The Singularities of the Wave Trace of the Basic Laplacian of a Riemannian Foliation

We apply techniques of microlocal analysis to the study of the transverse geometry of Riemannian foliations in order to analyze spectral invariants of the basic Laplacian acting on functions on a Riemannian foliation with a bundle-like metric. In particular, we consider the trace of the basic wave operator when the mean curvature form is basic. We extend the concept of basic functions to distributions and demonstrate the existence of the basic wave kernel. The singularities of the trace of this basic wave kernel occur at the lengths of certain geodesic arcs which are orthogonal to the closures of the leaves of the foliation. In cases when the foliation has regular closure, a complete representation of the trace of the basic wave kernel can be computed for $t\not=0$. Otherwise, a partial trace formula over a certain set of lengths of well-behaved geodesic arcs is obtained

A Method to Separate Stochastic and Deterministic Information from Electrocardiograms

In this work we present a new idea to develop a method to separate stochastic and deterministic information contained in an electrocardiogram, ECG, which may provide new sources of information with diagnostic purposes. We assume that the ECG has information corresponding to many different processes related with the cardiac activity as well as contamination from different sources related with the measurement procedure and the nature of the observed system itself. The method starts with the application of an improuved archetypal analysis to separate the mentioned stochastic and deterministic information. From the stochastic point of view we analyze Renyi entropies, and with respect to the deterministic perspective we calculate the autocorrelation function and the corresponding correlation time. We show that healthy and pathologic information may be stochastic and/or deterministic, can be identified by different measures and located in different parts of the ECG.Comment: 4 pages, 6 figure

Electron correlations in a C20_{20} fullerene cluster: A lattice density-functional study of the Hubbard model

The ground-state properties of C$_{20}$ fullerene clusters are determined in the framework of the Hubbard model by using lattice density-functional theory (LDFT) and scaling approximations to the interaction-energy functional. Results are given for the ground-state energy, kinetic and Coulomb energies, local magnetic moments, and charge-excitation gap, as a function of the Coulomb repulsion $U/t$ and for electron or hole doping $\delta$ close half-band filling ($|\delta| \le 1$). The role of electron correlations is analyzed by comparing the LDFT results with fully unrestricted Hartree-Fock (UHF) calculations which take into account possible noncollinear arrangements of the local spin-polarizations. The consequences of the spin-density-wave symmetry breaking, often found in UHF, and the implications of this study for more complex fullerene structures are discussed.Comment: 18 pages, 7 figures, Submitted to PR

La inteligencia emocional y el rendimiento académico

A partir de que Goleman la da a conocer en los años 90´s, se ha explorado, y realizado investigación sobre la inteligencia emocional (I.E.); en el ámbito académico hay múltiples trabajos que afirman que existe una correlación entre dicha inteligencia y el rendimiento académico. Para Salovey et al. Inteligencia emocional es un conjunto de competencias que abarca la evaluación, expresión y uso de emociones, para facilitar las actividades cognitivas, el conocimiento acerca de las emociones y la regulación de las mismas. Barchard evaluó a estudiantes universitarios mediante una prueba de habilidad de IE, apoyando la idea de que los niveles de IE de los universitarios predecían las notas obtenidas al finalizar el año lectivo. Por tanto, la IE se suma a las habilidades cognitivas que predicen de gran manera no sólo del equilibrio psicológico del alumnado, sino también de su logro escolar. El objetivo de este trabajo es: Probar que la Inteligencia Emocional tiene relación con el rendimiento académico. La muestra del estudio quedó integrada por 139 alumnos de una Escuela de Nivel Medio Superior de la Universidad de Guanajuato con edades comprendidas entre 14 y 16 años, de primer semestre seleccionados mediante un muestreo al azar. El instrumento de Inteligencia emocional aplicado fue una escala tipo Likert, integrada con 24 ítems (TMMS-24). Se tomó el promedio de calificaciones obtenidas del Sistema de Control Escolar de los estudiantes a los que se les aplicó el test. El coeficiente de correlación entre la Inteligencia emocional y el Rendimiento académico, fue de un 11.38. La correlación entre las calificaciones de matemáticas y la inteligencia emocional 7.62%. Demostrando la correlación positiva entre ambas variables

Optimal Policy Derivation for Transmission Duty-Cycle Constrained LPWAN

Low-power wide-area network (LPWAN) technologies enable Internet of Things (IoT) devices to efficiently and robustly communicate over long distances, thus making them especially suited for industrial environments. However, the stringent regulations on the usage of certain industrial, scientific, and medical bands in many countries in which LPWAN operate limit the amount of time IoT motes can occupy the shared bands. This is particularly challenging in industrial scenarios, where not being able to report some detected events might result in the failure of critical assets. To alleviate this, and by mathematically modeling LPWAN-based IoT motes, we have derived optimal transmission policies that maximize the number of reported events (prioritized by their importance) while still complying with current regulations. The proposed solution has been customized for two widely known LPWAN technologies: 1) LoRa and 2) Sigfox. Analytical results reveal that our solution is feasible and performs remarkably close to the theoretical limit for a wide range of network activity patterns