Show that for every mapping , that there exists a polynomial such that for all

I'm pretty sure Lagrange Interpolation is what is needed here but I'm not sure how to use it.

Printable View

- Nov 4th 2009, 10:23 AMHavenMappings and Polynomials
Show that for every mapping , that there exists a polynomial such that for all

I'm pretty sure Lagrange Interpolation is what is needed here but I'm not sure how to use it. - Nov 4th 2009, 10:51 AMclic-clac
Yes since the sets used are finite with the same cardinal and that is a group for (I assume denotes a prime) you can write something like

, and it is an element of