How unlucky is 25-sigma?

Purpose - To identify the likelihood of a 25-standard deviation occurring in stock prices over several successive days, in the light of comments by David Viniar, chief financial officer of Goldman Sachs.. Design/methodology/approach - Assumes a bell-curve of market losses and graphs the probability of an event relative to the number of deviations. Calculates using MATLAB for sigmas over 7. Considers whether the losses of US investment banks in 2008 were the result of bad luck or of incompetence. Findings - Finds that the probability of a 25-sigma event is every 100,000 +130 decimal points years. Practical implications - Argues that bad luck is usually associated with incompetence, and investors need not choose between them. Originality/value - Presents the mathematical absurdity of a finance officer's statement, and its implications.

Acceptability of Lean Six Sigma in a developing economy:results from exploratory research in Nigerian consulting companies

The application of Lean Six Sigma (LSS) varies in different regions of the world in terms of both level of understanding and acceptability. Employing a qualitative methodological approach, this paper aims to explore factors hindering the acceptability of the LSS initiative in organizations and list factors required for successful application and implementation in a developing economy from the perspective of LSS consultants. Using Nigeria as a case study, primary data were collected though a number of semi-structured interviews with representatives of leading continuous improvement consultancy firms in Nigeria. Finding draws out links between major factors such as drivers and motivation, LSS performance, marketability and challenges to the acceptability and applicability of LSS in Nigeria. Further findings highlight major factors such as lack of management buy-in, level of awareness, certification driven market, Nigerian environment and culture, etc as problems that hinder successful implementation of LSS in Nigeria. This paper contributes to the theoretical foundation of critical success factors required for the implementation of Lean Six Sigma, with results from the experience of a developing economy.

Neuroprotection and regeneration of adult lesioned retinal ganglion cells by the modulation of fibroblast growth factor-2 and receptor tyrosine phosphatase-sigma

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal.

Neuroprotection and regeneration of adult lesioned retinal ganglion cells by the modulation of fibroblast growth factor-2 and receptor tyrosine phosphatase-sigma

Thèse numérisée par la Direction des bibliothèques de l'Université de Montréal.

Design, analysis and evaluation of sigma-delta based beamformers for medical ultrasound imaging applications

The inherent analogue nature of medical ultrasound signals in conjunction with the abundant merits provided by digital image acquisition, together with the increasing use of relatively simple front-end circuitries, have created considerable demand for single-bit  beamformers in digital ultrasound imaging systems. Furthermore, the increasing need to design lightweight ultrasound systems with low power consumption and low noise, provide ample justification for development and innovation in the use of single-bit  beamformers in ultrasound imaging systems. The overall aim of this research program is to investigate, establish, develop and confirm through a combination of theoretical analysis and detailed simulations, that utilize raw phantom data sets, suitable techniques for the design of simple-to-implement hardware efficient  digital ultrasound beamformers to address the requirements for 3D scanners with large channel counts, as well as portable and lightweight ultrasound scanners for point-of-care applications and intravascular imaging systems. In addition, the stability boundaries of higher-order High-Pass (HP) and Band-Pass (BP) Σ−Δ modulators for single- and dual- sinusoidal inputs are determined using quasi-linear modeling together with the describing-function method, to more accurately model the  modulator quantizer. The theoretical results are shown to be in good agreement with the simulation results for a variety of input amplitudes, bandwidths, and modulator orders. The proposed mathematical models of the quantizer will immensely help speed up the design of higher order HP and BP Σ−Δ modulators to be applicable for digital ultrasound beamformers. Finally, a user friendly design and performance evaluation tool for LP, BP and HP  modulators is developed. This toolbox, which uses various design methodologies and covers an assortment of  modulators topologies, is intended to accelerate the design process and evaluation of  modulators. This design tool is further developed to enable the design, analysis and evaluation of  beamformer structures including the noise analyses of the final B-scan images. Thus, this tool will allow researchers and practitioners to design and verify different reconstruction filters and analyze the results directly on the B-scan ultrasound images thereby saving considerable time and effort.

Ischemic necrosis with sigma perforation in a patient with Systemic Lupus Erythematosus (SLE): case report

Systemic Lupus Erythematosus (SLE) is a chronic inflammatory rheumatic disease which affects the connective tissue. Its etiology is as yet unknown, while its pathogenesis involves the immune system. Both genetic and environmental and hormonal factors play a key role in the impaired immune regulation. A correlation with estrogens is demonstrated by the fact that the greatest incidence is found in young women, when estrogen secretion is at its highest. The disease is also reported to worsen in women taking oral contraceptives. It is therefore believed that the components of oral contraceptives, estrogens (ethinyl estradiol) and progestins, can affect the immune profile. Of the various complications attributed to systemic lupus erythematosus, gastrointestinal disorders are less common but potentially by far the most serious. We report a case of ischemic necrosis with sigma perforation in a patient with SLE. Signs and symptoms of acute abdomen in patients with SLE are rare (0.2%), but serious. Most patients require an exploratory laparotomy, as the causes are often linked with vasculitis.

Synchronous primary malignant tumors of the breast, caecum and sigma. Case report

We present the case of a patient with a double adenocarcinoma of the right colon and sigma associated with a bilateral infiltrating ductal breast carcinoma. Sigma and caecum bowel cancers were diagnosed at colonoscopy, with computerized tomography staging, while breast cancer was found with screening mammography. Following right hemicolectomy , sigmoidectomy and bilateral mastectomy the histology confirmed the presence of colonic adenocarcinoma and infiltrating and in situ lobular cancer. This case report reviews the treatment of synchronous neoplasia.

Aplicación de la metodología Six Sigma para solucionar problemas de calidad en una empresa metalmecánica

En la actualidad muchas compañías enfocan sus esfuerzos en la chequera del cliente generando con esto una cortina de humo al interior de la empresa que hace que se descuiden los costos, se conviva con actividades que no agregan valor y se desconozcan las causas de los principales problemas de calidad que afectan al cliente. Este es el caso de la compañía metalmecánica objeto de esta investigación, la cual venía sobrellevando altos niveles de inventarios, reprocesos, problemas de calidad, falta de corresponsabilidad del personal, y otras situaciones que la estaban dejando vulnerable ante la competencia. Este fue el motivo que inspiró esta investigación en aras de validar una metodología de mejora continua para identificar, analizar, proponer, evaluar y reducir los costos de no calidad y sus implicaciones, de una forma ordenada, rigurosa y disciplinada. Posterior a la implementación del plan de acción los resultados no se hicieron esperar y la compañía mejoró su servicio al cliente sin incurrir en excesos de inventario, al igual que disminuyó sus sobrecostos de producción, los cuales eran generados en gran medida por problemas de calidad. Pero lo más significativo es que asimiló que esta metodología es un proceso continuo que no puede parar y que todo el personal de la empresa debe estar implicado.

Sigma models for genuinely non-geometric backgrounds

The existence of genuinely non-geometric backgrounds, i.e. ones without geometric dual, is an important question in string theory. In this paper we examine this question from a sigma model perspective. First we construct a particular class of Courant algebroids as protobialgebroids with all types of geometric and non-geometric fluxes. For such structures we apply the mathematical result that any Courant algebroid gives rise to a 3D topological sigma model of the AKSZ type and we discuss the corresponding 2D field theories. It is found that these models are always geometric, even when both 2-form and 2-vector fields are neither vanishing nor inverse of one another. Taking a further step, we suggest an extended class of 3D sigma models, whose world volume is embedded in phase space, which allow for genuinely non-geometric backgrounds. Adopting the doubled formalism such models can be related to double field theory, albeit from a world sheet perspective.

T-duality without isometry via extended gauge symmetries of 2D sigma models

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector fields along the directions that T-duality is performed have to generate isometries. In the present paper we examine in detail the possibility to perform T-duality along non-isometric directions. In particular, based on a recent work of Kotov and Strobl, we study gauged 2D sigma models where gauge invariance for an extended set of gauge transformations imposes weaker constraints than in the standard case, notably the corresponding vector fields are not Killing. This formulation enables us to follow a procedure analogous to the derivation of the Buscher rules and obtain two dual models, by integrating out once the Lagrange multipliers and once the gauge fields. We show that this construction indeed works in non-trivial cases by examining an explicit class of examples based on step 2 nilmanifolds.