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An elliptically symmetric fisher distribution and its application in statistics of discontinuities in rock mass. [PDF]
Wang S, Sun J, Cheng Y, Shu F, Qiu C.
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The Mathematical Intelligencer, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetries and symmetry breaking
2017Abstract 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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2008
Scarcely any term connects art and science more closely than symmetry. This was already a theme in ancient times, as is found in Vitruvius, for example. On the beach of an unknown island, a shipwrecked traveler finds neatly arranged geometric figures. Can he conclude from this that there is an intelligent creator (perhaps even a god)?
Otto E. Rössler+9 more
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Scarcely any term connects art and science more closely than symmetry. This was already a theme in ancient times, as is found in Vitruvius, for example. On the beach of an unknown island, a shipwrecked traveler finds neatly arranged geometric figures. Can he conclude from this that there is an intelligent creator (perhaps even a god)?
Otto E. Rössler+9 more
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Symmetry for the sake of symmetry, or symmetry for the sake of behavior?
Behavioral and Brain Sciences, 2002Wynn suggests that the imposition of symmetry on stone tools is indicative of the evolutionary development of cognitive abilities of the tool makers, particularly that of creating mental images. I suggest that it is more likely indicative of the evolutionary development of the perceptual ability to detect resources for behavior of hand-held objects.
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Symmetries and Breaking of Symmetries
2016Symmetries help to reduce complexity of calculations. A familiar example is the use of spherical polar coordinates in calculating integrals of quantities which are spherical symmetric. If one manages to find coordinates fitting to symmetries, some of them disappear from the invariant functions and this reduces the calculation task drastically. The same
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1994
Symmetrie in Kristallen: Einfache und translationshaltige Symmetrieelemente sowie deren Kopplung und Kombination zu den 230 Raumgruppen. Makroskopische Symmetrie in 32 Kristallklassen, Symmetrie im Beugungsbild mit 11 Lauegruppen. Bestimmung der Raumgruppe aus der Lauegruppe und den systematischen Ausloschungen.
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Symmetrie in Kristallen: Einfache und translationshaltige Symmetrieelemente sowie deren Kopplung und Kombination zu den 230 Raumgruppen. Makroskopische Symmetrie in 32 Kristallklassen, Symmetrie im Beugungsbild mit 11 Lauegruppen. Bestimmung der Raumgruppe aus der Lauegruppe und den systematischen Ausloschungen.
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