Squeeze mapping
id:
squeeze-mapping-232-1106963
title:
Squeeze mapping
text:
In linear algebra, a squeeze mapping, also called a squeeze transformation, is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a rotation or shear mapping. For a fixed positive real number a, the mapping
- ↦ is the squeeze mapping with parameter a. Since
- { : u v = c o n s t a n t } is a hyperbola, if u = ax and v = y/a, 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 i
brand slug:
wiki
category slug:
encyclopedia
description:
Linear mapping permuting rectangles of the same area
original url:
https://en.wikipedia.org/wiki/Squeeze_mapping
date created:
2004-11-07T02:00:39Z
date modified:
2024-09-15T21:27:49Z
main entity:
{"identifier":"Q7582218","url":"https://www.wikidata.org/entity/Q7582218"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/67/Squeeze_r%3D1.5.svg","width":820,"height":550}
fields total:
13
integrity:
16