Fixed points on Klein bottle fiber bundles over the circle

The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S(1) has been solved recently.

Pseudo Focal Points Along Lorentzian Geodesics and Morse Index

Given a Lorentzian manifold (M,g), a geodesic gamma in M and a timelike Jacobi field Y along gamma, we introduce a special class of instants along gamma that we call Y-pseudo conjugate (or focal relatively to some initial orthogonal submanifold). We prove that the Y-pseudo conjugate instants form a finite set, and their number equals the Morse index of (a suitable restriction of) the index form. This gives a Riemannian-like Morse index theorem. As special cases of the theory, we will consider geodesics in stationary and static Lorentzian manifolds, where the Jacobi field Y is obtained as the restriction of a globally defined timelike Killing vector field.

COMPARISON RESULTS FOR CONJUGATE AND FOCAL POINTS IN SEMI-RIEMANNIAN GEOMETRY VIA MASLOV INDEX

We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a symplectic space. We discuss some applications to the study of conjugate and focal points along a geodesic in a semi-Riemannian manifold.

Improved Prediction of Hydrocarbon Flash Points from Boiling Point Data

Flash points (T(FP)) of hydrocarbons are calculated from their flash point numbers, N(FP), with the relationship T(FP) (K) = 23.369N(FP)(2/3) + 20.010N(FP)(1/3) + 31.901 In turn, the N(FP) values can be predicted from experimental boiling point numbers (Y(BP)) and molecular structure with the equation N(FP) = 0.987 Y(BP) + 0.176D + 0.687T + 0.712B - 0.176 where D is the number of olefinic double bonds in the structure, T is the number of triple bonds, and B is the number of aromatic rings. For a data set consisting of 300 diverse hydrocarbons, the average absolute deviation between the literature and predicted flash points was 2.9 K.

Calculating Flash Point Numbers from Molecular Structure: An Improved Method for Predicting the Flash Points of Acyclic Alkanes

We report a novel method for calculating flash points of acyclic alkanes from flash point numbers, N(FP), which can be calculated from experimental or calculated boiling point numbers (Y(BP)) with the equation N(FP) = 1.020Y(BP) - 1.083 Flash points (FP) are then determined from the relationship FP(K) = 23.369N(FP)(2/3) + 20.010N(FP)(1/3) + 31.901 For it data set of 102 linear and branched alkanes, the correlation of literature and predicted flash points has R(2) = 0.985 and an average absolute deviation of 3.38 K. N(FP) values can also be estimated directly from molecular structure to produce an even closer correspondence of literature and predicted FP values. Furthermore, N(FP) values provide a new method to evaluate the reliability of literature flash point data.

Simple Method to Evaluate and to Predict Flash Points of Organic Compounds

Flash points (T(FP)) of organic compounds are calculated from their flash point numbers, N(FP), with the relationship T(FP) = 23.369N(FP)(2/3) + 20.010N(FP)(1/3) + 31.901. In turn, the N(FP) values can be predicted from boiling point numbers (Y(BP)) and functional group counts with the equation N(FP) = 0.974Y(BP) + Sigma(i)n(i)G(i) + 0.095 where G(i) is a functional group-specific contribution to the value of N(FP) and n(i) is the number of such functional groups in the structure. For a data set consisting of 1000 diverse organic compounds, the average absolute deviation between reported and predicted flash points was less than 2.5 K.

Physiological demands of competitive elite cross-country skiing

Introduction Researchers have, for decades, contributed to an increased collective understanding of the physiological demands in cross-country skiing; however, almost all of these studies have used either non-elite subjects and/or performances that emulate cross-country skiing. To establish the physiological demands of cross-country skiing, it is important to relate the investigated physiological variables to the competitive performance of elite skiers. The overall aim of this doctoral thesis was, therefore, to investigate the external validity of physiological test variables to determine the physiological demands in competitive elite cross-country skiing. Methods The subjects in Study I – IV were elite male (I – III) and female (III – IV) cross-country skiers. In all studies, the relationship between test variables (general and ski-specific) and competitive performances (i.e. the results from competitions or the overall ski-ranking points of the International Ski Federation (FIS) for sprint (FISsprint) and distance (FISdist) races) were analysed. Test variables reflecting the subject’s general strength, upper-body and whole-body oxygen uptake, oxygen uptake and work intensity at the lactate threshold, mean upper-body power, lean mass, and maximal double-poling speed were investigated. Results The ability to maintain a high work rate without accumulating lactate is an indicator of distance performance, independent of sex (I, IV). Independent of sex, high oxygen uptake in whole-body and upper-body exercise was important for both sprint (II, IV) and distance (I, IV) performance. The maximal double-poling speed and 60-s double-poling mean power output were indicators of sprint (IV) and distance performance (I), respectively. Lean mass was correlated with distance performance for women (III), whereas correlations were found between lean mass and sprint performance among both male and female skiers (III). Moreover, no correlations between distance performance and test variables were derived from tests of knee-extension peak torque, vertical jumps, or double poling on a ski-ergometer with 20-s and 360-s durations (I), whereas gross efficiency while treadmill roller skiing showed no correlation with either distance or sprint performance in cross-country skiing (IV). Conclusion The results in this thesis show that, depending on discipline and sex, maximal and peak oxygen uptake, work intensity at the lactate threshold, lean mass, double-poling mean power output, and double-poling maximal speed are all externally valid physiological test variables for evaluation of performance capability among elite cross-country skiers; however, to optimally indicate performance capability different test-variable expressions should be used; in general, the absolute expression appears to be a better indicator of competitive sprint performance whereas the influence of body mass should be considered when evaluating competitive distance performance capability of elite cross-country skiers.

Reading Is, Like, You Know, Sooooo Gross!

“Huge Decline in Book Reading” ran one headline. “Cultural Atrophy!” read another. “Study Links Drop in Test Scores to a Decline Spent in Reading” ran one for the “Duh!” award. “Americans are Closing the Book on Reading” said one, vying for the pun-acious trophy.

Desenvolvimento de metodologia de rating baseada no modelo ordered probit

Nos últimos anos o mercado de crédito brasileiro apresentou grande crescimento em termos de volume e modalidade de operações de crédito. Além disso, observou-se também o aumento da participação dos bancos nesse setor, principais intermediários financeiros da economia. Com isso, em um mercado em desenvolvimento, torna-se cada vez mais importante a correta avaliação e administração do risco financeiro envolvido nas operações: o risco de crédito. Nesse contexto, a classificação de rating surge como referência para investidores. No entanto, como o mercado bancário brasileiro ainda é pouco desenvolvido, apenas instituições de grande porte são classificados pelas agências de rating em funcionamento no país. Este trabalho tem como objetivo o desenvolvimento de uma metodologia de rating baseada no modelo ordered probit, que seja capaz de replicar o nível de rating de uma determinada agência, e assim conseguir estimar o nível de rating para aqueles bancos que não têm a referida classificação de rating

O regime geral de previdência social: diagnósticos estruturais críticos e proposta de reformas

Since the last decade of the past century and further, there have been increased, polemic discussions in Brazil that are also occurring simultaneously in the rest of the world: the sustainability of public pension systems. The Brazilian system, which is denominated as the General Regimen of Social Welfare and was established in a distribution regimen, is becoming a growing source of expenditures for the Federal Government and is contributing to the increasing of its fiscal deficit. This situation started to decline after the promulgation of the Federal Constitution in 1988, in which actions had been established reflecting the feeling of ¿social debt¿ existing in the country by that time after years of economic growth without yield redistribution. Thus, benevolent rules had been instituted that provided an assistancialist character to the program, making it unsustainable when it is seen by the internationally accepted premise of the pension system as social insurance with perpetual duration. In consequence, there was an explosive growth of the financial needs of the system reaching the equivalent of 1.63% of the Gross Domestic Product in 2005. In this sense, many arguments in favor of revision and reforms in the current model had solidified, resulting, in 1998, in some changes in the contribution rules of the diverse sectors of society, as well as in the concession of benefit rules. However, such changes had not obtained significant effects since the main source of the imbalance, which is essentially structural, was not attacked. Therefore, this research seeks to diagnose some of the most structural points in the current public pension system in Brazil and evaluate what can be done in terms of reforms to turn the program into balance again and in restore harmony with its conceptual objectives.

A capacitação de gestão estratégica como um instrumento na avaliação do crédito de curto prazo

Esta dissertação busca introduzir no Modelo de Análise de Crédito dos Bancos Comerciais alguns fatores estratégicos fundamentais para boa avaliação e defElrimento de uma operação de crédito de curto prazo. Para este fim foi elaborado um modelo Rating que tem como objetivo levar em consideração além da análise cadastral, econômico-financeira e das garantias, uma visão de todo o conjunto da empresa, dando um peso fundamental na estratégia de atuélção analisando \a competitividade , o ambiente interno e externo para que se possa chegar a um número que irá determinar o deferimento ou não da operação, dentro de parâmetros de risco definido pela instituição financeira detontora do recurso, cumprindo as normas do Sistema Financeiro Nacional.

A precificação do spread de liquidez no mercado secundário de debêntures

O objetivo desse trabalho é analisar e precificar o prêmio de liquidez exigido pelos investidores nas negociações de debêntures do mercado secundário brasileiro, com base no yield to maturity diário desses papéis. Os testes econométricos foram realizados com base no modelo apresentado por Houweling, Mentink e Vorst (2005) e aplicado ao mercado de eurobonds nos períodos de 1999 a 2001. Foi implementado um modelo de 5 variáveis para controlar, através de betas e características, os outros tipos de risco determinantes do spread das debêntures que não a liquidez. O conhecido modelo de títulos de renda fixa de dois fatores Fama-French (1993) foi utilizado para controlar os riscos de crédito e de taxas de juros, foram incorporados efeitos marginais, através das características individuais (rating e duration) das debêntures e uma adaptação para as particularidades do mercado brasileiro foi realizada, com a inclusão de um fator baseado na taxa PréxDI da duration dos portfólios. Para esse estudo, foram consideradas 4 proxies de liquidez largamente utilizadas na literatura: Volume de Emissão, Idade da Emissão, Número de Transações no dia e Spread de Compra e Venda, sendo o modelo estimado uma vez para cada proxy analisada. Para realizar os testes de regressão e precificar o prêmio de liquidez no mercado secundário de debêntures do Brasil, todas as variáveis do modelo foram calculadas para cada uma das amostras de dados. Posteriormente, para cada proxy de liquidez foram construídos diariamente portfólios mutuamente excludentes, com as debêntures segregadas em portfólios de acordo com a proxy de liquidez em questão, conforme a metodologia proposta por Brennan e Subrahmanyam (1996). A base de dados, que somou 16.083 amostras, se fundamentou nas cotações de mercado fornecidas diariamente pelo Sistema Nacional de Debêntures no período de Maio de 2004 a Novembro de 2006. A hipótese nula de que não existe prêmio de liquidez embutido nos spreads das debêntures negociadas no mercado secundário brasileiro é rejeitada para todas as proxies analisadas. De acordo com a proxy de liquidez utilizada, o prêmio de liquidez no mercado secundário de debêntures varia de 8 a 30 basis points.

Brazil: the pressure points in labor legislation

Brazil’s experience shows that the economic and political history of a country is a critical determinant of which labor laws influence wages and employment, and which are not binding. Long periods of high inflation, illiteracy of the workforce, and biases in the design and enforcement of labor legislation bred by the country’s socioeconomic history are all important in determining the reach of labor laws. Defying conventional wisdom, these factors are shown to affect labor market outcomes even in the sector of employment regarded as unregulated. Following accepted practice in Brazil, we distinguish regulated from unregulated employment by determining whether or not the contract has been ratified by the Ministry of Labor, viz., groups of workers with and without signed work booklet. We then examine the degree of adherence to labor laws in the formal and informal sectors, and finds “pressure points” – viz., evidence of the law on minimum wage, work-hours, and payment timing being binding on outcomes – in both the formal and informal sectors of the Brazilian labor market. The findings of the paper imply that in terms of the design of legislation, informality in Brazil is mainly a fiscal, and not a legal phenomenon. But the manner in which these laws have been enforced is also critical determinant of informality in Brazil: poor record-keeping has strengthened the incentives to stay informal that are already built into the design of the main social security programs, and ambiguities in the design of labor legislation combined with slanted enforcement by labor courts have led to workers effectively being accorded the same labor rights whether or not they have ratified contracts. The incentives to stay informal are naturally higher for workers who are assured of protection under labor legislation regardless of the nature of their contract, which only alters their financial relationship with the government. The paper concludes that informality in Brazil will remain high as long as labor laws remain ambiguous and enforced with a clear pro-labor bias, and social security programs lack tight benefitcontribution linkages and strong enforcement mechanisms.

Associações entre rating de crédito e estrutura de capitais de empresas listadas na América Latina

Um rating de crédito de baixo (ou alto) risco possibilita uma redução (ou elevação) do spread pago pelo emissor na ocasião da emissão de títulos de crédito, bem como na captação de financiamentos e empréstimos bancários. Assim, o rating apresenta-se como um aspecto relevante nas decisões de estrutura de capitais de uma empresa, sobretudo pela possibilidade de influenciar nos seus níveis de dívidas. Todavia, apesar da importância atribuída pelos agentes de mercado e a existência de indícios empíricos do efeito do rating sobre a estrutura de capitais de uma empresa, os poucos estudos já realizados acerca das associações entre as tendências de reclassificações dos ratings de crédito e as decisões de estrutura de capitais de uma firma não têm abordado os mercados latino-americanos. Não são comuns nos mercados da América Latina estudos analisando se as empresas avaliam internamente a iminência de uma reclassificação do seu rating e, a partir disso, alteram a sua composição de estrutura de capitais de modo a evitar que ocorra um downgrade, ou mesmo para estimular a ocorrência de um upgrade, em sua classificação de risco de crédito. Nesse sentido, o objetivo desta pesquisa é analisar o impacto das tendências de reclassificações do rating de crédito sobre as decisões de estrutura de capitais de empresas listadas da América Latina. Para verificar a existência dessa associação foram empregados dados pertencentes a todas as empresas não-financeiras listadas da América Latina, possuidoras de ratings emitidos pelas três principais agências de ratings internacionais (i.e. Stardand & Poor´s, Moody´s e Fitch) em janeiro de 2010. Desse modo, fizeram parte da pesquisa todas as empresas listadas em seis diferentes países latino-americanos, no período 2001-2010. Os principais resultados empíricos obtidos sugerem que: (i) as reclassificações dos ratings de crédito não possuem conteúdo informacional para as decisões de estrutura de capitais das empresas listadas da América Latina, ou seja, não foi observada associação entre as tendências de reclassificações do ratings de crédito e as decisões sobre composição das estruturas de capitais das empresas listadas da América Latina; (ii) entre as empresas consideradas na pesquisa, aquelas que se encontravam em níveis piores de riscos e na iminência de reclassificações do rating de crédito, tenderam a utilizar mais dívidas do que as outras empresas analisadas na pesquisa.