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- Skew_coordinates abstract "A system of skew coordinates is a coordinate system where the coordinate surfaces are not orthogonal, in contrast to orthogonal coordinates.Skew coordinates tend to be more complicated to work with compared to orthogonal coordinates since the metric tensor will have nonzero off-diagonal components, preventing many drastic simplifications in formulas for tensor algebra and tensor calculus. The nonzero off-diagonal components of the metric tensor are a direct result of the non-orthogonality of the basis vectors of the coordinates, since by definition:where is the metric tensor and the (covariant) basis vectors.These coordinate systems can be useful if the geometry of a problem fits well into a skewed system. For example, solving Laplace's equation in a parallelogram will be easiest when done in appropriately skewed coordinates.".
- Skew_coordinates thumbnail SkewCartesianSystem.svg?width=300.
- Skew_coordinates wikiPageID "23934029".
- Skew_coordinates wikiPageRevisionID "552441848".
- Skew_coordinates hasPhotoCollection Skew_coordinates.
- Skew_coordinates subject Category:Coordinate_systems.
- Skew_coordinates type Abstraction100002137.
- Skew_coordinates type Arrangement105726596.
- Skew_coordinates type Cognition100023271.
- Skew_coordinates type CoordinateSystem105728024.
- Skew_coordinates type CoordinateSystems.
- Skew_coordinates type PsychologicalFeature100023100.
- Skew_coordinates type Structure105726345.
- Skew_coordinates comment "A system of skew coordinates is a coordinate system where the coordinate surfaces are not orthogonal, in contrast to orthogonal coordinates.Skew coordinates tend to be more complicated to work with compared to orthogonal coordinates since the metric tensor will have nonzero off-diagonal components, preventing many drastic simplifications in formulas for tensor algebra and tensor calculus.".
- Skew_coordinates label "Skew coordinates".
- Skew_coordinates sameAs m.076szpw.
- Skew_coordinates sameAs Q7534797.
- Skew_coordinates sameAs Q7534797.
- Skew_coordinates sameAs Skew_coordinates.
- Skew_coordinates wasDerivedFrom Skew_coordinates?oldid=552441848.
- Skew_coordinates depiction SkewCartesianSystem.svg.
- Skew_coordinates isPrimaryTopicOf Skew_coordinates.
