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Re: "Cascaded sums"?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59200] Re: [mg59190] "Cascaded sums"?
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 2 Aug 2005 00:42:24 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

This is called the Horner form.  See the documentation with the standard
add-on package Algebra`Horner`


Bob Hanlon


On 8/1/05 1:05 AM, "AES" <siegman at stanford.edu> wrote:

> A Mathematic calculation is yielding a result of the form
> 
>    (x^4 + a (x^3 + a (x^2 + a ( x + a ))))
> 
> for the case n = 4, and analogous results for larger n; and Mathematica
> seems to be able to do some interesting simplifications and factoring of
> these results.
> 
> I'm sure I learned about this form in a math class somewhere along the
> line, but this was 50+ years ago.  Could some kind soul remind me of
> what this form is called, and maybe some of its interesting properties?
> 
> Thanks . . .
> 



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