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Symmetry as tactics of solving mathematical problems
Lietuvos Matematikos Rinkinys, 2012 The article explores symmetry as tactics in solving various mathematical problems. Although in Mathematics curriculum while learning about Geometry, symmetry is taught and simple straightforward exercises are solved, it is argued that the application of ...
Aistė Elijio, Dovilė Malijonytė
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Computers & Mathematics with Applications, 1986 AbstractThe beautiful external forms of crystals are manifestations of their internal structures. These structures, which can be regarded as infinite periodic patterns, are determined by local forces. In this article we discuss symmetry from the “local” point of view.
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Symmetry notion as a universal principle of design [PDF]
Arhitektura i Urbanizam, 2008 Symmetry is a word that appears in a variety of disciplines over a variety of ages, carries many meanings and has always been in direct relation to the most important notions which explain architectural creativity.
Jadrešin-Milić Renata
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On the coupling of Galilean-invariant field theories to curved spacetime
SciPost Physics, 2018 We consider the problem of coupling Galilean-invariant quantum field theories to a fixed spacetime. We propose that to do so, one couples to Newton-Cartan geometry and in addition imposes a one-form shift symmetry.
Kristan Jensen
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Poisson gauge models and Seiberg-Witten map
Journal of High Energy Physics, 2022 The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the ...
V. G. Kupriyanov +2 more
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On classification of geometries with SO(2,2) symmetry [PDF]
Journal of High Energy Physics, 2014 Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton (EMD) theory with positive, zero or negative cosmological constant Lambda, the EMD-$ $ theory, and also $U(1)^4 ...
Sadeghian, S. +2 more
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Bis(1-adamantylammonium) tetrachloridocobaltate(II)
Acta Crystallographica Section E, 2008 The CoII atom in the title salt, (C10H18N)2[CoCl4], exists in a tetrahedral coordination geometry. The asymmetric unit has two cations that lie on different special positions of site symmetry m; the anion lies on another special position of site symmetry
Seik Weng Ng +3 more
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Mathematical Geometry and Groups for Low-Symmetry Metal Complex Systems
Molecules, 2023 Since chemistry, materials science, and crystallography deal with three-dimensional structures, they use mathematics such as geometry and symmetry. In recent years, the application of topology and mathematics to material design has yielded remarkable ...
Takashiro Akitsu
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On the Use of Symmetry in Geometry [PDF]
Proceedings of the Edinburgh Mathematical Society, 1903 Two features characterise the treatment of Geometry as presented in Euclid's “Elements”: (1) the propositions are arranged in a definite sequence which cannot be greatly altered without invalidating the proofs; (2) there are no methods of proof applicable to a large number of propositions.
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Hexakis(dimethyl sulfoxide-κO)cobalt(III) trinitrate
Acta Crystallographica Section E, 2010 The metal atom of the title salt, [Co(C2H6OS)6](NO3)3, is coordinated by six dimethyl sulfoxide molecules in an octahedral geometry. The metal atom lies on a special position of overline{3} site symmetry.
Qiuhong Li, Seik Weng Ng
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