# poset

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[′pō‚set]
(mathematics)

## 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

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References in periodicals archive ?
Obviously (C, [less than or equal to]) is a partially ordered set (POSET).
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].
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.
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.
The following definitions give various induced relations by the order of a poset.
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]]).
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].
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.
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}.
 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.
Los escolasticos definian el ser de un modo que solo aparentemente es simple: id quod existit aut existere poset, aquello que existe o puede existir.

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