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1
Williams, Paul Douglas. "A liberal decline: an analysis of the electoral collapse of the Liberal Party of Australia, 1966-69 /." St. Lucia, Qld, 2003. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe17471.pdf.
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Rose, Sophie. "PASSING BY: THE LEGACY OF ROBERT MENZIES IN THE LIBERAL PARTY OF AUSTRALIA A study of John Gorton, Malcolm Fraser and John Howard." Thesis, Department of History, 2012. http://hdl.handle.net/2123/8836.
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This thesis considers the legacy of Robert Menzies in the Liberal Party of Australia, as articulated by Liberal party prime ministers, John Gorton, Malcolm Fraser and John Howard. It challenges the prevailing assumption in Australian historiography that Liberals have suffered from collective amnesia and have therefore not been successful in writing their own history, particularly in regards to their founder, Robert Menzies. It demonstrates that circumstances were key in shaping the way in which each prime minister thought and spoke about Menzies. It discusses how new nationalism hindered Gorton’s efforts; how liberalism inspired Fraser’s efforts; and how Howard’s belief in the importance of history drove his articulation of Menzies’ legacy.
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Sadleir, Christopher John, and n/a. "Australia's policy approach to Foreign Direct Investment 1968-2004 as a case study in globalisation, national public policy and public administration." University of Canberra. School of Business & Government, 2007. http://erl.canberra.edu.au./public/adt-AUC20080304.145454.
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Since the latter half of the twentieth century patterns of economic flows
and the deployment of systems of production have encouraged greater political and
social integration between nation states. This phenomenon, called globalisation,
has reinvigorated debate about the nation state as a mode of organisation, and
created the conditions for an ongoing natural experiment concerning state
adjustment. This experiment, while on a global scale, has led to different responses
from national governments, as each grappled with how best to accommodate both
domestic and international interests. One neglected aspect of analysis in these
processes is the role played by national bureaucracy in state adjustment as a means
to move with globalising pressures or to resist their impact.
This thesis presents a qualitative analysis of the interaction of one
globalising process, foreign direct investment (FDI), and the workings of the
nation state, as a means of assessing the way in which the national government has
used regulatory processes and its bureaucracy to control FDI. An extended
historical case study is used to examine changes in policy, regulation and the
organisation of the national bureaucracy concerned with FDI in Australia. The
period examined is from 1968 to 2004 enabling comparisons to be made across the
experience of seven successive national governments (those led by prime ministers
Gorton, McMahon, Whitlam, Fraser, Hawke, Keating and Howard) in the way they
managed the domestic and international circumstances that impacted on FDI.
This thesis makes a contribution to the literature on the interaction of
globalising processes, the nation state and the role played by national public
bureaucracies where national and transnational interests intersect. In particular, this
thesis identifies the national bureaucracy as a key agent for government in enabling
and domesticating the processes of globalisation. This finding demonstrates that
national bureaucracy is significant as both a facilitator and the inhibitor of
processes of globalisation, and therefore is a key factor in understanding the issues
of state adjustment in studies of globalisation.
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Pushnina, H. "Gordon Earle Moore." Thesis, Sumy State University, 2015. http://essuir.sumdu.edu.ua/handle/123456789/40444.
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Gordon Earle Moore is an American businessman and co-founder
and Chairman Emeritus of Intel Corporation and the author of
Moore's law. He was born in January 3, 1929 in San Francisco,
California. By January 2015, his net worth is $6.7 billion.
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Zacharias, Erica Ashley. "Gordon Matta-Clark's photographic spaces." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/38192.
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Gordon Matta-Clark (1943-1978) is best known for his experimental “building cuts,” in which he reconfigured whole architectural spaces slated for destruction in North and South America, and in Europe. An extensive scholarship theorizes Matta-Clark’s practice as a critique of his architectural education and a recuperation of the social spaces outside its purview. Today, audiences view Matta-Clark’s building cuts through the two-dimensional media of film and photography, further complicating the original works’ play with temporality and performance. Recent scholarship has seen photography as central to Matta-Clark’s performance-based and sculptural practice. This thesis addresses a gap in scholarship between Matta-Clark’s photography and his ephemeral works. Matta-Clark’s use of photography as document relates to the Land Art practice of exhibiting outdoor works inside the gallery. His photographs also engage in the photoconceptual practice of questioning that very documentary status. I trace three modalities for the photographic within Matta-Clark’s works: image (referent), object (medium), and apparatus (technology). I suggest that the photographic image is historically situated by the latter two categories as an ontologically specific space, at once material and abstract, technological and theoretical.
My research draws on theoretical discourses underpinning Modernist architecture. The role of photography is belied in Modernist architectural discourse, a mainstay of Cornell’s architecture program under the leadership of historian Colin Rowe, from which Matta-Clark received a BArch in 1968. I find an unstated connection between photography and phenomenal transparency, a term defined in Rowe and Robert Slutzky’s influential essay, “Transparency: Literal and Phenomenal,” where it is used to describe the abstraction of space in the work of Le Corbusier. I set up a theoretical framework for the conceptual role of photography in Matta-Clark’s practice by being attentive to the relationship between photography and architecture through the photographic slice, the visualized analog to the sculptural cut. I argue that in order to criticize the supposed transparency of both photography and architecture apparent in contemporary art practices and Modernist architectural discourse respectively, Matta-Clark’s work investigated the two media in tandem.
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Talafha, Abdallah M. "Modified Stochastic Sine-Gordon Equation." OpenSIUC, 2014. https://opensiuc.lib.siu.edu/dissertations/973.
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The main focus of my dissertation is the Modified Stochastic Sine-Gordon Equation: utt = 2uxx − ut − sin(|u|^(&gamma)) + b(u, du/dt)dW/dt where &gamma > 0 is the parameter of the power of non-linearity, &delta &ge 0 is the magnitude of non-linearity, &alpha> 0 be the damping parameter, and &sigma the diffusion intensity, on one dimensional domain. We analyze the properties of the solution of the SPDE by the eigenfunctions approach allowing us to truncate the infinite-dimensional stochastic system (i.e the SDEs of Fourier coefficients related to the SPDE), to control its energy, existence, uniqueness, continuity and stability. The analysis relies on the investigation of expected Lyapunov functional of the energy in terms of all system-parameters. We simulate the model with respect to all system-parameters to visualize our conclusions.
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Calixto, Alexandre Pitangui [UNESP]. "Operador quaterniônico de Klein-Gordon-Dirac." Universidade Estadual Paulista (UNESP), 2002. http://hdl.handle.net/11449/92025.
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calixto_ap_me_sjrp.pdf: 2312676 bytes, checksum: 5de410aa23e48f51d5aa6d67e78c03b6 (MD5)<br>Nesta dissertação é apresentada uma aproximação da Teoria de Variáveis Complexas de duas para quatro dimensões. Procura-se definir diferenciabilidade de funções quaterniônico, a partir da qual se estabelece uma relação com a teoria de regularidade de funções hipercomplexos [9]. Observa-se que após definir o operados quaterniônico T, é possível reescrever equações clássicas da Física de forma concisa, utilizando a definição de regularidade, que resulta na decomposição de uma equação diferencial de segunda ordem em duas equações diferenciais lineares de primeira ordem.
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Fattmann, Gordon [Verfasser]. "Praktische Rheometrie wandgleitender Polymere / Gordon Fattmann." Aachen : Shaker, 2007. http://d-nb.info/116650896X/34.
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Mujkanovic, Elma. "Gorgon motifs on Archaic Greek coins." Thesis, Uppsala universitet, Institutionen för arkeologi och antik historia, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-418134.
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The Gorgon is a creature described as terrible in ancient literature. It was depicted with glaring eyes, tusks and a hanging tongue and was a part of Greek antiquity from Archaic to Roman Period. The Gorgon motif has frequently been adorned on different materials. The reason as to why such a creature was depicted has been a subject of interest in earlier studies. The Gorgon motif has been elaborately studied in combination with buildings, armours and vases. A gap of knowledge that is still to be filled is a deeper examination of the Gorgon motifs on coins, which is the inspiration for this study in which the main aim is to approach an understanding of what function the Gorgon motif could have had on Archaic Greek coins. The study is based on a collection of 42 Archaic coins from Athens and Neapolis in Macedon. Through Panofsky's theory of iconography the material is analyzed and discussed via a series of sub-questions; ‘Did the Gorgon motifs differ depending on the location?’, ‘What combination of features appear on the coins?’, ‘To what extent was the Gorgon myth linked to the locations that used the motif and what other myths were used on coins during the same period? ’, ‘Is there a link between the use of Gorgon motifs on coins and on other material objects?’ The paper measures the possible explanations of the Gorgon motif with archaeological finds and ancient texts dealing with the Gorgon, many of which point to the fact that the Gorgon’s function generally served a purpose as an apotropaic symbol. Its function as a possible amulet is investigated using previous research that studies the symbolic significance of the Gorgon, as well as tracing its background and examination of the Gorgon myth to find possible connections with other mythical creatures.<br>Gorgonen är en varelse som beskrivs som fruktansvärd i den grekiska antikens litteratur. Den avbildas med stirrande ögon, betar och en hängande tunga. Gorgonen har varit en del av den grekiska antiken sedan dess början och har varit ett populärt motiv på olika material. Det har funnits stort intresse i tidigare studier kring anledningarna till att en sådan varelse valts att avbildas. Motivet har studerats omsorgsfullt när det har smyckat byggnader, rustningar och vaser. En lucka som inte har fyllts än inom ämnet är en djupare undersökning av gorgonmotiven på mynt, vilket även är ämnet för denna studie med syftet att närma sig en förståelse för de funktioner som Gorgonmotiven fyllde på mynt under arkaisk grekisk tid. Studien baseras på ett urval av 42 arkaiska mynt från Aten och Neapolis i Makedonien. Genom Panofskys trestegsmodell analyseras gorgonmotiv som framkommer på mynten och svarar på en rad viktiga underfrågor: Skiljer sig gorgonmotiv åt mellan platser Vilka kombinationer av gorgoner förekommer på mynten? I vilken utsträckning var gorgonmyten kopplad till de platser som använde motivet, vilka andra myter användes på mynten under samma period? Finns det ett samband mellan användningen av gorgonmotiv på mynt och på andra objekt? I uppsatsen bedöms möjliga förklaringar till gorgonmotivet med arkeologiska fynd och antika texter som behandlar gorgonen, varav många pekar mot att gorgonens funktion i allmänhet fyllde ett apotropeiskt syfte. Detta undersöks med hjälp av tidigare forskning av gorgonens symboliska betydelse samt kopplingen med andra mytiska varelser genom att spåra dess bakgrund och granskning av gorgonmyten.
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Calixto, Alexandre Pitangui. "Operador quaterniônico de Klein-Gordon-Dirac /." São José do Rio Preto : [s.n.], 2002. http://hdl.handle.net/11449/92025.
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Orientador: Manoel Ferreira Borges Neto<br>Resumo: Nesta dissertação é apresentada uma aproximação da Teoria de Variáveis Complexas de duas para quatro dimensões. Procura-se definir diferenciabilidade de funções quaterniônico, a partir da qual se estabelece uma relação com a teoria de regularidade de funções hipercomplexos [9]. Observa-se que após definir o operados quaterniônico T, é possível reescrever equações clássicas da Física de forma concisa, utilizando a definição de regularidade, que resulta na decomposição de uma equação diferencial de segunda ordem em duas equações diferenciais lineares de primeira ordem.<br>Mestre
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Gordon, Stephani Rae. "Film and the illusion of experience." Thesis, Montana State University, 2010. http://etd.lib.montana.edu/etd/2010/gordon/GordonS0510.pdf.
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Thesis (MFA)--Montana State University--Bozeman, 2010.<br>Typescript. Chairperson, Graduate Committee: Dennis Aig. Chasing birds in Beringia is a DVD accompanying the thesis. Includes bibliographical references (leaves 34-39).
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Gordon, Tanya Marie. "Assessing and improving middle school teaming from a science teacher's perspective." Montana State University, 2011. http://etd.lib.montana.edu/etd/2011/gordon/GordonT0811.pdf.
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In this project the concept of middle school teaming was explored with the purpose of assessing how the teams are currently functioning and how the daily teaming time can be improved. For the purpose of this study, teaming is described as a small group of teachers who teach various subjects to the same group of students and who share a common meeting time. Attitudes regarding teaming in general were assessed before and after attending a training workshop about teaming. In this training, individual working styles were explored, group norms were discussed, a mission statement was developed and goals were set.
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Gordon, Eric Duane. "Using the penalty immersed boundary method to model the interaction between filiform hairs of crickets." Thesis, Montana State University, 2011. http://etd.lib.montana.edu/etd/2011/gordon/GordonE0811.pdf.
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Fluid-structure interactions are important in a wide range of applications and, due to their complexity, need extensive experimental and computational research. One such example comes from crickets, which have evolutionarily developed an excellent micro-air-flow sensory system. Understanding principles of the cricket' micro-air-flow sensor will help design and manufacture artificial sensors. This thesis focuses on improving and validating a Penalty Immersed Boundary (PIB) model of the cricket sensory system, which consists of hundreds of filiform hairs. Previous efforts by others have modeled the filiform hair as a rigid inverted pendulum. Advantages to the PIB approach over previous models include a flexible fluid solver (previous models used an idealized, analytical flow field), the filiform hairs are not required to be completely rigid, and, most importantly, the entire cerci and all the filiform hairs can be modeled. The first goal was to improve the precision and accuracy of modeling a single filiform hair by adjusting model parameters so that the model predictions more accurately fit experimental data. A second goal was to model a portion of a full cercus based on filiform hair data from a real cricket and use the model to determine the interactions occurring between multiple hairs and identify any evolutionary optimization of the cercal system.
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Gordon, Janet Victoria. "Performance on large-scale science tests item attributes that may impact achievement scores /." Thesis, Montana State University, 2008. http://etd.lib.montana.edu/etd/2008/gordon/GordonJ0508.pdf.
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Significant differences in achievement among ethnic groups persist on the eighth-grade science Washington Assessment of Student Learning (WASL). The WASL measures academic performance in science using both scenario and stand-alone question types. Previous research suggests that presenting target items connected to an authentic context, like scenario question types, can increase science achievement scores especially in underrepresented groups and thus help to close the achievement gap. The purpose of this study was to identify significant differences in performance between gender and ethnic subgroups by question type on the 2005 eighth-grade science WASL. MANOVA and ANOVA were used to examine relationships between gender and ethnic subgroups as independent variables with achievement scores on scenario and stand-alone question types as dependent variables. MANOVA revealed no significant effects for gender, suggesting that the 2005 eighth-grade science WASL was gender neutral. However, there were significant effects for ethnicity. ANOVA revealed significant effects for ethnicity and ethnicity by gender interaction in both question types. Effect sizes were negligible for the ethnicity by gender interaction. Large effect sizes between ethnicities on scenario question types became moderate to small effect sizes on stand-alone question types. This indicates the score advantage the higher performing subgroups had over the lower performing subgroups was not as large on stand-alone question types compared to scenario question types. A further comparison examined performance on multiple-choice items only within both question types. Similar achievement patterns between ethnicities emerged; however, achievement patterns between genders changed in boys' favor. Scenario question types appeared to register differences between ethnic groups to a greater degree than stand-alone question types. These differences may be attributable to individual differences in cognition, characteristics of test items themselves and/or opportunities to learn. Suggestions for future research are made.
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Morales, Molina Luis Yansi. "Ratchet dynamics in nonlinear Klein-Gordon systems." [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=974449865.
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Arroyo, Valdir Carlos [UNESP]. "Estudo da equação de Klein-Gordon linear." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/94255.
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arroyo_vc_me_sjrp.pdf: 221886 bytes, checksum: 7aff63436217938f6e748fdea1840581 (MD5)<br>Neste trabalho estudamos a equação de Klein-Gordon linear. Definimos solução generalizada do Problema de Cauchy para tal equação. Provamos a existência e a unicidade da solução no espaço H1 loc(R2 + 1) e demonstramos o decaimento local de energia da solução.<br>In this work we studdy the linear Klein-Gordon equation. We define the notion of generalized solution to the Cauchy problem for such equation. We prove existence and uniqueness of solution in H1 loc(R2 + 1). We also prove local decay of energy for the solutions to the Cauchy problem.
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Culp, Daryl Timothy. "Gordon D. Kaufman's theory of theological language." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0011/NQ36596.pdf.
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McSharry, P. T. "The religious radicalism of Lord George Gordon." Thesis, University of York, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.516411.
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Nolinder, Anna, and Elin Sandberg. "The Klein-Gordon Equation and Pionic Atoms." Thesis, KTH, Teoretisk fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145862.
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This bachelor thesis introduces the Klein-Gordon equation and pionic atoms through a historical review. It discusses properties of the equation and its continuity equation based on a comparison with the Schrödinger equation and its continuity equation. The conclusion that the Klein-Gordon equation is a relativistic extension of the Schrödinger equation for spin-0 particles is drawn. This makes it possible to derive a Klein-Gordon equation and Coulomb potential based model for pionic atoms. The transition energies and the charge density for a pionic atom are derived. The model and a Schrödinger equation model are used to draw conclusions on the differences between regular and pionic atoms. Numerical predictions of the models are compared to experimental data and the accuracy of the models is discussed. Properties of the pionic atom are discussed based on the radial charge density.<br>I detta kandidatexamensarbete introduceras Klein-Gordonekvationen och pionska atomer via en historisk genomgång. Egenskaper hos ekvationen och dess kontinuitetsekvation diskuteras baserat på en jämförelse med Schrödingerekvationen och dess kontinuitetsekvation. Vi drar slutsatsen att Klein-Gordonekvationen är en relativistisk utvidgning av Schrödingerekvationen för spin-0-partiklar. Detta möjliggör härledningen av en modell för pionska atomer baserad på Klein-Gordonekvationen och Coulombpotentialen. Övergångsenergierna och laddningstätheten härleds för en pionsk atom. Modellen används tillsammans med en modell baserad på Schrödingerekvationen för att dra slutsatser om skillnaderna mellan vanliga och pionska atomer. Numeriska förutsägelser från modellerna jämförs med experimentella data och modellernas giltighet diskuteras. Egenskaper hos pionska atomer diskuteras baserat på den radiella laddningstätheten.
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Arroyo, Valdir Carlos. "Estudo da equação de Klein-Gordon linear /." São José do Rio Preto : [s.n.], 2008. http://hdl.handle.net/11449/94255.
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Orientador: Waldemar Donizete Bastos<br>Banca: Marcelo Reicher Soares<br>Banca: Juliana Conceição Precioso Pereira<br>Resumo: Neste trabalho estudamos a equação de Klein-Gordon linear. Definimos solução generalizada do Problema de Cauchy para tal equação. Provamos a existência e a unicidade da solução no espaço H1 loc(R2 + 1) e demonstramos o decaimento local de energia da solução.<br>Abstract: In this work we studdy the linear Klein-Gordon equation. We define the notion of generalized solution to the Cauchy problem for such equation. We prove existence and uniqueness of solution in H1 loc(R2 + 1). We also prove local decay of energy for the solutions to the Cauchy problem.<br>Mestre
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Oliva, Alessandro Marco. "I campi solitonici e l'equazione di Sine-Gordon." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/14088/.
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In questo lavoro di tesi verranno presentati inizialmente i concetti di onda solitaria e di solitone e ne verranno descritte le principali proprietà. Questa prima parte dal carattere prettamente matematico verrà poi sfruttata per analizzare a fondo l'equazione di Sine-Gordon, la quale emerge nelle più disparate aree della fisica. In particolare ne ricaveremo alcune soluzioni solitoniche utilizzando il metodo dello scattering inverso, sviluppato appositamente per risolvere equazioni differenziali alle derivate parziali non lineari di questo tipo. Infine, vedremo come l'equazione di Sine-Gordon emerga dallo studio del fenomeno della self-induced transparency.
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Temesgen, Achenef Tesfahun. "Regularity results for the Dirac-Klein-Gordon equations." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-5404.
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Umpleby, James. "Complex sine-Gordon theory : solitons, defects and boundaries." Thesis, Durham University, 2008. http://etheses.dur.ac.uk/2062/.
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This thesis presents research into the properties and features of the complex sine- Gordon theory. The CSG theory is a dimensional integrable held theory that admits soliton solutions which carry a Noether charge due to the U(I) invariance of the theory. Integrable CSG defects and boundaries are constructed and interactions between solitons, defects and boundaries are analysed at the classical and quantum level. The introduction of defects into the theory is facilitated by a new Backlund transformation involving two parameters. Defect conditions, constructed so they maintain the integrability of the theory and found to be exactly the BT, are used to sew two CSG theories together. How solitons interact with the defect is investigated, in particular whether as in the SG theory solitons can be absorbed and emitted by the defect. The classical time-delay and phase-shift are calculated for soliton-defect and particle-defect scattering. Using the CSG defect to dress the Dirichlet boundary a new CSG boundary theory is produced. Its integrability is checked by the explicit construction of conserved charges. The various interactions between solitons and the boundary are analysed, compared and contrasted with the defect theory. Finally aspects of the quantum CSG boundary theory are examined, culminating in a conjecture for the quantum reflection matrix for a Q = -1-1 soliton reflecting from an unexcited boundary. Reflection and boundary bootstrap procedures are used to generate the general reflection matrix for any charged soliton reflecting from any excited boundary
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Weyand, Tracy K. "Variational analysis of a nonlinear Klein-Gordon equation." Honors in the Major Thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/1148.
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This item is only available in print in the UCF Libraries. If this is your Honors Thesis, you can help us make it available online for use by researchers around the world by following the instructions on the distribution consent form at http://library.ucf.edu/Systems/DigitalInitiatives/DigitalCollections/InternetDistributionConsentAgreementForm.pdf You may also contact the project coordinator, Kerri Bottorff, at kerri.bottorff@ucf.edu for more information.<br>Bachelors<br>Sciences<br>Mathematics
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Ablikim, Medina. "Boundary sinh-Gordon model and its supersymmetric extension." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4853/.
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Three different aspects of the sinh-Gordon model are explored in this thesis. We begin, in chapter one, with a summary of the model and the necessary background. Chapter two studies the model with two boundary conditions. Two approaches are presented to investigate the reflection factors off the boundaries and the energy of the theory. In chapter three, perturbation theory is developed to study the theory with one general boundary condition. A contribution to the quantum reflection factor is obtained and compared with the result obtained for the special boundary condition. Chapters four and five investigate the supersymmetric extension of the model in the presence of a single boundary. Firstly, the classical limits of the supersymmetric reflection matrices are checked. The exact reflection factors are studied perturbatively up to the second order of the coupling constant. Secondly, the perturbation theory and the path integral formalism are employed in the supersymmetric model to study the quantum reflection factors. We conclude with a brief sixth chapter describing the outlook for further investigations.
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MacIntyre, Alistair. "On the integrability of the sine-Gordon system." Thesis, Durham University, 1997. http://etheses.dur.ac.uk/5011/.
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This thesis investigates the integrability of the sine-Gordon system of nonlinear partial differential equations when the dependent variables are subject to some very particular boundary conditions. In chapter 1 the sine-Gordon system is introduced and, with N ϵ Z, P, Q ϵ R, the sets of initial-boundary value problems A(_N) and B(_P,Q) are defined. In the set A(_N) at the spatial variable x is unbounded and the boundary conditions are fixed by initially choosing the topological charge N. This set of problems is the one usually associated with the sine-Gordon system. In the set B(_P,Q) the spatial coordinate is constrained to the semi-line (-oo,0) and there exists two boundary parameters P,Q ϵ R to be chosen a priori. It is the study of this second set of initial-boundary value problems for arbitrary P, Q which forms all the original work of this dissertation. The study presented here is primarily concerned with the development of three separate inverse scattering methods for solving these sets of initial-boundary value problems. The first of these is developed in chapter 3 and is applicable to a subset of the problems in A(_N). The method is the one usually associated with the sine-Gordon system and studies the asymptotics of the initial data as x → ±oo. It is included in this thesis for completeness and as background for the original material which follows. Next, in chapters 4 and 5, the inverse scattering methods appropriate to initial-boundary value problems in subsets of B(_P,O) and B(_P,Q#O) are constructed. In these cases it is important to realise that it is only possible to study the asymptotics of the initial data as x → -oo. Once these three methods have been formulated they are used to find soliton solutions and infinite sets of integrals of motion for these boundary value problems. When a boundary is present at x = 0 the interaction of the solitons with this boundary is studied. These topics are addressed in chapter 6. Finally in chapter 7 the question of the integrability of both sets of problems is addressed. By interpreting the various inverse scattering methods in terms of canonical coordinate transformations of phase space it is seen that the existence of such methods can be viewed as a constructive proof of the integrability of these boundary value problems.
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JAGER, LISETTE. "Fonctions de mathieu et calcul de klein-gordon." Reims, 1994. http://www.theses.fr/1994REIMS003.
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Ce travail est consacre a une etude, en dimension un, de l'oscillateur relativiste l, deformation relativiste de l'oscillateur harmonique; l'equation aux valeurs propres est la meme que celle qui conduit aux fonctions de mathieu modifiees, mais on s'interesse ici aux fonctions propres qui tendent vers 0 a l'infini. Les methodes reposent sur le calcul symbolique de klein-gordon, lie a l'oscillateur relativiste comme le calcul de weyl l'est a l'oscillateur harmonique. Une moitie de cette these concerne les fonctions propres de l: les resultats comprennent le nombre de zeros, les developpements bkw a l'infini, une equation integrale de la k-eme fonction propre (generalisant celle donnee par a. Unterberger). L'emploi du calcul de klein-gordon permet d'expliciter, en un sens, les coefficients de fourier-floquet des fonctions de mathieu usuelles. L'estimation de la k-eme valeur propre de l requiert, comme l'ont montre colin de verdiere et helffer-robert, la construction d'une fonction de l dont le symbole a un flot hamiltonien de periodes constantes. L'etude de cet operateur necessite, pour commencer, un calcul fonctionnel des puissances de l et inl, dont on deduit aussi les poles de la fonction zeta de l. Pour reconnaitre en l'exponentielle de cet operateur un operateur pseudo differentiel on etablit une caracterisation a la beals d'une classe d'operateurs pseudo differentiels du calcul de klein-gordon. Sous l'hypothese (que nous comptons justifier dans un travail ulterieur) que deux valeurs propres consecutives de l ne sont pas trop proches on donne un developpement limite, sous forme implicite, de la k-eme valeur propre de l
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Alima, Marie Roland Joël. "Analyse du couplage non linéaire sur le comportement des modèles sine-Gordon et Klein-Gordon dans les bandes passante et interdite." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCK011/document.
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Dans cette thèse, nous faisons l'analyse des conditions d'existence du phénomène de supratransmission non linéaire dans deux modèles différents: un système de Klein-Gordon de cinquième ordre modifié et un système de sine-Gordon modifié. Les modèles modifiés considérés ici sont ceux avec couplage mixte, le couplage linéaire pur étant associé à un couplage non linéaire. En particulier, nous quantifions numériquement l'influence du coefficient de couplage non linéaire sur l'amplitude de seuil qui déclenche le phénomène de supratransmission non-linéaire. Notre résultat principal montre que, dans les deux modèles, lorsque le coefficient de couplage non linéaire augmente, l'amplitude de seuil déclenchant le phénomène de supratransmission non linéaire diminue<br>In this thesis, we analyze the conditions of existence of the phenomenon of nonlinear supratransmission in two different models: a modified fifth-order Klein-Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. In particular, we quantify numerically the influence of the non-linear coupling coefficient on the threshold amplitude which triggers the phenomenon of non-linear supratransmission. Our main result shows that in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the phenomenon of nonlinear supratransmission decreases
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Nassour, John [Verfasser], Gordon[Betreuer] [Mitwirkender] Cheng, Fethi [Akademischer Betreuer] Benzouezdou, Tamim [Akademischer Betreuer] Asfour, and Gordon [Akademischer Betreuer] Cheng. "Success-Failure Learning for Humanoid: study on bipedal walking / John Nassour. Gutachter: Fethi Benzouezdou ; Tamim Asfour ; Gordon Cheng. Betreuer: Gordon Cheng." München : Universitätsbibliothek der TU München, 2014. http://d-nb.info/1049523717/34.
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Trachsel, Andrew Jackson. "Toward a critical edition of Gordon Jacob's William Byrd Suite a comparison of extant editions with the Fitzwilliam virginal book /." connect to online resource, 2007. http://digital.library.unt.edu/permalink/meta-dc-3913.
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Thesis (D.M.A.)--University of North Texas, 2007.<br>System requirements: Adobe Acrobat Reader. Accompanied by 4 recitals on 1 compact disc, recorded Feb. 7, 2006, Mar. 1, 2006, Mar. 27, 2006, and Apr. 22, 2006. Includes bibliographical references (p. 146-150).
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McBride, Louis A. "The "impersonal" human nature of Jesus Christ in the incarnation : an assessment of Gordon Clark's later christology /." Theological Research Exchange Network (TREN) Access this title online, 1997. http://www.tren.com.
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Lutscher, Ewald [Verfasser], Gordon [Akademischer Betreuer] [Gutachter] Cheng, and Alin [Gutachter] Albu-Schäffer. "Set Point Generation and Task Specification for Indirect Force Controlled Robots / Ewald Lutscher ; Gutachter: Alin Albu-Schäffer, Gordon Cheng ; Betreuer: Gordon Cheng." München : Universitätsbibliothek der TU München, 2017. http://d-nb.info/1137010436/34.
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Trachsel, Andrew Jason. "Toward a Critical Edition of Gordon Jacob's William Byrd Suite: A Comparison of Extant Editions with The Fitzwilliam Virginal Book." Thesis, University of North Texas, 2007. https://digital.library.unt.edu/ark:/67531/metadc3913/.
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Despite being recognized as one of the most important compositions in the twentieth¬ century wind band repertoire, the William Byrd Suite presents many obstacles for the conductor and ensemble members. Since its initial publication in 1924, the piece has contained many discrepancies of pitch, articulation, rhythm, dynamics, and phrase completion that appear in the score as well as the parts. Although the work was reissued by Boosey & Hawkes in 1960 and 1991, many of the original errors remained intact. The sheer amount of inconsistencies causes great difficulties for the musicians involved in the rehearsal process, slowing efficiency and resulting in a frustrating impediment to a quality performance. The primary purpose of this study was the creation of a critical edition of Jacob's William Byrd Suite that eliminates errors of extant editions, incorporates modern instrumentation, and considers the source material. To accomplish this, the present project looks at all sources, including the autograph manuscript, orchestral version, published editions, and errata. The editorial process examines the governing philosophy, subsequent editorial decisions and indications, and the final organization of the parts. The study concludes with the inclusion of the full score of the new critical edition.
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Kaipa, Krishna Vinod. "Topological charge of real finite-gap sine-gordon solutions." College Park, Md.: University of Maryland, 2009. http://hdl.handle.net/1903/9466.
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Thesis (Ph.D.) -- University of Maryland, College Park, 2009.<br>Thesis research directed by: Applied Mathematics and Scientific Computation Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Nascimento, Wanderley Nunes do. "Klein-Gordon models with non-effective time-dependent potential." Universidade Federal de São Carlos, 2016. https://repositorio.ufscar.br/handle/ufscar/7453.
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Previous issue date: 2016-02-19<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>In this thesis we study the asymptotic properties for the solution of the Cauchy
problem for the Klein-Gordon equation with non-effective time-dependent potential.
The main goal was define a suitable energy related to the Cauchy problem and derive
decay estimates for such energy. Strichartz’ estimates and results of scattering and
modified scattering was established. The C m theory and the stabilization condition
was applied to treat the case where the coefficient of the potential term has very fast
oscillations. Moreover, we consider a semi-linear wave model scale-invariant time-
dependent with mass and dissipation, in this step we used linear estimates related
with the semi-linear model to prove global existence (in time) of energy solutions for
small data and we show a blow-up result for a suitable choice of the coefficients.<br>Nesta tese estudamos as propriedades assintóticas para a solução do problema
de Cauchy para a equação de Klein-Gordon com potencial não efetivo dependente
do tempo. O principal objetivo foi definir uma energia adequada relacionada ao
problema de Cauchy e derivar estimativas para tal energia. Estimativas de Strichartz
e resultados de scatering e scatering modificados também foram estabelecidos. A
teoria C m e a condição de estabilização foram aplicados para tratar o caso em que
o coeficiente da massa oscila muito rápido. Além disso, consideramos um mod-
elo de onda semi-linear scale-invariante com massa e dissipação dependentes do
tempo, nesta etapa usamos as estimativas lineares de tal modelo para provar ex-
istência global (no tempo) de solução de energia para dados iniciais suficientemente
pequenos e demonstramos um resultado de blow-up para uma escolha adequada
dos coeficientes.
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Ymai, Leandro Hayato [UNESP]. "Hierarquia mKdV e sinh-Gordon supersimétrica com N = 1." Universidade Estadual Paulista (UNESP), 2005. http://hdl.handle.net/11449/91845.
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ymai_lh_me_ift.pdf: 483788 bytes, checksum: 4f0df0fea1d850bbc366844622fd0b5f (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Apresentamos a formulação da hierarquia mKdV e sinh-Gordon supersimétrica com N = 1 baseada na superálgebra de Kac-Moody sl(2,1). Obtivemos soluções para até quatro vértices para ambos os modelos de dressing e também discutimos a transformação de Bäcklund para o modelo sinh-Gordon supersimétrico utilizando supercampos<br>We introduce the formulation of supersymmetric mKdV and sinh-Gordon hierarchy with N = 1 based on Kac-Moody sl(2,1) superalgebra. We ontained solutions to up to four vertex operator for both models using the dressing method and we also discuss the Bäcklund transformation for the supersymmetric sinh-Gordon model using superfields
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Gremme, Gordon [Verfasser], and Stefan [Akademischer Betreuer] Kurtz. "Computational Gene Structure Prediction / Gordon Gremme. Betreuer: Stefan Kurtz." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2013. http://d-nb.info/1037199626/34.
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Schmidt, Gordon [Verfasser]. "Optische Nanocharakterisierung GaN-basierter Quantenstrukturen für Mikroaktivitäten / Gordon Schmidt." Magdeburg : Universitätsbibliothek, 2017. http://d-nb.info/1151571490/34.
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Tzamtzis, Georgios. "The complex sine-Gordon model on a half line." Thesis, Durham University, 2003. http://etheses.dur.ac.uk/3086/.
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In this thesis, we study the complex sine-Gordon model on a half line. The model in the bulk is an integrable (l+1) dimensional field theory which is U(1) gauge invariant and comprises a generalisation of the sine-Gordon theory. It accepts soliton and breather solutions. By introducing suitably selected boundary conditions we may consider the model on a half line. Through such conditions the model can be shown to remain integrable and various aspects of the boundary theory can be examined. The first chapter serves as a brief introduction to some basic concepts of integrability and soliton solutions. As an example of an integrable system with soliton solutions, the sine-Gordon model is presented both in the bulk and on a half line. These results will serve as a useful guide for the model at hand. The introduction finishes with a brief overview of the two methods that will be used on the fourth chapter in order to obtain the quantum spectrum of the boundary complex sine-Gordon model. In the second chapter the model is properly introduced along with a brief literature review. Different realisations of the model and their connexions are discussed. The vacuum of the theory is investigated. Soliton solutions are given and a discussion on the existence of breathers follows. Finally the collapse of breather solutions to single solitons is demonstrated and the chapter concludes with a different approach to the breather problem. In the third chapter, we construct the lowest conserved currents and through them we find suitable boundary conditions that allow for their conservation in the presence of a boundary. The boundary term is added to the Lagrangian and the vacuum is reexamined in the half line case. The reflection process of solitons from the boundary is studied and the time-delay is calculated. Finally we address the existence of boundary-bound states. In the fourth chapter we study the quantum complex sine-Gordon model. We begin with a brief overview of the theory in the bulk where the semi-classical spectrum and an exact S'-matrix are presented. Following that we use the stationary phase method to derive the semi-classical spectrum of boundary bound states. The bootstrap method is used as an alternative approach to obtain the same spectrum. The results are discussed and compared. The final chapter consists of a general discussion on open questions and problems of the model, and some proposals for further research.
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Winters, David. "Charismatic revision : Gordon Lish and American fiction since 1960." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/290377.
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Ymai, Leandro Hayato. "Hierarquia mKdV e sinh-Gordon supersimétrica com N = 1 /." São Paulo : [s.n.], 2005. http://hdl.handle.net/11449/91845.
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Orientador: Abraham Hirsz Zimerman<br>Banca: Rogério Rosenfeld<br>Banca: Paulo Teotônio Sobrinho<br>Resumo: Apresentamos a formulação da hierarquia mKdV e sinh-Gordon supersimétrica com N = 1 baseada na superálgebra de Kac-Moody sl(2,1). Obtivemos soluções para até quatro vértices para ambos os modelos de dressing e também discutimos a transformação de Bäcklund para o modelo sinh-Gordon supersimétrico utilizando supercampos<br>Abstract: We introduce the formulation of supersymmetric mKdV and sinh-Gordon hierarchy with N = 1 based on Kac-Moody sl(2,1) superalgebra. We ontained solutions to up to four vertex operator for both models using the dressing method and we also discuss the Bäcklund transformation for the supersymmetric sinh-Gordon model using superfields<br>Mestre
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Xiong, Chuyu. "Low mode truncation methods in the sine-gordon equation /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487758178236278.
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LINS, Aline Nascimento. "Equação de Klein-Gordon não-linear e superuidos relativísticos." Universidade Federal de Campina Grande, 2017. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1932.
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Previous issue date: 2017-02<br>O conceito de Matéria Escura surgiu para explicar uma anomalia na curva de rotação de galáxias espirais, desde então, pesquisadores de todo o mundo vêm tentando detectar a partícula que compõe tal matéria. Sem sucesso nas detecções, surgiram algumas teorias para explicar a existência tanto da Matéria Escura quanto da Energia Escura, responsável pela expansão acelerada do Universo. Neste trabalho apresentamos uma dessas teorias. Aqui sugerimos que o Universo se comporta de uma maneira diferente com a qual estamos acostumados, para isso tzemos uso da relatividade geral e da equação não-linear de Klein-Gordon, e então admitimos que o Universo está imerso em um superfluido relativístico para assim podermos explicar teoricamente Matéria Escura e Energia Escura.<br>The concept of Dark Matter arises to explain an anomaly in the rotation curve of spiral
galaxies, since then, researchers around the world have been trying to detect the particle
that composes this matter. Without success in the detections, some theories appeared to
explain the existence of both Dark Matter and Dark Energy, the last one is responsible
for the accelerated expansion of the Universe. In this dissertation we present one of
these theories. Here we suggest that the Universe behaves in a di erent way with which
we are accustomed, for this we have made use of the general relativity and the
Klein-Gordon's nonlinear equation, and then we admit that the Universe is immersed in
a relativistic superfluid so we can theoretically explain Dark Matter and Dark Energy.
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Nordgren, Kenneth. "God as problem and possibility : a critical study of Gordon Kaufman's thought toward a spacious theology /." Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3624.
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Filho, Almir Ribeiro da Silva. "Edward Gordon Craig e o Über-Marionette - A pedagogia da morte do ator e uma interface com o teatro da Índia." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/27/27155/tde-22082016-134817/.
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O Über-marionette é a proposta mais célebre e polêmica de Edward Gordon Craig. Ela parte de uma premissa inicial que sentencia à morte o ator, identificado como um empecilho para o desenvolvimento do teatro. Ao mesmo tempo se desenvolve positivamente em uma pedagogia, ainda que velada, em sua obra. Por isso decidimos denominar esta tese de \"Pedagogia da morte do ator\", compreendendo o paradoxo contido nesta expressão como uma elaboração característica do sistema intelectual de Gordon Craig. Ao criar uma representação imagética para uma crítica ao teatro de seu tempo, Craig formulava, simultaneamente, uma proposta, em forma alegórica, de um revolucionário projeto para o redimensionamento da arte teatral, como um todo. E apresentava uma pedagogia ainda inovadora baseada na relação entre o ator e o material inerte. Muito do longevo potencial revolucionário do Über-marionette, é devido à utilização metódica de algumas matérias-primas: A primeira delas é uma crítica incisiva sobre o trabalho do ator e sobre a prática teatral de um modo geral. A segunda a linguagem do Teatro de bonecos, e sua natureza evocativa de ritualidades e dialéticas. A terceira por uma proposta de redimensionamento das práticas e estéticas teatrais, pleiteando o renascimento da arte do ator e o surgimento da figura do Encenador teatral. A provocação do Über-marionette foi o ponto inicial de um diálogo entre Gordon Craig e Ananda Coomaraswamy, historiador de arte indiana. Essa interface com o Oriente sempre esteve presente no pensamento de Craig e encontrou em Coomaraswamy um interlocutor importante que o desafiou sobre a criação do Über-marionette e sua abordagem sobre a arte teatral oriental. A reação precavida de Craig em relação a trocas entre tradições inicia as reflexões sobre o tema do teatro intercultural e aponta suas idiossincrasias. Apresentamos o parentesco entre o Über-marionette e o ícone das artes cênicas hindus, o deus Shiva Nataraja e com o livro que regula a prática cênica tradicional na Índia, o Natya Shastra. Tomamos como exemplo prático para tentar avaliar concretamente esse embate dialógico o Kathakali, estilo de teatro clássico masculino do sul da índia. A partir daí, analisamos a tradição pedagógica indiana para a arte teatral (o sistema de gurus) que baseou a argumentação de Coomaraswamy para sua crítica à formação do Über-marionette. E avaliamos se o teatro Kathakali poderia configurar uma concretização da argumentação de Coomaraswamy. E se esta concretização responderia à demanda de Gordon Craig por um ator Über-marionette. Dentro dessa análise, observamos o processo de estilização e codificação formal proposta pelos teatros asiáticos e de marionetização de seus atores. Esse diálogo entre Gordon Craig e Coomaraswamy foi o prenúncio de uma complexa interface que até hoje se mostra recheada de idiossincrasias e de difícil emolduramento. Exemplificando a ciclicidade desta questão, resgatamos o embate entre Rustom Bharucha, crítico severo das tentativas de interculturalismo ocidental e Richard Schechner, um dos mentores das aproximações entre o teatro ocidental e as formas teatrais tradicionais do Oriente.<br>The Über - marionette is the most celebrated and controversial proposal of Edward Gordon Craig . It begins from an initial premise that sentenced the actor to death, identifying the actor as a hindrance to the development of the theater. At the same time develops positively into pedagogy, although hidden in his writings. We decided to call it \"Pedagogy of the death of the actor\", understanding the paradox contained in this expression as an intellectual characteristic of the Gordon Craig\'s system of thinking. By creating an imagistic representation for his critique to the theater of his time, Craig formulated simultaneously a proposal , in allegorical form , of a revolutionary design for the resizing of theater art as a whole. An innovative pedagogy based on the relationship between the actor and inert material. Much of the longevity of the Über-marionette\'s revolutionary potential is due to the methodical use of some raw materials: The first is an incisive critique of the work of the actor and the theater practice generally. The second one, the language of puppet theater, and its evocative nature of rituality and dialectical properties. The third one, a proposal for a complete reconstruction of the theatrical practice and aesthetics, claiming for a revival of the art of the actor and the emergence of the figure of Theatrical Stage Director. This interface with the East was always present in the thought of Craig and found in Coomaraswamy an important interlocutor who challenged him about his the Über-marionette and his approach on the eastern theater art. The cautious reaction from Craig regarding exchanges between traditions begins the investigations on the theme of intercultural theater and points out its idiosyncrasies. This thesis points out the relationship between the Über-marionette and the icon of the hindu performing arts, the god Shiva Nataraja, and the book that rules the practice of traditional scenic in India, the Natya Shastra. We take as a practical example to try to concretely evaluate this dialogical encounter, the Kathakali theater classic male style from southern India. Then, we analyze the pedagogical tradition for Indian theatrical art (Guru system) which supported Coomaraswamy\'s argument founding his critical to the creation f the Über - marionette. And we evaluate if the Kathakali theater could be seen as an embodiment of Coomaraswamy\'s argument. And if this embodiment answers Craig\'s demand for an actor Über - marionette. Within this analysis, we observe the asian theatre\'s process of formal stylization and codification of its scene and acting. This dialogue between Gordon Craig and Coomaraswamy was the precursor of a complex interface that even today presents its idiosyncrasies and difficult framing . Exemplifying the cyclicality of this issue, we redeemed the clash between Rustom Bharucha, harsh critic of Western attempts to Interculturalism and Richard Schechner , one of the mentors of the approaches between western theater and the traditional theater forms of the East.
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Lindquist, Joseph M. "Unstructured high-order galerkin-temporal-boundary methods for the klein-gordon equation with non-reflecting boundary conditions." Monterey, California : Naval Postgraduate School, 2010. http://edocs.nps.edu/npspubs/scholarly/dissert/2010/Jun/10Jun%5FLindquist%5FPhD.pdf.
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Dissertation (Ph.D. in Applied Mathematics)--Naval Postgraduate School, June 2010.<br>Dissertation supervisor(s): Neta, Beny ; Giraldo, Francis. "June 2010." Description based on title screen as viewed on July 15, 2010. Author(s) subject terms: Non-reflecting Boundary, Spectral Elements, Runge-Kutta, High-Order, Klein-Gordon, Shallow Water Equations. Includes bibliographical references (p. 145-150). Also available in print.
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Krajewski, Florian. "New path integral simulation algorithms and their application to creep in the quantum sine-Gordon chain." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=969939922.
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Baglioni, Paolo. "Il campo di Klein-Gordon e i diagrammi di Feynman." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/14605/.
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In questa trattazione viene presentata brevemente la teoria moderna dei campi classici relativistici. Partendo dalla trattazione classica della meccanica analitica si arriva a formulare una teoria di campo in accordo con i postulati della relatività ristretta. Particolare attenzione è stata fornita ad un'interpretazione particellare dei campi, senza introdurre il formalismo matematico della teoria dei campi quantistici, evitando quindi la procedura della seconda quantizzazione o dei cammini di Feynman. Questo ha permesso di mettere in risalto le strutture fondamentali del campo di Klein-Gordon e di descrivere mediante l'utilizzo del propagatore di Feynman alcune interazioni tra le sorgenti e il campo stesso.
Sono state analizzate le soluzioni della dinamica libera del campo e della dinamica con sorgenti statiche e non statiche, con particolare interesse verso le interazioni che coinvolgono scambi di particelle virtuali e reali. Sono state aggiunte delle applicazioni della teoria alla modellizzazione di alcuni processi di diffusione come quella di pioni su un potenziale elettromagnetico e lo scattering pione-pione. Nell'ultimo capitolo sono stati introdotti i diagrammi di Feynman come metodo grafico per rappresentare alcuni processi, in particolar modo sono stati analizzati processi di auto-interazione e di interazione mediata da mesoni sigma.
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AMAR-SERVAT, Emmanuelle. "Asymptotic solutions and resonances for Klein-Gordon and Schrödinger operators." Phd thesis, Université Paris-Nord - Paris XIII, 2002. http://tel.archives-ouvertes.fr/tel-00002342.
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Mon travail de thèse se situe dans le cadre de l'analyse semi-classique. Il se divise en trois parties. Dans la première, j'ai étudié l'opérateur de Klein-Gordon semi-classique en dimension un. Dans la zone où le potentiel reste sous le niveau d'énergie, il existe pour cet opérateur des constructions de solutions WKB, similaires à celles développées pour l'opérateur de Schrödinger. Sous certaines hypothèses, on a prolongé ces solutions hors de cette zone, grâce aux méthodes utilisées près des points tournants pour l'opérateur de Schrödinger. On a ensuite étudié un exemple pour lequel on peut faire des calculs explicites. Enfin, en dimension quelconque, on a obtenu une nouvelle majoration des fonctions propres, lorsque la distance d'Agmon associée à cet opérateur a un gradient lipschitzien. La deuxième partie concerne l'opérateur de Schrödinger et l'étude des résonances en dimension un. Lorsque le potentiel présente deux puits et une mer pour les niveaux d'énergies considérés, on a obtenu des conditions de non croisement des résonances ainsi que leur graphe, grâce à la construction de modes. En présence d'un nombre quelconque de puits, cela permet également de calculer une estimation de la partie imaginaire des résonances dans le cas d'une interaction simple. Enfin, dans la troisième partie, on considère un opérateur de Schrödinger dont le potentiel présente un maximum non dégénéré. On a étudié les résonances générées par une courbe homocline qui passe par ce maximum. En dimension un, on a obtenu une condition de quantification, et par suite les résonances recherchées. En dimension quelconque, on a construit une solution asymptotique sortante le long de cette courbe, en adaptant la méthode de B. Helffer et J. Sjöstrand pour le fond de puits non résonnant. Une transformation FBI permet ensuite de conjecturer un premier niveau de résonances.
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Baumstark, Simon [Verfasser]. "Uniformly Accurate Methods for Klein-Gordon type Equations / Simon Baumstark." Karlsruhe : KIT-Bibliothek, 2018. http://d-nb.info/1171315880/34.
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