On Finite Linear Systems Containing Strict Inequalities

This paper deals with linear systems containing finitely many weak and/or strict inequalities, whose solution sets are referred to as evenly convex polyhedral sets. The classical Motzkin theorem states that every (closed and convex) polyhedron is the Minkowski sum of a convex hull of finitely many points and a finitely generated cone. In this sense, similar representations for evenly convex polyhedra have been recently given by using the standard version for classical polyhedra. In this work, we provide a new dual tool that completely characterizes finite linear systems containing strict inequalities and it constitutes the key for obtaining a generalization of Motzkin theorem for evenly convex polyhedra.This research was partially supported by MINECO of Spain and ERDF of EU, Grants MTM2014-59179-C2-1-P and ECO2016-77200-P

On Evenly Convex Sets and Functions

A subset of R^n is said to be evenly convex (e-convex, in breaf) if it is the intersection of some family (possibly empty) of open halfspaces. In this paper, we collect some published results which show that this large class of convex sets enjoys a lot of the well-known properties of the subclass of closed convex sets. We also consider functions whose epigraphs are e-convex sets, the so-called e-convex functions, and we show the main properties of this class of convex functions that contains the important class of lower semicontinuous convex functions.Esta publicación se ha realizado con el apoyo financiero del Ministerio de Economía y Competitividad, a través del proyecto MTM2011-29064-C03-02

Evenly convex sets, and evenly quasiconvex functions, revisited

Since its appearance, even convexity has become a remarkable notion in convex analysis. In the fifties, W. Fenchel introduced the evenly convex sets as those sets solving linear systems containing strict inequalities. Later on, in the eighties, evenly quasiconvex functions were introduced as those whose sublevel sets are evenly convex. The significance of even convexity relies on the different areas where it enjoys applications, ranging from convex optimization to microeconomics. In this paper, we review some of the main properties of evenly convex sets and evenly quasiconvex functions, provide further characterizations of evenly convex sets, and present some new results for evenly quasiconvex functions.This research has been partially supported by MINECO of Spain and ERDF of EU, Grants PGC2018-097960-B-C22 and ECO2016-77200-P

Bacterias oportunistas involucradas en infecciones oculares

Este artículo busca describir las bacterias oportunistas que causan infecciones oculares para ello, se realizó una búsqueda bibliográfica en bases de datos (PubMed, SciELO, EBSCO Medline, ProQuest, ScienceDirect y Scopus) y libros. Se encontró que las bacterias oportunistas causantes de infecciones oculares son habitantes residentes o transitorios de la microbiota ocular: Staphylococcus epidermidis, Corynebacterium sp., Propionibacterium sp., y Micrococcus del ambiente: Enterobacter erogenes, Citrobacter, Pseudomonas, Acinetobacter, Sphingomonas, Bradyrhizobium, Aquabacterium, Brevundimonas y Bacillus y de los animales: Francisella tularensis, Chlamydia psittacii y Leptospira. Estas bacterias ocasionan conjuntivitis, blefaritis, dacriocistitis, endoftalmitis, celulitis, queratitis y uveítis, en pacientes inmunocomprometidos, con una frecuencia mayor al 37 %. Además, la mayoría de especies son multirresistentes a los antimicrobianos, por lo cual representan un problema de salud pública que requiere el estudio de su hábitat y sus formas de transmisión, así como el diagnóstico y el control por parte del personal de la salud visual y ocular

Effect of Efficient Microorganisms on Bioproductive Indicators of Pre-fattening Pigs

Background: At present, additives are used as an alternative to increase animal productive yields. The aim of this paper was to evaluate the effect of efficient microorganisms on bioproductive indicators of pre-fattening pigs. Methods: A total of 80 Yorkshire/Landrace x CC21 animals (38 days old and 7.8 kg) were used under a completely randomized design in four groups of 20 animals each: control; treatment 1 (60 mL EM/5 kg of feed); treatment 2 (same as treatment 1, plus 1 mL EM/5 L of water); and treatment 3 (1 mL EM/5 L of water). The initial and final weights, weight gain, mean daily gain, food conversion, mortality, morbidity, and viability were evaluated for 49 days. The results were compared by covariance analysis, with IW as covariable; multiple comparison tests were made for comparison of means. Results: The final weight, weight gain, mean daily gain, and food conversion showed significant differences (P≤0.05) between the treatments and the control, with the exception of mean daily gain in the third treatment. Mortality, morbidity, and viability were significantly different in the three groups treated in relation to the control. Conclusions: The best results were observed in the first treatment, thus the inclusion of efficient microorganisms in the diet of pre-fattening pigs improved the bioproductive indicators.Background: At present, additives are used as an alternative to increase animal productive yields. The aim of this paper was to evaluate the effect of efficient microorganisms on bioproductive indicators of pre-fattening pigs. Methods: A total of 80 Yorkshire/Landrace x CC21 animals (38 days old and 7.8 kg) were used under a completely randomized design in four groups of 20 animals each: control; treatment 1 (60 mL EM/5 kg of feed); treatment 2 (same as treatment 1, plus 1 mL EM/5 L of water); and treatment 3 (1 mL EM/5 L of water). The initial and final weights, weight gain, mean daily gain, food conversion, mortality, morbidity, and viability were evaluated for 49 days. The results were compared by covariance analysis, with IW as covariable; multiple comparison tests were made for comparison of means. Results: The final weight, weight gain, mean daily gain, and food conversion showed significant differences (P≤0.05) between the treatments and the control, with the exception of mean daily gain in the third treatment. Mortality, morbidity, and viability were significantly different in the three groups treated in relation to the control. Conclusions: The best results were observed in the first treatment, thus the inclusion of efficient microorganisms in the diet of pre-fattening pigs improved the bioproductive indicators

Opening the 21st Century Technologies to Industries: On the Special Issue Machine Learning for Society

Machine learning techniques, more commonly known today as artificial intelligence, are playing an increasingly important role in all aspects of our lives. Their applications extend to all areas of society where similar techniques can be accommodated to provide efficient and interesting solutions to a wide range of problems. In this Special Issue entitled Machine Learning for Society [1], we present some examples of the applications of this type of technique. From the valuation of unlisted companies to the characterization of clients, through the detection of financial crises or the prediction of the behavior of the exchange rate, this group of works presented here has in common the search for efficient solutions based on a set of historical data, and the application of artificial intelligence techniques. The techniques and datasets used, as well as the relevant findings developed in the different articles of this Special Issue, are summarized below

Practice Summary: Enhancing Forecasting and Capacity Planning Capabilities in a Telecommunications Company

In the constantly changing telecommunications sector, capacity planning determines the technological resources that a company must acquire and install in advance to meet highly stochastic demand. Decisions on capacity affect service levels and return on investment. Although excess capacity increases fixed costs and the risk of equipment obsolescence, shortage of capacity may result in complaints and loss of customers. We developed an integrated decision support system to aid in the annual capacity planning process at AVANTEL, a Mexican telecommunications company, which AXTEL subsequently acquired. Using artificial neural networks, inventory models, and optimization techniques, this system addresses the entire capacity planning process, including demand forecasting, capacity expansion, and equipment selection. The significant savings that AVANTEL reported may persuade other telecommunications companies to also use the system. </jats:p

On the Differential Analysis of Enterprise Valuation Methods as a Guideline for Unlisted Companies Assessment (II): Applying Machine-Learning Techniques for Unbiased Enterprise Value Assessment

The search for an unbiased company valuation method to reduce uncertainty, whether or not it is automatic, has been a relevant topic in social sciences and business development for decades. Many methods have been described in the literature, but consensus has not been reached. In the companion paper we aimed to review the assessment capabilities of traditional company valuation model, based on company’s intrinsic value using the Discounted Cash Flow (DCF). In this paper, we capitalized on the potential of exogenous information combined with Machine Learning (ML) techniques. To do so, we performed an extensive analysis to evaluate the predictive capabilities with up to 18 different ML techniques. Endogenous variables (features) related to value creation (DCF) were proved to be crucial elements for the models, while the incorporation of exogenous, industry/country specific ones, incrementally improves the ML performance. Bagging Trees, Supported Vector Machine Regression, Gaussian Process Regression methods consistently provided the best results. We concluded that an unbiased model can be created based on endogenous and exogenous information to build a reference framework, to price and benchmark Enterprise Value for valuation and credit risk assessment