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カテゴリー: 数学

あみだくじと群論という分野

たく, 数学

そういえば今日の0655では以下の写真の問題が出ました。 これは言い換えるとあみだくじの上の個数と下の個数は必ず同じであると証明可能なのか？ という話です。 あみだくじにおいて「横線を引く」という行為は実は交換規則を追加するという行為になります。これは必ず 一対一 で入れ替え操作です。入れ替えなので総数に変化はありませ…

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