On the Algebraic Properties of Convex Bodies

AMS subject classification: 52A01, 13C99.

Windowed-Wigner Representations, Interferences and Operators

2010 Mathematics Subject Classification: 42B10, 47A07, 35S05.

Mathematical Modeling, Music Literacy and Their Transmission in Fine Arts Education

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2014

Moduli stacks of polarized K3 surfaces in mixed characteristic

2000 Mathematics Subject Classification: 14J28, 14D22.

Zoocoenological state of microhabitats and its seasonal dynamics in an aquatic macroinvertebrate assembly (Hydrobiological case studies on lake Balaton, No. 1.)

In the years 2002, 2003 and 2004 we collected samples of macroinvertebrates on a total of 36 occasions in Badacsony bay, in areas of open water (in the years 2003 and 2004 reed-grassy) as well as populated by reed (Phragmites australis) and cattail (Typha angustifolia). Samples were taken using a stiff hand net. The sampling site includes three microhabitats differentiated only by the aquatic plants inhabiting these areas. Our data was gathered from processing 208 individual samples. The quantity of macroinvertebrates is represented by biovolume value based on volume estimates. We can identify taxa in abundant numbers found in all water types and ooze; as well as groups associated with individual microhabitats with various aquatic plants. We can observe a notable difference between the years in the volume of invertebrate macrofauna caused by the drop of water level, and the multiplication of submerged macrophytes. There are smaller differences between the samples taken in reeds and cattail stands. In the second half of 2003 – which was a year of drought – the Najas marina appeared in open waters and allowed to support larger quantities of macroinvertebrates. In 2004 with higher water levels, the Potamogeton perfoliatus occurring in the same area has had an even more significant effect. This type of reed-grass may support the most macroinvertebrates during the summer. From the aspect of diversity relations we may suspect different characteristics. The reeds sampling site proved to be the richest, while the cattail microhabitat is close behind, open water (with submerged macrophytes) is the least diverse microhabitat.

Robust and high current cold electron source based on carbon nanotube field emitters and electron multiplier microchannel plate

The aim of this research was to demonstrate a high current and stable field emission (FE) source based on carbon nanotubes (CNTs) and electron multiplier microchannel plate (MCP) and design efficient field emitters. In recent years various CNT based FE devices have been demonstrated including field emission displays, x-ray source and many more. However to use CNTs as source in high powered microwave (HPM) devices higher and stable current in the range of few milli-amperes to amperes is required. To achieve such high current we developed a novel technique of introducing a MCP between CNT cathode and anode. MCP is an array of electron multipliers; it operates by avalanche multiplication of secondary electrons, which are generated when electrons strike channel walls of MCP. FE current from CNTs is enhanced due to avalanche multiplication of secondary electrons and in addition MCP also protects CNTs from irreversible damage during vacuum arcing. Conventional MCP is not suitable for this purpose due to the lower secondary emission properties of their materials. To achieve higher and stable currents we have designed and fabricated a unique ceramic MCP consisting of high SEY materials. The MCP was fabricated utilizing optimum design parameters, which include channel dimensions and material properties obtained from charged particle optics (CPO) simulation. Child Langmuir law, which gives the optimum current density from an electron source, was taken into account during the system design and experiments. Each MCP channel consisted of MgO coated CNTs which was chosen from various material systems due to its very high SEY. With MCP inserted between CNT cathode and anode stable and higher emission current was achieved. It was ∼25 times higher than without MCP. A brighter emission image was also evidenced due to enhanced emission current. The obtained results are a significant technological advance and this research holds promise for electron source in new generation lightweight, efficient and compact microwave devices for telecommunications in satellites or space applications. As part of this work novel emitters consisting of multistage geometry with improved FE properties were was also developed.

Large scale data processing using MapReduce

As massive data sets become increasingly available, people are facing the problem of how to effectively process and understand these data. Traditional sequential computing models are giving way to parallel and distributed computing models, such as MapReduce, both due to the large size of the data sets and their high dimensionality. This dissertation, as in the same direction of other researches that are based on MapReduce, tries to develop effective techniques and applications using MapReduce that can help people solve large-scale problems. Three different problems are tackled in the dissertation. The first one deals with processing terabytes of raster data in a spatial data management system. Aerial imagery files are broken into tiles to enable data parallel computation. The second and third problems deal with dimension reduction techniques that can be used to handle data sets of high dimensionality. Three variants of the nonnegative matrix factorization technique are scaled up to factorize matrices of dimensions in the order of millions in MapReduce based on different matrix multiplication implementations. Two algorithms, which compute CANDECOMP/PARAFAC and Tucker tensor decompositions respectively, are parallelized in MapReduce based on carefully partitioning the data and arranging the computation to maximize data locality and parallelism.

What Teaching Strategies Can I Employ to Improve Student Achievement in the Addition of Fractions with Different Denominators?

The purpose of this action research was to determine what instructional strategies could be used to improve student achievement in fraction addition. An eighth grade intensive math class practiced multiplication facts and hands-on applications of fractions concepts for 2 months. Pretests/posttests were used to measure improvement in computation and understanding.

Uso pedagógico do ábaco romano para ensino do algoritmo de multiplicação

This dissertation describes the construction of a alternative didactic incorporating a historical approach with the use of the Roman abacus for teaching multiplication to students of 2nd year of elementary school, through activities ranging from the representation of numbers to multiplying with the Roman abacus, for learning the multiplication algorithm. Qualitative research was used as a methodological approach since the research object fits the goals of this research mode. Concerning the procedures, the research can be seen as a teaching experiment developed within the school environment. The instruments used for data collection were: observation, logbook, questionnaires, interviews and document analysis. The processing and analysis of data collected through the activities were classified and quantified in tables for easy viewing, interpretation, understanding, analysis of data and then transposed to charts. The analysis confirmed the research objectives and contributed to indicate the pedagogical use of the Roman abacus for teaching multiplication algorithm through several activities. Thus, it can be considered that this educational product will have important contributions for the teaching of this mathematical content, in Basic Education, particularly regarding to the multiplication process

Analisi dinamica e a regime del convertitore Dickson-Charge-Pump

I circuti di tipo charge-pump trovano vasto impiego nell'elettronica moderna in quanto offrono un metodo semplice e totalmente integrato per elevare le basse tensioni di alimentazione tipiche dei circuiti digitali e trasformarle nelle alimentazioni adatte al pilotaggio di circuti di programmazione delle memorie, al pilotaggio dei mos di potenza, alla generazione della tensione di riferimento dei VCO nei PLL e in numerose altre applicazioni. Questa tesi studia il circuito charge-pump di Dickson nel suo comportamento sia a regime stazionario sia a regime dinamico. Al fine di aumentare l'efficienza è infatti importante attivare il circuito solo all'occorrenza, prestando attenzione al transitorio di accensione. Ogni aspetto teorico viene verificato per mezzo di simulazioni su LTSpice. Si è quindi potuto constatare che un dimensionamento corretto del numero di stadi ottimizza le prestazioni sia statiche che dinamiche sotto il vincolo di una massima occupazione d'area. L'impiego dei circuiti charge-pump si prevede possa essere sempre più diffuso in futuro, visto il trend verso un maggiore livello di integrazione dei sistemi elettronici e la tendenza ad utilizzare tensioni di alimentazione sempre più basse.

Propagação in vitro de barueiro (Dipteryx alata Vog.)

Savannah is the second biome in biodiversity in Brazil, presenting great vegetation endemism. Dipteryx alata Vog. (Fabaceae), native from this biome, is an economically important species, with an incipient market due to the lack of commercial plantations. This highlights the need to develop and provide the basis for the domestication of this species. Thus, this study determined the best conditions for in vitro establishment, multiplication, elongation and rooting of stem tips of D. alata plantlets grown vitro. Two culture media (MS and WPM) were evaluated in different salt concentrations (25, 50, 75 and 100%) for plantlet establishment. Four concentrations of 6– Benzylaminopurine (BAP) (0, 1, 2, 3 and 4 mg L-1) amended with 0.25 mg L-1 naphthalene-acetic acid (NAA) were studied for multiplication. Simultaneous elongation and rooting were studied with four concentrations of NAA (0, 1, 2, 3 and 4 mg L-1) together with 0.5 mg L-1 IBA. The variables analyzed were: shoot length (CPA), root length (CP), fresh matter (MF), dry matter (MSC), stem diameter (DC) and number of leaves (NF), 120 days after inoculation, with the exception of number of shoots, which was evaluated in the multiplication stage only. The medium MS at the original salt concentration (100%) was effective for the in vitro establishment of E. alata, resulting in greater root length (27.65 cm) and number of leaves per plantlet (26.0). The concentration of 4 mg L-1 BAP was the best one for multiplication; however, greater concentrations can boost multiplication. The effect of NAA and IBA were noticeable on in vitro elongation and rooting, with best CPA (3.14 cm) and CR (15.84 cm). Therefore, it is possible to state that the medium MS increases the success probability of in vitro establishment of stem tips of Dipteryx alata. NAA concentrations below 3 mg L-1 were favorable for in vitro development of the species, with essential characteristics for acclimatization success|.

A COMUNICAÇÃO CORPORATIVA E O DISCURSO DO CONSUMIDOR CONTEMPORÂNEO NOS SITES SOCIAIS DE RECLAMAÇÃO: DECEPÇÃO E COABITAÇÃO NA REDE – DESAFIOS E OPORTUNIDADES

A expansão das redes sociais virtuais, o aperfeiçoamento das técnicas de informação, a penetrabilidade do capitalismo de concorrência e o fragmentado sujeito pós-moderno constituem, ao lado da sociedade de consumo, os pilares desta tese. Nossa hipótese central é que as redes sociais da Internet ampliam os espaços de participação, compartilhamento, colaboração e manifestação das decepções do consumidor, mas não diminuem as descontinuidades, a incompreensão e o desrespeito oriundos das relações e práticas de consumo, podendo, muitas vezes, aceleraremasconflitualidades. A abertura para o diálogo, o incitamento à tomada de poder do sujeito e a multiplicação das trocas entre empresas e consumidores representam a oportunidade e o desafio de valorizarmos a concepção normativa da comunicação, admitindo as dificuldades da intercompreensão, a urgência da coabitação e a realidade da incomunicação. Recorremos à Análise de Discurso de tradição francesa (AD) como campo teórico-metodológico para analisar o discurso do consumidor inscrito na plataforma Reclame AQUI e construir uma crítica à comunicação corporativa contemporânea; a partir dos conceitos de cenografia, ethos e esquematização enunciativa, verificamos como a ideologia opera no interior das cenas daenunciação do consumo, constituindo uma ordem própria ao discurso do reclamante decepcionado. Esta análise ratificou as discussões teóricas que levamos a cabo, servindo de suporte para a problematização e o debate das sete cenografias que se evidenciaram no/pelo discurso do sujeito/consumidor: respeito/desrespeito, ameaça, promessa e frustração, mau atendimento e problema não resolvido, negociação, clientes novos x antigos e consumidor enganado; a imbricação do nosso corpuse o arcabouço teórico coloca na ribalta a necessidade de políticas de comunicação organizacional norteadas pelo senso prático de outridade, transcendendo as relações puramente mercadológicas; ao mesmo tempo, lança luz sobre apremência de mais solidariedade, compaixão, capacidade de escuta, compreensão e coabitação para as corporações que funcionam em uma sociedade guiada pelo frenesi da ética da concorrência e da consumolatria. Esta tese evidencia que a atuação dos consumidores e das empresas no mundo on-line representa mais que um elemento circunstancial de (in) tolerância mútua; desenha um destino comum que pode ter como rumo a outridade solidária do próximo, aceitando a experiência da alteridade, o risco do fracasso e a esperança da confiança e do respeito que a comunicação pode conceber.

Interactions between nematodes, potato and soil-borne micro-organisms and their effect on the management of potato cyst nematodes

Potato cyst nematodes (PCN) cause significant damage to the potato crop worldwide and growers experience economic losses related to yield loss and the cost of control measures. Experiments were set up to further elucidate the complex tritrophic PCNpotato-soil bacteria relationship. Bacterial strains isolated from the sugar beet rhizosphere were shown to be hatch active towards Globodera pallida and to be capable of successfully colonising the sugar beet rhizosphere when applied exogenously. A trap-crop system, based on these isolates, was proposed. Ridge and bulk soil taken from a commercial potato field were incubated with sterile potato root leachate (sPRL) and subsequent in vitro hatching assays showed that PCN hatch was influenced by microorganisms present in the ridge, but not in the bulk soil. Community level physiological profiling (CLPP) of ridge and bulk soil, using BIOLOG EcoplatesTM, demonstrated differences in bacterial functional diversity between the two soil types. An investigation of the inter-species competition between G. pallida and G. rostochiensis showed that G. pallida performed significantly better, in terms of multiplication rate, in competition with G. rostochiensis compared to its multiplication rate in single-species populations. Effectively removing the early hatch of G. rostochiensis in pot trials led to the removal of this competitive advantage of G. pallida suggesting that this advantage was due, at least in part, to morphological changes to the root caused by the early hatching of G. rostochiensis.

Electron beam lithography assisted high-resolution pattern generation

This thesis details the top-down fabrication of nanostructures on Si and Ge substrates by electron beam lithography (EBL). Various polymeric resist materials were used to create nanopatterns by EBL and Chapter 1 discusses the development characteristics of these resists. Chapter 3 describes the processing parameters, resolution and topographical and structural changes of a new EBL resist known as ‘SML’. A comparison between SML and the standard resists PMMA and ZEP520A was undertaken to determine the suitability of SML as an EBL resist. It was established that SML is capable of high-resolution patterning and showed good pattern transfer capabilities. Germanium is a desirable material for use in microelectronic applications due to a number of superior qualities over silicon. EBL patterning of Ge with high-resolution hydrogen silsesquioxane (HSQ) resist is however difficult due to the presence of native surface oxides. Thus, to combat this problem a new technique for passivating Ge surfaces prior to EBL processes is detailed in Chapter 4. The surface passivation was carried out using simple acids like citric acid and acetic acid. The acids were gentle on the surface and enabled the formation of high-resolution arrays of Ge nanowires using HSQ resist. Chapter 5 details the directed self-assembly (DSA) of block copolymers (BCPs) on EBL patterned Si and, for the very first time, Ge surfaces. DSA of BCPs on template substrates is a promising technology for high volume and cost effective nanofabrication. The BCP employed for this study was poly (styrene-b-ethylene oxide) and the substrates were pre-defined by HSQ templates produced by EBL. The DSA technique resulted into pattern rectification (ordering in BCP) and in pattern multiplication within smaller areas.

Interspecific competition between the potato cyst nematode species Globodera pallida and G. rostochiensis

The two potato cyst nematode species, Globodera pallida and G. rostochiensis, are among the most important pests of potato. PCN are difficult to manage, while the two species respond differently to the main control methods. An increase in the incidence of G. pallida had been reported and is generally attributed to greater effectiveness of control measures against G. rostochiensis. The status of PCN in Ireland was studied using PCR. The results demonstrated qPCR to be an efficient means of high-throughput PCN sampling, being able to accurately identify both species in mixed-species populations. Species discrimination using qPCR revealed an increase in the incidence of G. pallida in Ireland in the absence of G. pallida-selective control measures. The population dynamics of G. pallida and G. rostochiensis in Ireland were studied in mixed- and single-species competition assays in vivo. G. pallida proved to be the more successful species, with greater multiplication in mixed- than single-species populations, with G. rostochiensis showing the opposite. This effect was similarly observed in staggered inoculation trials and population proportion trials. It was hypothesised that the greater G. pallida competitiveness could be attributed to its later hatch. G. pallida exhibited a later peak in hatching activity and more prolonged hatch, relative to G. rostochiensis. G. rostochiensis hatch was significantly reduced in mixedspecies hatching assays. G. pallida hatch was significantly higher when hatch was induced in potato root leachates containing G. rostochiensis-specific compounds, indicating that G. pallida hatch is stimulated upon perception of G. rostochiensis–derived compounds. Rhizotron studies revealed that root damage, caused by feeding of the early-hatching G. rostochiensis, resulted in increased lateral root proliferation and significantly increased G. pallida multiplication. Split-root trials indicated a significant G. pallida-induced ISR effect. G. rostochiensis multiplication was significantly reduced in split-root rhizotrons when G. pallida colonised roots before or after G. rostochiensis infection.