A test of Picard principle for rotation free densities

On the Picard principle for ∆ + μ

Given a (local) Kato1 measure μ on Rd \ {0}, d ≥ 2, let H 0 (U) be the convex cone of all continuous real solutions u ≥ 0 to the equation ∆u+ uμ = 0 on the punctured unit ball U satisfying lim|x|→1 u(x) = 0. It is shown that H 0 (U) 6= {0} if and only if the operator f 7→ ∫ U G(·, y)f(y) dμ(y), where G denotes the Green function on U , is bounded on L2(U, μ) and has a norm which is at most one....

A Local-global Principle for Densities

This expository note describes a method for computing densities of subsets of Z described by infinitely many local conditions.

The Molecular Symmetry Group Theory for Trimethylamine-BH3 Addend(BH3 Free of Rotation)

exploring motivation and english test preparation strategies of iranian pre-university candidates during and at the end of test preparation period for konkur examination

the current study aimed at investigating the relationship between motivation and test preparation strategies (tpss) used by iranian pre-university students in their preparation period for the university entrance exam (uee). due to the importance of uee in iran, this study also attempted to show its impact on these two important variables. to this end, 100 pre-university students in an iranian p...

A test of goodness-of-fit for the copula densities

We consider the problem of testing hypotheses on the copula density from n bidimensional observations. We wish to test the null hypothesis characterized by a parametric class against a composite nonparametric alternative. Each density under the alternative is separated in the L2-norm from any density lying in the null hypothesis. The copula densities under consideration are supposed to belong t...