Exempel på symmetry

• The last three categorical axioms are concerned with symmetries.

• In particular the auxiliary tiles needed in all such formats can be characterized as the bidimensional counterparts of symmetries, duplicators and dischargers.

• Because an equivalence is reflexive, they include all original symmetries.

• The following representation theorem states the correspondence between double symmetries and ordinary symmetries.

• The helical symmetries of these filaments are the same irrespective of the original flagellin species.

• The notion of symmetries plays a key role for the establishment of the result.

• Here we study some of their basic properties, such as metric properties, symmetries, and spectral properties.

• Nonlinearizable holomorphic dynamics having an uncountable number of symmetries.

• We turn now to continuous translation symmetries, which do not have analogues in crystal structure.

• We first describe the computational results and then discuss the symmetries of the numerical solutions in order to establish the underlying bifurcation structure.

• Correspondingly, these symmetries imply the conservation laws of momentum and angular momentum.

• Furthermore, rules representing symmetries can be automatically detected using the modified algorithm.

• Examples of such features are symplecticity, volume preservation, integrals, symmetries, and many more.

• The other 40 matrices, which involve nontrivial permutations of the a(1) subalgebras, do not generate symmetries of the system.

• The par t rotational symmetries are measured with respect to the par t inser tion axis and an axis perpendicular to the inser tion axis.