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empty set

American  
[emp-tee set] / ˈɛmp ti ˈsɛt /

noun

  • empty sets
    plural
  1. Mathematics. in set theory, the set containing no elements.


empty set Scientific  
/ ĕmp′tē /
  1. Mathematics The set that has no members or elements.


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Example Sentences

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Other examples are the axiom of the empty set, which states that a set without elements exists, and the axiom of pairing, according to which two sets with the same elements are equal.

From Scientific American ● Jul. 13, 2023

Meanwhile the camera panned to an empty set.

From BBC ● Aug. 12, 2021

In Briggs, the court found no substantial government justification, a veritable empty set to weigh against the unindicted individual’s interests.

From Slate ● Oct. 29, 2017

Notice that with mutually exclusive events, the intersection of and is the empty set.

From Textbooks ● Feb. 13, 2015

I was halfway through attaching my probes when I realized that Regan had jumped into one of the chairs in the empty set on the left.

From "Glitch" by Laura Martin

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