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 . . . >