Unisolvent point set
In approximation theory, a finite collection of points is often called unisolvent for a space if any element is uniquely determined by its values on.
is unisolvent for if there exists a unique polynomial in of lowest possible degree which interpolates the data.
Simple examples in would be the fact that two distinct points determine a line, three points determine a parabola, etc. It is clear that over, any collection of k + 1 distinct points will uniquely determine a polynomial of lowest possible degree in.
