The group of strong Galois objects associated to a cocommutative Hopf quasigroup

Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set of isomorphism classes of (strong) Galois H-objects is a (group) monoid which coincides, in the Hopf algebra setting, with the Galois group of H-Galois objects introduced by Chase and Sweedler

Aportaciones al conocimiento de la estructura del sinclinorio de Verín

Resumen] Los materiales precámbricos, ordovícicos y silúricos del Sinclinorio de Ver!n están afectados por una deformación polifásica, acompañada de un metamorfismo regional de presión intermedia-baja durante el hercínico. Los datos estructurales obtenidos indican una disposición subhorizontal para la esquistosidad primaria, en toda la sucesión metasedimentaria, antes de ser afectada por las fases posteriores. Este hecho, difiere de lo considerado anteriormente en el sentido de la existencia de una importante fase de deformación a comienzos del Silúrico, atestiguada por la existencia de una esquistosidad primaria en abanico, a escala del sinclinorio, afectando únicamente a los materiales presilúricos. La verticalización de la esquistosidad primaria en los flancos del sinclinorio, sus suaves buzamientos en el sector S de la zona de charnela central y el desarrollo de una esquistosidad de crenulación muy.penetrativa en el sector N de la misma, son hechos explicables teniendo en cuenta el papel que ha jugado el basamento granítico irregular y el macizo básico de Braganza su-oprayacente.[Abstract] The precambrian, ordovician and silurian materials outcropping in the Verín sinclyne have undergone the effects of a poliphase deformation during the Hercynian cycle. The deformation is synchronous with an intermediate low pressure type regional metamorphism. The existence of·a pre-silurian deformation phase is discarded. It is shown that the sttitude of the cleavages within the sinclyne is controlled by the irregular granitic basement and the overlying Braganza massi

Computational multifocus fluorescence microscopy for three-dimensional visualization of multicellular tumor spheroids

Significance: Three-dimensional (3D) visualization of multicellular tumor spheroids (MCTS) in fluorescence microscopy can rapidly provide qualitative morphological information about the architecture of these cellular aggregates, which can recapitulate key aspects of their in vivo counterpart. Aim: The present work is aimed at overcoming the shallow depth-of-field (DoF) limitation in fluorescence microscopy while achieving 3D visualization of thick biological samples under study. Approach: A custom-built fluorescence microscope with an electrically focus-tunable lens was developed to optically sweep in-depth the structure of MCTS. Acquired multifocus stacks were combined by means of postprocessing algorithms performed in the Fourier domain. Results: Images with relevant characteristics as extended DoF, stereoscopic pairs as well as reconstructed viewpoints of MCTS were obtained without segmentation of the focused regions or estimation of the depth map. The reconstructed images allowed us to observe the 3D morphology of cell aggregates. Conclusions: Computational multifocus fluorescence microscopy can provide 3D visualization in MCTS. This tool is a promising development in assessing the morphological structure of different cellular aggregates while preserving a robust yet simple optical setup

Ecuaciones de resistencia al flujo para ríos de montaña

Three models of flow resistance (a Keulegan-type logarithmic law and two models developed for large-scale roughness conditions: the full logarithmic law and a model based on an inflectional velocity profile) were calibrated, validated and compared using an extensive database (N = 1,533) from rivers and flumes, representative of a wide hydraulic and geomorphologic range in the field of gravel-bed and mountain channels. It is preferable to apply the model based on an inflectional velocity profile in the relative submergence (y/d90) interval between 0.5 and 15, while the full logarithmic law is preferable for values below 0.5. For high relative submergence, above 15, either the logarithmic law or the full logarithmic law can be applied. The models fitted to the coarser percentiles are preferable to those fitted to the median diameter, owing to the higher explanatory power achieved by setting a model, the smaller difference in the goodness-of-fit between the different models and the lower influence of the origin of the data (river or flume).Se han calibrado, validado y comparado tres modelos de resistencia al flujo (una ley logarítmica tipo Keulegan y dos modelos desarrollados para condiciones de alta rugosidad: la ley logarítmica completa y un modelo basado en un perfil de velocidad inflexional) empleando para ello una extensa base de datos (N = 1,533) de río y de laboratorio, representativa de un amplio intervalo hidráulico y geomorfológico en el ámbito de cauces de grava y de montaña. El modelo basado en un perfil de velocidad inflexional es preferible para su aplicación en el intervalo de sumersión relativa (y/d90) comprendido entre 0,5 y 15, mientras que la ley logarítmica completa es preferible para valores inferiores a 0,5. Para sumersión relativa alta, por encima de 15, es posible aplicar indistintamente la ley logarítmica y la ley logarítmica completa. Son preferibles los modelos ajustados con los percentiles más gruesos que los ajustados con el diámetro mediano, debido a: la mayor capacidad explicativa alcanzada fijado un modelo, la menor diferencia en la bondad de ajuste entre los diferentes modelos y la menor influencia del origen de los datos (río o laboratorio)

Smash (co)products and skew pairings

Let [tau] be an invertible skew pairing on (B,H), where B and H are Hopf algebras in a symmetric monoidal category C with (co)equalizers. Assume that H is quasitriangular. Then we obtain a new algebra structure such that B is a Hopf algebra in the braided category HHYD and there exists a Hopf algebra isomorphism w: B[infinity]H --> B [tau]H in C, where B[infinity]H is a Hopf algebra with (co)algebra structure the smash (co)product and B [tau] H is the Hopf algebra defined by Doi and Takeuchi