See 双対空間 on Wiktionary
{ "categories": [ { "kind": "other", "name": "日本語", "parents": [], "source": "w" }, { "kind": "other", "name": "日本語 名詞", "parents": [], "source": "w" } ], "forms": [ { "form": "そうついくうかん" } ], "lang": "日本語", "lang_code": "ja", "pos": "noun", "pos_title": "名詞", "related": [ { "word": "一次形式" }, { "word": "双対基底" } ], "senses": [ { "categories": [ { "kind": "other", "name": "日本語 線型代数学", "parents": [], "source": "w" } ], "glosses": [ "ある体 K 上のあるベクトル空間 V を K へ写す線型写像 f: V → K の全ての集まりから成る集合を考え、その線型写像の集合に和と K によるスカラー倍を改めて導入したもの。双対ベクトル空間。" ], "id": "ja-双対空間-ja-noun-KLl6EYTS", "topics": [ "linear algebra" ] } ], "word": "双対空間" }
{ "categories": [ "日本語", "日本語 名詞" ], "forms": [ { "form": "そうついくうかん" } ], "lang": "日本語", "lang_code": "ja", "pos": "noun", "pos_title": "名詞", "related": [ { "word": "一次形式" }, { "word": "双対基底" } ], "senses": [ { "categories": [ "日本語 線型代数学" ], "glosses": [ "ある体 K 上のあるベクトル空間 V を K へ写す線型写像 f: V → K の全ての集まりから成る集合を考え、その線型写像の集合に和と K によるスカラー倍を改めて導入したもの。双対ベクトル空間。" ], "topics": [ "linear algebra" ] } ], "word": "双対空間" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-20 from the jawiktionary dump dated 2025-01-01 using wiktextract (ee63ee9 and 4230888). 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.