# closure operator sentence in Hindi

###### SentencesMobile

- A finitary closure operator with this property is called a matroid.
- The Galois connection is not uniquely determined by the closure operator.
- For more on this matter, see closure operator below.
- Finitary closure operators with this property give rise to antimatroids.
- A closure operator on a partially ordered set is determined by its closed elements.
- It is an example of a closure operator; all closure operators are idempotent functions.
- It is an example of a closure operator; all closure operators are idempotent functions.
- Then that closure operator can be shown to satisfy the axioms of a preclosure operator.
- This allows to define new local structures on the category ( such as a closure operator ).
- In fact, " every " closure operator arises in this way from a suitable Galois connection.
- Such a least cut does indeed exist and one has a closure operator on the powerset lattice of all elements.
- Any Galois connection gives rise to closure operators and to inverse order-preserving bijections between the corresponding closed elements.
- If the closure operator is taken as primitive, the interior operator can be defined as " x"
- A set together with a closure operator on it is sometimes called a "'closure system " '.
- The convex hull in " n "-dimensional Euclidean space is another example of a finitary closure operator.
- Boolean interior algebras can be identified with ordinary Boolean algebras as their interior and closure operators provide no meaningful additional structure.
- Every Galois connection ( or residuated mapping ) gives rise to a closure operator ( as is explained in that article ).
- The operator \ langle \ rangle is a finitary closure operator on the set of subsets of | \ mathcal A |.
- In summary, one can say that every complete lattice is isomorphic to the image of a closure operator on a powerset lattice.
- In this way, closure operators and Galois connections are seen to be closely related, each specifying an instance of the other.

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