ON THE SUMATORY FUNCTION ASSOCIATED TO THE SMARANDACHE FUNCTION

It is sald that for every numerical function f it can be attached the sumatory function

SOME ELEMENTARY ALGEBRAIC CONSIDERATIONS INSPIRED BY SMARANDACHE'S FUNCTION

In this paper we continue the algebraic consideration begun earlier. As it was sun, two of the proprieties of Smarandache's function are hold

Some Considerations Concerning the Sumatory Function Associated to Smarandache Function

Giving an algorithm to calculate the sumatory function, associated to the Smarandache function

Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors

We compute the intrinsic contributions to the Berry-phase mediated anomalous Hall and Nernst effects in electron- and hole-doped semiconductors in the presence of an in-plane magnetic field as well as Rashba and Dresselhaus spin orbit couplings. For both systems we find that the regime of chemical potential which supports the topological superconducting state in the presence of superconducting proximity effect can be characterized by plateaus in the topological Hall and Nernst coefficients flanked by well-defined peaks marking the emergence of the topological regime. The plateaus arise from a clear momentum space separation between the region where the Berry curvature is peaked (at the `near-band-degeneracy' points) and the region where the single (or odd number of) Fermi surface lies in the Brillouin zone. The plateau for the Nernst coefficient is at vanishing magnitudes surrounded by two peaks of opposite signs as a function of the chemical potential. These results could be useful for experimentally deducing the chemical potential regime suitable for realizing topological states in the presence of proximity effect.Comment: 8 pages, 8 figure

Burden-Sharing and Accommodation of Migrants in the EU - a Simulation Based on Factorial Designs

In recent years, migration to European countries has intensified like never before, raising issues regarding cooperation in order to manage the situation. The aim of this paper is to simulate the implications for the cooperation between countries using the Vickrey-Clarke-Groves (VCG) mechanism and statistical analysis. In the simulation, we identify the consequences of various decisions of the countries involved in accommodating migrants. We conclude that the types of migrants and partners willing to cooperate can influence on the groups accommodated first, and that the decision to cooperate can influence on the political situation and budgets of receiving countries

Smarandache type functions obtained by duality

we extend the Smarandache function from the set N* of positive integers to the set Q of rational