Encryption methods using formal power series rings

Recently there has been a great deal of work on noncommutative algebraic cryptography. This involves the use of noncommutative algebraic objects as the platforms for encryption systems. Most of this work, such as the Anshel-Anshel-Goldfeld scheme, the Ko-Lee scheme and the Baumslag-Fine-Xu Modular group scheme use nonabelian groups as the basic algebraic object. Some of these encryption methods have been successful and some have been broken. It has been suggested that at this point further pure group theoretic research, with an eye towards cryptographic applications, is necessary.In the present study we attempt to extend the class of noncommutative algebraic objects to be used in cryptography. In particular we explore several different methods to use a formal power series ring R && x1; :::; xn && in noncommuting variables x1; :::; xn as a base to develop cryptosystems. Although R can be any ring we have in mind formal power series rings over the rationals Q. We use in particular a result of Magnus that a finitely generated free group F has a faithful representation in a quotient of the formal power series ring in noncommuting variables.

Estimation of dynamic latent variable models using simulated nonparametric moments

Given a model that can be simulated, conditional moments at a trial parameter value can be calculated with high accuracy by applying kernel smoothing methods to a long simulation. With such conditional moments in hand, standard method of moments techniques can be used to estimate the parameter. Since conditional moments are calculated using kernel smoothing rather than simple averaging, it is not necessary that the model be simulable subject to the conditioning information that is used to define the moment conditions. For this reason, the proposed estimator is applicable to general dynamic latent variable models. Monte Carlo results show that the estimator performs well in comparison to other estimators that have been proposed for estimation of general DLV models.

Construcció i explotació d'un magatzem de dades per a l'anàlisi estadístic dels resultats del Campionat de Fórmula 1

Disseny, construcció i explotació d'un magatzem de dades a partir de la información disponible en fitxer en format MsExcel. El producte final havia de permetre l'explotació de la información sobre els resultats del Campionat de Fórmula 1 mitjançant Oracle Discoverer.

Ventajas e inconvenientes del uso del preservativo con una pareja afectiva heterosexual

Se analiza la validez de constructo y la consistencia interna de un cuestionario sobre ventajas e inconvenientes del uso del preservativo con una pareja afectiva heterosexual, así como su capacidad para predecir el uso del preservativo en el pasado y la intención de uso en los próximos tres meses. Participan en el estudio 1711 estudiantes universitarios (46.3% varones y 60% menores de 21 años) elegidos mediante muestreo de conveniencia. Se emplea un diseño transversal y los datos se recogen mediante autoinforme voluntario y anónimo. Los resultados muestran que la consistencia interna del cuestionario es equiparable a la de otros instrumentos semejantes (alfas de Cronbach en escala de ventajas: .605 y en escala de inconvenientes: .725). Tanto las ventajas como los inconvenientes del uso del preservativo predicen significativamente su uso sistemático en el pasado, con un mayor peso de las ventajas. Entre los jóvenes que no lo han utilizado siempre, y únicamente en los varones, las ventajas predicen la intención de uso en los próximos tres meses. Los resultados apoyan la realización de programas preventivos que destaquen los beneficios derivados del uso de preservativo y, así mismo, reduzcan las percepciones negativas asociadas a su empleo, con una atención preferente a los primeros

Compositional evolution with mass transfer in closed systems

Evolution of compositions in time, space, temperature or other covariates is frequentin practice. For instance, the radioactive decomposition of a sample changes its composition with time. Some of the involved isotopes decompose into other isotopes of thesample, thus producing a transfer of mass from some components to other ones, butpreserving the total mass present in the system. This evolution is traditionally modelledas a system of ordinary di erential equations of the mass of each component. However,this kind of evolution can be decomposed into a compositional change, expressed interms of simplicial derivatives, and a mass evolution (constant in this example). A rst result is that the simplicial system of di erential equations is non-linear, despiteof some subcompositions behaving linearly.The goal is to study the characteristics of such simplicial systems of di erential equa-tions such as linearity and stability. This is performed extracting the compositional differential equations from the mass equations. Then, simplicial derivatives are expressedin coordinates of the simplex, thus reducing the problem to the standard theory ofsystems of di erential equations, including stability. The characterisation of stabilityof these non-linear systems relays on the linearisation of the system of di erential equations at the stationary point, if any. The eigenvelues of the linearised matrix and theassociated behaviour of the orbits are the main tools. For a three component system,these orbits can be plotted both in coordinates of the simplex or in a ternary diagram.A characterisation of processes with transfer of mass in closed systems in terms of stability is thus concluded. Two examples are presented for illustration, one of them is aradioactive decay

Corporate criminal law and organization incentives: A managerial perspective

Corporate criminal liability puts a serious challenge to the economictheory of enforcement. Are corporate crimes different from other crimes?Are these crimes best deterred by punishing individuals, punishing corporations, or both? What is optimal structure of sanctions? Shouldcorporate liability be criminal or civil? This paper has two majorcontributions to the literature. First, it provides a common analyticalframework to most results presented and largely discussed in the field.In second place, by making use of the framework, we provide new insightsinto how corporations should be punished for the offenses committed bytheir employees.

Usefulness of bone densitometry in postmenopausal women with clinically diagnosed vertebral fractures.

Objective: To analyse whether bone mineral density (BMD) assessment is required in postmenopausal women presenting with low trauma vertebral fracture. Methods: Women with vertebral fracture diagnosed over a 10 year period were recruited from our database. The following were excluded: (a) patients with high energy trauma; (b) patients with malignancies; (c) patients with a metabolic bone disease other than osteoporosis. All postmenopausal women were included in whom BMD had been evaluated at both the lumbar spine and femoral neck by dual energy x ray absorptiometry during the six months after the diagnosis. Patients with a potential cause of osteoporosis other than age and menopause were not considered. A total of 215 patients were identified. Results: The mean (SD) age of the patients was 65.9 (6.9) years. BMD at the lumbar spine was 0.725 (0.128) g/cm2 and the T score was ¿2.94 (1.22); BMD at the femoral neck was 0.598 (0.095) g/cm2 and the T score was ¿2.22 (0.89). The BMD of the patients was significantly lower than that of the general population at both the lumbar spine and femoral neck. When the lowest value of the two analysed zones was considered, six patients (3%) showed a normal BMD, 51 (23.5%) osteopenia, and 158 (73.5%) osteoporosis. The prevalence of osteoporosis at the femoral neck increased with age; it was 25% in patients under 60, 35% in patients aged 60¿70, and 60% in patients over 70. Conclusion: These results indicate that bone densitometry is not required in postmenopausal women with clinically diagnosed vertebral fractures if it is performed only to confirm the existence of a low BMD.

Personality, social values, and marital satisfaction as predictors of parents’ rearing styles

Los estilos de crianza parentales pueden afectar la conducta y socialización de los adolescentes, por lo que es de interés conocer cómo algunas variables psicológicas de los padres se relacionan con los estilos de crianza. Este estudio tiene el objetivo de analizar los estilos de crianza de los padres, valores sociales (prestigio social, orden, benevolencia, y conservadurismo-liberalismo), los cinco grandes factores de personalidad, y la satisfacción de pareja (acuerdo general, afecto, satisfacción, y cohesión) en los padres de adolescentes. Este es un estudio prospectivo basado en método de análisis correlacional. Se encontró que los estilos educativos definidos por el cariño y aceptación se relacionan con los rasgos de personalidad como responsabilidad y estabilidad emocional, alta satisfacción de pareja y preferencia por valores prosociales. Al contrario, los estilos de crianza de sobreprotección y favoritismo se relacionan con baja amabilidad y baja apertura el poco ajuste de pareja con falta de cohesión y valores sociales definidos por falta de benevolencia y preferencia por valores de prestigio social.