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MathGroup Archive 2006

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Re: List Manipulation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72438] Re: List Manipulation
  • From: "Ray Koopman" <koopman at sfu.ca>
  • Date: Wed, 27 Dec 2006 06:51:31 -0500 (EST)
  • References: <emo866$g29$1@smc.vnet.net>

Stratocaster wrote:
> 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.

Oops, make that {A, B} = Transpose[list /. ai_ + bi_ * k -> {ai, bi}]


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