RE: List Manipulation

*To*: mathgroup at smc.vnet.net*Subject*: [mg72432] RE: [mg72407] List Manipulation*From*: "David Park" <djmp at earthlink.net>*Date*: Wed, 27 Dec 2006 06:27:23 -0500 (EST)

Two methods... list = {a1 + b1*k, a2 + b2*k, a3 + b3*k}; {Alist, Blist} = list /. a_ + b_ k -> {a, b} // Transpose {{a1, a2, a3}, {b1, b2, b3}} {Alist, Blist} = CoefficientList[#, k] & /@ list // Transpose {{a1, a2, a3}, {b1, b2, b3}} David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Stratocaster [mailto:stotz1 at verizon.net] 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.