Academic literature on the topic 'Integrable'

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Journal articles on the topic "Integrable"

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Álvarez Merino, Paula, Carmen Requena Hernández, and Francisco Salto Alemany. "LA INTEGRACIÓN MÁS QUE LA EDAD INFLUYE EN EL RENDIMIENTO DEL RAZONAMIENTO DEDUCTIVO." International Journal of Developmental and Educational Psychology. Revista INFAD de Psicología. 1, no. 2 (2016): 221. http://dx.doi.org/10.17060/ijodaep.2016.n2.v1.569.

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Abstract.This work merges from our interest for the evolution of deductive reasoning across the life cycle from youth to older age. With time, reasoning resources seem to be compromised and constrained, even if on the other side they seem more flexible. The literature on deductive reasoning considers that deduction only takes place between integrable premisses, that is, premisses whose elements share any categorematical term. The present research designed, applied and analyzed an instrument to measure deduction. The measure is based on integration as a general rule to deduce a conclusion from
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Kai, Tatsuya. "Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms." Mathematical Problems in Engineering 2012 (2012): 1–34. http://dx.doi.org/10.1155/2012/345942.

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This paper investigates foliation structures of configuration manifolds and develops integrating algorithms for a class of constraints that contain the time variable, calledA-rheonomous affine constrains. We first present some preliminaries on theA-rheonomous affine constrains. Next, theoretical analysis on foliation structures of configuration manifolds is done for the respective three cases where theA-rheonomous affine constrains are completely integrable, partially integrable, and completely nonintegrable. We then propose two types of integrating algorithms in order to calculate independent
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Mañas, Manuel. "From integrable nets to integrable lattices." Journal of Mathematical Physics 43, no. 5 (2002): 2523. http://dx.doi.org/10.1063/1.1454185.

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Maciejewski, Andrzej J., and Maria Przybylska. "Integrable deformations of integrable Hamiltonian systems." Physics Letters A 376, no. 2 (2011): 80–93. http://dx.doi.org/10.1016/j.physleta.2011.10.031.

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Xia, Baoqiang, and Ruguang Zhou. "Integrable deformations of integrable symplectic maps." Physics Letters A 373, no. 47 (2009): 4360–67. http://dx.doi.org/10.1016/j.physleta.2009.09.063.

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Ning, Wang. "Integrable Bogoliubov Transform and Integrable Model." Chinese Physics Letters 20, no. 2 (2003): 177–79. http://dx.doi.org/10.1088/0256-307x/20/2/301.

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ZHU, LI, HONGWEI YANG, and HUANHE DONG. "A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS." International Journal of Modern Physics B 24, no. 08 (2010): 1021–46. http://dx.doi.org/10.1142/s0217979209053667.

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A Liouville integrable multi-component integrable system is obtained by the vector loop algebra. Then, the integrable couplings of the above system are presented by using the expanding vector loop algebra [Formula: see text] of the [Formula: see text]. Finally, the bi -Hamiltonian structure of the obtained system is given, respectively, by the variational identity.
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Bountis, Tassos, Zhanat Zhunussova, Karlygash Dosmagulova, and George Kanellopoulos. "Integrable and non-integrable Lotka-Volterra systems." Physics Letters A 402 (June 2021): 127360. http://dx.doi.org/10.1016/j.physleta.2021.127360.

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Olshanetsky, M. A. "Integrable extensions of classical elliptic integrable systems." Theoretical and Mathematical Physics 208, no. 2 (2021): 1061–74. http://dx.doi.org/10.1134/s0040577921080067.

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Výborný. "KURZWEIL-HENSTOCK ABSOLUTE INTEGRABLE MEANS McSHANE INTEGRABLE." Real Analysis Exchange 20, no. 1 (1994): 363. http://dx.doi.org/10.2307/44152498.

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Dissertations / Theses on the topic "Integrable"

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Meng, Jinghan. "Bi-Integrable and Tri-Integrable Couplings and Their Hamiltonian Structures." Scholar Commons, 2012. http://scholarcommons.usf.edu/etd/4371.

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An investigation into structures of bi-integrable and tri-integrable couplings is undertaken. Our study is based on semi-direct sums of matrix Lie algebras. By introducing new classes of matrix loop Lie algebras, we form new Lax pairs and generate several new bi-integrable and tri-integrable couplings of soliton hierarchies through zero curvature equations. Moreover, we discuss properties of the resulting bi-integrable couplings, including infinitely many commuting symmetries and conserved densities. Their Hamiltonian structures are furnished by applying the variational identities associated w
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Parini, Robert Charles. "Classical integrable field theories with defects and near-integrable boundaries." Thesis, University of York, 2018. http://etheses.whiterose.ac.uk/20428/.

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In the first part of this thesis algebro-geometric solutions for the sine-Gordon and KdV equations in the presence of a type I integrable defect are found, generalising the previously known soliton solutions. Elliptic (genus one) solutions where the defect induces only a phase shift are obtained via ansätze for the fields on each side of the defect. Algebro-geometric solutions for arbitrary genus and involving soliton emission by the defect are constructed using a Darboux transformation, exploiting the fact that the defect equations have the form of a Bäcklund transformation at a point. All
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Calini, Annalisa Maria. "Integrable curve dynamics." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186987.

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The Heisenberg Model of the integrable evolution of a continuous spin chain can be used to describe an integrable dynamics of curves in R ³. The role of orthonormal frames of the curve is explored. In this framework a second Poisson structure for the Heisenberg Model is derived and the relation between the Heisenberg Model and the cubic Non-Linear Schrodinger Equation is explained. The Frenet frame of a curve is shown to be a Legendrian curve in the space of orthonormal frames with respect to a natural contact structure. As a consequence, generic singularities of the solution of the Heisenberg
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Saksida, Pavle. "Geometry of integrable systems." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308545.

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Cheng, Y. "Theory of integrable lattices." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.568779.

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This thesis deals with the theory of integrable lattices in "solitons" throughout. Chapter 1 is a general introduction, which includes an historical survey and a short surrunary of the "solitons" theory and the present work. In Chapter 2, we discuss the equivalence between two kinds of lattice AKNS spectral problems - one includes two potentials, while the other includes four. The two nonlinear lattice systems associated with those two spectral problems, respectively is also proved to be equivalent to each other. In Chapter 3, we derive a class of nonlinear differential-difference equations (N
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Moorhouse, Thomas. "Methods for integrable systems." Thesis, Durham University, 1994. http://etheses.dur.ac.uk/5484/.

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This work concerns the study of certain methods for investigating integrable systems, and the application of these methods to specific problems and examples. After introducing the notion of integrability in chapters 1 and 2, we go on, in chapter 3, to develop a novel type of discrete integrable equation by considering ways of enforcing Leibniz's rule for finite difference operators. We look at several approaches to the problem, derive some solutions and study several examples. Chapter 4 describes a numerical implementation of a method for solving initial value problems for an integrable equati
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Berntson, B. K. "Integrable delay-differential equations." Thesis, University College London (University of London), 2017. http://discovery.ucl.ac.uk/1566618/.

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Delay-differential equations are differential-difference equations in which the derivatives and shifts are taken with respect to the same variable. This thesis is concerned with these equations from the perspective of the theory of integrable systems, and more specifically, Painlevé equations. Both the classical Painlevé equations and their discrete analogues can be obtained as deautonomizations of equations solved by two-parameter families of elliptic functions. In analogy with this paradigm, we consider autonomous delay-differential equations solved by elliptic functions, delay-differentia
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Hadad, Yaron. "Integrable Nonlinear Relativistic Equations." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293490.

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This work focuses on three nonlinear relativistic equations: the symmetric Chiral field equation, Einstein's field equation for metrics with two commuting Killing vectors and Einstein's field equation for diagonal metrics that depend on three variables. The symmetric Chiral field equation is studied using the Zakharov-Mikhailov transform, with which its infinitely many local conservation laws are derived and its solitons on diagonal backgrounds are studied. It is also proven that it is equivalent to a novel equation that poses a fascinating similarity to the Sinh-Gordon equation. For the 1+1 E
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McAnally, Morgan Ashley. "Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations." Scholar Commons, 2017. https://scholarcommons.usf.edu/etd/7423.

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We present a new spectral problem, a generalization of the D-Kaup-Newell spectral problem, associated with the Lie algebra sl(2,R). Zero curvature equations furnish the soliton hierarchy. The trace identity produces the Hamiltonian structure for the hierarchy. Lastly, a reduction of the spectral problem is shown to have a different soliton hierarchy with a bi-Hamiltonian structure. The first major motivation of this dissertation is to present spectral problems that generate two soliton hierarchies with infinitely many commuting conservation laws and high-order symmetries,
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Jetzer, Frédéric. "Completely integrable systems on supermanifolds." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0020/NQ55399.pdf.

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Books on the topic "Integrable"

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Babelon, Olivier, Yvette Kosmann-Schwarzbach, and Pierre Cartier, eds. Integrable Systems. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0315-5.

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Xing-Chang, Song, ed. Integrable systems. World Scientific, 1990.

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Duistermaat, J. J. Discrete Integrable Systems. Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-72923-7.

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Gerdjikov, V. S., G. Vilasi, and A. B. Yanovski, eds. Integrable Hamiltonian Hierarchies. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-77054-1.

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Konopelchenko, B. G., ed. Nonlinear Integrable Equations. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/3-540-17567-9.

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Grammaticos, Basil, Thamizharasi Tamizhmani, and Yvette Kosmann-Schwarzbach, eds. Discrete Integrable Systems. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b94662.

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1946-, Grammaticos B., Kosmann-Schwarzbach Yvette 1941-, and Tamizhmani T, eds. Discrete integrable systems. Springer, 2004.

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Anindya, Ghose Choudhury, ed. Quantum integrable systems. Chapman & Hall/CRC, 2003.

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Chowdhury, Roy. Quantum Integrable Systems. Chapman & Hall, 2004.

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Bonora, L., G. Mussardo, A. Schwimmer, L. Girardello, and M. Martellini, eds. Integrable Quantum Field Theories. Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0.

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Book chapters on the topic "Integrable"

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Santini, P. M. "Integrable Singular Integral Evolution Equations." In Springer Series in Nonlinear Dynamics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58045-1_9.

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Rodin, Yu L. "Integrable Systems." In Mathematics and Its Applications. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2885-5_6.

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Brokate, Martin, and Götz Kersting. "Integrable Functions." In Compact Textbooks in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15365-0_5.

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Shivamoggi, Bhimsen K. "Integrable Systems." In Fluid Mechanics and Its Applications. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-2442-5_5.

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Tondeur, Philippe. "Integrable Forms." In Universitext. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4613-8780-0_2.

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Arutyunov, Gleb. "Integrable Thermodynamics." In Elements of Classical and Quantum Integrable Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24198-8_6.

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Dubrovin, B. A., I. M. Krichever, and S. P. Novikov. "Integrable Systems.I." In Dynamical Systems IV. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-06791-8_3.

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Gignoux, Claude, and Bernard Silvestre-Brac. "Integrable Systems." In Solved Problems in Lagrangian and Hamiltonian Mechanics. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2393-3_6.

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Betounes, David. "Integrable Systems." In Differential Equations: Theory and Applications. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-4971-7_8.

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Lam, Lui. "Integrable Systems." In Introduction to Nonlinear Physics. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-2238-5_10.

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Conference papers on the topic "Integrable"

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KOREPIN, VLADIMIR I. "INTEGRABLE INTEGRAL OPERATORS." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0020.

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DEGASPERIS, A., D. D. HOLM, and A. N. W. HONE. "INTEGRABLE AND NON-INTEGRABLE EQUATIONS WITH PEAKONS." In Proceedings of the Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704467_0005.

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DI FRANCESCO, PHILIPPE. "INTEGRABLE COMBINATORICS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0151.

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"Integrable Systems." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_others12.

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Xing-Chang, Song. "INTEGRABLE SYSTEMS." In Nankai Lectures on Mathematical Physics 1987. WORLD SCIENTIFIC, 1989. http://dx.doi.org/10.1142/9789814541381.

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ZHANG, YUFENG, and QINGYOU YAN. "A NEW INTEGRABLE HIERARCHY AND ITS EXPANSIVE INTEGRABLE MODEL." In Proceedings of the ICM2002 Satellite Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795366_0016.

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PAVLOV, MAXIM V. "INTEGRABLE HYDRODYNAMIC CHAINS." In Proceedings of the Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704467_0015.

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GAETA, GIUSEPPE, and PAOLA MORANDO. "QUATERNIONIC INTEGRABLE SYSTEMS." In Proceedings of the International Conference on SPT 2002. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795403_0009.

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PREVIATO, EMMA. "SOME INTEGRABLE BILLIARDS." In Proceedings of the International Conference on SPT 2002. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795403_0020.

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FENDLEY, PAUL. "INTEGRABLE SIGMA MODELS." In Proceedings of the APCTP Winter School. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799739_0005.

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Reports on the topic "Integrable"

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Overman, Edward A., McLaughlin II, and David W. Whiskered Tori for Integrable Pde's: Chaotic Behavior in Near Integrable Pde's. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada278390.

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Danilov, Viatcheslav, and Sergei Nagaitsev. On Quantum Integrable Systems. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1036292.

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Calini, Annalisa. Integrable Dynamics of Knotted Vortex Filaments. GIQ, 2012. http://dx.doi.org/10.7546/giq-5-2004-11-50.

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Batalov, I., and A. Valishev. Stability of non-linear integrable accelerator. Office of Scientific and Technical Information (OSTI), 2011. http://dx.doi.org/10.2172/1038933.

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Stephan I. Tzenov. Renormalization Group Reduction of Non Integrable Hamiltonian Systems. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/798173.

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Mohammedi, Nourddine. Classically Integrable Two-Dimensional Non-Linear Sigma Models. GIQ, 2015. http://dx.doi.org/10.7546/giq-16-2015-250-255.

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Moro, Antonio. High Frequency Integrable Regimes in Nonlocal Nonlinear Optics. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-7-2006-37-83.

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Bernatska, Julia, and Petro Holod. • Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems. GIQ, 2012. http://dx.doi.org/10.7546/giq-14-2013-61-73.

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Bernatska and Petro Holod, Julia Bernatska and Petro Holod. Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems. Journal of Geometry and Symmetry in Physics, 2013. http://dx.doi.org/10.7546/jgsp-29-2013-39-51.

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Clem, P. G., D. Dimos, T. J. Garino, et al. Surface Micromachined Flexural Plate Wave Device Integrable on Silicon. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/2625.

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