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- Continuous_symmetry abstract "In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to e.g. reflection symmetry, which is invariance under a kind of flip from one state to another. It has largely and successfully been formalised in the mathematical notions of topological group, Lie group and group action. For most practical purposes continuous symmetry is modelled by a group action of a topological group. The simplest motions follow a one-parameter subgroup of a Lie group, such as the Euclidean group of three-dimensional space. For example translation parallel to the x-axis by u units, as u varies, is a one-parameter group of motions. Rotation around the z-axis is also a one-parameter group.Continuous symmetry has a basic role in Noether's theorem in theoretical physics, in the derivation of conservation laws from symmetry principles, specifically for continuous symmetries. The search for continuous symmetries only intensified with the further developments of quantum field theory.".
- Continuous_symmetry wikiPageID "3667668".
- Continuous_symmetry wikiPageRevisionID "605287803".
- Continuous_symmetry hasPhotoCollection Continuous_symmetry.
- Continuous_symmetry subject Category:Group_actions.
- Continuous_symmetry subject Category:Lie_groups.
- Continuous_symmetry subject Category:Symmetry.
- Continuous_symmetry type Abstraction100002137.
- Continuous_symmetry type Act100030358.
- Continuous_symmetry type Event100029378.
- Continuous_symmetry type Group100031264.
- Continuous_symmetry type GroupAction101080366.
- Continuous_symmetry type GroupActions.
- Continuous_symmetry type LieGroups.
- Continuous_symmetry type PsychologicalFeature100023100.
- Continuous_symmetry type YagoPermanentlyLocatedEntity.
- Continuous_symmetry comment "In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to e.g. reflection symmetry, which is invariance under a kind of flip from one state to another. It has largely and successfully been formalised in the mathematical notions of topological group, Lie group and group action. For most practical purposes continuous symmetry is modelled by a group action of a topological group.".
- Continuous_symmetry label "Continue symmetrie".
- Continuous_symmetry label "Continuous symmetry".
- Continuous_symmetry label "連續對稱".
- Continuous_symmetry sameAs Continue_symmetrie.
- Continuous_symmetry sameAs m.09tb_4.
- Continuous_symmetry sameAs Q1996344.
- Continuous_symmetry sameAs Q1996344.
- Continuous_symmetry sameAs Continuous_symmetry.
- Continuous_symmetry wasDerivedFrom Continuous_symmetry?oldid=605287803.
- Continuous_symmetry isPrimaryTopicOf Continuous_symmetry.