# symmetry class

## symmetry class

[′sim·ə‚trē ‚klas] (crystallography)

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(crystallography)

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The symmetry class of the principal eigenvector is known in advance only for a small class of Toeplitz matrices.

For general Toeplitz matrices [T.sub.n] the symmetry class is detected by the algorithm at negligible cost.

KUPERBERG, Symmetry classes of alternating sign matrices under one roof, Ann.

This textbook on partial differential equations focuses on how this branch of mathematics is being used in general relativity research, especially in regards to matter models and symmetry classes. Rendall (Max Planck Institute for Gravitational Physics, Germany) has developed this material for graduate students and research scientists in mathematics and physics who need to expand their knowledge of Einstein's equations, including asymptomatically flat and spatially compact spacetimes.

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- symmetry axis
- symmetry axis of rotary inversion
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