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Journal articles on the topic 'Symmetric extension'

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Jiang, Qingtang. "Symmetric Paraunitary Matrix Extension and Parametrization of Symmetric Orthogonal Multifilter Banks." SIAM Journal on Matrix Analysis and Applications 23, no. 1 (2001): 167–86. http://dx.doi.org/10.1137/s0895479800372924.

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12

Ma, Shexiang, and Fei Pan. "SYMMETRIC EXTENSION OF STEERING VECTORS AND BEAMFORMING." Progress In Electromagnetics Research M 76 (2018): 19–29. http://dx.doi.org/10.2528/pierm18073101.

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13

Chung, Yen-Ling, and Mei-Rong Chen. "Dynamic Analysis of Non-Symmetric Cracks Extension." Journal of Mechanics 16, no. 3 (2000): 157–67. http://dx.doi.org/10.1017/s1727719100001817.

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ABSTRACTThis paper applies the method of self-similar potentials to analyze the dynamic behaviors of the problems of mode-I, mode-II, and mode-III cracks propagating along the x-axis with constant speed, while the constant speeds of both crack tips are not the same, called nonsymmetric crack expansion. It is assumed that an unbound homogeneous isotropic elastic material is at rest for time t < 0. However, for time t ≥ 0, a central crack starts to extend from zero length along the x-axis. On the crack surfaces of x ≥ 0, there exists uniform distributed load such that the rightmost crack tip
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14

Appleton, Ben, and Hugues Talbot. "Recursive filtering of images with symmetric extension." Signal Processing 85, no. 8 (2005): 1546–56. http://dx.doi.org/10.1016/j.sigpro.2005.02.007.

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15

Sureson, Claude. "Symmetric submodels of a cohen generic extension." Annals of Pure and Applied Logic 58, no. 3 (1992): 247–61. http://dx.doi.org/10.1016/0168-0072(92)90030-4.

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16

RITCHIE, R. A., H. G. MILLER, and M. I. GORENSTEIN. "THE LOW TEMPERATURE BEHAVIOR OF SYMMETRIC NUCLEAR MATTER." Modern Physics Letters A 11, no. 34 (1996): 2725–31. http://dx.doi.org/10.1142/s0217732396002721.

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The low temperature behavior of the nuclear binding energy of isospin symmetric nuclear matter recently derived by using a finite temperature extension to the semi-empirical mass formula appears in conflict with the Fermi gas result. We show that extensions to known mean field theoretical models of nuclear matter lead back to the Fermi gas result and hence are unable to resolve the conflict in the temperature dependence.
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17

Bernhardt, Chris. "Time-symmetric cycles." International Journal of Mathematics and Mathematical Sciences 2003, no. 26 (2003): 1683–92. http://dx.doi.org/10.1155/s0161171203208097.

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The main result of this note is that given any two time-symmetric cycles, one can find a time-symmetric extension of one by the other. This means that given a time-symmetric cycle, both time-symmetric doubles and square roots can be found.
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18

Bormashenko, Legchenkova, and Frenkel. "Symmetry and Shannon Measure of Ordering: Paradoxes of Voronoi Tessellation." Entropy 21, no. 5 (2019): 452. http://dx.doi.org/10.3390/e21050452.

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The Voronoi entropy for random patterns and patterns demonstrating various elements of symmetry was calculated. The symmetric patterns were characterized by the values of the Voronoi entropy being very close to those inherent to random ones. This contradicts the idea that the Voronoi entropy quantifies the ordering of the seed points constituting the pattern. Extension of the Shannon-like formula embracing symmetric patterns is suggested. Analysis of Voronoi diagrams enables the elements of symmetry of the patterns to be revealed.
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19

Su, Juan, and Xinhan Dong. "On Dimension Extension of a Class of Iterative Equations." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/180184.

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This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class ofr-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation:ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). The obtained results in this paper are complementary to some published results. As an application, we construct orthogonal symmetric multiwavelet with additional vanishing moments. Two examples are also arranged to demonstrate the correctness and effectiveness of the main results.
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20

Raposo, A. P. "Skew-symmetric Elements in Nonlinear Involutions in Group Rings." Algebra Colloquium 22, no. 02 (2015): 321–32. http://dx.doi.org/10.1142/s1005386715000280.

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Given an involution in a group G, it can be extended in various ways to an involution in the group ring RG, where R is a ring, not necessarily commutative. In this paper nonlinear extensions are considered and necessary and sufficient conditions are given on the group G, its involution, the ring R and the extension for the set of skew-symmetric elements to be commutative and for it to be anticommutative.
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21

Baklouti, Amir, and Saïd Benayadi. "Symmetric Symplectic Commutative Associative Algebras and Related Lie Algebras." Algebra Colloquium 18, spec01 (2011): 973–86. http://dx.doi.org/10.1142/s100538671100085x.

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A commutative associative algebra [Formula: see text] is called symmetric symplectic if it is endowed with both an associative non-degenerate symmetric bilinear form B and an invertible B-antisymmetric derivation D. We give a description of the commutative associative symmetric symplectic 𝕂-algebras by using the notion of T*-extension. Next, we introduce the notion of double extension of symmetric symplectic commutative associative algebras in order to give an inductive description of these algebras. Moreover, much information on the structure of symmetric commutative associative algebras is g
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22

Nepershin, R. I. "Plastic Extension of a Plate with Symmetric Notches." Mechanics of Solids 52, no. 5 (2017): 511–23. http://dx.doi.org/10.3103/s0025654417050065.

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23

Wu, Yan, and Yi Qi. "Douady-Earle extension of the strongly symmetric homeomorphism." Kodai Mathematical Journal 39, no. 2 (2016): 410–24. http://dx.doi.org/10.2996/kmj/1467830147.

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24

Bender, Carl M., Dorje C. Brody, Jun-Hua Chen, and Elisabetta Furlan. "-symmetric extension of the Korteweg-de Vries equation." Journal of Physics A: Mathematical and Theoretical 40, no. 5 (2007): F153—F160. http://dx.doi.org/10.1088/1751-8113/40/5/f02.

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25

Jones, H. F., and M. Kulishov. "Extension of analytic results for aPT-symmetric structure." Journal of Optics 18, no. 5 (2016): 055101. http://dx.doi.org/10.1088/2040-8978/18/5/055101.

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26

Itagaki, Tomohiro. "Symmetric Hochschild extension algebras and normalized 2-cocycles." Archiv der Mathematik 112, no. 3 (2018): 249–59. http://dx.doi.org/10.1007/s00013-018-1249-y.

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27

Lourenço, Bruno F., Tomonari Kitahara, Masakazu Muramatsu, and Takashi Tsuchiya. "An extension of Chubanov’s algorithm to symmetric cones." Mathematical Programming 173, no. 1-2 (2017): 117–49. http://dx.doi.org/10.1007/s10107-017-1207-7.

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28

KOSLER, KARL A. "EXTENDING TORSION RADICALS." Journal of Algebra and Its Applications 07, no. 01 (2008): 91–108. http://dx.doi.org/10.1142/s0219498808002680.

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Over an arbitrary ring R, a symmetric radical is shown to be strongly normalizing. For a fully semiprimary Noetherian ring R, a symmetric radical is normalizing if and only if the class of torsion factor rings of R is closed under ring isomorphisms. In case S is a strongly normalizing or normalizing extension ring of R, a symmetric radical for S is constructed as an extension of a symmetric radical for R. Applications address questions concerning the behavior of Krull dimension and linked prime ideals of S.
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29

MASUDA, TOSHIHIKO. "EXTENSION OF AUTOMORPHISMS OF A SUBFACTOR TO THE SYMMETRIC ENVELOPING ALGEBRA." International Journal of Mathematics 12, no. 06 (2001): 637–59. http://dx.doi.org/10.1142/s0129167x01000988.

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In this article, we consider an extension of automorphisms of a subfactor to the symmetric enveloping algebra introduced by Popa. We discuss the relation between this extension and invariants of automorphisms introduced by Kawahigashi. We also compute the symmetric enveloping algebras arising from orbifold subfactors.
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30

Zahreddine, Z. "Boundary conditions and the Cayley transform." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 103, no. 1-2 (1986): 129–36. http://dx.doi.org/10.1017/s0308210500014050.

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SynopsisSelf-adjoint operators in L2(0, 1) associated with a formally symmetric differential operator regular in [0, 1] can be determined by boundary conditions or as extensions of the minimal operator. These extensions are determined by extensions of the Cayley transform of the minimal operator. This paper establishes an explicit expression for the extension of the Cayley transform in terms of the boundary conditions and vice versa.
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31

BANDELLONI, GIUSEPPE. "UNCONSTRAINED HIGHER SPINS IN FOUR DIMENSIONS." International Journal of Geometric Methods in Modern Physics 08, no. 03 (2011): 511–56. http://dx.doi.org/10.1142/s0219887811005269.

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The relativistic symmetric tensor fields are, in four dimensions, the right candidates to describe Higher Spin Fields. Their highest spin content is isolated with the aid of covariant conditions, discussed within a group theory framework, in which auxiliary fields remove the lower intrinsic angular momenta sectors. These conditions are embedded within a Lagrangian Quantum Field theory which describes an Higher Spin Field interacting with a Classical background. The model is invariant under a (B.R.S.) symmetric unconstrained tensor extension of the reparametrization symmetry, which include the
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32

Fiziev, Plamen. "Novel Representation of the General Fuchsian and Heun Equations and their Solutions." International Frontier Science Letters 7 (March 2016): 11–24. http://dx.doi.org/10.18052/www.scipress.com/ifsl.7.11.

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In the present article we introduce and study a novel type of solutions to the general Heun's equation. Our approach is based on the symmetric form of the Heun's differential equation yielded by development of the Papperitz-Klein symmetric form of the Fuchsian equations with an arbitrary number N≥4 of regular singular points. We derive the symmetry group of these equations which turns to be a proper extension of the Mobius group. We also introduce and study new series solutions of the proposed in the present paper symmetric form of the general Heun's differential equation (N=4) which treats si
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33

Palmeira, Mauricio, Jing Lei, and Ana Valenzuela. "Impact of vertical line extensions on brand attitudes and new extensions." European Journal of Marketing 53, no. 2 (2019): 299–319. http://dx.doi.org/10.1108/ejm-07-2017-0431.

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Purpose Companies often extend brands to higher or lower quality tiers to access different market segments. However, the impact of such extensions on the brand and its subsequent offerings is not yet conclusive. While some studies found an “averaging” pattern (all models contribute equally to the overall perception of the brand: a symmetric effect), others found a “best-of-brand” pattern (the positive impact of an upstream extension is much greater than the negative impact of a downstream extension: an asymmetric effect). This paper aims to reconcile these seemingly conflicting findings by ass
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34

Farzinnia, Arsham. "Classically Scale Invariant Inflation and (A)gravity." International Journal of Modern Physics: Conference Series 43 (January 2016): 1660203. http://dx.doi.org/10.1142/s2010194516602039.

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In this talk, I present the minimal classically scale-invariant and [Formula: see text]-symmetric extension of the standard model, containing one additional complex gauge singlet and three flavors of right-handed Majorana neutrinos, incorporated within a renormalizable framework of gravity, consistent with these symmetries; the Agravity. I particularly focus on the slow-roll inflationary paradigm within this framework, by identifying the pseudo-Nambu-Goldstone boson of the (approximate) scale symmetry with the inflaton field, constructing its one-loop effective potential, computing the slow-ro
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35

Fring, Andreas. "PT -symmetric deformations of integrable models." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1989 (2013): 20120046. http://dx.doi.org/10.1098/rsta.2012.0046.

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We review recent results on new physical models constructed as -symmetrical deformations or extensions of different types of integrable models. We present non-Hermitian versions of quantum spin chains, multi-particle systems of Calogero–Moser–Sutherland type and nonlinear integrable field equations of Korteweg–de Vries type. The quantum spin chain discussed is related to the first example in the series of the non-unitary models of minimal conformal field theories. For the Calogero–Moser–Sutherland models, we provide three alternative deformations: a complex extension for models related to all
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36

Sun, Jianjun, Bin Huang, Xiaodong Chen, and Lihong Cui. "Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties." Journal of Applied Mathematics 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/907175.

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A construction approach for the 3-band tight wavelet frames by factorization of paraunitary matrix is developed. Several necessary constraints on the filter lengths and symmetric features of wavelet frames are investigated starting at the constructed paraunitary matrix. The matrix is a symmetric extension of the polyphase matrix corresponding to 3-band tight wavelet frames. Further, the parameterizations of 3-band tight wavelet frames with3N+1filter lengths are established. Examples of framelets with symmetry/antisymmetry and Sobolev exponent are computed by appropriately choosing the paramete
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37

Mogilevskii, Vadim. "On compressions of self-adjoint extensions of a symmetric linear relation with unequal deficiency indices." Ukrainian Mathematical Bulletin 16, no. 4 (2019): 567–87. http://dx.doi.org/10.37069/1810-3200-2019-16-4-8.

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Let $A$ be a symmetric linear relation in the Hilbert space $\gH$ with unequal deficiency indices $n_-A <n_+(A)$. A self-adjoint linear relation $\wt A\supset A$ in some Hilbert space $\wt\gH\supset \gH$ is called an (exit space) extension of $A$. We study the compressions $C (\wt A)=P_\gH\wt A\up\gH$ of extensions $\wt A=\wt A^*$. Our main result is a description of compressions $C (\wt A)$ by means of abstract boundary conditions, which are given in terms of a limit value of the Nevanlinna parameter $\tau(\l)$ from the Krein formula for generalized resolvents. We describe also all extensi
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38

SUN, Lei. "Research of point-symmetric boundary extension in wavelet transform." Journal of Computer Applications 28, no. 2 (2008): 443–45. http://dx.doi.org/10.3724/sp.j.1087.2008.00443.

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39

Došlý, Ondřej, and Petr Hasil. "Friedrichs extension of operators defined by symmetric banded matrices." Linear Algebra and its Applications 430, no. 8-9 (2009): 1966–75. http://dx.doi.org/10.1016/j.laa.2008.11.005.

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40

Adams, M. D., and R. K. Ward. "Symmetric-extension-compatible reversible integer-to-integer wavelet transforms." IEEE Transactions on Signal Processing 51, no. 10 (2003): 2624–36. http://dx.doi.org/10.1109/tsp.2003.816886.

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41

Bamberger, R. H., S. L. Eddins, and V. Nuri. "Generalized symmetric extension for size-limited multirate filter banks." IEEE Transactions on Image Processing 3, no. 1 (1994): 82–87. http://dx.doi.org/10.1109/83.265983.

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42

Uemura, Toshihiro. "On an extension of jump-type symmetric Dirichlet forms." Electronic Communications in Probability 12 (2007): 57–65. http://dx.doi.org/10.1214/ecp.v12-1256.

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43

Beigman, Eyal. "Extension of Arrow's theorem to symmetric sets of tournaments." Discrete Mathematics 307, no. 16 (2007): 2074–81. http://dx.doi.org/10.1016/j.disc.2005.12.052.

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44

Liu, Yongjin, Liwei Zhang, and Meijiao Liu. "Extension of smoothing functions to symmetric cone complementarity problems." Applied Mathematics-A Journal of Chinese Universities 22, no. 2 (2007): 245–52. http://dx.doi.org/10.1007/s11766-007-0214-5.

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45

Alonso-Meijide, J. M., F. Carreras, and M. G. Fiestras-Janeiro. "The Multilinear Extension and the Symmetric Coalition Banzhaf Value." Theory and Decision 59, no. 2 (2005): 111–26. http://dx.doi.org/10.1007/s11238-005-0944-x.

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46

Holzer, Stefan M. "A p-extension of the symmetric boundary element method." Computer Methods in Applied Mechanics and Engineering 115, no. 3-4 (1994): 339–57. http://dx.doi.org/10.1016/0045-7825(94)90066-3.

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47

Kelaher, Dan, Gary Mirka, and Carolyn Sommerich. "The Effects of Fatigue from Repeated Trunk Extensions on Trunk Muscle Activity." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 49, no. 14 (2005): 1315–19. http://dx.doi.org/10.1177/154193120504901411.

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Asymmetric trunk postures and trunk dynamics have been implicated as risk factors for occupational low back disorders. Muscle fatigue has also been cited as an ergonomic issue, though not directly linked to an increased risk of low back injury. This paper investigates the effect of trunk extensor muscle fatigue on muscle activity levels during symmetric and asymmetric trunk extension exertions. The results show that muscle fatigue alters both flexor and extensor muscle activity patterns in asymmetric trunk extensions earlier than in sagittally-symmetric trunk extensions. This quickened fatigue
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48

Fischbacher, Christoph. "Extensions of dissipative operators with closable imaginary part." Opuscula Mathematica 41, no. 3 (2021): 381–93. http://dx.doi.org/10.7494/opmath.2021.41.3.381.

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Given a dissipative operator \(A\) on a complex Hilbert space \(\mathcal{H}\) such that the quadratic form \(f \mapsto \text{Im}\langle f, Af \rangle\) is closable, we give a necessary and sufficient condition for an extension of \(A\) to still be dissipative. As applications, we describe all maximally accretive extensions of strictly positive symmetric operators and all maximally dissipative extensions of a highly singular first-order operator on the interval.
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49

Kaulakytė, Kristina, and Neringa Klovienė. "ON NONHOMOGENEOUS BOUNDARY VALUE PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A SYMMETRIC CUSP DOMAIN." Mathematical Modelling and Analysis 26, no. 1 (2021): 55–71. http://dx.doi.org/10.3846/mma.2021.12173.

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The nonhomogeneous boundary value problem for the stationary NavierStokes equations in 2D symmetric multiply connected domain with a cusp point on the boundary is studied. It is assumed that there is a source or sink in the cusp point. A symmetric solenoidal extension of the boundary value satisfying the LerayHopf inequality is constructed. Using this extension, the nonhomogeneous boundary value problem is reduced to homogeneous one and the existence of at least one weak symmetric solution is proved. No restrictions are assumed on the size of fluxes of the boundary value.
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50

Liu, Xuhua, Brice M. Nguelifack, and Tin-Yau Tam. "Unitary similarity to a complex symmetric matrix and its extension to orthogonal symmetric Lie algebras." Linear Algebra and its Applications 438, no. 10 (2013): 3789–96. http://dx.doi.org/10.1016/j.laa.2011.08.003.

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