See vector space on Wiktionary
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space" }, { "word": "quadratic space" }, { "word": "real vector space" } ], "id": "en-vector_space-en-noun-9~FnfDCr", "links": [ [ "algebra", "algebra" ], [ "geometry", "geometry" ], [ "topology", "topology" ], [ "set", "set" ], [ "vector", "vector" ], [ "field", "field" ], [ "addition", "addition" ], [ "scalar multiplication", "scalar multiplication" ], [ "constraint", "constraint" ], [ "module", "module" ] ], "meronyms": [ { "word": "linear subspace" }, { "word": "subspace" }, { "word": "vector" } ], "raw_glosses": [ "(algebra, geometry, topology) A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints; equivalently, a module over a field." ], "synonyms": [ { "word": "linear space" } ], "topics": [ "algebra", "geometry", "mathematics", "sciences", "topology" ], "translations": [ { "code": "af", "lang": "Afrikaans", "sense": "mathematics", "word": "vektorruimte" }, { "code": "hy", "lang": "Armenian", "roman": "vektorakan taracutʻyun", "sense": "mathematics", "word": "վեկտորական տարածություն" }, { "code": "ast", "lang": "Asturian", "sense": "mathematics", "tags": [ "masculine" ], "word": "espaciu vectorial" }, { "code": "eu", "lang": "Basque", "sense": "mathematics", "word": "bektore espazio" }, { "code": "be", "lang": "Belarusian", "roman": "vjektarnaja prastóra", "sense": "mathematics", "tags": [ "feminine" ], "word": "вектарная прастора" }, { "code": "ca", "lang": "Catalan", "sense": "mathematics", "tags": [ "masculine" ], "word": "espai vectorial" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "mathematics", "word": "向量空間" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "xiàngliàng kōngjiān", "sense": "mathematics", "word": "向量空间" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "mathematics", "word": "矢量空間" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "shǐliàng kōngjiān", "sense": "mathematics", "word": "矢量空间" }, { "code": "cs", "lang": "Czech", "sense": "mathematics", "tags": [ "masculine" ], "word": "vektorový prostor" }, { "code": "da", "lang": "Danish", "sense": "mathematics", "tags": [ "neuter" ], "word": "vektorrum" }, { "code": "nl", "lang": "Dutch", "sense": "mathematics", "tags": [ "feminine" ], "word": "vectorruimte" }, { "code": "eo", "lang": "Esperanto", "sense": "mathematics", "word": "vektora spaco" }, { "code": "et", "lang": "Estonian", "sense": "mathematics", "word": "vektorruum" }, { "code": "fi", "lang": "Finnish", "sense": "mathematics", "word": "vektoriavaruus" }, { "code": "fr", "lang": "French", "sense": "mathematics", "tags": [ "masculine" ], "word": "espace vectoriel" }, { "code": "gl", "lang": "Galician", "sense": "mathematics", "tags": [ "masculine" ], "word": "espazo vectorial" }, { "code": "de", "lang": "German", "sense": "mathematics", "tags": [ "masculine" ], "word": "Vektorraum" }, { "code": "el", "lang": "Greek", "roman": "dianysmatikós chóros", "sense": "mathematics", "tags": [ "masculine" ], "word": "διανυσματικός χώρος" }, { "code": "hu", "lang": "Hungarian", "sense": "mathematics", "word": "vektortér" }, { "code": "is", "lang": "Icelandic", "sense": "mathematics", "tags": [ "neuter" ], "word": "vigurrúm" }, { "code": "id", "lang": "Indonesian", "sense": "mathematics", "word": "ruang vektor" }, { "code": "ia", "lang": "Interlingua", "sense": "mathematics", "word": "spatio vectorial" }, { "code": "ga", "lang": "Irish", "sense": "mathematics", "tags": [ "masculine" ], "word": "spás veicteoireach" }, { "code": "it", "lang": "Italian", "sense": "mathematics", "tags": [ "masculine" ], "word": "spazio vettoriale" }, { "code": "ja", "lang": "Japanese", "roman": "bekutoru kūkan", "sense": "mathematics", "word": "ベクトル空間" }, { "code": "ko", "lang": "Korean", "roman": "bekteo gonggan", "sense": "mathematics", "word": "벡터 공간" }, { "code": "ky", "lang": "Kyrgyz", "roman": "vektorduk meykindik", "sense": "mathematics", "word": "вектордук мейкиндик" }, { "code": "lt", "lang": "Lithuanian", "sense": "mathematics", "tags": [ "feminine" ], "word": "vektorinė erdvė" }, { "code": "mk", "lang": "Macedonian", "roman": "vektorski prostor", "sense": "mathematics", "tags": [ "masculine" ], "word": "векторски простор" }, { "code": "ms", "lang": "Malay", "sense": "mathematics", "word": "ruang vektor" }, { "code": "ml", "lang": "Malayalam", "roman": "sadiśasamaṣṭi", "sense": "mathematics", "word": "സദിശസമഷ്ടി" }, { "code": "no", "lang": "Norwegian", "sense": "mathematics", "tags": [ "neuter" ], "word": "vektorrom" }, { "code": "fa", "lang": "Persian", "sense": "mathematics", "word": "فضای برداری" }, { "code": "pl", "lang": "Polish", "sense": "mathematics", "tags": [ "feminine" ], "word": "przestrzeń wektorowa" }, { "code": "pl", "lang": "Polish", "sense": "mathematics", "tags": [ "feminine" ], "word": "przestrzeń liniowa" }, { "code": "pt", "lang": "Portuguese", "sense": "mathematics", "tags": [ "masculine" ], "word": "espaço vetorial" }, { "code": "ro", "lang": "Romanian", "sense": "mathematics", "tags": [ "neuter" ], "word": "spațiu vectorial" }, { "code": "ru", "lang": "Russian", "roman": "véktornoje prostránstvo", "sense": "mathematics", "tags": [ "neuter" ], "word": "ве́кторное простра́нство" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "mathematics", "tags": [ "masculine" ], "word": "vektorski prostor" }, { "code": "sk", "lang": "Slovak", "sense": "mathematics", "tags": [ "masculine" ], "word": "vektorový priestor" }, { "code": "sl", "lang": "Slovene", "sense": "mathematics", "tags": [ "masculine" ], "word": "vektorski prostor" }, { "code": "es", "lang": "Spanish", "sense": "mathematics", "tags": [ "masculine" ], "word": "espacio vectorial" }, { "code": "sv", "lang": "Swedish", "sense": "mathematics", "tags": [ "neuter" ], "word": "vektorrum" }, { "code": "tl", "lang": "Tagalog", "sense": "mathematics", "word": "espasyong bektor" }, { "code": "ta", "lang": "Tamil", "roman": "ticaiyaṉ veḷi", "sense": "mathematics", "word": "திசையன் வெளி" }, { "code": "th", "lang": "Thai", "sense": "mathematics", "word": "ปริภูมิเวกเตอร์" }, { "code": "th", "lang": "Thai", "sense": "mathematics", "word": "ปริภูมิเชิงเส้น" }, { "code": "tr", "lang": "Turkish", "sense": "mathematics", "word": "vektör uzayı" }, { "code": "uk", "lang": "Ukrainian", "roman": "vektornyj prostir", "sense": "mathematics", "tags": [ "masculine" ], "word": "векторний простір" }, { "code": "vi", "lang": "Vietnamese", "sense": "mathematics", "word": "không gian vectơ" } ], "wikipedia": [ "vector space" ] } ], "word": "vector space" }
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{ "code": "el", "lang": "Greek", "roman": "dianysmatikós chóros", "sense": "mathematics", "tags": [ "masculine" ], "word": "διανυσματικός χώρος" }, { "code": "hu", "lang": "Hungarian", "sense": "mathematics", "word": "vektortér" }, { "code": "is", "lang": "Icelandic", "sense": "mathematics", "tags": [ "neuter" ], "word": "vigurrúm" }, { "code": "id", "lang": "Indonesian", "sense": "mathematics", "word": "ruang vektor" }, { "code": "ia", "lang": "Interlingua", "sense": "mathematics", "word": "spatio vectorial" }, { "code": "ga", "lang": "Irish", "sense": "mathematics", "tags": [ "masculine" ], "word": "spás veicteoireach" }, { "code": "it", "lang": "Italian", "sense": "mathematics", "tags": [ "masculine" ], "word": "spazio vettoriale" }, { "code": "ja", "lang": "Japanese", "roman": "bekutoru kūkan", "sense": "mathematics", "word": "ベクトル空間" }, { "code": "ko", "lang": "Korean", "roman": "bekteo gonggan", "sense": "mathematics", "word": "벡터 공간" }, { "code": "ky", "lang": "Kyrgyz", "roman": 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bektor" }, { "code": "ta", "lang": "Tamil", "roman": "ticaiyaṉ veḷi", "sense": "mathematics", "word": "திசையன் வெளி" }, { "code": "th", "lang": "Thai", "sense": "mathematics", "word": "ปริภูมิเวกเตอร์" }, { "code": "th", "lang": "Thai", "sense": "mathematics", "word": "ปริภูมิเชิงเส้น" }, { "code": "tr", "lang": "Turkish", "sense": "mathematics", "word": "vektör uzayı" }, { "code": "uk", "lang": "Ukrainian", "roman": "vektornyj prostir", "sense": "mathematics", "tags": [ "masculine" ], "word": "векторний простір" }, { "code": "vi", "lang": "Vietnamese", "sense": "mathematics", "word": "không gian vectơ" } ], "word": "vector space" }
Download raw JSONL data for vector space meaning in All languages combined (9.5kB)
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.