On an upper bound for the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces

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On the number of limit cycles bifurcating from a non-global degenerated center

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Endogenous population subgroups: the best population partition and optimal number of groups

The aim of this paper is to suggest a method to find endogenously the points that group the individuals of a given distribution in k clusters, where k is endogenously determined. These points are the cut-points. Thus, we need to determine a partition of the N individuals into a number k of groups, in such way that individuals in the same group are as alike as possible, but as distinct as possible from individuals in other groups. This method can be applied to endogenously identify k groups in income distributions: possible applications can be poverty

Lower bounds for the number of limit cycles of trigonometric Abel equations

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On the upper bound of the number of limit cycles obtained by the second order averaging method I

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On the upper bound of the number of limit cycles obtained by the second order averaging method II

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On the number of K3,3-minor-free and maximal K3,3-minor-free graphs

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Experimental investigation of transient natural convection cooling of high prandtl number fluid with variable viscosity

Report for the scientific sojourn at the James Cook University, Australia, between June to December 2007. Free convection in enclosed spaces is found widely in natural and industrial systems. It is a topic of primary interest because in many systems it provides the largest resistance to the heat transfer in comparison with other heat transfer modes. In such systems the convection is driven by a density gradient within the fluid, which, usually, is produced by a temperature difference between the fluid and surrounding walls. In the oil industry, the oil, which has High Prandtl, usually is stored and transported in large tanks at temperatures high enough to keep its viscosity and, thus the pumping requirements, to a reasonable level. A temperature difference between the fluid and the walls of the container may give rise to the unsteady buoyancy force and hence the unsteady natural convection. In the initial period of cooling the natural convection regime dominates over the conduction contribution. As the oil cools down it typically becomes more viscous and this increase of viscosity inhibits the convection. At this point the oil viscosity becomes very large and unloading of the tank becomes very difficult. For this reason it is of primary interest to be able to predict the cooling rate of the oil. The general objective of this work is to develop and validate a simulation tool able to predict the cooling rates of high Prandtl fluid considering the variable viscosity effects.

Computation of an integral basis of a quartic number field

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Computation of an integral basis of quartic number field

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On the number of higher order Delaunay triangulations

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A functional equation related to the product in a quadratic number field

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From the “Mining Triangle” to the “Greater Region“ (“Großregion”/”Grande Région”). The Institutionalisation of the “SaarLorLux” Euroregion

Gairebé 182 milions d'ciutadans de la Unió Europea (= 37,5% de la població total) viuen en aproximadament 130 regions frontereres i transfrontereres. Aquestes regions contribueixen significativament al procés d'integració europea. Aquesta importància es documenta pel paquet dels Fons Estructurals 2007-2013, que ha estat presentat per la Comissió Europea i que va ser aprovat recentment pel Parlament Europeu. Considerant que la UE ha gastat uns 4875 € milions per a la cooperació transfronterera, transnacional i interregional en el marc de la iniciativa Interreg per al període 2000-2006, la cooperació territorial europea es convertirà en un dels tres objectius dels fons estructurals i rebrà € 7750000000 (5,57 milions d'euros per a la cooperació transfronterera només) per al període 2007-2013 (Comissió Europea, 2006a, 2006b). A part d'això, un nou conjunt de normes per a l'establiment d'una "agrupació europea de cooperació territorial" (AECT) ha estat adoptat i que facilitarà la cooperació transboundray, transnacional i interregional a la UE. Aquest treball s'ocuparà de les estructures de la institucionalització, la presa de decisions i l'execució i les polítiques de la "Gran Regió" / "Großregion" (d'ara endavant: GR o Gran Regió).

Social capital and the equilibrium number of entrepreneurs

Social capital is viewed either as a proprietary asset that serves private interests, including those of entrepreneurs, or as a collective asset that supports trust-based transactions saving on transaction costs both in markets and within the boundaries of firms, and benefiting society as a whole. This paper explains the relative specialization between entrepreneurs and market-governed exchanges as a result of the interaction between social capital that lowers transaction costs, and the scale economies of ability in managerial jobs (Lucas 1978). The main hypothesis formulated in the paper is that higher social capital will benefit the hierarchy relatively more than the market as a governance mechanism, and therefore in economies with higher social capital, the equilibrium number of entrepreneurs will be lower and their average span of control larger than in economies with lower social capital. The empirical evidence, with data from the Spanish Autonomous Communities, is consistent with this prediction.