On universal central extensions of Hom-Leibniz algebras

In the category of Hom-Leibniz algebras we introduce the notion of Hom-corepresentation as adequate coefficients to construct the chain complex from which we compute the Leibniz homology of Hom-Leibniz algebras. We study universal central extensions of Hom-Leibniz algebras and generalize some classical results, nevertheless it is necessary to introduce new notions of α-central extension, universal α-central extension and α-perfect Hom-Leibniz algebra due to the fact that the composition of two central extensions of Hom-Leibniz algebras is not central. We also provide the recognition criteria for these kind of universal central extensions. We prove that an α-perfect Hom-Lie algebra admits a universal α-central extension in the categories of Hom-Lie and Hom-Leibniz algebras and we obtain the relationships between both of them. In case α = Id we recover the corresponding results on universal central extensions of Leibniz algebras.

Entre la ejecución y la representación: intersecciones de lo real en la construcción escénica. Between the execution and the representation: intersections of the real thing in the scenic construction.

Esta propuesta de investigación se enmarca en los encuentros y discusiones que se están realizando en la Escuela de Artes de la Facultad de Filosofía y Humanidades (CEPIA, CIFFyH y SeCyT, de la U.N.C), en relación a las problemáticas de la investigación en Artes. Los encuentros llevados a cabo en diversas ocasiones y a lo largo de 2009, demuestran la necesidad de establecer un campo particular de la investigación y su relación con la práctica artística. Este proyecto nace de estas inquietudes y establece ciertos ejes de trabajo que permiten poner en práctica ciertos esbozos imaginados. En este sentido, nuestra propuesta se centra en definir la misma construcción escénica como objeto de estudio, delimitando sobre éste la problemática de lo real en el trabajo de la ficción, proponiendo además un equipo que permita investigar en su propio desarrollo creativo las diversas variables que entran en juego. De este modo, se trabajará en una propuesta de laboratorio escénico donde los planteos de orden teórico atraviesen la práctica y, a su vez, la observación de ésta permita una reelaboración y profundización del pensamiento contemporáneo sobre la problemática ejecución/representación, desde los diversos órdenes en que ésta interviene. La idea de representación teatral que planteaba Aristóteles señala que las acciones devienen necesariamente en la definición del carácter de los personajes. Este concepto es clave en el desarrollo del teatro occidental y por ende en las diferentes concepciones de actor. La definición de acción dada por Aristóteles es problemática para parte del teatro contemporáneo ya que supone que toda acción es mimética. También da por supuesto que en el teatro se conforman personajes, y que la unidad narrativa está dada por una programática, que es definida por la acción.La presente investigación se propone indagar en la relación entre la ejecución de la acción y su representación en el desarrollo de un laboratorio teatral. Esto implica que necesariamente es aplicada al trabajo escénico. Nuestra hipótesis de partida es que la relación conflictiva entre acción, ejecución de la misma y representación, se produce a partir de la operación material sobre lo real . Estas intersecciones podrían ser pensadas como una teoría del montaje donde la corporalidad es el principio necesario e irreductible de la construcción. La intersección de lo real es una problemática que permite ahondar sobre los procedimientos por los cuales se construye la escena. La idea de un teatro material, obliga a pensar con qué procedimientos se construye ficción. Un teatro que intenta recalar en lo “real” como modo de señalar la cosa misma, se propone, desde la perspectiva de la realización, indagar en los mecanismos de su construcción (procedimientos), por lo cual supone que la actividad teatral puede dar cuenta de los procesos por los cuales se realiza. La realización de una acción, puede remitir a sí misma y genera una relación “extraña” y ambigua con el mundo de referencia. La acción en sí misma, pone en cuestión la idea de modelo y da cuenta de una crisis en la representación. La teoría ha intentado dividir y sistematizar de manera binaria la manifestación teatral: Teatro de Representación/ Teatro Performático, para distinguir un teatro vinculado a la creación de personajes o para relacionarlo a un teatro de ejecución. Sin embargo, pensamos que es posible encontrar en la producción escénica, intersecciones de lo real que median el mundo de la representación y el de la performance para la construcción de ficción. Nuestra hipótesis de base es que si intervenimos el plano de la ejecución en el actor, la representación varía sustancialmente sus mecanismos de producción de sentido. Este primer planteo no es conflictivo hasta que se pone de manifiesto lo real. This research’s proposal is framed into the meetings and discussions that have been taking place in the School of Arts of the Faculty of Philosophy and Humanities (CEPIA, CIFFyH y SeCyT, of the National University of Cordoba), concerning the difficulties of research in Arts. The meetings carried out along 2009, demonstrate the need to establish a particular field of research and its relation to the practice of arts. This project is born from these concerns and it establishes central axis for the work, that enables us to put on practice some sketches imagined. In this regard, our proposal focuses on defining the construction of the scene as object of study, in itself, delimiting the issue of “the real” in the work of fiction. Proposing, furthermore, a team for researching the many variables that comes into play, in their own creative development. Consequently, the work will be developed in the method of a scenic laboratory, where the theoretical proposals cross over the practice and, in turn, these observations allow a reworking and deepen of contemporary thinking about the problematic of performance / representation, from the diverse orders in which it intervene. The idea of theatrical performance proposed by Aristotle, indicate that actions necessarily turn into the definition of the nature of the characters. This concept is key to the development of Western theaterand consequently on the different conceptions of actor. The definition of action given by Aristotle is problematic for a part of the contemporary theater, because it assumes that every action is mimetic. Also presumes that in the theatre the characters are formed, and narrative unit is given by a programmatic, which is defined by the action. This research proposes to explore the relationship between implementation of the action and its representation in the development of a theatrical laboratory. This implies that it is applied necessarily to the scenic practice. Our preliminary hypothesis is that the co.

Crisis of political representation and democratization in Mexico: the generality and specificity of the case

This article attempts to assess the implications and the own character of the crisis of representation in Mexico. Once the topic framed and the long-term dynamics of Mexican political elites presented, this paper will attempt to understand why, despite the pluralization of the party system, there remain many questions about the truly democratic nature of the Mexican political system.

The error of representation: basic understanding

Representation error arises from the inability of the forecast model to accurately simulate the climatology of the truth. We present a rigorous framework for understanding this kind of error of representation. This framework shows that the lack of an inverse in the relationship between the true climatology (true attractor) and the forecast climatology (forecast attractor) leads to the error of representation. A new gain matrix for the data assimilation problem is derived that illustrates the proper approaches one may take to perform Bayesian data assimilation when the observations are of states on one attractor but the forecast model resides on another. This new data assimilation algorithm is the optimal scheme for the situation where the distributions on the true attractor and the forecast attractors are separately Gaussian and there exists a linear map between them. The results of this theory are illustrated in a simple Gaussian multivariate model.

Forecasting Multivariate Time Series under Present-Value-Model Short- and Long-run Co-movement Restrictions

This paper has two original contributions. First, we show that the present value model (PVM hereafter), which has a wide application in macroeconomics and fi nance, entails common cyclical feature restrictions in the dynamics of the vector error-correction representation (Vahid and Engle, 1993); something that has been already investigated in that VECM context by Johansen and Swensen (1999, 2011) but has not been discussed before with this new emphasis. We also provide the present value reduced rank constraints to be tested within the log-linear model. Our second contribution relates to forecasting time series that are subject to those long and short-run reduced rank restrictions. The reason why appropriate common cyclical feature restrictions might improve forecasting is because it finds natural exclusion restrictions preventing the estimation of useless parameters, which would otherwise contribute to the increase of forecast variance with no expected reduction in bias. We applied the techniques discussed in this paper to data known to be subject to present value restrictions, i.e. the online series maintained and up-dated by Shiller. We focus on three different data sets. The fi rst includes the levels of interest rates with long and short maturities, the second includes the level of real price and dividend for the S&P composite index, and the third includes the logarithmic transformation of prices and dividends. Our exhaustive investigation of several different multivariate models reveals that better forecasts can be achieved when restrictions are applied to them. Moreover, imposing short-run restrictions produce forecast winners 70% of the time for target variables of PVMs and 63.33% of the time when all variables in the system are considered.

Stress Analysis in Simulation Models With or Without Implant Threads Representation

Purpose: This study aimed to evaluate the influence of implants with or without threads representation on the outcome of a two-dimensional finite element (FE) analysis. Materials and Methods: Two-dimensional FE models that reproduced a frontal section of edentulous mandibular posterior bone were constructed using a standard crown/implant/screw system representation. To evaluate the effect of implant threads, two models were created: a model in which the implant threads were accurately simulated (precise model) and a model in which implants with a smooth surface (press-fit implant) were used (simplified model). An evaluation was performed on ANSYS software, in which a load of 133 N was applied at a 30-degree angulation and 2 mm off-axis from the long axis of the implant on the models, The Von Mises stresses were measured. Results: The precise model (1.45 MPa) showed higher maximum stress values than the simplified model (1.2 MPa). Whereas in the cortical bone, the stress values differed by about 36% (292.95 MPa for the precise model and 401.14 MPa for the simplified model), in trabecular bone (19.35 MPa and 20.35 MPa, respectively), the stress distribution and stress values were similar. Stress concentrations occurred around the implant neck and the implant apex. Conclusions: Considering implant and cortical bone analysis, remarkable differences in stress values were found between the models. Although the models showed different absolute stress values, the stress distribution was similar. INT J ORAL MAXILLOFAC IMPLANTS 2009;24:1040-1044

Neural representation and clinically relevant moderators of individualised self-criticism in healthy subjects

Many people routinely criticise themselves. While self-criticism is largely unproblematic for most individuals, depressed patients exhibit excessive self-critical thinking, which leads to strong negative affects. We used functional magnetic resonance imaging in healthy subjects (N = 20) to investigate neural correlates and possible psychological moderators of self-critical processing. Stimuli consisted of individually selected adjectives of personally negative content and were contrasted with neutral and negative non-self-referential adjectives. We found that confrontation with self-critical material yielded neural activity in regions involved in emotions (anterior insula/hippocampus-amygdala formation) and in anterior and posterior cortical midline structures, which are associated with self-referential and autobiographical memory processing. Furthermore, contrasts revealed an extended network of bilateral frontal brain areas. We suggest that the co-activation of superior and inferior lateral frontal brain regions reflects the recruitment of a frontal top-down pathway, representing cognitive reappraisal strategies for dealing with evoked negative affects. In addition, activation of right superior frontal areas was positively associated with neuroticism and negatively associated with cognitive reappraisal. Although these findings may not be specific to negative stimuli, they support a role for clinically relevant personality traits in successful regulation of emotion during confrontation with self-critical material.

Co-simulation Methodologies for Hybrid and Electric Vehicle Dynamics

In recent decades, full electric and hybrid electric vehicles have emerged as an alternative to conventional cars due to a range of factors, including environmental and economic aspects. These vehicles are the result of considerable efforts to seek ways of reducing the use of fossil fuel for vehicle propulsion. Sophisticated technologies such as hybrid and electric powertrains require careful study and optimization. Mathematical models play a key role at this point. Currently, many advanced mathematical analysis tools, as well as computer applications have been built for vehicle simulation purposes. Given the great interest of hybrid and electric powertrains, along with the increasing importance of reliable computer-based models, the author decided to integrate both aspects in the research purpose of this work. Furthermore, this is one of the first final degree projects held at the ETSII (Higher Technical School of Industrial Engineers) that covers the study of hybrid and electric propulsion systems. The present project is based on MBS3D 2.0, a specialized software for the dynamic simulation of multibody systems developed at the UPM Institute of Automobile Research (INSIA). Automobiles are a clear example of complex multibody systems, which are present in nearly every field of engineering. The work presented here benefits from the availability of MBS3D software. This program has proven to be a very efficient tool, with a highly developed underlying mathematical formulation. On this basis, the focus of this project is the extension of MBS3D features in order to be able to perform dynamic simulations of hybrid and electric vehicle models. This requires the joint simulation of the mechanical model of the vehicle, together with the model of the hybrid or electric powertrain. These sub-models belong to completely different physical domains. In fact the powertrain consists of energy storage systems, electrical machines and power electronics, connected to purely mechanical components (wheels, suspension, transmission, clutch…). The challenge today is to create a global vehicle model that is valid for computer simulation. Therefore, the main goal of this project is to apply co-simulation methodologies to a comprehensive model of an electric vehicle, where sub-models from different areas of engineering are coupled. The created electric vehicle (EV) model consists of a separately excited DC electric motor, a Li-ion battery pack, a DC/DC chopper converter and a multibody vehicle model. Co-simulation techniques allow car designers to simulate complex vehicle architectures and behaviors, which are usually difficult to implement in a real environment due to safety and/or economic reasons. In addition, multi-domain computational models help to detect the effects of different driving patterns and parameters and improve the models in a fast and effective way. Automotive designers can greatly benefit from a multidisciplinary approach of new hybrid and electric vehicles. In this case, the global electric vehicle model includes an electrical subsystem and a mechanical subsystem. The electrical subsystem consists of three basic components: electric motor, battery pack and power converter. A modular representation is used for building the dynamic model of the vehicle drivetrain. This means that every component of the drivetrain (submodule) is modeled separately and has its own general dynamic model, with clearly defined inputs and outputs. Then, all the particular submodules are assembled according to the drivetrain configuration and, in this way, the power flow across the components is completely determined. Dynamic models of electrical components are often based on equivalent circuits, where Kirchhoff’s voltage and current laws are applied to draw the algebraic and differential equations. Here, Randles circuit is used for dynamic modeling of the battery and the electric motor is modeled through the analysis of the equivalent circuit of a separately excited DC motor, where the power converter is included. The mechanical subsystem is defined by MBS3D equations. These equations consider the position, velocity and acceleration of all the bodies comprising the vehicle multibody system. MBS3D 2.0 is entirely written in MATLAB and the structure of the program has been thoroughly studied and understood by the author. MBS3D software is adapted according to the requirements of the applied co-simulation method. Some of the core functions are modified, such as integrator and graphics, and several auxiliary functions are added in order to compute the mathematical model of the electrical components. By coupling and co-simulating both subsystems, it is possible to evaluate the dynamic interaction among all the components of the drivetrain. ‘Tight-coupling’ method is used to cosimulate the sub-models. This approach integrates all subsystems simultaneously and the results of the integration are exchanged by function-call. This means that the integration is done jointly for the mechanical and the electrical subsystem, under a single integrator and then, the speed of integration is determined by the slower subsystem. Simulations are then used to show the performance of the developed EV model. However, this project focuses more on the validation of the computational and mathematical tool for electric and hybrid vehicle simulation. For this purpose, a detailed study and comparison of different integrators within the MATLAB environment is done. Consequently, the main efforts are directed towards the implementation of co-simulation techniques in MBS3D software. In this regard, it is not intended to create an extremely precise EV model in terms of real vehicle performance, although an acceptable level of accuracy is achieved. The gap between the EV model and the real system is filled, in a way, by introducing the gas and brake pedals input, which reflects the actual driver behavior. This input is included directly in the differential equations of the model, and determines the amount of current provided to the electric motor. For a separately excited DC motor, the rotor current is proportional to the traction torque delivered to the car wheels. Therefore, as it occurs in the case of real vehicle models, the propulsion torque in the mathematical model is controlled through acceleration and brake pedal commands. The designed transmission system also includes a reduction gear that adapts the torque coming for the motor drive and transfers it. The main contribution of this project is, therefore, the implementation of a new calculation path for the wheel torques, based on performance characteristics and outputs of the electric powertrain model. Originally, the wheel traction and braking torques were input to MBS3D through a vector directly computed by the user in a MATLAB script. Now, they are calculated as a function of the motor current which, in turn, depends on the current provided by the battery pack across the DC/DC chopper converter. The motor and battery currents and voltages are the solutions of the electrical ODE (Ordinary Differential Equation) system coupled to the multibody system. Simultaneously, the outputs of MBS3D model are the position, velocity and acceleration of the vehicle at all times. The motor shaft speed is computed from the output vehicle speed considering the wheel radius, the gear reduction ratio and the transmission efficiency. This motor shaft speed, somehow available from MBS3D model, is then introduced in the differential equations corresponding to the electrical subsystem. In this way, MBS3D and the electrical powertrain model are interconnected and both subsystems exchange values resulting as expected with tight-coupling approach.When programming mathematical models of complex systems, code optimization is a key step in the process. A way to improve the overall performance of the integration, making use of C/C++ as an alternative programming language, is described and implemented. Although this entails a higher computational burden, it leads to important advantages regarding cosimulation speed and stability. In order to do this, it is necessary to integrate MATLAB with another integrated development environment (IDE), where C/C++ code can be generated and executed. In this project, C/C++ files are programmed in Microsoft Visual Studio and the interface between both IDEs is created by building C/C++ MEX file functions. These programs contain functions or subroutines that can be dynamically linked and executed from MATLAB. This process achieves reductions in simulation time up to two orders of magnitude. The tests performed with different integrators, also reveal the stiff character of the differential equations corresponding to the electrical subsystem, and allow the improvement of the cosimulation process. When varying the parameters of the integration and/or the initial conditions of the problem, the solutions of the system of equations show better dynamic response and stability, depending on the integrator used. Several integrators, with variable and non-variable step-size, and for stiff and non-stiff problems are applied to the coupled ODE system. Then, the results are analyzed, compared and discussed. From all the above, the project can be divided into four main parts: 1. Creation of the equation-based electric vehicle model; 2. Programming, simulation and adjustment of the electric vehicle model; 3. Application of co-simulation methodologies to MBS3D and the electric powertrain subsystem; and 4. Code optimization and study of different integrators. Additionally, in order to deeply understand the context of the project, the first chapters include an introduction to basic vehicle dynamics, current classification of hybrid and electric vehicles and an explanation of the involved technologies such as brake energy regeneration, electric and non-electric propulsion systems for EVs and HEVs (hybrid electric vehicles) and their control strategies. Later, the problem of dynamic modeling of hybrid and electric vehicles is discussed. The integrated development environment and the simulation tool are also briefly described. The core chapters include an explanation of the major co-simulation methodologies and how they have been programmed and applied to the electric powertrain model together with the multibody system dynamic model. Finally, the last chapters summarize the main results and conclusions of the project and propose further research topics. In conclusion, co-simulation methodologies are applicable within the integrated development environments MATLAB and Visual Studio, and the simulation tool MBS3D 2.0, where equation-based models of multidisciplinary subsystems, consisting of mechanical and electrical components, are coupled and integrated in a very efficient way.

Principles of knowledge representation and reasoning : proceedings of the Seventh International Conference (KR2000), Breckenridge, Colorado, April 12-15 2000 /

Includes bibliographical references and index.

A complete history, political and personal, of the boroughs of Great Britain; together with the Cinque Ports. To which is now first added The history of the original constitution of parliaments, from the time of the ancient Britons to the present day. With a state of the representation, and an account of contested elections, &c. &c.

Vol. 3 has half-title: History of the original constitution of parliaments.

Worker Voice : Employee Representation in the Workplace in Australia, Canada, Germany, the UK and the US, 1914-1939 /

This book informs debates about worker participation in the workplace or worker voice by analysing comparative historical data relating to these ideas during the inter-war period in Australia, Canada, Germany, the UK and the US. The issue is topical because of the contemporary shift to a workplace focus in many countries without a corresponding development of infrastructure at the workplace level, and because of the growing ‘representation gap’ as union membership declines. Some commentators have called for the introduction of works councils to address these issues. Other scholars have gone back and examined the experiences with the non-union Employee Representation Plans (ERPs) in Canada and the US. This book will test these claims through examining and comparing the historical record of previous efforts of five countries during a rich period of experimentation between the Wars. In addition to ERPs, the book expands the debate will by examining union-management co-operation, Whitley works committees and German works councils.

GLM-beamformer method demonstrates stationary field, alpha ERD and gamma ERS co-localisation with fMRI BOLD response in visual cortex

Recently, we introduced a new 'GLM-beamformer' technique for MEG analysis that enables accurate localisation of both phase-locked and non-phase-locked neuromagnetic effects, and their representation as statistical parametric maps (SPMs). This provides a useful framework for comparison of the full range of MEG responses with fMRI BOLD results. This paper reports a 'proof of principle' study using a simple visual paradigm (static checkerboard). The five subjects each underwent both MEG and fMRI paradigms. We demonstrate, for the first time, the presence of a sustained (DC) field in the visual cortex, and its co-localisation with the visual BOLD response. The GLM-beamformer analysis method is also used to investigate the main non-phase-locked oscillatory effects: an event-related desynchronisation (ERD) in the alpha band (8-13 Hz) and an event-related synchronisation (ERS) in the gamma band (55-70 Hz). We show, using SPMs and virtual electrode traces, the spatio-temporal covariance of these effects with the visual BOLD response. Comparisons between MEG and fMRI data sets generally focus on the relationship between the BOLD response and the transient evoked response. Here, we show that the stationary field and changes in oscillatory power are also important contributors to the BOLD response, and should be included in future studies on the relationship between neuronal activation and the haemodynamic response. © 2005 Elsevier Inc. All rights reserved.

“My people seem to be falling to bits”: impotence, memory, and the co-possibility of body and mind in Samuel Beckett’s works

The present thesis examines the representation of the impotent body and mind in a selection of Samuel Beckett’s dramatic and prose works. Aiming to show that the body-mind relation is represented as one of co-implication and co-constitution, this thesis also takes the representation of memory in Beckett’s work as a key site for examining this relation. The thesis seeks to address the centrality of the body and embodied subjectivity in the experience of memory and indeed in signification and experience more generally. In these terms, Chapter 1 analyzes the representation of the figure of the couple in Beckett’s drama of the 1950s – as a metaphor of the body-mind relation – and, in light of Jacques Derrida’s theory of the supplement and Bernard Stiegler’s theory of technics, it discusses how the relationship between physical body and mind is defined by an essential supplementarity that is revealed even (or especially) in their apparent separation. Furthermore, the impotence that marks both elements in Beckett’s writings, when it is seen to lay bare this intrication, can be viewed, in important respects, as enabling rather than merely privative. Chapter 2 discusses the somatic structure of memory as represented in four of Beckett’s later dramatic works composed in the 1970s and 1980s. Similarly to Chapter 1, the second chapter focuses on the more “extreme” representation of bodily impotence in Beckett and demonstrates that rather than a merely “mental” recollection, memory in the work of Beckett is presented as necessarily experienced through, and shaped by, the body itself. In this light, then, it is shown that despite the impotence that marks the body in Beckett’s work of the 1970s and 1980s, the body is a necessary site of memory and retains or discovers a kind of activity in this impotence. Finally, Chapter 3 shifts its attention to Beckett’s prose works in order to explore how such works, reliant on language rather than the physical performance of actors onstage, sustain questions of embodied subjectivity at their heart. Specifically, the chapter argues that, on closer inspection, Beckett’s “literature of the unword” is not an abstention from meaning and its materialization, but one that paradoxically foregrounds that “something” which remains an essential part of it, that is, an embodied subjectivity.

Photoionization of Co+ and electron-impact excitation of Co2 + using the Dirac R-matrix method

Modelling of massive stars and supernovae (SNe) plays a crucial role in understanding galaxies. From this modelling we can derive fundamental constraints on stellar evolution, mass-loss processes, mixing, and the products of nucleosynthesis. Proper account must be taken of all important processes that populate and depopulate the levels (collisional excitation, de-excitation, ionization, recombination, photoionization, bound–bound processes). For the analysis of Type Ia SNe and core collapse SNe (Types Ib, Ic and II) Fe group elements are particularly important. Unfortunately little data is currently available and most noticeably absent are the photoionization cross-sections for the Fe-peaks which have high abundances in SNe. Important interactions for both photoionization and electron-impact excitation are calculated using the relativistic Dirac atomic R-matrix codes (DARC) for low-ionization stages of Cobalt. All results are calculated up to photon energies of 45 eV and electron energies up to 20 eV. The wavefunction representation of Co III has been generated using GRASP0 by including the dominant 3d⁷, 3d⁶[4s, 4p], 3p⁴3d⁹ and 3p⁶3d⁹ configurations, resulting in 292 fine structure levels. Electron-impact collision strengths and Maxwellian averaged effective collision strengths across a wide range of astrophysically relevant temperatures are computed for Co III. In addition, statistically weighted level-resolved ground and metastable photoionization cross-sections are presented for Co II and compared directly with existing work.

Innovative ways of knowledge representation and management

Knowledge is the key for success. The adequate treatment you make on data for generating knowledge can make a difference in projects, processes, and networks. Such a treatment is the main goal of two important areas: knowledger representation and management. Our aim, in this book, is collecting sorne innovative ways of representing and managing knowledge proposed by several Latin American researchers under the premise of improving knowledge.