Academic literature on the topic 'Moment map'

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Journal articles on the topic "Moment map"

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Wang, Xiaowei. "Riemannian moment map." Communications in Analysis and Geometry 16, no. 4 (2008): 837–63. http://dx.doi.org/10.4310/cag.2008.v16.n4.a5.

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Donaldson, S. K. "Moment map and diffeomorphisms." Surveys in Differential Geometry 7, no. 1 (2002): 107–27. http://dx.doi.org/10.4310/sdg.2002.v7.n1.a5.

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Guillemin, Victor, and Shlomo Sternberg. "The moment map revisited." Journal of Differential Geometry 69, no. 1 (January 2005): 137–62. http://dx.doi.org/10.4310/jdg/1121540342.

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Zhang, Songyang, Houwen Peng, Jianlong Fu, and Jiebo Luo. "Learning 2D Temporal Adjacent Networks for Moment Localization with Natural Language." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 07 (April 3, 2020): 12870–77. http://dx.doi.org/10.1609/aaai.v34i07.6984.

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We address the problem of retrieving a specific moment from an untrimmed video by a query sentence. This is a challenging problem because a target moment may take place in relations to other temporal moments in the untrimmed video. Existing methods cannot tackle this challenge well since they consider temporal moments individually and neglect the temporal dependencies. In this paper, we model the temporal relations between video moments by a two-dimensional map, where one dimension indicates the starting time of a moment and the other indicates the end time. This 2D temporal map can cover diverse video moments with different lengths, while representing their adjacent relations. Based on the 2D map, we propose a Temporal Adjacent Network (2D-TAN), a single-shot framework for moment localization. It is capable of encoding the adjacent temporal relation, while learning discriminative features for matching video moments with referring expressions. We evaluate the proposed 2D-TAN on three challenging benchmarks, i.e., Charades-STA, ActivityNet Captions, and TACoS, where our 2D-TAN outperforms the state-of-the-art.
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Marian, Alina. "On the Real Moment Map." Mathematical Research Letters 8, no. 6 (2001): 779–88. http://dx.doi.org/10.4310/mrl.2001.v8.n6.a8.

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Heckman, Gert, and Lei Zhao. "Angular momenta of relative equilibrium motions and real moment map geometry." Inventiones mathematicae 205, no. 3 (January 5, 2016): 671–91. http://dx.doi.org/10.1007/s00222-015-0644-2.

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Ferreiro Pérez, Roberto. "Equivariant prequantization and the moment map." Forum Mathematicum 33, no. 3 (February 20, 2021): 593–600. http://dx.doi.org/10.1515/forum-2020-0287.

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Abstract If ω is a closed G-invariant 2-form and μ is a moment map, we obtain necessary and sufficient conditions for equivariant prequantizability that can be computed in terms of the moment map μ. Our main result is that G-equivariant prequantizability is related to the fact that the moment map μ should be quantized for certain vectors on the Lie algebra of G. We also compute the obstructions to lift the action of G to a prequantization bundle of ω. Our results are valid for any compact and connected Lie group G.
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Azad, H. "A remark on the moment map." Proceedings of the American Mathematical Society 121, no. 4 (April 1, 1994): 1295. http://dx.doi.org/10.1090/s0002-9939-1994-1191865-4.

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Heinzner, Peter, and Gerald W. Schwarz. "Cartan decomposition of the moment map." Mathematische Annalen 337, no. 1 (August 1, 2006): 197–232. http://dx.doi.org/10.1007/s00208-006-0032-8.

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Warnick, K. F., and Weng Cho Chew. "Error analysis of the moment method." IEEE Antennas and Propagation Magazine 46, no. 6 (December 2004): 38–53. http://dx.doi.org/10.1109/map.2004.1396735.

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Dissertations / Theses on the topic "Moment map"

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Otto, Michael. "Symplectic convexity theorems and applications to the structure theory of semisimple Lie groups." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1084986339.

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Thesis (Ph. D.)--Ohio State University, 2004.
Title from first page of PDF file. Document formatted into pages; contains v, 88 p. Includes bibliographical references (p. 87-88). Available online via OhioLINK's ETD Center
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Fedosov, Boris. "Non-Abelian reduction in deformation quantization." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2510/.

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We consider a G-invariant star-product algebra A on a symplectic manifold (M,ω) obtained by a canonical construction of deformation quantization. Under assumptions of the classical Marsden-Weinstein theorem we define a reduction of the algebra A with respect to the G-action. The reduced algebra turns out to be isomorphic to a canonical star-product algebra on the reduced phase space B. In other words, we show that the reduction commutes with the canonical G-invariant deformation quantization. A similar statement in the framework of geometric quantization is known as the Guillemin-Sternberg conjecture (by now completely proved).
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Jelének, Marek. "Nepřímé měření momentu na výstupu převodovky zatěžovacího pohonu." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2018. http://www.nusl.cz/ntk/nusl-376913.

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For loading of excavator drive units, it is necessary to use electromechanical loads with a high torque up to 16,000 Nm in a low speed range from 0 to 150 min-1 with a maximum output of 50 kW. The electromechanical load consists of an asynchronous dynamometer assembly with a tilting torque measurement system in conjunction with a front three-speed gearbox. The dynamometer is powered by a converter with vector control. To determine the torque at the gearbox output, a correction must be made and the influence of operating temperature and operating speed must be taken into account. Experimental measurement of these influences and dependencies makes it possible to create a mathematical model that can be implemented in the power converter for torque control at the output of the gearbox. The aim of the master thesis is a brief design of the loading drive, design an implementation of experimental measurement of efficiency maps and evaluation of the influence of inefficiency of gearbox efficiency.
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Roeser, Markus Karl. "The ASD equations in split signature and hypersymplectic geometry." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c.

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This thesis is mainly concerned with the study of hypersymplectic structures in gauge theory. These structures arise via applications of the hypersymplectic quotient construction to the action of the gauge group on certain spaces of connections and Higgs fields. Motivated by Kobayashi-Hitchin correspondences in the case of hyperkähler moduli spaces, we first study the relationship between hypersymplectic, complex and paracomplex quotients in the spirit of Kirwan's work relating Kähler quotients to GIT quotients. We then study dimensional reductions of the ASD equations on $mathbb R^{2,2}$. We discuss a version of twistor theory for hypersymplectic manifolds, which we use to put the ASD equations into Lax form. Next, we study Schmid's equations from the viewpoint of hypersymplectic quotients and examine the local product structure of the moduli space. Then we turn towards the integrability aspects of this system. We deduce various properties of the spectral curve associated to a solution and provide explicit solutions with cyclic symmetry. Hitchin's harmonic map equations are the split signature analogue of the self-duality equations on a Riemann surface, in which case it is known that there is a smooth hyperkähler moduli space. In the case at hand, we cannot expect to obtain a globally well-behaved moduli space. However, we are able to construct a smooth open set of solutions with small Higgs field, on which we then analyse the hypersymplectic geometry. In particular, we exhibit the local product structures and the family of complex structures. This is done by interpreting the equations as describing certain geodesics on the moduli space of unitary connections. Using this picture we relate the degeneracy locus to geodesics with conjugate endpoints. Finally, we present a split signature version of the ADHM construction for so-called split signature instantons on $S^2 imes S^2$, which can be given an interpretation as a hypersymplectic quotient.
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ITAKURA, Fumitada, Kazuya TAKEDA, and Tran Huy DAT. "Gamma Modeling of Speech Power and Its On-Line Estimation for Statistical Speech Enhancement." Institute of Electronics, Information and Communication Engineers, 2006. http://hdl.handle.net/2237/15052.

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Zergane, Amel. "Séparation des représentations des groupes de Lie par des ensembles moments." Thesis, Dijon, 2011. http://www.theses.fr/2011DIJOS086/document.

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Si (π, H) est une représentation unitaire irréductible d'un groupe de Lie G, on sait lui associer son application moment Ψπ. La fermeture de l'image de Ψπ s'appelle l'ensemble moment de π. Généralement, cet ensemble est Conv(Oπ), si Oπ est l'orbite coadjointe associée à π. Mais il ne caractérise pas π : deux orbites distinctes peuvent avoir la même enveloppe convexe fermée. On peut contourner cette non séparation en considérant un surgroupe G+ de G et une application non linéaire ø de g* dans (g+)* telle que, pour les orbites générique, ø(O) est une orbite et Conv (ø(O)) caractérise O. Dans cette thèse, on montre que l'on peut choisir le couple (G+, ø), avec ø de degré ≤ 2 pour tous les groupes nilpotents de dimension ≤ 6, à une exception près, tous les groupes résolubles de dimension ≤ 4, et pour un exemple de groupe de déplacements. Ensuite, on étudie le cas des groupes G = SL(n, R). Pour ces groupes, il existe un tel couple avec ø de degré n, mais il n'en existe pas avec ø de degré 2 si n>2, il n'en existe pas avec ø de degré 3 si n=4. Enfin, on montre que l'application moment Ψπ est celle d'une action fortement hamiltonienne de G sur la variété de Fréchet symplectique PH∞. On construit un foncteur qui associe à tout G un surgroupe de Lie Fréchet G̃, de dimension infinie et, à tout π de G, une action π̃ fortement hamiltonienne, dont l'ensemble moment caractérise π
To a unitary irreducible representation (π,H) of a Lie group G, is associated a moment map Ψπ. The closure of the range of Ψπ is the moment set of π. Generally, this set is Conv(Oπ), if Oπ is the corresponding coadjoint orbit. Unfortunately, it does not characterize π : 2 distincts orbits can have the same closed convex hull. We can overpass this di culty, by considering an overgroup G+ for G and a non linear map ø from g* into (g+)* such that, for generic orbits, ø(O) is an orbit and Conv( ø(O)) characterizes O. In the present thesis, we show that we can choose the pair (G+,ø), with deg ø ≤2 for all the nilpotent groups with dimension ≤6, except one, for all solvable groups with diemnsion ≤4, and for an example of motion group. Then we study the G=SL(n,R) case. For these groups, there exists ø with deg ø =n, if n>2, there is no such ø with deg ø=2, if n=4, there is no such ø with deg ø=3. Finally, we show that the moment map Ψπ is coming from a stronly Hamiltonian G-action on the Frécht symplectic manifold PH∞. We build a functor, which associates to each G an infi nite diemnsional Fréchet-Lie overgroup G̃,and, to each π a strongly Hamiltonian action, whose moment set characterizes π
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Gonçalves, Guilherme Casas. "Rudimentos de mecânica, ações hamiltoneanas e aplicação momento." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-15072015-105721/.

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Essa dissertação trata de geometria simplética e suas aplicações, apresentando conceitos tais como o gradiente simplético e também o teorema de Darboux. Discutimos a formulação Lagrangeana da mecânica, apresentando as equações de Euler-Lagrange e, usando a geometria simplética, mostramos como estes naturalmente evoluem para o formalismo Hamiltoneano e as equações de Hamilton. Introduzimos também o conceito da métrica de Jacobi e demonstramos o teorema de Noether. Apresentamos o conceito de ações simpléticas e Hamiltoneanas, bem como aplicações momento e comomento. São demonstrados resultados importantes como o teorema de Kirillov-Kostant-Sourieau para órbitas coadjuntas e a redução simplética de Marsden-Weinstein-Meyer. Os resultados centrais apresentados são o teorema de Atiyah-Guillemin-Steinberg de convexidade, o teorema de Schur e Horn para matrizes unitárias e o teorema de Delzant, este último sendo apresentado apenas com uma ideia da prova.
This thesis is about symplectic geometry and its applications, presenting concepts such as the symplectic gradient and also Darboux\'s theorem. We discuss the Lagrangian formulation of mechanics, presenting the Euler-Lagrange equations and, using symplectic geometry, show how those naturally evolve into the Hamiltonian formalism and the Hamilton equations. We instroduce also the concept of the Jacobi metrics and prove Noether\'s theorem. We also introduce the concept of symplectic and Hamiltonian actions as well as moment and comoment maps. We prove important results such as the Kirillov-Kostant-Sourieau theorem for coadjoint orbits and the symplectic reduction of Marsden-Weinstein-Meyer. The central results presented are the convexity theorem of Guillemin-Atiyah-Steinberg, the Schur and Horn theorem for unitary matrices and the Delzant theorem, this last one being presented only with an idea of the proof.
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Kjelleryd, Oskar. "Illustrerade klättringsmoment : En studie kring hur man påminner om praktiska moment." Thesis, Mälardalens högskola, Akademin för innovation, design och teknik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-19319.

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I detta arbete har jag undersökt hur man kan tillämpa teorier inom informationsdesign för att gestalta en designlösning som hjälper klättrare att minnas moment från topprepskursen.Svenska klätterförbundet vill utforma ett material med information om klättringsmoment som genomförts under topprepskursen. Materialet ska ges ut till examinerad klättrare i samband med att topprepskursen inomhus avklarats, för att påminna om vad för moment som genomförts under kursen. Tidigare material som ska fylla samma syfte finns tillgängligt men är inte utvecklat för att ges ut i samband med avklarad kurs. En designlösning som utifrån teorier inom informativ bild och kognition har producerats och testats genom öppna observationer. Resultatet i arbetet var att sju av åtta testpersoner i en observation kunde minnas hur ett praktiskt moment skulle utföras utifrån designförslaget.
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OLIVEIRA, Allyson dos Santos. "O Teorama da Convexidade do Mapa do Momento." Universidade Federal de Pernambuco, 2007. https://repositorio.ufpe.br/handle/123456789/7567.

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Made available in DSpace on 2014-06-12T18:33:36Z (GMT). No. of bitstreams: 2 arquivo8717_1.pdf: 683788 bytes, checksum: f2a68fef055bf7afc06e875675d9e54f (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2007
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Nesta dissertação apresentamos o teorema da convexidade de Atiyah-Guillemin-Sternberg sobre a imagem do mapa do momento de uma ação Hamiltoniana de um toro sobre uma variedade simplética compacta e conexa. Este resultado fornece, em certo sentido, uma generalização para o teorema de Schur sobre a relação entre os autovalores e os elementos da diagonal das matrizes Hermitianas. Com essa finalidade, discutimos a estrutura simplética sobre variedades, o conceito de Grupos de Lie e as ações destes grupos sobre tais variedades
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Pierce, Sarah. "'It's time man. It feels imminent' : politics at the moment of exposition." Thesis, Goldsmiths College (University of London), 2015. http://research.gold.ac.uk/11213/.

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This PhD is written in the context of the Curatorial/Knowledge programme at Goldsmiths College. It deals foremost with a conversation between art practice and the curatorial, where a thesis emerges as a consideration of art practice as more than just the work of an artist. In the context of the dissertation, art practice “stages” tensions between official, institutional and situated knowledge and knowledges that are unpredictable, unfixed, and uncontained — tensions that are at the heart of what is meant by “curatorial/knowledge. ” I make a distinction between the exhibition as a bracketed, temporally bound event, and “the moment of exposition” as a fleeting, intimacy that occurs unexpectedly and unintentionally as our exposure to the Other. The moment of exposition involves an exposure that is not necessarily formalised or even actualised in the exhibition, but like the exhibition involves some degree of publicness. A main question of the dissertation asks how regimes of legibility, efficacy, and legitimacy limit inhabitations of the political; and conversely, how remaining at the margins of institution is a way of “being” political. Part of this investigation involves differences between practices, not to be glossed over — differences that are key to the curatorial as a political mode of “being. ” The submission is made up of three main elements that form a textual/theoretical, material/archival work. These are: (1) A dimension of critical writing or dissertation that has two large sections: (a) The Learning Community (b) The Community of the Exhibition (2) Four appendices related to projects that took place in parallel to the writing. (3) An archive, which presents a major component of research in the form of a book project carried out wholly in the context of my doctoral research. Sketches of Universal History Compiled from Many Authors by Sarah Pierce (London: Book Works, 2013) demonstrates a primary analytic situation for the problematics of my research.
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Books on the topic "Moment map"

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Tim, Lebbon, ed. The map of moments. New York, N.Y: Bantam Books, 2009.

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Dyer, Claire. The moment. Rearsby: W F Howes Ltd, 2014.

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Ayckbourn, Alan. Man of the moment. London: Faber and Faber, 1990.

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Yari, Labo. The man of the moment. Enugu, Nigeria: Fourth Dimension, 1992.

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Geometry of Conditional Independence. California, USA: University of California, Berkeley, 2007.

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Muller. Moment Mal! Langenscheidt, 1997.

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Wertenschlag, Lukas, and Edith Slembek. Moment Mal! Langenscheidt, 1998.

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Scherling. Moment Mal! Langenscheidt, 1998.

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Muller. Moment Mal! Langenscheidt, 1997.

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Scherling. Moment Mal. Langenscheidt, 1998.

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Book chapters on the topic "Moment map"

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Mumford, David, John Fogarty, and Frances Kirwan. "The moment map." In Geometric Invariant Theory, 144–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57916-5_9.

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Berndt, Rolf. "The moment map." In Graduate Studies in Mathematics, 93–110. Providence, Rhode Island: American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/026/05.

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Georgoulas, Valentina, Joel W. Robbin, and Dietmar Arno Salamon. "The Moment Map." In The Moment-Weight Inequality and the Hilbert–Mumford Criterion, 7–12. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89300-2_2.

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Georgoulas, Valentina, Joel W. Robbin, and Dietmar Arno Salamon. "The Moment Map Squared." In The Moment-Weight Inequality and the Hilbert–Mumford Criterion, 13–18. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89300-2_3.

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da Silva, Ana Cannas. "Moment Map in Gauge Theory." In Lecture Notes in Mathematics, 183–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-45330-7_25.

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Tian, Gang. "Scalar Curvature as a moment Map." In Canonical Metrics in Kähler Geometry, 35–42. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8389-4_4.

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Atiyah, M. F., and R. Bott. "The Moment Map and Equivariant Cohomology." In Raoul Bott Collected Papers, 241–68. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-2564-5_10.

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Klimčík, C., and P. Ševera. "T-Duality and the Moment Map." In Quantum Fields and Quantum Space Time, 323–29. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1801-7_13.

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Futaki, Akito. "The character f as a moment map." In Lecture Notes in Mathematics, 99–112. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078092.

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Woit, Peter. "Hamiltonian Vector Fields and the Moment Map." In Quantum Theory, Groups and Representations, 199–214. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64612-1_15.

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Conference papers on the topic "Moment map"

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Kaizu, Aki, Yu Morishima, Ikuo Oka, and Shingo Ata. "Moment Analysis of Decision Variables for MAP Decoding." In 2011 20th International Conference on Computer Communications and Networks - ICCCN 2011. IEEE, 2011. http://dx.doi.org/10.1109/icccn.2011.6006012.

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Masuda, Koichi, Tomoki Ikoma, Yasuhiro Aida, Satoshi Hoshino, and Jumpei Takayama. "Development of Tsunami Hazard Map for Supporting Evacuation Guidance in Tsunami." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-42343.

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We developed a tsunami hazard map for supporting evacuation guidance which is intended for government use. The evacuation behavior simulator achieved in making changes in every moment with an analysis that unifies evacuation behavior simulation and tsunami propagation simulation, as this enables the calculation of the difficult evacuation zones. This paper offers a practice case study for Shimizu ward, Shimizu city, Shizuoka prefecture, in Japan. The difficult evacuation zone was around Yokosuna-nishi-machi in the northwest part of the study site. The simulation conditions included walking speed and evacuation direction, which was verified for this difficult evacuation zone. This is effective for evacuation toward inland, especially elevated ground which doesn’t become inundated by tsunami. In this paper, the results of simulations were reflected in a hazard map. Then we propose the hazard map as intended for the government, for supporting evacuation guidance in a tsunami.
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Bhargav, Santosh D. B., Harish I. Varma, and G. K. Ananthasuresh. "Non-Dimensional Kinetoelastostatic Maps for Compliant Mechanisms." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12178.

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How do we assess the capability of a compliant mechanism of given topology and shape? The kinetoelastostatic maps proposed in this paper help answer this question. These maps are drawn in 2D using two non-dimensional quantities, one capturing the nonlinear static response and the other the geometry, material, and applied forces. Geometrically nonlinear finite element analysis is used to create the maps for compliant mechanisms consisting of slender beams. In addition to the topology and shape, the overall proportions and the proportions of the cross-sections of the beam segments are kept fixed for a map. The finite region of the map is parameterized using a non-dimensional quantity defined as the slenderness ratio. The shape and size of the map and the parameterized curves inside it indicate the complete kinetoelastostatic capability of the corresponding compliant mechanism of given topology, shape, and fixed proportions. Static responses considered in this paper include input/output displacement, geometric amplification, mechanical advantage, maximum stress, etc. The maps can be used to compare mechanisms, to choose a suitable mechanism for an application, or re-design as may be needed. The usefulness of the non-dimensional maps is presented with multiple applications of different variety. Non-dimensional portrayal of snap-through mechanisms is one such example. The effect of the shape of the cross-section of the beam segments and the role of different segments in the mechanism as well as extension to 3D compliant mechanisms, the cases of multiple inputs and outputs, and moment loads are also explained. The effects of disproportionate changes on the maps are also analyzed.
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Massad, Jordan E., Pavel M. Chaplya, Jeffrey W. Martin, Philip L. Reu, and Hartono Sumali. "Nonlinear Deflection Model for Corner-Supported, Thin Laminates Shape-Controlled With Moment Actuators." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43069.

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The shape control of thin, flexible structures has been studied primarily for edge-supported thin-plates. For applications such as electromagnetic wave reflectors, corner-supported configurations may prove more applicable since they allow for greater flexibility and larger achievable deflections when compared to edge-supported geometries under similar actuation conditions. Models of such structures provide insight for effective, realizable designs, enable design optimization, and provide a means of active shape control. Models for small deformations of corner-supported, thin laminates actuated by integrated piezoelectric actuators have been developed. However, membrane deflections expected for nominal actuation exceed those stipulated by linear, small deflection theories. In addition, large deflection models have been developed for membranes; however these models are not formulated for shape control. This paper extends a previously-developed linear model for a corner-supported thin, rectangular laminate to a more general large deflection model for a clamped-corner laminate composed of moment actuators and an array of actuating electrodes. First, a nonlinear model determining the deflected shape of a laminate given a distribution of actuation voltages is derived. Second, a technique is employed to formulate the model as a map between input voltage and deflection alone, making it suitable for shape control. Finally, comparisons of simulated deflections with measured deflections of a fabricated active laminate are investigated.
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Vyas, Reeta, and Surendra Singh. "Photon statistics of a nondegenerate optical parametric oscillator." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.tujj3.

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Photon statistics of light produced by a nondegenerate optical parametric oscillator operating below threshold are calculated. Positive-P representation is used to map quantum dynamics onto a set of classical Langevin equations for the complex field amplitudes associated with the annihilation and creation operators for the field produced by the oscillator. Using a Karhunen Loeve expansion of the resulting stochastic processes the moment generating function for photon counting statistics is obtained.
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Rodríguez, C., D. Sánchez, R. Chacartegui, A. Muñoz, and G. S. Martínez. "Compressor Fouling: A Comparison of Different Fault Distributions Using a “Stage-Stacking” Technique." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94010.

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This work compares different approaches (i.e. fault distribution patterns) that aim to explain how a gas turbine compressor gets fouled and how its corresponding performance map deteriorates. To do so, a series of such maps is first developed based on an updated “stage-stacking” methodology. Then, the maps so developed are affected by fouling using the aforementioned approaches. The results evidence that the lack of consensus with respect to how fouling proceeds is bond to yield engine performances that differ by large. In other words, there is still a lot of work to be done if a general approach to anticipate the quantity and quality of compressor fouling is to be developed. For the moment, all the systematic analyses are specific to the particular site where they have been applied and hence have no generality that can be extended elsewhere. Moreover, the methodologies available allow that a fouled compressor be identified and the distribution be predicted a posteriori by means of adaptive modelling and compressor zooming utilising measurements from the whole engine or by using compressor specific measurements.
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Герцен, Андрей. "Средневековые фортификации Северо-Западного Причерноморья в атласе Рицци-Дзаннони." In Cercetarea și valorificarea patrimoniului arheologic medieval. "Ion Creanga" State Pedagogical University, 2022. http://dx.doi.org/10.37710/idn-c12-2022-89-101.

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Unique maps of the atlas of Poland compiled by G.A.B. Rizzi-Zannoni in the middle of the 18th century and published in early 1772 are important scientific sources. The atlas contains detailed information on the historical geography of the Northern and North-Western Black Sea region. Of particular importance is the unique map of Moldavia and the territories adjacent to it (the 23rd, as well as the 22nd and 24th sheets of the atlas), compiled based on earlier sources – the rich cartographic materials of the predecessors (G.L. Beauplan, D.K. Cantemir and others), and first of all, the works of the cartographers of the Ottoman Empire, which flourished in the 15th – 17th centuries, have not yet been identified or studied. The work of Rizzi-Zannoni is a reproduction of the oldest (found at the moment) topographic map of the North-Western Black Sea region, reflecting the geographical picture no later than the first half of the 16th – second half of the 17th centuries. Current and further study of the fortifications (castles, fortresses and other fortifications) marked on the maps of Rizzi-Zannoni and representing the most important complexes and objects of historical and cultural heritage are impossible without the involvement of the author’s unique information. Descriptions and reconstructions of fortifications that ignore topography and other details reported by this unique source are a priori incomplete or may even be erroneous. The historic-geographical information recorded on the Rizzi-Zannoni maps is of enormous multidisciplinary and interdisciplinary significance. Its consideration is important for modern and future studies of geography, history, archaeology, architecture, culture, art, ethnography, linguistics, the toponymy of the region as a whole and each heritage site.
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Esparza, Isaac, and Jeffrey Falzarano. "Nonlinear Rolling Motion of a Statically Biased Ship Under the Effect of External and Parametric Excitation." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0097.

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Abstract In this work, global analysis of ship rolling motion as effected by parametric excitation is studied. The parametric excitation results from the roll restoring moment variation as a wave train passes. In addition to the parametric excitation, an external periodic wave excitation and steady wind bias are also included in the analysis. The roll motion is the most critical motion for a ship because of the possibility of capsizing. The boundaries in the Poincaré map which separate initial conditions which eventually evolve to bounded steady state solutions and those which lead to unbounded capsizing motion are studied. The changes in these boundaries or manifolds as effected by changes in the ship and environmental conditions are analyzed. The region in the Poincaré map which lead to bounded steady state motions is called the safe basin. The size of this safe basin is a measure of the vessel’s resistance to capsizing.
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Chiang, Hsiao-Wei D., Chih-Neng Hsu, Wes Jeng, Shun-Hsu Tu, and Wei-Chen Li. "A Microturbine Rotor-Bearing System Analysis." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30316.

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A microturbine of 12-pound thrust was developed for the Unmanned Aerial Vehicle (UAV) applications. Recent tests of the microturbines reveal problems associated with rear ball bearing integrity after extended run times. The microturbine rotor design originally calls for a critical speed margin of at least 15∼20% to prevent excessive vibrations. However, the microturbine was using an existing turbocharger rotor component with unknown margins. Therefore, the purpose of this paper is to perform both theoretical and experimental analyses of the dynamic characteristics of the 12-pound thrust microturbine rotor-bearing system. This rotor-bearing system analyses will start with a finite element (FEM) rotor-bearing system dynamic model, then using modal testing and dynamic engine test to verify the analysis results including critical speed map and bearing stiffness. In this paper, the rotor-bearing system dynamic model will be established under an inertia coordinate system. Through finite element method, this model can be used to predict natural frequencies, critical speed map, and bearing stiffness. Also, under free-free condition, a modal testing will be performed, and its results are used to compare with the FEM model. Then the gyroscopic moment effects are included in the FEM model to calculate the critical speed map. Finally the critical speed map is used to compare with the results of the dynamic experiments of the 12-pound thrust microturbine engine and the bearing stiffness is estimated through an optimization approach. Examination of the microturbine engine and recent product developments indicate that thrust performance and engine life goals can be improved to upgrade the present design. With the rotor-bearing system analysis, the goal of increasing the current engine life and improved performance is sought as a practical goal for the microturbine design.
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Kim, SooYong, JunYoung Park, and Victor L. Goldenberg. "Investigation of Transient Performance of an Auxiliary Power Unit Microturbine Engine." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90594.

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Prevention of compressor surge is one of the most important tasks in operation of gas turbine engine. The easiest way to see the phenomena is to show the static and dynamic operation characteristic on the map. Its operation zone will be restricted by the surge limit and, static and transient process must have some margin for it. Surge margin of a static regime is normally chosen during its design stage. Safe operation during part load condition without facing the surge is an indispensable task for control system design and a swift response from the engine is required to avoid it. Effect of rotor moment of inertia, air/gas volumes and heat transfer are factors to cause the transition from the static line. In case a large volume such as heat exchanger exists in the system it will exert a substantial influence to dynamic characteristics. In the present paper, influence of air volume bled from the compressor exit on transient process is investigated with an example of an auxiliary power unit micro-turbine engine. A typical compressor characteristic with scaling was used for the calculation. Turbine mass, pressure ratio, rotation speed, power and moment are calculated based on mass and work conservation. Result from the present study can give a guidance to design the control system. A computer program is developed to calculate the dynamic process using the MathCAD commercial software. Air volume is changed from 0.02 to 6 m3.
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Reports on the topic "Moment map"

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Weissmann, Mikael. Guide till praktisk examination av praktiska moment: Konstruktiv länkning i praktiken i utbildningen av kadetter och officerare. Swedish Defence University, 2024. http://dx.doi.org/10.62061/slep1008.

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Denna guide presenterar en modell som integrerar lärandemål med praktiska läraktiviteter och praktisk examination i utbildningen av kadetter och officerare inom ramen för högskoleutbildning. Syftet är att visa hur man kan uppnå konstruktiv länkning i praktiken vid examination av praktiska moment i utbildningen av kadetter och officerare, utan att äventyra de krav på rättssäkerhet som högskoleexamination ställer, samtidigt som utbildningsmål, pedagogiska aktiviteter och utvärderingsmetoder sammankopplas. Därigenom kan praktisk examination av praktiska moment skräddarsys för de militära yrkenas dynamiska och praktiska karaktär.
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Cardona, William Andrés, Jorge Enrique Cardona Cardona, Jorge Alberto Valencia Montoya, Martha Marina Bolaños Benavides, and Jefersson Andrés Rodríguez Blandón. Prácticas culturales: manejo de arvenses. Corporación colombiana de investigación agropecuaria - AGROSAVIA, 2021. http://dx.doi.org/10.21930/agrosavia.infografia.2021.13.

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Bolton, Laura. Key Global Policy Dates and Engagement Opportunities for the Covid Collective. Institute of Development Studies (IDS), March 2021. http://dx.doi.org/10.19088/cc.2021.004.

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Map key international and national days, events, moments relating to Covid-19 (e.g. health, socio-economic, inclusion impacts) to inform Covid Collective’s schedule of publications and activities. Mapping should include: - UN/international days; - Global events, e.g. COP 26; - National days/key events in Covid Collective countries; - Key milestones, anniversaries tied to the pandemic.
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Goulet, Christine, Yousef Bozorgnia, Nicolas Kuehn, Linda Al Atik, Robert Youngs, Robert Graves, and Gail Atkinson. NGA-East Ground-Motion Models for the U.S. Geological Survey National Seismic Hazard Maps. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, March 2017. http://dx.doi.org/10.55461/qozj4825.

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The purpose of this report is to provide a set of ground motion models (GMMs) to be considered by the U.S. Geological Survey (USGS) for their National Seismic Hazard Maps (NSHMs) for the Central and Eastern U.S. (CEUS). These interim GMMs are adjusted and modified from a set of preliminary models developed as part of the Next Generation Attenuation for Central and Eastern North-America (CENA) project (NGA-East). The NGA-East objective was to develop a new ground-motion characterization (GMC) model for the CENA region. The GMC model consists of a set of GMMs for median and standard deviation of ground motions and their associated weights in the logic-tree for use in probabilistic seismic hazard analysis (PSHA). NGA-East is a large multidisciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER), at the University of California, Berkeley. The project has two components: (1) a set of scientific research tasks, and (2) a model-building component following the framework of the “Seismic Senior Hazard Analysis Committee (SSHAC) Level 3” [Budnitz et al. 1997; NRC 2012]. Component (2) is built on the scientific results of component (1) of the NGA-East Project. This report does not document the final NGA-East model under (2), but instead presents interim GMMs for use in the U.S. Geological Survey (USGS) National Seismic Hazard Maps. Under component (1) of NGA-East, several scientific issues were addressed, including: (a) development of a new database of empirical data recorded in CENA; (b) development of a regionalized ground-motion map for CENA, (c) definition of the reference site condition; (d) simulations of ground motions based on different methodologies, (e) development of numerous GMMs for CENA, and (f) the development of the current report. The scientific tasks of NGA- East were all documented as a series of PEER reports. This report documents the GMMs recommended by the authors for consideration by the USGS for their NSHM. The report documents the key elements involved in the development of the proposed GMMs and summarizes the median and aleatory models for ground motions along with their recommended weights. The models presented here build on the work from the authors and aim to globally represent the epistemic uncertainty in ground motions for CENA. The NGA-East models for the USGS NSHMs includes a set of 13 GMMs defined for 25 ground-motion intensity measures, applicable to CENA in the moment magnitude range of 4.0 to 8.2 and covering distances up to 1500 km. Standard deviation models are also provided for general PSHA applications (ergodic standard deviation). Adjustment factors are provided for hazard computations involving the Gulf Coast region.
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Marle, Charles-Michel. Symmetries of Hamiltonian Dynamical Systems, Momentum Maps and Reductions. GIQ, 2014. http://dx.doi.org/10.7546/giq-15-2014-11-52.

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Schmidt, F., P. Skowronski, V. Lebedev, and A. Valishev. Higher Order Dispersion and Momentum Compaction in MAD-X/PTC using NormalForm. Office of Scientific and Technical Information (OSTI), December 2017. http://dx.doi.org/10.2172/1480098.

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Cohen, Yves. Horizontality in the 2010s: Social Movements, Collective Activities, Social Fabric, and Conviviality. Maria Sibylla Merian Centre Conviviality-Inequality in Latin America, October 2021. http://dx.doi.org/10.46877/cohen.2021.40.

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Horizontality is a salient social phenomenon of the last decade. It asserts itself against hierarchies in social movements and countless other collective practices around the world. It constitutes a characteristic of an emergent sociality that demands the attention of the social sciences. The 2010s are a moment as important as “the Sixties”, a time when Ivan Illich called for the development of tools of conviviality, and horizontality may be categorized as one of them. Today’s horizontality may be related to that of populations that have been the focus of anthropologists interested in their longstanding propensity to work against the affirmation of the authority of commanding. Public squares, roundabouts, and the courtyards of apartment buildings welcome the early symptoms of democratic experimentation that circulates also among groups, collectivities, and associations with varied purposes. In all these places, equality asserts itself and cuts across differences. The Yellow Vests and an educational cooperative in São Paulo are the empirical foundation of this study.
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Bent, A. L., and P. Voss. Seismicity in the Labrador-Baffin Seaway and surrounding onshore regions. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/321857.

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Studying earthquakes in Baffin Bay and the surrounding regions is challenging. There is no knowledge of earthquake activity in this region prior to 1933 when a moment magnitude (MW) 7.4 earthquake occurred in Baffin Bay. With improved instrumentation, increased seismograph coverage in the north, and modern analysis techniques, knowledge and understanding of earthquakes in the Baffin region is improving. Active seismic zones include Baffin Bay, the east coast of Baffin Island, and the Labrador Sea, separated by areas of low seismicity. Focal-mechanism solutions show a mix of faulting styles, predominantly strike-slip and thrust. Regional stress-axes orientations show more consistency, which suggests that activity is occurring on previously existing structures in response to the current stress field. There is little correlation between earthquake epicentres in Baffin Bay and mapped structures. Glacial isostatic adjustment may be a triggering mechanism for earthquakes in the Baffin region, but modelling efforts have yielded equivocal results.
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Goulet, Christine, Yousef Bozorgnia, Norman Abrahamson, Nicolas Kuehn, Linda Al Atik, Robert Youngs, Robert Graves, and Gail Atkinson. Central and Eastern North America Ground-Motion Characterization - NGA-East Final Report. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, December 2018. http://dx.doi.org/10.55461/wdwr4082.

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This document is the final project report of the Next Generation Attenuation for Central and Eastern North America (CENA) project (NGA-East). The NGA-East objective was to develop a new ground-motion characterization (GMC) model for the CENA region. The GMC model consists of a set of new ground-motion models (GMMs) for median and standard deviation of ground motions and their associated weights to be used with logic-trees in probabilistic seismic hazard analyses (PSHA). NGA-East is a large multidisciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER), at the University of California. The project has two components: (1) a set of scientific research tasks, and (2) a model-building component following the framework of the “Seismic Senior Hazard Analysis Committee (SSHAC) Level 3” (Budnitz et al. 1997; NRC 2012). Component (2) is built on the scientific results of component (1) of the NGA-East project. This report documents the tasks under component (2) of the project. Under component (1) of NGA-East, several scientific issues were addressed, including: (a) development of a new database of ground motion data recorded in CENA; (b) development of a regionalized ground-motion map for CENA, (c) definition of the reference site condition; (d) simulations of ground motions based on different methodologies; and (e) development of numerous GMMs for CENA. The scientific tasks of NGA-East were all documented as a series of PEER reports. The scope of component (2) of NGA-East was to develop the complete GMC. This component was designed as a SSHAC Level 3 study with the goal of capturing the ground motions’ center, body, and range of the technically defensible interpretations in light of the available data and models. The SSHAC process involves four key tasks: evaluation, integration, formal review by the Participatory Peer Review Panel (PPRP), and documentation (this report). Key tasks documented in this report include review and evaluation of the empirical ground- motion database, the regionalization of ground motions, and screening sets of candidate GMMs. These are followed by the development of new median and standard deviation GMMs, the development of new analyses tools for quantifying the epistemic uncertainty in ground motions, and the documentation of implementation guidelines of the complete GMC for PSHA computations. Appendices include further documentation of the relevant SSHAC process and additional supporting technical documentation of numerous sensitivity analyses results. The PEER reports documenting component (1) of NGA-East are also considered “attachments” to the current report and are all available online on the PEER website (https://peer.berkeley.edu/). The final NGA-East GMC model includes a set of 17 GMMs defined for 24 ground-motion intensity measures, applicable to CENA in the moment magnitude range of 4.0 to 8.2 and covering distances up to 1500 km. Standard deviation models are also provided for site-specific analysis (single-station standard deviation) and for general PSHA applications (ergodic standard deviation). Adjustment factors are provided for consideration of source-depth effects and hanging-wall effects, as well as for hazard computations at sites in the Gulf Coast region.
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Bryndum. L51854 Integrity Assessment Models-Software for Exposed and Unburied Pipelines in River Channels. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), February 2000. http://dx.doi.org/10.55274/r0011225.

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This guideline and its associated software River-X present a methodology for the assessment of pipeline integrity under hydrodynamic loads and impact loads from floating or moving debris in the river. The software provides a numerical tool with a user-friendly interface for assessing the risk of pipeline failure following the principles outlined in this guideline. The River-X simulates sections of exposed pipeline including the anchoring in the embankment and plastic material behavior for 2 basically different scenarios; an exposed pipeline on/in riverbed and a free spanning pipeline. A quasi-static analysis of the pipeline exposed to the river-flow is carried out in both situations where the main outcome is maximum values of plastic strain, stress, displacement, bending moment and tension. These values are held up against an acceptance criterion. The maximum allowable impact mass of debris moving with the speed of the river current in combination with the hydrodynamic load is determined. Further, if the exposed pipeline is free spanning a fatigue analysis is performed for a given distribution of river discharge over the year. An example of the use of River-X may be found in the user guide.
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