Relevant bibliographies by topics / Symmetric tensor

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Symmetric tensor'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Symmetric tensor"

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SEGAL, ARKADY Y. "POINT PARTICLE–SYMMETRIC TENSORS INTERACTION AND GENERALIZED GAUGE PRINCIPLE." International Journal of Modern Physics A 18, no. 27 (October 30, 2003): 5021–38. http://dx.doi.org/10.1142/s0217751x03015842.

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The model of a point particle in the background of external symmetric tensor fields is analyzed from the higher spin theory perspective. It is proposed that the gauge transformations of the infinite collection of symmetric tensor fields may be read off from the covariance properties of the point particle action w.r.t. general canonical transformations. The gauge group turns out to be a semidirect product of all phase space canonical transformations to an Abelian ideal of "hyperWeyl" transformations and includes U(1) and general coordinate symmetries as a subgroup. A general configuration of external fields includes rank-0,1,2 symmetric tensors, so the whole system may be truncated to ordinary particle in Einstein–Maxwell backgrounds by switching off the higher-rank symmetric tensors. When otherwise all the higher rank tensors are switched on, the full gauge group provides a huge gauge symmetry acting on the whole infinite collection of symmetric tensors. We analyze this gauge symmetry and show that the symmetric tensors which couple to the point particle should not be interpreted as Fronsdal gauge fields, but rather as gauge fields of some conformal higher spin theories. It is shown that the Fronsdal fields system possesses twice as many symmetric tensor fields as is contained in the general background of the point particle. Besides, the particle action in general backgrounds is shown to reproduce De Wit–Freedman point particle–symmetric tensors first order interaction suggested many years ago, and extends their result to all orders in interaction, while the generalized equivalence principle completes the first order covariance transformations found in their paper, in all orders.
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Comon, Pierre, Gene Golub, Lek-Heng Lim, and Bernard Mourrain. "Symmetric Tensors and Symmetric Tensor Rank." SIAM Journal on Matrix Analysis and Applications 30, no. 3 (January 2008): 1254–79. http://dx.doi.org/10.1137/060661569.

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Dresselhaus, M. S., and G. Dresselhaus. "Note on sufficient symmetry conditions for isotropy of the elastic moduli tensor." Journal of Materials Research 6, no. 5 (May 1991): 1114–18. http://dx.doi.org/10.1557/jmr.1991.1114.

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Group theoretical methods are used to obtain the form of the elastic moduli matrices and the number of independent parameters for various symmetries. Particular attention is given to symmetry groups for which 3D and 2D isotropy is found for the stress-strain tensor relation. The number of independent parameters is given by the number of times the fully symmetric representation is contained in the direct product of the irreducible representations for two symmetrical second rank tensors. The basis functions for the lower symmetry groups are found from the compatibility relations and are explicitly related to the elastic moduli. These types of symmetry arguments should be generally useful in treating the elastic properties of solids and composites.
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Perras, Frédéric A., and David L. Bryce. "A ZORA-DFT and NLMO study of the one-bond fluorine–X indirect nuclear spin-spin coupling tensors for various VSEPR geometries." Canadian Journal of Chemistry 89, no. 7 (July 2011): 789–802. http://dx.doi.org/10.1139/v10-172.

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Zeroth-order regular approximation (ZORA) density functional theory (DFT) calculations of one-bond X–19F indirect nuclear spin-spin coupling (J) tensors were performed on a series of fluorine-containing compounds covering several valence shell electron pair repulsion (VSEPR) theory geometries for which J, by symmetry, is not required to be axially symmetric. The calculations show that the antisymmetric components of J are only of the same order of magnitude as the principal components of the symmetric J-coupling tensor for a few geometries, and that in cases of approximate axial symmetry along the bond, J remains nearly axially symmetric with its unique component along the bond. In general, different species having the same nominal geometry tend to have similar tensor orientations, magnitudes of anisotropy of J relative to the isotropic coupling constant, as well as the same dominant contributions from the different coupling mechanisms. Structures are also systematically modified to determine how the tensor components depend on geometrical parameters. The isotropic coupling constants are subsequently interpreted using a natural localized molecular orbital (NLMO) approach. Our results could prove to be useful for future experimental characterizations of J tensors in systems having symmetry properties that do not force J to be axially symmetric or coincident with the dipolar coupling tensor.
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Zlatanovic, Milan, and Svetislav Mincic. "Identities for curvature tensors in generalized Finsler space." Filomat 23, no. 2 (2009): 34–42. http://dx.doi.org/10.2298/fil0902034z.

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In the some previous works we have obtained several curvature tensors in the generalized Finsler space GFN (the space with non-symmetric basic tensor and non-symmetric connection in Rund's sence). In this work we study identities for the mentioned tensors (the antisymmetriy with respect of two indices, the cyclic symmetry, the symmetry with respect of pairs of indices).
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Bóna, Andrej. "Symmetry characterization and measurement errors of elasticity tensors." GEOPHYSICS 74, no. 5 (September 2009): WB75—WB78. http://dx.doi.org/10.1190/1.3184013.

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It is often desirable to approximate a full anisotropic tensor, given by 21 independent parameters, by one with a higher symmetry. If one considers measurement errors of an elasticity tensor, the standard approaches of finding the best approximation by a higher symmetric tensor do not produce the most likely tensor. To find such a tensor, I replace the distance metric used in previous studies with one based on probability distribution functions of the errors of the measured quantities. In the case of normally distributed errors, the most likely tensor with higher symmetries coincides with the closest higher symmetric tensor, using a deviation-scaled Euclidean metric.
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Suh, Young Jin, Carlo Alberto Mantica, Uday Chand De, and Prajjwal Pal. "Pseudo B-symmetric manifolds." International Journal of Geometric Methods in Modern Physics 14, no. 09 (August 2, 2017): 1750119. http://dx.doi.org/10.1142/s0219887817501195.

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In this paper, we introduce a new tensor named [Formula: see text]-tensor which generalizes the [Formula: see text]-tensor introduced by Mantica and Suh [Pseudo [Formula: see text] symmetric Riemannian manifolds with harmonic curvature tensors, Int. J. Geom. Methods Mod. Phys. 9(1) (2012) 1250004]. Then, we study pseudo-[Formula: see text]-symmetric manifolds [Formula: see text] which generalize some known structures on pseudo-Riemannian manifolds. We provide several interesting results which generalize the results of Mantica and Suh [Pseudo [Formula: see text] symmetric Riemannian manifolds with harmonic curvature tensors, Int. J. Geom. Methods Mod. Phys. 9(1) (2012) 1250004]. At first, we prove the existence of a [Formula: see text]. Next, we prove that a pseudo-Riemannian manifold is [Formula: see text]-semisymmetric if and only if it is Ricci-semisymmetric. After this, we obtain a sufficient condition for a [Formula: see text] to be pseudo-Ricci symmetric in the sense of Deszcz. Also, we obtain the explicit form of the Ricci tensor in a [Formula: see text] if the [Formula: see text]-tensor is of Codazzi type. Finally, we consider conformally flat pseudo-[Formula: see text]-symmetric manifolds and prove that a [Formula: see text] spacetime is a [Formula: see text]-wave under certain conditions.
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Huang, Zheng-Hai, and Liqun Qi. "Stationary Probability Vectors of Higher-Order Two-Dimensional Symmetric Transition Probability Tensors." Asia-Pacific Journal of Operational Research 37, no. 04 (July 24, 2020): 2040019. http://dx.doi.org/10.1142/s0217595920400199.

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In this paper, we investigate stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. We show that there are two special symmetric transition probability tensors of order [Formula: see text] dimension 2, which have and only have two stationary probability vectors; and any other symmetric transition probability tensor of order [Formula: see text] dimension 2 has a unique stationary probability vector. As a byproduct, we obtain that any symmetric transition probability tensor of order [Formula: see text] dimension 2 has a unique positive stationary probability vector, and that any symmetric irreducible transition probability tensor of order [Formula: see text] dimension 2 has a unique stationary probability vector.
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BERGMAN, JONAS, S. BRIAN EDGAR, and MAGNUS HERBERTHSON. "THE BACH TENSOR AND OTHER DIVERGENCE-FREE TENSORS." International Journal of Geometric Methods in Modern Physics 02, no. 01 (February 2005): 13–21. http://dx.doi.org/10.1142/s0219887805000442.

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In four dimensions, we prove that the Bach tensor is the only symmetric divergence-free 2-tensor which is also quadratic in Riemann and has good conformal behavior. In n > 4 dimensions, we prove that there are no symmetric divergence-free 2-tensors which are also quadratic in Riemann and have good conformal behavior, nor are there any symmetric divergence-free 2-tensors which are concomitants of the metric tensor gab together with its first two derivatives, and have good conformal behavior.
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Olive, M., B. Desmorat, B. Kolev, and R. Desmorat. "Reduced algebraic conditions for plane or axial tensorial symmetries." Mathematics and Mechanics of Solids 25, no. 12 (June 15, 2020): 2155–77. http://dx.doi.org/10.1177/1081286520920691.

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In this article, we formulate necessary and sufficient polynomial equations for the existence of a symmetry plane or an order-two axial symmetry for a totally symmetric tensor of order [Formula: see text]. These conditions are effective and of degree [Formula: see text] (the tensor’s order) in the components of the normal to the plane (or the direction of the axial symmetry). These results are then extended to obtain necessary and sufficient polynomial conditions for the existence of such symmetries for an elasticity tensor, a piezo-electricity tensor or a piezo-magnetism pseudo-tensor.
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Dissertations / Theses on the topic "Symmetric tensor"

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Erdtman, Elias, and Carl Jönsson. "Tensor Rank." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-78449.

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This master's thesis addresses numerical methods of computing the typical ranks of tensors over the real numbers and explores some properties of tensors over finite fields. We present three numerical methods to compute typical tensor rank. Two of these have already been published and can be used to calculate the lowest typical ranks of tensors and an approximate percentage of how many tensors have the lowest typical ranks (for some tensor formats), respectively. The third method was developed by the authors with the intent to be able to discern if there is more than one typical rank. Some results from the method are presented but are inconclusive. In the area of tensors over nite filds some new results are shown, namely that there are eight GLq(2) GLq(2) GLq(2)-orbits of 2 2 2 tensors over any finite field and that some tensors over Fq have lower rank when considered as tensors over Fq2 . Furthermore, it is shown that some symmetric tensors over F2 do not have a symmetric rank and that there are tensors over some other finite fields which have a larger symmetric rank than rank.
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Jiang, Shenghan. "Symmetric topological phases and tensor network states:." Thesis, Boston College, 2017. http://hdl.handle.net/2345/bc-ir:107410.

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Thesis advisor: Ying Ran
Classification and simulation of quantum phases are one of main themes in condensed matter physics. Quantum phases can be distinguished by their symmetrical and topological properties. The interplay between symmetry and topology in condensed matter physics often leads to exotic quantum phases and rich phase diagrams. Famous examples include quantum Hall phases, spin liquids and topological insulators. In this thesis, I present our works toward a more systematically understanding of symmetric topological quantum phases in bosonic systems. In the absence of global symmetries, gapped quantum phases are characterized by topological orders. Topological orders in 2+1D are well studied, while a systematically understanding of topological orders in 3+1D is still lacking. By studying a family of exact solvable models, we find at least some topological orders in 3+1D can be distinguished by braiding phases of loop excitations. In the presence of both global symmetries and topological orders, the interplay between them leads to new phases termed as symmetry enriched topological (SET) phases. We develop a framework to classify a large class of SET phases using tensor networks. For each tensor class, we can write down generic variational wavefunctions. We apply our method to study gapped spin liquids on the kagome lattice, which can be viewed as SET phases of on-site symmetries as well as lattice symmetries. In the absence of topological order, symmetry could protect different topological phases, which are often referred to as symmetry protected topological (SPT) phases. We present systematic constructions of tensor network wavefunctions for bosonic symmetry protected topological (SPT) phases respecting both onsite and spatial symmetries
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譚天佑 and Tin-yau Tam. "A study of induced operators on symmetry classes of tensors." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31230738.

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Tam, Tin-yau. "A study of induced operators on symmetry classes of tensors /." [Hong Kong] : University of Hong Kong, 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12322593.

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Junior, Leonidas Sandoval. "Partículss relativístivas com spin e campos tensoriais antissimétricos." Universidade de São Paulo, 1990. http://www.teses.usp.br/teses/disponiveis/43/43132/tde-19062015-151034/.

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Neste trabalho, fazemos um estudo dos campos tensoriais antissimétricos em geral e, em particular, do campo tensorial antissimétrico de ordem dois. Utilizando o método de quantização BRST-BFV para teorias redutíveis no formalismo hamiltoniano, mostramos a equivalência quântica do campo tensorial antissimétrico de ordem dois não-massivo ao campo escalar em 4 dimensões e ao campo vetorial no gauge de Lorentz em 5 dimensões. Também é mostrada a equivalência entre as formulações de 1ª e 2ª ordem do campo tensorial antissimétrico de ordem dois. Por fim, é efetuada a quantização BRST-BFV de um modelo de partícula relativística com spin com duas supersimetrias acrescido de um termo Chern-Simons, mostrando que a amplitude de transição obtida equivale à amplitude de transição do \"rotacional\" de um campo tensorial antissimétrico de ordem qualquer. O caso massivo também é tratado brevemente.
In this work, we make a study of anti symmetric tensor fields in general, and, in particular, of the anti symmetric tensor fields of order two. Using the BRST-BFV quantization method for reducible theories in the Hamiltonian formalism, we show the quantum equivalence of the massless anti symmetric tensor field of order two to the scalar field in 4 dimensions, and to the vector field in the Lorentz gauge in 5 dimensions. It is also shown the quantum equivalence between the 1st and 2nd order formulations for the anti symmetric tensor field of order two. Finally, it is made the BRST-BFV quantization of a model of relativistic spinning particle with two super symmetries with a Chern-Simons term, showing that the transition amplitude obtained is equivalent to the transition amplitude for the field strength of an anti symmetric tensor field of any order. The massive case is also treated in breaf.
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Wasserman, Thomas A. "A reduced tensor product of braided fusion categories over a symmetric fusion category." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:58c6aae3-cb0e-4381-821f-f7291ff95657.

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The main goal of this thesis is to construct a tensor product on the 2-category BFC-A of braided fusion categories containing a symmetric fusion category A. We achieve this by introducing the new notion of Z(A)-crossed braided categories. These are categories enriched over the Drinfeld centre Z(A) of the symmetric fusion category. We show that Z(A) admits an additional symmetric tensor structure, which makes it into a 2-fold monoidal category. ByTannaka duality, A= Rep(G) (or Rep(G; w)) for a finite group G (or finite super-group (G,w)). Under this identication Z(A) = VectG[G], the category of G-equivariant vector bundles over G, and we show that the symmetric tensor product corresponds to (a super version of) to the brewise tensor product. We use the additional symmetric tensor product on Z(A) to define the composition in Z(A)-crossed braided categories, whereas the usual tensor product is used for the monoidal structure. We further require this monoidal structure to be braided for the switch map that uses the braiding in Z(A). We show that the 2-category Z(A)-XBF is equivalent to both BFC=A and the 2-category of (super)-G-crossed braided categories. Using the former equivalence, the reduced tensor product on BFC-A is dened in terms of the enriched Cartesian product of Z(A)-enriched categories on Z(A)-XBF. The reduced tensor product obtained in this way has as unit Z(A). It induces a pairing between minimal modular extensions of categories having A as their Mueger centre.
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Comes, Jonathan 1981. "Blocks in Deligne's category Rep(St)." Thesis, University of Oregon, 2010. http://hdl.handle.net/1794/10867.

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x, 81 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.
We give an exposition of Deligne's tensor category Rep(St) where t is not necessarily an integer. Thereafter, we give a complete description of the blocks in Rep(St) for arbitrary t. Finally, we use our result on blocks to decompose tensor products and classify tensor ideals in Rep(St).
Committee in charge: Victor Ostrik, Chairperson, Mathematics; Daniel Dugger, Member, Mathematics; Jonathan Brundan, Member, Mathematics; Alexander Kleshchev, Member, Mathematics; Michael Kellman, Outside Member, Chemistry
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Vasilev, Stefan [Verfasser], and Ilka [Akademischer Betreuer] Agricola. "On metric connections with totally skew-symmetric torsion tensor / Stefan Vasilev ; Betreuer: Ilka Agricola." Marburg : Philipps-Universität Marburg, 2020. http://d-nb.info/1205879722/34.

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Gong, Xue. "Dynamical Systems in Cell Division Cycle, Winnerless Competition Models, and Tensor Approximations." Ohio University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1458303716.

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Ernst, Moritz Fabian [Verfasser], and Rochus [Akademischer Betreuer] Klesse. "Symmetric Functionals over Tensor Product Spaces in the Context of Quantum Information Theory / Moritz Fabian Ernst. Gutachter: Rochus Klesse." Köln : Universitäts- und Stadtbibliothek Köln, 2014. http://d-nb.info/1064693377/34.

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Books on the topic "Symmetric tensor"

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Baerheim, Reidar. Coordinate free representation of the hierarchically symmetric tensor of rank 4 in determination of symmetry. [Utrecht: Faculteit Aardwetenschappen, Universiteit Utrecht], 1998.

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Tensor categories. Providence, Rhode Island: American Mathematical Society, 2015.

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A, Lohe M., ed. Quantum group symmetry and q-tensor algebras. Singapore: World Scientific, 1995.

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Griffith, J. S. The irreducible tensor method for molecular symmetry groups. Mineola, NY: Dover Publications, 2006.

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Conference on Hopf Algebras and Tensor Categories (2011 University of Almeria). Hopf algebras and tensor categories: International conference, July 4-8, 2011, University of Almería, Almería, Spain. Edited by Andruskiewitsch Nicolás 1958-, Cuadra Juan 1975-, and Torrecillas B. (Blas) 1958-. Providence, Rhode Island: American Mathematical Society, 2013.

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Spherical tensor operators: Tables of matrix elements and symmetries. Singapore: World Scientific, 1990.

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Isett, Philip. The Divergence Equation. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0006.

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This chapter introduces the divergence equation. A key ingredient in the proof of the Main Lemma for continuous solutions is to find special solutions to this divergence equation, which includes a smooth function and a smooth vector field on ³, plus an unknown, symmetric (2, 0) tensor. The chapter presents a proposition that takes into account a condition relating to the conservation of momentum as well as a condition that reflects Newton's law, which states that every action must have an equal and opposite reaction. This axiom, in turn, implies the conservation of momentum in classical mechanics. In view of Noether's theorem, the constant vector fields which act as Galilean symmetries of the Euler equation are responsible for the conservation of momentum. The chapter shows proof that all solutions to the Euler-Reynolds equations conserve momentum.
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Cates, M. Complex fluids: the physics of emulsions. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0010.

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These lectures start with the mean field theory for a symmetric binary fluid mixture, addressing interfacial tension, the stress tensor, and the equations of motion (Model H). We then consider the phase separation kinetics of such a mixture: coalescence, Ostwald ripening, its prevention by trapped species, coarsening of bicontinuous states, and the role of shear flow. The third topic addressed is the stabilization of emulsions by using surfactants to reduce or even eliminate the interfacial tension between phases; the physics of bending energy, which becomes relevant in the latter case, is then presented briefly. The final topic is the creation of long-lived metastable emulsions by adsorption of colloidal particles or nanoparticles at the fluid–fluid interface; alongside spherical droplets, these methods can be used to create a range of unconventional structures with potentially interesting properties that are only now being explored.
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Biedenharn, L. C., and M. A. Lohe. Quantum Group Symmetry and Q-Tensor Algebras. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/2815.

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Kachelriess, Michael. Spacetime symmetries. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0006.

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This chapter introduces tensor fields, covariant derivatives and the geodesic equation on a (pseudo-) Riemannian manifold. It discusses how symmetries of a general space-time can be found from the Killing equation, and how the existence of Killing vector fields is connected to global conservation laws.
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Book chapters on the topic "Symmetric tensor"

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Montangero, Simone. "Symmetric Tensor Networks." In Introduction to Tensor Network Methods, 79–93. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01409-4_6.

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Herberthson, Magnus, Evren Özarslan, and Carl-Fredrik Westin. "Variance Measures for Symmetric Positive (Semi-) Definite Tensors in Two Dimensions." In Mathematics and Visualization, 3–22. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56215-1_1.

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AbstractCalculating the variance of a family of tensors, each represented by a symmetric positive semi-definite second order tensor/matrix, involves the formation of a fourth order tensor $$R_{abcd}$$ R abcd . To form this tensor, the tensor product of each second order tensor with itself is formed, and these products are then summed, giving the tensor $$R_{abcd}$$ R abcd the same symmetry properties as the elasticity tensor in continuum mechanics. This tensor has been studied with respect to many properties: representations, invariants, decomposition, the equivalence problem et cetera. In this paper we focus on the two-dimensional case where we give a set of invariants which ensures equivalence of two such fourth order tensors $$R_{abcd}$$ R abcd and $$\widetilde{R}_{abcd}$$ R ~ abcd . In terms of components, such an equivalence means that components $$R_{ijkl}$$ R ijkl of the first tensor will transform into the components $$\widetilde{R}_{ijkl}$$ R ~ ijkl of the second tensor for some change of the coordinate system.
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Gallier, Jean, and Jocelyn Quaintance. "Tensor Algebras and Symmetric Algebras." In Differential Geometry and Lie Groups, 11–76. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46047-1_2.

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Wang, Bei, and Ingrid Hotz. "Robustness for 2D Symmetric Tensor Field Topology." In Mathematics and Visualization, 3–27. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61358-1_1.

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Crumeyrolle, Albert. "Tensor Algebras, Exterior Algebras and Symmetric Algebras." In Orthogonal and Symplectic Clifford Algebras, 21–36. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-015-7877-6_2.

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Harmouch, Jouhayna, Bernard Mourrain, and Houssam Khalil. "Decomposition of Low Rank Multi-symmetric Tensor." In Mathematical Aspects of Computer and Information Sciences, 51–66. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-72453-9_4.

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Zhang, Yue, Jonathan Palacios, and Eugene Zhang. "Topology of 3D Linear Symmetric Tensor Fields." In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, 73–91. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15090-1_4.

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Sharafutdinov, V. A. "Ray Transform of Symmetric Tensor Fields for a Spherically Symmetric Metric." In Inverse Problems, Tomography, and Image Processing, 177–87. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4020-7975-7_11.

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Zhang, Yue, Hongyu Nie, and Eugene Zhang. "Degenerate Curve Bifurcations in 3D Linear Symmetric Tensor Fields." In Mathematics and Visualization, 23–38. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56215-1_2.

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Abstract3D symmetric tensor fields have a wide range of applications in medicine, science, and engineering. The topology of tensor fields can provide key insight into their structures. In this paper we study the number of possible topological bifurcations in 3D linear tensor fields. Using the linearity/planarity classification and wedge/trisector classification, we explore four types of bifurcations that can change the number and connectivity in the degenerate curves as well as the number and location of transition points on these degenerate curves. This leads to four types of bifurcations among nine scenarios of 3D linear tensor fields.
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Ji, Nan, Yuanyuan Luo, and Yan Yan. "Applications of Schouten Tensor on Conformally Symmetric Riemannie Manifold." In Communications in Computer and Information Science, 117–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16336-4_16.

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Conference papers on the topic "Symmetric tensor"

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Cai, Jonathon, Muthu Baskaran, Benoit Meister, and Richard Lethin. "Optimization of symmetric tensor computations." In 2015 IEEE High Performance Extreme Computing Conference (HPEC). IEEE, 2015. http://dx.doi.org/10.1109/hpec.2015.7322458.

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Hesselink, Lambertus, Yingmei Lavin, Rajesh Batra, Yuval Levy, Lambertus Hesselink, Yingmei Lavin, Rajesh Batra, and Yuval Levy. "The topology of symmetric tensor fields." In 13th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-2084.

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Mueller-Smith, Christopher, and Predrag Spasojevic. "Column-wise symmetric block partitioned tensor decomposition." In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2016. http://dx.doi.org/10.1109/icassp.2016.7472219.

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Marmin, Arthur, Marc Castella, and Jean-Christophe Pesquet. "Detecting the Rank of a Symmetric Tensor." In 2019 27th European Signal Processing Conference (EUSIPCO). IEEE, 2019. http://dx.doi.org/10.23919/eusipco.2019.8902781.

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Kretzschmar, Vanessa, Fabian Gunther, Markus Stommel, and Gerik Scheuermann. "Tensor Spines - A Hyperstreamlines Variant Suitable for Indefinite Symmetric Second-Order Tensors." In 2020 IEEE Pacific Visualization Symposium (PacificVis). IEEE, 2020. http://dx.doi.org/10.1109/pacificvis48177.2020.1008.

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Ermis, B., A. T. Cemgil, and E. Acar. "Generalized coupled symmetric tensor factorization for link prediction." In 2013 21st Signal Processing and Communications Applications Conference (SIU). IEEE, 2013. http://dx.doi.org/10.1109/siu.2013.6531411.

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Li, Qiuwei, and Gongguo Tang. "Convex and nonconvex geometries of symmetric tensor factorization." In 2017 51st Asilomar Conference on Signals, Systems, and Computers. IEEE, 2017. http://dx.doi.org/10.1109/acssc.2017.8335189.

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Kouchaki, Samaneh, and Saeid Sanei. "Symmetric tensor decomposition of narrowband single channel signals." In 2014 IEEE 8th Sensor Array and Multichannel Signal Processing Workshop (SAM). IEEE, 2014. http://dx.doi.org/10.1109/sam.2014.6882440.

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Barbier, Jean, Clement Luneau, and Nicolas Macris. "Mutual Information for Low-Rank Even-Order Symmetric Tensor Factorization." In 2019 IEEE Information Theory Workshop (ITW). IEEE, 2019. http://dx.doi.org/10.1109/itw44776.2019.8989408.

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Giannios, Dimitrios. "Spherically symmetric, static spacetimes in a tensor-vector-scalar theory." In RECENT ADVANCES IN ASTRONOMY AND ASTROPHYSICS: 7th International Conference of the Hellenic Astronomical Society. AIP, 2006. http://dx.doi.org/10.1063/1.2348050.

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Reports on the topic "Symmetric tensor"

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Dresselhaus, M. S., and G. Dresselhaus. Note on sufficient symmetry conditions for isotropy of the elastic moduli tensor. Office of Scientific and Technical Information (OSTI), August 1990. http://dx.doi.org/10.2172/6449598.

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BEHAVIOR OF PLASTIC GREENHOUSES UNDER SYMMETRIC LOADING BEFORE AND AFTER STRENGTHENING WITH TENSION TIES. The Hong Kong Institute of Steel Construction, January 2019. http://dx.doi.org/10.18057/ijasc.2018.14.4.10.

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