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Level statistics in arithmetical and pseudo-arithmetical chaos
arithmetical pseudo-arithmetical chaos
2010/4/1
We resolve a long-standing riddle in quantum chaos, posed by certain fully chaotic billiards with constant negative curvature whose periodic orbits are highly degenerate in length. Depending on the bo...
Notes on Level Function of Fuzzy Sets
fuzzy set upper semicontinuity convex resolution identity
2012/10/9
This short note presents a counterexample showing that a result from level function of fuzzy sets in Wu Hsienchung is incorrect, and a correct proof on the convexity of the given fuzzy set is given.