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- Gyration_tensor abstract "In physics, the gyration tensor is a tensor that describes the second moments of position of a collection of particles where is the Cartesian coordinate of the position vector of the particle. The origin of the coordinate system has been chosen such thati.e. in the system of the center of mass . WhereAnother definition, which is mathematically identical but gives an alternative calculation method, is:Therefore, the x-y component of the gyration tensor for particles in Cartesian coordinates would be:In the continuum limit,where represents the number density of particles at position .Although they have different units, the gyration tensor is related to the moment of inertia tensor. The key difference is that the particle positions are weighted by mass in the inertia tensor, whereas the gyration tensor depends only on the particle positions; mass plays no role in defining the gyration tensor. Thus, the gyration tensor would be proportional to the inertial tensor if all the particle masses were identical.".
- Gyration_tensor wikiPageID "5066430".
- Gyration_tensor wikiPageRevisionID "574554245".
- Gyration_tensor hasPhotoCollection Gyration_tensor.
- Gyration_tensor subject Category:Polymer_physics.
- Gyration_tensor subject Category:Tensors.
- Gyration_tensor type Abstraction100002137.
- Gyration_tensor type Cognition100023271.
- Gyration_tensor type Concept105835747.
- Gyration_tensor type Content105809192.
- Gyration_tensor type Idea105833840.
- Gyration_tensor type PsychologicalFeature100023100.
- Gyration_tensor type Quantity105855125.
- Gyration_tensor type Tensor105864481.
- Gyration_tensor type Tensors.
- Gyration_tensor type Variable105857459.
- Gyration_tensor comment "In physics, the gyration tensor is a tensor that describes the second moments of position of a collection of particles where is the Cartesian coordinate of the position vector of the particle. The origin of the coordinate system has been chosen such thati.e. in the system of the center of mass .".
- Gyration_tensor label "Gyration tensor".
- Gyration_tensor label "Tensor żyracji".
- Gyration_tensor sameAs Tensor_żyracji.
- Gyration_tensor sameAs m.0d1693.
- Gyration_tensor sameAs Q5625394.
- Gyration_tensor sameAs Q5625394.
- Gyration_tensor sameAs Gyration_tensor.
- Gyration_tensor wasDerivedFrom Gyration_tensor?oldid=574554245.
- Gyration_tensor isPrimaryTopicOf Gyration_tensor.