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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
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
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)
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Philosophical problem about why neural processes give rise to inner experience at all
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
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
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
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
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
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
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
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
directed graph Transitive closure problem: find the transitive closure of a given binary relation Traveling salesman problem Christofides algorithm Nearest
List_of_algorithms
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
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
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
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
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
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
Path in a graph that visits each vertex exactly once
The computational problems of determining whether such paths and cycles exist in graphs are NP-complete; see Hamiltonian path problem for details. Hamiltonian
Hamiltonian_path
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 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)
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
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
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
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
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
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
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
Equations of motion for viscous fluids
interest to pure mathematics. The Navier–Stokes existence and smoothness problem concerns whether they have smooth (meaning infinitely differentiable) or
Navier–Stokes_equations
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
Design principle preferring simplicity
Animation: The Illusion of Life, a considerable work of the genre. The problem faced is that inexperienced animators may "over-animate" in their works;
KISS_principle
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
Isolationist policy of Japan (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
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
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 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
Model to describe physical and thermodynamical processes in oceans
equation. We can show that by Reynolds approach, which will leads to the closure problem. That means new variables arise at each level in the Reynolds averaging
Ocean general circulation model
Ocean_general_circulation_model
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
named after Évariste Galois (1811–1832), a French mathematician. Galois closure Galois cohomology Galois connection Galois correspondence Galois/Counter
List of things named after Évariste Galois
List_of_things_named_after_Évariste_Galois
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
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)
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)
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
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
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
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
Plan for the construction of an object or system
two dominant but different views of the design process: as a rational problem-solving process and as a process of reflection-in-action. They suggested
Design
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
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
2013–2014 New Jersey political scandal
The Fort Lee lane closure scandal, better known as Bridgegate, was a political scandal in the U.S. state of New Jersey in 2013 and 2014. It involved a
Fort_Lee_lane_closure_scandal
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
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
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)
Kuratowski's theorem Kuratowski closure axioms Kuratowski convergence Kuratowski–Zorn lemma Kuratowski's closure-complement problem Kuratowski's intersection
List of things named after Kazimierz Kuratowski
List_of_things_named_after_Kazimierz_Kuratowski
Theory in the philosophy of mind
of the "pairing problem", a point raised by the philosopher Jaegwon Kim that Amy Kind also mentions in her book. The pairing problem objects the Cartesian
Interactionism (philosophy of mind)
Interactionism_(philosophy_of_mind)
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
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
Hypothesis that reality could be a computer simulation
their ancestors, and so on, creating an infinite regress akin to the "problem of the First Cause". In 2019, philosopher Preston Greene suggested that
Simulation_hypothesis
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)
Building
primary health care facility of the City of Detroit from its founding to closure. During its 75 years, it treated the poorest citizens of the city. For
Herman_Kiefer_Hospital
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
Generalized 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
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
Premier of British Columbia since 2022
as the province's long-critical forestry sector faced curtailments and closures of sawmills, Eby announced a new focus on value-added lumber products,
David_Eby
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
Road in Oxford, England
early 19th century it was little more than a track and highwaymen were a problem. The road passes Osney. Out-of-town retail stores line the route. The road
Botley_Road
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
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
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
Defunct bridge in Boston harbor
hospital serving 1,200 chronically ill patients. After the hospital's closure, in 1983, the bridge provided access to other city facilities on the island
Long_Island_Bridge
English playwright and poet (1564–1616)
closed during extended outbreaks of the plague (a total of over 60 months closure between May 1603 and February 1610), which meant there was often no acting
William_Shakespeare
Ongoing military and political conflict in West Asia
officially justifies closure as a security measure despite the fact that the Israeli security establishment itself has stated that closure is of limited value
Israeli–Palestinian_conflict
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
Mechanisms of overcoming risky behaviors
rigid thinking, including dogmatism, a strong desire for psychological closure (e.g., needing an explanation for why something bad happened, even when
Rigidity_(psychology)
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
to provide a more vertical vector of platysma movement and suspension. Closure after a platysmaplasty is performed using a layered, tension-free technique
Platysmaplasty
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
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