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...

{\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...

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...

m=1/n} or n = 1 / m {\displaystyle n=1/m} , the transformation is a squeeze mapping. Mathematics portal 2D_computer_graphics#Scaling Digital zoom Dilation...

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),...

{\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...

change), so objects effectively undergo a squeeze mapping, properly an inhomogeneous squeeze (magnitude of squeeze varies with distance to the camera), hence...

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

dynamical systems Bifurcation, of an incompressible flow, modeled by squeeze mapping the fluid flow River bifurcation, the forking of a river into its tributaries...

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

dimension Examples of vector spaces Linear map Shear mapping or Galilean transformation Squeeze mapping or Lorentz transformation Linear subspace Row and...

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

a rectangle may be obtained by applying a squeeze mapping to the square. Another way to view these mappings is via hyperbolic sectors. Starting from (1...

converse is not true. In fact, shear mapping and squeeze mapping are counterexamples to the converse. Shear mapping takes a rectangle to a parallelogram...

with reciprocal values, then the transformation matrix represents a squeeze mapping: [ k 0 0 1 / k ] . {\displaystyle {\begin{bmatrix}k&0\\0&1/k\end{bmatrix}}...

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...

Axial ratio Ratio Equidimensional ratios in 3D List of film formats Squeeze mapping Scale (ratio) Vertical orientation Rouse, Margaret (September 2005)...

A real m-by-n matrix A gives rise to a linear transformation Rn → Rm mapping each vector x in Rn to the (matrix) product Ax, which is a vector in Rm...

The hyperbolic angle is an invariant measure with respect to the squeeze mapping, just as the circular angle is invariant under rotation. The Gudermannian...

plane isometries are mappings that preserve area, but the converse is false as shown by counterexamples shear mapping and squeeze mapping. Other examples include...

invariant under rotation, and hyperbolic angle measure is invariant under squeeze mapping. The Haar measure for a locally compact topological group is a generalization...

transformation that takes a square to a rectangle of the same area (a squeeze mapping) has reciprocal eigenvalues. The eigendecomposition of a symmetric...

{A} ={\begin{pmatrix}1&-\sin \theta \\0&\cos \theta \end{pmatrix}}} squeeze mapping: A = ( k 0 0 1 k ) {\displaystyle \mathbf {A} ={\begin{pmatrix}k&0\\0&{\frac...

involves rapidity instead of velocity, and substitutes squeeze mapping for the shear mapping used earlier. This affine geometry was developed synthetically...

stay constant as the density-temperature quadrant (ρ,T) undergoes a squeeze mapping. The adjective "isobaric" is derived from the Greek words ἴσος (isos)...

In calculus, the squeeze theorem (also known as the sandwich theorem, among other names) is a theorem regarding the limit of a function that is bounded...

(invariant under rotation) and hyperbolic angle, with invariance group of squeeze mappings. The concept of a slope or gradient is also used as a basis for developing...

p) is known as the split orthogonal group. The basic example is the squeeze mappings, which is the group SO+(1, 1) of (the identity component of) linear...

boost in the ( t , x ) {\displaystyle (t,x)} plane shows up as the squeeze mapping x + → e + β x + {\displaystyle x^{+}\to e^{+\beta }x^{+}} , x − → e...