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

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Meaning of Nonempty from wikipedia

- In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set)...
- 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...
- one-step subgroup test is a theorem that states that for any group, a nonempty subset of that group is itself a group if the inverse of any element in...
- every indexed family ( S i ) i ∈ I {\displaystyle (S_{i})_{i\in I}} of nonempty sets there exists an indexed family ( x i ) i ∈ I {\displaystyle (x_{i})_{i\in...
- has measure 0, while its interior has measure 1. Almost every point of the rectangle is an interior point, yet the interior has a nonempty complement....
- a\in A} . In cl****ical mathematics, this is the same as the set being nonempty; however, this equivalence is not valid in intuitionistic logic. In cl****ical...
- formulation of AC is that the Cartesian product of a family of nonempty sets is nonempty; but since the empty set is most certainly compact, the proof...
- property (FIP) if the intersection over any finite subcollection of A is nonempty. It has the strong finite intersection property (SFIP) if the intersection...
- interesting. For instance, a lattice is a partially ordered set in which all nonempty finite subsets have both a supremum and an infimum, and a complete lattice...
- space that cannot be represented as the union of two or more disjoint nonempty open subsets. Connectedness is one of the prin****l topological properties...