Made available in DSpace on 2015-05-15T11:46:20Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 685495 bytes, checksum: 924951307927847259c1bd0253812600 (MD5) Previous issue date: 2014-02-19 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The main goal of this work is to furnish a proof of the well-known Rentschler s Theorem, which describes the structure of the locally nilpotent derivations on the polynomial ring in two indeterminates (over a field of characteristic zero), up to conjugation by tame automorphisms. As a central application of this result, we prove Jung s Theorem, concerning the generators of the group of automorphisms in two variables. Finally, some examples are discussed, illustrating connections to other important topics. / O principal objetivo deste trabalho é fornecer uma demonstração do bem-conhecido Teorema de Rentschler, que descreve a estrutura das derivações localmente nilpotentes sobre o anel de polinômios em duas variáveis (sobre um corpo de característica zero), a menos de conjugação por automorfismos tame . Como aplicação central deste resultado, provamos o Teorema de Jung, sobre os geradores do grupo de automorfismos em duas variáveis. Finalmente, alguns exemplos são discutidos, ilustrando conexões com outros tópicos importantes.

Submitted by Jaqueline Silva (jtas29@gmail.com) on 2014-10-23T20:04:48Z No. of bitstreams: 2 Dissertação - Hiuri Fellipe Santos dos Reis - 2013.pdf: 1601406 bytes, checksum: f2663891a9c0968329f2f913ada41d9e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Approved for entry into archive by Jaqueline Silva (jtas29@gmail.com) on 2014-10-23T20:05:03Z (GMT) No. of bitstreams: 2 Dissertação - Hiuri Fellipe Santos dos Reis - 2013.pdf: 1601406 bytes, checksum: f2663891a9c0968329f2f913ada41d9e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Made available in DSpace on 2014-10-23T20:05:03Z (GMT). No. of bitstreams: 2 Dissertação - Hiuri Fellipe Santos dos Reis - 2013.pdf: 1601406 bytes, checksum: f2663891a9c0968329f2f913ada41d9e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2013-03-22 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this work we present a study on locally conformally flat gradient steady Ricci solitons which is based on a Huai Dong-Cao and Qing Chen’s article, where they was classified the n-dimensional (n ≥ 3) complete noncompact locally conformally flat gradient steady Ricci solitons. In particular, we prove that a complete noncompact non-flat locally conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton. / Neste trabalho apresentamos um estudo dos sólitons de Ricci gradiente steady localmente conformemente flat, baseado no trabalho de Huai-Dong Cao e Qiang Chen, onde são classificados os sólitons de Ricci gradiente steady n-dimensionais (n ≥ 3), completos, não-compactos e localmente conformemente flat. Em particular provamos que um sóliton de Ricci gradiente steady completo, não-compacto, não-flat e localmente conformemente flat é, a menos de homotetia, o sóliton de Bryant.

Submitted by JÚLIO HEBER SILVA (julioheber@yahoo.com.br) on 2017-05-04T20:17:22Z No. of bitstreams: 2 Dissertação - Maria Francisca de Sousa Gomes - 2017.pdf: 1138083 bytes, checksum: ec11ffa7d803dc5e840f5b216f1aaba3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-05-05T13:03:10Z (GMT) No. of bitstreams: 2 Dissertação - Maria Francisca de Sousa Gomes - 2017.pdf: 1138083 bytes, checksum: ec11ffa7d803dc5e840f5b216f1aaba3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-05-05T13:03:10Z (GMT). No. of bitstreams: 2 Dissertação - Maria Francisca de Sousa Gomes - 2017.pdf: 1138083 bytes, checksum: ec11ffa7d803dc5e840f5b216f1aaba3 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-04-20 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This work is based on [1] and aims to show a result of rigidity for gradient almost Ricci soliton. We will prove that an almost Ricci soliton gradient with nonnegative scalar curvature, where ∇ f is a non-trivial conformal field, is either a Euclidean space R n or the sphere S n . Moreover, we have that, in the Spherical case, the potential function is given by first eigenfunction of the Laplacian. Finally, we will find necessary and sufficient conditions for that a compact locally conformally flat gradient almost Ricci soliton is isometric the sphere Sn. / Este trabalho está baseado em [1] e tem por objetivo apresentar um resultado de rigidez para gradiente quase Ricci soliton. Provaremos que um gradiente quase Ricci soliton com curvatura escalar não-negativa, em que ∇ f é um campo conforme não-trivial, é ou o espaço Euclidiano R n ou a Esfera S n . Além disso, temos que no caso Esférico, a função potencial é dada pela primeira auto função do Laplaciano. Por fim, encontraremos condições necessárias e suficientes para que um gradiente quase Ricci soliton compacto localmente conformemente flat seja isométrico a esfera Sn.

Determinar o valor prognóstico e preditivo do VEGF (vascular endothelial growth factor) e do HIF-1? (Hypoxia-inducible factor-1) em relação à sobrevida livre de doença (SLD) e sobrevida global (SG) em pacientes com carcinoma de mama localmente avançado (CMLA) tratadas primariamente pela quimioterapia neoadjuvante. MATERIAIS E METODOS: VEGF e HIF foram quantificados consecutivamente em plasma de 36 pacientes com CMLA pelo método de ELISA (enzyme labeling immunoassay absorbant) para o VEGF165 e o HIF-1?. O tratamento neoadjuvante foi realizado em todas as pacientes com docetaxel e epirrubicina. O tempo médio de seguimento foi de 56 meses. RESULTADOS: Uma análise univariada demonstrou que o HIF-1? está significantemente relacionado à SLD (P =.0238) e à SG (P = .0121) com as pacientes HER-2 positivas. Não houve diferença significante para a SLD ou SG no que diz respeito aos receptores de hormônio, comprometimento axilar ou grau tumoral. Os valores de VEGF foram maiores no grupo de pacientes RE+ do que no grupo RE negativo (P =.01). Inversamente os valores de HIF-1? foram menores no grupo RE+ comparados ao grupo RE - (P =.02). Pacientes com recorrência óssea apresentaram uma tendência a apresentarem valores de VEGF menores (media, 175.7 pg/ml) do que aquelas com recorrência visceral (441 pg/ml). Uma análise multivariada demonstrou o comprometimento axilar (P =.0004), receptores de estrógeno (ER) (P < .0001), e tamanho do tumor (P = .0085) como fatores independentes de SLD. O HIF-1? foi tido como um fator independente preditivo de SG (P =.0180). Não houve diferença estatisticamente significante entre os valores plasmáticos de HIF-1? ou VEGF nos períodos pré e pós quimioterapia. CONCLUSÕES: Os resultados sugerem que o nível plasmático do HIF-1? é preditivo de SLD e SG nas pacientes com CMLA apresentando uma sobreposição as pacientes HER-2 positivas. As dosagens de VEGF podem ser preditivas de resposta e prognóstico no tratamento neoadjuvante, mas são necessários novos estudos prospectivos comparados ao HIF-1? para conclusões mais consistentes. / To determine the predictive and prognostic value of vascular endothelial growth factor (VEGF) and Hypoxia-inducible factor-1 (HIF-1?) for relapse-free survival (RFS) and overall survival (OS) in locally advanced breast cancer (LABC) primarily submitted to neoadjuvant chemotherapy. MATERIALS AND METHODS: VEGF and HIF were quantitatively measured in plasma sample from 36 consecutive patients with LABC using an enzyme immunoassay for human VEGF165 and HIF-1?. Neoadjuvant treatment was given to all patients as docetaxel and epirrubicin. The follow-up median time was 56 months. RESULTS: Univariate analysis showed that HIF-1? is a significant predictor of RFS ( P = .0238) and OS (P = 0121) in HER-2 positive patients. No significant difference was seen in RFS or OS related to hormonal receptor, axillary status or tumoral grade. The VEGF level was higher in the group of patients who ER was positive than ER negative (P = .01). On the other hand, the HIF-1? level is higher in ER negative patients than ER positive ( P=.02). Patients with bone recurrences tended to have lower VEGF plasma level (median, 175.7 pg/ml) than patients with visceral metastasis (441 pg/ml). Multivariate analysis showed nodal status (P = .0004), estrogen receptor (ER) status (P < .0001), and tumor size (P = .0085) to be independent predictors of RFS. HIF-1? was found to be an independent predictor of OS (P = .0180). No statistically differences were observed related to pre and post chemotherapy period in HIF-1? or VEGF measurements. CONCLUSION: The results suggest that high level of plasma HIF-1? is associated to HER-2 over expression and they are major predictive factors of RFS and OS in LABC. VEGF content might also predict outcome after neoadjuvant treatment, however further studies in a prospective setting with HIF-1? homologous treatments are required.

Le sujet principal de ce mémoire est le comportement asymptotique de la géométrie et topologie des variétés localement symétriques Gamma\ X quand le volume tend vers l’infini. Notre premier résultat porte sur la convergence Benjamini-Schramm des 2 ou 3-variétés hyperboliques arithmétiques. Une suite d'espaces localement symétriques (Gamma_n\ X) converge Benjamini-Schramm vers l'espace symétrique X si pour chaque R>0 la limite de \Vol((\Gamma\X)_{<R})/Vol(\Gamma\bs X). On montre qu'il existe une constante réelle C=C_R satisfaisant la propriété suivante: pour chaque réseau arithmétique de congruence Gamma de \PGL(2,R) ou PGL(2,C) sans torsion on a Vol ((Gamma\ X)_{<R})<= C_R \ Vol (Gamma\ X)^0.986. Il n'y a qu'un nombre fini de réseaux arithmétiques de covolume borné par une constante donc ce résultat implique la convergence Benjamini-Schramm pour des variétés arithmétiques de congruence. On donne aussi une version de (\ref{AbsFr1}) un peu plus faible qui reste vraie pour des réseaux arithmétiques qui ne sont pas de congruence. Les majorations de volume de la partie $R$-mince sont déduites d'une version forte de la propriété de la multiplicité limite satisfaite par les réseaux arithmétiques de PGL(2,R) et PGL(2,C). En utilisant nos résultats on confirme la conjecture de Gelander pour des 3-variétés arithmétiques hyperboliques: pour chaque telle variété M on construit un complexe simplicial N homotope à M dont le nombre des simplexes est O(Vol(M)) et le degré des nœuds est uniformément borné par une constante absolue. Dans la deuxième partie on s'intéresse aux espaces localement symétriques Gamma\X où X est de rang supérieur ou égal à 2. Notre résultat principal affirme que la dimension du premier groupe d'homologie à coefficients dans F_2 (corps avec 2 éléments) est sous-linéaire en le volume. Ce résultat est à comparer avec des travaux de Calegari et Emerton sur la cohomologie mod-p dans les tours p-adiques des 3-variétés et les résultats d'Abert, Gelander et Nikolov sur le rang des sous-groupes d'un réseau de rang supérieur à angles droits. Le point fort de notre approche est qu'il n'y a pas besoin de travailler dans une seule classe de commensurabilité. La troisième partie est indépendante des deux premières. Elle porte sur une extension du théorème de Kesten. Le théorème de Kesten affirme que si Gamma est un groupe engendré par un ensemble fini symétrique S, N est un sous-groupe normal de Gamma alors N est moyennable si et seulement si les rayons spectraux du graphe de Cayley Cay(Gamma,S) et du graphe de Scheier Sch(Gamma/N,S) coïncident. En utilisant les techniques de Abert, Glasner et Virag on généralise le theorème de Kesten aux N-uniformément récurrents. / The main theme of this work is the study of geometry and topology of locally symmetric spaces Gamma\ X as ther volume Vol(\Gamma\ X) tends to infinity. Our first main result concerns the Benjamini-Schramm convergence for arithmetic hyperbolic 2 or 3-manifolds. A sequence of locally symmetric spaces (Gamma_n\ X) converges Benjamini-Schramm to X if and only if for every radius R>0 the limit Vol((Gamma\ X)_{<R}/Vol (Gamma\ X) as n goes to infinity is 0, where (\Gamma\X)_{<R} stands for the R-thin part of Gamma\ X. We prove that there exists a positive constant C=C_R with the following property: for every torsion free, uniform, congruence arithmetic lattice Gamma in PGL(2,R) or PGL(2,C) Vol ((Gamma\ X)_{<R})<= C Vol (Gamma\X))^0.986. There is only finitely many arithmetic lattices of covolume bounded by a constant so the result above implies the Benjamini-Schramm convergence for any sequence of congruence arithmetic hyperbolic 3-manifolds. We also prove a similar but slightly weaker inequality for non-congruence subgroups. Our results are deduced form a strong form of the limit multiplicity property that holds for arithmetic lattices in PGL(2,R) of PGL(2,C). As an application of our bounds we confirm Gelander's conjecture on the triangulations of arithmetic hyperbolic 3-manifolds: we show that every arithmetic hyperbolic 3-manifold M admits a triangulation with O(Vol(M)) simplices and degrees of vertices bounded uniformly by an absolute constant. Next, we move to the setting of higher rank locally symmetric spaces. Let M_n=Gamma_n\ X be a sequence of pairwise distinct locally symmetric spaces modeled after a higher rank symmetric space X. We show that the dimension of the first homology group with coefficients in F_2 is sublinear in volume. This can be compared with the results of Calegari and Emerton on mod-p homology growth in p-adic analytic towers of 3-manifolds as well as the results of Abert, Gelander and Nikolov on the rank gradient of right-angled lattices in higher rank Lie groups.The main strength of our theorem is that we do not need to assume that the manifolds in question are commensurable. Our third result is independent of the first two. Kesten theorem asserts that if Gamma is group generated by a finite symmetric set S and N is a normal subgroup of Gamma then N is amenable if and only if the spectral radii of the Cayley graphs Cay(Gamma, S) and the Schreier graph Sch(Gamma/N,S) are equal. Building on the work of Abert, Glasner and Virag we extend Kesten's theorem to uniformly recurrent subgroups.

Diploma thesis deals with project documentation for construction of the facility. Specifically, it is a hotel on the street Hlinky in Brno. Hotel capacity is 58 beds and 60 seated restaurant. The building will have one floor underground and five floors above ground. The building will have a bearing structure of reinforced concrete monolithic skeleton, accompanied by reinforcing monolithic wall. External walls will be created by filling the porous masonry blocks. Horizontal framework will be created locally supported monolithic reinforced concrete slabs. The roof of the hotel is flat. In 4th and 5th floor are created terraces.

Weight-sharing property in convolutional neural network (CNN) is useful in reducing number of parameters in the network and also introduces regularization effect which helps to gain high performance. Non-weight-shared convolutional neural networks also known as Locally connected networks (LCNs) has potential to learn more<br>in each layer due to large number of parameters without increasing number of inference computations as compared to CNNs. This work explores the idea of where Locally connected layers can be used to gain performance benefits in terms of accuracy and computations, what are the challenges in training the locally connected networks and what are the techniques that should be introduced in order to train this network and achieve high performance. Partially-local connected network (P-LCN) VGG-16 which is hybrid of convolutional layers and Locally connected layers achieves on average 2.0% accuracy gain over VGG-16 full convolutional network on CIFAR100 and 0.32% on CIFAR10. Modified implementation of batch normalization for Full LCNs (all layers in network are locally connected layers) gives improvement of 50% in training accuracy as compared to using CNN batch normalization layer in full LCN. Since L1, L2 and Dropout regularization does not help improve accuracy of LCNs, regularization methods which focuses on kernels rather than individual weight for regularizing the network were explored. Ladder networks with semi supervised learning achieves this goal. Training methodology of ladder networks was modified to achieve ∼2% accuracy improvement on Pavia-University hyper-spectral image dataset with 5 labels per class.

Städerna växer och samtidigt ökar efterfrågan på närodlade och ekologiska grödor. För att klara av att producera närodlat och mer hållbart skulle ett alternativ vara att odla i så kallade vertikala växthus. I Kiruna finns Sveriges största malmgruva som drivs av företaget LKAB vars olika processer leder till spillvärme. I Kiruna är klimatet kallt jämfört med större delen av Sverige och därför erfordras uppvärmning om odling ska kunna ske året runt i ett växthus. Examensarbetets uppgift är därför att undersöka hur man kan utnyttja spillvärme till ett vertikalt växthus i samband med en ny kontorsbyggnad på LKABs gruvområde. LKABs nya kontorsbyggnad har ett kvadratiskt avtryck på marken med ett hörn i sydlig riktning. Fördelningen mellan växthus och kontor kan förenklas genom att kvadraten delas på diagonalen där den södra halvan är växthus och den norra halvan kontor. Eftersom solförhållandena för odling är speciella i Kiruna har växthusets väggar en lutning som är anpassad efter solens låga infallsvinkel vilket gör att växthusets area minskar med varje våningsplan. Som yttermaterial till växthuset används glas och som stommaterial används stål. Ett hydroponiskt odlingssystem används där plantorna sätts direkt i en cirkulerande näringslösning och på så sätt kan systemet utformas med horisontella odlingsrör i flera vertikala odlingsplan. För uppvärmning av växthuset kommer spillvärme från LKABs verksamhet att utnyttjas, i examensarbetet undersöks två olika alternativ av spillvärmekällor och resultatet är att båda de alternativ som undersökts kan utnyttjas för uppvärmning av hela växthusdelens volym. / While the cities are expanding the demand for locally grown and organic crops is increasing. To be able to produce locally and more sustainable crops, one option could be to grow in a so-called vertical greenhouse. In Kiruna the largest ore mine in Sweden is operated by the company LKAB. Various processes in the mining industry lead to waste heat. In Kiruna, the climate is cold compared to most parts of Sweden, and therefore requires heating for the cultivation to be able to take place all year round in a greenhouse. The project’s task is to explore how to utilize waste heat from the mine to a vertical greenhouse in the context of a new office building at LKAB's mining area. LKAB's new office building has a square footprint on the ground with one of the corners in the south direction. The division between the greenhouse and the office can be simplified by the square divided diagonally where the southern half is the greenhouse and the northern half the office. Since the sunlight is limited in Kiruna the greenhouse walls has been design to adjust to the sun’s low position. The sun’s low position requires a sloped facade in the south direction. The greenhouse’s floor area decreases with each floor. As the external material for the greenhouse glass is used and as framing material steel is used. A hydroponically system is used where the seedlings are put directly in a circulating nutrient solution and in this way the system can be designed with horizontal pipes in several vertical cultivated floors. The greenhouse will be heated with waste heat from LKAB's industry, the project examines two alternatives of waste heat sources, and the result is that both of the alternatives studied can be used to heat the entire volume of the greenhouse.

Acoustic absorbing liners are efficient and commonly used measures to reduce sound levels in many fields of application. The sound reducingperformance of the liners is dependent on the acoustic state, defined by e.g. the flow and sound field interacting with the liner. To enable liner optimization the impact of these factors on the liner performance must be predictable. Studies of the impact of these factors were performed with existing experimental, analytical and numerical methods at low Mach number flows and material used in truck engine compartments. The study showed significant impact of both flow and sound field onthe liner performance. The size of the impact of the flow depends on which of the existing methods and models that was used, implying theneed of complementary methods. A new numerical method to model the boundary layer effect was for this reason developed in this work. The method was shown to predict the impact of flow correctly compared to the Pridmore-Brown solution and the method was computationally efficient. The sound reducing performance of a liner exposed to complex sound field and grazing flow can be predicted using existing methods together with the new proposed method. Extra care has to be taken when bulk reacting liners are considered since additional complications compared to locally reacting surfaces occur in presence the of grazing flow. / <p>QC 20130916</p>

Indiana University-Purdue University Indianapolis (IUPUI) / In 1970, Serge Novikov made a statement which is now called, "The Novikov Conjecture" and is considered to be one of the major open problems in topology. This statement was motivated by the endeavor to understand manifolds of arbitrary dimensions by relating the surgery map with the homology of the fundamental group of the manifold, which becomes diffi cult for manifolds of dimension greater than two. The Novikov Conjecture is interesting because it comes up in problems in many different branches of mathematics like algebra, analysis, K-theory, differential geometry, operator algebras and representation theory. Yu later proved the Novikov Conjecture holds for all closed manifolds with discrete fundamental groups that are coarsely embeddable into a Hilbert space. The class of groups that are uniformly embeddable into Hilbert Spaces includes groups of Property A which were introduced by Yu. In fact, Property A is generally a property of metric spaces and is stable under quasi-isometry. In this thesis, a new version of Yu's Property A in the case of locally compact groups is introduced. This new notion of Property A coincides with Yu's Property A in the case of discrete groups, but is different in the case of general locally compact groups. In particular, Gromov's locally compact hyperbolic groups is of Property A.