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On the material symmetry group for micromorphic media with applications to granular materials
Mechanics research communications, 2018Within the framework of the theory of nonlinear elastic micromorphic continua we introduce the new definition of the local material symmetry group. The group consists of ordered triples of second- and third-order tensors describing such changes of a ...
V. Eremeyev
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Oxford Scholarship Online, 2018
This chapter, which ends Part II on some consequences of the new approach, introduces an alternative prolongation theory of Klein geometries that is more geometric and intuitive than the well-known prolongation theory of a linear Lie algebra developed by
E. Ortaçgil
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This chapter, which ends Part II on some consequences of the new approach, introduces an alternative prolongation theory of Klein geometries that is more geometric and intuitive than the well-known prolongation theory of a linear Lie algebra developed by
E. Ortaçgil
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SPIE Proceedings, 2001
The form of macroscopic physical property tensors of a crystalline structure can be determined from its magnetic or non-magnetic point group symmetry. In a ferroic crystal containing two or more equally stable domains of the same structure but of different spatial orientation, macroscopic tensorial physical properties that are different in domains ...
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The form of macroscopic physical property tensors of a crystalline structure can be determined from its magnetic or non-magnetic point group symmetry. In a ferroic crystal containing two or more equally stable domains of the same structure but of different spatial orientation, macroscopic tensorial physical properties that are different in domains ...
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Reviews of Modern Physics, 1965
Summary: This article is a résumé, intended for experimentalists and other nonspecialists who have a need to know of that part of group representation theory which is employed in the spectroscopic classification of energy levels. A summary of the general properties of semisimple Lie groups, sufficient to make the treatment self-contained, is included ...
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Summary: This article is a résumé, intended for experimentalists and other nonspecialists who have a need to know of that part of group representation theory which is employed in the spectroscopic classification of energy levels. A summary of the general properties of semisimple Lie groups, sufficient to make the treatment self-contained, is included ...
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Social Choice and Welfare, 1996
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Symmetry Relationships between Crystal Structures
In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance.
U. Müller, Gemma de la Flor
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Symmetry without Groups: “Topological Symmetry”
2007Abstract Cover-image relations occur naturally whenever a g -----+ l (g 2”. 2) local diffeomorphism can be constructed and used to lift a strange attractor in ]Rn (n 2”. 3) to a g-fold cover in ]Rn. Local diffeomorphisms can be constructed algorithmically whenever a sylilliletry group of order g = lgl is identified and its action on ]Rn ...
Robert Gilmore, Christophe Letellier
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Continuous symmetry measures for complex symmetry group
Journal of Computational Chemistry, 2014Symmetry is a fundamental property of nature, used extensively in physics, chemistry, and biology. The Continuous symmetry measures (CSM) is a method for estimating the deviation of a given system from having a certain perfect symmetry, which enables us to formulate quantitative relation between symmetry and other physical properties.
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Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, 2005
We introduce the term skewed symmetry groups and provide a complete theoretical treatment for 2D wallpaper groups under affine transformations. For the first time, a given periodic pattern can be classified not simply by its Euclidean symmetry group but,by its highest "potential" symmetry group under affine deformation.
null Yanxi Liu, R.T. Collins
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We introduce the term skewed symmetry groups and provide a complete theoretical treatment for 2D wallpaper groups under affine transformations. For the first time, a given periodic pattern can be classified not simply by its Euclidean symmetry group but,by its highest "potential" symmetry group under affine deformation.
null Yanxi Liu, R.T. Collins
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Disconnected Groups as Higher Symmetry Groups
Journal of Mathematical Physics, 1965Disconnected groups are investigated to see whether they can be used as higher symmetry groups. Some disconnected groups are given which satisfy certain minimal physical conditions. Two disconnected groups are analyzed in detail using little group techniques, and it is shown how a doubling of certain multiplets results, so that particles and their ...
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