Symmetries in a sentence

Now, the symmetries compatible with translations are defined as "crystallographic", leaving room for other "non-crystallographic" symmetries.

The symmetries of a regular tetrahedron correspond to those of a cube which map each tetrahedron to itself; the other symmetries of the cube map the two to each other.

Young’s acclaimed 2017 film moves as if by stealth through the soaring architecture of the Brussels law courts, noticing strange symmetries, hidden figures, the weird murmur of voices that are always elsewhere, behind closed doors.

The symmetry of the system as a whole cannot be higher than the intersection of the two symmetries.

Physicists used to believe that nature was characterized by symmetries in a “mirror world” where time moves backwards.

A square has eight symmetries.

As well as helping to classify spacetimes, these symmetries usually serve as a simplifying assumption in specialized work.

Counting only once the solutions connected by symmetries and assuming that the equal tetrominoes are non-distinguishable the number goes down to 783. There are only 13 fundamental solutions which are symmetric under a 180 degrees rotation.

Grand Unified Theories (GUTs) are proposals to show that all of the fundamental interactions, other than gravity, arise from a single interaction with symmetries that break down at low energy levels.

Herstein 1975, §2.6, p. 54 Two symmetries are combined by composing them as functions, that is, applying the first one to the square, and the second one to the result of the first application.

However, these also count as symmetries forced by special relativity since they leave the spacetime interval invariant.

If cells are colored based on unique positions within each Wythoff construction, these different symmetries can be shown.

In general, χ (n) is an n+1 order tensor representing both the polarization dependent nature of the parametric interaction as well as the symmetries (or lack of) of the nonlinear material.

In other arts and crafts Celtic knotwork Symmetries appear in the design of objects of all kinds.

In the 1960s, he introduced current algebra as a method of systematically exploiting symmetries to extract predictions from quark models, in the absence of reliable dynamical theory.

In their derivation, they derive the velocity field by demanding the appropriate transformation properties given by the various symmetries that Schrödinger's equation satisfies, once the wavefunction is suitably transformed.

Lie and other mathematicians showed that the most important equations for special functions and orthogonal polynomials tend to arise from group theoretical symmetries.

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.

Not only are groups useful to assess the implications of symmetries in molecules, but surprisingly they also predict that molecules sometimes can change symmetry.

Number of terminal positions When considering only the state of the board, and after taking into account board symmetries (i.e. rotations and reflections), there are only 138 terminal board positions.