MathGroup Archive 2006

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List Manipulation


I'm not sure if the following is possible or whether it exists somewhere 
between the realms of fantasy and science fiction.  I have been unable to do 
it.

Given a list, set, vector (whatever you want to call it) consisting of 
functions of the same variable, i.e.

list = {a1+b1*k, a2+b2*k, a3+b3*k...}

Assuming they are all linear (of the form a+b*k) is there away to isolate 
the a_i and b_i values?  Essentially I would like to get a list "A" 
consisting of all the intercept values, and a list "B" consisting of all the 
slope values.

Is this possible?  What kind of operations do I need to use to accomplish 
this (if indeed it is possible)?

Thanks for any insights.


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