See 二次形式 on Wiktionary
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{ "categories": [ "日本語", "日本語 名詞" ], "forms": [ { "form": "にじけいしき" } ], "lang": "日本語", "lang_code": "ja", "pos": "noun", "pos_title": "名詞", "related": [ { "word": "一次形式" }, { "word": "三次形式" }, { "word": "正定値行列" }, { "word": "対角化" }, { "word": "モジュラー形式" }, { "word": "連分数" }, { "word": "ピタゴラス数" } ], "senses": [ { "categories": [ "日本語 微分幾何学", "日本語 数論", "日本語 線型代数学" ], "glosses": [ "全ての項の次数が2である多項式。一般に、対称行列Aと列ベクトル mathbf xを用いて{}ᵗ! mathbf x×A× mathbf xと表せる。また、跡を用いるとtr(A× mathbf x×{}ᵗ! mathbf x)とも表せる。複素数の二次形式を考えるときはエルミート行列が登場する。" ], "raw_tags": [ "微分幾何学", "位相幾何学" ], "topics": [ "linear algebra", "number theory" ] } ], "word": "二次形式" }
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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 2025-01-27 from the jawiktionary dump dated 2025-01-20 using wiktextract (c7bdf0e and 5c11237). 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.