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The American mathematical monthly, 2000
The word "symmetry" is used in mathematics quite differently from in ordinary speech. In everyday life one applies it mainly to two-sided, right-left symmetry; but not so in mathematics.
J. Tits, J. Stillwell
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The word "symmetry" is used in mathematics quite differently from in ordinary speech. In everyday life one applies it mainly to two-sided, right-left symmetry; but not so in mathematics.
J. Tits, J. Stillwell
semanticscholar +1 more source
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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, 2003
Summary. A fairly general procedure is studied to perturb a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non‐symmetric densities.
A. Azzalini, A. Capitanio
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Summary. A fairly general procedure is studied to perturb a multivariate density satisfying a weak form of multivariate symmetry, and to generate a whole set of non‐symmetric densities.
A. Azzalini, A. Capitanio
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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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Non-Hermitian physics and PT symmetry
Nature Physics, 2018R. El-Ganainy+5 more
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Parity–time symmetry and exceptional points in photonics
Nature Materials, 2019Ş. Özdemir+3 more
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Symmetries in Spaces, Symmetries in Listening
2018Based on the importance of the concept of symmetry in French sociological aesthetics circa 1900, this chapter analyzes the convergence of theaters, musical form, and musical understanding. The analysis focuses on architectural shape, audience response, and the musical repertoire in the new theaters built in Barcelona (1847), Paris (1862), and Rome ...
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PSEUDOSPIN SYMMETRY: A RELATIVISTIC SYMMETRY IN NUCLEI
Challenges of Nuclear Structure, 2002We briefly review the evidence that pseudospin symmetry is an SU(2) symmetry of the Dirac Hamiltonian.
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Colloidal Synthesis of Metal Nanocrystals: From Asymmetrical Growth to Symmetry Breaking
Chemical Reviews, 2023Quynh N Nguyen+2 more
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