On reconstruction theorems in noncommutative Riemannian geometry

We present a novel account of the theory of commutative spectral triples and their two closest noncommutative generalisations, almost-commutative spectral triples and toric noncommutative manifolds, with a focus on reconstruction theorems, viz, abstract, functional-analytic characterisations of global-analytically defined classes of spectral triples. We begin by reinterpreting Connes's reconstruction theorem for commutative spectral triples as a complete noncommutative-geometric characterisation of Dirac-type operators on compact oriented Riemannian manifolds, and in the process clarify folklore concerning stability of properties of spectral triples under suitable perturbation of the Dirac operator. Next, we apply this reinterpretation of the commutative reconstruction theorem to obtain a reconstruction theorem for almost-commutative spectral triples. In particular, we propose a revised, manifestly global-analytic definition of almost-commutative spectral triple, and, as an application of this global-analytic perspective, obtain a general result relating the spectral action on the total space of a finite normal compact oriented Riemannian cover to that on the base space. Throughout, we discuss the relevant refinements of these definitions and results to the case of real commutative and almost-commutative spectral triples. Finally, we outline progess towards a reconstruction theorem for toric noncommutative manifolds.

Relative mirror symmetry and ramifications of a formula for Gromov-Witten invariants

For a toric Del Pezzo surface S, a new instance of mirror symmetry, said relative, is introduced and developed. On the A-model, this relative mirror symmetry conjecture concerns genus 0 relative Gromov-Witten of maximal tangency of S. These correspond, on the B-model, to relative periods of the mirror to S. Furthermore, for S not necessarily toric, two conjectures for BPS state counts are related. It is proven that the integrality of BPS state counts of the total space of the canonical bundle on S implies the integrality for the relative BPS state counts of S. Finally, a prediction of homological mirror symmetry for the open complement is explored. The B-model prediction is calculated in all cases and matches the known A-model computation for the projective plane.

The subvarieties of a field

Number systems which satisfy part but not all of the postulates for a field are called subvarieties of a field. The purpose of this paper is the determination of as great as possible a number of such varieties by suitable definitions of the class of elements and of the two operations involved.

Two postulate systems are considered. The first gives rise to 284 varieties, instances of all of which are given for infinite classes of elements, and of all except three for finite classes.

Of the 8192 combinations of postulates arising from the second system, not more than 1146 can be consistent. Instances are given of 1054 of these. As the postulates of this system are not independent, no conclusion has been reached regarding the remaining cases.

Microstructure control and iodine doping of bismuth telluride

On the materials scale, thermoelectric efficiency is defined by the dimensionless figure of merit zT. This value is made up of three material components in the form zT = Tα²/ρκ, where α is the Seebeck coefficient, ρ is the electrical resistivity, and κ is the total thermal conductivity. Therefore, in order to improve zT would require the reduction of κ and ρ while increasing α. However due to the inter-relation of the electrical and thermal properties of materials, typical routes to thermoelectric enhancement come in one of two forms. The first is to isolate the electronic properties and increase α without negatively affecting ρ. Techniques like electron filtering, quantum confinement, and density of states distortions have been proposed to enhance the Seebeck coefficient in thermoelectric materials. However, it has been difficult to prove the efficacy of these techniques. More recently efforts to manipulate the band degeneracy in semiconductors has been explored as a means to enhance α.

The other route to thermoelectric enhancement is through minimizing the thermal conductivity, κ. More specifically, thermal conductivity can be broken into two parts, an electronic and lattice term, κ_e and κ_l respectively. From a functional materials standpoint, the reduction in lattice thermal conductivity should have a minimal effect on the electronic properties. Most routes incorporate techniques that focus on the reduction of the lattice thermal conductivity. The components that make up κ_l (κ_l = 1/3Cνl) are the heat capacity (C), phonon group velocity (ν), and phonon mean free path (l). Since the difficulty is extreme in altering the heat capacity and group velocity, the phonon mean free path is most often the source of reduction.

Past routes to decreasing the phonon mean free path has been by alloying and grain size reduction. However, in these techniques the electron mobility is often negatively affected because in alloying any perturbation to the periodic potential can cause additional adverse carrier scattering. Grain size reduction has been another successful route to enhancing zT because of the significant difference in electron and phonon mean free paths. However, grain size reduction is erratic in anisotropic materials due to the orientation dependent transport properties. However, microstructure formation in both equilibrium and nonequilibrium processing routines can be used to effectively reduce the phonon mean free path as a route to enhance the figure of merit.

This work starts with a discussion of several different deliberate microstructure varieties. Control of the morphology and finally structure size and spacing is discussed at length. Since the material example used throughout this thesis is anisotropic a short primer on zone melting is presented as an effective route to growing homogeneous and oriented polycrystalline material. The resulting microstructure formation and control is presented specifically in the case of In₂Te₃-Bi₂Te₃ composites and the transport properties pertinent to thermoelectric materials is presented. Finally, the transport and discussion of iodine doped Bi₂Te₃ is presented as a re-evaluation of the literature data and what is known today.

Megacylops viridis Jurine, abyssal form in Lake Maggiore. [Translation of: Memorie dell'Istituto Italiano di Idrobiologia Dott.Marco de Marchi 17 57-79, 1964]

Megacyclops viridis Jurine, noticed in Lago Maggiore in 1912 by De Marchi from the littoral vegetation of Pallanza, is a normal member of the littoral plankton of the lake. The subgenus Megacyclops, created by Kiefer in his revision of the viridis-vernalis group, contains european and american species some of which are today considered as varieties of the species viridis. This paper examines morphology and of the distribution of the Italian viridis in Lake Maggiore.

Free algebras in Von Neumann-Bernays-Gӧdel set theory and positive elementary inductions in reasonable structures

This thesis consists of two independent chapters. The first chapter deals with universal algebra. It is shown, in von Neumann-Bernays-Gӧdel set theory, that free images of partial algebras exist in arbitrary varieties. It follows from this, as set-complete Boolean algebras form a variety, that there exist free set-complete Boolean algebras on any class of generators. This appears to contradict a well-known result of A. Hales and H. Gaifman, stating that there is no complete Boolean algebra on any infinite set of generators. However, it does not, as the algebras constructed in this chapter are allowed to be proper classes. The second chapter deals with positive elementary inductions. It is shown that, in any reasonable structure ᶆ, the inductive closure ordinal of ᶆ is admissible, by showing it is equal to an ordinal measuring the saturation of ᶆ. This is also used to show that non-recursively saturated models of the theories ACF, RCF, and DCF have inductive closure ordinals greater than _ω.

Numerical Studies of Topological Phases

The topological phases of matter have been a major part of condensed matter physics research since the discovery of the quantum Hall effect in the 1980s. Recently, much of this research has focused on the study of systems of free fermions, such as the integer quantum Hall effect, quantum spin Hall effect, and topological insulator. Though these free fermion systems can play host to a variety of interesting phenomena, the physics of interacting topological phases is even richer. Unfortunately, there is a shortage of theoretical tools that can be used to approach interacting problems. In this thesis I will discuss progress in using two different numerical techniques to study topological phases.

Recently much research in topological phases has focused on phases made up of bosons. Unlike fermions, free bosons form a condensate and so interactions are vital if the bosons are to realize a topological phase. Since these phases are difficult to study, much of our understanding comes from exactly solvable models, such as Kitaev's toric code, as well as Levin-Wen and Walker-Wang models. We may want to study systems for which such exactly solvable models are not available. In this thesis I present a series of models which are not solvable exactly, but which can be studied in sign-free Monte Carlo simulations. The models work by binding charges to point topological defects. They can be used to realize bosonic interacting versions of the quantum Hall effect in 2D and topological insulator in 3D. Effective field theories of "integer" (non-fractionalized) versions of these phases were available in the literature, but our models also allow for the construction of fractional phases. We can measure a number of properties of the bulk and surface of these phases.

Few interacting topological phases have been realized experimentally, but there is one very important exception: the fractional quantum Hall effect (FQHE). Though the fractional quantum Hall effect we discovered over 30 years ago, it can still produce novel phenomena. Of much recent interest is the existence of non-Abelian anyons in FQHE systems. Though it is possible to construct wave functions that realize such particles, whether these wavefunctions are the ground state is a difficult quantitative question that must be answered numerically. In this thesis I describe progress using a density-matrix renormalization group algorithm to study a bilayer system thought to host non-Abelian anyons. We find phase diagrams in terms of experimentally relevant parameters, and also find evidence for a non-Abelian phase known as the "interlayer Pfaffian".

Using Earth Deformation Caused by Surface Mass Loading to Constrain the Elastic Structure of the Crust and Mantle

Surface mass loads come in many different varieties, including the oceans, atmosphere, rivers, lakes, glaciers, ice caps, and snow fields. The loads migrate over Earth's surface on time scales that range from less than a day to many thousand years. The weights of the shifting loads exert normal forces on Earth's surface. Since the Earth is not perfectly rigid, the applied pressure deforms the shape of the solid Earth in a manner controlled by the material properties of Earth's interior. One of the most prominent types of surface mass loading, ocean tidal loading (OTL), comes from the periodic rise and fall in sea-surface height due to the gravitational influence of celestial objects, such as the moon and sun. Depending on geographic location, the surface displacements induced by OTL typically range from millimeters to several centimeters in amplitude, which may be inferred from Global Navigation and Satellite System (GNSS) measurements with sub-millimeter precision. Spatiotemporal characteristics of observed OTL-induced surface displacements may therefore be exploited to probe Earth structure. In this thesis, I present descriptions of contemporary observational and modeling techniques used to explore Earth's deformation response to OTL and other varieties of surface mass loading. With the aim to extract information about Earth's density and elastic structure from observations of the response to OTL, I investigate the sensitivity of OTL-induced surface displacements to perturbations in the material structure. As a case study, I compute and compare the observed and predicted OTL-induced surface displacements for a network of GNSS receivers across South America. The residuals in three distinct and dominant tidal bands are sub-millimeter in amplitude, indicating that modern ocean-tide and elastic-Earth models well predict the observed displacement response in that region. Nevertheless, the sub-millimeter residuals exhibit regional spatial coherency that cannot be explained entirely by random observational uncertainties and that suggests deficiencies in the forward-model assumptions. In particular, the discrepancies may reveal sensitivities to deviations from spherically symmetric, non-rotating, elastic, and isotropic (SNREI) Earth structure due to the presence of the South American craton.

Keep an "eye" on the text: The Use of Self-mention in the Academic Writing of Experts

One of the most controversial inquiries in academic writing is whether it is admissible to use first person pronouns in a scientific paper or not. Many professors discourage their students from using them, rather favoring a more passive tone, and thus causing novices to avoid inserting themselves into their texts in an expert-like manner. Abundant research, however, has recently attested that negotiation of identity is plausible in academic prose, and there is no need for a paper to be void of an authorial identity. Because in the course of the English Studies Degree we have received opposing prompts in the use of I, the aim of this dissertation is to throw some light upon this vexed issue. To this end, I compiled a corpus of 16 Research Articles (RAs) that comprises two sub-corpora, one featuring Linguistics RAs and the other one Literature RAs, and each, in turn, consists of articles written by American and British authors. I then searched for real occurrences of I, me, my, mine, we, us, our and ours, and studied their frequency, rhetorical functions and distribution along each paper. The results obtained certainly show that academic writing is no longer the faceless prose that it used to be, for I is highly used in both disciplines and varieties of English. Concerning functions, the most typically used roles were the use of I to take credit for the writer’s research process, and also those involving plural forms. With respect to the spatial disposition, all sections welcomed first person pronouns, but the Method and the Results/Discussion sections seem to stimulate their appearance. On the basis of these findings, I suggest that an L2 writing pedagogy that is mindful not only of the language proficiency, but also of the students’ own identity may have a beneficial effect on the composition of their texts.

α-异噁唑偶氮基-β-二酮类衍生物及其互变异构体的光谱

研究了5种新型的具有不同结构的aα-异噁唑偶氮基-β-二酮类衍生物的红外光谱和紫外光谱，讨论了它们的酮式-烯醇式以及偶氮式．腙式之间的互变异构化现象。结果表明，所有化合物无论以固体形式或在溶液中均以腙式二酮体和偶氮式烯醇体的混合形式存在。各化合物的紫外吸收谱均呈双峰状，峰值分别处于246～262nm和326～339nm之间，其中，高波长吸收峰的强度明显高于低波长吸收峰强度，说明了各化合物中偶氮式烯醇体形式均多于腙式二酮体形式，其原因是由于各化合物中偶氮式烯醇体的异构体较多，且易以分子内氢键形式形成六元环，

Petrogênese e geocronologia das intrusões alcalinas de Morro Redondo, Mendanha e Morro de São João: caracterização do magmatismo alcalino no Estado do Rio de Janeiro e implicações geodinâmicas

Os modelos para a formação de plútons alcalinos da Província Alcalina do Sudeste Brasileiro ou Alinhamento Poços de Caldas-Cabo Frio associam a gênese destas rochas a grandes reativações ou a passagem de uma pluma mantélica, registrada pelo traço de um hot spot. O objetivo desta tese é, apresentar novos dados e interpretações para contribuir com a melhor elucidação e discussão destes modelos. Os estudos incluem mapeamento, petrografia, litogeoquímica, geoquímica isotópica de Sr, Nd e Pb e datação 40Ar/39Ar. As intrusões selecionadas correspondem ao Morro Redondo, Mendanha e Morro de São João, no Rio de Janeiro, localizados em posições distintas no alinhamento Poços de Caldas-Cabo Frio. A intrusão alcalina do Morro Redondo é composta majoritariamente de nefelina sienitos e sienitos com nefelina, com rara ocorrência de rochas máficas e é caracterizada por uma suíte alcalina sódica insaturada em sílica, de caráter metaluminosa a peralcalina. Esta intrusão foi datada em aproximadamente 74 Ma (idade-platô 40Ar/39Ar). A intrusão alcalina do Mendanha é composta por diversos tipos de rochas sieníticas, além de brechas e estruturas subvulcânicas, como rochas piroclásticas e diques e caracteriza-se por ser uma suíte alcalina sódica saturada em sílica, de caráter metaluminosa, diferente do que ocorre no Marapicu, este subsaturado em sílica. Esta intrusão apresentou duas idades-platô 40Ar/39Ar distintas de magmatismo: 64 Ma para as rochas do Mendanha e 54 Ma em dique de lamprófiro, registrando magmatismo policíclico. O Morro do Marapicu foi datado em aproximadamente 80 Ma. Já a intrusão alcalina do Morro de São João possui uma ampla variedade de litotipos saturados a subsaturados em sílica, tais como sienitos, álcali-sienitos e monzossienitos (alguns portadores de pseudoleucita), com variedades melanocráticas, tais como malignitos e fergustios. Estas rochas definem suas distintas suítes alcalinas subsaturadas em sílica: Uma de composição sódica e outra potássica. Há também uma suíte alcalina saturada em sílica, definida por gabros alcalinos e shonkinitos. A petrogênese destas intrusões corresponde ao modelo de cristalização fracionada, com assimilação de rochas encaixantes (AFC) como indicado pela alta variabilidade de razões isotópicas de estrôncio. No Morro de São João é sugerido o modelo de mistura magmática. Estas intrusões foram geradas a partir de magmas mantélicos enriquecidos, possivelmente associados à antiga zona de subducção relacionada ao orógeno Ribeira. Em razão das novas idades obtidas, o modelo de hot spot proposto fica prejudicado, visto que o Marapicu é de idade mais antiga das intrusões analisadas, o que era esperado para o Morro Redondo. Alguns modelos projetam plumas mantélicas com aproximadamente 1000 km de diâmetro, o que poderia explicar o Mendanha ser contemporâneo ao Morro de São João. As assinaturas isotópicas obtidas para as intrusões não se associam à assinatura isotópica de Trindade e, caso o modelo de plumas mantélicas seja o correto, a pluma que teria maior semelhança de assinatura isotópica é a pluma de Tristão da Cunha.

Integrated resources management, integrated agriculture-aquaculture and the African farmer

Despite the expenditure of huge amounts of money and human effort, the Green Revolution has largely failed to benefit the vast majority of the rural poor in Africa: those smallholding farmers who sell little, if any, of what they grow and rely almost entirely upon natural soil fertility, rainfall and traditional broodstock and seed varieties. New approaches on food production and income generation in the rural areas must be found if this sector of agricultural community is to be assisted. Integrated resources management (IRM) in general, and integrated agriculture-aquaculture (IAA) in particular, may offer some solutions in cases where the classical methods of improving farm output have failed and/or been unsustainable.

A pertinência da produção dos gêneros orais nas aulas do 6 ao 9 ano do ensino fundamental

Esta dissertação se propõe a analisar e a dimensionar a relevância que as propostas de produção de texto oral recebem nos livros didáticos do 6 ao 9 ano do Ensino Fundamental selecionados e indicados pelo Ministério da Educação, em seu Guia do Programa Nacional do Livro Didático (PNLD), em contraste com as de produção escrita. Também analisa a adequação dos gêneros textuais trabalhados em tais propostas, tendo em vista a preparação do aluno para o exercício da cidadania e a participação no mercado de trabalho por meio do domínio da linguagem oral, conforme orientação dos Parâmetros Curriculares Nacionais (PCN). Na impossibilidade de se analisarem todas as coleções indicadas no referido documento, optou-se por selecionar as duas mais frequentemente adotadas nas escolas públicas em todo o território nacional. Cumpre ressaltar que os PCN, documento oficial que apresenta um conjunto de orientações teóricas e metodológicas para o ensino de Língua Portuguesa, colocam em evidência o estudo dos gêneros textuais como um dos eixos do trabalho com a língua materna e têm abrangência nacional naquilo que recomendam. O PNLD, por seu turno, garante a quase trinta milhões de alunos brasileiros do 6 ao 9 anos do Ensino Fundamental o acesso a livros didáticos de seis componentes curriculares, incluindo a Língua Portuguesa, daí a relevância da pesquisa. Os resultados da investigação apontam para uma menor relevância atribuída à oralidade nas coleções analisadas, apesar da consonância das obras com as orientações dos PCN, as quais recomendam que sejam priorizados os gêneros textuais da comunicação pública. O presente trabalho ainda sugere linhas de ação no ensino da língua materna, de modo a reforçar, no aluno, o uso de variedades linguísticas orais publicamente adequadas, visando à participação social mais ampla e legítima, às exigências do mercado de trabalho e à realização plena do indivíduo que pensa e tem necessidade prática de exprimir seus anseios

Management of broodstock and quality control of fish seed in Hungary

Common carp (Cyprinus carpio) breeding has a long tradition in Hungary. However, recent economic changes in Eastern Europe and new developments in aquaculture necessitated the need for ensuring quality of the brood stock used in hatcheries and the legal and institutional frameworks needed to implement the program. In addition to good research and development programs and gene banking, it became essential to establish an appropriate legal framework, organize, coordinate and control breeding activities, and provide financial support. It was a major breakthrough for carp breeding when C.carpio was recognized as one of the cultivated animals in the Animal Breeding Act in 1993. The Carp Breeding Section of the Hungarian Fish Producers Association plays an important role in carp breeding programs. Thirteen breeding farms of the Carp Breeding Section have 24 certified C.carpio varieties. In Hungary, about 80 % of the seed used as stocking for commercial production are from high quality certified breeders.

O espelho quebrado: perspectivas sobre o envelhecimento, o velho e a velhice

O fio condutor deste trabalho é a abordagem das representações do velho, da velhice e do envelhecimento, tendo como material de análise matérias da revista Veja, de 1968 a 2003. O estudo foi centrado nas imagens, sentidos e significados destas três categorias, destacandose a preponderância, permanência ou o desaparecimento de algumas representações observadas ao longo dos anos analisados. Sobressaiu das análises o crescimento da visibilidade do tema nas revistas, bem como a utilização do discurso de especialistas corroborando as visões prevalentes, conferindo legitimidade a padrões de saúde, de comportamento e de estética. Lidando com as imagens disponíveis nas publicações, margeando as representações-chave para um dado momento, foi possível observar outras tantas, as quais flexibilizaram uma primeira leitura do material que, a princípio, conferia ao mesmo menor variabilidade de representações do que aquela que, de fato, foi observada.