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- Generalized_Helmholtz_theorem abstract "The generalized Helmholtz theorem on skates is the multi-dimensional generalization of the Helmholtz theorem which is valid only in one dimension. The generalized Helmholtz theorem reads as follows.Letbe the canonical coordinates of a s-dimensional Hamiltonian system, and letbe the Hamiltonian function, where,is the kinetic energy andis the potential energy which depends on a parameter .Let the hyper-surfaces of constant energy in the 2s-dimensional phase space of the system be metrically indecomposable and let denote time average. Define the quantities , , , , as follows:,,,Then:".
- Generalized_Helmholtz_theorem wikiPageID "3851416".
- Generalized_Helmholtz_theorem wikiPageRevisionID "586249170".
- Generalized_Helmholtz_theorem hasPhotoCollection Generalized_Helmholtz_theorem.
- Generalized_Helmholtz_theorem subject Category:Theorems_in_dynamical_systems.
- Generalized_Helmholtz_theorem subject Category:Theorems_in_mathematical_physics.
- Generalized_Helmholtz_theorem type Abstraction100002137.
- Generalized_Helmholtz_theorem type Attribute100024264.
- Generalized_Helmholtz_theorem type Communication100033020.
- Generalized_Helmholtz_theorem type DynamicalSystem106246361.
- Generalized_Helmholtz_theorem type DynamicalSystems.
- Generalized_Helmholtz_theorem type Message106598915.
- Generalized_Helmholtz_theorem type PhaseSpace100029114.
- Generalized_Helmholtz_theorem type PhysicsTheorems.
- Generalized_Helmholtz_theorem type Proposition106750804.
- Generalized_Helmholtz_theorem type Space100028651.
- Generalized_Helmholtz_theorem type Statement106722453.
- Generalized_Helmholtz_theorem type Theorem106752293.
- Generalized_Helmholtz_theorem type TheoremsInDynamicalSystems.
- Generalized_Helmholtz_theorem type TheoremsInMathematicalPhysics.
- Generalized_Helmholtz_theorem comment "The generalized Helmholtz theorem on skates is the multi-dimensional generalization of the Helmholtz theorem which is valid only in one dimension.".
- Generalized_Helmholtz_theorem label "Generalized Helmholtz theorem".
- Generalized_Helmholtz_theorem sameAs m.0b38xg.
- Generalized_Helmholtz_theorem sameAs Q5532439.
- Generalized_Helmholtz_theorem sameAs Q5532439.
- Generalized_Helmholtz_theorem sameAs Generalized_Helmholtz_theorem.
- Generalized_Helmholtz_theorem wasDerivedFrom Generalized_Helmholtz_theorem?oldid=586249170.
- Generalized_Helmholtz_theorem isPrimaryTopicOf Generalized_Helmholtz_theorem.