On the Sandpile group of the cone of a graph

In this article, we give a partial description of the sandpile group of the cone of the cartesian product of graphs in function of the sandpile group of the cone of their factors. Also, we introduce the concept of uniform homomorphism of graphs and prove that every surjective uniform homomorphism of graphs induces an injective homomorphism between their sandpile groups. As an application of these result we obtain an explicit description of a set of generators of the sandpile group of the cone of the hypercube of dimension d.Comment: 20 pages, 11 figures. The title was changed, other impruvements were made throughout the article. To appear in Linear Algebra and Its Application

Editorial: Adipose Tissue: Which Role in Aging and Longevity?

Editorial on the Research Topic Adipose Tissue: Which Role in Aging and Longevity? Since 2018, we are living in a world where there are more people over age 65 than there are children under five. Predictions indicate, if this trend continues, by the year 2050, the number of people over 65 will be double the number of people under five (1). Consequently, an understanding of the optimal physiological, endocrinological, and anthropometric conditions associated with better health during aging is to be considered a priority topic. In parallel with the increasing aging of the population, there is a parallel increase of overweight and obese individuals among older adults (2). Normal aging involves important changes to body composition, including decreased muscle mass and increased fat mass (3). Basal metabolism, for the majority of the elderly, is the main daily energetic expenditure and its decrease with age provides one explanation for the tendency to gain weight, with age. In addition to this physiological statement, lifestyle changes in aged people and the associated reduction in physical activity level favors weight increase with age. Total body fat peaks at about 65\u201370 years, while in advanced old age it decreases. Aging, indeed, modifies adipose tissue accumulation and redistribution resulting in accumulation of abdominal fat. These age-related changes alter many physiological functions including inflammation and contribute to age-related diseases such as cardiovascular events, diabetes mellitus, hypertension, stroke, and several types of cancer (4). However, to what extent, the age-related adipose tissue remodeling impacts the health status in elderly is incompletely understood. ..

On the graded resolution of ideals of a few general fat points of Pn

AbstractWe compute the graded Betti numbers of the ideal of “few” (at most n) fat points of Pn with support in general position, under the assumption that the multiplicities are all equal except one, which has to be at least twice as much.We do so by performing a sequence of splittings and applying the graded version given by Fatabbi (J. Algeb. 242 (2001) 92) of a result of Eliahou and Kervaire (J. Algeb. 129 (1990) 1).In doing so, we also prove that the ideal of at most n general fat points of Pn is always splittable and we compute the graded Betti numbers of the product of two ideals whose generators involve disjoint sets of indeterminates

Development and Longevity: Cellular and Molecular Determinants - A Mini-Review

Across species, development and longevity are tightly linked. We discuss the relevant literature and suggest that the root for this stringent relationship is the rate of development. The basis for the relationship between rate of development and longevity lies in adaptations that have occurred through evolution at multiple levels of biological complexity: organism, organ, cellular, and molecular. Thus, the analysis of the relationship is of interest for multiple fields of biology

Vehicle Tracking System using Nanotechnology Satellites and Tags

This paper describes a joint project to design, develop, and deploy a satellite based tracking system incorporating micro-nanotechnology components. The system consists of a constellation of 'nanosats', a satellite command station and data collection sites, and a large number of low-cost electronic 'tags'. Both government and commercial applications are envisioned for the satellite based tracking system. The projected low price for the tracking service is made possible by the lightweight nanosats and inexpensive electronic tags which use high production volume single chip transceivers and microprocessor devices. The nanosat consists of a five inch aluminum cube with body mounted solar panels (GaAs solar cells) on all six faces. A UHF turnstile antenna and a simple, spring release mechanism complete the external configuration of the spacecraft

Responsabilidad médica

ResumenEl presente artículo intenta abordar de una manera inteligible para el lector no jurista la nueva realidad de la actividad médica en relación a la responsabilidad del médico por sus actos evitando los tecnicismos legales y sacrificando la precisión legal en beneficio de la mejor comprensión del texto. Analizaremos la responsabilidad médica en base a las normas y principios que inspiran nuestra legislación, y la aplicación de los mismos que efectúan nuestros tribunales de justicia. Especial atención se otorga al consentimiento informado y a la confidencialidad médica, temas a los que se les dedica un acápite especial. Asimismo, analizaremos en un acápite especial otro tema íntimamente relacionado con la responsabilidad del médico, como es el seguro de responsabilidad civil existente en el mercado y que protege patrimonialmente al médico frente a reclamaciones de terceros, tema muchas veces desconocido, pero que hoy se vuelve indispensable frente a la nueva realidad de la actividad médica.SummaryThe present article intends to give an approach in an intelligible way for the non-jurist reader concerning the new reality in the medical activity, in relation to procedures avoiding legal technicalities and to sacrifice legal precision so as to gain a better understanding of the text. We will analyze the medical responsibility on the basis of the rules and principles which inspire our legislation and their application that our judicial courts apply. A special attention is given to the informed consent and the medical’s confidence, themes that will be given a special treatment. Likewise, a special analysis will be made to another intimately paragraph in relation to the medical responsibility, such as the civilian insurance responsibility present in the market, which protects the doctor in a patrimonial way compared with another one’s claiming, many times this topic unknown but now indispensable compared with the medical’s activity reality

CONSTRUCTAL THEORY APPLIED TO THE GEOMETRIC OPTIMIZATION OF ELLIPTICAL CAVITIES INTO A SOLID CONDUCTING WALL

This work reports, according to Bejan’s Constructal theory, the geometric optimization of an elliptical cavity that intrudes into a solid conducting wall. The objective is to minimize the global thermal resistance between the solid and the cavity. There is uniform heat generation on the solid wall. The cavity is optimized for two sets of thermal conditions: isothermal cavity and cavity bathed by a steady stream of fluid. The solid conducting wall is isolated on the external perimeter. The total volume and the elliptical cavity volume are fixed while the geometry of the cavity is free to vary. The results show that the optimized geometrical shapes are relatively robust, i.e., insensitive to changes in some of the design parameters: the cavity shape is optimal when penetrates the conducting wall almost completely