Results 1 to 10 of about 104,690 (216)
Symmetry and Symmetry Breaking in Physics: From Geometry to Topology [PDF]
Symmetry, 2021 Symmetry (and group theory) is a fundamental principle of theoretical physics. Finite symmetries, continuous symmetries of compact groups, and infinite-dimensional representations of noncompact Lie groups are at the core of solid physics, particle physics, and quantum physics, respectively.
Luciano Boi, Boi Luciano
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Symmetry in 3D Geometry: Extraction and Applications [PDF]
Computer Graphics Forum, 2013 AbstractThe concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries and high‐level structural information for a wide variety of geometry processing tasks.
Niloy J Mitra +2 more
exaly +4 more sources
On the Geometry of Symmetry Breaking Inequalities [PDF]
Mathematical Programming, 2021 Breaking symmetries is a popular way of speeding up the branch-and-bound method for symmetric integer programs. We study fundamental domains, which are minimal and closed symmetry breaking polyhedra. Our long-term goal is to understand the relationship between the complexity of such polyhedra and their symmetry breaking capability. Borrowing ideas from
José Verschae +2 more
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Geometry and symmetry in skyrmion dynamics [PDF]
Physical Review B, 2021 The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this dependence through simulations of the Landau-Lifshitz-Gilbert equation with Zhang-Li torque and explain them through a geometric analysis of Thiele's ...
Kuchkin, Vladyslav M. +6 more
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Symmetries and Geometries of Qubits, and Their Uses [PDF]
Symmetry, 2021 The symmetry SU(2) and its geometric Bloch Sphere rendering have been successfully applied to the study of a single qubit (spin-1/2); however, the extension of such symmetries and geometries to multiple qubits—even just two—has been investigated far less, despite the centrality of such systems for quantum information processes. In the last two decades,
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On the Ubiquity of Symmetry in Logical Geometry
Symmetry: Art and Science | 12th SIS-Symmetry Congress, 2022 The research framework of Logical Geometry investigates two major sets of logical rela- tions holding between formulas in a logical fragment or between concepts in a lexical field. On the one hand, there is the classical set of Aristotelian relations of contradiction, (sub)contrariety and subalternation/implication.
Smessaert, Hans, Demey, Lorenz
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Symmetry as a Representation of Intuitive Geometry?
CoRR, 2022 Recognition of geometrical patterns seems to be an important aspect of human intelligence. Geometric pattern recognition is used in many intelligence tests, including Dehaene's odd-one-out test of Core Geometry (CG)) based on intuitive geometrical concepts (Dehaene et al., 2006).
Xu, Wangcheng +2 more
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Symmetries in Generalized Kähler Geometry [PDF]
Communications in Mathematical Physics, 2006 We define the notion of a moment map and reduction in both generalized complex geometry and generalized Kähler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on $\C¶^n$, Hirzebruch surfaces, the blow up of $\CP^2$ at arbitrarily many points, and other toric varieties, as well as complex Grassmannians.
Lin, Yi, Tolman, Susan
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Geometries with the Second Poincaré Symmetry [PDF]
Communications in Theoretical Physics, 2012 The second Poincaré kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincaré symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants $(c,l)$ can be established.
Huang, Chao-Guang +4 more
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On the geometry of twisted symmetries: Gauging and coverings [PDF]
Journal of Geometry and Physics, 2020 We consider the theory of \emph{twisted symmetries} of differential equations, in particular $λ$ and $μ$-symmetries, and discuss their geometrical content. We focus on their interpretation in terms of gauge transformations on the one hand, and of coverings on the other one.
D. Catalano Ferraioli, G. Gaeta
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