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In this paper , the authors show that , as the coefficient of the nonlocal integral term goes to zero , the solution trajectories and the maximal attractor of the nonlocal Kuramoto-Sivashinsky equation converge to those of the usual Kuramoto-Sivashinsky equation . Authors show that the diversity of factor choices is not due to a non-homothetic technology . In this paper , the authors show that momentum strategies have high exposures to the systematic downside risk factor , and this exposure to downside risk cannot be arbitraged away . By using a combination of laboratory simulations , mathematical modeling to take into consideration the decreased gravity field on Mars , and by comparison with modern examples in Iceland , the authors show that these features are formed by active faulting . Furthermore , the authors show that approximately half of the total expenditure savings achieved by the penetration of for-profit hospitals comes about through reductions in Medicare 's area hospital labor cost index , an intuitively plausible mechanism through which spillovers would occur .