Academic literature on the topic 'Riemannsk geometri'

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Journal articles on the topic "Riemannsk geometri"

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Widder, Nathan. "The Mathematics of Continuous Multiplicities: The Role of Riemann in Deleuze's Reading of Bergson." Deleuze and Guattari Studies 13, no. 3 (2019): 331–54. http://dx.doi.org/10.3366/dlgs.2019.0361.

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A central claim of Deleuze's reading of Bergson is that Bergson's distinction between space as an extensive multiplicity and duration as an intensive multiplicity is inspired by the distinction between discrete and continuous manifolds found in Bernhard Riemann's 1854 thesis on the foundations of geometry. Yet there is no evidence from Bergson that Riemann influences his division, and the distinction between the discrete and continuous is hardly a Riemannian invention. Claiming Riemann's influence, however, allows Deleuze to argue that quantity, in the form of ‘virtual number’, still pertains
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VACARU, SERGIU I. "FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY." International Journal of Geometric Methods in Modern Physics 05, no. 04 (2008): 473–511. http://dx.doi.org/10.1142/s0219887808002898.

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We review the current status of Finsler–Lagrange geometry and generalizations. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skilled in general relativity and particle theories, to understand the crucial importance of such geometric methods for applications in modern physics. We also would like to orient mathematicians working in generalized Finsler and Kähler geometry and geometric mechanics how they could perform their results in order to be accepted by the community of "orthodox" physicists. Although the bulk of former models of Finsler–Lagrange spaces where
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Itin, Yakov. "Pseudo-Riemann’s quartics in Finsler’s geometry—two-dimensional case." Journal of Physics: Conference Series 2482, no. 1 (2023): 012007. http://dx.doi.org/10.1088/1742-6596/2482/1/012007.

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Abstract Finsler’s geometry usually describes an extension of Riemmann’s geometry into a direction-dependent geometric structure. Historically, the well-known Riemann’s quartic length element example served as the inspiration for this construction. Surprisingly, the covariant Fresnel equation—a fundamental dispersion relation in solid-state electrodynamics—emerges as the exact same quartic expression. As a result, Riemann’s quartic length expression can be regarded of as a mathematical representation of a well-known physical phenomenon. In this study, we offer numerous Riemann’s quartic exampl
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Lesfari, A. "Riemann-Roch theorem and Kodaira-Serre duality." Annals of West University of Timisoara - Mathematics and Computer Science 58, no. 1 (2022): 4–17. http://dx.doi.org/10.2478/awutm-2022-0002.

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Abstract The Riemann-Roch theorem is of utmost importance and a vital tool to the fields of complex analysis and algebraic geometry, specifically in the algebraic geometric theory of compact Riemann surfaces. It tells us how many linearly independent meromorphic functions there are having certain restrictions on their poles. The aim of this paper is to give two proofs of this important theorem and explore some of its numerous consequences. As an application, we compute the genus of some interesting algebraic curves or Riemann surfaces.
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Mattes, M., and M. Sorg. "Riemann - Cartan Geometry of Trivializable Gauge Fields." Zeitschrift für Naturforschung A 44, no. 3 (1989): 222–38. http://dx.doi.org/10.1515/zna-1989-0309.

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A Riemann-Cartan structure can be associated to any SO (4) trivializable gauge field. Under certain integrability conditions, this non-Riemannian geometry may be replaced by a strictly Riemannian one. The Yang-Mills equations guarantee the existence of such a Riemannian structure. The general SO(4) trivializable solution for the SO(3) Yang-Mills equations is discussed within the geometric approach.
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Katanaev, Mikhail O., and Alexander V. Mark. "Combined Screw and Wedge Dislocations." Universe 9, no. 12 (2023): 500. http://dx.doi.org/10.3390/universe9120500.

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Elastic media with defects are considered manifold with nontrivial Riemann–Cartan geometry in the geometric theory of defects. We obtain the solution of three-dimensional Euclidean general relativity equations with an arbitrary number of linear parallel sources. It describes elastic media with parallel combined wedge and screw dislocations.
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Hoare, Graham. "Bernhard Riemann’s legacy of 1859." Mathematical Gazette 93, no. 528 (2009): 468–75. http://dx.doi.org/10.1017/s0025557200185213.

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The German version of Riemann’s Collected Works is confined to a single volume of 690 pages. Even so, this volume has had an abiding and profound impact on modern mathematics and physics, as we shall see. In fifteen years of activity, from 1851, when he gained his doctorate at the University of Göttingen, to his death in 1866, two months short of his fortieth birthday, Riemann contributed to almost all areas of mathematics. He perceived mathematics from the analytic point of view and used analysis to illuminate subjects as diverse as number theory and geometry. Although regarded principally as
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Kagan, V. F. "Riemann's Geometric Ideas." American Mathematical Monthly 112, no. 1 (2005): 79. http://dx.doi.org/10.2307/30037389.

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Kagan, V. F. "Riemann's Geometric Ideas." American Mathematical Monthly 112, no. 1 (2005): 79–86. http://dx.doi.org/10.1080/00029890.2005.11920172.

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Guo, Enli, and Xiaohuan Mo. "Riemann-Finsler geometry." Frontiers of Mathematics in China 1, no. 4 (2006): 485–98. http://dx.doi.org/10.1007/s11464-006-0023-9.

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Dissertations / Theses on the topic "Riemannsk geometri"

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Pedersen, Morten Akhøj. "Méthodes riemanniennes et sous-riemanniennes pour la réduction de dimension." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4087.

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Nous proposons dans cette thèse de nouvelles méthodes de réduction de dimension fondées sur la géométrie différentielle. Il s'agit de trouver une représentation d'un ensemble d'observations dans un espace de dimension inférieure à l'espace d'origine des données. Les méthodes de réduction de dimension constituent la pierre angulaire des statistiques et ont donc un très large éventail d'applications. Dans les statistiques euclidiennes ordinaires, les données appartiennent à un espace vectoriel et l'espace de dimension inférieure peut être un sous-espace linéaire ou une sous-variété non linéaire
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Silva, Junior Roberto Carlos Alvarenga da [UNESP]. "Teorema de Riemann-Roch, morfismos de Frobenius e a hipótese de Riemann." Universidade Estadual Paulista (UNESP), 2014. http://hdl.handle.net/11449/122107.

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Made available in DSpace on 2015-04-09T12:28:21Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-03-28Bitstream added on 2015-04-09T12:48:18Z : No. of bitstreams: 1 000809982.pdf: 1238279 bytes, checksum: 51811e33aad5834491b25013aa77ba4b (MD5)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>O objetivo desde trabalho e estimar um cota para o n umero de pontos racionais de uma curva. Observando as várias semelhanças entre o anel dos inteiros e o anel dos polinômios em uma variável, iremos usar ferramentas da teoria dos números para resolver um problema da geometria al
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Silva, Junior Roberto Carlos Alvarenga da. "Teorema de Riemann-Roch, morfismos de Frobenius e a hipótese de Riemann /." São José do Rio Preto, 2014. http://hdl.handle.net/11449/122107.

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Orientador: Parham Salehyan<br>Banca: Eduardo Tengan<br>Banca: Trajano Pires da Nóbrega Neto<br>Resumo: O objetivo desde trabalho e estimar um cota para o n umero de pontos racionais de uma curva. Observando as várias semelhanças entre o anel dos inteiros e o anel dos polinômios em uma variável, iremos usar ferramentas da teoria dos números para resolver um problema da geometria algébrica. Desta fusão nasce uma das mais nobres areas da matemática: a geometria aritmética. Fazendo uso do célebre teorema de Riemann-Roch e das ferramentas da teoria dos números demonstraremos a hipótese de Riemann
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Silva, Lucio Fábio Pereira da. "Estruturas não-riemannianas e a imersão do espaço-tempo em dimensões superiores." Universidade Federal da Paraí­ba, 2012. http://tede.biblioteca.ufpb.br:8080/handle/tede/5732.

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Made available in DSpace on 2015-05-14T12:14:07Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1123884 bytes, checksum: 0b9e6a7e26799ac54ef0dcb5fb98d15b (MD5) Previous issue date: 2012-02-28<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>We consider the geometry of affine connections and take, as particular examples, Weyl and Riemann-Cartan geometies. In a modern geometrical approach, we take up the problem of local embedding of manifolds in Weyl spaces and in spaces endowed with semi-symmetric torsion. We then obtain the extrinsic curvature, Weingarten operator
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Stavrov, Iva. "Spectral geometry of the Riemann curvature tensor /." view abstract or download file of text, 2003. http://wwwlib.umi.com/cr/uoregon/fullcit?p3095275.

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Thesis (Ph. D.)--University of Oregon, 2003.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 236-241). Also available for download via the World Wide Web; free to University of Oregon users.
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Lopes, Lauriclecio Figueiredo. "Superficies minimas folheadas por circunferencias." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306661.

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Orientador: Valerio Ramos Batista<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T03:34:02Z (GMT). No. of bitstreams: 1 Lopes_LauriclecioFigueiredo_M.pdf: 1161319 bytes, checksum: c34f319b4252610a06e72d9b93740a89 (MD5) Previous issue date: 2005<br>Resumo: Entende-se por superfícies mínimas aquelas cuja curvatura média é nula. Têm-se como exemplos clássicos o catenóide, o helicóide e a superfície de Scherk. Historicamente, elas estão relacionadas com minimização de área, porém
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Lubeck, Kelly Roberta Mazzutti. "Metodo limite para solução de problemas de periodos em superficies minimas." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306660.

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Orientador: Valerio Ramos Batista<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-10T08:53:28Z (GMT). No. of bitstreams: 1 Lubeck_KellyRobertaMazzutti_D.pdf: 1896664 bytes, checksum: 506a84f4e0c03b2fff585bb45b6a9b1f (MD5) Previous issue date: 2007<br>Resumo: Neste trabalho apresentamos o estudo e a construção de superfícies minimas atraves de um metodo exclusivo. Em 1762, Lagrange introduziu a Equacao Diferencial das Superfícies Mnimas atraves do Calculo de Variações, e hoje a teoria
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Porto, Anderson Corrêa. "Divisores sobre curvas e o Teorema de Riemann-Roch." Universidade Federal de Juiz de Fora (UFJF), 2018. https://repositorio.ufjf.br/jspui/handle/ufjf/6612.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2018-03-28T11:17:02Z No. of bitstreams: 1 andersoncorreaporto.pdf: 567494 bytes, checksum: e685a947374868ceaa838290c83bc61a (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2018-04-09T19:23:34Z (GMT) No. of bitstreams: 1 andersoncorreaporto.pdf: 567494 bytes, checksum: e685a947374868ceaa838290c83bc61a (MD5)<br>Made available in DSpace on 2018-04-09T19:23:34Z (GMT). No. of bitstreams: 1 andersoncorreaporto.pdf: 567494 bytes, checksum: e685a947374868ceaa838290c83bc61a (MD5) Previous issue date: 2
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Reyes, Ernesto Oscar. "The Riemann zeta function." CSUSB ScholarWorks, 2004. https://scholarworks.lib.csusb.edu/etd-project/2648.

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The Riemann Zeta Function has a deep connection with the distribution of primes. This expository thesis will explain the techniques used in proving the properties of the Rieman Zeta Function, its analytic continuation to the complex plane, and the functional equation that the the Riemann Zeta Function satisfies.
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Souici, Zobida. "Transformations holomorphiquement projectives des espaces symétriques complexes." Lyon 1, 1988. http://www.theses.fr/1988LYO11758.

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Ce travail est consacre a l'etude des proprietes h-projectives des espaces symetriques complexes. Dans le chapitre i (preliminaire) on rappelle quelques definitions et resultats sur les courbes holomorphiquement planaites, les transformations h-projectives, le tenseur de weyl h-projectif et les espaces symetriques complexes. On construit et on etudie dans le chapitre ii, deux familles de domaines symetriques de l'espace projectif complexe et on demontre que ce sont les seuls domaines symetriques. La construction effectuee au chapitre ii est utilisee, dans le chapitre iii pour obtenir une class
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Books on the topic "Riemannsk geometri"

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Chern, Shiing-Shen. Riemann-Finsler geometry. World Scientific, 2005.

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1963-, Shen Zhongmin, ed. Riemann-Finsler geometry. World Scientific, 2005.

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Gardiner, Frederick P., Gabino Gonzalez-Diez, and Christos Kourouniotis, eds. Geometry of Riemann Surfaces. Cambridge University Press, 2009. http://dx.doi.org/10.1017/cbo9781139194266.

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Dragomir, Sorin, Mohammad Hasan Shahid, and Falleh R. Al-Solamy, eds. Geometry of Cauchy-Riemann Submanifolds. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0916-7.

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Barletta, E. Foliations in Cauchy-Riemann geometry. American Mathematical Society, 2007.

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Berliocchi, Henri. Infirmation de l'hypothèse de Riemann. Economica, 2001.

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Bao, D., S. S. Chern, and Z. Shen. An Introduction to Riemann-Finsler Geometry. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1268-3.

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Dai-Wai, Bao David, ed. A sampler of Riemann-Finsler geometry. Cambridge University Press, 2004.

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Bao, David Dai-Wai. A sampler of Riemann-Finsler geometry. Cambridge University Press, 2010.

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Muñoz, José Luis. Riemann: Una visión nueva de la geometría. Nivola, 2006.

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Book chapters on the topic "Riemannsk geometri"

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Shafarevich, I. R. "Riemann Surfaces." In Algebraic Geometry I. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57878-6_2.

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Wells, Raymond O. "Riemann’s Higher-Dimensional Geometry." In Differential and Complex Geometry: Origins, Abstractions and Embeddings. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58184-2_5.

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Simha, R. R., and V. Srinivas. "Riemann Surfaces." In Analysis, Geometry and Probability. Hindustan Book Agency, 1996. http://dx.doi.org/10.1007/978-93-80250-87-8_11.

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Laugwitz, Detlef. "Geometry; Physics; Philosophy." In Bernhard Riemann 1826–1866. Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-0-8176-4777-3_4.

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Laugwitz, Detlef. "Geometrie, Physik, Philosophie." In Bernhard Riemann 1826–1866. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-8983-4_4.

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Tsfasman, M. A., and S. G. Vlăduţ. "Riemann-Roch Theorem." In Algebraic-Geometric Codes. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3810-9_5.

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Jost, Jürgen. "Differential Geometry of Riemann Surfaces." In Compact Riemann Surfaces. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04745-3_2.

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Jost, Jürgen. "Geometric Structures on Riemann Surfaces." In Compact Riemann Surfaces. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04745-3_5.

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Jost, Jürgen. "Differential Geometry of Riemann Surfaces." In Compact Riemann Surfaces. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03446-0_2.

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Jost, Jürgen. "Geometric Structures on Riemann Surfaces." In Compact Riemann Surfaces. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03446-0_5.

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Conference papers on the topic "Riemannsk geometri"

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Cisło, J., M. Wolf, Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmaier, and Theodore Voronov. "Criteria equivalent to the Riemann Hypothesis." In GEOMETRIC METHODS IN PHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.3043867.

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Novokshenov, V. Yu, Piotr Kielanowski, Anatol Odzijewicz, Martin Schlichenmaier, and Theodore Voronov. "The Riemann-Hilbert problem and special functions." In GEOMETRIC METHODS IN PHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.3043854.

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Khimshiashvili, G. "Loop spaces and Riemann-Hilbert problems." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-19.

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Alves, Demison Rolins de Souza, Otávio Noura Teixeira, and Cleison Daniel Silva. "Analisando o impacto do espectro do sinal de EEG na abordagem via Geometria Riemanniana." In Congresso Brasileiro de Inteligência Computacional. SBIC, 2021. http://dx.doi.org/10.21528/cbic2021-84.

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In this work we investigate the use of a Gaussian membership function as a technique to improve the steps of feature extraction and classification in brain-computer interface (BCI) systems based on motor imagery (IM). The main idea of this approach is to filter the spectral information of the electroencephalogram (EEG) signal via parameterized covariance matrices to highlight features that contribute to signal classification through a classifier based on Riemann’s distance. The results, in relation to the accuracy performance, acquired in this work arevalidated from dataset 2a of the IV Intern
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ROSENSTEEL, G., and E. IHRIG. "GEOMETRIC QUANTIZATION OF RIEMANN ROTORS." In Proceedings of XI Workshop on Geometric Methods in Physics. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814440844_0004.

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Brandt, Howard E. "Riemann curvature in quantum computational geometry." In SPIE Defense, Security, and Sensing, edited by Eric J. Donkor, Andrew R. Pirich, and Howard E. Brandt. SPIE, 2009. http://dx.doi.org/10.1117/12.820876.

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Edwards, Benjamin R. "Lorentz Violation and Riemann–Finsler Geometry." In Eighth Meeting on CPT and Lorentz Symmetry. WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811213984_0037.

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SAZDOVIĆ, B. "RIEMANN-CARTAN SPACE-TIME IN STRINGY GEOMETRY." In Perspectives of the Balkan Collaborations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702166_0008.

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Bai, Lu, Dingyu Xue, and Li Meng. "Geometric Interpretation for Riemann–Liouville Fractional-Order Integral." In 2020 Chinese Control And Decision Conference (CCDC). IEEE, 2020. http://dx.doi.org/10.1109/ccdc49329.2020.9163823.

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Gopan K., Gopika, Neelam Sinha, and Dinesh Babu Jayagopi. "Alcoholic EEG Analysis Using Riemann Geometry Based Framework." In 2019 27th European Signal Processing Conference (EUSIPCO). IEEE, 2019. http://dx.doi.org/10.23919/eusipco.2019.8902506.

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