Hi, I would like to get the coefficient of polynomial expansion. For example, (1+ x)^2 = 1 + 2x + x^2, and the coefficients are 1, 2 and 1. (1 + x + x^2)^3 = 1 + 3*x + 6*x^2 + 7*x^3 + 6*x^4 + 3*x^5 + x^6, and the coefficients are 1, 3, 6, 7, 6, 3, and 1. I know that we can use polynom library. Is there any other way to do it without loading a library. Thanks a lot for your help. Peter
coefficient of polynomial expansion
3 messages · Peter Yang, Gabor Grothendieck, Martin Maechler
On 8/8/05, Peter Yang <peterwyang at gmail.com> wrote:
Hi, I would like to get the coefficient of polynomial expansion. For example, (1+ x)^2 = 1 + 2x + x^2, and the coefficients are 1, 2 and 1. (1 + x + x^2)^3 = 1 + 3*x + 6*x^2 + 7*x^3 + 6*x^4 + 3*x^5 + x^6, and the coefficients are 1, 3, 6, 7, 6, 3, and 1.
Use symbolic differentiation as in: https://stat.ethz.ch/pipermail/r-help/2004-December/060797.html
"Peter" == Peter Yang <peterwyang at gmail.com>
on Mon, 8 Aug 2005 09:11:47 -0400 writes:
Peter> Hi, I would like to get the coefficient of polynomial
Peter> expansion. For example,
Peter> (1+ x)^2 = 1 + 2x + x^2, and the coefficients are 1,
Peter> 2 and 1. (1 + x + x^2)^3 = 1 + 3*x + 6*x^2 + 7*x^3 +
Peter> 6*x^4 + 3*x^5 + x^6, and the coefficients are 1, 3,
Peter> 6, 7, 6, 3, and 1.
Peter> I know that we can use polynom library. Is there any
Peter> other way to do it without loading a library.
yes, load the polynom *package* (from the library where the
--------- *package* is installed)
What's bad about using polynom? IMO it is very nice, very useful
package for the purpose it was written.
Using packages for tasks they were written is one of the
strengths of the R project,
so why are you reluctant?
Martin