# empty set

Also found in: Encyclopedia, Wikipedia.
Related to empty set: Infinite set

## empty set

Mathematics
The set that has no members or elements.
Mentioned in ?
References in periodicals archive ?
It is never precisely clear whether she was born there and emigrated to Mexico, but the empty set, the nothingness, at the core of her story finds its roots there.
1]) is the empty set [empty set], which is the open internal set of [x.
A neutrosophic crisp topology (NCT) on a non empty set X is a family of [GAMMA] of neutrosophic crisp subsets in X satisfying the following axioms:
In the minute-long trailer filmed at the series' gloomy and empty set, Lemony Snicket, played by Patrick Warburton, tells the audience, whom he called 'complete strangers,' what to expect from the series.
In this proof, the B constructs are prefixed by "b_", and "b_empty", "b_BIG", "b_in", "b_eq", and "b_drest" respectively represent the empty set [empty set], the set BIG (which is an infinite set, mostly only used to build natural numbers in the foundational theory), the membership operator "[member of]", the (extensional) equality "=", and the domain restriction construct "[?
They even sneaked on to the empty set and sat in Cowell's judge's seat.
The empty set does have properties that are not immediately intuitive, which we can see when we describe subsets.
Then, there is [empty set] = {}, an empty set that contains no elements at all; and there is U, a universal set that contains all elements.
9) The axioms that do not conform to simple rules of manipulation are the two explicitly existential axioms of the Empty Set and Infinity (BE 62).
Students work through the physical meaning of empty set, intersection, and union of sets.
An assignment is said to satisfy a diagram D if and only if it satisfies all the representing facts of D, where an assignment satisfies the representing facts if, basically, any shaded region is assigned the empty set and any region with an x-sequence in it is assigned a non-empty set.
I found the discussion of environmental problems "by the numbers" in the last chapter unconvincing, for lack of good empirical grounding; and there is a silly confusion on page 83, taken from a quote from Gina Kolata, between the use of a slashed zero in "new math" to denote the empty set and the use of a slash in computer typefaces to avoid confusing 0 with O.

Site: Follow: Share:
Open / Close