symmetries in English
this series has a line of symmetry through its center
Use "symmetries" in a sentence
1. So, this object has six symmetries.
2. These may be Lie point symmetries, but usually they are generalised symmetries and they form more general algebras.
3. So both of these objects have six symmetries.
4. Lie Algebras represent a convenient and powerful description of continuous symmetries
5. 10 He would show the secret symmetries in a nondescript life.
6. But this is completely different to the symmetries of the triangle.
7. So the little table here records how the algebra of these symmetries work.
8. But let's go back down to symmetries that I got for these two objects.
9. Results were also obtained for Fermion masses and neutrino oscillations from non-abelian discrete symmetries.
10. The spectra of the external lattice vibrations are consistent with the following borohydride ion site symmetries:
11. Specifically, STRING focused on how different kinds of algebraic groups can be defined as symmetries of physical models.
12. The project investigated the presence of Abelian discrete symmetries in the context of semi-realistic globally consistent Gepner models.
13. Brachiopods and mollusks are in different phyla (large divisions of life) because they have different body symmetries and internal structures
14. Lie algebras arise in particular as tangent spaces to Lie groups at the identity element, leading to their interpretation as "infinitesimal symmetries".
15. But, using the language of Galois, we can understand that the underlying abstract symmetries of these things are actually the same.
16. The study of the mathematical properties of scattering amplitudes allows us to extract information about the structure of the underlying theory like symmetries at work.
17. The analogy is manifested by certain symmetries of influence functions, and enables the systematical representation of the basic relations and their interpretation within a larger context.
18. In the late 18th century, the Abel committee explains, it was realised that 'the key to understanding even the simplest equations lies in the symmetries of their solutions'.
19. The Weyl Curvature tensor has the same symmetries as the Riemann Curvature tensor, but with one extra constraint: its trace (as used to define the Ricci Curvature) must vanish
20. The approach advocated here employs a simple algebraic extension of vector formalism that generates Minkowski spacetime, displays covariant symmetries, and enables calculations of boosts and spatial rotations without matrices or tensors.
21. Lie's idée fixe was to develop a theory of symmetries of differential equations that would accomplish for them what Évariste Galois had done for algebraic equations: namely, to classify them in terms of group theory.