Science Fair Project Encyclopedia
Solution set
In mathematics, a solution set for a collection of polynomials {fi} over some ring R is defined to be the set 
.
Examples
1. The solution set of f(x): = x over the real numbers is the set {0}.
2. For any non-zero polynomial f over the complex numbers in one variable, the solution set is made up of finitely many points. However, for a complex polynomial in more than one variable the solution set has no isolated points.
Remarks
In algebraic geometry solution sets are used to define the Zariski topology. See affine varieties.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details