We extend our previous method to determine globular cluster ages using the luminosity function (Jimenez & Padoan 1996). We show that the luminosity function depends on both age and distance modulus and that it is possible to distinguish between the two. This method provides at the same time independent determinations of distance and age of a GC by simply counting the number of stars found insid...

For minimizers u ∈W 1,p(x)(Ω) of quasiconvex integral functionals of the type F [u] := ∫ Ω f(x,Du(x)) dx with p(x) growth in the class K := {u ∈ W 1,p(x)(Ω) : u ≥ ψ}, where ψ ∈ W 1,p(x)(Ω) is a given obstacle function, we show estimates of Calderón-Zygmund type, i.e. |Dψ|p(·) ∈ L =⇒ |Du|p(·) ∈ L , for any q > 1, provided that the modulus of continuity ω of the exponent function p satisfies the ...

In this paper we consider subharmonic functions »gl in the unit disk whose minimum modulus and maximum modulus satisfy a certain inequality. We show the existence of an extremal member of this class with largest maximum modulus. We then obtain an upper bound for the maximum modulus of this function in terms of the logarithmic measure of a certain set. We use this upper bound to prove theorems a...

The RSA is based on a trapdoor one-way function which is easy to compute but is most hard to revert without knowing the trapdoor. A cryptanalysis, presented in this paper, consists in finding a new decrypt key which plays the same role of the original trapdoor. To find this new decrypt key we must seek the maximum degree of ciphering function composition in a given modulus N. The maximum degree...

Some approximation theorems involving the modular convergence, which improve known density results of interest in the existence theory for strongly nonlinear boundary value problems are presented.