471 resultados para varietà topologica proiezione rivestimento Escher


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Mode of access: Internet.

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Pritzel (2nd ed.)

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La trattazione che segue fornisce un'introduzione agli operatori lineari. Il primo capitolo contiene dei cenni sugli spazi di Hilbert di dimensione infinita, in modo da poter lavorare con operatori definiti non solo su spazi finito dimensionali, che sono generalmente rappresentati da matrici. Nel secondo capitolo si prosegue con lo studio degli operatori lineari limitati, proponendo come esempio l'operatore di proiezione. Viene definito anche l'importante concetto di operatore aggiunto, generalizzato nel capitolo successivo. Il capitolo finale tratta gli operatori non limitati, che possono essere analizzati con più facilità se soddisfano una proprietà topologica, che è la chiusura. Si affronta anche il concetto di spettro di un operatore, soprattutto nel caso di un operatore autoaggiunto, concludendo con l' esempio di un importante operatore, cioè l'operatore differenziale, fondamentale in meccanica quantistica.

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Nella tesi si studiano le varietà toriche e si mostrano metodi per costruirle. Si mostra una corrispondenza tra esse e i coni convessi di un reticolo (o, piu' generalmente i "fan" di coni convessi per le varietà toriche proiettive). Si analizzano aspetti e caratteristiche di queste varietà e si studiano le singolarità di esse, se ne fa una classificazione in relazione agli aspetti geometrici degli oggetti combinatori ad esse associati.

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Nello studio di sistemi dinamici si cerca una trasformazione nello spazio delle fasi, detta trasformazione canonica, che lasci invariato il sistema di Hamilton e che porti a una funzione hamiltoniana che non dipenda più dai parametri lagrangiani, ma solo dai momenti. Si arriva quindi all'equazione di Hamilton-Jacobi che è una particolare equazione differenziale alle derivate parziali con incognita una funzione phi a valori scalari. Nei casi in cui ci siano n parametri lagrangiani si definisce il concetto di varietà lagrangiana come una varietà su cui si annulla la forma simplettica canonica e sotto l'ipotesi che esista una proiezione su R^n i punti di questa varietà si scrivono come (x,grad(phi(x)) e soddisfano l'equazione di Hamilton-Jacobi. Infine si illustra come una funzione phi trovata in questo modo permetta di approssimare l'equazione di Schroedinger.

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A comprehensive study was undertaken involving chemical (inorganic and organic) and bioanalytical (a suite of 14 in vitro bioassays) assessments of coal seam gas (coal bed methane) associated water (CSGW) in Queensland, Australia. CSGW is a by-product of the gas extraction process and is generally considered as water of poor quality. This was done to better understand what is known about the potential biological and environmental effects associated with the organic constituents of CSGW in Australia. In Queensland, large amounts of associated water must be withdrawn from coal seams to allow extraction of the gas. CSGW is disposed of via release to surface water, reinjected to groundwater or reused for irrigation of crops or pasture, supplied for power station cooling and or reinjected specifically to augment drinking water aquifers. Groundwater samples were collected from private wells tapping into the Walloon Coal Measures, the same coal aquifer exploited for coal seam gas production in the Surat Basin, Australia. The inorganic characteristics of these water samples were almost identical to the CSGW entering the nearby gas company operated Talinga-Condabri Water Treatment Facility. The water is brackish with a pH of 8 to 9, high sodium, bicarbonate and chloride concentrations but low calcium, magnesium and negligible sulphate concentrations. Only low levels of polyaromatic hydrocarbons (PAHs) were detected in the water samples, and neither phenols nor volatile organic compounds were found. Results from the bioassays showed no genotoxicity, protein damage, or activation of hormone receptors (with the exception of the estrogen receptor). However, five of the 14 bioassays gave positive responses: an arylhydrocarbon-receptor gene activation assay (AhR-CAFLUX), estrogenic endocrine activity (ERα-CALUX), oxidative stress response (AREc32), interference with cytokine production (THP1-CPA) and non-specific toxicity (Microtox). The observed effects were benchmarked against known water sources and were similar to secondary treated wastewater effluent, stormwater and surface water. As mixture toxicity modelling demonstrated, the detected PAHs explained less than 5% of the observed biological effects.

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Computer graphic analyses on a broad spectrum of adenosine receptor ligands has shown that both the A1 and A2 adenosine receptors have three binding sites. The spatial relationship of these three binding sites has been defined. Adenosine orientation at A1 and A2 is different.

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Using benzene as a candidate air toxicant and A549 cells as an in vitro cell model, we have developed and validated a hanging drop (HD) air exposure system that mimics an air liquid interface exposure to the lung for periods of 1 h to over 20 days. Dose response curves were highly reproducible for 2D cultures but more variable for 3D cultures. By comparing the HD exposure method with other classically used air exposure systems, we found that the HD exposure method is more sensitive, more reliable and cheaper to run than medium diffusion methods and the CULTEX (R) system. The concentration causing 50% of reduction of cell viability (EC50) for benzene, toluene, p-xylene, m-xylene and o-xylene to A549 cells for 1 h exposure in the HD system were similar to previous in vitro static air exposure. Not only cell viability could be assessed but also sub lethal biological endpoints such as DNA damage and interleukin expressions. An advantage of the HD exposure system is that bioavailability and cell concentrations can be derived from published physicochemical properties using a four compartment mass balance model. The modelled cellular effect concentrations EC50(cell) for 1 h exposure were very similar for benzene, toluene and three xylenes and ranged from 5 to 15 mmol/kg(dry weight) which corresponds to the intracellular concentration of narcotic chemicals in many aquatic species, confirming the high sensitivity of this exposure method. (C) 2013 Elsevier B.V. All rights reserved.

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A recently developed hanging drop air exposure system for toxicity studies of volatile chemicals was applied to evaluate the cell viability of lung carcinoma A549 cells after 1 h and 24 h of exposure to benzene, toluene, ethylbenzene and xylenes (BTEX) as individual compounds and mixtures of 4 or 6 components. The cellular chemical concentrations causing 50% reduction of cell viability (EC50) were calculated use a mass balance model and came to 17, 12, 11, 9, 4 and 4 mmol/kg cell dry weight for benzene, toluene, ethylbenzene, m-xylene, o-xylene and p-xylene respectively after 1 h of exposure. The EC50 decreased by a factor of four after 24 h of exposure. All mixture effects were best described by the mixture toxicity model of concentration addition, which is valid for chemicals with the same mode of action. Good agreement with the model predictions were found for benzene, toluene, ethylbenzene and m-xylene at four different representative fixed concentration ratios after 1 h of exposure but lower agreement to mixture prediction was obtained after 24 h of exposure. A recreated car exhaust mixture, which involved the contribution of the more toxic p-xylene and o-xylene, yielded an acceptable but lower quality prediction as well.

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Let G = (V,E) be a simple, finite, undirected graph. For S ⊆ V, let $\delta(S,G) = \{ (u,v) \in E : u \in S \mbox { and } v \in V-S \}$ and $\phi(S,G) = \{ v \in V -S: \exists u \in S$ , such that (u,v) ∈ E} be the edge and vertex boundary of S, respectively. Given an integer i, 1 ≤ i ≤ ∣ V ∣, the edge and vertex isoperimetric value at i is defined as b e (i,G) =  min S ⊆ V; |S| = i |δ(S,G)| and b v (i,G) =  min S ⊆ V; |S| = i |φ(S,G)|, respectively. The edge (vertex) isoperimetric problem is to determine the value of b e (i, G) (b v (i, G)) for each i, 1 ≤ i ≤ |V|. If we have the further restriction that the set S should induce a connected subgraph of G, then the corresponding variation of the isoperimetric problem is known as the connected isoperimetric problem. The connected edge (vertex) isoperimetric values are defined in a corresponding way. It turns out that the connected edge isoperimetric and the connected vertex isoperimetric values are equal at each i, 1 ≤ i ≤ |V|, if G is a tree. Therefore we use the notation b c (i, T) to denote the connected edge (vertex) isoperimetric value of T at i. Hofstadter had introduced the interesting concept of meta-fibonacci sequences in his famous book “Gödel, Escher, Bach. An Eternal Golden Braid”. The sequence he introduced is known as the Hofstadter sequences and most of the problems he raised regarding this sequence is still open. Since then mathematicians studied many other closely related meta-fibonacci sequences such as Tanny sequences, Conway sequences, Conolly sequences etc. Let T 2 be an infinite complete binary tree. In this paper we related the connected isoperimetric problem on T 2 with the Tanny sequences which is defined by the recurrence relation a(i) = a(i − 1 − a(i − 1)) + a(i − 2 − a(i − 2)), a(0) = a(1) = a(2) = 1. In particular, we show that b c (i, T 2) = i + 2 − 2a(i), for each i ≥ 1. We also propose efficient polynomial time algorithms to find vertex isoperimetric values at i of bounded pathwidth and bounded treewidth graphs.

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Esta dissertação consiste em uma análise semântico-estilística de dez letras de música da variedade de forró conhecida como forró de duplo sentido ou forró safado. Investiga-se o que é o forró safado, como se desenvolveu no contexto do forró, desde sua origem até os dias atuais, caracterizando-se pelo emprego de recursos linguísticos, com a finalidade de promover a obscenidade e o humor por meio da ambiguidade. Observa-se os processos pelos quais os ouvintes participam da construção do sentido desses textos, preenchendo as lacunas deixadas pelo(s) autor(es) com a compreensão do conteúdo sexual implícito. O sentido obsceno, nessas canções, decorre da exploração das semelhanças e coincidências possíveis na constituição fônica de palavras ou expressões, assim como do emprego de signos verbais cujas latências de sentido permitem a atualização da conotação maliciosa. Destacam-se, no forró de duplo sentido, articulando-se em uma recriação da linguagem que visa à produção da ambiguidade, os seguintes fenômenos: polissemia, homofonia, sinonímia e metáfora, dos quais decorrem engenhosos e irreverentes efeitos de sentido