Definition of Nonempty. Meaning of Nonempty. Synonyms of Nonempty

Here you will find one or more explanations in English for the word Nonempty. Also in the bottom left of the page several parts of wikipedia pages related to the word Nonempty and, of course, Nonempty synonyms and on the right images related to the word Nonempty.

Definition of Nonempty

No result for Nonempty. Showing similar results...

Meaning of Nonempty from wikipedia

- In mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories...
- the intersection of every d + 1 of these sets is nonempty, then the whole collection has a nonempty intersection; that is, ⋂ j = 1 n X j ≠ ∅ . {\displaystyle...
- every indexed family ( S i ) i ∈ I {\displaystyle (S_{i})_{i\in I}} of nonempty sets, there exists an indexed set ( x i ) i ∈ I {\displaystyle (x_{i})_{i\in...
- Cantor set. Every decreasing nested sequence of nonempty closed subsets S1 ⊇ S2 ⊇ ... in (X, d) has a nonempty intersection. Every increasing nested sequence...
- R\cup S} ∪ {\displaystyle \cup }  of increasing nonempty chain ∪ {\displaystyle \cup }  of increasing nonempty chain Arbitrary unions (of at least 1 set) Arbitrary unions...
- efforts to extend Schauder's work. Schauder fixed-point theorem: Let C be a nonempty closed convex subset of a Banach space V. If f : C → C is continuous with...
- also shows that every nonempty complete metric space with no isolated point is uncountable. (If X {\displaystyle X} is a nonempty countable metric space...
- Every nonempty Baire space is nonmeagre. In particular, by the Baire category theorem every nonempty complete metric space and every nonempty locally...
- (+) 1; count := count + 1; nonempty.signal end append; procedure remove(result x: portion) ; begin if count = 0 then nonempty.wait; note 0 < count <= N;...
- the general notion. A concrete Boolean algebra or field of sets is any nonempty set of subsets of a given set X closed under the set operations of union...