Examples of 'rotation group' in a sentence
Meaning of "rotation group"
rotation group: This term refers to a set of individuals or objects that take turns in a specific sequence or order, often involving periodic or cyclical movements
How to use "rotation group" in a sentence
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rotation group
O is the rotation group of the cube and the regular octahedron.
That is, these matrices represent the rotation group elements.
Representations of the rotation group into a direct sum of irreducible representations.
Therefore the set of rotations has a group structure, known as a rotation group.
The rotation group is a group under function composition or equivalently the product of linear transformations.
Furthermore, the rotation group is nonabelian.
After this identification, we arrive at a topological space homeomorphic to the rotation group.
This is the rotation group of a regular prism, or regular bipyramid.
This is part of the detailed algebraic discussion of the rotation group SO3.
The rotation group is often denoted SO ( 3 ) for reasons explained below.
Each individual space is an irreducible representation space of the rotation group SO3.
The icosahedral rotation group I is of order 60.
This brings the structure constants into line with those of the rotation group SO3.
T - chiral tetrahedral symmetry ; the rotation group for a regular tetrahedron ; order 12.
Definition of the Three-Dimensional Rotation Group.
See also
O - chiral octahedral symmetry ; the rotation group of the cube and octahedron ; order 24.
The set of all rotations forms a Lie subgroup isomorphic to the ordinary rotation group SO ( 3 ).
I - chiral icosahedral symmetry ; the rotation group of the icosahedron and the dodecahedron ; order 60.
An object with symmetry group Dn, Dnh, or Dnd has rotation group Dn.
The rotation group in four dimensions, SO ( 4 ), has six degrees of freedom.
An object with symmetry group Cn, Cnh, Cnv or S2n has rotation group Cn.
For the notation, please see rotation group SO ( 3 ) A note on representations.
The whole O ( 3 ) is the symmetry group of spherical symmetry ; SO ( 3 ) is the corresponding rotation group.
These include, T - chiral tetrahedral symmetry ; the rotation group for a regular tetrahedron ; order 12.
The rotation group is D3 of order 6.
There is a close analogy between this group and O ( 3 ), the rotation group in three-dimensional space.
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