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...

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

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...

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

{\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...

necessarily perpendicular); this includes reflections, a shear mapping a squeeze mapping. Given two non-degenerate triangles ABC and A′B′C′ in a Euclidean...

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),...

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

{\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...

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...

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...

hyperbolic motion of HP given by a left-right shift corresponds to a squeeze mapping applied to Q. Since hyperbolas in Q correspond to lines parallel to...

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

{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...

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

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

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

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

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

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...

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}}...

microprocessors. A rotation can also be written as two shears and a squeeze mapping (an area preserving scaling) (Daubechies & Sweldens 1998): R ( θ )...

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

transformation R n → R m {\displaystyle \mathbb {R} ^{n}\to \mathbb {R} ^{m}} mapping each vector x in ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠ to the (matrix)...

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

(invariant under rotation) and hyperbolic angle, with invariance group of squeeze mappings. The slope of a roof, traditionally and commonly called the roof pitch...

the study of spacetime, but also noted the identity of a spacetime squeeze mapping and a Lorentz transformation. In 1926, he coined the term "photon"...

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...

&0&0\\0&0&0\end{bmatrix}}} which has only shearing components. Simple shear Squeeze mapping Reish, Nathaniel E.; Gary H. Girty. "Definition and Mathematics of...

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...