Heterochromatic paths in edge colored graphs without small cycles and heterochromatic-triangle-free graphs

Conditions for the existence of heterochromatic Hamiltonian paths and cycles in edge colored graphs are well investigated in literature. A related problem in this domain is to obtain good lower bounds for the length of a maximum heterochromatic path in an edge colored graph G. This problem is also well explored by now and the lower bounds are often specified as functions of the minimum color degree of G - the minimum number of distinct colors occurring at edges incident to any vertex of G - denoted by v(G). Initially, it was conjectured that the lower bound for the length of a maximum heterochromatic path for an edge colored graph G would be 2v(G)/3]. Chen and Li (2005) showed that the length of a maximum heterochromatic path in an edge colored graph G is at least v(G) - 1, if 1 <= v(G) <= 7, and at least 3v(G)/5] + 1 if v(G) >= 8. They conjectured that the tight lower bound would be v(G) - 1 and demonstrated some examples which achieve this bound. An unpublished manuscript from the same authors (Chen, Li) reported to show that if v(G) >= 8, then G contains a heterochromatic path of length at least 120 + 1. In this paper, we give lower bounds for the length of a maximum heterochromatic path in edge colored graphs without small cycles. We show that if G has no four cycles, then it contains a heterochromatic path of length at least v(G) - o(v(G)) and if the girth of G is at least 4 log(2)(v(G)) + 2, then it contains a heterochromatic path of length at least v(G) - 2, which is only one less than the bound conjectured by Chen and Li (2005). Other special cases considered include lower bounds for the length of a maximum heterochromatic path in edge colored bipartite graphs and triangle-free graphs: for triangle-free graphs we obtain a lower bound of 5v(G)/6] and for bipartite graphs we obtain a lower bound of 6v(G)-3/7]. In this paper, it is also shown that if the coloring is such that G has no heterochromatic triangles, then G contains a heterochromatic path of length at least 13v(G)/17)]. This improves the previously known 3v(G)/4] bound obtained by Chen and Li (2011). We also give a relatively shorter and simpler proof showing that any edge colored graph G contains a heterochromatic path of length at least (C) 2015 Elsevier Ltd. All rights reserved.

Long-period modulated structure and electric-field-induced structural transformation in Na0.5Bi0.5TiO3-based lead-free piezoelectrics

Na0.5Bi0.5TiO3- based lead-free piezoelectrics exhibiting giant piezostrain are technologically interesting materials for actuator applications. The lack of clarity with regard to the structure of the nonpolar phase of this system has hindered the understanding of the structural mechanism associated with the giant piezostrain and other related phenomena. In this paper, we have investigated the structure and field-induced phase transformation behavior of a model system (0.94 - x) Na0.5Bi0.5TiO3-0.06BaTiO(3)-xK(0.5)Na(0.5)NbO(3) (0.0 <= x <= 0.025). A detailed structural analysis using neutron powder diffraction revealed that the nonpolar phase is neither cubic nor a mixture of rhombohedral (R3c) and tetragonal (P4bm) phases as commonly reported in literature but exhibits a long-period modulated structure, which is most probably of the type root 2 x root 2 x n with n = 16. Our results suggest that the giant piezoelectric strain is associated with a field-induced phase transformation of the long-period modulated structure to rhombohedral R3c structure above a critical field. We also demonstrate that the giant piezostrain is lost if the system retains a fraction of the field-induced R3c phase. A possible correlation among depolarization temperature, giant piezostrain, and its electrical fatigue behavior has also been indicated.

Size Effects in Micro-bending Deformation of MEMS Devices Based on the Discrete Dislocation Theory

In the present research, the discrete dislocation theory is used to analyze the size effect phenomena for the MEMS devices undergoing micro-bending load. A consistent result with the experimental one in literature is obtained. In order to check the effectiveness to use the discrete dislocation theory in predicting the size effect, both the basic version theory and the updated one are adopted simultaneously. The normalized stress-strain relations of the material are obtained for different plate thickness or for different obstacle density. The prediction results are compared with experimental results.

Upwind compact method and direct numerical-simulation of driven flow in a square cavity

A high-order accurate finite-difference scheme, the upwind compact method, is proposed. The 2-D unsteady incompressible Navier-Stokes equations are solved in primitive variables. The nonlinear convection terms in the governing equations are approximated by using upwind biased compact difference, and other spatial derivative terms are discretized by using the fourth-order compact difference. The upwind compact method is used to solve the driven flow in a square cavity. Solutions are obtained for Reynolds numbers as high as 10000. When Re less than or equal to 5000, the results agree well with those in literature. When Re = 7500 and Re = 10000, there is no convergence to a steady laminar solution, and the flow becomes unsteady and periodic.

Teaching how to Look at and View Bodies within Literature

[EN] This paper focuses on how to initiate discussions of the regulatory gaze in primary school classrooms through the study of characters in literature. It specifically focuses on two renowned characters in Spanish literature: Xola (Bernardo Atxaga) and Iholdi (Mariasun Landa). These characters are composed of a chorus of looks which in turn also look. We shall carefully reflect upon these looks and discuss how we see others, how others see us, and how we would like others to see us.

Of angels and demons: Virginia Woolfs homicidal legacy in Sylvia Plaths: The bell jar.

Esta dissertação é um estudo comparativo do legado vitoriano deixado para as escritoras do século XX, Virginia Woolf e Sylvia Plath. Primeiro discutem-se as agências controladoras do corpo feminino na era vitoriana e a formação de um ideal de feminilidade que chamamos de Anjo do Lar. Em seguida, discute-se como Virginia Woolf apreende essa imagem e a subverte, criando seu duplo, que chamamos de Demônio do Lar. Por fim, promovemos o diálogo entre Sylvia Plath e Virginia Woolf. Plath parece escrever aos moldes de Woolf, criando uma literatura de morte, feita para assassinar o Anjo do Lar. Usamos para tal estudo o conceito de écriture féminine, criado pelas francófonas Hélène Cixous, Luce Irigaray, e Julia Kristeva, entre outras, para traçar os paralelos entre um lugar para o feminino na escrita e a busca de uma tradição por Woolf. A abjeção de Kristeva, a dinâmica de poder entre alma e corpo de Foucault e o conceito de duplo de Otto Rank nos ajudarão, por fim, a entender como se dá a morte do Anjo na literatura, especificamente no romance A redoma de vidro (1963) de Sylvia Plath

Literatura boa é que eu gosto; ruim a que eu não gosto: fóruns de discussão literária da rede social ORKUT e a Teoria da Valoração uma análise crítica

Esta dissertação se insere nos estudos de Linguística e é vinculada à Análise Crítica do Discurso (FAIRCLOUGH, 1989, 2003) e à Linguística Sistêmico-Funcional (HALLIDAY, 1970, 1973), investigando o que é a qualidade literária para os internautas que interagem em fóruns de discussão do Orkut, à luz da Teoria da Valoração (MARTIN ; WHITE, 2005). De acordo com as categorias que abrangem o subsistema da Atitude da Teoria da Valoração (MARTIN ; WHITE, 2005), analisa-se como os leitores internautas se posicionam sobre a questão da qualidade literária e a ideologia que perpassa seus discursos. O conceito de ideologia adotado é o proposto por Thompson (2009), para quem o conceito deve ser compreendido a partir da noção de hegemonia e poder, ou seja, a ideologia necessariamente estabelece e sustenta relações de dominação, reproduzindo a ordem social que favorece indivíduos e grupos dominantes.O corpus desta pesquisa é composto de três amostras colhidas entre 15/07/2009 e 05/01/2010 correspondentes a uma discussão iniciada em comunidade relacionada a assuntos literários. A AMOSTRA 1 refere-se ao tópico Leitura difícil é sinal de qualidade?, da comunidade Literatura; a AMOSTRA 2, se refere ao tópico Qualidade do texto literário, da comunidade Discutindo... literatura e, por fim, a AMOSTRA 3 representa o tópico O que é um bom texto literário para você, também da comunidade Literatura. Cada discussão possui congruências e divergências quanto às representações sobre literatura e essas foram também analisadas. Não obstante, o que nos interessa é perceber como as ideologias perpassam seus discursos de acordo com os valores que os internautas atribuem a aspectos do texto literário. Foram escolhidos fóruns de discussão online do Orkut porque as interações em redes sociais constituem elemento novo das práticas sociais e, portanto, relevantes pontos de apoio para a investigação da criação de sentidos sobre o conceito de boa literatura. Investigar como a literatura, objeto de estudo acadêmico, é analisada em tais espaços cibernéticos é instigante, por não ser usual. Os resultados obtidos nessa pesquisa sugerem que o internauta reproduz o discurso acadêmico hegemônico acerca da qualidade literária ao debater a qualidade intrínseca do texto literário com a ressalva de manifestar seu contentamento ou descontentamento acerca de determinados textos literários e escritores, dado novo que revela uma característica deste espaço não institucional de discussão, em que os internautas se sentem à vontade para manifestar sua opinião

The all-seeing mirror: reflecting on vampires as allegories in socio-culturally sensitive literary works

Esta dissertação tem como objetivo analisar a figura do vampiro na literatura como poderosa ferramenta de leitura e interpretação dos medos e angústias que afligem um determinado espaço sociocultural. Ao olhar para a evolução do vampiro literário através dos séculos dezenove, vinte e vinte e um, notamos que cada uma de suas encarnações difere dramaticamente da anterior, e no que o vampiro é reinventado, ele engaja-se num diálogo pertinente e coerente com questões de seu próprio tempo, nunca perdendo assim sua relevância. Sua existência heterogênea, explicitada na dissertação primariamente através das obras Carmilla, de Sheridan LeFanu, Dracula, de Bram Stoker, Eu Sou a Lenda, de Richard Matheson, Entrevista com o Vampiro, de Anne Rice e Fledgling, de Octavia Butler, e as diferentes questões suscitadas em cada uma dessas obras como a sexualidade, a alteridade e o hibridismo nos levarão ao entendimento de que o vampiro pode potencialmente desempenhar importante função alegórica, tornando-se um espelho da própria humanidade através da qual se sustenta

Mother structures related to the hexagonal and cubic close packing in Cu24 clusters: solvent-influenced derivatives

Artículo científico CrystEngComm

CFD-DEM simulation of propagation of sound waves in fluid particles fluidised medium

In this work, speed of sound in 2 phase mixture has been explored using CFD-DEM (Computational Fluid Dynamcis - Discrete Element Modelling). In this method volume averaged Navier Stokes, continuity and energy equations are solved for fluid. Particles are simulated as individual entities; their behaviour is captured by Newton's laws of motion and classical contact mechanics. Particle-fluid interaction is captured using drag laws given in literature.The speed of sound in a medium depends on physical properties. It has been found experimentally that speed of sound drops significantly in 2 phase mixture of fluidised particles because of its increased density relative to gas while maintaining its compressibility. Due to the high rate of heat transfer within 2 phase medium as given in Roy et al. (1990), it has been assumed that the fluidised gas-particle medium is isothermal.The similar phenomenon has been tried to be captured using CFD-DEM numerical simulation. The disturbance is introduced and fundamental frequency in the medium is noted to measure the speed of sound for e.g. organ pipe. It has been found that speed of sound is in agreement with the relationship given in Roy et al. (1990). Their assumption that the system is isothermal also appears to be valid.

THE ORIGIN AND GENETIC DIFFERENTIATION OF NATIVE BREEDS OF PIGS IN SOUTHWEST CHINA - AN APPROACH FROM MITOCHONDRIAL-DNA POLYMORPHISM

Mitochondrial DNA (mtDNA) of six breeds of native domestic pigs from Yunnan province, southwest China, and two wild boars obtained from Sichuan, China, and Vietnam was analyzed using 20 restriction endonucleases that recognize six nucleotides. Restriction maps were made by double-digestion methods and polymorphic sites were located on the map. According to their mtDNA restriction types, all the breeds were classified into six groups. Genetic distances among groups were calculated to define their phylogenetic relationships. The relationship between the Sichuan wild boar and domestic pigs is close, while the Vietnamese wild boar is relatively far from them, so the domestic pigs in southwest China are likely to have originated from a wild pig which distributed in west China. We compare our results with previous reports in literature and discuss the relationship among Chinese pigs, Japanese pigs, and European pigs. The mtDNA cleavage pattern of the Mingguang pig digested by EcoRV was identical to that of Duroc; mutations at the EcoRI site, detected in the mtDNA of two Dahe pigs, are the same as in the Vietnamese wild boar, suggesting that mutational hot spots exist in the mtDNA of pigs.

Pt redistribution in N-MOS transistors during Ni salicide process

Atom probe tomography was used to study the redistribution of platinum during Ni(10 at.%Pt) silicidation of n-doped polycrystalline Si. These measurements were performed after the two annealing steps of standard salicide process both on a field-effect transistor and on unpatterned region submitted to the same process. Very similar results are obtained in unpatterned region and in transistor gate contact. The first phase to form is not the expected δ-Ni2Si but the non stoichiometric θ-Ni2Si. Pt redistribution is strongly influenced by this phase and the final distribution is different from what is reported in literature. © 2013 Elsevier B.V. All rights reserved.

W oczekiwaniu na Paruzję. Myśl eschatologiczna w prawosławnym piśmiennictwie słowiańskim do początku XVI wieku

Wydział Filologii Polskiej i Klasycznej: Instytut Filologii Słowiańskiej

'Deor and nytenu mid us': animals in the works of Ǽelfric

This dissertation examines the use of animals in Ælfric’s Lives of Saints and Catholic Homilies, outlining the transmission process of various sources of animal knowledge available to and used by Ælfric. The contexts in which Ælfric uses animals, which sources he uses in these passages and how he deviates from his source material (if at all) combine to illustrate how Anglo-Saxon authors could weave classical, biblical, early Christian and local knowledge together and incorporate the different traditions in their own work.

Representations of Catholicism in selected works by Colm Tóibín

The aim of this thesis is to provide an original and extensive study of Colm Tóibín as the “secular revisionist who acknowledges Catholicism as an enduring element of Irish society” (Ryan, Ireland and Scotland 251). Tóibín is uniquely placed to interpret many aspects of Ireland in the latter half of the twentieth century and I will argue that intertwined with his revisionism of Irish history is a reimagining of Ireland and Catholicism in fictive terms. An extensive amount of material from Tóibín’s time as a journalist and travel writer will feature in my research because it validates my argument concerning his prolonged engagement with Catholicism. Similarly, a broad range of Tóibín’s prose will be studied because it affords opportunities for an exploration of a literary Catholic oeuvre in his fiction. Therefore, I am emphasizing that a crucial linkage of Catholicism is identifiable throughout Tóibín’s diverse canon of work. However, I will argue that divergences of attitude and mode can be found in how Tóibín depicts Catholicism in his journalism and fiction. My argument identifies Tóibín’s recurrent journalistic questioning of the Church’s teaching and leadership but I classify a benignity towards Catholicism in his travel writing and fiction. Overall, Tóibín’s fiction merits significant status in this thesis because of the representations of Catholicism in the work of a writer who has been short-listed three times for The Booker Prize.