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Term in mathematics
In mathematics, an algebraic variety V in projective space is a complete intersection if the ideal of V is generated by exactly codim V elements. That
Complete_intersection
algebra, a complete intersection ring is a commutative ring similar to the coordinate rings of varieties that are complete intersections. Informally
Complete_intersection_ring
Road junction where two or more roads either meet or cross at grade
An intersection or an at-grade junction is a junction where two or more roads converge, diverge, meet or cross at the same height, as opposed to an interchange
Intersection_(road)
scheme, then B is a complete intersection ring. The notion is used, for instance, in an essential way in Fulton's approach to intersection theory. The important
Regular_embedding
Algebraic structure
Any regular local ring is a complete intersection ring, but not conversely. A ring R is a set-theoretic complete intersection if the reduced ring associated
Commutative_ring
Concept in algebraic geometry
) {\displaystyle {\mathcal {O}}_{X}(-n{-}1{+}d)} . For a smooth complete intersection i : X ↪ P S n {\displaystyle i:X\hookrightarrow \mathbb {P} _{S}^{n}}
Adjunction_formula
Construct in algebraic geometry
smoothable complete intersection morphism, this complex is perfect. Furthermore, if g : Y → Z is another smoothable complete intersection morphism and
Cotangent_complex
Set of elements common to all of some sets
In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing
Intersection_(set_theory)
Tool in mathematical dimension theory
hypersurfaces, one after the other. A projective algebraic set is a complete intersection if its defining ideal is generated by a regular sequence. In this
Hilbert series and Hilbert polynomial
Hilbert_series_and_Hilbert_polynomial
Algebraic curve in projective 3-space
projective variety that is not linear or a hypersurface, in fact not a complete intersection. It is the three-dimensional case of the rational normal curve,
Twisted_cubic
Well-behaved sequence in a commutative ring
sense. This is the algebraic analogue of the geometric notion of a complete intersection. Given a commutative ring R and an R-module M, an element r in R
Regular_sequence
\mathbb {Z} /2\to 0} Consider a smooth complete intersection 3-fold X {\displaystyle X} (such as a complete intersection Calabi-Yau 3-fold). If we look at
Atiyah–Hirzebruch spectral sequence
Atiyah–Hirzebruch_spectral_sequence
Riemannian manifold with SU(n) holonomy
An overview of Calabi-Yau Elliptic fibrations Lectures on the Calabi-Yau Landscape Fibrations in CICY Threefolds - (complete intersection Calabi-Yau)
Calabi–Yau_manifold
Concept in algebraic geometry
complete intersections of algebraic hypersurfaces whose sum of degrees is at most the total dimension of the ambient projective space. Such complete intersections
Fano_variety
Graph representing intersections between given sets
an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an intersection graph
Intersection_graph
Traffic intersection
traffic only, above the main conventional roadway intersection. It is known as the Hovenring. Complete streets Direction of traffic History of road transport
Roundabout
Problem in algebraic geometry
algebraic geometry, the problem of residual intersection asks the following: Given a subset Z in the intersection ⋂ i = 1 r X i {\displaystyle \bigcap _{i=1}^{r}X_{i}}
Residual_intersection
Local ring in commutative algebra
Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular local rings A Gorenstein ring is a commutative Noetherian
Gorenstein_ring
Generalized notion of counting curve intersections
In mathematics, and especially in algebraic geometry, the intersection number generalizes the intuitive notion of counting the number of times two curves
Intersection_number
Type of commutative ring in mathematics
Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular local rings For a commutative Noetherian local ring
Cohen–Macaulay_ring
On decreasing nested sequences of non-empty compact sets
Cantor's intersection theorem, also called Cantor's nested intervals theorem, refers to two closely related theorems in general topology and real analysis
Cantor's_intersection_theorem
Enhancing visibility at intersections to improve safety
compliance with existing laws against parking near intersections. Traffic calming Curb extension Complete streets Vision Zero Transportation planning Urban
Intersection_daylighting
At-grade road junction in which cyclists and pedestrians are separated from cars
A protected intersection or protected junction, also known as a Dutch-style junction, is a type of at-grade road junction in which cyclists and pedestrians
Protected_intersection
Type of ring in commutative algebra
Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular local rings There are a number of useful definitions
Regular_local_ring
Theorem in algebraic geometry
_{X}\cong {\mathcal {Ext}}_{O_{Y}}^{r}(O_{X},K_{Y}).} When X is a local complete intersection of codimension r in a smooth scheme Y, there is a more elementary
Serre_duality
Complexity class
NP-complete problems are the hardest of the problems to which solutions can be verified quickly. Somewhat more precisely, a problem is NP-complete when:
NP-completeness
Topological model
The Dimensionally Extended 9-Intersection Model (DE-9IM) is a topological model and a standard used to describe the spatial relations of two regions (two
DE-9IM
curve can be obtained as the intersection of two quadrics. In general abelian varieties are not complete intersections. Computer algebra techniques are
Equations defining abelian varieties
Equations_defining_abelian_varieties
American technology and advertising company
Intersection is a smart cities technology and out-of-home advertising company. It was formed as a result of a merger between Control Group and Titan in
Intersection_(company)
Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular local rings Suppose that A is a Noetherian domain
Catenary_ring
Diagonal intersection is a term used in mathematics, especially in set theory. If δ {\displaystyle \displaystyle \delta } is an ordinal number and ⟨ X
Diagonal_intersection
Type of road intersection with three arms
three-way junction (or three-way intersection) is a type of road intersection with three arms. A Y junction (or Y intersection) generally has three arms of
Three-way_junction
In algebra, expression of an ideal as the intersection of ideals of a specific type
this implies that it is a complete intersection (more precisely, it defines an algebraic set, which is a complete intersection), and thus all primary components
Primary_decomposition
Type of road intersection
vehicles behind a completed turn into the crossroad without any conflict to oncoming traffic. On the crossroad, the four-leg intersection is replaced by
Split_intersection
PSPACE-complete decision problem from the field of automata theory. The problem asks if a list of deterministic finite automata has nonempty intersection. A
Intersection non-emptiness problem
Intersection_non-emptiness_problem
Data type for values having two types
In type theory, an intersection type can be allocated to values that can be assigned both the type σ {\displaystyle \sigma } and the type τ {\displaystyle
Intersection_type
In algebraic geometry, the scheme-theoretic intersection of closed subschemes X, Y of a scheme W is X × W Y {\displaystyle X\times _{W}Y} , the fiber product
Scheme-theoretic_intersection
curve is not a plane curve (since a hyperelliptic curve is never a complete intersection in a projective space). Over the complex numbers, C is a compact
Complete_algebraic_curve
Theorem in geometry
Also, if f : X → Y {\displaystyle f:X\to Y} is a (global) local complete intersection morphism; i.e., it factors as a closed regular embedding X ↪ P {\displaystyle
Riemann–Roch-type_theorem
2021 EP by BDC
The Intersection: Contact (stylized in all caps) is the third extended play by South Korean boy band BDC and the final release from their The Intersection
The_Intersection:_Contact
3 p g − 7. {\displaystyle c_{1}^{2}=3p_{g}-7.} Complete intersections: A smooth complete intersection of hypersurfaces of degrees d 1 ⩾ d 2 ⩾ ⋯ ⩾ d n
Surface_of_general_type
Upper bound on intersecting set families
Grindstaff (2020). Ahlswede, Rudolf; Khachatrian, Levon H. (1997), "The complete intersection theorem for systems of finite sets", European Journal of Combinatorics
Erdős–Ko–Rado_theorem
Scheme in algebraic geometry
} Example: One has that X {\displaystyle X} is a local complete intersection if and only if C X = N X {\displaystyle {\mathfrak {C}}_{X}={\mathfrak
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Algebraic geometry scheme
Cartier and X is Cohen–Macaulay. An algebraic variety with local complete intersection singularities, for example any hypersurface in a smooth variety
Gorenstein_scheme
Fewest cliques covering a graph's edges
In the mathematical field of graph theory, the intersection number of a graph G = ( V , E ) {\displaystyle G=(V,E)} is the smallest number of elements
Intersection number (graph theory)
Intersection_number_(graph_theory)
British-American mathematician (born 1962)
that arose from this approach was also a complete intersection. This ring theoretic result essentially completed the proof of the semistable case of Taniyama-Shimura
Richard Taylor (mathematician)
Richard_Taylor_(mathematician)
Mathematics concept
"Hodge diamond of complete intersections". math.stackexchange.com. Retrieved 2017-03-06. "Cohomology tables for complete intersections". pbelmans.ncag.info
Homological_mirror_symmetry
German mathematician
893. Forster, Otto (1984). "Complete intersections in affine algebraic varieties and Stein spaces". Complete Intersections. Lecture Notes in Mathematics
Otto_Forster
Type of road intersections
offset T-intersection is an at-grade road intersection where a conventional four leg intersection is split into two three-leg T-intersections to reduce
Offset_T-intersection
Theorem in extremal set theory
(2004) Ahlswede, Rudolf; Khachatrian, Levon H. (1996). "The complete nontrivial-intersection theorem for systems of finite sets". Journal of Combinatorial
Ahlswede–Khachatrian_theorem
Objects of certain abelian categories associated to topological spaces
system F {\displaystyle {\mathcal {F}}} . If X is a flat, locally complete intersection (for example, regular) scheme over a henselian discrete valuation
Perverse_sheaf
Graph property
the latter without necessarily having a large automorphism group. The intersection array of a distance-regular graph is the array ( b 0 , b 1 , … , b d
Distance-regular_graph
Type of three-way road intersection
A seagull intersection or continuous green T-intersection (also called a turbo-T (in Florida) or High-T intersection (in Nevada and Utah)) is a type of
Seagull_intersection
3y^{2}-dy)}}\right).} Note that since the left term in the derived intersection is a complete intersection, we can compute a complex representing the derived ring
Derived_scheme
Process in algebraic geometry
Nash blowing-up is locally a monoidal transformation. If X is a complete intersection defined by the vanishing of f 1 , f 2 , … , f n − r {\displaystyle
Nash_blowing-up
Mathematical technique
Eisenbud, David (1980-01-01). "Homological algebra on a complete intersection, with an application to group representations". Transactions of
Matrix factorization of a polynomial
Matrix_factorization_of_a_polynomial
Intersection Capacity Utilization (ICU) method is a tool for measuring a roadway intersection's capacity. It is ideal for transportation planning applications
Intersection capacity utilization
Intersection_capacity_utilization
noetherian, dimension, catenary, Gorenstein. local complete intersection The local rings are complete intersection rings. See also: regular embedding. local uniformization
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Type of smooth complex surface of kodaira dimension 0
\mathbf {P} ^{5}} is a K3 surface of genus 5 (that is, degree 8). The complete intersection of two bihomogeneous forms of bidegrees ( 1 , 2 ) {\displaystyle
K3_surface
Branch of type theory
mathematical logic, the intersection type discipline is a branch of type theory encompassing type systems that use the intersection type constructor ( ∩
Intersection_type_discipline
Romanian-American mathematician
Lawrence; Mustaţǎ, Mircea (2004). "Inversion of adjunction for local complete intersection varieties". American Journal of Mathematics. 126 (6): 1355–1365
Mircea_Mustață
Geometric figure made of 4 points connected by 6 lines
Dually, a complete quadrilateral is a system of four lines, no three of which pass through the same point, and the six points of intersection of these
Complete_quadrangle
Theorem in topology
intersection theorem is a result in general topology that gives a sufficient condition for a nested sequence of sets to have a non-empty intersection
Kuratowski's intersection theorem
Kuratowski's_intersection_theorem
Algebra, a branch of mathematics
Triangulated category Eisenbud, David (1980). "Homological Algebra on a Complete Intersection, with an Application to Group Respresentations" (PDF). Transactions
Matrix factorization (algebra)
Matrix_factorization_(algebra)
Area of discrete mathematics
sets have a nonempty intersection. Each vertex is represented as a set, and every two vertices are connected. Hence, the intersection graph of finite sets
Graph_theory
Algebraic structure
satisfies (ii). Geometrically, we have the following: if X is a local complete intersection in a nonsingular variety; e.g., X itself is nonsingular, then X
Integrally_closed_domain
Theory for associative algebras over rings
Hochschild homology not just for smooth algebras, but also for local complete intersection algebras. In this case, given a presentation A = R / I {\displaystyle
Hochschild_homology
Generalization of a vector bundle
embedding of the normal cone into the normal bundle. Consider the complete intersection ideal ( f , g 1 , g 2 , g 3 ) ⊂ C [ x 0 , … , x n ] {\displaystyle
Cone_(algebraic_geometry)
Russian/American mathematician (born 1949)
Vayntrub. Libgober's early work studies the diffeomorphism type of complete intersections in complex projective space. This later led to the discovery of
Anatoly_Libgober
Road junction
Ratchathewi Intersection (Thai: แยกราชเทวี, RTGS: Yaek Ratchathewi, pronounced [jɛ̂ːk râːt.tʰēː.wiː]) is a four-way intersection of Phaya Thai and Phetchaburi
Ratchathewi_Intersection
Type of roadway junction with one main intersection and two secondary intersections
roadway intersection adds an additional "quadrant roadway" between two legs of an intersection. This roadway adds two three-way intersections in addition
Quadrant_roadway_intersection
Nonexistence of gaps in the number line
that bn − an → 0 as n → +∞. The nested interval theorem states that the intersection of all of the intervals In contains exactly one point. For any ordered
Completeness of the real numbers
Completeness_of_the_real_numbers
Logical connective AND
programming languages, the short-circuit and control structure; In set theory, intersection. In lattice theory, logical conjunction (greatest lower bound). And is
Logical_conjunction
Japanese mathematician (1930–1991)
of a locality which is a complete intersection, 1965 Note on formally projective modules, 1966 On the Flatness of Complete Formally Projective Modules
Satoshi Suzuki (mathematician)
Satoshi_Suzuki_(mathematician)
Type of high capacity intersection
A superstreet is a type of road intersection that is a variation of the Michigan left. In this configuration, in contrast to the Michigan left, traffic
Superstreet
Generalization of a manifold
Philip; Dale, A.M.; Lutken, Andrew; Schimmrigk, Rolf (1988), "Complete intersection Calabi-Yau manifolds", Nuclear Physics B, 298 (3): 493–525, Bibcode:1988NuPhB
Conifold
Highway interchange using loop ramps
extremely rare, though one exists in Toms River, New Jersey. Any other intersection with merely one, two, or three leaf ramps with outer ramps would not
Cloverleaf_interchange
Nullstellensatz Complete variety Elimination theory Gröbner basis Projective variety Quasiprojective variety Canonical bundle Complete intersection Serre duality
List of algebraic geometry topics
List_of_algebraic_geometry_topics
Mathematical term
mathematics, a field K with an absolute value is called spherically complete if the intersection of every decreasing sequence of balls (in the sense of the metric
Spherically_complete_field
Metric geometry
complete metric inducing the given topology. Completely metrizable spaces can be characterized as those spaces that can be written as an intersection
Complete_metric_space
Concept in mathematical logic
In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation
Complete_theory
quadrics that generate the ideal of the curve. The curve is not a complete intersection, for n > 2. That is, it cannot be defined (as a subscheme of projective
Rational_normal_curve
Fewest edge crossings in drawing of a graph
Society). 7: 68–72. Saaty, T.L. (1964). "The minimum number of intersections in complete graphs". Proceedings of the National Academy of Sciences of the
Crossing number (graph theory)
Crossing_number_(graph_theory)
Topics referred to by the same term
configuration of 20 planes and all their 3-fold (or higher) points of intersection (and optionally, depending on your understanding of a configuration,
Complete_icosahedron
This is a list of some of the more commonly known problems that are NP-complete when expressed as decision problems. As there are thousands of such problems
List_of_NP-complete_problems
given by π {\displaystyle \pi } . Let Z be a smooth curve that is a complete intersection of effective Cartier divisors D 1 , … , D n {\displaystyle D_{1}
Segre_class
Type of intersection
Michigan left or P-turn is an at-grade intersection design that replaces each left (farside) turn at an intersection between a (major) divided roadway and
Michigan_left
situation should be emulated for a simple case (such as a smooth complete intersection). Suppose we have a variety X {\displaystyle X} (representing the
Virtual_fundamental_class
ring is a ring that is a coherent module over itself. complete 1. A local complete intersection ring is a Noetherian local ring whose completion is the
Glossary of commutative algebra
Glossary_of_commutative_algebra
Type of road intersection
for the left turn prohibition at the main intersection. As of 2007[update] no agency has designed a complete bowtie road junction. Hamburger
Bowtie_(road)
Partially ordered set in which all subsets have both a supremum and infimum
trivially complete. The power set of a given set when ordered by inclusion. The supremum is given by the union and the infimum by the intersection of subsets
Complete_lattice
Concept in model theory
In model theory, a first-order theory is called model complete if every embedding of its models is an elementary embedding. Equivalently, every first-order
Model_complete_theory
as the intersection graph of congruent spheres. The sphericity of a graph is one of several notions of graph dimension based on intersection graphs;
Sphericity_(graph_theory)
Mazur defined a morphism to be syntomic if it is flat and locally a complete intersection. The syntomic topology is generated by surjective syntomic morphisms
Syntomic_topology
Characteristic of some logical systems
In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can
Completeness_(logic)
Danish mathematician (1947–2014)
Alzheimer's disease on 8 April 2014. Sather-Wagstaff, Keri Ann. "Complete intersection dimensions and Foxby classes" (PDF). Journal of Pure and Applied
Hans-Bjørn_Foxby
Fundamental theorem in mathematical logic
Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability
Gödel's_completeness_theorem
Process in mathematics
after the French mathematician Jean-Louis Koszul. Koszul duality Complete intersection ring Fröberg, R. (1999), "Koszul algebras", Advances in commutative
Koszul_algebra
Spanish mathematician and professor
(Birkhäuser 2007) and co-authored the monograph Gorenstein Liaison, Complete Intersection Liaison Invariants and Unobstructedness (American Mathematical Society
Rosa_M._Miró-Roig
Graph representing a permutation
permutation. Permutation graphs may also be defined geometrically, as the intersection graphs of line segments whose endpoints lie on two parallel lines. Different
Permutation_graph
COMPLETE INTERSECTION
COMPLETE INTERSECTION
Girl/Female
Hindu
Complete
Boy/Male
Indian
Complete
Girl/Female
Tamil
Complete
Girl/Female
Indian
Complete
Boy/Male
Muslim
Complete
Boy/Male
Tamil
Poornan | பூரà¯à®¨à®¾à®¨
Complete
Poornan | பூரà¯à®¨à®¾à®¨
Boy/Male
Muslim
Complete
Girl/Female
Tamil
Complete
Girl/Female
Tamil
Shesha Harani | ஷேஷ ஹரணீÂ
Complete
Shesha Harani | ஷேஷ ஹரணீÂ
Boy/Male
Tamil
Complete
Girl/Female
Indian
Complete
Boy/Male
Indian
Complete
Girl/Female
Muslim
Complete
Girl/Female
Tamil
Complete
Girl/Female
Tamil
Complete
Boy/Male
Tamil
Complete
Girl/Female
Australian, French, Greek
Victory of the People
Boy/Male
Tamil
Complete
Girl/Female
Tamil
Sompurna | ஸோமபà¯à®°à¯à®¨à®¾
Complete
Sompurna | ஸோமபà¯à®°à¯à®¨à®¾
Boy/Male
Muslim
Complete
COMPLETE INTERSECTION
COMPLETE INTERSECTION
Boy/Male
French German
Lion-bold.
Girl/Female
Australian, Christian, Latin, Polish, Portuguese, Spanish
Crowned with Laurels; Praise; The Bay; Laurel Plant; The Laurel Tree; Sweet Bay Tree Symbolic of Honor and Victory
Boy/Male
Hindu, Indian
Arjun; The Son of Kunti
Boy/Male
Indian, Tamil
Lucky Boy
Boy/Male
Indian, Sanskrit
Highly Controlled
Boy/Male
Arabic, Gujarati, Indian, Muslim, Parsi
Fortunate; The Second Mughal Emperor
Surname or Lastname
English and Scottish
English and Scottish : nickname for someone with fair or prematurely white hair, from Middle English whit ‘white’ + heved ‘head’.Irish (Connacht) : erroneous translation of Ó Ceanndubháin ‘descendant of the little black-headed one’ (see Canavan), as if from Gaelic ceann ‘head’ + bán ‘white’.Translated form of German Weisshaupt (see Weishaupt) or Weisskopf (see Weiskopf).
Surname or Lastname
English (southern counties)
English (southern counties) : from Middle English woderson ‘son of the woodman’.
Girl/Female
Hindu
Flowering
Boy/Male
Biblical
Treasurer of Nergal.
COMPLETE INTERSECTION
COMPLETE INTERSECTION
COMPLETE INTERSECTION
COMPLETE INTERSECTION
COMPLETE INTERSECTION
a.
Not complete; not filled up; not finished; not having all its parts, or not having them all adjusted; imperfect; defective.
n.
Complete annulment.
a.
Filled up; with no part or element lacking; free from deficiency; entire; perfect; consummate.
v. t.
To bring to a state in which there is no deficiency; to perfect; to consummate; to accomplish; to fulfill; to finish; as, to complete a task, or a poem; to complete a course of education.
a.
Making complete.
a.
Perfect; complete.
n.
Complete termination.
p. pr. & vb. n.
of Complete
v. i.
To contend emulously; to seek or strive for the same thing, position, or reward for which another is striving; to contend in rivalry, as for a prize or in business; as, tradesmen compete with one another.
n.
A preparation of fruit in sirup in such a manner as to preserve its form, either whole, halved, or quartered; as, a compote of pears.
a.
Finished; ended; concluded; completed; as, the edifice is complete.
a.
Complex, complicated.
adv.
In a complete manner; fully.
imp. & p. p.
of Compete
imp. & p. p.
of Complete
a.
Full; complete.
n.
Composed of two or more parts; composite; not simple; as, a complex being; a complex idea.
adv.
In a whole or complete manner; entirely; completely; perfectly.
a.
Incomplete.
a.
Having all the parts or organs which belong to it or to the typical form; having calyx, corolla, stamens, and pistil.