See closed form in All languages combined, or Wiktionary
Download JSON data for closed form meaning in English (4.5kB)
{
"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."
}
],
"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": "77 6 8 4 4",
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics) expression that does not use limits",
"word": "suljettu muoto"
},
{
"_dis1": "77 6 8 4 4",
"code": "de",
"lang": "German",
"sense": "(mathematics) expression that does not use limits",
"tags": [
"feminine"
],
"word": "geschlossene Form"
},
{
"_dis1": "77 6 8 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": "22 54 12 10 2",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"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": "9 86 2 1 2",
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics) differential form whose exterior derivative is zero",
"word": "suljettu muoto"
},
{
"_dis1": "9 86 2 1 2",
"code": "de",
"lang": "German",
"sense": "(mathematics) differential form whose exterior derivative is zero",
"tags": [
"feminine"
],
"word": "geschlossene Form"
},
{
"_dis1": "9 86 2 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"
]
},
{
"examples": [
{
"text": "If ω is a closed form, then dω=0."
}
],
"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"
],
"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": [
"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."
}
],
"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"
]
},
{
"examples": [
{
"text": "If ω is a closed form, then dω=0."
}
],
"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"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 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.