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Re: "Cascaded sums"?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59204] Re: "Cascaded sums"?
  • From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
  • Date: Tue, 2 Aug 2005 00:42:27 -0400 (EDT)
  • References: <dckb96$o4j$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

You are probably thinking of Horner form (which is a bit different from what 
you wrote, but I suspect it is what you meant to write). This is handled by 
the package Algebra`Horner`.

Steve Luttrell

"AES" <siegman at stanford.edu> wrote in message 
news:dckb96$o4j$1 at smc.vnet.net...
>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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