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Symmetry’s End?

Erkenntnis, 2010
This paper can be seen as a call to arms to better understand the influence of symmetry in inductive logic as a source of principles a rational agent should adhere to. It is in spirit very closely related to [J. Philos. Log. 40, No. 3, 357--370 (2011; Zbl 1223.03014)], where the authors investigate (ir-)relevance as source of rationality principles ...
Paris, J. B., Vencovská, A.
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Curvature Symmetries

Acta Applicandae Mathematica, 2001
This paper is the new section 5 of the author's paper ``Affine connection complexes'', which appeared ibid. 59, 215-227 (1999; Zbl 0956.53014). Here is given the proof of Proposition 5.4.: The Riemannian curvature tensor \(R(g)\in\otimes^4\varepsilon\) of any Riemannian manifold \((M,g)\) is a symmetric element of the submodule \(A^2\varepsilon\otimes ...
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Symmetries I: Continuous Symmetries

2011
The concept of symmetry is paramount in modern Physics. In this chapter we are going to deal with the implementation of symmetries in quantum field theory. After reviewing the relation between continuous symmetries and conservations laws, we study how symmetries are realized quantum mechanically and in which way different realizations reflect in the ...
Luis Álvarez-Gaumé   +1 more
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Symmetries Due to Symmetry

2007
Abstract Schur’s lemmas play a fundamental role in the analysis of the representations of groups and algebras. They are powerful tools for the construction of a complete set of irreducible representations of any group. We exploit the first of Schur ‘s lemmas to detem1ine the most general form that a dynamical system in JR.N can have if ...
Robert Gilmore, Christophe Letellier
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Symmetry analysis

Journal of Electron Microscopy Technique, 1989
AbstractThe crystal point‐ and space‐group determination method using convergent‐beam electron diffraction (CBED) is reviewed. Crystal symmetry elements that can be observed by CBED are discussed.
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Symmetry and symmetry breaking

2023
This entry begins with a brief description of the historical roots and emergence of the concept of symmetry that is at work in modern science. It then turns to the application of this concept to physics, distinguishing between two different uses of symmetry: symmetry principles versus symmetry arguments.
K. Brading, CASTELLANI, ELENA, N. Teh
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Camouflaged Symmetry

Perception, 2009
The notions of symmetry group and camouflage are explained, and a technique is introduced to visually camouflage symmetry groups in natural textures. Two experiments were carried out to test discriminability of symmetry groups p1, p2, pm, and pg in 4-oddity and 5AFC designs with different or same texture per set of stimulus pictures, respectively.
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Symmetries II: Discrete Symmetries

2011
This is probably the most technical chapter of this book. Discrete symmetries play a fundamental role in modern particle physics and cosmology. We have delayed their study until now to be able to develop all the tools required to explore some or their fascinating consequences.
Luis Álvarez-Gaumé   +1 more
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Symmetries and symmetry breaking

2017
Abstract The spontaneous breaking of symmetries (SSB) is discussed for global symmetries and Goldstones theorem is derived. The renormalisation of theories with SSB is studied using the effective potential. Then SSB is applied to the Abelian Higgs model, both on the classical and quantum level.
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