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Computational problem in graph theory
combinatorial optimization, a closure of a directed graph is a set of vertices C, such that no edges leave C. The closure problem is the task of finding the
Closure_problem
Directed graph with no directed cycles
transitive closure. The closure problem takes as input a vertex-weighted directed acyclic graph and seeks the minimum (or maximum) weight of a closure – a set
Directed_acyclic_graph
Problem in topology
Kuratowski's closure-complement problem asks for the largest number of distinct sets obtainable by repeatedly applying the set operations of closure and complement
Kuratowski's closure-complement problem
Kuratowski's_closure-complement_problem
Use of mathematical models to simulate turbulent flow
part of the velocity. This is the closure problem. Joseph Valentin Boussinesq was the first to attack the closure problem, by introducing the concept of
Turbulence_modeling
Computational problem in graph theory
such that no edges leave C. The closure problem is the task of finding the maximum-weight or minimum-weight closure in a vertex-weighted directed graph
Maximum_flow_problem
Technique for creating lexically scoped first class functions
In programming languages, a closure, also lexical closure or function closure, is a technique for implementing lexically scoped name binding in a language
Closure (computer programming)
Closure_(computer_programming)
Smallest transitive relation containing a given binary relation
In mathematics, the transitive closure R+ of a homogeneous binary relation R on a set X is the smallest relation on X that contains R and is transitive
Transitive_closure
Conjecture on zeros of the zeta function
C. R. Acad. Sci. Paris, 158: 1979–1981 Beurling, Arne (1955), "A closure problem related to the Riemann zeta-function", Proceedings of the National
Riemann_hypothesis
Subfield of mathematical optimization
the class of NPO problems that are polynomially-bounded. Assignment problem Bin packing problem Chinese postman problem Closure problem Constraint satisfaction
Combinatorial_optimization
Psychological term for one's need for an answer to something
to a question or problem to avert ambiguity. The term "need" denotes a motivated tendency to seek out information. The need for closure is the motivation
Closure_(psychology)
Vertex partition in a directed graph
with no edges that exit the subset, is called a closure. The closure problem is the algorithmic problem of finding a dicut, in an edge-weighted directed
Dicut
Inherent limitations of the human mind
cognitive closure is the view that human cognitive faculties are fundamentally incapable of solving certain philosophical problems. These problems, which
Cognitive closure (philosophy)
Cognitive_closure_(philosophy)
Programming language implementation problem
references or to create closures. There are two subtly different versions of the funarg problem. The upwards funarg problem arises from returning (or
Funarg_problem
Algebra whose elements are stable matchings
set of rotations. This optimal lower set problem is equivalent to an instance of the closure problem, a problem on vertex-weighted directed graphs in which
Lattice_of_stable_matchings
algorithm Closure problem Generalized assignment problem Linear bottleneck assignment problem Quadratic assignment problem Stable marriage problem Andersen
Weapon-target assignment problem
Weapon-target_assignment_problem
Axioms for defining a topology
algebra – Algebraic structure Kuratowski's closure-complement problem – Problem in topology Preclosure operator – Closure operator Pretopological space – Generalized
Kuratowski_closure_axioms
Surface mining technique
mining – Independent, small-scale, subsistence mining Closure problem – Computational problem in graph theory applied to open-pit mines for optimal extraction
Open-pit_mining
Road protection structure
mountainous areas where rock slides and land slides create highway closure problems. A rock shed is built over a roadway that is in the path of the slide
Rock_shed
Differential equation
function of A. The detection of the best suited function is known as closure problem. D and W are respectively the symmetric and antisymmetric part of the
Folgar-Tucker_Model
Mathematical conjecture
In mathematics, the André–Oort conjecture is a problem in Diophantine geometry, a branch of number theory, that can be seen as a non-abelian analogue
André–Oort_conjecture
Thought experiment in philosophy
against forms of physicalism and in defense of the hard problem of consciousness, which is the problem of accounting in physical terms for subjective, intrinsic
Philosophical_zombie
Geometric problems involving the partition of a figure
circle-squaring problem, the pieces are typically required to be well-behaved. For instance, they may be restricted to being the closures of disjoint open
Dissection_problem
Geopolitical and economic crisis
mariners and 2,000 ships were stranded in the Persian Gulf due to the closure. Amid fears of prolonged supply shortages, oil prices rose faster than
2026_Strait_of_Hormuz_crisis
Philosophical problem about what constitutes knowledge
In the field of epistemology, the Gettier problem is a landmark philosophical problem concerning the understanding of descriptive knowledge. Attributed
Gettier_problem
Book by Barbara Herrnstein Smith
topics: Formal Structure Thematic Structure Special Terminal Features Problems of Closure Herrnstein Smith observes that regularity — such as the regular repetition
Poetic_Closure
Principle in epistemology
Epistemic closure is a property of some belief systems and of many epistemic modal logics (viz. those which are "normal"). It is the principle that if
Epistemic_closure
Concept in fluid mechanics
interest, for roughly the past century. The problem is recognized as a closure problem, akin to the problem of closure in the BBGKY hierarchy. A transport equation
Reynolds_stress
Theory of perception
circle. That tendency to complete shapes and figures is called closure. The law of closure states that individuals perceive objects such as shapes, letters
Gestalt_psychology
Philosophical problem
In philosophy of mind, the hard problem of consciousness (or simply the hard problem) is to explain how and why organisms have qualia, phenomenal consciousness
Hard_problem_of_consciousness
Fluid transport regime by random walk
model must also have a random component cj= c+ cj’. This results in a closure problem of infinite variables and equations and makes it impossible to solve
Turbulent_diffusion
Geographical theory of spatial distribution of cities
sound and consistent solutions, based on a K=3, 37-centre CP system: Closure problem. Christaller's original scheme implies an infinite landscape. Although
Central_place_theory
Problem of determining if a Boolean formula could be made true
computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT)
Boolean satisfiability problem
Boolean_satisfiability_problem
Smallest convex set containing a given set
a closure operator, and every antimatroid can be represented by applying this closure operator to finite sets of points. The algorithmic problems of
Convex_hull
Means for fastening a garment at the rear
A back closure is a means for fastening a garment at the rear, such as with a zipper, hooks-and-eyes or buttons. Back closures were once common on Western
Back_closure
directed graph Transitive closure problem: find the transitive closure of a given binary relation Traveling salesman problem Christofides algorithm Nearest
List_of_algorithms
Public baths in Newcastle, NSW, Australia
Australia. Opened in 1888, ongoing financial and hygiene problems resulted in the closure of the baths in 1906. The baths provided a place for the public
Newcomen Street Corporation Baths
Newcomen_Street_Corporation_Baths
Defunct deepfake pornography website
2025. It became one of the biggest websites in this category before its closure in May 2025 following an investigative journalism operation by multiple
MrDeepFakes
Restriction of an occupation to only qualified practitioners
In sociology, an occupational closure (or professional demarcation) is the process whereby a trade or occupation (vocation) transforms itself, or tries
Occupational_closure
On short connecting nets with added points
solving the all-pairs shortest paths problem to compute the metric closure, then by solving the minimum spanning tree problem. Another popular algorithm to approximate
Steiner_tree_problem
vertices outside the closure. For instance, a sink is a one-vertex closure. The closure problem is the problem of finding a closure of minimum or maximum
Glossary_of_graph_theory
American animated television series
The Problem Solverz is an American animated television series created by Ben Jones for Cartoon Network. It follows Alfe, Roba, and Horace; a group of
The_Problem_Solverz
Interpretation of sensory information
overlapping objects based on their visual texture and resemblance. Closure: the principle of closure refers to the mind's tendency to see complete figures or forms
Perception
Ability to make choices voluntarily
law arises when either causal closure or physical determinism (nomological determinism) is asserted. With causal closure, no physical event has a cause
Free_will
Class of computational complexity
is the set of problems expressible in second-order logic with the addition of a transitive closure operator. A full transitive closure is not needed;
PSPACE
Theorem of 2D geometry
In geometry, Poncelet's closure theorem, also known as Poncelet's porism, states that whenever a polygon is inscribed in one conic section and circumscribes
Poncelet's_closure_theorem
Expression of polynomials as sum of squares
Hilbert's seventeenth problem is one of the 23 of Hilbert's problems set out in a celebrated list compiled in 1900 by David Hilbert. It concerns the expression
Hilbert's_seventeenth_problem
Extends the Jordan curve theorem to characterize the inner and outer regions
In mathematics, the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies
Schoenflies_problem
Programming language feature
into the same problem and this is the reason they are not supported in C. When returning a function, we are in fact returning its closure. In the C example
First-class_function
On solvability of Diophantine equations
problem for equations over the rationals remains open. Barry Mazur has conjectured that for any variety over the rationals, the topological closure over
Hilbert's_tenth_problem
American financial services company
after 14 days from account closure. The $3.25 million penalty was paid to the CFPB victims relief fund. Chime blamed the problem on a "configuration error"
Chime_(company)
Planar maps require at most four colors
respective closures have a common point that is not a corner of the map. A point is a corner of a map if and only if it belongs to the closures of at least
Four_color_theorem
Alternative methods for wine closure
Alternative wine closures are substitute closures used in the wine industry for sealing wine bottles in place of traditional cork closures. The emergence
Alternative_wine_closure
Japanese isolationist policy from 1633–1853
eager to take over trade from both the Spanish and Portuguese, had no problems reinforcing this view. The number of Christians in Japan had been steadily
Sakoku
Timing closure in VLSI design and electronics engineering is the iterative design process of assuring all signals satisfy the timing requirements in a
Timing_closure
Stage of VLSI semiconductor design workflow
Design Closure is a part of the digital electronic design automation workflow by which an integrated circuit (i.e. VLSI) design is modified from its initial
Design_closure
Philosophical idea of things impossible to know
paradox of knowability, the problem of unconceived alternatives advanced by Kyle Stanford, and the thesis of cognitive closure. Todd Hylton at the Electrical
Unknowability
Path in a graph that visits each vertex exactly once
is Hamiltonian if and only if its closure is Hamiltonian. As complete graphs are Hamiltonian, all graphs whose closure is complete are Hamiltonian, which
Hamiltonian_path
Concept in mathematics
particularly to phase transitions in matter, a Stefan problem is a particular kind of boundary value problem for a system of partial differential equations (PDE)
Stefan_problem
Generalised alphabetical order
reverse the order for comparing negative numbers. This is not usually a problem for humans, but it may be for computers (testing the sign takes some time)
Lexicographic_order
College near Springfield, Kentucky
program was taken on by Sterling College in Vermont. After the college's closure, the campus remained vacant until it was acquired by Addiction Recovery
St._Catharine_College
Wingsuit flying carried out in proximity to a powered aircraft
PZL-104 Wilga (Draco Version) Dornier Do 28 Aerial refueling – analogous closure problems Ossio, Daniel (26 September 2021). "Airplane Wingsuit Formation (AWF)"
Airplane_wingsuit_formation
Ancient Egyptian tomb
best preserved and most eloquent decorations of any Egyptian burial site. Closure of the tomb was due to large areas of paint and plaster strata deteriorating
Tomb_of_Nefertari
2012 film by Michael Sucsy
1980. This was Spyglass Entertainment's last film before the company's closure in 2012 and its revival in 2019. Paige Collins and her husband Leo come
The_Vow_(2012_film)
Set-to-real map with diminishing returns
Recently, submodular functions have also found utility in several real world problems in machine learning and artificial intelligence, including automatic summarization
Submodular_set_function
Open question in philosophy of how abstract minds interact with physical bodies
The mind–body problem is a philosophical problem concerning the relationship between thought and consciousness in the human mind and body. It addresses
Mind–body_problem
Construct all metric spaces where lines resemble those on a sphere
In mathematics, Hilbert's fourth problem in the 1900 list of Hilbert's problems is a foundational question in geometry. In one statement derived from the
Hilbert's_fourth_problem
Computational navigational technique used by robots and autonomous vehicles
itself. Loop closure is the problem of recognizing a previously-visited location and updating beliefs accordingly. This can be a problem because model
Simultaneous localization and mapping
Simultaneous_localization_and_mapping
German mathematician (1862–1943)
unsuitably open-ended to come to closure. Some continue to remain challenges. The following are the headers for Hilbert's 23 problems as they appeared in the 1902
David_Hilbert
Algebraic variety
the problem of parameterizing the equations with given Galois group, which she reduced to "Noether's problem". (She first mentioned this problem in (Noether
Rational_variety
Act of the Parliament of the United Kingdom
Issuing a closure notice is usually the first resort to dealing with a problem. Closure notices can be issued if either nuisance or disorder has, or may occur
Anti-social Behaviour, Crime and Policing Act 2014
Anti-social_Behaviour,_Crime_and_Policing_Act_2014
Graph made from disjoint union of complete graphs
W. F.; Noshita, K. (1986), "On the number of edges in the transitive closure of a graph", Discrete Applied Mathematics, 15 (1): 67–73, doi:10
Cluster_graph
Checking software against expectations
software testing employs principles and mechanisms that might recognize a problem. Examples of oracles include specifications, contracts, comparable products
Software_testing
Principle in mathematical optimization
optimization problems may be viewed from either of two perspectives, the primal problem or the dual problem. If the primal is a minimization problem then the
Duality_(optimization)
American and French mathematician
together). In 1970, he published one of the earliest papers on the closure problem and its applications to transportation planning. Balinski has made
Michel_Balinski
weight stable matching. Alternative methods for the same problem include applying the closure problem to a partially ordered set derived from the lattice of
Stable_matching_polytope
Prussian field gun
of a C64. Side view of the closure of a C64 Section through the closure of a double wedge C64 Section through the closure of a double wedge C64/67 7.7
C64_(field_gun)
New Zealand prediction market
accounts, as the customers' identities are not verified." Subsequent to the closure notice date, no new funds or traders were allowed onto the iPredict site
IPredict
Environmental rehabilitation of the Philippine resort island
island. As part of the closure, Boracay was closed for six months except to its registered residents and employees. The closure had a significant effect
2018 Boracay closure and redevelopment
2018_Boracay_closure_and_redevelopment
Defunct German nightclub located in Frankfurt Airport
to continuing problems in securing fire safety certification from the airport inspectorate. The last record that was played on the closure was "Lovin' You"
Dorian_Gray_(club)
Mental process of problem solving
Creative problem-solving is the mental process of searching for an original and previously unknown solution to a problem. To qualify, the solution must
Creative_problem-solving
1997 film by Gus Van Sant
Billy and Morgan. At work, he anonymously solves a complex mathematical problem posted on a blackboard by Professor Gerald Lambeau as a challenge for his
Good_Will_Hunting
In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can
Inverse problem for Lagrangian mechanics
Inverse_problem_for_Lagrangian_mechanics
Partial differential equations with data on two intersecting characteristics
The Goursat problem (also called the Darboux problem) is a boundary value problem for a second-order hyperbolic partial differential equation (PDE) in
Goursat_problem
Hypothesis that reality could be a computer simulation
implements the right computational structures and processes (see Hard problem of consciousness). Variations on the idea have also been featured in science
Simulation_hypothesis
American video game developer (2004–2018)
Latest on the Telltale Games Closure". Handradan, Matthew (September 24, 2018). "Telltale's treatment of staff "a problem endemic in the industry"". GamesIndustry
Telltale_Games
P. (2005, March). Inverse Kinematics in Biology: The Protein Loop Closure Problem. The International Journal of Robotics Research 24(2-3), 151-163. Simons
Protein_fragment_library
American bank robber
moved to other facilities. This closure was primarily due to the facility's high operational costs and structural problems, but was hastened by the escape
John_Paul_Scott
Partially unsolved problem in mathematics
known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded operator on a complex Banach
Invariant_subspace_problem
Former science museum in Irvine, Scotland
early 2003, after failing to attract sufficient visitor numbers. Since its closure, it has remained relatively untouched due to its isolated location and
The_Big_Idea_(museum)
American retailing company
2005, Kmart and Sears merged to form Sears Holdings Corporation. Store closures continued gradually until Sears Holdings Corporation filed for bankruptcy
Kmart
Nightclub and Chinese restaurant in Hollywood, Los Angeles
1985. It was one of the last remaining punk venues at the time of its closure. Violent Psychosis, The Mentors with El Duce, and Circle Jerks performed
Cathay_de_Grande
Former UK digital television channel
Derek Acorah; these programmes have not been shown on TV since Breeze's closure. In 1999, This Morning's resident chef Susan Brookes hosted Susan Brookes'
Granada_Breeze
Genetic disorder caused by a mutation of chromosome 15
limited to no functional speech, balance and movement problems, seizures, hyperactivity, and sleep problems. Physical symptoms include a small head and a specific
Angelman_syndrome
List of statements that appear to contradict themselves
of reasoning. These paradoxes, often called antinomy, point out genuine problems in our understanding of the ideas of truth and description. Barbershop
List_of_paradoxes
8th episode of the 1st season of 3 Body Problem
season finale of the American science fiction television series 3 Body Problem, based on the Chinese novel series Remembrance of Earth's Past by Liu Cixin
Wallfacer
Demolished shopping mall in Florissant, Missouri, United States
later restored. The mall's closure was announced on Thanksgiving Eve in November 2013 due to the heat being shut off. The closure of the Macy's store was
Jamestown_Mall
Main bus station of Tel Aviv
Local Affairs issued a closure order for the Tel Aviv New Central Bus Station from December 2021. Due to zoning issues, the closure has since been delayed
Tel_Aviv_central_bus_station
Canadian toy store chain
Arrangement Act (CCAA) with numerous creditors owed, alongside significant store closures occurring beforehand. It was announced that the chain is seeking permission
Toys_"R"_Us_Canada
Architectural structure in Highland, Scotland
company owed £2m. The closure of the Cairngorm Mountain Railway funicular was due to "health and safety concerns" and "structural problems" according to reports
Cairngorm_Mountain_Railway
Country in West Asia
traditional religious and social norms in the country (for example, the closure of cinemas) and to give the ulema a greater role in government. Neither
Saudi_Arabia
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