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Symmetry

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
semanticscholar   +1 more source

Symmetries and Breaking of Symmetries

2016
Symmetries 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
openaire   +2 more sources

Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution

, 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
semanticscholar   +1 more source

Symmetrie in Kristallen

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.
openaire   +2 more sources

Non-Hermitian physics and PT symmetry

Nature Physics, 2018
R. El-Ganainy   +5 more
semanticscholar   +1 more source

Parity–time symmetry and exceptional points in photonics

Nature Materials, 2019
Ş. Özdemir   +3 more
semanticscholar   +1 more source

Symmetries in Spaces, Symmetries in Listening

2018
Based 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 ...
openaire   +2 more sources

PSEUDOSPIN SYMMETRY: A RELATIVISTIC SYMMETRY IN NUCLEI

Challenges of Nuclear Structure, 2002
We briefly review the evidence that pseudospin symmetry is an SU(2) symmetry of the Dirac Hamiltonian.
openaire   +3 more sources

Colloidal Synthesis of Metal Nanocrystals: From Asymmetrical Growth to Symmetry Breaking

Chemical Reviews, 2023
Quynh N Nguyen   +2 more
exaly  

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