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set-builder notation

mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy
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set-builder notation

Summary

set-builder notation ranks in the top 2% of general entities by monthly Wikipedia readership (255 views/month).[1]

Key Facts

  • set-builder notation's subclass of is recorded as mathematical notation[2].
  • set-builder notation's Freebase ID is recorded as /m/01g4wx[3].
  • set-builder notation's represents is recorded as set[4].
  • set-builder notation's uses is recorded as curly bracket[5].
  • set-builder notation's uses is recorded as colon[6].
  • set-builder notation's uses is recorded as vertical bar[7].
  • set-builder notation's uses is recorded as predicate[8].
  • set-builder notation's uses is recorded as free variable[9].
  • set-builder notation's uses is recorded as bound variable[10].
  • set-builder notation's defining formula is recorded as { x \in A \mid P(x) }[11].
  • set-builder notation's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • set-builder notation's Microsoft Academic ID is recorded as 169333412[13].
  • set-builder notation's Microsoft Academic ID is recorded as 195237285[14].
  • set-builder notation's in defining formula is recorded as A[15].
  • set-builder notation's in defining formula is recorded as \in[16].
  • set-builder notation's in defining formula is recorded as x[17].
  • set-builder notation's in defining formula is recorded as P[18].

Why It Matters

set-builder notation ranks in the top 2% of general entities by monthly Wikipedia readership (255 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[19] It is known by 5 alternative names across languages and contexts.[20]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.
  14. [15] ↑ . wikidata.org.
  15. [16] ↑ . wikidata.org.
  16. [17] ↑ . wikidata.org.
  17. [18] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] ↑ . Wikidata sitelinks. wikidata.org.
  3. [20] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). set-builder notation. Retrieved April 10, 2026, from https://4ort.xyz/entity/set-builder-notation
MLA “set-builder notation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/set-builder-notation.
BibTeX @misc{4ortxyz_set-builder-notation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{set-builder notation}}, year = {2026}, url = {https://4ort.xyz/entity/set-builder-notation}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): set-builder notation — https://4ort.xyz/entity/set-builder-notation (retrieved 2026-04-10)

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