936 resultados para 010501 Algebraic Structures in Mathematical Physics


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The screening correction to the coherent pair-production cross section on the oxygen molecule has been calculated using self-consistent relativistic wave functions for the one-center and two-center Coulomb potentials. It is shown that the modification of the wave function due to molecular binding and the interference between contributions from the two atoms have both sizeable effects on the screening correction. The so-obtained coherent pair-production cross section which makes up the largest part of the total atomic cross section was used to evaluate the total nuclear absorption cross section from photon attenuation measurements on liquid oxygen. The result agrees with cross sections for other nuclei if A-scaling is assumed. The molecular effect on the pair cross section amounts to 15 % of the nuclear cross section in the {\delta-resonance} region.

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Femtosecond pump/probe multiphoton ionization experiments on Na_2 molecules are performed. The dependence of the total Na^+_2 ion signal on the delay time and the intensity of the femtosecond laser pulses is studied in detail. It is observed that molecular vibrational wavepacket motion in different electronic states dominates the time dependence of the ion signal. For higher laser intensities the relative contributions from the A ^1 \summe^+_u and the 2 ^1 \produkt__g states change dramatically, indicating the increasing importance of a two-electron versus a one-electron process. For even stronger fields (10 ^12 W/ cm²) a vibrational wavepacket in the electronic ground state X ^1 \summe^+_g is formed and its dynamics is also observed in the transient Na^+_2 signal. Time-dependent quantum calculations are presented. The theoretical results agree well with the experiment.

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The motion of a vibrational wave packet in the bound A(^1 \summe^+_u) electronic state of the sodium dimer is detected in a femtosecond pump/probe molecular beam experiment. For short times harmonic motion is seen in the total ion yield of Na^+_2 as a function of delay time between the two laser pulses. The spreading of the wave packet results in the loss of the periodic variation of the ion signal. For longer delay times (47 ps) the wave packet regains its initial form which is reflected in the revival structure of the Na^+_2 signal. Time-dependent quantum calculations reproduce the measured effects.

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Die q-Analysis ist eine spezielle Diskretisierung der Analysis auf einem Gitter, welches eine geometrische Folge darstellt, und findet insbesondere in der Quantenphysik eine breite Anwendung, ist aber auch in der Theorie der q-orthogonalen Polynome und speziellen Funktionen von großer Bedeutung. Die betrachteten mathematischen Objekte aus der q-Welt weisen meist eine recht komplizierte Struktur auf und es liegt daher nahe, sie mit Computeralgebrasystemen zu behandeln. In der vorliegenden Dissertation werden Algorithmen für q-holonome Funktionen und q-hypergeometrische Reihen vorgestellt. Alle Algorithmen sind in dem Maple-Package qFPS, welches integraler Bestandteil der Arbeit ist, implementiert. Nachdem in den ersten beiden Kapiteln Grundlagen geschaffen werden, werden im dritten Kapitel Algorithmen präsentiert, mit denen man zu einer q-holonomen Funktion q-holonome Rekursionsgleichungen durch Kenntnis derer q-Shifts aufstellen kann. Operationen mit q-holonomen Rekursionen werden ebenfalls behandelt. Im vierten Kapitel werden effiziente Methoden zur Bestimmung polynomialer, rationaler und q-hypergeometrischer Lösungen von q-holonomen Rekursionen beschrieben. Das fünfte Kapitel beschäftigt sich mit q-hypergeometrischen Potenzreihen bzgl. spezieller Polynombasen. Wir formulieren einen neuen Algorithmus, der zu einer q-holonomen Rekursionsgleichung einer q-hypergeometrischen Reihe mit nichttrivialem Entwicklungspunkt die entsprechende q-holonome Rekursionsgleichung für die Koeffizienten ermittelt. Ferner können wir einen neuen Algorithmus angeben, der umgekehrt zu einer q-holonomen Rekursionsgleichung für die Koeffizienten eine q-holonome Rekursionsgleichung der Reihe bestimmt und der nützlich ist, um q-holonome Rekursionen für bestimmte verallgemeinerte q-hypergeometrische Funktionen aufzustellen. Mit Formulierung des q-Taylorsatzes haben wir schließlich alle Zutaten zusammen, um das Hauptergebnis dieser Arbeit, das q-Analogon des FPS-Algorithmus zu erhalten. Wolfram Koepfs FPS-Algorithmus aus dem Jahre 1992 bestimmt zu einer gegebenen holonomen Funktion die entsprechende hypergeometrische Reihe. Wir erweitern den Algorithmus dahingehend, dass sogar Linearkombinationen q-hypergeometrischer Potenzreihen bestimmt werden können. ________________________________________________________________________________________________________________

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Spiro-starburst-structures with symmetric globular structures in forms of first and second generations that readily form stable amorphous glasses have been synthesized and then characterised in this work. During the synthesis of these materials, possibilities of the extension of the chains of the phenyl rings in 2,2’,7 and 7’-positions of the central core of the spirobifluorene as well as the 2’,7 and 7’-positions of the terminal spirobifluorene units of the spiro-starburst-structures have been investigated so that solubilities and morphologies of the compounds are not negatively influenced. Their morphological properties have been explored by recording their decomposition temperature and glass transition temperature. These compounds possessing two perpendicular arrangement of the two molecular halves show high glass transition temperature (Tg), which is one of the most important parameter indicating the stability of the amorphous state of the material for optoelectronic devices like organic light emitting diodes. Within the species of second generation compounds, for example, 4-spiro3 shows the highest Tg (330 °C) and the highest branching degree. When one [4B(SBF)SBF-SBF 84] or two [4SBFSBF-SBF 79] terminal spirobifluorene units are removed, the Tg decreases to 318 °C and 307 °C respectively. Photo absorption and fluorescence spectra and cyclic voltammetry measurements are taken in account to characterize the optoelectronic properties of the compounds. Spiro-starburst-structures emit radiation in the blue region of the visible spectrum. The peak maxima of absorption and emission spectra are observed to be at higher wavelength in the molecules with longer chromophore chains than in the molecules with shorter chromophore chains. Excitation spectra are monitored with their emission peak maxima. The increasing absorbing species in molecule leads to increasing molar extinction coefficient. In the case of 4B(TP)SBF-SBF 53 and 4B(SBF)SBF-SBF 84, the greater values of the molar extinction coefficients (43*104 and 44*104 L mol-1 cm-1 respectively) are the evidences of the presence of four times octiphenyl conjugation rings and eight times terminal fluorene units respectively. The optical properties of solid states of these compounds in the form of thin film indicate that the intermolecular interaction and aggregation of individual molecules in neat amorphous films are effectively hindered by their sterically demanding structures. Accordingly, in solid state, they behave like isolated molecules in highly dilute solution. Cyclic voltammetry measurements of these compounds show electrochemically reversibility and stability. Furthermore, the zeolitic nature (host-guest) of the molecular sieve of the synthesized spiro-starburst-structures has been analysed by thermogravimetric analysis method.

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Ein essentieller Bestandteil in dem Mechanismus der Translationskontrolle sind RNA-Pro­tein-Wechselwirkungen. Solche Interaktionen konnten in Translationssystemen an zwei unabhängigen cis-regulierenden Elementen durch in vitro-Bindungsanalysen mit individu­ellen rekombinanten Proteinen dokumentiert werden. Im Fall des translational control elements (TCE), welches ein konserviertes Sequenz-Ele­ment in der Mst(3)CGP-Genfamilie darstellt, wird eine negative Translationskontrolle durch die Bindung der Proteine CG3213, CG12470, CG1898, dFMR1, Exuperantia und Orb2 an diese Sequenz vermittelt (Stinski, 2011). Neben den in Bindungsstudien positiv getesteten Kandidaten dFMR1 und Orb2 (Stinski, 2011) wurde in der vorliegenden Dis­sertation CG3213 als weiterer direkter Bindungspartner an das TCE dokumentiert. Ein Abgleich der genomweiten Zusammenstellung von Proteininteraktionen in der Datenbank InterologFinder lieferte zwei weitere potentielle Kandidaten: CG34404 und CG3727. Al­lerdings schließen Northern-Analysen und das Proteinexpressionsmuster eine zentrale Rolle in der Drosophila-Spermatogenese für diese nahezu aus. In Kolokalisationsstudien einiger TCE-Komplex-Kandidaten mit CG3213 als Referenz konnten eindeutige Überein­stimmungen der Fluoreszenzmuster mit CG12470 in der postmeiotischen Phase be­schrieben werden, wohingegen mit Orb2 (postmeiotisch) und CG1898 (prämeiotisch) nur eine geringe Kolokalisation erkannt wurde. Punktstrukturen in den Verteilungsmustern sowohl von CG3213 als auch von CG12470 ließen sich nicht mit ER- und mitochondrien­spezifischen Markern korrelieren. Im Anschluss der Meiose konnte eine deutliche Intensitätserhöhung des CG3213-Proteins beobachtet werden, was eventuell durch eine veränderte Translationseffizienz zustande kommen könnte. Exuperantia (Exu) stellt einen bekannten Regulator für eine Reihe von translationskontrollierten mRNAs dar (Wang und Hazelrigg, 1994). Die Quantifizierungen der CG3213-mRNA in exu-mutantem Hintergrund bestätigen, dass auch die Transkript­menge der CG3213-mRNA durch Exu reguliert wird, was die obige Interpretation stützen würde. Für das zweite cis-regulierende Element, das cytoplasmic polyadenylation element (CPE), konnte eine direkte Bindung mit dem CPEB-Homolog in Drosophila (Orb2) gezeigt wer­den, welches auch eine Komponente des mst87F-RNP-Komplexes ist. Ein vermuteter Interaktionspartner dieses CPEBs ist Tob, weshalb die Verteilung beider Proteine in einem Kombinationsstamm verglichen wurde. In dem teilweise übereinstimmenden Fluoreszenz­muster ist Tob an den distalen Spermatidenenden auffallend konzentriert. Das gesamte Tob-Muster jedoch legt eine Verteilung in den Mitochondrien nahe, wie die MitoTracker®-Färbung belegt. Somit wurde erstmals ein Mitglied der Tob/BTG-Genfamilie in der Droso­phila-Spermatogenese mit Mitochondrien in Verbindung gebracht. Die Lokalisierung die­ser Proteine ist bislang unklar, jedoch konnte eine Kernlokalisation trotz der N-terminalen NLS-Sequenz mit Hilfe einer Kernfärbung ausgeschlossen werden.

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This paper approaches the topic of urban/community gardening not through the lens of urban theory per se but in light of basic farming realities such as growing season and land availability. Food security comprises availability and affordability. In the context of North American and Western European societies, only food affordability normally merits public discourse. In practice, governments have little or no means to change food affordability, in view of prevailing capitalistic free-market structures. In the current wave of popular exuberance, civic politicians and others have promoted the belief that community gardening could be the pathway to produce affordable food. The formidable obstacles to this pursuit include the availability of (low-cost) land within the highly-densified city limit, insufficient ambient temperature and water supply during the growing season and the contemporary structure of society. Overcoming these fundamental hurdles carries significant negative environmental and economic consequences.

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Search engines - such as Google - have been characterized as "Databases of intentions". This class will focus on different aspects of intentionality on the web, including goal mining, goal modeling and goal-oriented search. Readings: M. Strohmaier, M. Lux, M. Granitzer, P. Scheir, S. Liaskos, E. Yu, How Do Users Express Goals on the Web? - An Exploration of Intentional Structures in Web Search, We Know'07 International Workshop on Collaborative Knowledge Management for Web Information Systems in conjunction with WISE'07, Nancy, France, 2007. [Web link] Readings: Automatic identification of user goals in web search, U. Lee and Z. Liu and J. Cho WWW '05: Proceedings of the 14th International World Wide Web Conference 391--400 (2005) [Web link]

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Lecture notes for a course on methods of mathematical physics.

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Municipal solid waste issue has acquired a growing importance into urban management discussions, particularly in metropolitan areas. Although metropolitan regions were created for integrating public functions of common interest, it appears that the structures, in general, are limited to planning  activities. In this context, the democratization process occurred in Brazil during 1980’s led to the  strengthening of inter-municipal arrangements of voluntary cooperation, acquiring great expressiveness  in metropolitan areas, responsible for 60% of waste generated in Brazil. However, despite the  consortia emergence as an alternative management of metropolitan territory, its process of setting up and operation is not free of challenges and dilemmas. This paper starts with the hypothesis that  inter-municipal consortia in metropolitan areas have high strength asymmetry and weak regional  identity among municipalities, conditions that tend to create barriers to its concretization. In this  context, this research aim  to develop a comparative study of inter-municipal arrangements for solid  waste management in the metropolitan areas of Curitiba (pr), Belo Horizonte (bh) and Salvador  (ba), by identifying influence degree of regional identity and strength asymmetry in these arrangements. The multiple case study reveals an inverse proportionality relationship between regional  identity and strength asymmetry among the municipalities, deeply influenced by political interinstitutional  arrangement and the metropolitan area in which they are is inserted.

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El interés de esta monografía es analizar las interacciones no-lineales con resultados emergentes que mantuvo la comunidad kurda en Siria, durante el periodo 2011-2014, y por las cuales se produjeron formas de auto-organización como resultado de la estructura compleja a la que pertenece. De esta forma, se explica cómo a raíz de la crisis política siria y los enfrentamientos con el Estado Islámico, se transformó el rol de los kurdos en Siria y se influenciaron las estructuras políticas del país y las naciones de la región con población kurda. Por lo tanto, esta investigación se propone analizar este fenómeno a través del enfoque de complejidad en Relaciones Internacionales y el concepto de Auto-Organización. A partir de ello, se indaga sobre las interacciones surgidas en estructuras más pequeñas, que habrían afectado un sistema mayor; estableciendo nuevas formas de organización que no pueden ser explicadas, únicamente, a partir de elementos causales.

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Although ways of thinking about the past have changed, in Britain the reporting of excavations has followed a series of shared conventions for nearly 100 years. This article considers two of them. It investigates the relationship between accounts of stratigraphic evidence and the publication of the associated artefacts and ecofacts and suggests that it results from the combination of two separate intellectual traditions in the late nineteenth century. It also identifies certain widely shared proportions between the separate components of excavation monographs published over a long period of time. Their existence has never been acknowledged. The excavation report has become a well-established literary genre and authors who are familiar with such texts unconsciously reproduce the same structures in their writing.

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To determine the effects of defoliation on microbial community structure, rhizosphere soil samples were taken pre-, and post-defoliation from the root tip and mature root regions of Trifolium repens L. and Lolium perenne L. Microbial DNA isolated from samples was used to generate polymerase chain reaction-denaturing gradient gel electrophoresis molecular profiles of bacterial and fungal communities. Bacterial plate counts were also obtained. Neither plant species nor defoliation affected the bacterial and fungal community structures in both the root tip and mature root regions, but there were significant differences in the bacterial and fungal community profiles between the two root regions for each plant. Prior to defoliation, there was no difference between plants for bacterial plate counts of soils from the root tip regions; however, counts were greater in the mature root region of L. perenne than T. repens. Bacterial plate counts for T. repens were higher in the root tip than the mature root region. After defoliation, there was no effect of plant type, position along the root or defoliation status on bacterial plate counts, although there were significant increases in bacterial plate counts with time. The results indicate that a general effect existed during maturation in the root regions of each plant, which had a greater impact on microbial community structure than either plant type or the effect of defoliation. In addition there were no generic consequences with regard to microbial populations in the rhizosphere as a response to plant defoliation.

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