"ultraproduct" meaning in English

See ultraproduct in All languages combined, or Wiktionary

Noun

Forms: ultraproducts [plural]
Etymology: ultra- + product Etymology templates: {{prefix|en|ultra|product}} ultra- + product Head templates: {{en-noun}} ultraproduct (plural ultraproducts)
  1. (mathematics) A quotient of the direct product of a family of structures Wikipedia link: ultraproduct Categories (topical): Mathematics
    Sense id: en-ultraproduct-en-noun-0g4h3LY3 Categories (other): English entries with incorrect language header, English terms prefixed with ultra- Topics: mathematics, sciences

Inflected forms

Download JSON data for ultraproduct meaning in English (1.2kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "product"
      },
      "expansion": "ultra- + product",
      "name": "prefix"
    }
  ],
  "etymology_text": "ultra- + product",
  "forms": [
    {
      "form": "ultraproducts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ultraproduct (plural ultraproducts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with ultra-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A quotient of the direct product of a family of structures"
      ],
      "id": "en-ultraproduct-en-noun-0g4h3LY3",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "quotient",
          "quotient"
        ],
        [
          "product",
          "product"
        ],
        [
          "structure",
          "structure"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A quotient of the direct product of a family of structures"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "ultraproduct"
      ]
    }
  ],
  "word": "ultraproduct"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "product"
      },
      "expansion": "ultra- + product",
      "name": "prefix"
    }
  ],
  "etymology_text": "ultra- + product",
  "forms": [
    {
      "form": "ultraproducts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ultraproduct (plural ultraproducts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with ultra-",
        "en:Mathematics"
      ],
      "glosses": [
        "A quotient of the direct product of a family of structures"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "quotient",
          "quotient"
        ],
        [
          "product",
          "product"
        ],
        [
          "structure",
          "structure"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A quotient of the direct product of a family of structures"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "ultraproduct"
      ]
    }
  ],
  "word": "ultraproduct"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.