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Antisymmetric relation

About: Antisymmetric relation is a research topic. Over the lifetime, 3322 publications have been published within this topic receiving 64365 citations. The topic is also known as: antisymmetric property & anti-symmetric property.


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Journal ArticleDOI
TL;DR: In this paper, the analytical solutions of the symmetric and antisymmetric elastic LTB of prestressed steel I-beams with rectilinear tendons under equal end moments have been examined.
Abstract: Until now, there are no analytical solutions published of the lateral-torsional buckling (LTB) of the prestressed steel I-beams. In this paper, the symmetric and antisymmetric elastic LTB buckling performance of prestressed steel I-beams, with rectilinear tendons, under equal end moments has been examined. Firstly, a simplified mechanical model is put forward. Secondly, based upon the Euler-Beam model & the Kirchhoff-Plate model, the strain energy equation as well as the potential energy of the prestressed steel I-beam are derived in detail. Then the total potential equation and the differential equilibrium equations along with the boundary conditions are obtained. As a result, the analytical solutions of the symmetric and antisymmetric elastic LTB of prestressed I-beams are obtained, for the first time, and the correctness of the analytical solution of the critical moment of the symmetric buckling of the prestressed I-beam is verified by those simulated by using ANSYS. Finally, parameter analysis is carried out. It is found that: (1) the critical moment of the prestressed steel I-beam, with rectilinear tendons, under equal end moments can be determined by that of the symmetric buckling; (2) the critical prestressing force can be determined by that of the symmetric buckling or antisymmetric buckling depending on the relationship between the dimensionless eccentricity and its threshold value.

26 citations

Journal ArticleDOI
TL;DR: In this paper, the temperature evolution of the magnetic structures of HoFeO3 was investigated by single crystal neutron diffraction, and the three different magnetic structures were found as a function of temperature for Ho FeO3.
Abstract: We have investigated the temperature evolution of the magnetic structures of HoFeO3 by single crystal neutron diffraction. The three different magnetic structures werevfound as a function of temperature for HoFeO3. In all three phases the fundamental coupling between the Fe sub-lattices remains the same and only their orientation and the degree of canting away from the ideal axial direction varies. The magnetic polarisation of the Ho sub-lattices in these two higher temperature regions, in which the major components of the Fe moment lie along x and y, is very small. The canting of the moments from the axial directions is attributed to the antisymmetric interactions allowed by the crystal symmetry. In the low temperature phase two further structural transitions are apparent in which the spontaneous magnetisation changes sign with respect to the underlying antiferromagnetic configuration. In this temperature range the antisymmetric exchange energy varies rapidly as the the Ho sub-lattices begin to order. So long as the ordered Ho moments are small the antisymmetric exchange is due only to Fe-Fe interactions, but as the degree of Ho order increases the Fe-Ho interactions take over whilst at the lowest temperatures, when the Ho moments approach saturation the Ho-Ho interactions dominate. The reversals of the spontaneous magnetisation found in this study suggest that in HoFeO3 the sums of the Fe-Fe and Ho-Ho antisymmetric interactions have the same sign as one another, but that of the Ho-Fe terms is opposite.

26 citations

Journal ArticleDOI
TL;DR: In this paper, conformal blocks of operators in arbitrary Lorentz representations were derived using the formalism described in [1, 2] and presented several explicit examples of blocks derived via this method.
Abstract: We show how to compute conformal blocks of operators in arbitrary Lorentz representations using the formalism described in [1, 2] and present several explicit examples of blocks derived via this method. The procedure for obtaining the blocks has been reduced to (1) determining the relevant group theoretic structures and (2) applying appropriate predetermined substitution rules. The most transparent expressions for the blocks we find are expressed in terms of specific substitutions on the Gegenbauer polynomials. In our examples, we study operators which transform as scalars, symmetric tensors, two-index antisymmetric tensors, as well as mixed representations of the Lorentz group.

26 citations

Journal ArticleDOI
TL;DR: In this article, the authors introduce the notion of strongly efficient points for antisymmetric transitive relations and define the set of efficient points of an image A := f(D) of the constraint D. This relation is frequently referred to as preference.
Abstract: whenever, for every x E D such that A(x) afi(xO) for i = 1,2, . . . , n, one hash(x) = fi(x,,) for each i. Pareto optimization is also referred to as uecror, multi-objecfiue or multi-criteria optimization. Multi-objective maximization problems (0.1) have been nowadays extended to the situations where f is a mapping from X to a set Y equipped with a transitive relation 2. This relation is frequently called a preference. Consider first the image A := f(D) of the constraint D. An element y. of A is called (3_)-efficient (up to indifference or in the broad sense) if, for every y E A, y z y. implies y 5 yo; it is said to be strongly z-eficient (or efficient in the narrow sense) if, for each y E A, y 2 y. implies y = y,,. The two notions coincide for antisymmetric transitive relations. We shall be primarily concerned with efficient points in the broad sense. The set of efficient points of A (with respect to 7, ) will be denoted by max A (max Z A) and that of strongly efficient points, by max, A. An element of Y is called an efficient value of (0.1) if it is an efficient point of f(D). An element x0 of D is a solution of (0.1) if f(xo) is an efficient point of f(D). We shall use the latter S to denote the set of solutions of (0.1):

26 citations

Journal ArticleDOI
TL;DR: One-instanton predictions from the Seiberg-Witten curve derived from M-theory by Landsteiner and Lopez for the Coulomb branch of N = 2 supersymmetric SU(N) gauge theory with a matter hypermultiplet in the antisymmetric representation were obtained in this article.

26 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023145
2022286
2021109
2020112
2019118
2018122