See 巡回行列 on Wiktionary
{ "categories": [ { "kind": "other", "name": "日本語", "parents": [], "source": "w" }, { "kind": "other", "name": "日本語 名詞", "parents": [], "source": "w" } ], "etymology_texts": [ "左上~右下方向に同じ値が並ぶことから。" ], "forms": [ { "form": "じゅんかいぎょうれつ" } ], "lang": "日本語", "lang_code": "ja", "notes": [ "三次巡回行列abc\\cab\\bcaの行列式を展開するとa³+b³+c³-3abcを複素数範囲で因数分解した式(a+b+c)(a+ωb+ω²c)(a+ω²b+ωc)が登場する(ただしω=^(3])√=(-1+√i)/2)。\n離散フーリエ変換を表す行列Fは巡回行列の固有ベクトルを並べた行列である。" ], "pos": "noun", "pos_title": "名詞", "senses": [ { "categories": [ { "kind": "other", "name": "日本語 線型代数学", "parents": [], "source": "w" } ], "glosses": [ "(i, j)成分が(i-j)を次数で割ったものである正方行列。" ], "id": "ja-巡回行列-ja-noun-8sg0geaP", "topics": [ "linear-algebra" ] } ], "word": "巡回行列" }
{ "categories": [ "日本語", "日本語 名詞" ], "etymology_texts": [ "左上~右下方向に同じ値が並ぶことから。" ], "forms": [ { "form": "じゅんかいぎょうれつ" } ], "lang": "日本語", "lang_code": "ja", "notes": [ "三次巡回行列abc\\cab\\bcaの行列式を展開するとa³+b³+c³-3abcを複素数範囲で因数分解した式(a+b+c)(a+ωb+ω²c)(a+ω²b+ωc)が登場する(ただしω=^(3])√=(-1+√i)/2)。\n離散フーリエ変換を表す行列Fは巡回行列の固有ベクトルを並べた行列である。" ], "pos": "noun", "pos_title": "名詞", "senses": [ { "categories": [ "日本語 線型代数学" ], "glosses": [ "(i, j)成分が(i-j)を次数で割ったものである正方行列。" ], "topics": [ "linear-algebra" ] } ], "word": "巡回行列" }
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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 2025-10-06 from the jawiktionary dump dated 2025-10-02 using wiktextract (19bd8d3 and 1ab82da). 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.
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