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In algebraic geometry, a contraction morphism is a surjective projective morphism f : X → Y {\displaystyle f:X\to Y} between normal projective varieties
Contraction_morphism
Constructs the minimal model of a given smooth algebraic surface
C} is isomorphic with Y ∖ P {\displaystyle Y\setminus P} ). This contraction morphism is sometimes called a blowdown, which is the inverse operation of
Castelnuovo's contraction theorem
Castelnuovo's_contraction_theorem
Concept in mathematics
naturally the structure of a locally ringed space; a morphism between algebraic varieties is precisely a morphism of the underlying locally ringed spaces. If X
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Concept in algebraic geometry
_{F}} if and only if [ C ] ∈ F {\displaystyle [C]\in F} . (See also: contraction morphism). Lazarsfeld, R., Positivity in Algebraic Geometry I, Springer-Verlag
Cone_of_curves
spaces, states that a proper morphism of schemes can be factorized as a composition of a finite mapping and a proper morphism with connected fibers. Roughly
Stein_factorization
Word consisting of two words
kind of blend can be deliberate or accidental. A blend is similar to a contraction. On one hand, mainstream blends tend to be formed at a particular historical
Portmanteau
Topics referred to by the same term
scheme, the spectrum of prime ideals of a commutative ring Affine morphism, a morphism of schemes such that the pre-image of an open affine subscheme is
Affine
Concept in algebraic geometry
characteristic zero.) A contraction is called a fibration if dim(Y) < dim(X). A contraction with dim(Y) = dim(X) is automatically a birational morphism. (For example
Nef_line_bundle
Generalization of the concept of category that allows morphisms of multiple arity
{\displaystyle j\in m} , fj is a morphism from ( X i j ) i ∈ n j {\displaystyle (X_{ij})_{i\in n_{j}}} to Yj; and g is a morphism from ( Y j ) j ∈ m {\displaystyle
Multicategory
Algebraic geometry
geometry, a Fano fibration or Fano fiber space, named after Gino Fano, is a morphism of varieties whose general fiber is a Fano variety (in other words has
Fano_fibration
Species of amphibian
channels of nerve cells, leaving the muscles in an inactive state of contraction. This can lead to paralysis, heart fibrillation, heart failure, and death
Golden_poison_frog
Surgery operation in minimal model program
a morphism to Y. If the relative canonical ring is finitely generated (as an algebra over O Y {\displaystyle {\mathcal {O}}_{Y}} ) then the morphism f
Flip_(algebraic_geometry)
Effort to birationally classify algebraic varieties
finding a smooth variety X {\displaystyle X} for which any birational morphism f : X → X ′ {\displaystyle f\colon X\to X'} with a smooth surface X ′ {\displaystyle
Minimal_model_program
Category equipped with a faithful functor to the category of sets
all morphisms of C whose codomain is b (i.e. all morphisms of the form f: a → b for any object a of C), and its morphism part maps each morphism g: b
Concrete_category
Function between metric spaces that does not increase any distance
with Lipschitz constant 1, nonexpansive maps, nonexpanding maps, weak contractions, or short maps. Specifically, suppose that X {\displaystyle X} and Y
Metric_map
Extended physical object in string theory
and noncommutative geometry. The word "brane" originated in 1987 as a contraction of "membrane". A point particle is a 0-brane, of dimension zero; a string
Brane
Type of object in category theory
{\displaystyle e:E\twoheadrightarrow X} and morphism f : P → X {\displaystyle f:P\to X} , there is a morphism f ¯ : P → E {\displaystyle {\overline {f}}:P\to
Projective_object
Species of freshwater fish
intraspecific aggressive behavior, also known as "mouth fighting" due to the contraction of the jaw muscles, and can be understood as a ritualized form of aggression
Kissing_gourami
Species of gastropod
If the animal is disturbed, it unfolds its edges and can swim through contractions and undulations of the body to move away from the disturbing element
Spanish_dancer
System of resource-aware logic
of classical sequent calculus in which uses of (the structural rules) contraction and weakening are carefully controlled. Operationally, this means that
Linear_logic
Continuous surjection satisfying a local triviality condition
{\displaystyle M} and N {\displaystyle N} , respectively. A bundle map or bundle morphism consists of a pair of continuous functions φ : E → F , f : M → N {\displaystyle
Fiber_bundle
Minimal element in the set of prime ideals ordered by inclusion
\mathbb {C} [x,y]/(xy)} since they are the extension of prime ideals for the morphism C [ x , y ] → C [ x , y ] / ( x y ) {\displaystyle \mathbb {C} [x,y]\to
Minimal_prime_ideal
3D printing that changes shape according to certain stimuli
printing (4D printing; also known as 4D bioprinting, active origami, or shape-morphing systems) uses the same techniques of 3D printing through computer-programmed
4D_printing
Species of annelid worm
would struggle to swim for longer times. They swim by the antagonistic contraction of the longitudinal body muscles and the movement of parapodia. The movement
Eulagisca_gigantea
Period of rapid progress in AI
DeepDream is a generative AI that takes inputs from a previous image and morphs them to produce hallucinogenic images. In January 2021, OpenAI released
AI_boom
al., 2012 Spider John McTiernan The generic name Predatoroonops "is a contraction of "Predator Oonops," taken from the science-fiction action movie Predator
List of organisms named after famous people (born 1950–present)
List_of_organisms_named_after_famous_people_(born_1950–present)
2021 film
Lucy that Adrian denies he has a safe in his office. Lucy experiences contractions and goes to Grace to give birth, discovering she is giving birth to the
False_Positive_(film)
Number
came into the English language via French zéro from the Italian zero, a contraction of the Venetian zevero form of Italian zefiro, itself borrowed from Arabic
0
Species of wasp
effectiveness of octopamine, the neurotransmitter that controls muscle contraction in sudden movements. Ampulex dementor, a species of cockroach wasp from
Emerald_cockroach_wasp
Generalizations of codimension-1 subvarieties of algebraic varieties
to have codimension one. This can fail for morphisms which are not flat, for example, for a small contraction. For an integral Noetherian scheme X, the
Divisor_(algebraic_geometry)
Sensory receptor cell responding to mechanical pressure or strain
back of the thigh. By inhibiting the flexor, these interneurons aid contraction of the extensor. Still other branches of the I-a axons synapse with interneurons
Mechanoreceptor
Japanese luxury vehicle brand owned by Toyota
Sales for the first half-year were slower than expected, affected by the contraction of the domestic auto market and price increases, but improved in subsequent
Lexus
Array of numbers
b\end{cases}}.} A 2-morphism between 1-morphisms M , N : A → B {\displaystyle M,N\colon A\to B} is a family of C {\displaystyle {\mathcal {C}}} -morphisms ( f a b
Matrix_(mathematics)
Mathematical operation on vector spaces
{\displaystyle (r,s)} , with r, s > 0, there is a map, called tensor contraction: T s r ( V ) → T s − 1 r − 1 ( V ) . {\displaystyle T_{s}^{r}(V)\to T_{s-1}^{r-1}(V)
Tensor_product
Area of fibrous tissue that replaces normal skin after an injury
bulge area of hair follicles. The fibroblast involved in scarring and contraction is the myofibroblast, which is a specialized contractile fibroblast.
Scar
Warm-blooded animals with wings and feathers
atrioventricular valves which prevent back flow from one chamber to the next during contraction. Being myogenic, the heart's pace is maintained by pacemaker cells found
Bird
2021 Marvel Studios television miniseries
Pulliam-Moore noted that with each new poster, "different elements shift and morph, both reflecting the passage of time and WandaVision's plot developments"
WandaVision
doctrine bipedalism, organism, metabolism, giantism, dwarfism -ismus spasm, contraction Greek -ισμός hemiballismus iso- equal Greek ἴσος (ísos), equal isotonic
List of medical roots and affixes
List_of_medical_roots_and_affixes
Set theory concept
unbounded (see below) relative to the limit ordinal. The name club is a contraction of "closed and unbounded". Formally, if κ {\displaystyle \kappa } is
Club_set
representation introduced by G.Rauzy of the dynamics associated to the Tribonacci morphism: 1 ↦ 12 {\displaystyle 1\mapsto 12} , 2 ↦ 13 {\displaystyle 2\mapsto 13}
List of fractals by Hausdorff dimension
List_of_fractals_by_Hausdorff_dimension
Switching the order of sounds
attended by a contraction of the vowels of root and (derivative) suffix syllables. These statements and the resulting sequences of vowel contraction may be summed
Metathesis_(linguistics)
Operation that pairs a left and a right R-module into an abelian group
N; G) is a functor from the category of abelian groups to itself. The morphism part is given by mapping a group homomorphism g : G → G′ to the function
Tensor_product_of_modules
Mathematical space with a notion of distance
are commonly taken to be the morphisms of the category of metric spaces. A K-Lipschitz map for K < 1 is called a contraction. The Banach fixed-point theorem
Metric_space
martial sphere, they are made monstrous". Mammal, minimal The minimal (a contraction of "miniature animal") is a magically reduced version of a normal animal
List of Advanced Dungeons & Dragons 2nd edition monsters
List_of_Advanced_Dungeons_&_Dragons_2nd_edition_monsters
1991 film by Todd Haynes
of exchanging fluids could also be taken as a direct reference to the contraction of HIV/AIDS. Throughout the film, the body of each of the stories core
Poison_(1991_film)
1 {\displaystyle \leq 1} . 2. A morphism of modules is pseudo-injective if the kernel is pseudo-zero. 3. A morphism of modules is pseudo-surjective if
Glossary of commutative algebra
Glossary_of_commutative_algebra
Concepts in commutative algebra
prime ideal of Bq2 that contracts to the prime ideal p1Ap2 of Ap2. The contraction of this prime ideal of Bq2 to B is a prime ideal q1 of B contained in
Going_up_and_going_down
Isomorphism between the tangent and cotangent bundles of a manifold
smooth map that preserves the point p {\displaystyle p} , it defines a morphism of smooth vector bundles ♭ : T M → T ∗ M {\displaystyle \flat :\mathrm
Musical_isomorphism
without affecting the admissibility of the structural rules (Weakening, Contraction and Cut); In similar terms, coherent theories are “the theories expressible
Geometric_logic
Species of bird
overall significance, the decline is a continuation of trend towards range contraction that has occurred over the last two centuries. The drop in numbers in
Ruff_(bird)
Z} has tangent complex at x ∈ Z {\displaystyle x\in Z} is given by the morphism T x = T x A n → d f x T 0 A m {\displaystyle \mathbf {T} _{x}=T_{x}\mathbb
Derived_scheme
monomorphism A morphism in category theory that is left-cancellable, meaning if two compositions with it are equal, then the other morphisms must be equal
Glossary_of_logic
Hybrid of engineering, cybernetics, and robotics
on the muscles above the limb. The electrodes will detect the muscle contractions and send electrical signals to the prosthetic to move the prosthetic
Biorobotics
Subfield of robotics
current, pressure or temperature). The three basic actuation responses—contraction, expansion, and rotation—can be combined within a single component to
Soft_robotics
Fluctuations in stellar radius
Stellar pulsations are caused by expansions and contractions in the outer layers as a star seeks to maintain equilibrium. These fluctuations in stellar
Stellar_pulsation
2012 American TV series
office having contractions, and tells the story of how she had to escape from Janine. Maggie says they are Braxton-Hicks contractions, but does believe
Resurrection (American TV series)
Resurrection_(American_TV_series)
Special relativity formed using the SO(4,1) symmetry group
the Poincaré group "morphs" into the Galilean group. (This can be made precise with İnönü and Wigner's concept of group contraction.) Similarly, the de
De Sitter invariant special relativity
De_Sitter_invariant_special_relativity
British mathematician and logician
intuitionistic logic led him to discover the contraction-free intuitionistic sequent calculus G4ip in 1992. The contraction rule was known to be problematic for
Roy_Dyckhoff
Large feline of the genus Acinonyx
Revolution after 1979 and the Iran–Iraq War, leading to a significant contraction of the cheetah's historical range in the region. In 1975, the cheetah
Cheetah
Mathematical function, in linear algebra
all vector spaces over a given field K, together with linear maps as morphisms, forms a category. The inverse of a linear map, when defined, is again
Linear_map
The two motor nuclei fire in phase in toadfish, leading to the paired contraction of the sonic muscles. The duration of calls is controlled by the pre-pacemaker
Reproduction and vocalization in midshipman fish
Reproduction_and_vocalization_in_midshipman_fish
Phenomenon of attracting and holding water molecules
coefficient of moisture expansion) or the coefficient of hygroscopic contraction (CHC)—the difference between the two terms being a difference in sign
Hygroscopy
Sensory structures of some jellyfish species
orientation, but help to gauge and control the pace of swimming and muscle contraction. In continuing to increase the breadth and depth of scientific knowledge
Rhopalium
Species of fish
heterogeneous group of genetic disorders that cause muscle weakness, abnormal contractions and muscle wasting, often leading to premature death. Zebrafish is widely
Zebrafish
Species of jellyfish
of its aboral surface; individuals swim vigorously with strong bell contractions. A. limbata have temperature-dependent metabolisms. A. limbata can be
Aurelia_limbata
if a nematic LCE transitions to its isotropic state, it will undergo contraction parallel to its director and expansion in the perpendicular plane. Any
Liquid_crystalline_elastomer
Methods to make single-atom-thick carbon sheets
which in higher temperature processes result from thermal expansion/contraction. Ballistic transport was observed in the resulting material. Tin has
Graphene production techniques
Graphene_production_techniques
Multifaceted crossword puzzle
appears to indicate a possessive in the surface reading, but serves as a contraction for the link word is when read cryptically. In another context "sweetheart"
Cryptic_crossword
James H. Webb, Jr. "Focus on the spot on the wall and breathe over the contractions. This truth's coming out headfirst." March 8 2030 First appearance of
List of The Colbert Report episodes (2005–06)
List_of_The_Colbert_Report_episodes_(2005–06)
Speciation that occurs between geographically isolated populations
alternative model of peripatric speciation concerning expansion and contraction of a species' range. Other minor allopatric models have also been developed
Allopatric_speciation
Species of fish
by the IUCN. Despite its threatened status, strong decline and range contraction, it can be locally fairly common and overall it is the least rare species
Amu_Darya_sturgeon
Genus of flowering plants
DNA-analysis, are summarized in the following tree. Pentadiplandra is the contraction of the Greek words πέντε (pente), meaning "five", διπλόος (diploos),
Pentadiplandra
Method in geometry for representing a polygon by a topological skeleton
method (FEM) mesh generation, the straight skeleton and layer-based contraction concepts have been used to decompose complex geometric domains for hydrodynamic
Straight_skeleton
Order of arthropods (fossil)
location, the appendage would have been impossible to move without muscular contractions moving around the operculum. It would have been kept in place when not
Eurypterid
Extinct species of elephant native to Europe and West Asia
the largest proportionally and in absolute size among proboscideans. Two morphs of P. antiquus were previously thought to exist in Europe on the basis of
Straight-tusked_elephant
the Permian led to collapse of the meridional overturning circulation, contraction of the Hadley cell and intensification of El Niños, causing environmental
2024_in_paleontology
medium was time-biased, it "meant an emphasis on religion, hierarchy, and contraction", if a medium was space-biased, it " meant an emphasis upon the state
Medium_theory
Expression that may be integrated over a region
a linear functional on tangent spaces. From this point of view, ω is a morphism of vector bundles ⋀ k T N → ω N × R , {\displaystyle {\textstyle \bigwedge
Differential_form
Expression
influence. However, it is also possible to interpret the phrase as a contraction of "I hope that you have a nice day". Kerry LePage wrote in his 2004 book
Have_a_nice_day
Government guarantee to provide liquidity to financial institutions
was meant to keep the money supply constant and prevent an economic contraction. Thornton first published An Enquiry into the Nature and Effects of the
Lender_of_last_resort
Categorizations of simultaneous or successive sounds
that intervals when not subject to octave equivalence (at least not by contraction) and correctly reproducing the mathematical ratios of the harmonic series[clarification
Consonance_and_dissonance
GNU GPL License. MontyTokenizer: normalizes punctuation, spacing and contractions, with sensitivity to abbrevs. MontyTagger: Part-of-speech tagging using
MontyLingua
Process in which a language eventually loses its last native speaker
Nancy C. (Ed.). (1989). Investigating obsolescence: Studies in language contraction and death. Studies in the social and cultural foundations of language
Language_death
Animation technique in which frames are hand-drawn
transferred from paper to a thin, clear sheet of plastic called a cel, a contraction of the material name celluloid. (The original flammable cellulose nitrate
Traditional_animation
City and municipality in North Brabant, Netherlands
area has about two million inhabitants. The name may derive from the contraction of the regional words eind (meaning "last" or "end") and hove (or hoeve
Eindhoven
Mass acquisition of low-quality corporate bonds by investors in the late 2010s and 2020
longer the pandemic lasts, the greater the risk that the sharp downturn morphs into a financial crisis with zombie companies starting a chain of defaults
Corporate_debt_bubble
American theoretical biologist
Biophysics 11(1), 177-238, 1987 Brodland, G.W. et al Furrowing surface contraction wave coincident with primary neural induction in amphibian embryos Journal
Richard Gordon (theoretical biologist)
Richard_Gordon_(theoretical_biologist)
Multimedia animation software
multimedia authoring application for MS-DOS and Microsoft Windows. GLPro is a contraction of Graphics Language Professional, and was written by John Bridges as
Graphics Animation System for Professionals
Graphics_Animation_System_for_Professionals
Generalizes showing that two homology theories are isomorphic
class of complexes that are contractible on each object, but where the contractions might not be given by natural transformations. Another example is again
Acyclic_model
Study of the evolutionary basis for animal behavior due to ecological pressures
the female is able to eject the subordinate male's sperm using cloacal contractions. Parental care is the investment a parent puts into their offspring—which
Behavioral_ecology
Psychedelic drug
it was published. Morris has speculated that "diazedine" (notably a contraction of "dimethylazetidine") is extremely likely to have been LSZ, although
LSZ
Mental ability to track moving objects with attention
reporting the location of even a lone object is impaired by growth or contraction of the object, which may contribute to the tracking failure. Overlap
Multiple_object_tracking
Proposed railroad between Chicago and New York City
to Hammond line was abandoned as unprofitable and this was the first contraction. The lines from Gary to Valparaiso and Chesterton went to the Gary and
Chicago – New York Electric Air Line Railroad
Chicago_–_New_York_Electric_Air_Line_Railroad
Body part used by insects to fly
wingstroke. Contraction of the dorsolongitudinal muscles causes the severe arching of the notum which depresses the wing while contraction of the dorsoventral
Insect_wing
Mathematical classification of surfaces
these examples are non-minimal. Ruled surfaces of genus g have a smooth morphism to a curve of genus g whose fibers are lines P1. They are all algebraic
Enriques–Kodaira classification
Enriques–Kodaira_classification
Species of true bug
the epidermis and parenchymatous tissue of the plant, via abdominal contractions. The eggs are ovo-elongate and silvery-white in colour and are approximately
Helopeltis_antonii
Coupling between strain and electric potential
microelectromechanical systems (MEMS), to large morphing structures. Different materials exhibit different amounts of expansion/contraction, with a response that is dependent
Piezoelectrochemical transducer effect
Piezoelectrochemical_transducer_effect
Concept in mathematical set theory
) {\displaystyle f:(X,\rho _{X})\longrightarrow (Y,\rho _{Y})} is a contraction if and only if f : ( X , ν D ρ X ) ⟶ ( Y , ν D ρ Y ) {\displaystyle f:(X
Near_sets
2004 Canadian film
portray realistic motion, which begins with an abrupt twitch for a muscle contraction and must also account for momentum and mass. For example, Landreth stated
Ryan_(film)
Scientific concept
Since this disease is infectious, healthy finches will be in danger of contraction if they are in the vicinity of individuals that have previously developed
Evolutionary_mismatch
CONTRACTION MORPHISM
CONTRACTION MORPHISM
Biblical
who possesses contrition
Biblical
bitter contrition, without judgment
Girl/Female
Tamil
Creation, Construction, Arrangement
Boy/Male
Biblical Hebrew
Contrition, bitter, bruising'.
Girl/Female
Biblical American English Hebrew Latin
Who possesses contrition.
Girl/Female
Biblical
Bitter contrition.
Boy/Male
American, Australian, British, English, French
Record Keeper; Chancellor; Secretary; Contraction of Chancellor
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Creation; Evolution; Construction
Girl/Female
Indian
Built; Construction; Creative Art; All Creation
Biblical
bitter contrition
Girl/Female
Hindu
Light, Beauty, Prosperity, Rank, Power, Steel construction company
Boy/Male
American, Anglo, British, Chinese, Christian, English, French, Latin
Church Official; Chancellor; A Gamble; Good Fortune; Contraction of Chancellor
Girl/Female
Tamil
Creation, Construction, Arrangement
Girl/Female
Hindu
Creation, Construction, Arrangement
Girl/Female
Tamil
Light, Beauty, Prosperity, Rank, Power, Steel construction company
Boy/Male
Biblical
Bitter contrition, without judgment.
Girl/Female
Hindu
Creation, Construction, Arrangement
Boy/Male
American, Australian, Christian, Danish, Dutch, French, German, Swedish, Teutonic
Contraction of Frederick; Peace; Peaceful Ruler
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Sindhi, Tamil, Telugu
Construction; Arrangement; Creative Art; All Creation
Girl/Female
Hindu, Indian, Marathi
Produce; New Construction
CONTRACTION MORPHISM
CONTRACTION MORPHISM
Girl/Female
Tamil
Saudamini | ஸௌதாமிநீ
Lightning
Boy/Male
Sikh
Enjoys cleanliness
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Possible; Born; Manifested; Possibility
Boy/Male
Arabic, Muslim
Slave of the Protector / Guardian (Allah)
Biblical
learning
Female
African
red coral; or, a pearl.
Girl/Female
Gaelic Arthurian Legend Irish
Grace.
Girl/Female
Hindu, Indian
Happiness
Boy/Male
Indian
Obeyed, Pure or like a Pearl
Girl/Female
Russian
True.
CONTRACTION MORPHISM
CONTRACTION MORPHISM
CONTRACTION MORPHISM
CONTRACTION MORPHISM
CONTRACTION MORPHISM
a.
Capable of contraction.
a.
tending to contract; having the power or property of contracting, or of shrinking into shorter or smaller dimensions; as, the contractile tissues.
n.
The act or process of contracting, shortening, or shrinking; the state of being contracted; as, contraction of the heart, of the pupil of the eye, or of a tendion; the contraction produced by cold.
n.
Peristaltic contraction or action.
a.
Of or pertaining to systole, or contraction; contracting; esp., relating to the systole of the heart; as, systolic murmur.
n.
A contraction for Violoncello.
n.
A contraction of Sophomore.
n.
Something contracted or abbreviated, as a word or phrase; -- as, plenipo for plenipotentiary; crim. con. for criminal conversation, etc.
n.
Contradiction.
prep.
A contraction of Against.
n.
The act of incurring or becoming subject to, as liabilities, obligation, debts, etc.; the process of becoming subject to; as, the contraction of a disease.
n.
The shortening of a word, or of two words, by the omission of a letter or letters, or by reducing two or more vowels or syllables to one; as, ne'er for never; can't for can not; don't for do not; it's for it is.
adv.
a contraction of Never.
n.
A contraction of cousin.
a.
Tending to contract; having the property or power or power of contracting.
n.
The process of shortening an operation.
n.
Constriction or contraction of some natural passage, as in constipation from inflammation.
n.
A marriage contract.
n.
A contraction of Photograph.