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Symmetry impedes symmetry discrimination
Objects in the world, natural and artificial alike, are often bilaterally symmetric. The visual system is likely to take advantage of this regularity to encode shapes for efficient object recognition. The nature of encoding a symmetric shape, and of encoding any departure from it, is therefore an important matter in visual perception. We addressed this
Tjan, B., Liu, Z.
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Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation
We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional ...
Letlhogonolo Daddy Moleleki+1 more
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CP as a Symmetry of Symmetries
It is explained that the Standard Model combined charge conjugation and parity transformation (CP) is a simultaneous complex conjugation outer automorphism transformation of gauge and space-time symmetries. Simple examples are given for the general concept of outer automorphisms ("symmetries of symmetries"), as well as for their possible actions on ...
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Patterns, symmetry, and symmetry breaking [PDF]
Explaining software patterns by breaking the symmetry created by programming languages.
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New Exact Solutions for a Generalized Double Sinh-Gordon Equation
We study a generalized double sinh-Gordon equation, which has applications in various fields, such as fluid dynamics, integrable quantum field theory, and kink dynamics. We employ the Exp-function method to obtain new exact solutions for this generalized
Gabriel Magalakwe+1 more
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Symmetries of Symmetry Breaking Constraints
Symmetry is an important feature of many constraint programs. We show that any problem symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry class. This simple but powerful idea can be used in a number of different ways.
George Katsirelos, Toby Walsh
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(29 pages)
Babelon, Olivier, Bernard, Denis
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Symmetries and the antibracket [PDF]
32 pages ...
Alfaro SolĂs, Jorge Luis+1 more
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Gauge non-invariance as tests of emergent gauge symmetry [PDF]
We motivate the concept of emergent gauge symmetry and discuss ways that this concept can be tested. The key idea is that if a symmetry is emergent, one should look for small violations of this symmetry because the underlying fundamental theory does not ...
Anber, Mohamed+2 more
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Symmetry, asymmetry and meso-symmetry
DeWitt Stetten
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