# 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, 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...
- 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...
- 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...
- infinite set is infinite. The Cartesian product of an infinite set and a nonempty set is infinite. The Cartesian product of an infinite number of sets each...
- 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...
- general notion is the intersection of an arbitrary nonempty collection of sets. If M is a nonempty set whose elements are themselves sets, then x is an...
- 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....
- property (FIP) if the intersection over any finite subcollection of A is nonempty. It has the strong finite intersection property (SFIP) if the intersection...
- 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...
- 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...