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Number of items: 66.

Prykarpatski, A. K. and Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462 2024. The two-dimensional boole-type transform and its ergodicity. Journal of Mathematical Sciences 278 , 1055–1076. 10.1007/s10958-024-06977-6

Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462, Bovdi, Victor A. and Prykarpatski, Anatolij K. 2024. On the quantum deformations of associative Sato Grassmannian algebras and the related matrix problems. Symmetry 16 (1) , 54. 10.3390/sym16010054
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Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462 and Balinsky, Alexander D. 2024. Enhancing conformal prediction using E-test statistics. Presented at: 13th Symposium on Conformal and Probabilistic Prediction with Applications, Milan, Italy, 9-11 September 2024.
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Hentosh, O. E., Prykarpatskyy, Ya.A., Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, A. K. 2023. Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type hamiltonian systems. II. Ukrainian Mathematical Journal 10.1007/s11253-023-02140-7
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Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462, Prykarpatski, A. K., Pukach, P. Ya. and Vovk, M. I. 2023. On the symplectic structure deformations related to the Monge–Ampère equation on the Kähler manifold P2(C). Ukrainskyi Matematychnyi Zhurnal 75 (1) 10.37863/umzh.v75i1.7320
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Hentosh, O. E., Prykarpatskyy, Ya.A., Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, A. K. 2023. Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I. Ukrainian Mathematical Journal 10.1007/s11253-023-02129-2
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Prykarpatski, Anatolij K. and Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462 2023. Special issue editorial "symmetry of Hamiltonian systems: classical and quantum aspects". Symmetry 15 (1) , 96. 10.3390/sym15010096
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Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462, Gafiychuk, V. V., Kyshakevych, B. Yu. and Prykarpatsky, A. K. 2022. On the dynamics of matrix models for immune clonal networks. Journal of Mathematical Sciences 263 , pp. 198-214. 10.1007/s10958-022-05920-x

Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, Anatolij K. 2021. On the finite dimensionality of closed subspaces in Lp(M, dμ) ∩ Lq(M, dν). Axioms 10 (4) , 275. 10.3390/axioms10040275
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Blackmore, Denis, Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462, Kycia, Radoslaw and Prykarpatski, Anatolij K. 2021. Entropy and ergodicity of Boole-type transformations. Entropy 23 (11) , 1405. 10.3390/e23111405
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Prykarpatski, Anatolij K. and Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462 2021. On symmetry properties of frobenius manifolds and related lie-algebraic structures. Symmetry 13 (6) , 979. 10.3390/sym13060979
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Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462, Gafiychuk, V. V., Kyshakevych, B. Yu. and Prykarpatsky, A. K. 2021. On the dynamics of matrix models for immune clonal networks. Nonlinear Oscillations 23 (4) , pp. 439-456.
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Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462, Blackmore, Denis, Kycia, Rados?aw and Prykarpatski, Anatolij K. 2020. Geometric aspects of the isentropic liquid dynamics and vorticity invariants. Entropy 22 (11) , 1241. 10.3390/e22111241
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Hentosh, O. Ye., Balinsky, A. A. ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, A. K. 2020. The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations. Carpathian Mathematical Publications 12 (1) , pp. 242-265. 10.15330/cmp.12.1.242-264
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Byszewski, Ludwik, Blackmore, Denis, Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462, Prykarpatski, Anatolij K. and Lu´styk, Mirosław 2020. Solvability, completeness and computational analysis of a perturbed control problem with delays. Mathematics and Statistics 8 (2) , pp. 187-202. 10.13189/ms.2020.080215
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Hentosh, Oksana E., Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, Anatolij K. 2020. Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems. Annals of Mathematics and Physics 3 (1) , 001-006. 10.17352/amp.000010
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Nouretdinov, Ilia, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Gammerman, Alexander 2020. Conformal anomaly detection for visual reconstruction using gestalt principles. Presented at: 9th Symposium on Conformal and Probabilistic Prediction with Applications (COPA 2020), Verona, Italy, 9-11 September 2020. Proceedings of Machine Learning Research. , vol.128 pp. 1-20.
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Spasic, Irena ORCID: https://orcid.org/0000-0002-8132-3885, Krzeminski, Dominik, Corcoran, Padraig ORCID: https://orcid.org/0000-0001-9731-3385 and Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 2019. Cohort selection for clinical trials from longitudinal patient records: text mining approach. JMIR Medical Informatics 7 (4) , e15980. 10.2196/15980
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Prykarpatski, Anatolij, Balinsky, Alexandr ORCID: https://orcid.org/0000-0002-8151-4462 and Artemovych, Orest 2019. Hamiltonian operators and related differential-algebraic Balinsky-Novikov, Riemann and Leibniz type structures on nonassociative noncommutative algebras. Proceedings of the International Geometry Center 12 (4) 10.15673/tmgc.v12i4.1554
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Artemovych, O.D., Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, A.K. 2019. The quadratic Poisson structures and related nonassociative noncommutative Zinbiel type algebras. Annals of Mathematics and Physics 2 (1) , 026-037. 10.17352/amp.000007
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Hentosh, O.E., Prykarpatsky, Y.A., Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Prykarpatski, A.K. 2019. The dispersionless completely integrable heavenly type Hamiltonian flows and their differential-geometric structure. Annals of Mathematics and Physics 2 (1) , 011-025. 10.17352/amp.000006
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Artemovych, Orest D., Balinsky, Alexander A. ORCID: https://orcid.org/0000-0002-8151-4462, Blackmore, Denis and Prykarpatski, Anatolij K. 2018. Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators. Symmetry 10 (11) , 601. 10.3390/sym10110601
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Krzeminski, Dominik, Balinsky, Helen ORCID: https://orcid.org/0000-0002-8151-4462 and Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 2018. Helmholtz principle on word embeddings for automatic document segmentation. Presented at: DocEng 18: 18th ACM Symposium on Document Engineering, Halifax, Nova Scotia, Canada, 28-31 August 2018. DocEng '18: Proceedings of the ACM Symposium on Document Engineering 2018. New York, NY: ACM, 10.1145/3209280.3229103
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Percy, Isabelle, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen ORCID: https://orcid.org/0000-0002-8151-4462 and Simske, Steve 2018. Text mining and recommender systems for predictive policing. Presented at: DocEng 18: 18th ACM Symposium on Document Engineering, Halifax, Nova Scotia, Canada, 28-31 August 2018.
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen and Simske, Steven 2017. On the Helmholtz Principle for data mining. Kreinovich, Vladek, ed. Uncertainty Modeling, Vol. 683. Studies in Computational Intelligence, Springer, pp. 15-35.

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen and Simske, Steven 2016. Detecting unusual behaviour and mining unstructured data. Aston, Philip J., Mulholland, Anthony J. and Tant, Katherine M. M., eds. UK Success Stories in Industrial Mathematics, Springer, pp. 181-187. (10.1007/978-3-319-25454-8_23)

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Roger, Lewis 2015. The analysis and geometry of Hardy's Inequality. Springer.

Dadachev, Boris, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Balinsky, Helen ORCID: https://orcid.org/0000-0002-8151-4462 2014. On automatic text segmentation. Presented at: DocEng 14: 2014 ACM Symposium on Document Engineering, Denver, CO, USA, 16-19 September 2014. Proceedings of the 2014 ACM Symposium on Document Engineering. Association for Computing Machinery, pp. 73-80. 10.1145/2644866.2644874

Dadachev, Boris, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen and Forman, George 2013. Automatic text and data stream segmentation using weighted feature extraction. Presented at: 3rd IMA Conference on Mathematics in Defence, Tom Elliott Conference Centre, QinetiQ, Malvern, UK, 24 October 2013.

Hewlett Packard Development Co. 2013. Keyword determination based on a weight of meaningfulness. 8375022. [Patent].

Dadachev, Boris, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen and Simske, Steven 2012. On the Helmholtz Principle for Data Mining. Presented at: 2012 Third International Conference on Emerging Security Technologies (EST), Lisbon, Portugal, 5-7 September 2012. Published in: Stoica, A., Zarzhitsky, D., Howells, G., Frowd, C., McDonald-Maier, K., Erdogan, A. and Arslan, T. eds. Proceedings: EST 2012: Third International Conference on Emerging Security Technologies. Los Alamitos, CA: IEEE, pp. 99-102. 10.1109/EST.2012.11

Balinsky, Helen, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Simske, Steven J. 2012. Text documents as social networks. Presented at: SPIE Conference on Imaging and Printing in a Web 2.0 World III, Burlingame, CA, USA, 25-26 January 2012. Published in: Lin, Q., Allebach, J. P. and Fan, Z. eds. Imaging and Printing in a Web 2.0 World III. Proceedings of the SPIE (8302) Bellingham, WA: SPIE, p. 830207. 10.1117/12.909110

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Lewis, R. T. 2012. Hardy's inequality and curvature. Journal of Functional Analysis 262 (2) , pp. 648-666. 10.1016/j.jfa.2011.10.001

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen and Simske, Steven 2011. Rapid change detection and text mining. Presented at: 2nd IMA Conference on Mathematics in Defence, Defence Academy of the United Kingdom, Swindon, 20 October 2011.

Balinsky, Helen, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Simske, Steven 2011. Document sentences as a small world. Presented at: 2011 IEEE International Conference on Systems, Man, and Cybernetics (SMC), Anchorage, AK, USA, 9-12 October 2011. Published in: Tunstel, E. and Nahavandi, S. eds. Proceedings of the 2011 IEEE International Conference on Systems, Man, and Cybernetics (SMC). Los Alamitos, CA: IEEE, pp. 2583-2588. 10.1109/ICSMC.2011.6084065

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Mohammad, Nassir 2011. Non-linear filter response distributions of natural images and applications in image processing. Applied Mathematics and Information Sciences 5 (3) , pp. 367-389.

Balinsky, Helen, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Simske, Steven 2011. Automatic text summarization and small-world networks. Presented at: 11th ACM symposium on Document engineering, Mountain View, CA, USA, 19-22 September 2011. Proceedings of the 11th ACM symposium on Document engineering. New York, NY: Association for Computing Machinery, pp. 175-184. 10.1145/2034691.2034731

Kovalerchuk, Boris and Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 2011. Visual Data Mining and Discovery in Multivariate Data Using Monotone n-D Structure. Lecture Notes in Computer Science 6581 , pp. 297-313. 10.1007/978-3-642-22140-8_20

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Umeda, Tomio 2011. The Dirac-Hardy and Dirac-Sobolev inequalities in L1. Publications of the Research Institute for Mathematical Sciences 47 (3) , pp. 791-801. 10.2977/PRIMS/51

Balinsky, Helen, Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Simske, Steven 2010. On the Helmholtz Principle for data mining. Hewlett Packard Development Company.

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2010. Some recent results on Hardy-type inequalities. Applied Mathematics and Information Sciences 4 (2) , pp. 191-208.

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2010. Spectral Analysis of Relativistic Operators. London: Imperial College Press.

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Mohammad, Nassir 2010. Sparse natural image statistics and their applications to colorization and compression. Presented at: 17th IEEE International Conference on Image Processing (ICIP), Hong Kong, China, 26-29 September 2010. Published in: Siu, W.-C. ed. 2010 17th IEEE International Conference on Image Processing (ICIP), Hong Kong, 26-29 Sept. 2010. Los Alamitos, CA: IEEE, pp. 1661-1664. 10.1109/ICIP.2010.5652168

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Balinsky, Helen Y. and Simske, Steven J. 2010. On helmholtz's principle for documents processing. Presented at: 10th ACM Symposium on Document Engineering (DocEng2010), Manchester, UK, 21-24 September 2010. Published in: Antonacopoulos, Apostolos, Grmish, Michael and Ingold, Rolf eds. Proceedings of the 10th ACM symposium on Document engineering. New York: ACM Press, pp. 283-286. 10.1145/1860559.1860624

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Mohammad, Nassir 2009. Non-linear filter response distributions of natural colour images. Lecture Notes on Computer Science 5646 , pp. 101-108. 10.1007/978-3-642-03265-3_11

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Balinsky, Helen 2009. On semi-supervised learning and sparsity. Presented at: IEEE International Conference on Systems, Man, and Cybernetics, San Antonio, TX, USA, 11-14 October 2009. Proceedings 2009 International Conference on Systems, Man and Cybernetics October 11-14, 2009 : San Antonio, Texas, USA. Los Alamitos, CA: IEEE, pp. 3083-3087. 10.1109/ICSMC.2009.5345946

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Mohammad, Nassir 2009. Colorization of natural images via L1 optimization. Presented at: IEEE Workshop on Applications of Computer Vision, Snowbird, UT, USA, 7-8 December 2009. IEEE 2009 Workshop on Applications of Computer Vision WACV 2009, Dec. 7-8 2009, Snowbird Utah. IEEE Computer Society, pp. 1-6.

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Saito, Y. 2008. Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Journal of Mathematical Physics 49 (4) , 043514. 10.1063/1.2912229

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William and Hundertmark, Dirk 2008. On inequalities of Hardy-Sobolev type. Banach Journal of Mathematical Analysis (BJMA) 2 (2) , pp. 94-106.
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Ryan, J. 2007. Some Sharp L2 Inequalities for Dirac Type Operators. Symmetry, Integrability and Geometry: Methods and Applications 3 , 114. 10.3842/SIGMA.2007.114

Balinsky, Helen and Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 2007. Affine invariant total variation models. [Technical Report]. Bristol: Hewlett-Packard Development Company. Available at: http://www.hpl.hp.com/techreports/2007/HPL-2007-94...

Tyukov, Alexey E. and Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 2006. On localization of pseudo-relativistic energy. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462 (2067) , pp. 897-912. 10.1098/rspa.2005.1606

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Laptev, Ari and Sobolev, Alexander V. 2004. Generalized Hardy inequality for the magnetic Dirichlet forms. Journal of Statistical Physics 116 (1-4) , pp. 507-521. 10.1023/B:JOSS.0000037228.35518.ca

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 2003. Hardy type inequalities for Aharonov-Bohm magnetic potential with multiple singularities. Mathematical Research Letters 10 (2) , pp. 169-176.

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2002. On the Zero Modes of Weyl-Dirac Operators and their Multiplicity. Bulletin of the London Mathematical Society 34 (2) , pp. 236-242. 10.1112/S0024609301008736

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2002. On the spectral properties of the Brown-Ravenhall operator. Journal of Computational and Applied Mathematics 148 (1) , pp. 239-255. 10.1016/S0377-0427(02)00583-6

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Lewis, R. T. 2001. On the number of negative eigenvalues of Schrödinger operators with an Aharanov-Bohm magnetic field. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences 457 (2014) , pp. 2481-2489. 10.1098/rspa.2001.0851

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2001. On the zero modes of Pauli operators. Journal of Functional Analysis 179 (1) , pp. 120-135. 10.1006/jfan.2000.3670

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Lewis, Roger T. 2001. Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3 [Letter]. Journal of Physics A: Mathematical and General 34 (5) , L19-L23. 10.1088/0305-4470/34/5/101

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 1999. On the stability of relativistic one-electron molecules [Letter]. Journal of Physics A: Mathematical and General 32 (11) , L129-L132. 10.1088/0305-4470/32/11/001

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 1999. Stability of One-Electron Molecules in the Brown-Ravenhall Model. Communications in Mathematical Physics 202 (2) , pp. 481-500. 10.1007/s002200050592

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 1998. On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded Eigenvalues. Letters in Mathematical Physics 44 (3) , pp. 233-248. 10.1023/A:1007425400991

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Burman, Yu. 1996. Quadratic Poisson brackets and the Drinfeld theory for associative algebras [Letter]. Letters in Mathematical Physics 38 (1) , pp. 63-75. 10.1007/BF00398299

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 1994. Generalized quantization scheme for central extensions of Lie algebras [Letter]. Journal of Physics A: Mathematical and General 27 (3) , L87-L90. 10.1088/0305-4470/27/3/005

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Burman, Yu M 1994. Quadratic Poisson brackets compatible with an algebra structure [Letter]. Journal of Physics A: Mathematical and General 27 (18) , L693-L696. 10.1088/0305-4470/27/18/008

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Balinsky, A. I. 1993. On the algebraic structures connected with the linear Poisson brackets of hydrodynamics type [Letter]. Journal of Physics A: Mathematical and General 26 (7) , L361-L364. 10.1088/0305-4470/26/7/002

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