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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Cartesian product

Summary

Cartesian product is a set operation[1]. It draws 2,262 Wikipedia views per month (set_operation category, ranking #1 of 6).[2]

Key Facts

  • Cartesian product's instance of is recorded as set operation[3].
  • Cartesian product's instance of is recorded as binary operation[4].
  • René Descartes is named after Cartesian product[5].
  • Cartesian product is a type of relation[6].
  • Cartesian product is a type of Cartesian product of several sets[7].
  • Cartesian product is part of power set[8].
  • Cartesian product's Commons category is recorded as Set product[9].
  • Cartesian product's notation is recorded as multiplication sign[10].
  • Cartesian product's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[11].
  • Cartesian product's has characteristic is recorded as arity[12].
  • Cartesian product's different from is recorded as Cartesian product of graphs[13].
  • Cartesian product's different from is recorded as Cartesian product of several sets[14].
  • Cartesian product's studied by is recorded as set theory[15].
  • Cartesian product's maintained by WikiProject is recorded as WikiProject Mathematics[16].

Body

Definition and Type

Recorded instance of include set operation[3] and binary operation[4]. Recorded subclass of include relation[6] and Cartesian product of several sets[7].

Origins

René Descartes is named after Cartesian product[5].

Use and Application

Cartesian product is part of power set[8].

Why It Matters

Cartesian product draws 2,262 Wikipedia views per month (set_operation category, ranking #1 of 6).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[17] It is known by 58 alternative names across languages and contexts.[18]

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 May 3, 2026, from https://4ort.xyz/entity/cartesian-product
MLA “Cartesian product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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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. 12d 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 */ [[Property:P14540]]: [[Q842620]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.