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MathGroup Archive 2006

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Re: Re: List Manipulation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72451] Re: [mg72425] Re: List Manipulation
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Thu, 28 Dec 2006 05:27:58 -0500 (EST)
  • References: <emo866$g29$1@smc.vnet.net> <200612271059.FAA21974@smc.vnet.net>

Note that there are many cases for which this will not work, e.g.


{5*k, 6, 78+4I*k+12*k} /.{a_+b_*k->{a,b}}


{5 k,6,{78,12+4*I}}

Andrzej Kozlowski


On 27 Dec 2006, at 19:59, Arkadiusz.Majka at gmail.com wrote:

> In[13]:=
> {2+5*k, 6+2*k, 78+12*k} /.{a_+b_*k->{a,b}}
>
> Out[13]=
> {{2,5},{6,2},{78,12}}
>
> A.
>
>
>
> Stratocaster napisal(a):
>> 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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