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Find link is a tool written by Edward Betts.Longer titles found: Sperner property of a partially ordered set (view)
searching for Partially ordered set 35 found (281 total)
alternate case: partially ordered set
Inductive set
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Bourbaki also defines an inductive set to be a partially ordered set that satisfies the hypothesis of Zorn's lemma when nonempty. In descriptive set theoryHierarchical task network (626 words) [view diff] exact match in snippet view article find links to article
its precondition. A compound task is a complex task composed of a partially ordered set of further tasks, which can either be primitive or abstract. A goalDeviation of a poset (553 words) [view diff] exact match in snippet view article find links to article
measuring the complexity of a poset. A poset is also known as a partially ordered set. The deviation of a poset is used to define the Krull dimensionHausdorff gap (634 words) [view diff] exact match in snippet view article find links to article
Hausdorff (1909). The existence of Hausdorff gaps shows that the partially ordered set of possible growth rates of sequences is not complete. Let ωω{\displaystyleAxiom of choice (7,954 words) [view diff] exact match in snippet view article find links to article
Hausdorff maximal principle: Every partially ordered set has a maximal chain. Equivalently, in any partially ordered set, every chain can be extended toDickson's lemma (1,166 words) [view diff] exact match in snippet view article find links to article
x_{i}\leq x_{j}} holds with respect to the pointwise order. The partially ordered set ( N n , ≤ ) {\displaystyle (\mathbb {N} ^{n},\leq )} does not containNerve (category theory) (1,379 words) [view diff] exact match in snippet view article
totally ordered finite sets and order-preserving morphisms. Every partially ordered set P yields a (small) category i(P) with objects the elements of PTopological sorting (3,176 words) [view diff] exact match in snippet view article find links to article
concept of a linear extension of a partial order in mathematics. A partially ordered set is just a set of objects together with a definition of the "≤" inequalityVertex figure (1,436 words) [view diff] no match in snippet view article find links to article
(e.g. Skilling, 1975) treat a vertex figure as the ordered (or partially ordered) set of points of all the neighboring (connected via an edge) verticesSubset (1,631 words) [view diff] exact match in snippet view article find links to article
Inclusion is the canonical partial order, in the sense that every partially ordered set ( X , ⪯ ) {\displaystyle (X,\preceq )} is isomorphic to some collectionDirected acyclic graph (5,628 words) [view diff] exact match in snippet view article find links to article
partial orders into DAGs works more generally: for every finite partially ordered set (S, ≤), the graph that has a vertex for every element of S and anTrapezoid graph (1,507 words) [view diff] exact match in snippet view article find links to article
corresponding trapezoids intersect. The interval order dimension of a partially ordered set, P=(X,<){\displaystyle P=(X,<)}, is the minimum number d of intervalEsakia space (463 words) [view diff] exact match in snippet view article find links to article
category of Heyting algebras and the category of Esakia spaces. For a partially ordered set (X, ≤) and for x∈ X, let ↓x = {y∈ X : y≤ x} and let ↑x = {y∈ X :Two-element Boolean algebra (1,311 words) [view diff] exact match in snippet view article find links to article
following in the literature, and will be employed here. B is a partially ordered set and the elements of B are also its bounds. An operation of arityTree rotation (1,443 words) [view diff] exact match in snippet view article find links to article
Day–Stout–Warren algorithm balances an unbalanced BST. Tamari lattice, a partially ordered set in which the elements can be defined as binary trees and the orderingInverse limit (2,266 words) [view diff] exact match in snippet view article find links to article
category C admit an alternative description in terms of functors. Any partially ordered set I can be considered as a small category where the morphisms consistWorkflow (3,150 words) [view diff] exact match in snippet view article find links to article
scheduling: A plan is a description of the logically necessary, partially ordered set of activities required to accomplish a specific goal given certainInteger partition (3,388 words) [view diff] exact match in snippet view article find links to article
order on partitions given by inclusion of Young diagrams. This partially ordered set is known as Young's lattice. The lattice was originally definedFelix Hausdorff (7,450 words) [view diff] exact match in snippet view article find links to article
him to study the concept of partially ordered set. The question of whether any ordered subset of a partially ordered set is contained in a maximal orderedMiklós Simonovits (616 words) [view diff] case mismatch in snippet view article find links to article
Structure of Edge Graphs-2 (coauthor, 1976) Spanning Retracts of a Partially Ordered Set (coauthor, 1980) Compactness Results in Extremal Graph-Theory (withCurtis Greene (415 words) [view diff] exact match in snippet view article find links to article
MR 0389608. Greene, Curtis (1976), "Some partitions associated with a partially ordered set", Journal of Combinatorial Theory, Series A, 20 (1): 69–79, doi:10Denotational semantics of the Actor model (3,346 words) [view diff] exact match in snippet view article find links to article
augmented Actor event diagrams [see Actor model theory] form a partially ordered set < Diagrams, ≤ > from which to construct the power domain P[Diagrams]Persistent homology (1,446 words) [view diff] exact match in snippet view article find links to article
d(e_{s_{j}+r_{j}})=e_{r_{j}}}. A persistence module over a partially ordered set P{\displaystyle P} is a set of vector spaces Ut{\displaystyle U_{t}}Interval order (890 words) [view diff] exact match in snippet view article find links to article
orders instead of linear orders. Thus, the interval dimension of a partially ordered set P = ( X , ≤ ) {\displaystyle P=(X,\leq )} is the least integer kIdeal (set theory) (1,399 words) [view diff] exact match in snippet view article
boundedness Filter (mathematics) – In mathematics, a special subset of a partially ordered set Filter (set theory) – Family of sets representing "large" sets IdealTuring degree (3,130 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathcal {D}}} is not a lattice. Every countable partially ordered set can be embedded in the Turing degrees. An infinite strictly increasingBoolean-valued model (2,447 words) [view diff] exact match in snippet view article find links to article
starts with a countable transitive model M of ZF set theory, a partially ordered set P, and a "generic" subset G of P, and constructs a new model ofRegular polytope (5,265 words) [view diff] exact match in snippet view article find links to article
called abstract polytopes. An abstract polytope is defined as a partially ordered set (poset), whose elements are the polytope's faces (vertices, edgesFilter quantifier (2,104 words) [view diff] exact match in snippet view article find links to article
work. Filter (mathematics) – In mathematics, a special subset of a partially ordered set Filter (set theory) – Family of sets representing "large" sets GeneralizedCovariance and contravariance (computer science) (6,691 words) [view diff] exact match in snippet view article
represent the subtype relationship ≤. (This is an example of how any partially ordered set can be considered as a category.) Then for example the functionClub filter (804 words) [view diff] exact match in snippet view article find links to article
fallback Filter (mathematics) – In mathematics, a special subset of a partially ordered set Stationary set – Set-theoretic concept Jech, Thomas, 2003. Set Theory:Topological data analysis (11,259 words) [view diff] exact match in snippet view article find links to article
is a functor from Z {\displaystyle \mathbb {Z} } considered as a partially ordered set to the category of vector spaces. The persistent homology groupBlackwell's informativeness theorem (1,463 words) [view diff] no match in snippet view article find links to article
cannot be ranked by it. More specifically, it is a chain of the partially-ordered set of information structures. The Blackwell order has many applicationsControlled grammar (7,381 words) [view diff] exact match in snippet view article find links to article
) {\displaystyle G=(\{S,X,Y,Z,A\},\{a\},S,P)} , where P is the partially ordered set described by the Hasse diagram The derivation for the string aaaaFilters in topology (30,936 words) [view diff] exact match in snippet view article find links to article
(\operatorname {PointedSets} ({\mathcal {B}}),\leq )} is not, in general, a partially ordered set, it is a directed set if (and only if) B {\displaystyle {\mathcal