Examples of 'symmetry group' in a sentence
Meaning of "symmetry group"
A mathematical concept that represents a set of transformations that preserve the symmetry of an object or system
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- A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
How to use "symmetry group" in a sentence
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symmetry group
Their symmetry group has four elements.
The collection of symmetries of a polyhedron is called its symmetry group.
The symmetry group does not contain inversion.
Let us investigate our squares symmetry group some more.
Its symmetry group also has four elements.
Each fish provides a fundamental region for this symmetry group.
This is the symmetry group of a circle.
Symmetry group translation.
A similar fact holds true for the symmetry group of an icosahedron.
Their symmetry group consists only of the identity mapping.
For chiral objects it is the same as the full symmetry group.
A lattice is the symmetry group of discrete translational symmetry in n directions.
Note that dual polytopes have the same symmetry group.
The symmetry group contains inversion if and only if n is odd.
The rotations form an invariant subgroup of the full symmetry group.
See also
A symmetry group obeys the defining properties of any group.
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
Its symmetry group is a frieze group generated by a single glide reflection.
The compound of three octahedra has the same symmetry group as a single octahedron.
The order of the symmetry group is the number of symmetries of the polyhedron.
The flags of any regular polytope form a torsor for its symmetry group.
The actual symmetry group should be distinguished from the wallpaper group.
The collection of all such symmetries for a model is called its symmetry group.
The symmetry group of any model is established and symmetries can be displayed.
D patterns with double translational symmetry can be categorized according to their symmetry group type.
Stella can then repeat them over the symmetry group to create the whole model.
The omnitruncated dual polychora have cells that match the fundamental domains of the symmetry group.
The symmetry group Dnh contains inversion iff n is even.
They correspond to the double cover of the rotational symmetry group of the regular tetrahedron.
It is the proper symmetry group of a circle and the continuous equivalent of Cn.
The answer is just the dihedral symmetry group Dihn.
This larger symmetry group has since become known as the Ehlers group.
There is a special class of nonlinear σ models with the internal symmetry group G.
The Poincaré group is the full symmetry group of any relativistic field theory.
The symmetry group of SR is the restricted Lorentz group.
Introduction to quantum mechanics Group theory Symmetry group.
A typical object with symmetry group Cn or Dn is a propeller.
At this limit, there appears a local symmetry group.
The Schrödinger group is the symmetry group of the free particle Schrödinger equation.
M5 branes can be introduced by using an infinite symmetry group.
The symmetry group is isomorphic with Z.
However, there is no pattern with this group as symmetry group.
The latter is the symmetry group for a regular n-sided pyramid.
A probability measure is sought on this space, invariant under the symmetry group.
Their symmetry group has two elements, the identity and a diagonal reflection.
Frucht 's theorem says that every group is the symmetry group of some graph.
In wider contexts, a symmetry group may be any kind of transformation group, or automorphism group.
In classical physics, physical configurations need to transform under representations of every symmetry group.
For example, it arises as the point symmetry group of a certain ordinary differential equation.
The symmetry group of any model is automatically established, and symmetries may be displayed graphically.
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Examples of using Group
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Salbutamol is one of a group of medicines called bronchodilators
No group of people is more or less deserving of protection
Donor support working group meetings were held
Examples of using Symmetry
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Our hearts desire symmetry and proportion
Symmetry between information and cooperation is needed
All animals prefer symmetry in their mates
