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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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See Examples For:

Some are empty, set up at the crack of dawn and then abandoned for hours on end, until the owners actually want to use them.

From BBC ● Jan. 8, 2025

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

Carson Daly opens “The Voice” from an empty set, the trademark red judges’ chairs sitting like abandoned monuments, and refers vaguely to “Everything that’s been going on.”

From New York Times ● May 8, 2020

In a video shot for Vogue’s “73 Questions” feature, she wanders the rooms of what sometimes looks like an empty set, with a color palette ranging from white to off-white.

From Slate ● Apr. 13, 2020

On the deck where he’d been standing, a green iguana crouched next to an empty set of Chinese handcuffs.

From "The Mark of Athena" by Rick Riordan

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