Tarah Jensen ACF Abstract FY10

Extreme Curvature of Polynomials

Conference Name: MathFest 2009

Let P be a real polynomial of degree n. We are interested in the number of points of extreme curvature. Curvature is defined by:

 

1

 

and to find the points of extreme curvature we look at k' = 0.  We will discuss our progress in showing that the number of points of extreme curvature is at most n -1. This problem is reminiscent of the P2 + P' problem.