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- Squeeze_mapping abstract "In linear algebra, a squeeze mapping is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a Euclidean motion.For a fixed positive real number r, the mapping(x, y) → (rx, y/r )is the squeeze mapping with parameter r. Sinceis a hyperbola, if u = rx and v = y/r, then uv = xy and the points of the image of the squeeze mapping are on the same hyperbola as (x,y) is. For this reason it is natural to think of the squeeze mapping as a hyperbolic rotation, as did Émile Borel in 1913, by analogy with circular rotations which preserve circles.".
- Squeeze_mapping thumbnail Squeeze_r=1.5.svg?width=300.
- Squeeze_mapping wikiPageExternalLink nes.pdf.
- Squeeze_mapping wikiPageID "1140043".
- Squeeze_mapping wikiPageRevisionID "566605702".
- Squeeze_mapping hasPhotoCollection Squeeze_mapping.
- Squeeze_mapping subject Category:Affine_geometry.
- Squeeze_mapping subject Category:Articles_containing_proofs.
- Squeeze_mapping subject Category:Functions_and_mappings.
- Squeeze_mapping subject Category:Linear_algebra.
- Squeeze_mapping type Abstraction100002137.
- Squeeze_mapping type Function113783816.
- Squeeze_mapping type FunctionsAndMappings.
- Squeeze_mapping type MathematicalRelation113783581.
- Squeeze_mapping type Relation100031921.
- Squeeze_mapping comment "In linear algebra, a squeeze mapping is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a Euclidean motion.For a fixed positive real number r, the mapping(x, y) → (rx, y/r )is the squeeze mapping with parameter r. Sinceis a hyperbola, if u = rx and v = y/r, then uv = xy and the points of the image of the squeeze mapping are on the same hyperbola as (x,y) is.".
- Squeeze_mapping label "Squeeze mapping".
- Squeeze_mapping sameAs m.049s3h.
- Squeeze_mapping sameAs Q7582218.
- Squeeze_mapping sameAs Q7582218.
- Squeeze_mapping sameAs Squeeze_mapping.
- Squeeze_mapping wasDerivedFrom Squeeze_mapping?oldid=566605702.
- Squeeze_mapping depiction Squeeze_r=1.5.svg.
- Squeeze_mapping isPrimaryTopicOf Squeeze_mapping.
