Re: List Manipulation

*To*: mathgroup at smc.vnet.net*Subject*: [mg72437] Re: List Manipulation*From*: "Ray Koopman" <koopman at sfu.ca>*Date*: Wed, 27 Dec 2006 06:47:29 -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. {A, B} = Transpose[ list /. {ai_ + bi_ * k} -> {ai, bi} ]