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We consider pairwise multiple comparisons and multiple comparisons with a control among mean vectors for high-dimensional data under the multivariate normality. For such cases, the statistics based on Dempster trace criterion are given, and also their approximate upper percentiles are derived by using Bonferroni's inequality. Finally, the accuracy of their… (More)

An infinite number of generalized solutions to the stationary Euler equations with ax-isymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. They are proved to be different from exact solutions which are written with trigonometric functions and a… (More)

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