Shadow lines in the arithmetic of elliptic curves

Let E/Q be an elliptic curve and p a rational prime of good ordinary reduction. For every imaginary quadratic field K/Q satisfying the Heegner hypothesis for E we have a corresponding line in E(K)\otimes Q_p, known as a shadow line. When E/Q has analytic rank 2 and E/K has analytic rank 3, shadow lines are expected to lie in E(Q)\otimes Qp. If, in addition, p splits in K/Q, then shadow lines can be determined using the anticyclotomic p-adic height pairing. We develop an algorithm to compute anticyclotomic p-adic heights which we then use to provide an algorithm to compute shadow lines. We conclude by illustrating these algorithms in a collection of examples.

Comparison of aerosol optical properties above clouds between POLDER and AeroCom models over the South East Atlantic Ocean during the fire season

Aerosol properties above clouds have been retrieved over the South East Atlantic Ocean during the fire season 2006 using satellite observations from POLDER (Polarization and Directionality of Earth Reflectances). From June to October, POLDER has observed a mean Above-Cloud Aerosol Optical Thickness (ACAOT) of 0.28 and a mean Above-Clouds Single Scattering Albedo (ACSSA) of 0.87 at 550 nm. These results have been used to evaluate the simulation of aerosols above clouds in 5 AeroCom (Aerosol Comparisons between Observations and Models) models (GOCART, HadGEM3, ECHAM5-HAM2, OsloCTM2 and SPRINTARS). Most models do not reproduce the observed large aerosol load episodes. The comparison highlights the importance of the injection height and the vertical transport parameterizations to simulate the large ACAOT observed by POLDER. Furthermore, POLDER ACSSA is best reproduced by models with a high imaginary part of black carbon refractive index, in accordance with recent recommendations.

Order and disorder in fiction labyrinths: the librarians` representations in some contemporary cultural productions

This paper, first result of a larger research, proposes a query about some aspects of social representation of libraries and librarians, as they appear in literary and cinematographic productions. Little by little, this query, which arose from purposes of organizing catalogues, revealed elements that established different series, in which the narrative genre (literary or cinematographic) has no relevance to either libraries or librarians` representations. The presence of these elements seems to show some expectations and utopias in relation to the common knowledge, independently from narratives being located in the past, in the present or in the future, stimulating reflection on some medieval and baroque traditions about the library universe and its main characters, the librarians. The cinematographic material selected for research was The time machine, Farenheit 451, The day after tomorrow, Star Wars - episode II and the novels Martin Eden, The man without qualities, The time machine and La sombra del viento.

Dielectric Dispersion of Water in the Frequency Range from 10 mHz to 30 MHz

We investigate the dielectric dispersion of water, specially in the low-frequency range, by using the impedance spectroscopy technique. The frequency dependencies of the real R and imaginary Z parts of the impedance Could not be explained by means of the Usual description of the dielectric properties of the water as all insulating liquid containing ions. This is due to the incomplete knowledge of the parameters entering in the fundamental equations describing the evolution of the system, and oil the mechanisms regulating the exchange of charge of the cell with the external circuit. We propose a simple description of our experimental data based on the model of Debye, by invoking a dc conductivity of the cell, related to the nonblocking character of the electrodes. A discussion on the electric Circuits able to simulate the cell under investigation, based oil bulk and Surface elements, is also reported. We find that the simple circuit formed by a series of two parallels of resistance and capacitance is able to reproduce the experimental data concerning the real and imaginary part of the electrical impedance of the cell for frequency larger than 1 Hz. According to this description, one of the parallels takes into account the electrical properties of interface between the electrode and water, and the other of the bulk. For frequency lower than 1 Hz, a good agreement with the experimental data is obtained by simulating the electrical properties of the interface by means of the constant phase element.

GLUON SATURATION AND THE FROISSART BOUND: A SIMPLE APPROACH

At very high energies we expect that the hadronic cross sections satisfy the Froissart bound, which is a well-established property of the strong interactions. In this energy regime we also expect the formation of the Color Glass Condensate, characterized by gluon saturation and a typical momentum scale: the saturation scale Q(s). In this paper we show that if a saturation window exists between the nonperturbative and perturbative regimes of Quantum Chromodynamics (QCD), the total cross sections satisfy the Froissart bound. Furthermore, we show that our approach allows us to described the high energy experimental data on pp/p (p) over bar total cross sections.

The stochastic nature of predator-prey cycles

We study by numerical simulations the time correlation function of a stochastic lattice model describing the dynamics of coexistence of two interacting biological species that present time cycles in the number of species individuals. Its asymptotic behavior is shown to decrease in time as a sinusoidal exponential function from which we extract the dominant eigenvalue of the evolution operator related to the stochastic dynamics showing that it is complex with the imaginary part being the frequency of the population cycles. The transition from the oscillatory to the nonoscillatory behavior occurs when the asymptotic behavior of the time correlation function becomes a pure exponential, that is, when the real part of the complex eigenvalue equals a real eigenvalue. We also show that the amplitude of the undamped oscillations increases with the square root of the area of the habitat as ordinary random fluctuations. (C) 2009 Elsevier B.V. All rights reserved.

DFT study of the electronic, vibrational, and optical properties of SnO(2)

We report results on the electronic, vibrational, and optical properties of SnO(2) obtained using first-principles calculations performed within the density functional theory. All the calculated phonon frequencies, real and imaginary parts of complex dielectric function, the energy-loss spectrum, the refractive index, the extinction, and the absorption coefficients show good agreement with experimental results. Based on our calculations, the SnO(2) electron and hole effective masses were found to be strongly anisotropic. The lattice contribution to the low-frequency region of the SnO(2) dielectric function arising from optical phonons was also determined resulting the values of E > (1aSyen) (latt) (0) = 14.6 and E > (1ayen) (latt) (0) = 10.7 for directions perpendicular and parallel to the tetragonal c-axis, respectively. This is in excellent agreement with the available experimental data. After adding the electronic contribution to the lattice contribution, a total average value of E >(1)(0) = 18.2 is predicted for the static permittivity constant of SnO(2).

Probing the (6,7)Li nucleon densities through a new break-up process approach

In this work we present a double folding optical model analysis of new near-barrier quasi-elastic experimental data for the (6,7)Li + (120)Sn systems. From the analysis, it was possible to confirm the ground-state nucleon densities assumed for the weakly bound (6,7)Li isotopes. The apparent discrepancies between the experimental densities and those based on Dirac-Hartree-Fock Bogoliubov (DHB) calculations were removed. A new approach that simulates the projectile break-up and a positive polarization from couplings of (6,7)Li bound states with the continuum was considered in the reaction mechanism. (C) 2010 Elsevier B.V. All rights reserved.

The electronic and optical properties of sodalite (Na(8)Al(6)Si(6)O(24)Cl(2)) from first principles

This study reports the results of ab initio electronic and optical calculations for pure socialite crystal using the linear augmented plane wave (LAPW) method within density functional theory (DFT). The calculated electronic structure revealed predominantly orbital characters of the valence band and the conduction band, and enabled us to determine the type and the value of the fundamental gap of the compound. The imaginary part of the dielectric tensor, extinction coefficient and refraction index were calculated as functions of the incident radiation wavelength. It is shown that the O 2p states and Na 3s states play the major role in optical transitions as initial and final states, respectively. The absorption spectrum is localized in the ultraviolet range between 40 and 250 nm. Furthermore, we concluded that the material does not absorb radiation in the visible range. (C) 2009 Elsevier Ltd. All rights reserved.

Timelike Christoffel pairs in the split-quaternions

We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in R(2)(3) to be real or complex isothermic in terms of the existence of integrating factors.

Free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus (Omega(R)/dR)

In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus Omega(R)/dR where R = C[t. t(-1), u vertical bar u(2) = t(3) - 2bt(2) + t]. The first realization provides an analogue of Wakimoto`s construction for Affine Kac-Moody algebras, but in the setting of the elliptic affine Lie algebra. The second realization gives new types of representations analogous to Imaginary Verma modules in the Affine setting. (c) 2009 Elsevier B.V. All rights reserved.

A Higher Life : A Postcolonialist Analysis of Coetzee's Disgrace

J M Coetzee’s Disgrace deals with race and power in contemporary, post-colonial South Africa. This prize-winning novel is written after the country's first all-race elections, in 1994. It has therefore most often been analyzed as a representative for the writing of the new South Africa, where the social problems relating binary oppositions such as black – white, native – immigrant, powerless – powerful, are stressed. More specifically the shift of power within the above mentioned pairs is in focus. This is also the case for this essay, but instead of analyzing the realistic elements in the book it will examine the imaginary complexity of the opera Byron in Italy, which is created by the protagonist, David Lurie. This essay aims to widen the concept of “native” regarding post-colonial theory by looking at the peculiarity of Lurie’s situation; him being a representative of the white population in South Africa. By using post-colonial theory this essay aims at showing that Lurie can be seen as a white native, and that his process of writing the opera can be seen as symbolizing the evolutionary phases a colonized nation goes through in order to develop a national culture, as described by Franz Fanon.

Motion cue analysis for parkinsonian gait recognition

This paper presents a computer-vision based marker-free method for gait-impairment detection in Patients with Parkinson's disease (PWP). The system is based upon the idea that a normal human body attains equilibrium during the gait by aligning the body posture with Axis-of-Gravity (AOG) using feet as the base of support. In contrast, PWP appear to be falling forward as they are less-able to align their body with AOG due to rigid muscular tone. A normal gait exhibits periodic stride-cycles with stride-angle around 45o between the legs, whereas PWP walk with shortened stride-angle with high variability between the stride-cycles. In order to analyze Parkinsonian-gait (PG), subjects were videotaped with several gait-cycles. The subject's body was segmented using a color-segmentation method to form a silhouette. The silhouette was skeletonized for motion cues extraction. The motion cues analyzed were stride-cycles (based on the cyclic leg motion of skeleton) and posture lean (based on the angle between leaned torso of skeleton and AOG). Cosine similarity between an imaginary perfect gait pattern and the subject gait patterns produced 100% recognition rate of PG for 4 normal-controls and 3 PWP. Results suggested that the method is a promising tool to be used for PG assessment in home-environment.

Harold Pinter, cinema e literatura : os limites da realidade

Partindo de duas questões teóricas preliminares, uma, da representação (literária e cinematográfica)do real e do imaginário, tanto no ângulo da produção como no da sua recepção e, a outra, da articulação entre formas de expressão artísticas distintas, ou seja, da interdisciplinaridade, este trabalho examina a presença do tema relativo aos limites entre realidade e fantasia no teatro, no cinema e na literatura, centrando sua atenção na obra de Harold Pinter. Consta de duas partes, cada uma com três capítulos. Na primeira, "Os pressupostos," discute-se as questões que fornecem seu substrato teórico. A segunda é dedicada ao corpus, identificando em seu título o tema investigado: "Os limites da realidade." Quanto à questão da representação, procura-se refutar "a afirmação de que a arte seja uma imitação da realidade. Uma releitura da Poética, de Aristóteles, reforçada pela opinião de diversos estudiosos da mesma, permite afirmar que a mÍmese corresponde, isto sim, a uma representação que envolve uma construção em que elementos da realidade são organizados segundo uma verdade criada pela própria obra, de acordo com critérios inerentes a ela. Além disso, através de uma leitura de Kathryn Hume, procura-se afirmar a interação sinestésica quase que permanente dos impulsos realista e da fantasiana literatura, identificando os tipos com que a fantasia se manifesta e as técnicas usadas para sua criação. A primeira parte encerra-se com um exame do relacionamento da literatura com as artes visuais e dramáticas, relações inter-disciplinares que situam este trabalho na literatura comparada.Dentre vários autores cujas obras contribuem para tal fim, destaca-se Martin Esslin, que estabelece os limitesde cada uma das artes dramáticas, identifica contatos delas com a literatura e permite, através de uma leitura de seu estudo sobre o teatro do absurdo, seja estabelecida a evolução que liga Aristóteles a Pinter. O corpus centra-se na obra de Pinterpara o teatro e para o cinema, sem limitar-se a ela,pois são também analisadas obras de outros escritores e cineastas, estabelendo-se aproximações ou contrastes entre elas. No quarto capítulo estão agrupadas obras nas quais desponta a imposição de verdades pela força fisica ou verbal. A luta pelo poder, a expulsão de elementos estranhos, dúvidas sobre a identidade e a inter-penetrablidade arte-vida caracterizam o capítulo seguinte. A ênfase temática do sexto capítulo recai sobre as limitações impostas pela condição humana. Praticamente todas as obras expressam a impossibilidade da existência de certezas absolutas e de uma perfeita distinção dos limites da realidade. Com isso, é possível afirmar não ser o objetivo da arte reproduzir a realidade. Mesmo que o fosse, tal tentativa resultaria infrutífera devido às limitações humanas.

A Questão do Imaginário e a Fronteira entre a Psicanálise e a Cultura Organizacional

Este projeto de pesquisa analisa a cultura organizacional como um instrumento de poder político institucional, através do qual é repassado aos indivíduos um imaginário específico desenvolvido pela organização. Para compreensão desse imaginário discutimos alguns mecanismos psicológicos inconscientes, tais como: transferência, identificação, projeção e idealização. A utilização de conceitos psicanalíticos no estudo dos fenômenos organizacionais tem sido feita pela Psicossociologia ou Sociologia Clínica.