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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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Skew-Symmetry and Symmetry in the Tensor Algebra
1967Let E be a vector space and let ⊗ p E be a p-th tensorial power of E, p ≧ 2. Then every permutation σ∈SP*) determines a linear automorphism (also denoted by σ) of ⊗ p E given by $$ \sigma ({x_1} \otimes \cdot \cdot \cdot \otimes {x_p}) = {x_{\sigma {}^{ - 1}(1)}} \otimes \cdot \cdot \cdot \otimes {x_{\sigma {}^{ - 1}(p)}}. $$
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Symmetry, asymmetry and meso-symmetry
The American Journal of Medicine, 1959openaire +2 more sources
Effects of symmetry breaking in finite quantum systems
Physics Reports, 2013J L Birman +2 more
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Symmetry-Protected Topological Phases of Quantum Matter
Annual Review of Condensed Matter Physics, 2015T Senthil
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Symmetry as a continuous feature
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1995Shmuel Peleg, D Avnir
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C3 Symmetry in Asymmetric Catalysis and Chiral Recognition
Angewandte Chemie - International Edition, 1998Christina Moberg
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