See metric space in All languages combined, or Wiktionary
{
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"form": "metric spaces",
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"head_templates": [
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"kind": "other",
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"parents": [],
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{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
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{
"kind": "topical",
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"name": "Mathematics",
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"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Topological spaces",
"orig": "en:Topological spaces",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Topology",
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],
"glosses": [
"Any set on which a metric is defined, giving a distance between any two elements."
],
"hypernyms": [
{
"word": "Hausdorff space"
},
{
"word": "semimetric space"
},
{
"word": "topological space"
}
],
"hyponyms": [
{
"word": "normed vector space"
}
],
"id": "en-metric_space-en-noun-ybqaVGa9",
"links": [
[
"mathematics",
"mathematics"
],
[
"mathematical analysis",
"mathematical analysis"
],
[
"topology",
"topology"
],
[
"set",
"set#English"
],
[
"metric",
"metric#English"
]
],
"raw_glosses": [
"(mathematics, mathematical analysis, topology) Any set on which a metric is defined, giving a distance between any two elements."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences",
"topology"
],
"translations": [
{
"code": "af",
"lang": "Afrikaans",
"sense": "space (mathematics)",
"word": "metriese ruimte"
},
{
"code": "cs",
"lang": "Czech",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "metrický prostor"
},
{
"code": "da",
"lang": "Danish",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "metrisk rum"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "space (mathematics)",
"tags": [
"feminine"
],
"word": "metrische ruimte"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "space (mathematics)",
"word": "metrinen avaruus"
},
{
"code": "fr",
"lang": "French",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espace métrique"
},
{
"code": "gl",
"lang": "Galician",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espazo métrico"
},
{
"code": "de",
"lang": "German",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "metrischer Raum"
},
{
"code": "el",
"lang": "Greek",
"roman": "metrikós chóros",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "μετρικός χώρος"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "firðrúm"
},
{
"code": "ga",
"lang": "Irish",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "spás méadrach"
},
{
"code": "it",
"lang": "Italian",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "spazio metrico"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "space (mathematics)",
"word": "距離空間"
},
{
"code": "lt",
"lang": "Lithuanian",
"sense": "space (mathematics)",
"tags": [
"feminine"
],
"word": "metrinė erdvė"
},
{
"code": "pl",
"lang": "Polish",
"sense": "space (mathematics)",
"tags": [
"feminine"
],
"word": "przestrzeń metryczna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espaço métrico"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "spațiu metric"
},
{
"code": "ru",
"lang": "Russian",
"roman": "metríčeskoje prostránstvo",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "метри́ческое простра́нство"
},
{
"code": "es",
"lang": "Spanish",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espacio métrico"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "space (mathematics)",
"word": "metriskt rum"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "gofod metrig"
}
],
"wikipedia": [
"metric space"
]
}
],
"word": "metric space"
}
{
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"expansion": "metric space (plural metric spaces)",
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"word": "Hausdorff space"
},
{
"word": "semimetric space"
},
{
"word": "topological space"
}
],
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{
"word": "normed vector space"
}
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"pos": "noun",
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"en:Mathematical analysis",
"en:Mathematics",
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"en:Topology"
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"glosses": [
"Any set on which a metric is defined, giving a distance between any two elements."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"mathematical analysis",
"mathematical analysis"
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[
"topology",
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[
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[
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"(mathematics, mathematical analysis, topology) Any set on which a metric is defined, giving a distance between any two elements."
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"mathematics",
"sciences",
"topology"
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"translations": [
{
"code": "af",
"lang": "Afrikaans",
"sense": "space (mathematics)",
"word": "metriese ruimte"
},
{
"code": "cs",
"lang": "Czech",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "metrický prostor"
},
{
"code": "da",
"lang": "Danish",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "metrisk rum"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "space (mathematics)",
"tags": [
"feminine"
],
"word": "metrische ruimte"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "space (mathematics)",
"word": "metrinen avaruus"
},
{
"code": "fr",
"lang": "French",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espace métrique"
},
{
"code": "gl",
"lang": "Galician",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espazo métrico"
},
{
"code": "de",
"lang": "German",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "metrischer Raum"
},
{
"code": "el",
"lang": "Greek",
"roman": "metrikós chóros",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "μετρικός χώρος"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "firðrúm"
},
{
"code": "ga",
"lang": "Irish",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "spás méadrach"
},
{
"code": "it",
"lang": "Italian",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "spazio metrico"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "space (mathematics)",
"word": "距離空間"
},
{
"code": "lt",
"lang": "Lithuanian",
"sense": "space (mathematics)",
"tags": [
"feminine"
],
"word": "metrinė erdvė"
},
{
"code": "pl",
"lang": "Polish",
"sense": "space (mathematics)",
"tags": [
"feminine"
],
"word": "przestrzeń metryczna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espaço métrico"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "spațiu metric"
},
{
"code": "ru",
"lang": "Russian",
"roman": "metríčeskoje prostránstvo",
"sense": "space (mathematics)",
"tags": [
"neuter"
],
"word": "метри́ческое простра́нство"
},
{
"code": "es",
"lang": "Spanish",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "espacio métrico"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "space (mathematics)",
"word": "metriskt rum"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "space (mathematics)",
"tags": [
"masculine"
],
"word": "gofod metrig"
}
],
"word": "metric space"
}
Download raw JSONL data for metric space meaning in English (4.4kB)
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.