See Euclidean space in All languages combined, or Wiktionary
Download JSON data for Euclidean space meaning in English (5.2kB)
{
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"tags": [
"plural"
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"lang_code": "en",
"pos": "noun",
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"_dis": "60 40",
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"name": "Manifolds",
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],
"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": "58 42",
"word": "Hilbert space"
},
{
"_dis1": "58 42",
"word": "inner product space"
},
{
"_dis1": "58 42",
"word": "real vector space"
}
],
"id": "en-Euclidean_space-en-noun-1UFpzKfg",
"links": [
[
"n-dimensional",
"n-dimensional"
],
[
"parallel",
"parallel#English"
],
[
"lines",
"line#English"
]
],
"synonyms": [
{
"_dis1": "57 43",
"word": "Cartesian space"
},
{
"_dis1": "57 43",
"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"
},
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],
"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"
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],
"raw_glosses": [
"(mathematics) Any real vector space on which a real-valued inner product (and, consequently, a metric) is defined."
],
"tags": [
"countable",
"uncountable"
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"topics": [
"mathematics",
"sciences"
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"translations": [
{
"_dis1": "27 73",
"code": "ko",
"lang": "Korean",
"roman": "yukeullideu gonggan",
"sense": "type of vector space",
"word": "유클리드 공간"
}
]
}
],
"wikipedia": [
"Euclidean space"
],
"word": "Euclidean space"
}
{
"categories": [
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"English entries with incorrect language header",
"English entries with language name categories using raw markup",
"English eponyms",
"English lemmas",
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"English terms with non-redundant non-automated sortkeys",
"English uncountable nouns",
"en:Manifolds"
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"forms": [
{
"form": "Euclidean spaces",
"tags": [
"plural"
]
}
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"expansion": "Euclidean space (countable and uncountable, plural Euclidean spaces)",
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"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",
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"lines",
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]
],
"tags": [
"countable",
"uncountable"
]
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{
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],
"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"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.