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On some relations for Mellin transforms of Hardy's function
Hardy’s function Riemann zeta-function Mellin transforms
2011/2/22
Some relations involving the Mellin and Laplace transforms of powers of the classical Hardy function Z(t) := ( 1 2 + it)( 1 2 + it)−1/2 , (s) = (s)(1 − s)are obtained. In p...
A New Approximation to the Normal Distribution Quantile Function
Normal Distribution Quantile Function primary benefit
2010/4/27
We present a new approximation to the normal distribution quantile function. It has a similar form to the approximation of Beasley and Springer [3], providing a maximum absolute error of less than $2....
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.