Partially ordered sets
Tripled partially ordered sets
... Partially ordered sets (or poset) are generalizations of ordered ...A partially ordered set is a set together with a binary relation that indicates that, for some pairs of ...
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A solution of Volterra-Hamerstain integral equation in partially ordered sets
... Lopez, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22 (2005) 223–239.. [4] J.J.[r] ...
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On externally complete subsets and common fixed points in partially ordered sets
... complete ordered sets. We discuss the properties of such sets and characterize them in ordered ...in partially ordered sets and prove a common fixed point result which ...
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Positivity Among P-Partition Generating Functions of Partially Ordered Sets
... a partially ordered set (which is what the P references) to partially order sequences of integers that sum to ...two partially ordered sets to be related to each other in a ...
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Delay differential equations: a partially ordered sets approach in vectorial metric spaces
... vectorial partially ordered sets by using vectorial norms introduced by Agarwal [, ] which will allow us to investigate the existence of periodic solutions of vectorial delay differential ...
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Common fixed point theorems for (ψ, φ)-weak nonlinear contraction in partially ordered sets
... Existence of fixed point in partially ordered sets has been considered recently in [11-25]. Tarski’s theorem is used in [26] to show the existence of solutions for fuzzy equations and in [27] to ...
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Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets
... Here, we consider just only a lower solution or an upper solution for the above interval initial value problem and use fixed point in partially ordered sets to prove the existence results. This ...
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Continuity in Partially Ordered Sets
... directed sets in addition to the following two conditions: i each element is the sup of elements way below it, and ii for each element, the set of elements way below it is a directed ...
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Random structures for partially ordered sets
... following example. We can calculate the different number of embeddings that map the elements x\ and x 2 into particular levels. So, if we consider a.. This means that we are unable to [r] ...
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Random structures for partially ordered sets
... for all i = 0 , 1 , . . . , io — 1 and all t, ki < t < ki+ 1 , and for z = io and ki 0 < t < min {Tp,cra}. □ We can apply Theorem 2.10 to |C/Jn^| as follows. We take as the Markov process the random binary growth model, ...
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An arithmetical theorem for partially ordered sets
... Then each element of S has a unique reduced decomposition into irreducibles if and only if S is upper semi-modular and every three ideals covering a principal i[r] ...
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The Polyhedral Geometry of Partially Ordered Sets
... a partially ordered set historically emerged from two separate branches that just recently ...edge sets of both polytope in [ HL16 ] and [ HLSS17 ], ...
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Dualization on Partially Ordered Sets: Preliminary Results
... short), is a crucial step in many applications in logics, databases, artificial intel- ligence and pattern mining and has been intensively studied for years [1–3]. The dualization problem can be very difficult and the ...
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Probability Distributions on Partially Ordered Sets and Network Interdiction Games
... finite partially ordered set (poset), such that a set of constraints in- volving marginal probabilities of the poset’s elements and maximal chains is satisfied? We present a combinatorial algorithm to ...
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Inductive properties of fixed point sets of mappings on posets and on partially ordered topological spaces
... In [] and [], several fixed point theorems are proved for set-valued mappings on china- complete posets and some applications have been provided. In the theorems in [] and [], the condition A requires that the values ...
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Finite partially ordered set and some of its properties
... This paper focuses on some main properties of the finite partially ordered sets. These properties are furnished in the form of theorems. Here we have presented three such theorems. The first theorem ...
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Learning with Partially Ordered Representations
... jonathan.rawski@stonybrook.edu Abstract This paper examines the characterization and learning of grammars defined with enriched representational models. Model-theoretic ap- proaches to formal language theory tradition- ...
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On the Semantics of Partially Ordered Bases
... totally ordered case are no longer equivalent in the partially ordered ...a partially ordered belief base from a semantic standpoint, and show its limitations in terms of ...
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Ideal extensions of ordered sets
... for ordered sets. If P , Q are disjoint ordered sets, we construct (all) the ordered sets V which have an ideal P which is isomorphic to P, and the complement of P in V is ...
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THE CASE OF PARTIALLY ORDERED COMPACT SPACES
... OF PARTIALLY ORDERED COMPACT SPACES DIRK HOFMANN, RENATO NEVES, AND PEDRO NORA ...of partially ordered compact spaces and monotone continuous maps is an ℵ 1 -ary quasivariety, and describe ...
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