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Poset

   Also found in: Dictionary/thesaurus, Acronyms, Wikipedia 0.01 sec.
poset [′pō‚set]
(mathematics)

poset - partially ordered set

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).



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Consider the (ranked) face poset of the polytope P: its elements are faces of P of all dimensions ordered by inclusion (thus the maximal face is of dimension d, the polytope P itself, then the facets of P of dimension d - 1 and so on.
Let R be the poset product of a k-element chain by a denumerable antichain.
The defining features of the valley fall into the bounds of the Parque Natural de Posets-Maladeta, which claims more than 50% of the Pyrenean summits over 3,000m (9,840 feet), including the chain's two highest, the Macizo de Maladeta's Aneto (3,408 m/11,178 feet) and Posets (3,371 m/11,057 feet)--both are irresistible targets for climbers but notoriously nasty on occasion.
 
 
 
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