greatest element वाक्य
उदाहरण वाक्य
मोबाइल
- Like upper bounds, greatest elements may fail to exist.
- A set can have several maximal elements without having a greatest element.
- This set has a supremum but no greatest element.
- In other words, m is a greatest element.
- An order that has both a least and a greatest element is bounded.
- Partially ordered sets without greatest element or maximal elements admit disjoint cofinal subsets.
- Potlatch showcases two of the greatest elements of ultimate, competition and sportsmanship.
- We begin by showing that " P " has least and greatest element.
- The pseudo-complement is the greatest element " y " such that.
- The existence of least and greatest elements is a special completeness property of a partial order.
- If it does, it is a maximal or greatest element of " S ".
- Least and greatest elements may fail to exist, as the example of the real numbers shows.
- However, if it has a greatest element, it can't have any other maximal element.
- In particular, it contains a least element and a greatest element ( also denoted " universe " ).
- The union of a nonempty set of ordinals that has no greatest element is then always a limit ordinal.
- In a bounded meet-semilattice, the identity 1 is the greatest element of " S ".
- It should be remarked that the formal definition looks very much like that of a greatest element for an ordered set.
- In the case of topologies, the greatest element is the discrete topology and the least element is the trivial topology.
- For bounded lattices, preservation of least and greatest elements is just preservation of join and meet of the empty set.
- The dual notion, the empty lower bound, is the greatest element, top, or unit ( 1 ).
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