See Euclidean space on Wiktionary
{
"forms": [
{
"form": "Euclidean spaces",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "Euclidean space (countable and uncountable, plural Euclidean spaces)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"_dis": "55 45",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "54 46",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "53 47",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "54 46",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "57 43",
"kind": "other",
"name": "Terms with Czech translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "49 51",
"kind": "other",
"name": "Terms with Danish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "57 43",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "57 43",
"kind": "other",
"name": "Terms with Greek translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "57 43",
"kind": "other",
"name": "Terms with Hungarian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with Korean translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "57 43",
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "52 48",
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Serbo-Croatian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "56 44",
"kind": "other",
"name": "Terms with Thai translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "57 43",
"kind": "other",
"langcode": "en",
"name": "Manifolds",
"orig": "en:Manifolds",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines."
],
"hypernyms": [
{
"_dis1": "59 41",
"word": "Hilbert space"
},
{
"_dis1": "59 41",
"word": "inner product space"
},
{
"_dis1": "59 41",
"word": "real vector space"
}
],
"id": "en-Euclidean_space-en-noun-1UFpzKfg",
"links": [
[
"n-dimensional",
"n-dimensional"
],
[
"parallel",
"parallel#English"
],
[
"lines",
"line#English"
]
],
"synonyms": [
{
"_dis1": "59 41",
"word": "Cartesian space"
},
{
"_dis1": "59 41",
"word": "Euclidian space"
}
],
"tags": [
"countable",
"uncountable"
],
"translations": [
{
"_dis1": "69 31",
"code": "cs",
"lang": "Czech",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "euklidovský prostor"
},
{
"_dis1": "69 31",
"code": "da",
"lang": "Danish",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "euklidisk rum"
},
{
"_dis1": "69 31",
"code": "fi",
"lang": "Finnish",
"sense": "ordinary space",
"word": "euklidinen avaruus"
},
{
"_dis1": "69 31",
"code": "fr",
"lang": "French",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espace euclidien"
},
{
"_dis1": "69 31",
"code": "el",
"lang": "Greek",
"roman": "Efkleídeios chóros",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "Ευκλείδειος χώρος"
},
{
"_dis1": "69 31",
"code": "hu",
"lang": "Hungarian",
"sense": "ordinary space",
"word": "euklideszi tér"
},
{
"_dis1": "69 31",
"code": "ja",
"lang": "Japanese",
"roman": "Yūkuriddo kūkan",
"sense": "ordinary space",
"word": "ユークリッド空間"
},
{
"_dis1": "69 31",
"code": "ko",
"lang": "Korean",
"roman": "yukeullideu gonggan",
"sense": "ordinary space",
"word": "유클리드 공간"
},
{
"_dis1": "69 31",
"code": "pl",
"lang": "Polish",
"sense": "ordinary space",
"tags": [
"feminine"
],
"word": "przestrzeń euklidesowa"
},
{
"_dis1": "69 31",
"code": "pt",
"lang": "Portuguese",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espaço euclidiano"
},
{
"_dis1": "69 31",
"code": "ro",
"lang": "Romanian",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "spațiu euclidian"
},
{
"_dis1": "69 31",
"code": "ru",
"lang": "Russian",
"roman": "jevklídovo prostránstvo",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "евкли́дово простра́нство"
},
{
"_dis1": "69 31",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "euklidski prostor"
},
{
"_dis1": "69 31",
"code": "es",
"lang": "Spanish",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espacio euclídeo"
},
{
"_dis1": "69 31",
"code": "es",
"lang": "Spanish",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espacio euclidiano"
},
{
"_dis1": "69 31",
"code": "sv",
"lang": "Swedish",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "euklidiskt rum"
},
{
"_dis1": "69 31",
"code": "th",
"lang": "Thai",
"sense": "ordinary space",
"word": "ปริภูมิแบบยุคลิด"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "55 45",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "54 46",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "53 47",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "54 46",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "49 51",
"kind": "other",
"name": "Terms with Danish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with Korean translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "52 48",
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined."
],
"id": "en-Euclidean_space-en-noun-oVkOgzyc",
"links": [
[
"mathematics",
"mathematics"
],
[
"real vector space",
"real vector space"
],
[
"inner product",
"inner product"
],
[
"metric",
"metric"
]
],
"raw_glosses": [
"(mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "21 79",
"code": "ko",
"lang": "Korean",
"roman": "yukeullideu gonggan",
"sense": "type of vector space",
"word": "유클리드 공간"
}
]
}
],
"wikipedia": [
"Euclidean space"
],
"word": "Euclidean space"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"English uncountable nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Czech translations",
"Terms with Danish translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with Greek translations",
"Terms with Hungarian translations",
"Terms with Japanese translations",
"Terms with Korean translations",
"Terms with Polish translations",
"Terms with Portuguese translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Terms with Serbo-Croatian translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"Terms with Thai translations",
"en:Manifolds"
],
"forms": [
{
"form": "Euclidean spaces",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "Euclidean space (countable and uncountable, plural Euclidean spaces)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "Hilbert space"
},
{
"word": "inner product space"
},
{
"word": "real vector space"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"glosses": [
"Ordinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines."
],
"links": [
[
"n-dimensional",
"n-dimensional"
],
[
"parallel",
"parallel#English"
],
[
"lines",
"line#English"
]
],
"tags": [
"countable",
"uncountable"
]
},
{
"categories": [
"en:Mathematics"
],
"glosses": [
"Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"real vector space",
"real vector space"
],
[
"inner product",
"inner product"
],
[
"metric",
"metric"
]
],
"raw_glosses": [
"(mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "Cartesian space"
},
{
"word": "Euclidian space"
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "euklidovský prostor"
},
{
"code": "da",
"lang": "Danish",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "euklidisk rum"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "ordinary space",
"word": "euklidinen avaruus"
},
{
"code": "fr",
"lang": "French",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espace euclidien"
},
{
"code": "el",
"lang": "Greek",
"roman": "Efkleídeios chóros",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "Ευκλείδειος χώρος"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "ordinary space",
"word": "euklideszi tér"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "Yūkuriddo kūkan",
"sense": "ordinary space",
"word": "ユークリッド空間"
},
{
"code": "ko",
"lang": "Korean",
"roman": "yukeullideu gonggan",
"sense": "ordinary space",
"word": "유클리드 공간"
},
{
"code": "pl",
"lang": "Polish",
"sense": "ordinary space",
"tags": [
"feminine"
],
"word": "przestrzeń euklidesowa"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espaço euclidiano"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "spațiu euclidian"
},
{
"code": "ru",
"lang": "Russian",
"roman": "jevklídovo prostránstvo",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "евкли́дово простра́нство"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "euklidski prostor"
},
{
"code": "es",
"lang": "Spanish",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espacio euclídeo"
},
{
"code": "es",
"lang": "Spanish",
"sense": "ordinary space",
"tags": [
"masculine"
],
"word": "espacio euclidiano"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "ordinary space",
"tags": [
"neuter"
],
"word": "euklidiskt rum"
},
{
"code": "th",
"lang": "Thai",
"sense": "ordinary space",
"word": "ปริภูมิแบบยุคลิด"
},
{
"code": "ko",
"lang": "Korean",
"roman": "yukeullideu gonggan",
"sense": "type of vector space",
"word": "유클리드 공간"
}
],
"wikipedia": [
"Euclidean space"
],
"word": "Euclidean space"
}
Download raw JSONL data for Euclidean space meaning in All languages combined (4.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). 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.