Global minimization using an Augmented Lagrangian method with variable lower-level constraints

A novel global optimization method based on an Augmented Lagrangian framework is introduced for continuous constrained nonlinear optimization problems. At each outer iteration k the method requires the epsilon(k)-global minimization of the Augmented Lagrangian with simple constraints, where epsilon(k) -> epsilon. Global convergence to an epsilon-global minimizer of the original problem is proved. The subproblems are solved using the alpha BB method. Numerical experiments are presented.

THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE

Motivated in part by the study of Fadell-Neuwirth short exact sequences, we determine the lower central and derived series for the braid groups of the finitely-punctured sphere. For n >= 1, the class of m-string braid groups B(m)(S(2)\{x(1), ... , x(n)}) of the n-punctured sphere includes the usual Artin braid groups B(m) (for n = 1), those of the annulus, which are Artin groups of type B (for n = 2), and affine Artin groups of type (C) over tilde (for n = 3). We first consider the case n = 1. Motivated by the study of almost periodic solutions of algebraic equations with almost periodic coefficients, Gorin and Lin calculated the commutator subgroup of the Artin braid groups. We extend their results, and show that the lower central series (respectively, derived series) of B(m) is completely determined for all m is an element of N (respectively, for all m not equal 4). In the exceptional case m = 4, we obtain some higher elements of the derived series and its quotients. When n >= 2, we prove that the lower central series (respectively, derived series) of B(m)(S(2)\{x(1), ... , x(n)}) is constant from the commutator subgroup onwards for all m >= 3 (respectively, m >= 5). The case m = 1 is that of the free group of rank n - 1. The case n = 2 is of particular interest notably when m = 2 also. In this case, the commutator subgroup is a free group of infinite rank. We then go on to show that B(2)(S(2)\{x(1), x(2)}) admits various interpretations, as the Baumslag-Solitar group BS(2, 2), or as a one-relator group with non-trivial centre for example. We conclude from this latter fact that B(2)(S(2)\{x(1), x(2)}) is residually nilpotent, and that from the commutator subgroup onwards, its lower central series coincides with that of the free product Z(2) * Z. Further, its lower central series quotients Gamma(i)/Gamma(i+1) are direct sums of copies of Z(2), the number of summands being determined explicitly. In the case m >= 3 and n = 2, we obtain a presentation of the derived subgroup, from which we deduce its Abelianization. Finally, in the case n = 3, we obtain partial results for the derived series, and we prove that the lower central series quotients Gamma(i)/Gamma(i+1) are 2-elementary finitely-generated groups.

The lower central and derived series of the braid groups of the projective plane

In this paper, we determine the lower central and derived series for the braid groups of the projective plane. We are motivated in part by the study of Fadell-Neuwirth short exact sequences, but the problem is interesting in its own right. The n-string braid groups B(n)(RP(2)) of the projective plane RP(2) were originally studied by Van Buskirk during the 1960s. and are of particular interest due to the fact that they have torsion. The group B(1)(RP(2)) (resp. B(2)(RP(2))) is isomorphic to the cyclic group Z(2) of order 2 (resp. the generalised quaternion group of order 16) and hence their lower central and derived series are known. If n > 2, we first prove that the lower central series of B(n)(RP(2)) is constant from the commutator subgroup onwards. We observe that Gamma(2)(B(3)(RP(2))) is isomorphic to (F(3) X Q(8)) X Z(3), where F(k) denotes the free group of rank k, and Q(8) denotes the quaternion group of order 8, and that Gamma(2)(B(4)(RP(2))) is an extension of an index 2 subgroup K of P(4)(RP(2)) by Z(2) circle plus Z(2). As for the derived series of B(n)(RP(2)), we show that for all n >= 5, it is constant from the derived subgroup onwards. The group B(n)(RP(2)) being finite and soluble for n <= 2, the critical cases are n = 3, 4. We are able to determine completely the derived series of B(3)(RP(2)). The subgroups (B(3)(RP(2)))((1)), (B(3)(RP(2)))((2)) and (B(3)(RP(2)))((3)) are isomorphic respectively to (F(3) x Q(8)) x Z(3), F(3) X Q(8) and F(9) X Z(2), and we compute the derived series quotients of these groups. From (B(3)(RP(2)))((4)) onwards, the derived series of B(3)(RP(2)), as well as its successive derived series quotients, coincide with those of F(9). We analyse the derived series of B(4)(RP(2)) and its quotients up to (B(4)(RP(2)))((4)), and we show that (B(4)(RP(2)))((4)) is a semi-direct product of F(129) by F(17). Finally, we give a presentation of Gamma(2)(B(n)(RP(2))). (C) 2011 Elsevier Inc. All rights reserved.

Co-stressors chilling and high light increase photooxidative stress in diuron-treated red alga Kappaphycus alvarezii but with lower involvement of H(2)O(2)

Diuron is one of the most commonly found N-phenylurea herbicides in marine/estuarine waters that promotes toxic effects by inhibiting photosynthesis and affecting the production of reactive oxygen species (ROS) in autotrophs. Since photo- and thermoacclimation are also ROS-mediated processes, this work evaluates a hypothetical additive effect of high light (HL) and chilling (12 degrees C) on 50 nM diuron toxicity to the highly-photosynthetically active apices of the red alga Kappaphycus alvarezii. Additive inhibition of photosynthesis was mainly evidenced by significant decreases of quantum yield of photosystem II and electron transfer rates upon co-stressors exposure to diuron-treated algae. Under extreme 12 degrees C/HL/diuron conditions, unexpected lower correlations between H(2)O(2) concentrations in seawater and radical-sensitive protein thiols were concomitantly measured with the highest indexes of photoinhibition (parameter beta). Altogether, these data support the hypothesis that co-stressors chilling/HL additively inhibit photosynthesis in diuron-exposed K. alvarezii but with less involvement of H(2)O(2) in injury effects than with only chilling or HL. (C) 2010 Elsevier Inc. All rights reserved.

The power of literature : A literature review on the incorporation of children’s literature in the lower-elementary English as a Second- Language classroom.

The use of children’s literature in the English as a Second language (ESL) classroom is a widely used teaching method. This study aims to find research relating to the incorporation of children’s literature in the lower elementary English as a secondlanguage classroom. The main questions are how children’s literature can be used in the classroom and what potential benefits it has. A systematic literature review was carried out and research from six studies was included. The included studies, analyzed in this thesis, involved children aged 6-9, who are learning a second language. The results reveal multiple benefits with the use of children’s literature in the lower elementary ESL classroom, such as vocabulary gains, improved speaking and listening skills, increased motivation and better pronunciation. The results also present a few suggestions on how to incorporate the literature in the classroom, where reading aloud to the students appears to be the most common practice. It also appears common to have post-reading sessions that include discussions about what has been read.

Teaching Mathematics in English to Swedish Speaking Students : The Use of Second Language Teaching Practices in the Teaching of Mathematics in English to Swedish Speaking Students in Lower Secondary School

Over 20,000 Swedish lower high school students are currently learning mathematics in English but little research has been conducted in this area. This study looks into the question of how much second language learner training teachers teaching mathematics in English to Swedish speaking students have acquired and how many of those teachers are using effective teaching practices for second language learners. The study confirms earlier findings that report few teachers receive training in second language learning but indicates that some of the teaching practices shown to be effective with second language learners are being used in some Swedish schools

Strategies to Increase Course Completion Rates in Lower-Level, High-Enrollment Classes

With an increase in performance-based funding based on credit hours, retention, and graduation rates, administrators seek strategies to increase course completion rates in low-level, high-enrollment courses. This report examines pedagogical strategies implemented within the classroom to increase course completion rates in gateway courses. It also examines how administrators identify qualities that indicate experience and motivation to improve students’ success when hiring new faculty.

Relationship banking: does it lower information asymmetry or increase lender monopoly power?

A literatura teórica sobre economia bancária aponta que o relacionamento duradouro entre um emprestador e uma firma tomadora pode revelar informações sobre a qualidade de crédito da firma. Entretanto, trabalhos teóricos preveem diferentes resultados do efeito do relacionamento bancário sobre a taxa de juros e volume ofertado do empréstimo. De acordo com Diamond (1991) e outros, se o relacionamento bancário for revelar a todos os credores a qualidade de crédito da firma, espera-se como efeitos o aumento do volume dos empréstimos e redução na taxa de juros. Por outro lado, se o relacionamento bancário revelar as informações de crédito da firma apenas para o fornecedor principal, então se pode não ter os efeitos de aumento do volume e redução na taxa de juros. Este trabalho demonstra empiricamente quais são os efeitos das informações públicas e privadas geradas pelo relacionamento bancário no montante do empréstimo e na taxa de juros cobrada pelas instituições financeiras para as firmas. Usamos como medida de informação pública o tempo de relacionamento entre o banco e tomador, que pode ser encontrado em bureaux externos como Serasa Experian e Serviço Central de Proteção ao Crédito (SCPC) ou no Sistema de Informação do Banco Central (SISBACEN). Usamos como modelo de informação privada medidas que indicam o pagamento do débito em atraso por parte do tomador, o qual é de conhecimento apenas de cada credor. De acordo com a teoria, espera-se que a informação pública de tempo de relacionamento bancário indicará a qualidade do credor e resultará em maior volume de empréstimo e taxa de juros menores. As informações privadas sobre pagamentos em atraso, por ser exclusiva do credor principal, não terão efeitos sobre o montante do empréstimo e sobre a taxa de juros. No teste empírico, foram analisados dois mil setecentos e oitenta e cinco empréstimos do produto capital de giro concedidos a cinquenta e três empresas, fornecidos por uma instituição financeira do Estado do Espírito Santo. Utilizando o modelo econométrico dados em painel com efeito fixo de firma, encontramos que o tempo de relacionamento bancário é positivamente correlacionado ao valor do principal do empréstimo e é negativamente correlacionado ao spread bancário. Ambos os efeitos são estatisticamente significantes ao nível de 5,00%. Resultados similares ao encontrado por Berger e Udell (1995). Os resultados mostram que um relacionamento duradouro entre firmas e instituições financeiras reduz a assimetria de informação, gerando benefícios para as firmas. Para testar o feito da informação privada, foram utilizadas informações de atraso das firmas com a instituição financeira. Esses dados foram usados internamente, não divulgados em bureaux de crédito. As variáveis testadas foram número de parcelas pagas em atraso no mês anterior, a soma das parcelas pagas em atraso, flag se já efetuou pagamento em atraso e meses desde o último pagamento em atraso. Não têm efeito as informações privadas sobre o spread e o valor do principal do empréstimo. Resultados similares aos encontrados por Sharpe (1990).

Food waste in lower-middle income households: a qualitative analysis of antecedents and a typology of food wasters

Esta dissertação doutoral, com base em dados empíricos coletados com 50 mães distribuídas no Brasil (n = 30) e nos EUA (n = 20), tem como objetivo fornecer uma melhor compreensão do desperdício de alimento no contexto da baixa renda. A tese é composta por três artigos, que combinados, cumprem os objetivos de identificar os antecedentes do desperdício de alimento e delinear uma tipologia dos desperdiçadores de alimento. Adicionalmente, contextualiza o desperdício global e um capítulo propõe uma agenda futura para estudos sobre desperdício de alimento no âmbito do consumidor. O desperdício de alimento nas famílias, enquanto tema de pesquisa, oferece a oportunidade para o trabalho acadêmico em marketing cumprir os critérios de relevância social, gerencial e para políticas públicas. No primeiro estudo, descrevem-se os fatores do chamado "paradoxo do desperdício de alimento", a identificação e análise do desperdício de alimento em famílias com restrições orçamentárias, enquanto apresentam-se o itinerário do consumo de alimentos e os antecedentes do desperdício. Este primeiro artigo, elaborado com dados coletados em famílias brasileiras, ilustra também o papel das normas culturais, tais como o preparo abundante de alimento para mostrar hospitalidade ou como forma de não ser percebido como pobre, no aumento do desperdício. No segundo artigo, uma grounded-theory (teoria fundamentada nos dados) destaca o papel do afeto e da abundância no desperdício de alimento familiar. Para enriquecer as contribuições teóricas, este segundo estudo apresenta um framework com seis dimensões do desperdício de alimento (1. Afeto; 2. Abundância; 3. Multiplicidade de escolhas; 4. Conveniência; 5. Procrastinação; 6. Rotina sem planejamento). Baseado em dados empíricos coletados em famílias americanas, este estudo proporciona novas explicações, a exemplo de como o estoque abundante de comfort foods - uma forma de impulsionar tanto emoções positivas para si quanto mostrar afeto para crianças – pode gerar mais desperdício de alimentos. Em síntese, o segundo artigo identifica uma consequência negativa do afeto e da abundância de alimentos no contexto familiar, e apresenta um framework teoricamente relevante. Finalmente, o terceiro artigo, a partir do conjunto de dados dos estudos anteriores e de nova coleta com dez famílias, propõe uma tipologia comportamental do desperdício de alimento, uma contribuição original aos estudos de comportamento do consumidor. A identificação de cinco tipos de desperdiçadores de alimentos - (1) Mães carinhosas; (2) Cozinheiras abundantes; (3) Desperdiçadoras de sobras; (4) Procrastinadoras; (5) Mães versáteis - contribui para a teoria, enquanto implicações potenciais para educadores nutricionais e agentes públicos são exploradas a partir dos resultados. Como uma forma de explicar as características de cada um dos cinco tipos identificados, compara-se aspectos das amostras brasileira e norte-americana, que apresentam similaridades no comportamento de desperdício de alimento. Os níveis de desperdício percebidos por país também são comparados. Em suma, os achados dos três artigos podem contribuir para maximizar os resultados de campanhas de conscientização voltadas à mitigação do desperdício de alimento, e apresentam ideias para varejistas interessados em iniciativas de sustentabilidade. Mais abrangentemente, os resultados apresentados também podem ser aplicados para incrementar programas de combate à fome e projetos de educação nutricional realizados pelo setor público ou ONGs.

Development of an active orthosis prototype for lower limbs

ARAUJO, Márcio V. ; ALSINA, Pablo J. ; MEDEIROS, Adelardo A. D. ; PEREIRA, Jonathan P.P. ; DOMINGOS, Elber C. ; ARAÚJO, Fábio M.U. ; SILVA, Jáder S. . Development of an Active Orthosis Prototype for Lower Limbs. In: INTERNATIONAL CONGRESS OF MECHANICAL ENGINEERING, 20., 2009, Gramado, RS. Proceedings… Gramado, RS: [s. n.], 2009

Old beagle dogs have lower faecal concentrations of some fermentation products and lower peripheral lymphocyte counts than young adult beagles

The effects of age on microbiota composition, gut fermentation end-product formation and peripheral lymphocyte numbers were compared between old and young adult Beagle dogs fed four kibble diets differing in yeast cell wall contents. The experiment had a double 4 x 4 Latin square design, one with four mature dogs (4 years old) and the other with four old dogs (10 years old), with four replicates (diets) per dog. In each period a 15d adaptation period preceded a 5d total collection of faeces for the digestibility trial. on day 21, fresh faecal samples were collected for the determination of bacterial enumeration, pH, biogenic amine and short-chain fatty acid. Flow cytometry was used for immunophenotypic evaluation. Dogs were fed four kibble diets with similar composition with 0, 0.15, 0.30 and 0.45% of yeast cell wall (as-fed), respectively. Data were evaluated using general linear models of Statistical Analysis Systems statistical software (P<0.05). No evidence of a difference in faecal bacteria counts between ages was found (total aerobes, total anaerobes, Bifidobacterium, Lactobacillus, Clostridium and Escherichia coli: P. 0.15). Faecal concentrations of butyrate, histamine, agmatine and spermine were lower (P <= 0.05) and faecal pH was higher (P=0.03) in older dogs than in mature adult dogs, suggesting an alteration in bacterial metabolic activity, or in the rate of intestinal absorption of these compounds. Concentrations of T-lymphocytes, T-cytotoxic lymphocytes and B-lymphocytes were also lower (P <= 0.01) in older dogs than in mature adult dogs. The study confirmed alterations in peripheral lymphocytes and revealed a reduced concentration of some fermentation end products in the colon of old dogs.