set difference

the resulting set when removing the elements in one set from another set
Thing set_operation Q845126
set difference
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set difference

Summary

set difference is a set operation[1]. It draws 24 Wikipedia views per month (set_operation category, ranking #6 of 6).[2]

Key Facts

  • set difference's image is recorded as Venn0010.svg[3].
  • set difference's instance of is recorded as set operation[4].
  • set difference's instance of is recorded as binary operation[5].
  • set difference's GND ID is recorded as 4149809-4[6].
  • set difference's Unicode character is recorded as ∖[7].
  • set difference's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[8].
  • set difference's TeX string is recorded as \setminus[9].
  • set difference's defining formula is recorded as A \setminus B = { x \mid x \in A \land x \notin B }[10].
  • set difference's Google Knowledge Graph ID is recorded as /g/120x6v91[11].
  • set difference's Google Knowledge Graph ID is recorded as /g/122sgc7z[12].
  • set difference's Google Knowledge Graph ID is recorded as /g/1227_33z[13].
  • set difference's MathWorld ID is recorded as SetDifference[14].
  • set difference's Dictionary of Algorithms and Data Structures ID is recorded as difference[15].
  • set difference's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • set difference's ProofWiki ID is recorded as Definition:Set_Difference[17].
  • set difference's in defining formula is recorded as {x \mid p(x)}[18].
  • set difference's in defining formula is recorded as A[19].
  • set difference's in defining formula is recorded as B[20].
  • set difference's in defining formula is recorded as A \setminus B[21].
  • set difference's Metamath statement ID is recorded as df-dif[22].

Why It Matters

set difference draws 24 Wikipedia views per month (set_operation category, ranking #6 of 6).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[23] It is known by 23 alternative names across languages and contexts.[24]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . ISO 31-11. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [23] . Wikidata sitelinks. wikidata.org.
  3. [24] . 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 difference. Retrieved May 3, 2026, from https://4ort.xyz/entity/set-difference
MLA “set difference.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/set-difference.
BibTeX @misc{4ortxyz_set-difference_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{set difference}}, year = {2026}, url = {https://4ort.xyz/entity/set-difference}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): set difference — https://4ort.xyz/entity/set-difference (retrieved 2026-05-03)

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