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Linear map that preserves areas
In linear algebra, a squeeze mapping, also called a squeeze transformation, is a type of linear map that preserves the Euclidean area of regions in the
Squeeze_mapping
Geometric transformation that preserves lines but not angles nor the origin
necessarily perpendicular); this includes reflections, a shear mapping a squeeze mapping. Given two non-degenerate triangles ABC and A′B′C′ in a Euclidean
Affine_transformation
Argument of the hyperbolic functions
against hyperbola xy = 1, and they both are preserved by squeeze mappings since those mappings preserve area. The hyperbola xy = 1 is rectangular with
Hyperbolic_angle
Concept in mathematics
hyperbolic angle is invariant under squeeze mapping, and a difference of slopes is invariant under shear mapping. Ergodic theory is the study of invariant
Invariant_measure
Reals with an extra square root of +1 adjoined
{\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
Split-complex_number
Attribute of a geometric shape
Axial ratio Ratio Equidimensional ratios in 3D List of film formats Squeeze mapping Scale (ratio) Vertical orientation Rouse, Margaret (September 2005)
Aspect_ratio
Hyperbolic analogues of trigonometric functions
The hyperbolic angle is an invariant measure with respect to the squeeze mapping, just as the circular angle is invariant under rotation. The Gudermannian
Hyperbolic_functions
Area interpreted positively or negatively
{\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
Signed_area
Transformation that preserves area measure of regions
converse is not true. In fact, shear mapping and squeeze mapping are counterexamples to the converse. Shear mapping takes a rectangle to a parallelogram
Equiareal_map
Mathematical function with no sudden changes
stochastic process Normal function Open and closed maps Piecewise Squeeze mapping Symmetrically continuous function Direction-preserving function – an
Continuous_function
Central object in linear algebra; mapping vectors to vectors
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}}
Transformation_matrix
Mathematical function, in linear algebra
{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
Linear_map
Group of real 2×2 matrices with unit determinant
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
SL2(R)
Exception to a proposed general rule
plane isometries are mappings that preserve area, but the converse is false as shown by counterexamples shear mapping and squeeze mapping. Other examples include
Counterexample
Geometric mean and hyperbolic angle as coordinates in quadrant I
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
Hyperbolic_coordinates
Geometric transformation
n<1} , it is a contraction. If m × n = 1, the transformation is a squeeze mapping. Mathematics portal 2D computer graphics#Scaling Digital zoom Dilation
Scaling_(geometry)
Concepts from linear algebra
transformation that takes a square to a rectangle of the same area (a squeeze mapping) has reciprocal eigenvalues. The eigendecomposition of a symmetric
Eigenvalues_and_eigenvectors
Array of numbers
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)
Matrix_(mathematics)
Generalization of mass, length, area and volume
the circle. Similarly, hyperbolic angle measure is invariant under squeeze mapping. The Haar measure for a locally compact topological group. For example
Measure_(mathematics)
dimension Examples of vector spaces Linear map Shear mapping or Galilean transformation Squeeze mapping or Lorentz transformation Linear subspace Row and
Outline_of_linear_algebra
Repetition of a process
An iteration of nine squeeze mappings applied to a hyperbolic sector
Iteration
Orthogonal group of an indefinite quadratic form
p)} is known as the split orthogonal group. The basic example is the squeeze mappings, which is the group SO + ( 1 , 1 ) {\displaystyle \operatorname {SO}
Indefinite_orthogonal_group
Region of the Cartesian plane bounded by a hyperbola and two radii
has been used to define hyperbolic distance in a geometry textbook. Squeeze mapping Augustus De Morgan (1849) Trigonometry and Double Algebra, Chapter
Hyperbolic_sector
Topics referred to by the same term
dynamical systems Bifurcation, of an incompressible flow, modeled by squeeze mapping the fluid flow River bifurcation, the forking of a river into its distributaries
Bifurcation
Coordinate system in special relativity
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
Light-cone_coordinates
Matrix representing a Euclidean rotation
microprocessors. A rotation can also be written as two shears and a squeeze mapping (an area preserving scaling) (Daubechies & Sweldens 1998): R ( θ )
Rotation_matrix
Euclidean geometry without distance and angles
involves rapidity instead of velocity, and substitutes squeeze mapping for the shear mapping used earlier. This affine geometry was developed synthetically
Affine_geometry
Rational numbers with root 5 added
and determinant − 1 {\displaystyle -1} , are the composition of a squeeze mapping and a vertical reflection. The negative identity matrix − I {\displaystyle
Golden_field
Mathematical term
(invariant under rotation) and hyperbolic angle, with invariance group of squeeze mappings. The slope of a roof, traditionally and commonly called the roof pitch
Slope
Vector satisfying some of the criteria of an eigenvector
spaces Hamel dimension Examples of vector spaces Linear map Shear mapping Squeeze mapping Linear subspace Row and column spaces, Null space Rank–nullity
Generalized_eigenvector
Thermodynamic process in which pressure remains constant
stay constant as the density-temperature quadrant (ρ,T) undergoes a squeeze mapping. The adjective "isobaric" is derived from the Greek words ἴσος (isos)
Isobaric_process
Lie group homomorphism from the real numbers
Alexander Macfarlane had all employed in their writings an equivalent mapping of the Cartesian plane by operator ( cosh a + r sinh a ) {\displaystyle
One-parameter_group
Method for finding limits in calculus
In calculus, the squeeze theorem (also known as the sandwich theorem, the two policeman and a drunk theorem among other names) is a theorem regarding
Squeeze_theorem
Motion of a certain space that preserves at least one point
Minkowski space. Hyperbolic rotations are sometimes described as "squeeze mappings" and frequently appear on Minkowski diagrams that visualize (1 + 1)-dimensional
Rotation_(mathematics)
Type of artificial neural network
(2017) combines the Inception module with ResNet. Squeeze-and-Excitation Networks (2018) added squeeze-and-excitation (SE) modules to ResNet. An SE module
Residual_neural_network
German mathematician
(special relativity) Möbius transformation Spherical wave transformation Squeeze mapping Rindler coordinates Herglotz's variational principle "DigiArchiv of
Gustav_Herglotz
American physical chemist (1875–1946)
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"
Gilbert_N._Lewis
Development of linear transformations forming the Lorentz group
functions and integrals, transformation of indefinite quadratic forms, squeeze mappings of the hyperbola, group theory, Möbius transformations, spherical wave
History of Lorentz transformations
History_of_Lorentz_transformations
Type of photographic technique
change), so objects effectively undergo a squeeze mapping, properly an inhomogeneous squeeze (magnitude of squeeze varies with distance to the camera), hence
Strip_photography
Belgian Jesuit and mathematician (1584–1667)
may be observed as invariance of area of hyperbolic sectors under squeeze mapping. In 1651 Christiaan Huygens published his Theoremata de Quadratura
Grégoire_de_Saint-Vincent
Plane curve: conic section
four-group. The rectangular hyperbolas xy = constant admit group actions by squeeze mappings which have the hyperbolas as invariant sets. The center of a rectangular
Hyperbola
American mathematician
with area of a hyperbolic sector, and showed its invariance under squeeze mapping. Haskell was an Invited Speaker of the International Congress of Mathematicians
Mellen_Woodman_Haskell
Three-dimensional homogeneous flattening of a body
λ {\displaystyle \lambda } is the principal stretch. Simple shear Squeeze mapping Reish, Nathaniel E.; Gary H. Girty. "Definition and Mathematics of
Pure_shear
those provided by Google mapping service. The creation of Tianditu is seen as part of the Chinese government's strategy to squeeze Google out of the China
Tianditu
Mathematical functions of split-complex numbers
{\displaystyle f(z)=uz+c\ } . When c = 0, the function is equivalent to a squeeze mapping. The squaring function has no analogy in ordinary complex arithmetic
Motor_variable
Tomb of Pharaoh Seti I in the Valley of the Kings, Egypt
pieces of Egyptian art, damaged much of the work within the tomb. He made "squeezes", a form of copying artwork by pressing wet wax, plaster and sometimes
Tomb_of_Seti_I
Prime Minister of the United Kingdom from 2019 to 2022
August 2018. Retrieved 30 August 2018. "No 10 denies Boris Johnson 'thigh squeeze' claim". BBC News. 29 September 2019. Archived from the original on 29
Boris_Johnson
American labor leader (born 1968)
15, 2023. "Workers Strike at All 3 Detroit Automakers, a New Tactic to Squeeze Companies for Better Pay". AP News. September 15, 2023. Retrieved September
Shawn_Fain
Country in Eastern Europe and North Asia
2024). "Soaring wages, record-low unemployment underscore Russia's labour squeeze". Reuters. Retrieved 4 August 2024. Russia's unemployment rate dropped
Russia
Expulsion of fluid during orgasm
that (p. 612): Muscular contractions of the vagina following orgasm may squeeze out some of the genital secretions, and in a few cases eject them with
Female_ejaculation
Free online crowdsourced encyclopedia
McDowell & Vetter 2022, pp. 61–62. Goldman, Eric (2010). "Wikipedia's Labor Squeeze and its Consequences". Journal on Telecommunications and High Technology
Wikipedia
Attitudes and behaviors towards sex in ancient Rome
mistress's assets, remarks on "the outline of her nipples, ready to be squeezed." See also the catalogue of Philodemus 12 (Palatine Anthology 5.132); Andrew
Sexuality_in_ancient_Rome
Basic unit of quantum information
offers a straightforward way to present orthogonal states. With a typical mapping | H ⟩ = | 0 ⟩ {\displaystyle {|H\rangle }={|0\rangle }} and | V ⟩ = | 1
Qubit
Bat-and-ball game
runner on third base, aimed at bringing that runner home, is known as a squeeze play. With a runner on third and fewer than two outs, a batter may instead
Baseball
Python distribution
12 February 2024. Claburn, Thomas (8 August 2024). "Anaconda puts the squeeze on data scientists now deemed to be terms-of-service violators". The Register
Anaconda (Python distribution)
Anaconda_(Python_distribution)
Mathematical transform that expresses a function of time as a function of frequency
scaling property of the Fourier transform may be seen as saying: if we squeeze a function in x, its Fourier transform stretches out in ξ. It is not possible
Fourier_transform
1994 film soundtrack albums
under the same title. The film's soundtrack includes songs by World Party, Squeeze, the Knack (a remixed version of "My Sharona" featured prominently in one
Reality_Bites_(soundtrack)
Cohort born from 1946 to 1964
potential of social unrest, though Western governments found themselves squeezed by a combination of falling tax revenue and high state spending. Members
Baby_boomers
American government official and television personality (born 1980)
Burns, Dasha (January 28, 2025). "How Trump's orbit used blunt force to squeeze Hegseth through". Politico. Archived from the original on January 29, 2025
Pete_Hegseth
Point to which functions converge in analysis
infinitesimalsPages displaying short descriptions of redirect targets Squeeze theorem – Method for finding limits in calculus Subsequential limit – Limit
Limit_of_a_function
American robotics company
and i7+, marking new advancements in their smart mapping with their VSLAM-enabled Smart Imprint mapping (also called iAdapt 3.0). Their robots could now
IRobot
Condition in which an author experiences creative slowdown
what it is to stay a whole day with your head in your hands trying to squeeze your unfortunate brain so as to find a word. Ideas come very easily to
Writer's_block
Erosion of the Yorkshire coastline, England
being flooded or overwhelmed by the sea. Another threat, known as "Coastal Squeeze", would mean the loss of many intertidal mudflats which are important to
Coastal_erosion_in_Yorkshire
Historic long-distance highway in the United States
including almost losing their brakes coming down off Donner Pass, barely squeezing across the narrow Lyons-Fulton Bridge over the Mississippi River, and
Lincoln_Highway
Reduction of blood flow to the heart
includes chest tightness, heaviness, pressure, numbness, fullness, or squeezing. Angina that changes in intensity, character, or frequency is termed unstable
Coronary_artery_disease
Online communication software
Discord banned the r/WallStreetBets server during the GameStop short squeeze, citing "hateful and discriminatory content", which users found contentious
Discord
Cycle of frescoes by Michelangelo
König 2013, pp. 45, 52. Owen, Richard (6 January 2007). "Vatican puts a squeeze on visitors". The Times. Archived from the original on 12 May 2007. Retrieved
Sistine_Chapel_ceiling
2018 film
his plane. She does not speak English and only proves her alertness by squeezing his hand. Overgård returns to the wreckage of the downed helicopter and
Arctic_(film)
1985 Soviet space program with the first balloon flight on Venus
transmission rate of 2,048 bit/s, though the system performed data compression to squeeze more information through the narrow bandwidth. Nonetheless, the sampling
Vega_program
First crewed Moon landing (1969)
hatch was opened at 02:39:33. Armstrong initially had some difficulties squeezing through the hatch with his portable life support system (PLSS). Some of
Apollo_11
Tao, Ran; Peculea, Adelina Dumitrescu (1 January 2020). "Do house prices squeeze marriages in China?". Economic Research-Ekonomska Istraživanja. 33 (1):
Demographics_of_China
1981 musical by Andrew Lloyd Webber
design sketches, costume painters in the original Broadway production used squeeze bottles to apply the paint. Due to the amount of dancing in Cats, most
Cats_(musical)
Discontinued line of mobile devices and services
BlackBerry fan". InfoWorld. IDG. Retrieved February 15, 2015. "Android and iOS Squeeze the Competition, Swelling to 96.3% of the Smartphone Operating System Market
BlackBerry
Military occupation by Israel since 1967
tax rate of 55% for people with incomes in the 8,000 dinar bracket was squeezed so that it applied to those earning 5,231 JD. In Israel the 48% tax bracket
Israeli occupation of the West Bank
Israeli_occupation_of_the_West_Bank
Barry, Ellen (19 March 2013). "Local Russian Hijab Ban Puts Muslims in a Squeeze". The New York Times. "The Islamic veil across Europe". BBC News. 31 May
Islamic veiling practices by country
Islamic_veiling_practices_by_country
Abrahamic monotheistic religion
Retrieved 27 December 2017. Bulliet (2005), p. 722 "Are secular forces being squeezed out of Arab Spring?". BBC News. 9 August 2011. Archived from the original
Islam
2 September 2009 Susan Bell and Jonathan Jones Butterfly Technologies (Squeeze with Ease) 75,000 10 Aid for toothpaste tubes Butterfly Technologies' pitch
List of Dragons' Den (British TV programme) offers Series 1-10
List_of_Dragons'_Den_(British_TV_programme)_offers_Series_1-10
Territory in West Asia
of Humanitarian Affairs Archived 3 December 2013 at the Wayback Machine Squeeze them out; As Jewish settlements expand, the Palestinians are being driven
West_Bank
ISBN 978-1-4411-9326-1. Dant; Feldman; Lutters (1990). "Dungeons for Science: Mapping Belief Places and Spaces". arXiv:1904.05216 [cs.CY]. Tessier, Philippe
List of Advanced Dungeons & Dragons 2nd edition monsters
List_of_Advanced_Dungeons_&_Dragons_2nd_edition_monsters
Compact astronomical body
singularity, where an object hitting the singularity would be stretched and squeezed by an infinite amount. They are also null singularities, meaning that a
Black_hole
Additive process used to make a 3D object
greater extent. Additive manufacturing of food is being developed by squeezing out food, layer by layer, into three-dimensional objects. A large variety
3D_printing
2010 oil disaster in the Gulf of Mexico
the well; no cement bond log was run. The technical staff wanted to re-squeeze the well, but Rainey would not accept this recommendation. In March 2010
Deepwater_Horizon_explosion
Military prison near Damascus, Syria
Another former detainee is Samer al-Ahmed, who was regularly forced to squeeze his head through the small hatch near the bottom of his cell door. It was
Sednaya_Prison
Grandin invented the squeeze machine to therapeutically apply deep-touch pressure to herself in 1965. She was inspired by squeeze chutes used with livestock
History_of_autism
Salowey, Joseph A. (2008-11-10). "Transport Layer Security (TLS) Transport Mapping for Syslog". IETF. RFC 5424. Retrieved 2014-05-27. Mosberger, David (20
List of TCP and UDP port numbers
List_of_TCP_and_UDP_port_numbers
Megacity and union territory of India
prayer meetings in Birla House denounced the 'crooked and ungentlemanly' squeezing out of Muslims who left for Pakistan. Despite these exhortations, two-thirds
Delhi
Military campaign in Russia's Kursk Oblast during Russia-Ukraine war
August 2024. Retrieved 6 August 2024. "Putin says Ukraine forces must be squeezed out of Kursk". Ynetnews. 12 August 2024. Archived from the original on
Kursk_campaign
Chinese multinational technology company
September 2021). "'More of China, less of America': how superpower fight is squeezing the Gulf". Financial Times. Archived from the original on 10 December
Huawei
List of definitions of terms and concepts commonly used in agriculture
fruits, sugarcane, or sugar beets, and in particular from trampling and squeezing grapes or olives to extract juice. Marc residues have many uses, including
Glossary_of_agriculture
Autonomous territory in the Middle East
18 October 2009 "In Gaza, prisoners twice over; Palestinians are being squeezed by the Israeli blockade and Hamas' 'Islamizing' actions," Archived 11 May
Gaza_Strip
Rules of East Asian writing systems
that shouldn't start a line from coming first on the next line. Oikomi (Squeeze) Reduce tracking on the first line to pull a character not permitted at
Line breaking rules in East Asian languages
Line_breaking_rules_in_East_Asian_languages
Ability to make choices voluntarily
physical movement entirely unconscious. On that basis "...free will cannot be squeezed into time frames of 150–350 ms; free will is a longer term phenomenon"
Free_will
Deep learning generative model to encode data representation
(although in practice, noise is rarely added during the decoding stage). By mapping a point to a distribution instead of a single point, the network can avoid
Variational_autoencoder
Wildfire in Northern California, US
November 8 were particularly intense through Jarbo Gap, an area where air squeezes through the Feather River Canyon from the northeast. These "Jarbo Gap winds"
Camp_Fire_(2018)
Autoimmune disease resulting in skeletal muscle weakness
Lambert's sign is the unusual improvement of grip strength that follows after squeezing the hand at maximum intensity for 2–3 seconds. Treatment is by medication
Myasthenia_gravis
American carrier-capable multirole strike aircraft
the 41 airframes were airworthy and another two years flying could be "squeezed" from them. Several Nations considered operating the hornet at various
McDonnell Douglas F/A-18 Hornet
McDonnell_Douglas_F/A-18_Hornet
Aspect of relativity in physics
stretches or squeezes) Wavelength: Usually denoted λ, this is the distance along the wave between points of maximum stretch or squeeze. Speed: This is
Gravitational_wave
Sudden movement of the Earth's crust
arriving surface waves do most of the damage compared to P waves. P waves squeeze and expand the material in the same direction they are traveling, whereas
Earthquake
Genus of flowering plants
other citrus and used as rootstock. These estimates are made using genetic mapping of plant chloroplasts. A DNA study published in Nature in 2018 concludes
Citrus
Modulation scheme in telecommunication
single lattice. This set uses 8, 16, or 32 state convolutional codes to squeeze the equivalent of 6 to 10 bits into each symbol the modem sends (for example
Trellis_coded_modulation
SQUEEZE MAPPING
SQUEEZE MAPPING
Female
Hebrew
(מַעֲכָה) Hebrew unisex name MAAKAH means "to press, to squeeze," i.e. "oppression." In the bible this is the name of many characters, including one of King David's wives, and a son of Nahor.
Male
English
Anglicized form of Hebrew unisex Maakah, MAACHAH means "to press, to squeeze," i.e. "oppression." In the bible this is the name of many characters, including one of King David's wives, and a son of Nahor.
SQUEEZE MAPPING
SQUEEZE MAPPING
Boy/Male
Indian
Baby snake
Girl/Female
Hindu, Indian, Marathi
A River
Boy/Male
American, British, English, French, Latin
Head of a Monastery
Boy/Male
Indian, Kannada, Rajasthani, Telugu
Beauty of Life
Boy/Male
French, German, Greek, Italian
Victorious; People's Victory; Conqueror of the People; Victory of the People
Girl/Female
Hindu, Indian, Traditional
A Scholar
Girl/Female
Arabic
Nice
Girl/Female
Latin Hebrew
Girl/Female
Latin
Feminine of the Roman family name Drusus.
Girl/Female
Arabic, Australian, Chinese, Muslim, Sindhi
Height; Exaltation
SQUEEZE MAPPING
SQUEEZE MAPPING
SQUEEZE MAPPING
SQUEEZE MAPPING
SQUEEZE MAPPING
v. t.
To squeeze, compress, crush, or bruise.
n.
Same as Squeeze, n., 2.
n.
A machine of several forms for the same purpose; -- used in the singular.
v. i.
To sneeze.
p. pr. & vb. n.
of Sneeze
imp. & p. p.
of Squeeze
v. t.
To crowd; to squeeze.
v. i.
To enter by pushing; to squeeze in.
v. t.
To force; to squeeze; to press, as by screws.
v. t.
To force, or cause to pass, by compression; often with out, through, etc.; as, to squeeze water through felt.
n.
One who, or that which, squeezes; as, a lemon squeezer.
v.
To squeeze, in order to extract the juice or contents of; to squeeze out, or express, from something.
n.
The act of one who squeezes; compression between bodies; pressure.
a.
To squeeze; to press closely.
p. pr. & vb. n.
of Squeeze
n.
A facsimile impression taken in some soft substance, as pulp, from an inscription on stone.
v. i.
To press; to urge one's way, or to pass, by pressing; to crowd; -- often with through, into, etc.; as, to squeeze hard to get through a crowd.
v. t.
Fig.: To oppress with hardships, burdens, or taxes; to harass; to crush.
imp. & p. p.
of Sneeze
v. t.
To press between two bodies; to press together closely; to compress; often, to compress so as to expel juice, moisture, etc.; as, to squeeze an orange with the fingers; to squeeze the hand in friendship.