"closed form" meaning in All languages combined

See closed form on Wiktionary

Noun [English]

Forms: closed forms [plural]
Head templates: {{en-noun|~}} closed form (countable and uncountable, plural closed forms)
  1. (mathematics) A form (expression) that does not use limits, implicitly or explicitly. Tags: countable, uncountable Categories (topical): Mathematics Translations ((mathematics) expression that does not use limits): suljettu muoto (Finnish), geschlossene Form [feminine] (German), wzór jawny [masculine] (Polish)
    Sense id: en-closed_form-en-noun-GElNZFaa Topics: mathematics, sciences Disambiguation of '(mathematics) expression that does not use limits': 83 6 3 4 4
  2. (mathematics) A differential form whose exterior derivative is zero. Tags: countable, uncountable Categories (topical): Mathematics Translations ((mathematics) differential form whose exterior derivative is zero): suljettu muoto (Finnish), geschlossene Form [feminine] (German), wzór jawny [masculine] (Polish)
    Sense id: en-closed_form-en-noun-l2XPl6Xf Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations, Terms with German translations, Terms with Polish translations Disambiguation of English entries with incorrect language header: 17 71 5 5 2 Disambiguation of Entries with translation boxes: 7 80 4 5 5 Disambiguation of Pages with 1 entry: 14 73 4 5 4 Disambiguation of Pages with entries: 7 81 4 5 4 Disambiguation of Terms with Finnish translations: 11 59 11 13 6 Disambiguation of Terms with German translations: 10 66 7 8 9 Disambiguation of Terms with Polish translations: 13 50 13 16 8 Topics: mathematics, sciences Disambiguation of '(mathematics) differential form whose exterior derivative is zero': 7 90 1 1 2
  3. (poetry) A type of poetry with regular structure, such as meter or a rhyming pattern. Tags: countable, uncountable Categories (topical): Poetry
    Sense id: en-closed_form-en-noun-1FU7q7T0 Topics: communications, journalism, literature, media, poetry, publishing, writing
  4. (poetry) Trobar clus. Tags: countable, uncountable Categories (topical): Poetry
    Sense id: en-closed_form-en-noun-BC3t1r8b Topics: communications, journalism, literature, media, poetry, publishing, writing
  5. Used other than figuratively or idiomatically: see closed, form. Tags: countable, uncountable
    Sense id: en-closed_form-en-noun-50EDADII

Inflected forms

{
  "forms": [
    {
      "form": "closed forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "closed form (countable and uncountable, plural closed forms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "There is no known representation of π in closed form: each expression for it includes an integral, an infinite series, or an infinite continued fraction.",
          "type": "example"
        }
      ],
      "glosses": [
        "A form (expression) that does not use limits, implicitly or explicitly."
      ],
      "id": "en-closed_form-en-noun-GElNZFaa",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "form",
          "form"
        ],
        [
          "expression",
          "expression#English"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "implicit",
          "implicit"
        ],
        [
          "explicit",
          "explicit"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A form (expression) that does not use limits, implicitly or explicitly."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "83 6 3 4 4",
          "code": "fi",
          "lang": "Finnish",
          "sense": "(mathematics) expression that does not use limits",
          "word": "suljettu muoto"
        },
        {
          "_dis1": "83 6 3 4 4",
          "code": "de",
          "lang": "German",
          "sense": "(mathematics) expression that does not use limits",
          "tags": [
            "feminine"
          ],
          "word": "geschlossene Form"
        },
        {
          "_dis1": "83 6 3 4 4",
          "code": "pl",
          "lang": "Polish",
          "sense": "(mathematics) expression that does not use limits",
          "tags": [
            "masculine"
          ],
          "word": "wzór jawny"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "17 71 5 5 2",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "7 80 4 5 5",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "14 73 4 5 4",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "7 81 4 5 4",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "11 59 11 13 6",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "10 66 7 8 9",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "13 50 13 16 8",
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A differential form whose exterior derivative is zero."
      ],
      "id": "en-closed_form-en-noun-l2XPl6Xf",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "differential form",
          "differential form"
        ],
        [
          "exterior derivative",
          "exterior derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A differential form whose exterior derivative is zero."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "7 90 1 1 2",
          "code": "fi",
          "lang": "Finnish",
          "sense": "(mathematics) differential form whose exterior derivative is zero",
          "word": "suljettu muoto"
        },
        {
          "_dis1": "7 90 1 1 2",
          "code": "de",
          "lang": "German",
          "sense": "(mathematics) differential form whose exterior derivative is zero",
          "tags": [
            "feminine"
          ],
          "word": "geschlossene Form"
        },
        {
          "_dis1": "7 90 1 1 2",
          "code": "pl",
          "lang": "Polish",
          "sense": "(mathematics) differential form whose exterior derivative is zero",
          "tags": [
            "masculine"
          ],
          "word": "wzór jawny"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Poetry",
          "orig": "en:Poetry",
          "parents": [
            "Art",
            "Literature",
            "Culture",
            "Entertainment",
            "Writing",
            "Society",
            "Human behaviour",
            "Language",
            "All topics",
            "Human",
            "Communication",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A type of poetry with regular structure, such as meter or a rhyming pattern."
      ],
      "id": "en-closed_form-en-noun-1FU7q7T0",
      "links": [
        [
          "poetry",
          "poetry"
        ],
        [
          "structure",
          "structure"
        ]
      ],
      "raw_glosses": [
        "(poetry) A type of poetry with regular structure, such as meter or a rhyming pattern."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "communications",
        "journalism",
        "literature",
        "media",
        "poetry",
        "publishing",
        "writing"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Poetry",
          "orig": "en:Poetry",
          "parents": [
            "Art",
            "Literature",
            "Culture",
            "Entertainment",
            "Writing",
            "Society",
            "Human behaviour",
            "Language",
            "All topics",
            "Human",
            "Communication",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Trobar clus."
      ],
      "id": "en-closed_form-en-noun-BC3t1r8b",
      "links": [
        [
          "poetry",
          "poetry"
        ],
        [
          "Trobar clus",
          "Trobar clus"
        ]
      ],
      "raw_glosses": [
        "(poetry) Trobar clus."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "communications",
        "journalism",
        "literature",
        "media",
        "poetry",
        "publishing",
        "writing"
      ]
    },
    {
      "categories": [],
      "examples": [
        {
          "text": "If ω is a closed form, then dω=0.",
          "type": "example"
        }
      ],
      "glosses": [
        "Used other than figuratively or idiomatically: see closed, form."
      ],
      "id": "en-closed_form-en-noun-50EDADII",
      "links": [
        [
          "closed",
          "closed#English"
        ],
        [
          "form",
          "form#English"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    }
  ],
  "word": "closed form"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English uncountable nouns",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Finnish translations",
    "Terms with German translations",
    "Terms with Polish translations"
  ],
  "forms": [
    {
      "form": "closed forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
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      "expansion": "closed form (countable and uncountable, plural closed forms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "There is no known representation of π in closed form: each expression for it includes an integral, an infinite series, or an infinite continued fraction.",
          "type": "example"
        }
      ],
      "glosses": [
        "A form (expression) that does not use limits, implicitly or explicitly."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "form",
          "form"
        ],
        [
          "expression",
          "expression#English"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "implicit",
          "implicit"
        ],
        [
          "explicit",
          "explicit"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A form (expression) that does not use limits, implicitly or explicitly."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A differential form whose exterior derivative is zero."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "differential form",
          "differential form"
        ],
        [
          "exterior derivative",
          "exterior derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A differential form whose exterior derivative is zero."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Poetry"
      ],
      "glosses": [
        "A type of poetry with regular structure, such as meter or a rhyming pattern."
      ],
      "links": [
        [
          "poetry",
          "poetry"
        ],
        [
          "structure",
          "structure"
        ]
      ],
      "raw_glosses": [
        "(poetry) A type of poetry with regular structure, such as meter or a rhyming pattern."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "communications",
        "journalism",
        "literature",
        "media",
        "poetry",
        "publishing",
        "writing"
      ]
    },
    {
      "categories": [
        "en:Poetry"
      ],
      "glosses": [
        "Trobar clus."
      ],
      "links": [
        [
          "poetry",
          "poetry"
        ],
        [
          "Trobar clus",
          "Trobar clus"
        ]
      ],
      "raw_glosses": [
        "(poetry) Trobar clus."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "communications",
        "journalism",
        "literature",
        "media",
        "poetry",
        "publishing",
        "writing"
      ]
    },
    {
      "categories": [
        "English terms with usage examples"
      ],
      "examples": [
        {
          "text": "If ω is a closed form, then dω=0.",
          "type": "example"
        }
      ],
      "glosses": [
        "Used other than figuratively or idiomatically: see closed, form."
      ],
      "links": [
        [
          "closed",
          "closed#English"
        ],
        [
          "form",
          "form#English"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "(mathematics) expression that does not use limits",
      "word": "suljettu muoto"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "(mathematics) expression that does not use limits",
      "tags": [
        "feminine"
      ],
      "word": "geschlossene Form"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "(mathematics) expression that does not use limits",
      "tags": [
        "masculine"
      ],
      "word": "wzór jawny"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "(mathematics) differential form whose exterior derivative is zero",
      "word": "suljettu muoto"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "(mathematics) differential form whose exterior derivative is zero",
      "tags": [
        "feminine"
      ],
      "word": "geschlossene Form"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "(mathematics) differential form whose exterior derivative is zero",
      "tags": [
        "masculine"
      ],
      "word": "wzór jawny"
    }
  ],
  "word": "closed form"
}

Download raw JSONL data for closed form meaning in All languages combined (3.6kB)


This page is a part of the kaikki.org machine-readable All languages combined 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.