Примеры использования The symmetry group на Английском языке и их переводы на Русский язык
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This is the symmetry group of a circle.
Mathematically, QED is an abelian gauge theory with the symmetry group U1.
Dn is the symmetry group of a partially rotated prism.
It is, loosely speaking, the symmetry group of the object.
The symmetry group of a right pentagonal prism is D5h of order 20.
These vertices are identified as conjugate 3-transpositions in the symmetry group Fi22 of the graph.
In either case, there are n{\displaystyle n} axes of symmetry and 2 n{\displaystyle 2n}elements in the symmetry group.
The symmetry group of a right 3-sided prism with triangular base is D3h of order 12.
Together these generate the(proper isochronous)Poincaré group, the symmetry group of Minkowski spacetime.
Each of these subgroups is the symmetry group of a frieze pattern, and sample patterns are shown in Fig.
It is the automorphism group of the Klein quartic as well as the symmetry group of the Fano plane.
Dnh is the symmetry group for a regular(n+2)-sided prisms and also for a regular(2n)-sided bipyramid.
The symmetry group of the 110-vertex Iofina-Ivanov is the projective linear group PGL2(11), with 1320 elements.
However, in 3D the two operations are distinguished: the symmetry group denoted by Dn contains n 2-fold axes perpendicular to the n-fold axis, not reflections.
The symmetry group of the tiling is the(2,3,7) triangle group, and a fundamental domain for this action is the(2,3,7) Schwarz triangle.
When these are whole numbers, the triangle is called a Möbius triangle, andcorresponds to a non-overlapping tiling, and the symmetry group is called a triangle group. .
Dnd is the symmetry group for a regular(n+2)-sided antiprism, and also for a regular(2n)-sided trapezohedron.
Keywords: socion, the group of intertype relation operators, the symmetry group of tetragonal prism, dihedral groups, matrix formalism of intertype relations.
The symmetry group of an n-gonal trapezohedron is Dnd of order 4n, except in the case of a cube, which has the larger symmetry group Od of order 48, which has four versions of D3d as subgroups.
Representation theory is also important in physics because, for example,it describes how the symmetry group of a physical system affects the solutions of equations describing that system.
So, for example, when the symmetry group is a Lie group, then the charge operators correspond to the simple roots of the root system of the Lie algebra; the discreteness of the root system accounting for the quantization of the charge.
Icosahedral symmetry is equivalently the projective special linear group PSL(2,5), and is the symmetry group of the modular curve X(5), and more generally PSL(2,p) is the symmetry group of the modular curve Xp.
For any regular polytope the symmetry group(here a complex reflection group, called a Shephard group) acts transitively on the flags, that is, on the nested sequences of a point contained in a line contained in a plane and so on.
Exercises that are considered this time will enable students to get acquainted with of 3D variant of Model A in the form of tetragonal prism, andalso to compare the symmetry group of this prism with the group of classical intertype relation operators.
There are an infinite number of uniform tilings based on the Schwarz triangles(p q r) where 1/p+ 1/q+ 1/r< 1, where p, q,r are each orders of reflection symmetry at three points of the fundamental domain triangle- the symmetry group is a hyperbolic triangle group. .
This group's subgroups include D3d(order 12), the symmetry group of a triangular antiprism; D4h(order 16), the symmetry group of a square bipyramid; and Td(order 24), the symmetry group of a rectified tetrahedron.