Academic literature on the topic 'Symmetric extension'

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Journal articles on the topic "Symmetric extension"

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KARAGILA, ASAF. "ITERATING SYMMETRIC EXTENSIONS." Journal of Symbolic Logic 84, no. 1 (2019): 123–59. http://dx.doi.org/10.1017/jsl.2018.73.

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AbstractThe notion of a symmetric extension extends the usual notion of forcing by identifying a particular class of names which forms an intermediate model of $ZF$ between the ground model and the generic extension, and often the axiom of choice fails in these models. Symmetric extensions are generally used to prove choiceless consistency results. We develop a framework for iterating symmetric extensions in order to construct new models of $ZF$. We show how to obtain some well-known and lesser-known results using this framework. Specifically, we discuss Kinna–Wagner principles and obtain some
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Ohnuki, Yosuke, Kaoru Takeda, and Kunio Yamagata. "Symmetric Hochschild extension algebras." Colloquium Mathematicum 80, no. 2 (1999): 155–74. http://dx.doi.org/10.4064/cm-80-2-155-174.

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Yan, Zhenya. "Complex PT -symmetric nonlinear Schrödinger equation and Burgers equation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1989 (2013): 20120059. http://dx.doi.org/10.1098/rsta.2012.0059.

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The complex -symmetric nonlinear wave models have drawn much attention in recent years since the complex -symmetric extensions of the Korteweg–de Vries (KdV) equation were presented in 2007. In this review, we focus on the study of the complex -symmetric nonlinear Schrödinger equation and Burgers equation. First of all, we briefly introduce the basic property of complex symmetry. We then report on exact solutions of one- and two-dimensional nonlinear Schrödinger equations (known as the Gross–Pitaevskii equation in Bose–Einstein condensates) with several complex -symmetric potentials. Finally,
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Lewis, Joel Brewster. "Affine symmetric group." WikiJournal of Science 4, no. 1 (2021): 3. http://dx.doi.org/10.15347/wjs/2021.003.

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The affine symmetric group is a mathematical structure that describes the symmetries of the number line and the regular triangular tesselation of the plane, as well as related higher dimensional objects. It is an infinite extension of the symmetric group, which consists of all permutations (rearrangements) of a finite set. In additition to its geometric description, the affine symmetric group may be defined as the collection of permutations of the integers (..., −2, −1, 0, 1, 2, ...) that are periodic in a certain sense, or in purely algebraic terms as a group with certain generators and relat
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ABE, M., and N. NAKANISHI. "SUPERSYMMETRIC EXTENSION OF LOCAL LORENTZ SYMMETRY." International Journal of Modern Physics A 04, no. 11 (1989): 2837–59. http://dx.doi.org/10.1142/s0217751x89001138.

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The locally [Formula: see text]-symmetric extension of the vierbein formalism of the Einstein gravity is systematically reconstructed. The superconnection is defined by the requirement that the vierbein supermultiplet and the [Formula: see text] “vielbein” one have vanishing supercovariant derivatives. By using the superconnection, the globally super-invariant gauge-fixing Lagrangian density and the corresponding FP-ghost one are explicitly constructed. Then the theory is shown to be invariant under the extended BRS symmetry corresponding to the local [Formula: see text] symmetry.
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Dydak, Jerzy. "Extension theory of infinite symmetric products." Fundamenta Mathematicae 182, no. 1 (2004): 53–77. http://dx.doi.org/10.4064/fm182-1-3.

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Das, A. N. "Non-symmetric extension of a crack." Acta Mechanica 107, no. 1-4 (1994): 13–19. http://dx.doi.org/10.1007/bf01201816.

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Krishna Murty, A. V., and H. K. Hari Kumar. "Modelling of symmetric laminates under extension." Composite Structures 11, no. 1 (1989): 15–32. http://dx.doi.org/10.1016/0263-8223(89)90028-7.

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Wu, Shengjian, and Shanshuang Yang. "On Symmetric Quasicircles." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 68, no. 1 (2000): 131–44. http://dx.doi.org/10.1017/s1446788700001622.

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AbstractWe study an important subclass of quasicircles, namely, symmetric quasicircles. Several characterizations for quasicircles, such as the reverse triangle inequality, the M -condition and the quasiconformal extension property, have been extended to symmetric quasicircles by Becker and Pommerenke and by Gardiner and Sullivan. In this paper we establish several relations among various domain constants such as quasiextremal distance constants, (local) reflection constants and (local) extension constants for this class. We also give several characterizations for symmetric quasicircles such a
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Cui, Lihong, and Zhengxing Cheng. "An algorithm for constructing symmetric orthogonal multiwavelets by matrix symmetric extension." Applied Mathematics and Computation 149, no. 1 (2004): 227–43. http://dx.doi.org/10.1016/s0096-3003(03)00136-x.

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Dissertations / Theses on the topic "Symmetric extension"

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Goel, Charu [Verfasser]. "Extension of Hilbert's 1888 Theorem to Even Symmetric Forms / Charu Goel." Konstanz : Bibliothek der Universität Konstanz, 2014. http://d-nb.info/1095666932/34.

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Lamp, Leonard B. "SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/222.

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The goal of this thesis is to show constructions of some of the sporadic groups such as the Mathieu group, M12, J1, Projective Special Linear groups, PSL(2,8), and PSL(2,11), Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple non-abelian groups as homomorphic images of permutation or monomial progenitors, as well grasping a deep understanding of group theory and extension theory to determine groups up to isomorphisms. The progenitor, developed by Robert T. Curtis, is a semi-direct product of the following form: P≅2*n: N = {πw | π ∈ N, w a reduced w
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Rout, Satyabrata. "Orthogonal vs. Biorthogonal Wavelets for Image Compression." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/35084.

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Effective image compression requires a non-expansive discrete wavelet transform (DWT) be employed; consequently, image border extension is a critical issue. Ideally, the image border extension method should not introduce distortion under compression. It has been shown in literature that symmetric extension performs better than periodic extension. However, the non-expansive, symmetric extension using fast Fourier transform and circular convolution DWT methods require symmetric filters. This precludes orthogonal wavelets for image compression since they cannot simultaneously possess the desirabl
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Schilling, René L., and Toshihiro Uemura. "On the Structure of the Domain of a Symmetric Jump-type Dirichlet Form." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-145198.

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We characterize the structure of the domain of a pure jump-type Dirichlet form which is given by a Beurling–Deny formula. In particular, we obtain su cient conditions in terms of the jumping kernel guaranteeing that the test functions are a core for the Dirichlet form and that the form is a Silverstein extension. As an application we show that for recurrent Dirichlet forms the extended Dirichlet space can be interpreted in a natural way as a homogeneous Dirichlet space. For reflected Dirichlet spaces this leads to a simple purely analytic proof that the active reflected Dirichlet space (in the
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Schilling, René L., and Toshihiro Uemura. "On the Structure of the Domain of a Symmetric Jump-type Dirichlet Form." EMS Publishing House, 2012. https://tud.qucosa.de/id/qucosa%3A28135.

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We characterize the structure of the domain of a pure jump-type Dirichlet form which is given by a Beurling–Deny formula. In particular, we obtain su cient conditions in terms of the jumping kernel guaranteeing that the test functions are a core for the Dirichlet form and that the form is a Silverstein extension. As an application we show that for recurrent Dirichlet forms the extended Dirichlet space can be interpreted in a natural way as a homogeneous Dirichlet space. For reflected Dirichlet spaces this leads to a simple purely analytic proof that the active reflected Dirichlet space (in the
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Duong, Minh-Thanh. "A new invariant of quadratic lie algebras and quadratic lie superalgebras." Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00673991.

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In this thesis, we defind a new invariant of quadratic Lie algebras and quadratic Lie superalgebras and give a complete study and classification of singular quadratic Lie algebras and singular quadratic Lie superalgebras, i.e. those for which the invariant does not vanish. The classification is related to adjoint orbits of Lie algebras o(m) and sp(2n). Also, we give an isomorphic characterization of 2-step nilpotent quadratic Lie algebras and quasi-singular quadratic Lie superalgebras for the purpose of completeness. We study pseudo-Euclidean Jordan algebras obtained as double extensions of a
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Duong, Minh thanh. "A new invariant of quadratic lie algebras and quadratic lie superalgebras." Thesis, Dijon, 2011. http://www.theses.fr/2011DIJOS021/document.

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Dans cette thèse, nous définissons un nouvel invariant des algèbres de Lie quadratiques et des superalgèbres de Lie quadratiques et donnons une étude et classification complète des algèbres de Lie quadratiques singulières et des superalgèbres de Lie quadratiques singulières, i.e. celles pour lesquelles l’invariant n’est pas nul. La classification est en relation avec les orbites adjointes des algèbres de Lie o(m) et sp(2n). Aussi, nous donnons une caractérisation isomorphe des algèbres de Lie quadratiques 2-nilpotentes et des superalgèbres de Lie quadratiques quasi-singulières pour le but d’ex
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Stedman, Richard James. "Deformations, extensions and symmetries of solutions to the WDVV equations." Thesis, University of Glasgow, 2017. http://theses.gla.ac.uk/8011/.

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We investigate almost-dual-like solutions of the WDVV equations for which the metric, under the standard definition, is degenerate. Such solutions have previously been considered in [21] as complex Euclidean v-systems with zero canonical form but were not regarded as solutions since a non-degenerate metric is required for a solution. We have found that, in every case we considered, we can impose a metric and hence recover a solution. We also found that for the deformed A_n(c) family (first appearing in [8]) with the choice of parameters that renders the metric singular we can also recover a so
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Koerich, Luan Vinícius. "Dark matter in a 'Z IND. 3'-symmetry extension of the Standard model /." São Paulo, 2015. http://hdl.handle.net/11449/154727.

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Orientador: Rogério Rosendeld<br>Co-orientador: Nicolás Bernal<br>Banca: Ricardo D'Elia Matheus<br>Banca: Renata Zukanovich Funchal<br>Resumo: A matéria escura é responsável por cerca de 85% de toda a matéria do universo. Sabe-se que ela possui um longo tempo de vida, que é neutra e interage com a matéria comum apenas gravitacionalmente. Muitos modelos foram aventados para descrever as possíveis partículas de matéria escura, muitos deles baseados em extensões do modelo padrão para partículas elementares. Em particular, há os modelos de partículas massivas interativas por força forte, os SIMPs,
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Koerich, Luan Vinícius [UNESP]. "Dark matter in a 'Z IND. 3'-symmetry extension of the Standard model." Universidade Estadual Paulista (UNESP), 2015. http://hdl.handle.net/11449/154727.

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Made available in DSpace on 2018-07-27T18:26:17Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-08-28. Added 1 bitstream(s) on 2018-07-27T18:30:43Z : No. of bitstreams: 1 000876019.pdf: 830419 bytes, checksum: d04b4fc0f1ac3688428cce3a07901b9e (MD5)<br>A matéria escura é responsável por cerca de 85% de toda a matéria do universo. Sabe-se que ela possui um longo tempo de vida, que é neutra e interage com a matéria comum apenas gravitacionalmente. Muitos modelos foram aventados para descrever as possíveis partículas de matéria escura, muitos deles baseados em extensões do modelo padrão p
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Books on the topic "Symmetric extension"

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Colored operads. American Mathematical Society, 2016.

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Zirnbauer, Martin R. Symmetry classes. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.3.

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This article examines the notion of ‘symmetry class’, which expresses the relevance of symmetries as an organizational principle. In his 1962 paper The threefold way: algebraic structure of symmetry groups and ensembles in quantum mechanics, Dyson introduced the prime classification of random matrix ensembles based on a quantum mechanical setting with symmetries. He described three types of independent irreducible ensembles: complex Hermitian, real symmetric, and quaternion self-dual. This article first reviews Dyson’s threefold way from a modern perspective before considering a minimal extens
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Mashhoon, Bahram. Extension of General Relativity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0005.

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Nonlocal general relativity (GR) requires an extension of the mathematical framework of GR. Nonlocal GR is a tetrad theory such that the orthonormal tetrad frame field of a preferred set of observers carries the sixteen gravitational degrees of freedom. The spacetime metric is then defined via the orthonormality condition. The preferred frame field is used to define a new linear Weitzenböck connection in spacetime. The non-symmetric Weitzenböck connection is metric compatible, curvature-free and renders the preferred (fundamental) frame field parallel. This circumstance leads to teleparallelis
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Edmunds, D. E., and W. D. Evans. Sesquilinear Forms in Hilbert Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0004.

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The centre-pieces of this chapter are the Lax–Milgram Theorem and the existence of weak or variational solutions to problems involving sesquilinear forms. An important application is to Kato’s First Representation Theorem, which associates a unique m-sectorial operator with a closed, densely defined sesquilinear form, thus extending the Friedrichs extension for a lower bounded symmetric operator. Stampacchia’s generalization of the Lax–Milgram Theorem to variational inequalities is also discussed.
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Deruelle, Nathalie, and Jean-Philippe Uzan. The Kerr solution. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0048.

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This chapter covers the Kerr metric, which is an exact solution of the Einstein vacuum equations. The Kerr metric provides a good approximation of the spacetime near each of the many rotating black holes in the observable universe. This chapter shows that the Einstein equations are nonlinear. However, there exists a class of metrics which linearize them. It demonstrates the Kerr–Schild metrics, before arriving at the Kerr solution in the Kerr–Schild metrics. Since the Kerr solution is stationary and axially symmetric, this chapter shows that the geodesic equation possesses two first integrals.
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Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Broken Symmetries. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0015.

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Exlicitly and spontaneously broken symmetries in classical and quantum physics. The linear and non-linear σ‎-model. The Goldstone theorem and the appearance of massless particles. The extension to Abelian and non-Abelian gauge symmetries and the Brout–Englert–Higgs mechanism.
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Edmunds, D. E., and W. D. Evans. Unbounded Linear Operators. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0003.

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This chapter is concerned with closable and closed operators in Hilbert spaces, especially with the special classes of symmetric, J-symmetric, accretive and sectorial operators. The Stone–von Neumann theory of extensions of symmetric operators is treated as a special case of results for compatible adjoint pairs of closed operators. Also discussed in detail is the stability of closedness and self-adjointness under perturbations. The abstract results are applied to operators defined by second-order differential expressions, and Sims’ generalization of the Weyl limit-point, limit-circle character
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Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Supersymmetry, or the Defence of Scalars. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0027.

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The only fields of the Standard Model whose masses are not protected by a symmetry are the scalar fields. Supersymmetry is a symmetry between fermions and bosons which provides precisely such a protection mechanism. This chapter presents a comprehensive study of supersymmetric field theories. In particular, it is shown that they do not suffer from the phenomenon of gauge hierarchy. They have remarkable renormalisation properties and offer the most attractive framework to build a unified theory. The breaking of supersymmetry, both explicit and spontaneous, is studied in detail. The generalisati
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Goswami, B. N., and Soumi Chakravorty. Dynamics of the Indian Summer Monsoon Climate. Oxford University Press, 2017. http://dx.doi.org/10.1093/acrefore/9780190228620.013.613.

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Lifeline for about one-sixth of the world’s population in the subcontinent, the Indian summer monsoon (ISM) is an integral part of the annual cycle of the winds (reversal of winds with seasons), coupled with a strong annual cycle of precipitation (wet summer and dry winter). For over a century, high socioeconomic impacts of ISM rainfall (ISMR) in the region have driven scientists to attempt to predict the year-to-year variations of ISM rainfall. A remarkably stable phenomenon, making its appearance every year without fail, the ISM climate exhibits a rather small year-to-year variation (the sta
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Canarutto, Daniel. Gauge Field Theory in Natural Geometric Language. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198861492.001.0001.

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This monograph addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a not-too-short, integrated approach that exploits standard and non-standard notions in natural geometric language. The role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. Two-spinors yield a partly original ‘minimal geometric data’ approach to Einstein-Cartan-Maxwell-Dirac fields. The gravitational field is jointly represented by a spinor connect
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Book chapters on the topic "Symmetric extension"

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Mortini, Raymond, and Rudolf Rupp. "Real-symmetric function algebras." In Extension Problems and Stable Ranks. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73872-3_34.

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Golan, Jonathan S. "Symmetric extension of a semiring." In Semirings and Affine Equations over Them: Theory and Applications. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0383-3_6.

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Guivarc’h, Yves, Lizhen Ji, and J. C. Taylor. "Extension to Semisimple Algebraic Groups Defined Over a Local Field." In Compactification of Symmetric Spaces. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-2452-5_15.

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Strocchi, Franco. "An Extension of Goldstone Theorem to Non-symmetric Hamiltonians." In Symmetry Breaking. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-73593-9_28.

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Hassi, Seppo, Henk de Snoo, and Henrik Winkler. "On Exceptional Extensions Close to the Generalized Friedrichs Extension of Symmetric Operators." In Operator Theory in Inner Product Spaces. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8270-4_7.

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Strocchi, Franco. "18 An Extension of Goldstone Theorem to Non-symmetric Hamiltonians." In Symmetry Breaking. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/10981788_30.

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Arov, Damir Z., and Harry Dym. "Extension and Inverse Problems under Real and Symmetric Constraints." In Operator Theory: Advances and Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-70262-9_8.

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Valibouze, Annick. "Symbolic Computation with Symmetric Polynomials an Extension to MACSYMA." In Computers and Mathematics. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-9647-5_35.

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Strocchi, Franco. "An Extension of Goldstone Theorem to Non-symmetric Hamiltonians." In Theoretical and Mathematical Physics. Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62166-0_28.

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Aoyama, Kazuo, and Hiroshi Sawada. "Threshold Element-Based Symmetric Function Generators and Their Functional Extension." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-46117-5_115.

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Conference papers on the topic "Symmetric extension"

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Vadakkumpadan, Fijoy, and Yinlong Sun. "Representing spectral functions using symmetric extension." In Electronic Imaging 2005, edited by Reiner Eschbach and Gabriel G. Marcu. SPIE, 2005. http://dx.doi.org/10.1117/12.587791.

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Ito, Izumi. "Pseudo Spectral Method Based on Symmetric Extension." In 2018 7th European Workshop on Visual Information Processing (EUVIP). IEEE, 2018. http://dx.doi.org/10.1109/euvip.2018.8611666.

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Myhr, Geir Ove, Norbert Lütkenhaus, Andrew C. Doherty, Joseph M. Renes, and Alexander Lvovsky. "Symmetric extension and its application in QKD." In QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING (QCMC): Ninth International Conference on QCMC. AIP, 2009. http://dx.doi.org/10.1063/1.3131348.

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Yi Chen, M. D. Adams, and Wu-Sheng Lu. "Symmetric extension for two-channel quincunx filter banks." In 2005 International Conference on Image Processing. IEEE, 2005. http://dx.doi.org/10.1109/icip.2005.1529787.

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Palfner, Torsten, and Erika Mueller. "Generalized symmetric periodic extension for multiwavelet filter banks." In SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, edited by Michael A. Unser, Akram Aldroubi, and Andrew F. Laine. SPIE, 1999. http://dx.doi.org/10.1117/12.366777.

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Brislawn, Christopher M. "Equivalence of Symmetric Pre-Extension and Lifting Step Extension in the JPEG 2000 Standard." In 2007 41st Asilomar conference on Signals, Systems and Computers (ACSSC). IEEE, 2007. http://dx.doi.org/10.1109/acssc.2007.4487610.

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Yang, Aiping, Zhengxin Hou, Chengyou Wang, Xuewen Ding, and Zhiyun Gao. "Construction of Wavelet Transform Matrices with Symmetric Boundary-Extension." In 2006 8th international Conference on Signal Processing. IEEE, 2006. http://dx.doi.org/10.1109/icosp.2006.345712.

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Li Shundong, Dai Yiqi, Wang Daoshun, and Luo Ping. "Symmetric Encryption Solutions to Millionaire's Problem and Its Extension." In 2006 1st International Conference on Digital Information Management. IEEE, 2007. http://dx.doi.org/10.1109/icdim.2007.369247.

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Huang, S. J., X. J. Liu, and S. Z. Wang. "Image encryption based on CGH by conjugate symmetric extension." In IET International Communication Conference on Wireless Mobile & Computing (CCWMC 2009). IET, 2009. http://dx.doi.org/10.1049/cp.2009.1920.

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Gregory II, Richard, Erian Armanios, and Michael Schleisman. "Analysis and testing of extension twist coupled composite using symmetric configurations." In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-1469.

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Reports on the topic "Symmetric extension"

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Rosenberg, J., and H. Schulzrinne. An Extension to the Session Initiation Protocol (SIP) for Symmetric Response Routing. RFC Editor, 2003. http://dx.doi.org/10.17487/rfc3581.

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