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We present some results on the blow-up phenomenon for the Schrödinger equation in dimension three with a nonlinear term supported in a fixed point. We find sufficient conditions for the blow-up exploiting the moment of inertia of the s...

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The 2000 presidential election produced over two dozen different law suits including two separate decisions by the U.S. Supreme Court. The purpose of this essay is to examine the most important of these decisions, George W. Bush v. Albe...

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In extending Bernstein's theorem on the absolute convergence of the Fourier series to Vilenkin groups, Quek and Yap (J. Math. Anal. Appl.41 (1980) 1–14) assume that the group G has the boundedness property (P). The main purpose of the...

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We consider one-parameter families of Julia sets arising from Newton's method in the complex domain. We show the existence of bifurcation points where zeros coalesce or change from attractors to repellors, and points where chaotic behav...

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A general matrix expression for the asymptotic covariance matrix of correlation coefficients is derived. It is applicable when the data are drawn from any distribution with finite fourth order moments. The result is specialized to the c...

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