"置換行列" meaning in All languages combined

{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 名詞",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "ちかんぎょうれつ"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "単位行列"
    },
    {
      "word": "確率行列"
    },
    {
      "word": "二重確率行列"
    },
    {
      "word": "バーコフ-フォン・ノイマンの定理"
    },
    {
      "word": "ホールの結婚定理"
    },
    {
      "word": "バーコフ多面体"
    },
    {
      "word": "置換"
    },
    {
      "word": "対称群"
    },
    {
      "word": "交代群"
    },
    {
      "word": "互換"
    },
    {
      "word": "巡回置換"
    },
    {
      "word": "行列式"
    },
    {
      "word": "偶置換"
    },
    {
      "word": "奇置換"
    },
    {
      "word": "準同型写像"
    },
    {
      "word": "正規部分群"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 グラフ理論",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "日本語 線型代数学",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "各行・各列に1が一つだけあり、他の成分が全て0である正方行列。"
      ],
      "id": "ja-置換行列-ja-noun-eRheBqu0",
      "topics": [
        "graph theory",
        "linear algebra"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 線型代数学",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "置換をσとしたとき1 2⋯n\\σ(1)σ(2)⋯σ(n)と表される行列。"
      ],
      "id": "ja-置換行列-ja-noun-TkoBhrrB",
      "raw_tags": [
        "群論"
      ],
      "topics": [
        "linear algebra"
      ]
    }
  ],
  "word": "置換行列"
}

{
  "categories": [
    "日本語",
    "日本語 名詞"
  ],
  "forms": [
    {
      "form": "ちかんぎょうれつ"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "単位行列"
    },
    {
      "word": "確率行列"
    },
    {
      "word": "二重確率行列"
    },
    {
      "word": "バーコフ-フォン・ノイマンの定理"
    },
    {
      "word": "ホールの結婚定理"
    },
    {
      "word": "バーコフ多面体"
    },
    {
      "word": "置換"
    },
    {
      "word": "対称群"
    },
    {
      "word": "交代群"
    },
    {
      "word": "互換"
    },
    {
      "word": "巡回置換"
    },
    {
      "word": "行列式"
    },
    {
      "word": "偶置換"
    },
    {
      "word": "奇置換"
    },
    {
      "word": "準同型写像"
    },
    {
      "word": "正規部分群"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 グラフ理論",
        "日本語 線型代数学"
      ],
      "glosses": [
        "各行・各列に1が一つだけあり、他の成分が全て0である正方行列。"
      ],
      "topics": [
        "graph theory",
        "linear algebra"
      ]
    },
    {
      "categories": [
        "日本語 線型代数学"
      ],
      "glosses": [
        "置換をσとしたとき1 2⋯n\\σ(1)σ(2)⋯σ(n)と表される行列。"
      ],
      "raw_tags": [
        "群論"
      ],
      "topics": [
        "linear algebra"
      ]
    }
  ],
  "word": "置換行列"
}