About the analytic classification of plane curves : curves whose difference between the Milnor and Tjurina numbers is at most one

RESUMEN: En este trabajo vamos a introducir algunas herramientas básicas sobre los gérmenes de curvas planas irreducibles para poder analizar dos casos de clasificación analítica de curvas planas. Entre estas herramientas destacan los exponentes característicos, el semigrupo de una curva, el número de Milnore invariantes analíticos como el número de Tjurina o el invariante lambda de Zariski. En la última sección definiremos el invariante analítico r, que es la diferencia entre el número de Milnor y el de Tjurina, para poder clasificar analíticamente a curvas que cumplan r = 0 y r = 1.ABSTRACT: In this work we introduce some basic tools about the germs of plane irreducible curves in order to study two cases about analytic classification of plane curves. This tools are, for instance, the charac- teristic exponents, the semigroup of a curve, the Milnor number and analytic invariants such as the Tjurina number and the lambda invariant of Zariski. In the last section we are going to define the r invariant, which is the difference between the Milnor number and the Tjurina number, in order to classify analytically plane curves with r = 0 and r = 1.Máster en Matemáticas y Computació

Properties of Statistical Depth with Respect to Compact Convex Random Sets: The Tukey Depth

We study a statistical data depth with respect to compact convex random sets, which is consistent with the multivariate Tukey depth and the Tukey depth for fuzzy sets. In addition, it provides a different perspective to the existing halfspace depth with respect to compact convex random sets. In studying this depth function, we provide a series of properties for the statistical data depth with respect to compact convex random sets. These properties are an adaptation of properties that constitute the axiomatic notions of multivariate, functional, and fuzzy depth-functions and other well-known properties of depth.For L.G.-D.L.F. and A.N.-R., this research was supported by grant MTM2017-86061-C2-2-P funded by MCIN/AEI/10.13039/501100011033 and “ERDF A way of making Europe”. P.T. was supported by the Ministerio de Economía y Competitividad grant MTM2015-63971-P, the Ministerio de Ciencia, Innovación y Universidades grant PID2019-104486GB-I00, and the Consejería de Empleo, Industria y Turismo del Principado de Asturias grant GRUPIN-IDI2018-000132

Statistical depth for fuzzy sets

Statistical depth functions provide a way to order the elements of a space by their centrality in a probability distribution. That has been very successful for generalizing non-parametric order-based statistical procedures from univariate to multivariate and (more recently) to functional spaces. We introduce two general definitions of statistical depth which are adapted to fuzzy data. For that purpose, two concepts of symmetric fuzzy random variables are introduced and studied. Furthermore, a generalization of Tukey's halfspace depth to the fuzzy setting is presented and proved to satisfy the above notions, through a detailed study of its properties.A. Nieto-Reyes and L. Gonzalez are supported by the Spanish Ministerio de Economía, Industria y Competitividad grant MTM2017-86061-C2-2-P. P. Terán is supported by the Ministerio de Economía y Competitividad grant MTM2015-63971-P, the Ministerio de Ciencia, Innovación y Universidades grant PID2019-104486GB-I00 and the Consejería de Empleo, Industria y Turismo del Principado de Asturias grant GRUPIN-IDI2018-000132

Physiological responses to water stress and stress memory in Argania spinosa

Drought stress is one of the major abiotic stress factors shifting the physiology and metabolism of the plants. In semiarid areas, drought stress events are often recurrent, and plants have developed strategies to remember a first so-called priming stress to eventually respond more effectively to a second triggering stress. In this study, we tested several physiological and morphological variables in Argania spinosa (L.) Skeels plants, growing in greenhouse conditions under a drought treatment induced by water withholding. Two sequential one-month periods of water stress were imposed to understand the stress memory events in this species The plants were divided into two groups depending on the treatment applied (irrigated and stressed) which later, after one month of a recuperation phase, were divided again into two more groups (having a total of four at the end of the study). Leaf samples were periodically taken and relative water content, gas exchange, chlorophyll content and other variables were measured, analysed and compared between those groups. Plants, which have suffered the two sequential water stress periods, were more affected according to several variables than plants subjected to only one stress treatment, so we finally conclude that this species does not seem to have any drought stress memory mechanisms for the studied variables, under the conditions of this experiment

Relation of resistin levels with cardiovascular risk factors, insulin resistance and inflammation in naı¨ve diabetes obese patients

Producción CientíficaBackground: The aim of the present study was to explore the relationship of resistin levels with cardiovascular risk factors, insulin resistance and inflammation in naı¨ve diabetic patients. Subjects: A population of 66 naı¨ve diabetic patients with obesity was analyzed. A complete nutritional and biochemical evaluation was performed. Results: The mean age 56.9 11.6 years and the mean BMI was 37.8 6.3. Patients were divided in two groups by median resistin value (3.3 ng/ml), group I (patients with the low values, average value 2.5 0.5) and group II (patients with the high values, average value 4.8 1.8). Patients in the group I had lower waist circumference, total cholesterol, LDLcholesterol and C-reactive protein than patients in group II. Correlation analysis showed a significant correlation among resistin levels and the independent variables; BMI (r = 0.26; p < 0.05), waist circumference (r = 0.38; p < 0.05), fat mass (r = 0.28; p < 0.05), LDL-cholesterol (r = 0.3; p < 0.05), C-reactive protein (r = 0.28; p < 0.05). In the multivariate analysis, resistin concentration increase 0.024 ng/ml (CI 95%: 0.006–0.42) for each mg/dl of C-reactive protein. Conclusion: Circulating resistins are associated with C-reactive protein in an independent way in naı¨ve diabetic patients

Versatility of therapeutic reduction mammoplasty in oncoplastic breast conserving surgery

Oncoplastic breast conserving surgery is the gold standard approach for the surgical treatment of early breast cancer. There is a well defined technique named “therapeutic mammoplasty” which is characterized for using a reduction mammaplasty technique to treat breast cancer conservatively. In our current practice, “therapeutic mammoplasty” or therapeutic reduction mammaplasty is our favorite oncoplastic breast conserving approach which it used in almost half of our patients. This technique is very versatile allows us the resection of tumors located in all breast quadrants of patients with moderate-to large-sized breasts. We describe a series of 57 patients who were treated using a therapeutic reduction mammaplasty. All surgical procedures were carried out by one comprehensive breast surgeon who planned and designed the surgery performing both oncologic and reconstructive procedures. Surgical margins were insufficient in eight patients (14%). Nine patients (15.8%) had a complication in early postoperative period and in one of them adjuvant radiotherapy was delayed four months due to a wound dehiscence

Thermodynamics of mixtures containing a very strongly polar compound. 12. Systems with nitrobenzene or 1-nitroalkane and hydrocarbons or 1-alkanols

Mixtures involving nitrobenzene and hydrocarbons, or 1-alkanols and 1-nitroalkane, or nitrobenzene have been investigated on the basis of a whole set of thermophysical properties available in the literature. The properties considered are: excess molar functions (enthalpies, entropies, isobaric heat capacities, and volumes), vapour-liquid and liquid-liquid equilibria, permittivities or dynamic viscosities. In addition, the mixtures have been studied by means of the application of the DISQUAC, ERAS, and UNIFAC models, and using the formalism of the concentration-concentration structure factor. The corresponding interaction parameters in the framework of the DISQUAC and ERAS models are reported. In alkane mixtures, dipolar interactions between 1-nitroalkane molecules are weakened when the size of the polar compound increases, accordingly with the relative variation of their effective dipolar moment. Dipolar interactions are stronger in nitrobenzene solutions than in those containing the smaller 1-nitropropane, although both nitroalkanes have very similar effective dipole moment (aromaticity effect). Systems with 1-alkanols are characterized by dipolar interactions between like molecules which sharply increases when the alkanol size increases. Simultaneously, interactions between unlike molecules become weaker, as the OH group is then more sterically hindered. Interactions between unlike molecules are stronger in systems with nitromethane than in nitrobenzene solutions. The replacement of nitromethane by nitroethane in systems with a given 1-alkanol leads to strengthen those effects related with the alcohol self-association. Permittivity data and results on Kirkwood's correlation factors show that the addition of 1-alkanol to a nitroalkane leads to cooperative effects, which increase the dipolar polarization of the solution, in such way that the destruction of the existing structure in pure liquids is partially counterbalanced. This effect is less important when longer 1-alkanols are involved.Consejería de Educacion y Cultura of Junta deCastilla y Leon, under Project BU034U1

Cyber physical systems implementation for asset management improvement: A framework for the transition

Libro en Open AccessThe transformation of the industry due to recent technologies introduction is an evolving process whose engines are competitiveness and sustainability, understood in its broadest sense (environmental, economic and social). This process is facing, due to the current state of scientific and technological development, a new challenge yet even more important: the transition from discrete technological solutions that respond to isolated problems, to a global conception where the assets, plant, processes and engineering systems are conceived, designed and operated as an integrated complex unit. This vision is evolving besides a set of concepts that are, in some way, to guide this development: Smart Factories, Cyber-Physical Systems, Factory of the Future or Industry 4.0, are examples. The full integration of the operation and maintenance (O&M) processes in the production systems is a key topic within this new paradigm. Not only that, this evolution necessarily results in the emergence of new processes and needs of O&M, i.e. also, the O&M will undergo a profound transformation. The transition from actual isolated production assets to such Industry 4.0 with CPS is far from easy. This document presents a proposal to develop such transition adapting one iteration of the Model of Maintenance Management (MMM) integrated into ISO 55000 to the complexity of incorporating “System of Systems” CPSs maintenance. It involves several stages: identification, prioritization, risk management, planning, scheduling, execution, control, and improvement supported by system engineering techniques and agile/concurrent project managemen

Orientational effects in alkanone, alkanal or dialkyl carbonate + alkane mixtures and in alkanone + alkanone or + dialkyl carbonate systems

Interactions and structure of alkanone, or alkanal or dialkyl carbonate + alkane mixtures, or of 2-alkanone + 2-alkanone, or of ketone + dialkyl carbonate systems have been investigated by means of a set of thermodynamic properties and by the application of the Flory model. The properties considered are excess molar quantities: enthalpies, HmE, volumes, VmE, or isobaric heat capacities, CpmE, and liquid-liquid equilibria. Experimental data show that alkane mixtures are characterized by rather strong dipolar interactions. In the case of systems containing ketones with the same number of C atoms and a given alkane, dipolar interactions become weaker in the sequence: aromatic > cyclic > linear. In addition, the mentioned interactions become also weaker in the order: dialkyl carbonate > linear alkanone > linear alkanal. This is an important result, as carbonates show lower effective dipole moments than the other compounds, and it suggests that the group size may be relevant when evaluating thermodynamic properties of liquid mixtures. Results on HmE from the Flory model show that orientational effects (i.e., non-random mixing) are rather similar for systems with linear, cyclic or aromatic ketones or alkanals and alkanes. In contrast, orientational effects become weaker in dialkyl carbonate + alkane mixtures. The behavior of 2-alkanone + 2-alkanone systems and of mixtures of longer 2-alkanones or cyclohexanone with dialkyl carbonate is close to random mixing. Larger orientational effects are encountered in solutions of carbonates and shorter 2-alkanones.Consejería de Educación y Cultura of Junta de Castilla y León, under Project BU034U16

Impacto del envejecimiento en la calidad de vida de los trabajadores con discapacidad intelectual

The increased life-expectancy of people with intellectual disability is generating new needs for attention and care that can assist healthy aging. This question is accentuated among workers from Special Employment Centers, for whom aging has a twofold impact, in so far as it interferes with their professional development and their means of earning a living. A study is conducted with a sample of 49 workers from a Special Employment Center, with the objective of analyzing the quality of life of people with intellectual disability. The information was gathered with the INICO-FEAPS Integral Evaluation Scale of the Quality of Life of People with Intellectual Disability. The Mann-Whitney U test; Spearman test and Anova are used for data analysis. The results highlighted the importance of age on quality-of-life deterioration, evident from lower scores for emotional wellbeing, social inclusion and social relations, among others, as well as the differences according to gender and training of the group. The need is noted to establish challenges and proposals that will minimize the negative impacts of aging on the journey towards a non-active stage. One limitation of the study is the need for larger sample sizes.El incremento en la esperanza de vida de las personas con discapacidad intelectual está generando nuevas necesidades de atención y cuidados que garanticen un envejecimiento saludable. Esta cuestión se acentúa en los trabajadores de los Centros Especiales de Empleo, para quienes el envejecimiento impacta doblemente al interferir en su desempeño profesional y su medio de vida. Con el objetivo de analizar la calidad de vida de personas con discapacidad intelectual, se realiza un estudio con una muestra de 49 trabajadores de un centro especial de empleo. La recogida de información se realiza mediante la Escala INICO-FEAPS de Evaluación Integral de la Calidad de Vida de Personas con Discapacidad Intelectual o del Desarrollo. Se realizan las pruebas U de Mann-Whitney; correlación de Spearman y Anova para el análisis de datos. Los resultados señalan la importancia de la edad en el deterioro de la calidad de vida que se manifiesta en peores puntuaciones en el bienestar emocional, inclusión social y relaciones interpersonales, entre otras, así como diferencias según el sexo y formación del colectivo. Se constata la necesidad de establecer retos y propuestas que minimicen los impactos negativos del envejecimiento en el tránsito hacia una etapa no activa. Es necesario ampliar el estudio con muestras más grandes