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...

with a homothety and a translation, shear mapping combined with a homothety and a translation, or squeeze mapping combined with a homothety and a translation...

has been used to define hyperbolic distance in a geometry textbook. Squeeze mapping V.G. Ashkinuse & Isaak Yaglom (1962) Ideas and Methods of Affine and...

hyperbolic angle is invariant under squeeze mapping, and a difference of slopes is invariant under shear mapping. Ergodic theory is the study of invariant...

{\displaystyle e^{bj}\!} then corresponds under this linear transformation to a squeeze mapping σ : ( u , v ) ↦ ( r u , v r ) , r = e b   . {\displaystyle \sigma :(u...

{\ell }{k}}b,\ b)} shear mapping ∼ ( k a + ℓ b ,   1 k b ) {\displaystyle \thicksim (ka+\ell b,\ {\tfrac {1}{k}}b)} squeeze mapping ∼ ( k a + ℓ b ,   1 k...

algebra, precursor to Minkowski space Hyperbolic rotation, a synonym for squeeze mapping Hyperbolic sector, a planar region demarcated by radial lines and a...

hyperbola the turning is by squeeze mapping, and the hyperbolic angle magnitudes stay the same when the plane is squeezed by a mapping (x, y) ↦ (rx, y / r),...

Charts on SO(3) Rotations and reflections in two dimensions CORDIC Squeeze mapping Infinitesimal rotation matrix Irrational rotation Orientation (geometry)...

and is a shear mapping. If | t r ( A ) | > 2 {\displaystyle |\mathrm {tr} (A)|>2} , then A is called hyperbolic, and is a squeeze mapping. The names correspond...