maximal element वाक्य
उदाहरण वाक्य
मोबाइल
- You're right of course that there's no need to invoke the ghost of Max Zorn to get maximal elements there!
- They make a more direct assumption that individual preferences have maximal elements, and examine conditions for the social preference to have a maximal element.
- They make a more direct assumption that individual preferences have maximal elements, and examine conditions for the social preference to have a maximal element.
- Of course, when the restriction of \ leq to S is a total order, the notions of maximal element and greatest element coincide.
- :I think you have confused maximal element with greatest element .-- talk ) 19 : 46, 20 February 2008 ( UTC)
- The extension theorem is then proved by showing that the set of strict partial orders containing " R " has some maximal element.
- Let m \ in S be a maximal element, for any s \ in S either s \ leq m or m \ leq s.
- In other words " H " is a maximal element of the partially ordered set of proper subgroups of " G ".
- This defines a partial order on decision rules; the maximal elements with respect to this order are called " admissible decision rules ."
- The third definition is even more strict in that it excludes posets with infinite chains and also requires all maximal elements to have the same rank.
- If m is a maximal element and s \ in S, it remains the possibility that neither s \ leq m nor m \ leq s.
- However, when \ preceq is only a preorder, an element x with the property above behaves very much like a maximal element in an ordering.
- Zorn's lemma provides us with at least one maximal element M, which, from our reverse ordering, is actually minimal under standard inclusion.
- For, if every element of a partially ordered set is either a minimal element or a maximal element, then the corresponding comparability graph is bipartite.
- As the example shows, there can be many maximal elements and some elements may be both maximal and minimal ( e . g . 5 above ).
- For instance, a minimal element of } } will be a maximal element of } } } } : minimality and maximality are dual concepts in order theory.
- ;" The priority queue maintenance problem " : It is a simplified version of this dynamic problem, where one requires to delete only the maximal element.
- The collection \ mathcal { S } _ 2 of these subsets cannot contain an infinite ascending chain, so has a maximal element " F " 2.
- The elements of an abstract polyhedron are its body ( the maximal element ), its faces, edges, vertices and the " null polytope " or empty set.
- This corresponds algebraically to the universal perfect central extension ( called " covering group ", by analogy ) as the maximal element, and a group mod its center as minimal element.
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