Trigonometric Bézier and Stancu Polynomials over Intervals and Triangles

We introduce a family of trigonometrie polynomials, denoted as Stancu polynomials, which covers as special cases the trigonometrie Lagrange and Bernstein polynomials. This family depends only on one real parameter, denoted as design parameter. Our approach works for curves as well as for surfaces over triangles. The resulting Stancu curves resp. surfaces therefore establish a link between trigonometrie interpolatory and Bernstein-Bézier curves resp. surfaces

Origins of the baryon spectrum

I begin with a key problem of light and strange baryon spectroscopy which suggests a clue for our understanding of underlying dynamics. Then I discuss spontaneous breaking of chiral symmetry in QCD, which implies that at low momenta there must be quasiparticles - constituent quarks with dynamical mass, which should be coupled to other quasiparticles - Goldstone bosons. Then it is natural to assume that in the low-energy regime the underlying dynamics in baryons is due to Goldstone boson exchange (GBE) between constituent quarks. Using as a prototype of the microscopical quark-gluon degrees of freedom the instanton-induced 't Hooft interaction I show why the GBE is so important. When the 't Hooft interaction is iterated in the qq t-channel it inevitably leads to a pole which corresponds to GBE. This is a typical antiscreening behavior: the interaction is represented by a bare vertex at large momenta, but it blows up at small momenta in the channel with GBE quantum numbers, explaining thus a distinguished role of the latter interaction in the low-energy regime. I show how the explicitly flavour-dependent short-range part of the GBE interaction between quarks, perhaps in combination with the vector-meson exchange interaction, solves a key problem of baryon spectroscopy and present spectra obtained in a simple analytical calculation as well as in exact semirelativistic three-body approach.Comment: Plenary talk given at PANIC 99 (XV Particles and Nuclei International Conference, 10 - 16 June 1999, Uppsala

Realizing fusion systems inside finite groups

We show that every (not necessarily saturated) fusion system can be realized as a full subcategory of the fusion system of a finite group. This result extends our previous work \cite{Park2010} and complements the related result \cite{LearyStancu2007} by Leary and Stancu.Comment: 3 page

Managerial methodology in banking institutions

The managerial methodology represents a domain of great interest for the efficiency of Romanian banks. It regards the promoting and the using of modern management systems, methods and techniques that represent a condition for their managerial, economic and commercial success. The efficiency and the effectiveness, the performances obtained in the managed domain are the natural consequences of a performant management and, firstly, of managerial methodology, that gives order, disciplines and accuracy to managers and employees’. It is considered that there cannot be obtained pluses in efficiency and effectiveness in the absence of a management that can ensure performance. It is well-known that as far as the banking system is concerned, this type of management refers, almost exclusively, to the financial and economic results achieved not to the general or specific performances in management. It is not possible to speak about profit, efficient placements and other efficiency indicators if the performance in the field of management, decision-making, information and organization have not reached a certain standard.managerial methodology, reengineering, profit centers, managerial performances, economic performances.

Generalized Gaussian Effective Potential: Low Dimensional Scalar Fields

We study a generalization of the Gaussian effective potential for self-interacting scalar fields in one and two spatial dimensions. We compute the two-loop corrections and discuss the renormalization of the generalized Gaussian effective potential.Comment: tex, 10 pages + 4 Postscript figures include

Approximation properties of modified Stancu beta operators

In this paper we give approximation theorems for modified Stancu beta operators of differentiable functions. The Stancu beta operators were examined in [8, 1, 2, 5] and other papers

Relativistic five-quark equations and negative parity pentaquarks

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the low-lying pentaquarks including the u, d, s- quarks are calculated. The poles of these amplitudes determine the masses of the negative parity pentaquarks with I = 0, 1 and spin 3/2-, 5/2-. The mass of the lowest pentaquark with I = 0 and spin 3/2- is equal to 1514 MeV.Comment: 18 pages, pdf, published versio