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Posts:
4
From:
ocean grove,N.J.
Registered:
5/14/09


Can one "soupup" the LAW OF THE MEAN in the following way?
Posted:
Jun 16, 2009 3:28 PM


Let J be a closed interval of real numbers whose length is finite and positive. Let f be a real valued function defined on J which has a continuous second derivative at all points of J.
QUESTION: If P1,P2,P3 are any three distinct and noncollinear points on the graph f(J), does there always exist at least one point p on J such that the absolute value of the curvature of f(J) at the point (p,f(p)) is greater than or equal to 1/rwhere r is the radius of the circle through the three points P1,P2,P3? STATIC.



