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:

 
P"
k = -----------------------
( 1+( P' )2 )3/2
 
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.

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