForm:
*********)
b[4]=(((a0 + b0)/2 + c0)/2 + ((a0 + b0)/2 + ((a0 + b0)/2 + c0)/2)/
2)/2
(****
In order to analyze the fractional sequence of the symbols a0, b0, and
c0 (for instance to see if the iterative process leads to a convergent
sum), I am wondering if I could use Mathematica to
Collect the terms corresponding to a0, b0, and c0 in the
form (I did this by hand from the previous expression):
1 1 1 1 1 1 1 1
a0 (- + - + --) + b0 (- + - + --) + c0 (- + -)
8 8 16 8 8 16 4 8
****)
Thanks in advance,
Sergio
sergio_r at mail.com@mail.com