"Cartesian square" meaning in English

See Cartesian square in All languages combined, or Wiktionary

Noun

Forms: Cartesian squares [plural]
Head templates: {{en-noun}} Cartesian square (plural Cartesian squares)
  1. (set theory) For a set X, the Cartesian product X² = X × X. Categories (topical): Set theory
    Sense id: en-Cartesian_square-en-noun-dRZzMMtz Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 60 40 Disambiguation of Pages with 1 entry: 68 32 Disambiguation of Pages with entries: 78 22 Topics: mathematics, sciences, set-theory
  2. (category theory) A pullback. Categories (topical): Category theory
    Sense id: en-Cartesian_square-en-noun-ZqcKXwfI Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

Inflected forms

{
  "forms": [
    {
      "form": "Cartesian squares",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Cartesian square (plural Cartesian squares)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "60 40",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "68 32",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "78 22",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "For a set X, the Cartesian product X² = X × X."
      ],
      "id": "en-Cartesian_square-en-noun-dRZzMMtz",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "set",
          "set"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ]
      ],
      "raw_glosses": [
        "(set theory) For a set X, the Cartesian product X² = X × X."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A pullback."
      ],
      "id": "en-Cartesian_square-en-noun-ZqcKXwfI",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "pullback",
          "pullback"
        ]
      ],
      "raw_glosses": [
        "(category theory) A pullback."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "Cartesian square"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "forms": [
    {
      "form": "Cartesian squares",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Cartesian square (plural Cartesian squares)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Set theory"
      ],
      "glosses": [
        "For a set X, the Cartesian product X² = X × X."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "set",
          "set"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ]
      ],
      "raw_glosses": [
        "(set theory) For a set X, the Cartesian product X² = X × X."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    },
    {
      "categories": [
        "en:Category theory"
      ],
      "glosses": [
        "A pullback."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "pullback",
          "pullback"
        ]
      ],
      "raw_glosses": [
        "(category theory) A pullback."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "Cartesian square"
}

Download raw JSONL data for Cartesian square meaning in English (1.1kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.