Dilations of Gamma-contractions by solving operator equations

For a contraction P and a bounded commutant S of P. we seek a solution X of the operator equation S - S*P = (1 - P* P)(1/2) X (1 - P* P)(1/2) where X is a bounded operator on (Ran) over bar (1 - P* P)(1/2) with numerical radius of X being not greater than 1. A pair of bounded operators (S, P) which has the domain Gamma = {(z(1) + z(2), z(2)): vertical bar z(1)vertical bar < 1, vertical bar z(2)vertical bar <= 1} subset of C-2 as a spectral set, is called a P-contraction in the literature. We show the existence and uniqueness of solution to the operator equation above for a Gamma-contraction (S, P). This allows us to construct an explicit Gamma-isometric dilation of a Gamma-contraction (S, P). We prove the other way too, i.e., for a commuting pair (S, P) with parallel to P parallel to <= 1 and the spectral radius of S being not greater than 2, the existence of a solution to the above equation implies that (S, P) is a Gamma-contraction. We show that for a pure F-contraction (S, P), there is a bounded operator C with numerical radius not greater than 1, such that S = C + C* P. Any Gamma-isometry can be written in this form where P now is an isometry commuting with C and C. Any Gamma-unitary is of this form as well with P and C being commuting unitaries. Examples of Gamma-contractions on reproducing kernel Hilbert spaces and their Gamma-isometric dilations are discussed. (C) 2012 Elsevier Inc. All rights reserved.

Tensile flow and work hardening behavior of hot cross-rolled AA7010 aluminum alloy sheets

The present work describes the tensile flow and work hardening behavior of a high strength 7010 aluminum alloy by constitutive relations. The alloy has been hot rolled by three different cross-rolling schedules. Room temperature tensile properties have been evaluated as a function of tensile axis orientation in the as-hot rolled as well as peak aged conditions. It is found that both the Ludwigson and a generalized Voce-Bergstrom relation adequately describe the tensile flow behavior of the present alloy in all conditions compared to the Hollomon relation. The variation in the Ludwigson fitting parameter could be correlated well with the microstructural features and anisotropic contribution of strengthening precipitates in the as-rolled and peak aged conditions, respectively. The hardening rate and the saturation stress of the first Voce-Bergstrom parameter, on the other hand, depend mainly on the crystallographic texture of the specimens. It is further shown that for the peak aged specimens the uniform elongation (epsilon(u)) derived from the Ludwigson relation matches well with the measured epsilon(u) irrespective of processing and loading directions. However, the Ludwigson fit overestimates the epsilon(u) in case of the as-rolled specimens. The Hollomon fit, on the other hand, predicts well the measured epsilon(u), of the as-rolled specimens but severely underestimates the epsilon(u), for the peak aged specimens. Contrarily, both the relations significantly overestimate the UTS of the as-rolled and the peak aged specimens. The Voce-Bergstrom parameters define the slope of e Theta-sigma plots in the stage-III regime when the specimens show a classical linear decrease in hardening rate in stage-III. Further analysis of work hardening behavior throws some light on the effect of texture on the dislocation storage and dynamic recovery.

Room-temperature anelasticity and viscoplasticity of Cu-Zr bulk metallic glasses evaluated using nanoindentation

Anelastic and viscoplastic characteristics of Cu50Zr50 and Cu65Zr35 binary bulk metallic glasses at room temperature were examined through nanoindentation creep experiments. Results show that both the deformations are relatively more pronounced in Cu50Zr50 than in Cu65Zr35, and their amount increases with the loading rate. The results are analyzed in terms of the influences of structural defects and loading rate on the room temperature indentation creep.

On the Chern number of I-admissible filtrations of ideals

Let I be an m-primary ideal of a Noetherian local ring (R, m) of positive dimension. The coefficient e(1)(I) of the Hilbert polynomial of an I-admissible filtration I is called the Chern number of I. A formula for the Chern number has been derived involving the Euler characteristic of subcomplexes of a Koszul complex. Specific formulas for the Chern number have been given in local rings of dimension at most two. These have been used to provide new and unified proofs of several results about e(1)(I).

Comparison of structural and luminescence properties of Dy2O3 nanopowders synthesized by co-precipitation and green combustion routes

Dysprosium oxide (Dy2O3) nanopowders were prepared by co-precipitation (CP) and eco-friendly green combustion (GC) routes. SEM micrographs prepared by CP route show smooth rods with various lengths and diameters while, GC route show porous, agglomerated particles. The results were further confirmed by TEM. Thermoluminescence (TL) responses of the nanopowder prepared by both the routes were studied using gamma-rays. A well resolved glow peak at 353 degrees C along with less intense peak at 183 degrees C was observed in GC route while, in CP a single glow peak at 364 degrees C was observed. The kinetic parameters were estimated using Chen's glow peak route. Photoluminescence (PL) of Dy2O3 shows peaks at 481, 577,666 and 756 nm which were attributed to Dy3+ transitions of F-4(9/2)-H-6(15/2), H-6(11/2), H-6(11/2) and H-6(9/2), respectively. Color co-ordinate values were located in the white region as a result the product may be useful for the fabrication of WLED'S. (C) 2014 Elsevier Ltd. All rights reserved.

Surface Enhanced Raman Scattering on Anodized Alumina Templates for Bio-sensing Applications

SERS substrate was fabricated by depositing silver on anodized aluminum oxide (AAO) template. The thickness of the AA0 template was 200 nm with 40 nm circular pore and 15 nm spacing. SERS effect was observed on these metal coated structures due to electric field enhancement around the edge of the pores. Para-Nitrophenol (pnp) solution of 10(-6) M concentration was detected which refers to an enhancement factor of 10(4).

BLOC-2 targets recycling endosomal tubules to melanosomes for cargo delivery

Hermansky-Pudlak syndrome (HPS) is a group of disorders characterized by the malformation of lysosome-related organelles, such as pigment cell melanosomes. Three of nine characterized HPS subtypes result from mutations in subunits of BLOC-2, a protein complex with no known molecular function. In this paper, we exploit melanocytes from mouse HPS models to place BLOC-2 within a cargo transport pathway from recycling endosomal domains to maturing melanosomes. In BLOC-2-deficient melanocytes, the melanosomal protein TYRP1 was largely depleted from pigment granules and underwent accelerated recycling from endosomes to the plasma membrane and to the Golgi. By live-cell imaging, recycling endosomal tubules of wild-type melanocytes made frequent and prolonged contacts with maturing melanosomes; in contrast, tubules from BLOC-2-deficient cells were shorter in length and made fewer, more transient contacts with melanosomes. These results support a model in which BLOC-2 functions to direct recycling endosomal tubular transport intermediates to maturing melanosomes and thereby promote cargo delivery and optimal pigmentation.

Numerical Analysis of Rainfall Infiltration in the Slope with a Fracture

With the finite volume method, a 2D numerical model for seepage in unsaturated soil has been established to study the rainfall infiltration in the fractured slope.The result shows that more rain may infiltrate into the slope due to existing fracture and then the pore pressure rises correspondingly. Very probably, it is one of the crucial factors accounting for slope failure. Furthermore a preliminary study has been conducted to investigate the influence of various fracture and rainfall factors such as the depth, width and location of a crack, surface condition, rainfall intensity and duration. Pore pressure and water volumetric content during the transient seepage are carefully examined to reveal the intrinsic mechanism.

Real-Time Measurement on Deformation Fields of Hole-Excavated Samples under Impact Tension

In this paper, the real-time deformation fields are observed in two different kinds of hole-excavated dog-bone samples loaded by an SHTB, including single hole sample and dual holes sample with the aperture size of 0.8mm. The testing system consists of a high-speed camera, a He-Ne laser, a frame grabber and a synchronization device with the controlling accuracy of I microsecond. Both the single hole expanding process and the interaction of the two holes are recorded with the time interval of 10 mu s. The observed images on the sample surface are analyzed by newly developed software based on digital correlation theory and a modified image processing method. The 2-D displacement fields in plane are obtained with a resolution of 50 mu m and an accuracy of 0.5 mu m. Experimental results obtained in this paper are proofed, by compared with FEM numerical simulations.

Estudio preliminar del comportamiento productivo y reproductivo de un hato criollo reyna bajo condiciones de confinamiento en Masatepe, Nicaragua

El presente trabajo se realizó con el objetivo de estudiar el comportamiento productivo y reproductivo de un hato criollo lechero Reyna, bajo condiciones de explotación en confinamiento, en la finca San José ubicada en Masatepe, Masaya, Nicaragua. Se analizaron 148 registros productivos y reproductivos correspondientes al período 1982 a 1989. Las características estudiadas fueron producción de leche total por lactancia (PLTOT), producción de leche ajustada a 305 días (PL305), duración de la lactancia (DL), intervalo entre partos (IEP) y edad al primer parto (EPP), además se evaluó el comportamiento de la curva de lactancia y se estimaron los parámetros que la caracterizan (a) parámetro que regula la producción inicial, (b) parámetro que regula el ascenso al pico y (c) parámetro que regula la declinación post pico, a partir de pico (RP), análisis se éstos se calcularon las variables rendimiento al tiempo al pico (TP) y la persistencia (S). En los utilizaron los métodos 1) Mínimos cuadrados (Harvey, 1987), 2) Iterativo de estimación no lineal (Mardquardt, 1968), 3) Modelo y ecuaciones propuestas por Wood, (1967) a través de procedimientos computarizados (Harvey, 1987 y SAS, 1987). Mediante análisis de varianza se estudió el efecto de los factores ambientales año de parto, época, número de partos y las interacciones año de parto por época y época por número de partos sobre PLT, PL305, DL, e IEP. Las medias de mínimos cuadrados obtenidas en este estudio fueron 1,577.65 ± 92.06 Kg, 1,560.64 ± 89.65 Kg, 264.23 ± 9.5 días, 425.96 ± 11.4 días y 1,401.08 ± 120 días para PLTOT, PL305, DL, IEP y EPP respectivamente. Los valores de a, b, c, RP, TP, y S fueron 4.19006 ± 0.5381, 0.221751 ± 0.0402, 0.005152 ± 0.00051, 7,73 Kg, 43.3 días y 6.43 % respectivamente. En el ANDEVA se encontró un efecto altamente significativo (P<0.01) del año de parto sobre las características estudiadas, resultando NS las otras fuentes de variación. Los valores y efectos antes señalados hacen notar que el criollo lechero no responde muy satisfactoriamente a condiciones de confinamiento, aunque es observable su ventaja productiva, respecto al promedio del hato nacional. Al caracterizar la curva de lactancia estimada para el hato y por número de partos ésta presentó valores sobre estimados de producción, respecto a la producción real, sin embargo no presentó atipicidad en su forma.

Fracking : ¿una oportunidad para el-Ser no convencional?

El título de esta nota, además de “jugar” con las palabras sobre una cuestión muy seria del ámbito socio-ambiental, político, económico y tecnológico, pretende reflexionar sobre algunos aspectos cuasi ontológicos de las distintas partes que están involucradas directamente en el desarrollo de los recursos hidrocarburíferos no convencionales.

El tesoro escondido de Aparecida : la espiritualidad popular

Aparecida representa el punto más alto en la consideración del magisterio sobre la piedad popular latinoamericana. El artículo comienza con un somero recorrido histórico desde Medellín, donde se considera la religiosidad popular como algo positivo, hasta Aparecida, donde se enseña que esta forma de vivir la fe de grandes mayorías de pobres latinoamericanos es una verdadera espiritualidad cristiana. Luego se detiene a presentar las novedades del documento de la V Conferencia del Episcopado latinoamericano (Aparecida) y termina explicitando algunas cuestiones abiertas.

Los animales, ¿tienen derechos?

Resumen: Los animales no humanos, ¿pueden tener derechos? Un tribunal argentino, a fines de 2014, determinó que Sandra, una orangutana residente en el zoológico de Buenos Aires, es un sujeto de derecho y un hábeas corpus en su favor debe ser objeto de tratamiento. El artículo examina esa sentencia y los argumentos “antiespecistas”, por parte de Peter Singer, Tom Regan y Eugenio Raúl Zaffaroni. También los argumentos de la ecología profunda acerca de los derechos de la naturaleza, con referencia a la llamada “ecología andina”, de acuerdo con las Constituciones de Ecuador y Bolivia, las primeras en el mundo que han codificado los derechos de la Madre Tierra, la Pachamama.

Aproximaciones filosóficas y metodológicas para una ingeniería sostenible

Recientes aportes surgidos de los estudios sobre ciencia, tecnología y sociedad subrayan la importancia de reflexionar sobre la relación existente entre la ingeniería y el medioambiente durante la etapa inicial de diseño de productos y procesos tecnológicos. Desde estas miradas, el medioambiente no existe como una esfera separada de las acciones humanas, sus ambiciones y necesidades, sino que, siendo el lugar donde se desarrolla la vida, está intrínsecamente relacionado con el desarrollo social y cultural de los pueblos.

Algunos significados originarios y enseñanzas actuales : hermeneútica de la historia de las apariciones de Nuestra Madre de Guadalupe

Deseamos colaborar a una mejor profundización y aprovechamiento de los tesoros del acontecimiento guadalupano, auténtica posibilidad y modelo para nuestro presente. Al especificar, titular y jerarquizar algunos aspectos de una interpretación inicial sobre el mismo, partiendo de lo anterior, y conversando con su contenido desde nuestros intereses de hoy, completamos esta propuesta hermenéutica. Concretamos, en suma, un recorrido que proporciona criterios para apropiarse de la relevante, vigente y siempre actual dinámica de diálogo, que revela la historia de las apariciones de la Virgen Morena. Busca incentivar, de esta manera, a redescubrir y recrear sagazmente dicha dinámica, con todas sus importantes consecuencias, y con la pedagogía que la subyace y hace posible; para movernos a decisiones prudenciales que, al comenzar el tercer milenio, en cada cultura y situación, nos lleven a vivir más lúcidamente nuestra identidad, acontecer y servicio como Pueblo de Dios. Deseamos favorecer la llegada a existenciales conclusiones que nos guíen, en el contexto de un mundo con muchos y cercanos diferentes unos al lado del otro, hacia la construcción de un mundo auténticamente plural, viviendo una evangelización inculturante e inculturada.