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Relevant bibliographies by topics / Tensor Calculus

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Academic literature on the topic 'Tensor Calculus'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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Journal articles on the topic "Tensor Calculus"

1

Javaloyes, Miguel Angel. "Anisotropic tensor calculus." International Journal of Geometric Methods in Modern Physics 16, supp02 (2019): 1941001. http://dx.doi.org/10.1142/s0219887819410019.

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We introduce the anisotropic tensor calculus, which is a way of handling tensors that depends on the direction remaining always in the same class. This means that the derivative of an anisotropic tensor is a tensor of the same type. As an application we show how to define derivations using anisotropic linear connections in a manifold. In particular, we show that the Chern connection of a Finsler metric can be interpreted as the Levi-Civita connection and we introduce the anisotropic curvature tensor. We also relate the concept of anisotropic connection with the classical concept of linear conn

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Hackbusch, Wolfgang. "Numerical tensor calculus." Acta Numerica 23 (May 2014): 651–742. http://dx.doi.org/10.1017/s0962492914000087.

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The usual large-scale discretizations are applied to two or three spatial dimensions. The standard methods fail for higher dimensions because the data size increases exponentially with the dimension. In the case of a regular grid withngrid points per direction, a spatial dimensiondyieldsndgrid points. A grid function defined on such a grid is an example of a tensor of orderd. Here, suitable tensor formats help, since they try to approximate these huge objects by a much smaller number of parameters, which increases only linearly ind. In this way, data of sizend= 10001000can also be treated.This

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Lee, Wha-Suck, Johann Engelbrecht, and Rita Moller. "Tensor calculus: unlearning vector calculus." International Journal of Mathematical Education in Science and Technology 49, no. 2 (2017): 293–304. http://dx.doi.org/10.1080/0020739x.2017.1357849.

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N. J. Essa. "A Study in Tensor Analysis on Fractional Differential Implications." Advances in Nonlinear Variational Inequalities 28, no. 5s (2025): 31–44. https://doi.org/10.52783/anvi.v28.3541.

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This research investigates the synthesis of fractional calculus with tensor analysis in order to establish a comprehensive mathematical structure that successfully overcomes the limitations of classical tensor methods on systems having non-local and memory-dependent behavior. Classical tensor calculus, which relies on integer ordered calculus, often fails when applied to physical and engineering systems where interactions are not localized within immediate space and time neighborhood. Though it generalizes classical calculus by allowing derivatives and integrals of any real or complex order, f

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Kopský, V. "Tensor Calculus of Twinning." Acta Crystallographica Section A Foundations of Crystallography 56, s1 (2000): s153. http://dx.doi.org/10.1107/s010876730002359x.

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Dods, Victor. "Riemannian Calculus of Variations Using Strongly Typed Tensor Calculus." Mathematics 10, no. 18 (2022): 3231. http://dx.doi.org/10.3390/math10183231.

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In this paper, the notion of strongly typed language will be borrowed from the field of computer programming to introduce a calculational framework for linear algebra and tensor calculus for the purpose of detecting errors resulting from inherent misuse of objects and for finding natural formulations of various objects. A tensor bundle formalism, crucially relying on the notion of pullback bundle, will be used to create a rich type system with which to distinguish objects. The type system and relevant notation is designed to “telescope” to accommodate a level of detail appropriate to a set of

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Saukova, Y. N., and M. A. Hundzina. "Tensor Calculus in Digital Colorimetry." Devices and Methods of Measurements 13, no. 3 (2022): 216–27. http://dx.doi.org/10.21122/2220-9506-2022-13-3-216-227.

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Any object can have many implementations in the form of digital images and any digital image can be processed many times increasing or decreasing accuracy and reliability. Digital colorimetry faces the need to work out issues of ensuring accuracy, metrological traceability and reliability. The purpose of this work was to generalize approaches to the description of multidimensional quantized spaces and show the possibilities of their adaptation to digital colorimetry. This approach will minimize the private and global risks in measurements.For color identification digital colorimetry uses stand

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Chorlton, Frank, and A. N. Srivastava. "Tensor Calculus: Theory and Problems." Mathematical Gazette 79, no. 484 (1995): 245. http://dx.doi.org/10.2307/3620129.

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Аbiev, N. А., and Zh K. Askerbekova. "USING MAPLE TO TENSOR CALCULUS." Theoretical & Applied Science 83, no. 03 (2020): 175–80. http://dx.doi.org/10.15863/tas.2020.03.83.36.

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Vassilevich, D. V. "Tensor calculus on noncommutative spaces." Classical and Quantum Gravity 27, no. 9 (2010): 095020. http://dx.doi.org/10.1088/0264-9381/27/9/095020.

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Dissertations / Theses on the topic "Tensor Calculus"

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Van, Zyl Augustinus Johannes. "Metrical aspects of the complexification of tensor products and tensor norms." Thesis, Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-07142009-180520.

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Chappa, Eduardo. "The x-ray transform of tensor fields /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/5750.

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Miller, Charles E. "Vessiot: A Maple Package for Varational and Tensor Calculus in Multiple Coordinate Frames." DigitalCommons@USU, 1999. https://digitalcommons.usu.edu/etd/7115.

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The Maple V package Vessiot is an extensive set of procedures for performing computations in variational and tensor calculus. Vessiot is an extension of a previous package, Helmholtz, which was written by Cinnamon Hillyard for performing operations in the calculus of variations. The original set of commands included standard operators on differential forms, Euler-Lagrange operators, the Lie bracket operator, Lie derivatives, and homotopy operators. These capabilities are preserved in Vessiot, and enhanced so as to function in a multiple coordinate frame context. In addition, a substantial numb

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Ng, Ho Lun. "ROD-TV : surface reconstruction on demand by tensor voting /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?COMP%202003%20NG.

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Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2003.<br>Includes bibliographical references (leaves 123-127). Also available in electronic version. Access restricted to campus users.

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Young, Justin. "The twisted tensor L-function of GSp(4)." Columbus, Ohio : Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view.cgi?acc%5Fnum=osu1244049123.

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Jia, Jiaya. "Image and video correction by ND tensor voting with intensity and structure consideration /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?COMP%202004%20JIAJ.

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Thesis (Ph. D.)--Hong Kong University of Science and Technology, 2004.<br>Includes bibliographical references (leaves 107-112). Also available in electronic version. Access restricted to campus users.

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Yalanda, Muelas Yamit Yesid 1988. "Modificações do tensor de Ricci e aplicações." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306951.

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Orientador: Diego Sebastian Ledesma<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-21T14:31:48Z (GMT). No. of bitstreams: 1 YalandaMuelas_YamitYesid_M.pdf: 7930295 bytes, checksum: 93c5826f6c164fed94abacbb42db5256 (MD5) Previous issue date: 2012<br>Resumo: Nesta dissertação apresentamos generalizações de três resultados muito conhecidos em geometria Riemanniana: o Teorema de Myers, o Teorema de Bochner e o Teorema de decomposição de Cheeger-Gromoll. Em particular veremos que fa

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Mehta, Ketan. "NLCViz tensor visualization and defect detection in nematic liquid crystals /." Master's thesis, Mississippi State : Mississippi State University, 2006. http://sun.library.msstate.edu/ETD-db/ETD-browse/browse.

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Paula, Pedro Manfrim Magalhães de 1991. "Consequências geométricas associadas à limitação do tensor de Bakry-Émery-Ricci." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306950.

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Orientador: Diego Sebastian Ledesma<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-26T22:36:25Z (GMT). No. of bitstreams: 1 Paula_PedroManfrimMagalhaesde_M.pdf: 1130226 bytes, checksum: bbd8d375ddf7846ed2eafe024103e682 (MD5) Previous issue date: 2015<br>Resumo: Este trabalho apresenta um estudo sobre variedades Riemannianas que possuem um tensor de Bakry-Émery-Ricci com limitações. Inicialmente abordamos tanto aspectos da geometria Riemanniana tradicional como métricas e geodési

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Balasubramanian, Krishnakumar. "Learning without labels and nonnegative tensor factorization." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/33926.

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Supervised learning tasks like building a classifier, estimating the error rate of the predictors, are typically performed with labeled data. In most cases, obtaining labeled data is costly as it requires manual labeling. On the other hand, unlabeled data is available in abundance. In this thesis, we discuss methods to perform supervised learning tasks with no labeled data. We prove consistency of the proposed methods and demonstrate its applicability with synthetic and real world experiments. In some cases, small quantities of labeled data maybe easily available and supplemented with large qu

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Books on the topic "Tensor Calculus"

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De, U. C. Tensor Calculus. Alpha Science International, 2005.

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Hackbusch, Wolfgang. Tensor Spaces and Numerical Tensor Calculus. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28027-6.

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Hackbusch, Wolfgang. Tensor Spaces and Numerical Tensor Calculus. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35554-8.

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Hackbusch, Wolfgang. Tensor Spaces and Numerical Tensor Calculus. Springer Berlin Heidelberg, 2012.

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Kalita, Bhaben Chandra. Tensor Calculus and Applications. CRC Press, 2019. http://dx.doi.org/10.1201/9780429028670.

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Simmonds, James G. A brief on tensor analysis. 2nd ed. Springer, 1994.

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Simmonds, James G. A brief on tensor analysis. 2nd ed. Springer-Verlag, 1994.

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Spain, Barry. Tensor calculus: A concise course. Dover Publications, 2003.

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Defant, Andreas. Tensor norms and operator ideals. North-Holland, 1993.

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de Souza Sánchez Filho, Emil. Tensor Calculus for Engineers and Physicists. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31520-1.

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Book chapters on the topic "Tensor Calculus"

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Vilhelm, Václav. "Tensor Calculus." In Survey of Applicable Mathematics. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8308-4_8.

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Athanasiou, Kyriacos A., and Roman M. Natoli. "Tensor Calculus." In Introduction to Continuum Biomechanics. Springer International Publishing, 2008. http://dx.doi.org/10.1007/978-3-031-01626-4_1.

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Vittorio, Nicola. "Tensor Calculus." In General Relativity. CRC Press, 2025. https://doi.org/10.1201/9781032674858-1.

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Grinfeld, Pavel. "Why Tensor Calculus?" In Introduction to Tensor Analysis and the Calculus of Moving Surfaces. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7867-6_1.

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Wohlhart, K. "Motor Tensor Calculus." In Solid Mechanics and Its Applications. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0333-6_10.

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Montangero, Simone. "Numerical Calculus." In Introduction to Tensor Network Methods. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01409-4_3.

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Hackbusch, Wolfgang. "Tensor Operations." In Tensor Spaces and Numerical Tensor Calculus. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28027-6_13.

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Hackbusch, Wolfgang. "Tensor Operations." In Tensor Spaces and Numerical Tensor Calculus. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35554-8_13.

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Hackbusch, Wolfgang. "Introduction." In Tensor Spaces and Numerical Tensor Calculus. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28027-6_1.

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Hackbusch, Wolfgang. "Tensor Subspace Approximation." In Tensor Spaces and Numerical Tensor Calculus. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28027-6_10.

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Conference papers on the topic "Tensor Calculus"

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Amorim, Carolina Lemonge, Luisa Fiorot Dell' Santo, Giovanna Barreto de Souza Machado, Roberta Vieira Gonçalves de Souza, and Larissa Arêdes Monteiro. "O Ofuscamento em salas de aula: análise de dispositivos de controle da luz natural." In XX ENCONTRO NACIONAL DE TECNOLOGIA DO AMBIENTE CONSTRUÍDO. UFAL, 2024. http://dx.doi.org/10.46421/entac.v20i1.6205.

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O plug-in ClimateStudio para Rhinoceros permitiu de forma inovadora que se calcule a distribuição anual de ofuscamento em um ambiente calculando dados horários da Probabilidade de Ofuscamento pela Luz Natural, DGP, introduzindo a métrica Ofuscamento Perturbador Espacial, sDG, que espacializa o ofuscamento considerado perturbador ou intolerável (DPG > 38%) em pelo menos 5% do tempo de ocupação para 8 direções de visualização em cada ponto durante o ano. Esta nova métrica foi incorporada à NBR 15.215-3:2024, aprovada em junho deste ano. No presente trabalho foi feita avaliação de dispositivos

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Tsilionis, Efthimis, Alexander Artikis, and Georgios Paliouras. "A Tensor-Based Formalization of the Event Calculus." In Thirty-Third International Joint Conference on Artificial Intelligence {IJCAI-24}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/ijcai.2024/397.

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We present a formalization of the Event Calculus (EC) in tensor spaces. The motivation for a tensor-based predicate calculus comes from the area of composite event recognition (CER). As a CER engine, we adopt a logic programming implementation of EC with optimizations for continuous narrative assimilation on data streams. We show how to evaluate EC rules algebraically and solve a linear equation to compute the corresponding models. We demonstrate the scalability of our approach with the use of large datasets from a real-world application domain, and show it outperforms significantly symbolic E

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De Virgilio, Roberto, and Franco Milicchio. "RFID data analysis using tensor calculus for supply chain management." In the 20th ACM international conference. ACM Press, 2011. http://dx.doi.org/10.1145/2063576.2063828.

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BONANOS, S. "CAPABILITIES OF THE MATHEMATICA PACKAGE 'RIEMANNIAN GEOMETRY AND TENSOR CALCULUS'." In Proceedings of the 10th Hellenic Relativity Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812791238_0022.

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Akinola, A. P. "Tensor as a tool in engineering analysis." In Advanced Topics in Mechanics of Materials, Structures and Construction. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902592-44.

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Abstract. This paper underscores the potency of the invariant character of tensor and its derivative concepts and accentuate the synergy between isotropic tensor and other tensors and the corresponding vector operations. The equivalence of covariant derivative in a curvilinear coordinates system embedded with a non-constant vector field and the partial derivative in an affine coordinates system ingrained with a constant vector field is interrogated. The corresponding role of the Christofell symbols as the affine connector of vectors with their derivatives in a variable field are compared to th

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Condurache, Daniel. "Higher-Order Kinematics of Lower-Pair Chains With Hyper-Multidual Algebra." In ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/detc2022-88781.

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Abstract This paper proposes a new computational method based on vector and tensor calculus and the properties of dual and multidual algebra for higher-order acceleration field in the case of rigid body motion. A closed-form coordinate-free solution is presented, this result being generated by the morphism between the Lie group of the rigid body displacements and the Lie group of the orthogonal hyper-multidual tensors. The solution is put into practice for higher-order kinematics analysis of lower-pair serial chains. Specific cases are chosen to evaluate the properties for velocity, accelerati

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Chandra, Saroj Kumar, and Manish Kumar Bajpai. "EFFECTIVE ALGORITHM FOR BENIGN BRAIN TUMOR DETECTION USING FRACTIONAL CALCULUS." In TENCON 2018 - 2018 IEEE Region 10 Conference. IEEE, 2018. http://dx.doi.org/10.1109/tencon.2018.8650163.

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Leon Torres, Genly, Miguel A. García-Aspeitia, Guillermo Fernandez-Anaya, Alberto Hernández-Almada, Juan Magaña, and Esteban González. "Cosmology under the fractional calculus approach: a possible $H_0$ tension resolution?" In Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity". Sissa Medialab, 2023. http://dx.doi.org/10.22323/1.436.0248.

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Ye, Hua, YingHui Wu, and K. K. Wang. "An Optimization Scheme for Part Quality in Injection Molding." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0625.

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Abstract In this paper, a mathematical definition of part warpage is presented by strain tensors and part quality is quantified via numerical simulation. An objective function of part quality is proposed that must be optimized. The resulting optimum is obtained by iterative search in the constrained space based on an numerical optimization algorithm — Simulated Annealing method, which is a global and robust method. The efficiency of the simulated Annealing method is in between calculus-based methods, such as DFP, BFGS, MFD and common search schemes, such as, simplex and exhaust search method,

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Nabelek, Patrik V., and Solomon C. Yim. "A Nonlinear Integrable Water-Wave System Model for Gravity and Surface-Tension Waves." In ASME 2024 43rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/omae2024-127034.

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Abstract The completely integrable case of the nonlinear Bousinesq abcd system describing 1+1-dimensional weakly nonlinear and weakly nondispersive model for gravity and capillary waves is developed. The case of gravity and surface-tension solutions for the wave elevation and transverse parcel velocity on the surface of the fluid is examined in detail. The total wave energy of the system is written in Hamiltonian canonical variables and can be used to generate the dynamics in this model from a Poisson bracket. The Poisson bracket and dynamics is defined explicitly using the calculus of variati

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Reports on the topic "Tensor Calculus"

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Viscarra Andrade, Hernán. La brecha fiscal horizontal en Ecuador y su igualación. Inter-American Development Bank, 2017. http://dx.doi.org/10.18235/0007183.

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Este trabajo analiza el sistema ecuatoriano de finanzas gubernamentales desde una perspectiva de equidad territorial. Para ello, se valoran las reformas que se adoptaron en ese ámbito durante la última década desde la óptica de la literatura sobre igualación fiscal. Asimismo, se cuantifica la desigual capacidad de los municipios ecuatorianos para generar ingresos propios y se calcula el efecto ecualizador que tienen los distintos componentes de las transferencias actuales. Finalmente, se exploran varias opciones de reforma para introducir una transferencia explícita de igualación, simulándose

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Andrade Nieves, Mónica María, and Martha Cecilia Velásquez Ceballos. El cálculo de la dosis a partir de un caso ejemplificado: enfermería y medicina roles ligados a la seguridad durante la prescripción y la administración de fármacos. Ediciones Universidad Cooperativa de Colombia, 2023. http://dx.doi.org/10.16925/gcnc.60.

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En la normativa colombiana existen componentes éticos y legales que permean el proceso de la prescripción y administración farmacológica para conseguir una práctica segura. El cálculo de la dosis representa dentro del rol del profesional médico y de enfermería uno de los mayores desafíos en materia de las competencias laborales, toda vez que para abordar de manera integral un proceso patológico se requiere contar, en muchos casos, con un plan terapéutico aplicado, ya sea con fines diagnósticos, de intervención terapéutica, paliativo, profiláctico, entre otros. Para la determinación de la dosis

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Tinta, Jule Kaïni, Mouhamed Zerbo, Fabrizio Santoro, Awa Diouf, and Kèrabouro Palé. Services électroniques et conformité fiscale : l’expérience des petites et moyennes entreprises au Burkina Faso. Institute of Development Studies, 2025. https://doi.org/10.19088/ictd.2024.115.

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Les services fiscaux électroniques représentent une opportunité prometteuse de renforcer la conformité fiscale des entreprises dans les pays en développement, en particulier en Afrique, où le niveau d’informalité des entreprises reste élevé. Ces services offrent un accès plus large, plus sûr et plus rapide aux procédures fiscales afin de permettre aux entreprises de s’acquitter plus efficacement de leurs obligations à cet égard. L’utilisation de plateformes électroniques aide également les entreprises à tenir des registres financiers plus précis, ce qui améliore la qualité des déclarations fis

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Aparicio Llanos, Amada. Serie sobre hospitalizaciones evitables y fortalecimiento de la atención primaria en salud: El caso de Costa Rica. Inter-American Development Bank, 2012. http://dx.doi.org/10.18235/0007671.

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Costa Rica, tiene una población de 4.7 millones de habitantes distribuido en 51,100 Km2. Un sistema de salud público que cubre a 86% de la población y brinda servicios de salud mediante 103 áreas de salud de atención primaria y 29 hospitales. El presente estudio tiene como objetivo calcular el número de hospitalizaciones por condiciones sensibles a atención primaria asociadas a cada uno de los grupos diagnósticos establecidos en la lista de Alfradique et al (2009) y la proporción de estas en relación al total de hospitalizaciones en el año. Los datos se obtienen del Seguro Público de Salud cos

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Jorgensen, Natalia, Catalina Gutiérrez, Úrsula Giedion, and Daniel Ollendorf. ¿Cuál es el costo de oportunidad de financiar medicamentos de alto costo?: el caso de República Dominicana. Banco Interamericano de Desarrollo, 2023. http://dx.doi.org/10.18235/0005162.

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Estamos en la situación afortunada de tener a nuestra disposición opciones de tratamiento que no imaginábamos hace apenas unas décadas. De hecho, esta mayor disponibilidad, junto con el envejecimiento de la población y los cambios epidemiológicos, está presionando el gasto en salud en todos los países del mundo. Dado que los recursos son finitos, asignar recursos a una tecnología es necesariamente no destinarlos a otras. Como todos los países del mundo, República Dominicana enfrenta la presión financiera de cubrir medicamentos de alto costo. Algunos de estos representan importantes avances par

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