A Note on the First Integrals of Vector Fields with Integrating Factors and Normalizers

We prove a sufficient condition for the existence of explicit first integrals for vector fields which admit an integrating factor. This theorem recovers and extends previous results in the literature on the integrability of vector fields which are volume preserving and possess nontrivial normalizers. Our approach is geometric and coordinate-free and hence it works on any smooth orientable manifold

The Multiple-partners Assignment Game with Heterogeneous Sells and Multi-unit Demands: Competitive Equilibria

A multiple-partners assignment game with heterogeneous sells and multi-unit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of units. We define a competitive equilibrium for this generalized assignment game and prove its existence by only using linear programming. We show that the set of competitive equilibria (pairs of price vectors and assignments) has a Cartesian product structure: each equilibrium price vector is part of a competitive equilibrium with all equilibrium assignments, and vice versa. We also show that the set of (restricted) equilibrium price vectors has a natural lattice structure and we study how this structure is translated into the set of agents' utilities that are attainable at equilibrium.Matching, Assignment Game, Indivisible Goods, Competitive Equilibrium, Lattice

La religiosidad como búsqueda y su relación con la orientación intrínseca y extrínseca

Allport and Ross (1967) originally developed the religious orientation concept, identifying two types: intrinsic and extrinsic orientation. Later, Batson (1976) conceptualized a third type: the quest orientation, measured by the unidimensional Quest Religious Orientation Scale. However, subsequent works have reported the presence of a three-factor structure: preparation, self-criticism and openness. The aim of this work was the adaptation of the Quest Religious Orientation Scale to the Argentinean context in order to account for its dimensionality and to analyze its relationship with I-E Age Universal Scale (intrinsic and extrinsic orientation) in a sample of 334 university students (36.2% men) with an age range of 18 to 42 years (M = 24.8, SD = 2.63). The main results indicate a better fit of the data to the three correlated dimensions model of the Quest Religious Orientation Scale. This model allowed us to distinguish the relationship of each factor and the intrinsic and extrinsic orientations discovering significant differential relationships.El concepto de orientación religiosa fue originalmente desarrollado por Allport y Ross (1967), quienes identificaron dos tipos: intrínseca y extrínseca. Luego, Batson (1976) conceptualizó un tercer tipo: la orientación Quest, evaluada a través de la escala unidimensional de orientación religiosa Quest. Sin embargo, trabajos posteriores señalaron la presencia de una estructura trifactorial: preparación, autocrítica y apertura. El presente trabajo tuvo como objetivo principal la adaptación de la escala Quest al contexto argentino, analizando su dimensionalidad y las relaciones con las orientaciones extrínseca e intrínseca (I-E Age Universal Scale) en una muestra de 334 estudiantes universitarios (36.2% hombres) con una edad que oscilaba entre los 18 y los 42 años (M = 24.8, SD = 2.63). Los resultados indican un mejor ajuste de los datos al modelo de tres dimensiones correlacionadas de la escala de orientación religiosa Quest. Este modelo permitió distinguir la relación de cada factor con las orientaciones extrínseca e intrínseca descubriendo relaciones significativas diferenciales.Fil: Jaume, Luis Carlos. Universidad de Buenos Aires. Facultad de Psicología; ArgentinaFil: Simkin, Hugo Andrés. Universidad de Buenos Aires. Facultad de Psicología; ArgentinaFil: Etchezahar, Edgardo Daniel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Supporting task creation inside FPGA devices

The most common model to use co-processors/accelerators is the master-slave model where the slaves (coprocessors/ accelerators) are driven by a general purpose cpu. This simplifies the management of the accelerators because they cannot actively interact with the runtime and they are just passive slaves that operate over the memory under demand. However, the master-slave model limits system possibilities and introduces synchronization overheads that could be avoided. To overcome those limitations and increase the possibilities of accelerators, we propose extending task based programming models (like OpenMP [1] or OmpSs) to support some runtime APIs inside the FPGA co-processor. As a proof-of-concept, we implemented our proposal over the OmpSs@FPGA environment [2] adding the needed infrastructure in the FPGA bitstream and modifying the existing tools to support creation of children tasks inside a task offloaded to an FPGA accelerator. In addition, we added support to synchronize the children tasks created by a FPGA task regardless they are executed in a SMP host thread or they also target another FPGA accelerator in the same co-processor