# nonempty

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Related to nonempty: Proper subset

## nonempty

(ˌnɒnˈɛmptɪ)
(Mathematics) maths relating to a mathematical set containing at least one element
References in periodicals archive ?
12] Let X be a nonempty set and the neutrosophic sets A and B in the form [mathematical expression not reproducible].
We denote by BH the family of all nonempty bounded subsets of H.
c](X) the family of all nonempty closed and convex subsets of X.
If dom f is nonempty, the function f is said to be proper.
n]} is a nonempty finite set of objects and A is a nonempty finite set of attributes.
Partial word u of length n over A, a nonempty finite alphabet, is partial map u : {1, 2, .
That is, a mapping m : X x X [1,8) is called a multiplicative metric [15] on a nonempty set X if for each x, y, z E X, m satisfies these conditions: (m1): m(x, y) greater than 1 for all x, y E X and m(x, y) = 1 if and only if x = y; (m2): m(x, y) = m(y, x) for all x, y E X; (m3): m(x, z) = m(x, y) - m(y, z) for all x,y,z E X.
Proposition 1 ([3]) Let G be any nonempty graph and let e be any edge of G.
i]|i[member of]I}, of fuzzy subsets of X, where I is a nonempty Index set, the least upper bound [[union].
Let S(n, k) be the Stirling number of the second kind, which counts the number of partitions of a set with n elements in k disjoint nonempty subsets.
H] so that [DELTA] is nonempty, and (3) c [member of] [DELTA].

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