Algebraic treatment of the confluent Natanzon potentials

Using the so(2,1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green's function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound-state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases.Comment: 9 page

Relation-based Galois connections: towards the residual of a relation

Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego, Relation-based Galois connections: towards the residual of a relation, CMMSE 2017: Proceedings of the 17th International Conference on Mathematical Methods in Science and Engineering ( ISBN: 978-84-617-8694-7) , pp. 469--475We explore a suitable generalization of the notion of Galois connection in which their components are binary relations. Many different approaches are possible depending both on the (pre-)order relation between subsets in the underlying powerdomain and the chosen type of relational composition.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Dry Merger Rate and Post-merger Fraction in the Coma Cluster Core

We evaluate the dry merger activity in the Coma cluster, using a spectroscopically complete sample of 70 red-sequence (RS) galaxies, most of which (~75%) are located within 0.2R200 (~0.5 Mpc) from the cluster center, with data from the Coma Treasury Survey obtained with the Hubble Space Telescope. The fraction of close galaxy pairs in the sample is the proxy employed for the estimation of the merger activity. We identify 5 pairs and 1 triplet, enclosing a total of 13 galaxies, based on limits on projected separation and line-of-sight velocity difference. Of these systems, none show signs of ongoing interaction, and therefore we do not find any true mergers in our sample. This negative result sets a 1{\sigma} upper limit of 1.5% per Gyr for the major dry merger rate, consistent with the low rates expected in present-day clusters. Detailed examination of the images of all the RS galaxies in the sample reveals only one with low surface brightness features identifiable as the remnant of a past merger or interaction, implying a post-merger fraction below 2%.Comment: 7 pages, 4 figures, 1 tabl

Supertubes versus superconducting tubes

In this paper we show the relationship between cylindrical D2-branes and cylindrical superconducting membranes described by a generic effective action at the bosonic level. In the first case the extended objects considered, arose as blown up type IIA superstrings to D2-branes, named supertubes. In the second one, the cosmological objects arose from some sort of field theories. The Dirac-Born-Infeld action describing supertubes is shown to be equivalent to the generic effective action describing superconducting membranes via a special transformation.Comment: Version with minor text changes with respect to the already publishe

Stratospheric Variability and Trends in Models Used for the IPCC AR4

Atmosphere and ocean general circulation model (AOGCM) experiments for the Intergovernmental Panel on Climate Change Fourth Assessment Report (AR4) are analyzed to better understand model variability and assess the importance of various forcing mechanisms on stratospheric trends during the 20th century. While models represent the climatology of the stratosphere reasonably well in comparison with NCEP reanalysis, there are biases and large variability among models. In general, AOGCMs are cooler than NCEP throughout the stratosphere, with the largest differences in the tropics. Around half the AOGCMs have a top level beneath ~2 hPa and show a significant cold bias in their upper levels (~10 hPa) compared to NCEP, suggesting that these models may have compromised simulations near 10 hPa due to a low model top or insufficient stratospheric levels. In the lower stratosphere (50 hPa), the temperature variability associated with large volcanic eruptions is absent in about half of the models, and in the models that do include volcanic aerosols, half of those significantly overestimate the observed warming. There is general agreement on the vertical structure of temperature trends over the last few decades, differences between models are explained by the inclusion of different forcing mechanisms, such as stratospheric ozone depletion and volcanic aerosols. However, even when human and natural forcing agents are included in the simulations, significant differences remain between observations and model trends, particularly in the upper tropical troposphere (200 hPa–100 hPa), where, since 1979, models show a warming trend and the observations a cooling trend

The sustainability of communicative packaging concepts in the food supply chain. A case study: part 1. Life cycle assessment

Purpose In recent years, a new perspective for food packaging has emerged as a result of several issues like quality, safety, competitive prices or providing of useful information to consumers. This new perspective is called communicative packaging. Communicative packaging may influence consumers/companies on purchasing decisions. Since the environmental evaluation of such systems has not yet been performed, this paper is focused on the environmental evaluation of a flexible best-before-date (FBBD) communicative device on a packaging consumer unit and its implications on reducing environmental impacts related to fresh products. This consumer unit consists of a nanoclay-based polylactic acid tray filled with pork chops. Methods The environmental assessment of the consumer unit was made through life cycle assessment (LCA) using a cradle-to-gate approach. Environmental impacts were assessed according to the Eco-Indicator 99 v 2.1 methodology in Individualist (I) perspective. Results and discussion Several results were obtained from the LCA. With regard to environmental impacts of the FBBD, most of them were due to the paper substrate used for the manufacture of this communicative packaging concept as well as to the transports for delivering the components of the FBBD communicative device. On the other hand, when environmental impacts of packaging system with and without FBBD were compared, a large environmental load was detected for the system that has the communicative device affixed as a result of the higher weight of the package. However, the environmental load caused by the use of the FBBD was minimal in comparison with the total environmental load of the whole packaging system. On the contrary, the consumer unit that has the communicative device affixed showed less environmental burden than the consumer unit that has not affixed the device. This was due to the environmental benefits that the communicative device provides by reducing the amount of out-of-date packaged products at retailer outlets. Conclusions The use of a FBBD contributes to minimize environmental burdens related to the production, packaging and delivery of pork chops since it facilitates a dynamic control of out-of-date products even though the consumer unit with FBBD weighs 1 g more than the consumer unit that does not use the communicative device. Recommendations The results presented in this paper are estimated results of a specific case study for a prototype of communicative packaging device. Consequently, these results must be considered as a first approach according to future developments on communicative packaging

The Effect of Zonally Asymmetric Ozone Heating on the Northern Hemisphere Winter Polar Stratosphere

[1] Previous modeling studies have found significant differences in winter extratropical stratospheric temperatures depending on the presence or absence of zonally asymmetric ozone heating (ZAOH), yet the physical mechanism causing these differences has not been fully explained. The present study describes the effect of ZAOH on the dynamics of the Northern Hemisphere extratropical stratosphere using an ensemble of free-running atmospheric general circulation model simulations over the 1 December - 31 March period. We find that the simulations including ZAOH produce a significantly warmer and weaker stratospheric polar vortex in mid-February due to more frequent major stratospheric sudden warmings compared to the simulations using only zonal mean ozone heating. This is due to regions of enhanced Eliassen-Palm flux convergence found in the region between 40°N–70°N latitude and 10–0.05 hPa. These results are consistent with changes in the propagation of planetary waves in the presence of ZAOH predicted by an ozone-modified refractive index

Método de medición de tensiones en un estanque para almacenar propano

El objetivo de este trabajo es el análisis experimental de tensiones aplicado a un estanque cilíndrico horizontal con cabezales semiesféricos, para almacenar propano hasta una capacidad de 400 metros cúbicos. La obtención de las mediciones se hizo sobre la base del uso de cintas extensométricas resistivas, que se instalaron en su mayor parte en las zonas críticas del estanque. Los resultados experimentales se comparan con valores teóricos, dados por diversas teorías. Las mediciones se efectuaron durante la prueba hidráulica, que debe realizarse obligadamente como una prueba de seguridad y confiabilidad antes de la puesta en servicio. Todas las medidas experimentales, excepto aquellas realizadas junto a la silla de apoyo, concuerdan con lo que predice la teoría de cáscaras

Fuzzy Adjunctions revisited

En este trabajo se intenta obtener la noción de adjunción más débil entre estructuras difusas. Este trabajo continúa la línea de investigación en el estudio y construcción d adjunciones que han realizado los autores en contribuciones anteriores. Nos centraremos ahora en la noción de relación difusa que es en cierto sentido interpretable como una función difusa. Existen varios trabajos en la literatura relacionados con este tema. Entre todos ellos, trabajaremos con un enfoque próximo al de Ciric et al cuando definen las denominadas funciones parciales difusas. El nuevo concepto estudiado es el de relaciones difusas funcionales y la construcción de adjunciones entre ellas.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech