Tarah Jensen ACF Abstract FY10
“Extreme Curvature of Ploynomials”
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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