poset

[′pō‚set]

(mathematics)

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Pos’et

an urban-type settlement in Khasan Raion, Primor’e Krai, RSFSR. Pos’et is a port on Pos’et Bay of the Sea of Japan. There is a railroad station in the city. Pos’et has a fishing industry. The city was named in honor of the Russian navigator and admiral K. N. Pos’et (1819–89).

poset

partially ordered set

This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)

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References in periodicals archive ?

Obviously (C, [less than or equal to]) is a partially ordered set (POSET).

Hybrid solution for privacy-preserving access control for healthcare data

Figure 1(middle) depicts the poset [P.sub.[alpha]] the labels of the elements of [P.sub.[alpha]] refer to the corresponding faces of [G.sub.oct].

Mixing times of Markov chains on degree constrained orientations of planar graphs

For a poset X we denote its dual poset by [X.sup.d].

Quotients and subalgebras of sup-algebras/Sup-algebrate faktor- ja alamalgebrad

We show that the operators of Section 3 provide a bijection f between a subfamily of WDI digraphs and finite posets. When DI digraphs are considered, the range of f are precisely the dedekind complete finite posets, i.e., the finite posets that satisfy the least upper bound property.

Disimplicial arcs, transitive vertices, and disimplicial eliminations

Then ([A.sup.L], [less than or equal to]) is a poset and the properties ([pBB.sup.L]), ([pM.sup.L]), (pEq[less than or equal to]) hold.

New algebras and new connections between/in the algebras of logic and the monoidal algebras

The following definitions give various induced relations by the order of a poset.

Countably QC-approximating posets

Furthermore, the events in any set [[OMEGA].sub.[zeta]] are arranged according to the local causal relation [[right arrow].sub.[zeta]], which form the poset ([[OMEGA].sup.[zeta]], [[OMEGA].sub.[zeta]]).

Temporal alignment model for data streams in wireless sensor networks based on causal dependencies

Let us observe that if X is an involution poset, by it follows that c is bijective, and by (I1) and (I2) it holds that if x, y [member of] X are such that x < y, then [y.sup.c] < [x.sup.c].

Parallel rank of two sandpile models of signed integer partitions

Expansion of throughput capacity at Poset to 9mtpy and construction of a new terminal at Vanino port (25mtpy throughput) should limit the bottlenecks normally seen at other Russian ports, especially in winter.

ATON - Russian Coal, Company Profiles - Mechel, Feb 15, 2012

Then ( L, [less than or equal to]) is a poset and for any x, y [member of] L, x [conjunction] y is the inf{x, y} and x [disjunction] y the sup{x, y}.

The generalized f-derivations of lattices

[6] Venkateswara Rao.J and Srinivasa Rao.K., "Pre [A.sup.*]-algebra as a Poset", African Journal of Mathematics and Computer Science Research Vol.2 pp 073-080, May 2009.

Products and co-products in the category of pre [A.sub.*]-Algebras

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