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Cartesian product

set of the ordered pairs such that the first element of the pair is in the first element of the product and the second element of the pair is in the second element of the product
Thing set_operation Q173740
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Summary

Cartesian product is a set operation[1]. It draws 4,294 Wikipedia views per month (set operation category, ranking #1 of 6).[2]

Key Facts

  • Instance of: binary operation[3]
  • Named after: René Descartes[4]
  • Subclass of: relation[5], Cartesian product of several sets[6]
  • Part of: power set[7]
  • Commons category: Set product[8]
  • Notation: multiplication sign[9]
  • Described by source: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[10]
  • Has characteristic: arity[11]
  • Different from: Cartesian product of graphs[12], Cartesian product of several sets[13]
  • Studied by: set theory[14]
  • Maintained by WikiProject: WikiProject Mathematics[15]
  • P14540: disjoint union[16]

Why It Matters

Cartesian product has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[17] It is known by 87 alternative names across languages and contexts.[18]

Related Entities

René Descartes SPARQL 1.1 SPARQL 1.1 Query Language

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.
  14. [16] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] ↑ . Wikidata sitelinks. wikidata.org.
  3. [18] ↑ . 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). Cartesian product. Retrieved October 10, 2026, from https://4ort.xyz/entity/cartesian-product
MLA “Cartesian product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Oct. 2026, https://4ort.xyz/entity/cartesian-product.
BibTeX @misc{4ortxyz_cartesian-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cartesian product}}, year = {2026}, url = {https://4ort.xyz/entity/cartesian-product}, note = {Accessed: 2026-10-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cartesian product — https://4ort.xyz/entity/cartesian-product (retrieved 2026-10-10)

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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. 16d ago · Printstream · 2026-09-27 view diff on Wikidata ↗
    Wikipedia languages → ['am', 'ar', 'be', 'be_x_old', 'bg', 'ca', 'ckb', 'commons', 'cs', 'da', 'de', '
    Gnd id → 4603777-9
    Sitelink count → 70
    Claims rich → —
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/56529|batch #56529]]: Import GNDs from dewiki"
  2. 16w ago · HTinC23 · 2026-06-22 view diff on Wikidata ↗
    Instance of → —
    Subclass of → relation, Cartesian product of several sets
    Part of → —
    Part of → power set
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ P14540: disjoint union"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.