Applications of elliptic functions to solve differential equations

In questa tesi si mostrano alcune applicazioni degli integrali ellittici nella meccanica Hamiltoniana, allo scopo di risolvere i sistemi integrabili. Vengono descritte le funzioni ellittiche, in particolare la funzione ellittica di Weierstrass, ed elenchiamo i tipi di integrali ellittici costruendoli dalle funzioni di Weierstrass. Dopo aver considerato le basi della meccanica Hamiltoniana ed il teorema di Arnold Liouville, studiamo un esempio preso dal libro di Moser-Integrable Hamiltonian Systems and Spectral Theory, dove si prendono in considerazione i sistemi integrabili lungo la geodetica di un'ellissoide, e il sistema di Von Neumann. In particolare vediamo che nel caso n=2 abbiamo un integrale ellittico.

A Divided City in a Common Market: EU Citizenship and Everyday Instrumentalities on the Polish-German Border

Based on an ethnographic case study in the border cities of Frankfurt (Oder), Germany and Słubice, Poland, this article explores the construction and maintenance of ethnic difference within the transnational economic and social spaces created by the European Union's common market. Through an examination of three domains of cross-border citizenship practice - shopping and consumption, housing and work - this article argues that even as the European Union deploys policies aimed at creating de-territorialised and supranational forms of identity and citizenship, economic asymmetries and hierarchies of value embedded within these policies grant rights differentially in ways that continue to be linked to ethnicity and nationality.

Porous silicon technology for integrated microsystems

With the development of micro systems, there is an increasing demand for integrable porous materials. In addition to those conventional applications, such as filtration, wicking, and insulating, many new micro devices, including micro reactors, sensors, actuators, and optical components, can benefit from porous materials. Conventional porous materials, such as ceramics and polymers, however, cannot meet the challenges posed by micro systems, due to their incompatibility with standard micro-fabrication processes. In an effort to produce porous materials that can be used in micro systems, porous silicon (PS) generated by anodization of single crystalline silicon has been investigated. In this work, the PS formation process has been extensively studied and characterized as a function of substrate type, crystal orientation, doping concentration, current density and surfactant concentration and type. Anodization conditions have been optimized for producing very thick porous silicon layers with uniform pore size, and for obtaining ideal pore morphologies. Three different types of porous silicon materials: meso porous silicon, macro porous silicon with straight pores, and macro porous silicon with tortuous pores, have been successfully produced. Regular pore arrays with controllable pore size in the range of 2µm to 6µm have been demonstrated as well. Localized PS formation has been achieved by using oxide/nitride/polysilicon stack as masking materials, which can withstand anodization in hydrofluoric acid up to twenty hours. A special etching cell with electrolytic liquid backside contact along with two process flows has been developed to enable the fabrication of thick macro porous silicon membranes with though wafer pores. For device assembly, Si-Au and In-Au bonding technologies have been developed. Very low bonding temperature (~200 degrees C) and thick/soft bonding layers (~6µm) have been achieved by In-Au bondi ng technology, which is able to compensate the potentially rough surface on the porous silicon sample without introducing significant thermal stress. The application of the porous silicon material in micro systems has been demonstrated in a micro gas chromatograph system by two indispensable components: an integrated vapor source and an inlet filter, wherein porous silicon performs the basic functions of porous media: wicking and filtration. By utilizing a macro porous silicon wick, the calibration vapor source was able to produce a uniform and repeatable vapor generation for n-decane with less than a 0.1% variation in 9 hours, and less than a 0.5% variation in rate over 7 days. With engineered porous silicon membranes the inlet filter was able to show a depth filtration with nearly 100% collection efficiency for particles larger than 0.3µm in diameter, a low pressure-drop of 523Pa at 20sccm flow rate, and a filter capacity of 500µg/cm2.

Large deviations for heavy-tailed random elements in convex cones

We prove large deviation results for sums of heavy-tailed random elements in rather general convex cones being semigroups equipped with a rescaling operation by positive real numbers. In difference to previous results for the cone of convex sets, our technique does not use the embedding of cones in linear spaces. Examples include the cone of convex sets with the Minkowski addition, positive half-line with maximum operation and the family of square integrable functions with arithmetic addition and argument rescaling.

Statusinkonsistenz im Lebensverlauf

Sozialbiographische Überlegungen und die Lebensverlaufsperspektive tragen zu einem Fortschritt in der Inkonsistenzforschung bei. Wichtige theoretische und methodische Voraussetzungen sind dabei die Berücksichtigung der Dynamik von Statusinkonsistenz und die Kontrolle der Zeitabhängigkeit von Statuslagen. Dadurch wird es möglich, Entstehen, Verschwinden, Dauer und Folgen von Statusinkonsistenz detailliert zu untersuchen. Die empirischen Befunde des Artikels zeigen, daß die Verortung von Individuen in einer Statushierarchie im Lebenslauf zunehmend mit vergleichbaren Plazierungen in anderen Statusdimensionen übereinstimmt. Dies verstärkt sich in der Abfolge von Geburtskohorten; ferner finden sich eher Frauen als Männer in ungünstigen statusinkonsistenten Lagen. Schließlich hat Statusinkonsistenz deutliche Auswirkungen auf berufliche Mobilität von Männern. Eine ungünstige Statuslage 'erzwingt' Mobilität, wenn, gemessen an der Bildung, unerwartete Statusverluste ausgeglichen werden sollen. Männer mit unerwarteten Statusgewinnen versuchen dagegen, ihre vorteilhafte Statuslage abzusichern, und sind eher immobil.

Hybrid bodies in cyborg sports? The case of Oscar Pistorius

The capabilities of postmodern biotechnology inevitably lead to questioning if it is morally acceptable to use all possibilities offered by technology. In sport, this very complex issue is dealt with by drawing clear boundaries between naturalness and artificiality. Currently, new biotechnology is constantly being produced and with this, boundaries between naturalness and artificiality, between normal and abnormal, human and hybrid are constantly shifting . “Human enhancement” is a fascinating prism that reflects contemporary questions of participation, justice, equality and the autonomy of the subject in all social fields. The area of elite sports is particularly affected by “human enhancement”, according to the principle of exceeding what has come before, of aiming higher, faster and further. This paper analyses the postulated “naturalness” in the regulative and normalising function in the area of elite sports, in connection with Foucault’s theory of governmentality. The example of the South African sprinter Oscar Pistorius appears to be particularly suited to illustrate current definition difficulties in the area of disabled and non-disabled people in differentiated competitive sports. His is a vivid example of a multifaceted body-sociological analysis of current sport culture and the construction of reality or naturalness in the framework of the discourse of drafting and negotiating the accreditation for sprint competitions of non-disabled athletes, most recently in the London Olympics 2012. Using the case study of Oscar Pistorius, the negotiating processes in relation to the argumentation logic, dynamics and resistance in shifting distinctions are presented in detail using the fundamental documents of the IOC, IPC, CAS and IAAF. Represented through the inclusion and exclusion processes are hierarchies of the body that are (re)consolidated and transformed. The central question emerges as to how the worth of equal opportunity and fairness in regard to “naturalness” can be reconsolidated or transformed.

The diffusion of /l/ -vocalization in Swiss German

Several western Swiss German dialects roughly grouped around the nation's capital Bern show /l/ > [u] vocalization in various contexts. The spatial boundaries of /l/-vocalization in Swiss German are suspected to have been expanding since being described in the Linguistic Atlas of German-Speaking Switzerland in the middle of the 20th century. The present study assesses the overall expansion of /l/-vocalization by means of a rapid anonymous survey in 20 urban regional centers situated just beyond the traditional boundaries of /l/-vocalization highlighted by the Atlas. Results show that the expansion of /l/-vocalization mainly progresses in southeasterly, southerly, and westerly directions, but with much less success to the north and northwest, where the equally influential dialectal areas of Basel and Zürich seem to exert opposing influences. Further analysis of the data indicates that somewhat differing constraint hierarchies are at work in the different places to which vocalization has diffused.

Current State of Reporting Pain Outcomes in Cochrane Reviews of Chronic Musculoskeletal Pain Conditions and Considerations for an OMERACT Research Agenda.

OBJECTIVE To assess the current state of reporting of pain outcomes in Cochrane reviews on chronic musculoskeletal painful conditions and to elicit opinions of patients, healthcare practitioners, and methodologists on presenting pain outcomes to patients, clinicians, and policymakers. METHODS We identified all reviews in the Cochrane Library of chronic musculoskeletal pain conditions from Cochrane review groups (Back, Musculoskeletal, and Pain, Palliative, and Supportive Care) that contained a summary of findings (SoF) table. We extracted data on reported pain domains and instruments and conducted a survey and interviews on considerations for SoF tables (e.g., pain domains, presentation of results). RESULTS Fifty-seven SoF tables in 133 Cochrane reviews were eligible. SoF tables reported pain in 56/57, with all presenting results for pain intensity (20 different outcome instruments), pain interference in 8 SoF tables (5 different outcome instruments), and pain frequency in 1 multiple domain instrument. Other domains like pain quality or pain affect were not reported. From the survey and interviews [response rate 80% (36/45)], we derived 4 themes for a future research agenda: pain domains, considerations for assessing truth, discrimination, and feasibility; clinically important thresholds for responder analyses and presenting results; and establishing hierarchies of outcome instruments. CONCLUSION There is a lack of standardization in the domains of pain selected and the manner that pain outcomes are reported in SoF tables, hampering efforts to synthesize evidence. Future research should focus on the themes identified, building partnerships to achieve consensus and develop guidance on best practices for reporting pain outcomes.

Yang-Baxter deformations of Minkowski spacetime

We study Yang-Baxter deformations of 4D Minkowski spacetime. The Yang-Baxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation. It has been extended to coset curved spaces and models based on the usual classical Yang-Baxter equation. On the other hand, for flat space, there is the obvious problem that the standard bilinear form degenerates if we employ the familiar coset Poincaré group/Lorentz group. Instead we consider a slice of AdS5 by embedding the 4D Poincaré group into the 4D conformal group SO(2, 4) . With this procedure we obtain metrics and B-fields as Yang-Baxter deformations which correspond to well-known configurations such as T-duals of Melvin backgrounds, Hashimoto-Sethi and Spradlin-Takayanagi-Volovich backgrounds, the T-dual of Grant space, pp-waves, and T-duals of dS4 and AdS4. Finally we consider a deformation with a classical r-matrix of Drinfeld-Jimbo type and explicitly derive the associated metric and B-field which we conjecture to correspond to a new integrable system.

Inversion, Obviation, and Animacy in Native Languages of the Americas: Elements for a Cross-linguistic Survey

Native languages of the Americas whose predicate and clause structure reflect nominal hierarchies show an interesting range of structural diversity not only with respect to morphological makeup of their predicates and arguments but also with respect to the factors governing obviation status. The present article maps part of such diversity. The sample surveyed here includes languages with some sort of nonlocal (third person acting on third person) direction-marking system.

Species interactions and random dispersal rather than habitat filtering drive community assembly during early plant succession

Theory on plant succession predicts a temporal increase in the complexity of spatial community structure and of competitive interactions: initially random occurrences of early colonising species shift towards spatially and competitively structured plant associations in later successional stages. Here we use long-term data on early plant succession in a German post mining area to disentangle the importance of random colonisation, habitat filtering, and competition on the temporal and spatial development of plant community structure. We used species co-occurrence analysis and a recently developed method for assessing competitive strength and hierarchies (transitive versus intransitive competitive orders) in multispecies communities. We found that species turnover decreased through time within interaction neighbourhoods, but increased through time outside interaction neighbourhoods. Successional change did not lead to modular community structure. After accounting for species richness effects, the strength of competitive interactions and the proportion of transitive competitive hierarchies increased through time. Although effects of habitat filtering were weak, random colonization and subsequent competitive interactions had strong effects on community structure. Because competitive strength and transitivity were poorly correlated with soil characteristics, there was little evidence for context dependent competitive strength associated with intransitive competitive hierarchies.

A Mathematical Model for Simplifying Representations of Objects in a Geographic Information System

The study of operations on representations of objects is well documented in the realm of spatial engineering. However, the mathematical structure and formal proof of these operational phenomena are not thoroughly explored. Other works have often focused on query-based models that seek to order classes and instances of objects in the form of semantic hierarchies or graphs. In some models, nodes of graphs represent objects and are connected by edges that represent different types of coarsening operators. This work, however, studies how the coarsening operator "simplification" can manipulate partitions of finite sets, independent from objects and their attributes. Partitions that are "simplified first have a collection of elements filtered (removed), and then the remaining partition is amalgamated (some sub-collections are unified). Simplification has many interesting mathematical properties. A finite composition of simplifications can also be accomplished with some single simplification. Also, if one partition is a simplification of the other, the simplified partition is defined to be less than the other partition according to the simp relation. This relation is shown to be a partial-order relation based on simplification. Collections of partitions can not only be proven to have a partial- order structure, but also have a lattice structure and are complete. In regard to a geographic information system (GIs), partitions related to subsets of attribute domains for objects are called views. Objects belong to different views based whether or not their attribute values lie in the underlying view domain. Given a particular view, objects with their attribute n-tuple codings contained in the view are part of the actualization set on views, and objects are labeled according to the particular subset of the view in which their coding lies. Though the scope of the work does not mainly focus on queries related directly to geographic objects, it provides verification for the existence of particular views in a system with this underlying structure. Given a finite attribute domain, one can say with mathematical certainty that different views of objects are partially ordered by simplification, and every collection of views has a greatest lower bound and least upper bound, which provides the validity for exploring queries in this regard.

Molecular and genetic analysis of Myxococcus xanthus early *development

To identify more mutations that can affect the early development of Myxococcus xanthus, the synthetic transposon TnT41 was designed and constructed. By virtue of its special features, it can greatly facilitate the processes of mutation screening/selection, mapping, cloning and DNA sequencing. In addition, it allows for the systematic discovery of genes in regulatory hierarchies using their target promoters. In this study, the minimal regulatory region of the early developmentally regulated gene 4521 was used as a reporter in the TnT41 mutagenesis. Both positive (P) mutations and negative (N) mutations were isolated based on their effects on 4521 expression.^ Four of these mutations, i.e. N1, N2, P52 and P54 were analyzed in detail. Mutations N1 and N2 are insertion mutations in a gene designated sasB. The sasB gene is also identified in this study by genetic and molecular analysis of five UV-generated 4521 suppressor mutations. The sasB gene encodes a protein without meaningful homology in the databases. The sasB gene negatively regulates 4521 expression possibly through the SasS-SasR two component system. A wild-type sasB gene is required for normal M. xanthus fruiting body formation and sporulation.^ Cloning and sequencing analysis of the P52 mutation led to the identification of an operon that encodes the M. xanthus high-affinity branched-chain amino acid transporter system. This liv operon consists of five genes designated livK, livH, livM, livC, and livF, respectively. The Liv proteins are highly similar to their counterparts from other bacteria in both amino acid sequences, functional motifs and predicted secondary structures. This system is required for development since liv null mutations cause abnormality in fruiting body formation and a 100-fold decrease in sporulation efficiency.^ Mutation P54 is a TnT41 insertion in the sscM gene of the ssc chemotaxis system, which has been independently identified by Dr. Shi's lab. The sscM gene encodes a MCP (methyl-accepting chemotaxis protein) homologue. The SscM protein is predicted to contain two transmembrane domains, a signaling domain and at least one putative methylation site. Null mutations of this gene abolish the aggregation of starving cells at a very early stage, though the sporulation levels of the mutant can reach 10% that of wild-type cells. ^

Diferenciación social campesina y señorío episcopal. Zamora, siglos XI-XIII

El presente trabajo indaga acerca de los procesos de diferenciación social campesina temprana en la Zamora medieval. Dicho proceso adquiere características particulares de acuerdo al marco señorial en que se inserten las comunidades. La documentación zamorana ha permitido agrupar los casos empíricos en dos tipos ideales, aquellos que presentan desarrollo de caballería y los que maduran al interior de cotos de abadengo. En cuanto al primer tipo, comprobamos que la caballería que surge de las propias clases campesinas tiende a transformarse en un sector privilegiado en la comunidad. Tal proceso de diferenciación se presenta con importantes disparidades evolutivas en las distintas comunidades. Las comunidades de este tipo que ingresan a la órbita episcopal evidencian conflictos violentos relacionados con la imposición de nuevos derechos señoriales y nuevas pautas de reproducción señorial. En cambio, en las aldeas desarrolladas desde su inicio al interior de cotos monásticos la diferenciación por el ejercicio de la función militar se encuentra negada. La única posibilidad estructural de diferenciación se relaciona con el ejercicio de funciones en representación del señor. El surgimiento de tales sectores evoluciona, entonces, de manera coherente con la construcción del poder señorial a escala local. En las comunidades con presencia de caballería será necesario desmontar las jerarquías preexistentes, proceso que determina que únicamente bien entrado el siglo XIII puedan comenzar a esbozarse nuevas elites locales y condiciones de poblamiento afines a la reproducción del señorío eclesiástico.