complement

unary operation on sets: the set of non-elements of the argument set
Thing unary_operation Q242767
complement
WatchduckYou can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck". · Public Domain · Wikimedia
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complement

Summary

complement is an unary operation[1]. complement draws 456 Wikipedia views per month (unary_operation category, ranking #2 of 9).[2]

Key Facts

  • complement's instance of is recorded as unary operation[3].
  • complement's instance of is recorded as set operation[4].
  • complement's instance of is recorded as Wikimedia article covering multiple topics[5].
  • complement's instance of is recorded as logical negation[6].
  • complement is a type of subset[7].
  • complement is a type of set difference[8].
  • complement's Unicode character is recorded as ∁[9].
  • complement's main subject is set difference[10].
  • complement's main subject is absolute complement[11].
  • complement's described by source is recorded as Q140169500[12].
  • complement's TeX string is recorded as \complement[13].
  • complement's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • complement's P14541 is recorded as 3wTzIk[15].

Body

Definition and Type

Recorded instance of include unary operation[3], set operation[4], Wikimedia article covering multiple topics[5], and logical negation[6]. Recorded subclass of include subset[7] and set difference[8].

Why It Matters

complement draws 456 Wikipedia views per month (unary_operation category, ranking #2 of 9).[2] complement has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[16] complement is known by 61 alternative names across languages and contexts.[17]

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] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] ↑ . Wikidata sitelinks. wikidata.org.
  3. [17] ↑ . 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). complement. Retrieved October 7, 2026, from https://4ort.xyz/entity/complement
MLA “complement.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Oct. 2026, https://4ort.xyz/entity/complement.
BibTeX @misc{4ortxyz_complement_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{complement}}, year = {2026}, url = {https://4ort.xyz/entity/complement}, note = {Accessed: 2026-10-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): complement — https://4ort.xyz/entity/complement (retrieved 2026-10-07)

Canonical URL: https://4ort.xyz/entity/complement · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4w ago · AddyLockPool · 2026-09-03 view diff on Wikidata ↗
    Described by source → Q140169500
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q140169500]]"
  2. 5w ago · Dexxor · 2026-08-31 view diff on Wikidata ↗
    Mathworld id → Complementation, Complement, ComplementSet
    "/* wbmergeitems-from:0||Q141201671 */"
  3. 5w ago · AddyLockPool · 2026-08-28 view diff on Wikidata ↗
    Mathworld id → Complementation, Complement, ComplementSet
    "/* wbremoveclaims-remove:1| */ [[Property:P2812]]: ComplementSet, Moving to [[Q141201671]]"
  4. 12w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Main subject → set difference, absolute complement
    Local thumb → —
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.