EUROPEAN INTEGRATION AND BALKAN COUNTRIES

Integration of the European economies has affected and will continue to affect almost every aspect of both domestic and international affairs of Balkan countries. Growth of intra-European trade, massive international financial flows, and the activities of multinational corporations are tying national economies more tightly to one another, thus making integration an important feature of the EU. Almost all economists and other proponents of free markets believe that the EU promises a world of increasing prosperity and international cooperation for its members. Economists argue that no obstacles should be allowed to prevent the free flow of goods, services, and capital. Critics of integration on the other hand, foresee a very different future; they fear that increased trade, foreign investment, and financial flows are producing powerful negative consequences for their countries. Some people from the Western Europe believe that further integration lowers wages, causes unemployment, and has other serious harmful effects. Some of them are even more skeptical about economic integration.European Union, economic integration

Hankel determinant for a class of analytic functions

Let $f$ be analutic in the unit disk $\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper we give sharp bound of Hankel determinant of the second order for the class of analytic unctions satisfying $$\left|\arg \left[\left(\frac{z}{f(z)}\right)^{1+\alpha}f'(z) \right] \right|<\gamma\frac{\pi}{2} \quad\quad (z\in\mathbb D),$$ for $0<\alpha<1$ and $0<\gamma\leq1$

An application of Groebner bases to planarity of intersection of surfaces

In this paper we use Groebner bases theory in order to determine planarity of intersections of two algebraic surfaces in ${\bf R}^3$. We specially considered plane sections of certain type of conoid which has a cubic egg curve as one of the directrices. The paper investigates a possibility of conic plane sections of this type of conoid

A class of univalent functions with real coefficients

In this paper we study class $\mathcal{S}^+$ of univalent functions $f$ such that $\frac{z}{f(z)}$ has real and positive coefficients. For such functions we give estimates of the Fekete-Szeg\H{o} functional and sharp estimates of their initial coefficients and logarithmic coefficients. Also, we present necessary and sufficient conditions for $f\in \mathcal{S}^+$ to be starlike of order $1/2$

Categorified cyclic operads

In this paper, we introduce a notion of categorified cyclic operad for set-based cyclic operads with symmetries. Our categorification is obtained by relaxing defining axioms of cyclic operads to isomorphisms and by formulating coherence conditions for these isomorphisms. The coherence theorem that we prove has the form "all diagrams of canonical isomorphisms commute". Our coherence results come in two flavours, corresponding to the "entries-only" and "exchangeable-output" definitions of cyclic operads. Our proof of coherence in the entries-only style is of syntactic nature and relies on the coherence of categorified non-symmetric operads established by Do\v{s}en and Petri\'c. We obtain the coherence in the exchangeable-output style by "lifting" the equivalence between entries-only and exchangeable-output cyclic operads, set up by the second author. Finally, we show that a generalisation of the structure of profunctors of B\' enabou provides an example of categorified cyclic operad, and we exploit the coherence of categorified cyclic operads in proving that the Feynman category for cyclic operads, due to Kaufmann and Ward, admits an odd version.Comment: 57 page

THE ROLE INNOVATION ON STRATEGIC ORIENTATIONS AND COMPETITIVENESS OF ENTERPRISES

The most important strategic decisions related to technology in a company related precisely to determine the timing of the election of a new technology that will replace the existing one. By monitoring all the new features will be prevented that the existing technology comes a phase of maturity and obsolescence, and that previously have not been introduced in a timely manner the necessary changes and substitution/replacement of new technologies. The life cycle (already) technology represents the absolute frequency of product and process innovations in the production unit. Timely identification, acquisition and adoption of new technologies will lead to coincide moment of maturity and decline of the old technology and a moment of growth of new technologies. The introduction of new technologies and patents can significantly affect the former structure of enterprises, the production process, method of delivery, financial management, etc. The best example, which is just one of the biggest problems of today, the use of technology as a substitute for labor. By automating processes and using artificial intelligence gradually replaces the human factor in all processes

Que(e)r(y)ing gender-based assaults of trans-identifying people

Section A presents a systematic review of the empirical literature on dating violence (DV) among young trans and gender non-conforming (TGNC) people. The review synthesises what is known about the prevalence of DV among TGNC youth and their risk relative to cisgender peers; how relative DV risk compares to non-dating victimisation experiences, and the psychosocial/structural correlates of DV identified in this group. The literature is critically appraised, outlining some robust findings as well as significant methodological limitations. Synthesised findings are discussed and implications for research and practice are considered. Section B presents a grounded theory of barriers to help-seeking among trans survivors of sexual violence (SV). With reference to 10 themes, the model illustrates how psychosocial conditions (‘Navigating narratives of blame’; ‘Carrying lots of shame’; ‘Questioning my validity as a victim’; ‘Normalising sexual violence’; ‘Problematising felt gender’) combine with service-level interactions (‘Fearing the power of services’; ‘Being a curious object’; ‘Feeling unseen’) to inhibit support-seeking and maintain victimisation risk (‘Remaining vulnerable’; ‘Needing more from services’). The substantive theory suggests that help-seeking is compromised by trans identity being cyclically undermined and/or overemphasised in its relationship to SV. The model is discussed with reference to existing theories of help-seeking and minority experience, with clinical/policy implications considere

Syntactic aspects of hypergraph polytopes

This paper introduces an inductively defined tree notation for all the faces of polytopes arising from a simplex by truncations. This notation allows us to view inclusion of faces as the process of contracting tree edges. Our notation instantiates to the well-known notations for the faces of associahedra and permutohedra. Various authors have independently introduced combinatorial tools for describing such polytopes. We build on the particular approach developed by Dosen and Petric, who used the formalism of hypergraphs to describe the interval of polytopes from the simplex to the permutohedron. This interval was further stretched by Petric to allow truncations of faces that are themselves obtained by truncations, and iteratively so. Our notation applies to all these polytopes. We illustrate this by showing that it instantiates to a notation for the faces of the permutohedron-based associahedra, that consists of parenthesised words with holes. Dosen and Petric have exhibited some families of hypergraph polytopes (associahedra, permutohedra, and hemiassociahedra) describing the coherences, and the coherences between coherences etc., arising by weakening sequential and parallel associativity of operadic composition. We complement their work with a criterion allowing us to recover the information whether edges of these "operadic polytopes" come from sequential, or from parallel associativity. We also give alternative proofs for some of the original results of Dosen and Petric.Comment: 42 pages, 4 figure