Copulas: compatibility and Fr\'echet classes

We determine under which conditions three bivariate copulas are compatible, viz. they are the bivariate marginals of the same trivariate copula, and, then, construct the class of these copulas. In particular, the upper and lower bounds for this class of trivariate copulas are determined.Comment: LaTeX, 14 page

Supports of quasi-copulas

It is known that for every s∈]1, 2[there is a copula whose support is a self-similar fractal set with Hausdorff —and box-counting— dimension s. In this paper we provide similar results for (proper) quasi-copulas, in both the bivariate and multivariate cases

Indicadores de Sostenibilidad de vivienda asequible para la ciudad de Cuenca-Ecuador

Introduction: This paper analyzes urban sustainability, which is a recent vision that combines environmental protection, social participation, and equitable economic growth to solve the many social problems that exist and at the same time increase quality. of people's lives, on the other hand when talking about quality we can refer to affordable housing which is a type of housing that combines all the comforts of a normal home with a responsible management of environmental, economic, and social resources. Main objective: to design a group of urban sustainability indicators focused on affordable housing for the City of Cuenca-Ecuador. Methodology: charitable approach through a bibliographic review of works and international and national regulations that regulate the design of these indicators. Results: Finally, it was obtained as a result that the employment rate of the city is 58.65%, there is one garbage collection vehicle for every 15,432 inhabitants and only 28.98% of the average monthly salary of the citizens of Cuenca is destined to payment of basic servicesIntroducción: En el presente trabajo se analiza a la sostenibilidad urbana la cual es una visión reciente que combina la protección del medio ambiente, participación social y crecimiento económico equitativo con la finalidad de solucionar los muchos problemas sociales que existen y al mismo tiempo incrementar la calidad de vida de las personas, por otra parte al hablar de calidad podemos hacer referencia a la vivienda asequible la cual es un tipo de vivienda que combina todas las comodidades de una vivienda normal con un manejo responsable de los recurso ambientales, económicos y sociales. Objetivo principal: diseñar un grupo de indicadores de sostenibilidad urbana enfocados en la vivienda asequible para la Ciudad de Cuenca-Ecuador. Metodología: enfoque caritativo mediante una revisión bibliográfica de trabajos y normativas internacionales y nacionales que regulen el diseño de estos indicadores. Resultados: Finalmente se obtuvo como resultado que la tasa de empleo de la ciudad es del 58.65%, existe 1 vehículo de recolección de basura por cada 15432 habitantes y solo el 28.98% del salario promedio mensual de los ciudadanos de cuenca se destina a pago de servicios básico

Total positivity and dependence of order statistics

In this comprehensive study, we delve deeply into the concept of multivariate total positivity, defining it in accordance with a direction. We rigorously explore numerous salient properties, shedding light on the nuances that characterize this notion. Furthermore, our research extends to establishing distinct forms of dependence among the order statistics of a sample from a distribution function. Our analysis aims to provide a nuanced understanding of the interrelationships within multivariate total positivity and its implications for statistical analysis and probability theory

A generalization of a copula-based construction of fuzzy implications

In this paper we complement and generalize some constructions of fuzzy implications based on two arbitrary copulas, obtaining new fuzzy implications. By means of (restricted) aggregation functions acting on [0, 1]S, where Sis a fixed finite or infinite set, and related S-systems of fuzzy implications and transforming functions, we introduce and discuss a rather general method for constructing fuzzy implications. Several examples illustrating our results are also included

Indicadores de sostenibilidad urbana para la ciudad de Cuenca: Desechos residenciales sólidos y de construcción

Introduction. The development and urban changes in the city of Cuenca are like other locations of the region. A region where the implementation of urban sustainability indicators guides the different cities to the search of approaches that promote the sustainable development of its three main axis: economic, environmental, and social; generating benefits to the environment at the same time as well as the quality of life of its inhabitants. Objective. The objective of this investigation is to determine the urban sustainability indicators, construction and residential waste that could apply to Cuenca city. Methodology. This investigation is going to be develop by using a methodology that involves investigation, revision, and compilation of existent literature of the international framework about the sustainability indicators. In addition, the creation of a framework will help to design a matrix of basic indicators for construction and solid waste. Thus, these indicators are going to be homologated based on their similar criteria with respect of the initial objectives; evaluation and methodology to obtain a set of urban construction and solid waste sustainability indicators that can be applied at local level in Cuenca. These indicators are going to be valid throughout some experts’ criteria that back them up in the adequacy, clearness, importance, and coherence sense of the presented indicators. Results. Finally, with the obtained information from Municipal Public Company of Clean de Cuenca-EMAC-EP, four indicators will be applied to determine whether the city presents sustainability indexes with respect to construction and solid waste management. Conclusion. The results of the presented research will be important because of its capacity to contribute to the sustainability development of the city.Introducción. En la ciudad de Cuenca, el desarrollo y los cambios urbanos no son distintos a los de otras localidades de la región. Donde la implementación de indicadores de sostenibilidad urbana, guían a las ciudades en la búsqueda de enfoques que promueven el desarrollo sostenible en sus tres ejes principales: económico, ambiental y social, generando beneficios al medio ambiente y a la calidad de vida de sus habitantes. Objetivo. El objetivo de esta investigación es determinar los indicadores de sostenibilidad urbana, de desechos residenciales sólidos y de construcción que se puedan aplicar a la ciudad de Cuenca. Metodología. Mediante una metodología que involucra la investigación, revisión y recopilación de literatura existente acerca de los marcos internacionales de indicadores de desarrollo sostenible. Determinación de un marco de referencia que ayudara a la elaboración de una matriz de indicadores básicos de residuos sólidos y de construcción, que posteriormente son homologados en base a su similitud de criterios en cuanto a los objetivos y metodologías de calificación, obteniendo de esta manera un set de indicadores de sostenibilidad urbana de desechos residenciales sólidos y de construcción que pueden ser aplicados a nivel local de la ciudad de Cuenca. Estos indicadores serán validados mediante un juicio de expertos que darán su aporte en cuanto a suficiencia, claridad, relevancia y coherencia de cada uno de los indicadores presentados. Resultados. Finalmente, con información obtenida de la Empresa Pública Municipal de Aseo de Cuenca – EMAC-EP, se realizará la aplicación de 4 indicadores para determinar si la cuidad presenta índices de sostenibilidad en cuanto a gestión de desechos sólidos y de construcción. Conclusión. Los resultados obtenidos dentro de la presente investigación serán de importancia debido a que contribuyen al desarrollo sostenible de la ciudad

Synthesis and screening of 6‐alkoxy purine analogs as cell type‐selective apoptotic inducers in Jurkat cells

Ministerio de Ciencia e Innovacion, Grant/Award Number: RTC-2017-6620; Ministerio de Educacion, Cultura y Deporte, Grant/Award Number: FPU 14/00818Purines are ubiquitous structures in cell biology involved in a multitude of cellular processes, because of which substituted purines and analogs are considered excellent scaffolds in drug design. In this study, we explored the key structural features of a purine‐based proapoptotic hit, 8‐tert‐butyl‐9‐phenyl‐6‐benzyloxy‐9Hpurine (1), by setting up a library of 6‐alkoxy purines with the aim of elucidating the structural requirements that govern its biological activity and to study the cell selectivity of this chemotype. This was done by a phenotypic screening approach based on cell cycle analysis of a panel of six human cancer cell lines, including T cell leukemia Jurkat cells. From this study, two derivatives (12 and 13) were identified as Jurkat‐selective proapoptotic compounds, displaying superior potency and cell selectivity than hit 1.Instituto de Salud Carlos III Spanish Government European Commission RTC-2017-6620Ministerio de Educacion, Cultura y Deporte FPU 14/0081

First experiment: Fragmentation of ions relevant for space and therapy

Nuclear fragmentation processes are relevant in different fields of basic research and applied physics and are of particular interest for tumor therapy and for space radiation protection applications. The FIRST (Fragmentation of Ions Relevant for Space and Therapy) experiment at SIS accelerator of GSI laboratory in Darmstadt, has been designed for the measurement of different ions fragmentation cross sections at different energies between 100 and 1000 MeV/nucleon. The experiment is performed by an international collaboration made of institutions from Germany, France, Italy and Spain. The experimental apparatus is partly based on an already existing setup made of the ALADIN magnet, the MUSIC IV TPC, the LAND2 neutron detector and the TOFWALL scintillator TOF system, integrated with newly designed detectors in the interaction Region (IR) around the carbon removable target: a scintillator Start Counter, a Beam Monitor drift chamber, a silicon Vertex Detector and a Proton Tagger for detection of light fragments emitted at large angles (KENTROS). The scientific program of the FIRST experiment started on summer 2011 with the study of the 400 MeV/nucleon 12C beam fragmentation on thin (8mm) carbon target