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

Some Elementary Algebraic Considerations Inspired by Smarandache Type Functions (II)

The Smarandache function and its principal properties are already known in the literature of speciality. Other functions were built analogously, among which the following ones

THE PROCESS OF GLOBALIZATION IN THE WORLD ECONOMY

The globalization of the world economy is characterized by a huge amplification of the interconnections collaborations and interdependencies between the national states generated from the tendency of the economical objectives and interests to exceed the national borders. Using this obvious truth as a starting base, economical researchers tried to define the globalization in various ways. In this study we will analyze some different opinions from economic literature, regarding the globalization phenomenon and the mechanisms appeared in this process. We will also analyze the evolution of globalization process during the XX-th century period. At the end of this study we will analyze commercial policies and practices of the EU as one of the main three integration blocs.globalization, "waves" of globalization, "First Era of Globalization", General Agreement on Tariffs and Trade (GATT), Common Market

Soft-gluon resolution scale in QCD evolution equations

QCD evolution equations can be recast in terms of parton branching processes. We present a new numerical solution of the equations. We show that this parton-branching solution can be applied to analyze infrared contributions to evolution, order-by-order in the strong coupling $\alpha_s$, as a function of the soft-gluon resolution scale parameter. We examine the cases of transverse-momentum ordering and angular ordering. We illustrate that this approach can be used to treat distributions which depend both on longitudinal and on transverse momenta.Comment: Latex, 8 pages, 4 figure

Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy in the strong coupling. Using the unitarity picture in terms of resolvable and non-resolvable branchings, we analyze the role of the soft-gluon resolution scale in the evolution equations. For longitudinal momentum distributions, we find agreement of our numerical calculations with existing evolution programs at the level of better than 1 percent over a range of five orders of magnitude both in evolution scale and in longitudinal momentum fraction. We make predictions for the evolution of transverse momentum distributions. We perform fits to the high-precision deep inelastic scattering (DIS) structure function measurements, and we present a set of NLO TMD distributions based on the parton branching approach.Comment: 27 pages, 8 figure

Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory

The linear delta expansion is applied to the 3-dimensional O(N) scalar field theory at its critical point in a way that is compatible with the large-N limit. For a range of the arbitrary mass parameter, the linear delta expansion for converges, with errors decreasing like a power of the order n in delta. If the principal of minimal sensitivity is used to optimize the convergence rate, the errors seem to decrease exponentially with n.Comment: 26 pages, latex, 8 figure