Academic literature on the topic 'Lie symmetries'

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Journal articles on the topic "Lie symmetries"

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Leach, P. G. L. "Lie symmetries and Noether symmetries." Applicable Analysis and Discrete Mathematics 6, no. 2 (2012): 238–46. http://dx.doi.org/10.2298/aadm120625015l.

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We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associated of a differential equation derived from a Lagrangian are in fact noetherian. The source of the misunderstanding lies in the nonuniqueness of the Lagrangian.
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Nucci, M. C. "Lie symmetries of a Painlevé-type equation without Lie symmetries." Journal of Nonlinear Mathematical Physics 15, no. 2 (2008): 205–11. http://dx.doi.org/10.2991/jnmp.2008.15.2.7.

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Catuogno, Pedro José, and Luis Roberto Lucinger. "Random Lie-point symmetries." Journal of Nonlinear Mathematical Physics 21, no. 2 (2014): 149–65. http://dx.doi.org/10.1080/14029251.2014.900984.

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Nucci, M. C., and S. Post. "Lie symmetries and superintegrability." Journal of Physics A: Mathematical and Theoretical 45, no. 48 (2012): 482001. http://dx.doi.org/10.1088/1751-8113/45/48/482001.

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Sen, Tanaji. "Lie symmetries and integrability." Physics Letters A 122, no. 6-7 (1987): 327–30. http://dx.doi.org/10.1016/0375-9601(87)90835-8.

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Asghar, Nimra Sher, Kinza Iftikhar, and Tooba Feroze. "The Mei Symmetries for the Lagrangian Corresponding to the Schwarzschild Metric and the Kerr Black Hole Metric." Symmetry 14, no. 10 (2022): 2079. http://dx.doi.org/10.3390/sym14102079.

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In this paper, the Mei symmetries for the Lagrangians corresponding to the spherically and axially symmetric metrics are investigated. For this purpose, the Schwarzschild and Kerr black hole metrics are considered. Using the Mei symmetries criterion, we obtained four Mei symmetries for the Lagrangian of Schwarzschild and Kerr black hole metrics. The results reveal that, in the case of the Schwarzschild metric, the obtained Mei symmetries are a subset of the Lie point symmetries of equations of motion (geodesic equations), while in the case of the Kerr black hole metric, the Noether symmetry se
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Wang, Jianping, Huijing Ba, Yaru Liu, Longqi He, and Lina Ji. "Second-Order Conditional Lie-Bäcklund Symmetry and Differential Constraint of Radially Symmetric Diffusion System." Advances in Mathematical Physics 2021 (January 15, 2021): 1–17. http://dx.doi.org/10.1155/2021/8891750.

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The classifications and reductions of radially symmetric diffusion system are studied due to the conditional Lie-Bäcklund symmetry method. We obtain the invariant condition, which is the so-called determining system and under which the radially symmetric diffusion system admits second-order conditional Lie-Bäcklund symmetries. The governing systems and the admitted second-order conditional Lie-Bäcklund symmetries are identified by solving the nonlinear determining system. Exact solutions of the resulting systems are constructed due to the compatibility of the original system and the admitted d
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Nikitin, Anatolii. "Non-Lie Symmetries and Supersymmetries." Journal of Nonlinear Mathematical Physics 2, no. 3-4 (1995): 405–15. http://dx.doi.org/10.2991/jnmp.1995.2.3-4.21.

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Gazizov, Rafail K. "Lie Algebras of Approximate Symmetries." Journal of Nonlinear Mathematical Physics 3, no. 1-2 (1996): 96–101. http://dx.doi.org/10.2991/jnmp.1996.3.1-2.9.

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Tempesta, P. "Lie Symmetries and Weak Transversality." Theoretical and Mathematical Physics 137, no. 2 (2003): 1609–21. http://dx.doi.org/10.1023/a:1027326322183.

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Dissertations / Theses on the topic "Lie symmetries"

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Bertoni, Federico <1994&gt. "Lie symmetries in cortical inspired CNNs." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2022. http://amsdottorato.unibo.it/10098/1/Tesi_consegna_unibo_finale.pdf.

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Our scope in this thesis is to propose architectures of CNNs in such a way to model the early visual pathway, including the Lateral Geniculate Nucleus and the Horizontal Connectivity of the primary visual cortex. Moreover, we will show how cortically inspired architectures allow to perform contrast perceptual invariance as well as grouping and the emergence of visual percepts. Particularly, the LGN is modeled with a first layer l0 containing a single filter Ψ0 that pre-filters the image I. Since the RPs of the LGN cells can be modeled as a LoG, we expect to obtain a radially symmetric filter w
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Butcher, John Dudley, and mikewood@deakin edu au. "Lie symmetries of partial differential equations using symbolic computing." Deakin University. School of Information Technology, 2004. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20051110.123208.

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This study presents a theoretical basis for and outlines the method of finding the Lie point symmetries of systems of partial differential equations. It seeks to determine which of five computer algebra packages is best at finding these symmetries. The chosen packages are LIEPDE and DIMSYM for REDUCE, LIE and BIGLIE for MUMATH, DESOLV for MAPLE, and MATHLIE for MATHEMATICA. This work concludes that while all of the computer packages are useful, DESOLV appears to be the most successful system at determining the complete set of Lie symmetries. Also, the study describes REDUCEVAR, a new package f
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Almeida, Luis Roberto Lucinger de 1983. "Simetrias de Lie estocásticas." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306332.

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Orientador: Pedro José Catuogno<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-20T05:04:07Z (GMT). No. of bitstreams: 1 Almeida_LuisRobertoLucingerde_D.pdf: 4124910 bytes, checksum: 249249a4a4959e28b63a5f2e7290a5fe (MD5) Previous issue date: 2012<br>Resumo: Nesta tese, estudamos equações diferenciais estocásticas, sob o ponto de vista da teoria das simetrias de Lie. Introduzimos o conceito de simetria de Lie estocástica, que consiste em uma ação que mantém invariante as soluções de u
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Steele, John D. "Symmetries in general relativity." Thesis, University of Aberdeen, 1989. http://digitool.abdn.ac.uk/R?func=search-advanced-go&find_code1=WSN&request1=AAIU498554.

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The purpose of this thesis is to study those non-flat space-times in General Relativity admitting high dimensional Lie groups of motions, homotheties, conformals and affines, and to prove a theorem on the relationship between the first three of these. The basic theories and notations of differential geometry are set up first, and a useful theorem on first-order partial differential equations is proved. The concepts of General Relativity are introduced, space-times are defined and a brief account of the well-known Petrov and Segre classifications is given. The interplay between these classifica
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Petersen, Willis L. "The Lie Symmetries of a Few Classes of Harmonic Functions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd837.pdf.

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Lindman, Hornlund Josef. "Sigma-models and Lie group symmetries in theories of gravity." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209911.

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En utilisant des modèles sigma non-linéaires de fonctions d'un espace-temps D-dimensionnel à un espace symétrique G/H, nous discutons de solutions de type trou noir et membrane noire dans diverses théories de gravité supersymétriques. Un espace symétrique est une variété, riemannienne ou pseudo-riemannienne, pour laquelle le tenseur de Riemann est covariantement constant. L'utilisation du dictionnaire Kac-Moody/supergravité et les techniques de réduction dimensionnelles nous permettent de décrire des trous noirs de cohomogénéité un comme des géodésiques sur G/H. Un espace-temps M, potentiellem
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Lawrence, Tom Russell. "The geometry of lie algebras and broken SO(6) symmetries." Thesis, University of Southampton, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.392664.

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Lu, Yixia. "Painleve Analysis, Lie Symmetries and Integrability of Nonlinear Ordinary Differential Equations." Diss., Tucson, Arizona : University of Arizona, 2005. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu%5Fetd%5F1103%5F1%5Fm.pdf&type=application/pdf.

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Silva, Junior Valter Aparecido 1989. "Soluções do problema de Liouville-Gelfand via grupos de Lie." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306723.

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Orientador: Yuri Dimitrov Bozhkov<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-27T01:04:06Z (GMT). No. of bitstreams: 1 SilvaJunior_ValterAparecido_M.pdf: 1356319 bytes, checksum: e64224c844e48a46487c6d387ec0f3e7 (MD5) Previous issue date: 2015<br>Resumo: Nesta dissertação, obteremos as soluções exatas do Problema de Liouville-Gelfand (em uma e em duas dimensões) via grupos de Lie de simetrias<br>Abstract: In this dissertation, we shall obtain the exact solutions of the Liouvi
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Khamitova, Raisa. "Symmetries and conservation laws." Doctoral thesis, Växjö : Växjö University Press, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-2587.

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Books on the topic "Lie symmetries"

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Euler, Norbert. Continuous symmetries, Lie algebras, and differential equations. BI Wissenschaftsverlag, 1992.

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Steeb, W. H. Continuous symmetries, Lie algebras, differential equations, and computer algebra. World Scientific, 1996.

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Steeb, W. H. Continuous symmetries, Lie algebras, differential equations, and computer algebra. 2nd ed. World Scientific, 2007.

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Jürgen, Fuchs. Symmetries, lie algebras and representations: A graduate course for physicists. Cambridge University Press, 1997.

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Jürgen, Fuchs. Symmetries, lie algebras and representations: A graduate course for physicists. Cambridge University Press, 2003.

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Bluman, George W. Symmetries and differential equations. 2nd ed. Springer, 1996.

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Bluman, George W. Symmetries and differential equations. Springer-Verlag, 1989.

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Varadarajan, V. S. Reflections on quanta, symmetries, and supersymmetries. Springer, 2011.

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Ibragimov, Nail H. Selected works: MSc and PhD theses. Nonlocal symmetries, Approximate symmetries, Preliminary group classification, Lie group analysis - a microscope of mathematical modelling. ALGA Publications, 2006.

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Ibragimov, Nail H. Selected works: Doctor of science thesis. Approximate symmetries. Lie groups in mathematical modelling. ALGA Publications, 2008.

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Book chapters on the topic "Lie symmetries"

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Kosmann-Schwarzbach, Pr Yvette, and Stephanie Frank Singer. "Lie Groups and Lie Algebras." In Groups and Symmetries. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-78866-1_4.

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Kosmann-Schwarzbach, Yvette. "Lie Groups and Lie Algebras." In Groups and Symmetries. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94360-8_4.

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Crampin, Mike, and David Saunders. "Lie Groupoids and Lie Algebroids." In Cartan Geometries and their Symmetries. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-192-5_1.

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Markoutsakis, Manousos. "Lie Algebras." In Geometry, Symmetries, and Classical Physics. CRC Press, 2021. http://dx.doi.org/10.1201/9781003087748-8.

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Markoutsakis, Manousos. "Lie Groups." In Geometry, Symmetries, and Classical Physics. CRC Press, 2021. http://dx.doi.org/10.1201/9781003087748-7.

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Franz, U., and B. Gruber. "Generalized Lie Algebras." In Symmetries in Science VI. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1219-0_21.

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Crampin, Mike, and David Saunders. "Connections on Lie Groupoids and Lie Algebroids." In Cartan Geometries and their Symmetries. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-192-5_2.

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Ruzhansky, Michael, and Ville Turunen. "Linear Lie Groups." In Pseudo-Differential Operators and Symmetries. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8514-9_13.

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Gragert, P. K. H. "Lie Algebra Computations." In Symmetries of Partial Differential Equations. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-1948-8_16.

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Wybourne, B. G. "Calculating Properties of Lie Groups." In Symmetries in Science III. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0787-7_42.

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Conference papers on the topic "Lie symmetries"

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Romero-Pérez, Julio-Ariel, Roberto Sanchis-Llopis, Oscar Miguel-Escrig, and José-María Martín-Algarra. "Characterization of Limit Cycles in Symmetric-Send-on-Delta Based Control Systems. A Describing Function Approach." In 2024 IEEE 3rd Industrial Electronics Society Annual On-Line Conference (ONCON). IEEE, 2024. https://doi.org/10.1109/oncon62778.2024.10931688.

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Lei, Dangyuan. "Electromagnetic Asymmetry, Quantum Conductivity and Optical Magnetism for Nonlinear Plasmonics." In JSAP-Optica Joint Symposia. Optica Publishing Group, 2024. https://doi.org/10.1364/jsapo.2024.16a_b4_1.

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In general, symmetric plasmonic nanocavities, such as a pair of two closely spaced metal nanospheres of the same size and constituting material, support only symmetry-allowed bright modes under light illumination. Breaking the cavity symmetry introduces mode hybridization between its bright and dark modes, leading to new plasmon modes like Fano resonance and bound states in the continuum.
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LEVI, D. "LIE SYMMETRIES FOR LATTICE EQUATIONS." In Proceedings of the ICM2002 Satellite Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795366_0008.

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OLIVER, F., G. MANNO, and R. VITOLO. "DIFFERENTIAL EQUATIONS AND LIE SYMMETRIES." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0063.

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Basquerotto, Cláudio, Adrián Ruiz Servan, João Trentin, Samuel da Silva, and Hans Ingo Weber. "Lie Symmetries for the Spinning Top." In XIX International Symposium on Dynamic Problems of Mechanics. ABCM, 2023. http://dx.doi.org/10.26678/abcm.diname2023.din2023-0060.

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Menini, L., and A. Tornambe. "Analytic linearization of PDE's through Lie symmetries." In 2012 American Control Conference - ACC 2012. IEEE, 2012. http://dx.doi.org/10.1109/acc.2012.6314899.

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MORANDO, P. "VARIATIONAL λ-SYMMETRIES AND DEFORMED LIE DERIVATIVE". У Proceedings of the International Conference on SPT 2007. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812776174_0017.

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Muriel, C., J. L. Romero, and A. Ruiz. "Integration methods for equations without enough Lie point symmetries." In MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5125078.

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Gerdt, V. P., N. V. Khutornoy, and A. Yu Zjarkov. "Lie-Bäcklund symmetries of coupled nonlinear Schrödinger equations." In the 1991 international symposium. ACM Press, 1991. http://dx.doi.org/10.1145/120694.120742.

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Chong, Kam Yoon, and John G. O’Hara. "Lie symmetry analysis of a fractional Black-Scholes equation." In MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (Symmetry 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5125072.

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Reports on the topic "Lie symmetries"

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O'Rourke, Patrick, and Scott Ramsey. Lectures on Lie Group Analysis: Solving Differential Equations Using Symmetries. Office of Scientific and Technical Information (OSTI), 2024. http://dx.doi.org/10.2172/2447587.

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Elman, Brandon Alexander, Joseph H. Schmidt, and Scott D. Ramsey. The Discrete Ordinates (SN) Method and Lie Symmetries. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1463577.

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Juras, Martin. Variational Symmetries and Lie Reduction for Frobenius Systems of Even Rank. GIQ, 2012. http://dx.doi.org/10.7546/giq-4-2003-178-192.

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Pulov,, Vladimir, and Ivan Uzunov. • Finding Lie Symmetries of Partial Differential Equations with MATHEMATICA®: Applications to Nonlinear Fiber Optics. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-280-291.

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Rincón-Torres, Andrey Duván, Andrés Felipe Salas-Ávila, and Juan Manuel Julio-Román. Inflation Expectations: Rationality, Disagreement and the Role of the Loss Function in Colombia. Banco de la República, 2023. http://dx.doi.org/10.32468/be.1262.

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We study the behaviour of three quantitative sample surveys and a non sample inflation expectation report for Colombia. We found that expectations in Colombia; (i) are not strongly, i.e. a la Muth, rational because they show cross-section disagreement, (ii) expectations, however, show some features of weak rationality, (iii) expectations disagreement is time varying and relate to inflation, inflation changes and the output gap, thus suggesting a staggered information flow to agents, (iv) the forecast error loss function employed by agents is not symmetric and increasingly penalizes higher expe
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Xing, Ying, Hongping Liu, Yifei Wang, and Tiancai Wen. Effects of acupuncture on pain in diabetic peripheral neuropathy: a systematic review and meta-analysis of randomized controlled trials. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2022. http://dx.doi.org/10.37766/inplasy2022.9.0019.

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Review question / Objective: The purpose of this review is to determine the efficacy and safety of acupuncture on diabetic peripheral neuropathy (DPN) pain compared with analgesics or sham acupuncture.Randomized controlled trials are the only types of studies included in this review. Condition being studied: Diabetic peripheral neuropathy (DPN) is a common complication of type 1 and 2 diabetes. It is also the main cause of lower limb amputation and disability in patients with diabetes. Epidemiological evidence shows that up to 50% of patients with diabetes developed neuropathy during their lon
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LOW-CYCLE FATIGUE PROPERTIES OF AUSTENITIC STAINLESS STEEL S30408 UNDER LARGE PLASTIC STRAIN AMPLITUDE. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/ijasc.2022.18.1.10.

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The application of stainless steel materials in civil structures for seismic protection lies in its low-cycle fatigue characteristic. However, the data of existing research are mainly based on the low-cycle fatigue in small strain amplitudes. To this end, we perform low-cycle fatigue testing of Austenitic stainless steel S30408, which has low yield point and good elongation performance, under the cyclic load with a maximum strain amplitude reaching up to 5%, to fill the gap. The stress-strain response characteristics of the stainless steel material under the cyclic load are analyzed; then, the
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