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Concept in algebraic geometry
especially in algebraic geometry and the theory of complex manifolds, the adjunction formula relates the canonical bundle of a variety and a hypersurface inside
Adjunction_formula
Concept in algebraic geometry
This formula is one of the most powerful formulas in algebraic geometry. An important tool of modern birational geometry is inversion of adjunction, which
Canonical_bundle
Index of articles associated with the same name
Adjoint functors in category theory Adjunction (field theory) Adjunction formula (algebraic geometry) Adjunction space in topology Conjugate transpose
Adjoint
Theorem in classical algebraic geometry
{1}{2}}(d-1)(d-2)} . The genus–degree formula can be proved from the adjunction formula; for details, see Adjunction formula § Applications to curves. For a
Genus–degree_formula
3d hypersurface of degree 5
polynomial defines a Calabi-Yau requires some more tools, like the Adjunction formula and conditions for smoothness. Recall that a homogeneous polynomial
Quintic_threefold
Property of algebraic varieties and complex manifolds
twisting sheaf O {\displaystyle {\mathcal {O}}} (d), so by the adjunction formula, the canonical line bundle of C is given by K C = [ K P 2 + O ( d
Geometric_genus
Relationship between two functors abstracting many common constructions
equivalence gives an adjunction, though the equivalence itself is not necessarily an adjunction. In many situations, an adjunction can be "upgraded" to
Adjoint_functors
Riemannian manifold with SU(n) holonomy
weighted projective space. The main tool for finding such spaces is the adjunction formula. All hyper-Kähler manifolds are Calabi–Yau manifolds. For an algebraic
Calabi–Yau_manifold
Principle in set theory
and the axiom of adjunction (Tarski 1953, p.34). In fact, in the language of set theory extended with a function symbol for adjunction, the axioms of empty
Axiom_of_adjunction
. 2. An abelian scheme is a (flat) family of abelian varieties. adjunction formula 1. If D is an effective Cartier divisor on an algebraic variety X
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
{\displaystyle p_{g}-1\leq h^{0}(K|_{D}).} Assume that D is smooth. By the adjunction formula D has a canonical linebundle O D ( 2 K ) {\displaystyle {\mathcal
Noether_inequality
field of characteristic zero is uniruled if and only if d ≤ n, by the adjunction formula. (In fact, a smooth hypersurface of degree d ≤ n in Pn is a Fano variety
Ruled_variety
Theorem stating that smooth algebraic curve has minimum genus its homology class
within the complex projective plane, which is a symplectic 4-manifold. Adjunction formula Milnor conjecture (topology) Kronheimer, Peter B.; Mrowka, Tomasz
Thom_conjecture
Theorem in algebraic geometry
{\displaystyle \omega _{X}=O(d_{1}+\cdots +d_{r}-n-1)|_{X},} by the adjunction formula. For example, the dualizing sheaf of a plane curve X of degree d is
Serre_duality
Concept in algebraic geometry
symplectic form). Let D be a smooth codimension-1 subvariety in Pn. The adjunction formula implies that KD = (KX + D)|D = (−(n+1)H + deg(D)H)|D, where H is the
Fano_variety
Algebraic surface defined by a cubic polynomial
the anticanonical line bundle − K X {\displaystyle -K_{X}} , by the adjunction formula.) For any projective variety X, the cone of curves means the convex
Cubic_surface
\Omega _{\mathbb {P} ^{1}}^{1}\cong {\mathcal {O}}(-2)} from the Adjunction formula on the canonical sheaf. Huybrechts 04, Definition 4.B.8 Huybrechts
Stable_vector_bundle
Meromorphic differential form
O_{X}(-D)\otimes L)=0} for all p + q > n {\displaystyle p+q>n} . Adjunction formula Borel–Moore homology Differential of the first kind Log structure
Logarithmic_form
Singularities of algebraic varieties
variety X (so S is an irreducible Cartier divisor in X). Then the adjunction formula says that K S = ( K X + S ) | S {\displaystyle K_{S}=(K_{X}+S)|_{S}}
Canonical_singularity
Generalized residue for several complex variables
Sheaf of logarithmic differential forms normal crossing singularity Adjunction formula#Poincare residue Hodge structure Jacobian ideal Poincaré, H. (1887)
Poincaré_residue
System of mathematical set theory
(x\in z\land \phi (x))].} 3) Axiom of Adjunction: If x and y are sets, then there exists a set w, the adjunction of x and y, whose members are just y and
General_set_theory
One of five systems of modal logic
'modal' formulations of the ontological argument. S5 is equivalent to the adjunction ◊ ⊣ ◻ {\displaystyle \Diamond \dashv \Box } . Leibniz proposed an ontological
S5_(modal_logic)
Duality between the process of restricting and inducting in representation theory
they are actually both left- and right-adjoint to one another. This adjunction gives rise to a universal property for the induced representation (for
Frobenius_reciprocity
American businessman and academic (born 1957)
Market (Wiley, 2005 & 2010) introduced the investment strategy of "magic formula investing", a method for determining which stocks to buy: "cheap and good
Joel_Greenblatt
For a square matrix, the transpose of the cofactor matrix
is a consequence of the Laplace expansion of the determinant. The above formula implies one of the fundamental results in matrix algebra, that A is invertible
Adjugate_matrix
American sociologist (1918–1999)
governments. Beckhard published and popularized David Gleicher's Formula for Change. The formula proposes that the combination of organisational dissatisfaction
Richard_Beckhard
Axioms for the natural numbers
the axiom of adjunction), augmented by an axiom schema stating that a property that holds for the empty set and holds of an adjunction whenever it holds
Peano_axioms
Algebraic topology uses abstract algebra to study topological spaces
property Mapping cylinder Mapping cone (topology) Wedge sum Smash product Adjunction space Cohomotopy Cohomotopy group Brown's representability theorem Eilenberg–MacLane
List of algebraic topology topics
List_of_algebraic_topology_topics
Chemical compound
a potassium salt of L-aspartic acid, an amino acid, with the chemical formula KO2CCH(NH2)CH2CO2H·H2O. It is used as a dietary supplement to treat low
Potassium_aspartate
Australian Formula One designer (born 1971)
Australian motor sports engineer and designer, who held senior positions with Formula One constructors Williams and McLaren. He is currently employed by Supercar
Sam_Michael
Collection of sets in mathematics that can be defined based on a property of its members
classes, so each formula with classes must be reduced syntactically to a formula without classes. For example, one can reduce the formula A = { x ∣ x = x
Class_(set_theory)
Mathematical concept
Zbl 0137.17501. Kollár, János (2007), "Kodaira's canonical bundle formula and adjunction", Flips for 3-folds and 4-folds, Oxford University Press, pp. 134–162
Elliptic_surface
Measure of how heavy or light a petroleum liquid is compared to water
Although API gravity is mathematically a dimensionless quantity (see the formula below), it is referred to as being in 'degrees'. API gravity is graduated
API_gravity
Chemical compound
turning it back into ATP. Creatine also acts as a buffer. It has the nominal formula (H2N)(HN)CN(CH3)CH2CO2H and in solutions, exists in various tautomers,
Creatine
Opposite of Murphy's law
of Murphy's law. ("Yhprum" is "Murphy" spelled backwards.) The simple formula of Yhprum's law is: "Everything that can work, will work." A more specific
Yhprum's_law
Pharmaceutical compound
was previously under development by Kyowa Kirin as a monotherapy and adjunctive to levodopa therapy in Parkinsonism. It reached phase 2 clinical trials
Sipagladenant
Pair of logical equivalences
normal forms: any formula is equivalent to another formula where negations only occur applied to the non-logical atoms of the formula. The existence of
De_Morgan's_laws
Type of electric vehicle
retrieved 4 December 2025 "Formula E Calendar | 2026 Racing Schedule | ABB FIA Formula E World Championship". The Official Home of Formula E. Retrieved 4 December
Battery_electric_vehicle
Country in Eastern Europe and North Asia
"Russia – Sochi". Formula One. Archived from the original on 21 March 2022. Retrieved 31 May 2021. Benson, Andrew (3 March 2022). "Formula 1 terminates contract
Russia
given small category C , {\displaystyle C,} Isbell duality refers to the adjunction O : S e t C o p ⇄ ( S e t C ) o p : S p e c {\displaystyle {\mathcal
Codensity_monad
Luxembourger financial firm
Enstone-based Formula One team from Renault (subsequently renamed from "Renault F1" to "Lotus Renault GP") by Genii Capital three-time Formula One world champion
Genii_Capital
Standard system of axiomatic set theory
as one that could be formulated as a well-formed formula in a first-order logic whose atomic formulas were limited to set membership and identity. They
Zermelo–Fraenkel_set_theory
3-volume treatise on mathematics, 1910–1913
restrictions on formulas that rule out the unrestricted comprehension of classes, properties, and functions. The effect of this is that formulas such as would
Principia_Mathematica
Collection of mathematical objects
elements that satisfy some logical formula. More precisely, if P ( x ) {\displaystyle P(x)} is a logical formula depending on a variable x {\displaystyle
Set_(mathematics)
Atypical antipsychotic
as either monotherapy or adjunctive therapy (with lithium or valproate), and for major depressive disorder as an adjunctive therapy only (with an oral
Lumateperone
Process of extending a representation of a subgroup to the parent group
representation, which is also valid for infinite groups, is equivalent to the adjunction asserted in the reciprocity theorem. If ( σ , V ) {\displaystyle (\sigma
Induced_representation
Chemical compound
Pure sodium aluminate (anhydrous) is a white crystalline solid having a formula variously given as NaAlO2, NaAl(OH)4 (hydrated), Na2O·Al2O3, or Na2Al2O4
Sodium_aluminate
Theory that allows sets to be elements of themselves
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Non-well-founded_set_theory
Canadian quantitative analyst (born 1960s)
original on 2009-04-25. Salmon, Felix (March 2009). "Recipe for Disaster: The Formula That Killed Wall Street". Wired Magazine. 17 (3). Wired. Li, David X. (2000)
David_X._Li
Proof by Alan Turing
shall now show that there is no general method which tells whether a given formula U is provable in K [Principia Mathematica]". Turing followed this proof
Turing's_proof
Chemical compound
derivative which reduces levels of glutathione and is being investigated as an adjunct with chemotherapy in the treatment of cancer. The compound inhibits
Buthionine_sulfoximine
Central object of study in category theory
Ab {\displaystyle {\textbf {Ab}}} !) This is formally the tensor-hom adjunction, and is an archetypal example of a pair of adjoint functors. Natural transformations
Natural_transformation
Type of determiner that indicates quantity
Quantification is also used in logic, where it is a formula constructor that produces new formulas from old ones. Natural languages' determiners have been
Quantifier_(linguistics)
Algebraic structure used in logic
to meet ( ∧ : H × H → H {\displaystyle \wedge :H\times H\to H} ). This adjunction can be written as ( − ∧ Y ) ⊣ ( Y ⇒ − ) {\displaystyle (-\wedge Y)\dashv
Heyting_algebra
Nonsteroidal anti-inflammatory medication
or during breastfeeding is not recommended. Celecoxib has demonstrated adjunctive benefits in major depression and efficacy in reducing polyp recurrence
Celecoxib
Combination of pointed topological spaces
role of the tensor product in this formula: if A , X {\displaystyle A,X} are compact Hausdorff then we have an adjunction M a p s ∗ ( X ∧ A , Y ) ≅ M a p
Smash_product
American futurist and journalist
author and founder and CEO of the Future Today Strategy Group. She is an adjunct assistant professor at New York University's Stern School of Business,
Amy_Webb
Diagram that shows all possible logical relations between a collection of sets
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Venn_diagram
Rate of energy expenditure by an endotherm at rest
Katch–McArdle formula (2006) The Katch–McArdle formula is used to predict resting daily energy expenditure (RDEE). The Cunningham formula is commonly cited
Basal_metabolic_rate
Evaluation of a function on its argument
homological algebra, the adjointness of curry and apply is known as tensor-hom adjunction. In order theory, in the category of complete partial orders endowed with
Function_application
American motorsport executive and official (born 1969 or 1970)
IndyCar. He previously served as the race director for Formula E and as a deputy race director for Formula One. From 2000 to 2004, Elkins served as an engineering
Scot_Elkins
Set of the elements not in a given subset
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Complement_(set_theory)
Weak acid with formula H3BO3
specifically orthoboric acid, is a compound of boron, oxygen, and hydrogen with formula B(OH)3. It may also be called hydrogen orthoborate, trihydroxidoboron or
Boric_acid
System of mathematical set theory
introduces the notion of class, which is a collection of sets defined by a formula whose quantifiers range only over sets. NBG can define classes that are
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Transforming a function in such a way that it only takes a single argument
the relationship between currying and uncurrying is known as tensor-hom adjunction. Here, an interesting twist arises: the Hom functor and the tensor product
Currying
Concept in axiomatic set theory
important axiom of set theory. One instance of the schema is included for each formula φ {\displaystyle \varphi } in the language of set theory with free
Axiom_schema_of_specification
Window manager with non-overlapping frames
manager with the organization of the screen often dependent on mathematical formulas to organise the windows into a non-overlapping frame. This is opposed to
Tiling_window_manager
Anti-diabetic and anti-obesity medication
to the generics from a regulatory perspective. The generic drug pricing formula is based on the number of generics on the market, as agreed to by suppliers
Semaglutide
he finally put all four wavelengths into one equation, i.e., Balmer's formula. JPL · 12755 12757 Yangtze 1993 RY11 Yangtze River in China. It is the
Meanings of minor-planet names: 12001–13000
Meanings_of_minor-planet_names:_12001–13000
Set with algorithmic membership test
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Computable_set
Type of category in category theory
has a terminal object. For each object Y, the counit of the exponential adjunction is a natural transformation e v Y , Z : Z Y × Y → Z {\displaystyle \mathrm
Cartesian_closed_category
Template that specifies one or more axioms
free for a variable in a formula, that a variable occur free in a formula, or that a variable not occur free in a specified formula. Such conditions are part
Axiom_schema
to continue indefinitely, without ever reaching an end or conclusion. adjunction See conjunction introduction. affine logics A subfield of linear logic
Glossary_of_logic
Pharmaceutical compound
applications in the treatment of numerous age-related diseases, as well as an adjunct to treatment for certain forms of cancer. It has the sequence
FOXO4-DRI
Theorem equivalent to the Axiom of Choice
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Tarski's_theorem_about_choice
Mathematical set containing no elements
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Empty_set
Chemical compound
Ascorbic acid is an organic compound with the formula C6H8O6, originally called hexuronic acid. It is a white solid, but impure samples can appear yellowish
Chemistry_of_ascorbic_acid
Set of elements in any of some sets
union can be expressed in terms of intersection and complementation by the formula A ∪ B = ( A ∁ ∩ B ∁ ) ∁ , {\displaystyle A\cup B=(A^{\complement }\cap
Union_(set_theory)
Colourless non-flammable greenhouse gas
nitrous, among others, is a chemical compound, an oxide of nitrogen with the formula N2O. At room temperature, it is a colourless non-flammable gas, and has
Nitrous_oxide
Tetracycline-class antibiotic
infections caused by Clostridium species. Doxycycline is used as an adjunctive therapy for severe acne, acute intestinal amebiasis, and chancroid.
Doxycycline
Psychoactive drug, often called ecstasy
an entheogen to enhance prayer or meditation. MDMA has been used as an adjunct to New Age spiritual practices. MDMA has become widely known as ecstasy
MDMA
Concept in set theory
only for definable surjections, which are identified with their defining formulas. Suppose P {\displaystyle P} is a definable binary relation (which may
Axiom_schema_of_replacement
Injury to flesh or skin, often caused by excessive heat
25% TBSA. The Parkland formula can help determine the volume of intravenous fluids required over the first 24 hours. The formula is based on the affected
Burn
Anxiolytic, sedative, and pain medication
for procedural sedation such as during colonoscopy. It can be used as an adjunct with other sedatives like benzodiazepines, opioids, and propofol to enhance
Dexmedetomidine
Medication used to treat anxiety disorders
(EPA) DTXSID2022707 ECHA InfoCard 100.048.232 Chemical and physical data Formula C21H31N5O2 Molar mass 385.512 g·mol−1 3D model (JSmol) Interactive image
Buspirone
Medication used to treat diabetes
polyendocrine metabolic ovarian syndrome, and is sometimes used as an off-label adjunct to lessen the risk of metabolic syndrome in people who take antipsychotic
Metformin
SSRI antidepressant
(EPA) DTXSID7023067 ECHA InfoCard 100.125.370 Chemical and physical data Formula C17H18F3NO Molar mass 309.332 g·mol−1 3D model (JSmol) Interactive image
Fluoxetine
State of medically-controlled temporary loss of sensation or awareness
medicine. After years of research and experimentation, he finally developed a formula which he named tsūsensan (also known as mafutsu-san), which combined Korean
Anesthesia
Result in mathematics and set theory
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Mostowski_collapse_lemma
System of mathematical set theory
theory (ZFC) and is considerably weaker than it. In its formulation, a Δ0 formula is one all of whose quantifiers are bounded. This means any quantification
Kripke–Platek_set_theory
Medication
(June 2025). "Med Check: FDA Accepts Bysanti Application, Cobenfy Fails as Adjunct, and More". Psychiatric News. 60 (6) appi.pn.2025.06.6.2. doi:10.1176/appi
Milsaperidone
Composition of text by means of arranging physical types or digital equivalents
be composed in a custom LaTeX-inspired markup (SIL) or in XML. Via the adjunction of 3rd-party modules, composition in Markdown or Djot is also possible
Typesetting
Every set is smaller than its power set
v t e Set theory Overview Set (mathematics) Axioms Adjunction Choice countable dependent global Constructibility (V=L) Determinacy projective Extensionality
Cantor's_theorem
Dissociative anesthetic and anti-depressant
those used for anesthesia, usually referred to as sub-anesthetic doses. Adjunctive to morphine or on its own, ketamine reduces morphine use, pain level,
Ketamine
Synthetic cannabinoid
synthetic cannabinoid with therapeutic use as an antiemetic and as an adjunct analgesic for neuropathic pain. It mimics tetrahydrocannabinol (THC) and
Nabilone
Paradox in set theory
Russell's paradox in an axiomatic set theory is disastrous; since if any formula can be proved true it destroys the conventional meaning of truth and falsity
Russell's_paradox
Woman who breastfeeds and cares for another's child
existed in societies around the world until the invention of reliable formula milk in the 20th century. The practice has made a small comeback in the
Wet_nurse
Branch of mathematics that studies sets
rough set theory and fuzzy set theory, in which the value of an atomic formula embodying the membership relation is not simply True or False. The Boolean-valued
Set_theory
Metropolis algorithm in statistical mechanics, derived the Rosenbluth formula in high-energy physics, and laid the foundations for instability theory
List of Jewish atheists and agnostics
List_of_Jewish_atheists_and_agnostics
Christian new religious movement
Christian groups, the Kimbanguists begin and end prayers with the Trinitarian formula. The doctrinal status given by this church to Kimbangu has led to international
Kimbanguism
ADJUNCTION FORMULA
ADJUNCTION FORMULA
Surname or Lastname
English
English : topographic name for someone who lived by a watercourse or road junction, Old English gelǣt, or a habitational name from Leat in Devon, or The Leete in Essex, named with this element.
Boy/Male
Hindu, Indian
King of Enchanting Formulas
ADJUNCTION FORMULA
ADJUNCTION FORMULA
Girl/Female
Hindu, Indian
Beauty; Talent; Love
Female
English
Variant spelling of English Wenona, WENONAH means "firstborn daughter."
Girl/Female
Tamil
Position
Girl/Female
Australian, Spanish
Health
Girl/Female
Arabic, Muslim
Nectar
Boy/Male
Indian, Punjabi, Sikh
Intelligence
Boy/Male
Tamil
Smart
Boy/Male
Australian, Finnish
Joined; Crown; Garland; Attached; Associated
Girl/Female
Indian
Poetess
Male
Egyptian
, a son of King Aahmes I.
ADJUNCTION FORMULA
ADJUNCTION FORMULA
ADJUNCTION FORMULA
ADJUNCTION FORMULA
ADJUNCTION FORMULA
n.
Junction; adaptation
n.
A command; injunction.
n.
One who, or that which, is joined.
n.
The act of adjuring; a solemn charging on oath, or under the penalty of a curse; an earnest appeal.
n.
A uniting; union.
a.
Containing an adjuration.
n.
The action by which the parts of the body are drawn towards its axis]; -- opposed to abduction.
n.
The act or mode of adding; also, the thing added.
n.
The act of joining; the thing joined or added.
n.
A magisterial injunction.
n.
The act of enjoining; the act of directing, commanding, or prohibiting.
n.
The place or point of union, meeting, or junction; specifically, the place where two or more lines of railway meet or cross.
n.
The form of oath or appeal.
n.
Command; precept; injunction.
n.
That which is enjoined; an order; a mandate; a decree; a command; a precept; a direction.
n.
A writ or process, granted by a court of equity, and, insome cases, under statutes, by a court of law,whereby a party is required to do or to refrain from doing certain acts, according to the exigency of the writ.
n.
The act of joining, or the state of being joined; union; combination; coalition; as, the junction of two armies or detachments; the junction of paths.
a.
Joining; having the quality of joining; forming an adjunct.
n.
The act of disjoining, or the state of being disjoined.
adv.
In an adjunctive manner.