Word.ws English Dictionary

set-builder notation

set-builder notation noun: a mathematical notation for describing a set by specifying the properties that its members must satisfy.

Noun

set-builder notation

  1. A mathematical notation for describing a set by specifying the properties that its members must satisfy.
    • With this idea for describing a finite set of sets, it is easy to generalize the concept to a certain infinite family #92;mathcal#123;S#125;#95;2 of sets #92;mathcal#123;S#125;#95;2#61;#92;#123;A#95;i#92;verti#92;inN#92;#125;#61;#92;#123;A#95;1,A#95;2,A#95;3,#92;dots,A#95;n,#92;dots#92;#125;. Once...2000, Kenneth E. Hummel, Introductory Concepts for Abstract Mathematics, CRC Press (Chapman & Hall/CRC), page 123
    • Q=a/b|a∈Iandb∈I,b ne 0
      This statement is read in English as "Q is the set of all numbers of the form a/b such that a and b are both integers, but b is not equal to zero."2011, Tom Bassarear, Mathematics for Elementary School Teachers, Cengage Learning, 5th Edition, page 56, In this case, and in many other cases, we describe the set using set-builder notation

Questions about set-builder notation

What does set-builder notation mean?
Set-builder notation means a mathematical notation for describing a set by specifying the properties that its members must satisfy.
What part of speech is set-builder notation?
Set-builder notation is a noun.

Words near set-builder notation in the dictionary

  1. set up to oneself
  2. set upon
  3. set with
  4. set-and-forget
  5. set-aside
  6. set-builder notation
  7. set-down
  8. set-downs
  9. set-fair
  10. set-in
  11. set-in sleeve

Source and license

Adapted from Wiktionary: set-builder notation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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