Positive Polynomials: From Hilbert's 17th Problem to Real

Suppose someone writes that p is roughly equal to 3.14. His method for estimating π was taken to the extreme by Ludoph van Ceulen in the 16th Century, who used a polygon with an extraordinary 4,611,686,018,427,387,904 sides to arrive at a value of π correct to 35 digits. Second, the apparatus of Legg is not regarded as particularly good. Cohen, Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.15 n.11, p.1131-1147, November 1993 M.

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