{"id":161,"date":"2023-07-15T22:44:08","date_gmt":"2023-07-15T22:44:08","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%9b%9b%e5%85%83%e6%95%b0\/"},"modified":"2023-07-15T22:44:08","modified_gmt":"2023-07-15T22:44:08","slug":"%e5%9b%9b%e5%85%83%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%9b%9b%e5%85%83%e6%95%b0\/","title":{"rendered":"\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u3068\u306f\u4f55\u3067\u3059\u304b?"},"content":{"rendered":"<p>\u8a9e\u6e90\u7684\u306b\u306f\u3001<strong>\u56db\u5143\u6570\u307e\u305f\u306f\u56db\u5143\u6570\u306f<\/strong>\u30e9\u30c6\u30f3\u8a9e\u306e<em>quaterni<\/em>\u306b\u7531\u6765\u3057\u307e\u3059\u3002\u30b9\u30da\u30a4\u30f3\u8a9e\u3067\u306f\u3001\u3053\u306e\u8a00\u8449\u306f\u300c4\u6642\u307e\u3067\u306b\u300d\u3068\u3044\u3046\u610f\u5473\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u306e\u89e3\u91c8\u306f\u300c4\u3064\u306e\u8981\u7d20\u306e\u6570\u300d\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u3001\u30a6\u30a3\u30ea\u30a2\u30e0 \u30ed\u30fc\u30ef\u30f3 \u30cf\u30df\u30eb\u30c8\u30f3\u306b\u3088\u3063\u3066\u6700\u521d\u306b\u4f5c\u6210\u3055\u308c\u305f\u975e\u9806\u5217\u30d5\u30a3\u30fc\u30eb\u30c9\u306e\u8981\u7d20\u3067\u3059\u3002\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u3001\u8d85\u8907\u7d20\u6570\u3092\u69cb\u6210\u3059\u308b\u5b9f\u6570\u306e\u62e1\u5f35\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u5b9f\u969b\u3001\u305d\u308c\u3089\u306f<a href=\"https:\/\/mathority.org\/ja\/\u8907\u7d20\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8907\u7d20\u6570<\/a>\u306b\u975e\u5e38\u306b\u4f3c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u56db\u5143\u6570\u306f\u30a2\u30ca\u30ed\u30b0\u7684\u306b\u5897\u5e45\u3055\u308c\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u767a\u751f\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u8907\u7d20\u6570\u306f\u865a\u6570\u5358\u4f4d<em>i<\/em>\u306e\u5408\u8a08\u306b\u3088\u308b\u5b9f\u6570\u306e\u62e1\u5f35\u3068\u3057\u3066\u751f\u6210\u3055\u308c\u308b\u305f\u3081\u3001 <em>i \u306e<\/em>2 \u4e57\u306f -1 \u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u6700\u521d\u306e\u30b1\u30fc\u30b9\u3067\u306f\u3001<strong>\u865a\u6570\u5358\u4f4d<\/strong><em>k<\/em> \u3001 <em>i<\/em> \u3001 <em>j<\/em>\u304c\u5b9f\u6570\u306b\u52a0\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u56db\u5143\u6570\u306b\u95a2\u3057\u3066\u306f\u3001 <em>i<\/em> <sup>2<\/sup> = <em>j<\/em> <sup>2<\/sup> = <em>k<\/em> <sup>2<\/sup> = <em>ijk<\/em> = -1 \u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u8868\u73fe\u306f\u3001 <strong>Cayley \u306e\u30c6\u30fc\u30d6\u30eb<\/strong>\u306b\u914d\u7f6e\u3055\u308c\u305f\u3082\u306e\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3053\u306e\u6642\u70b9\u3067\u3001 <em>i<\/em> \u3001 <em>j<\/em> \u3001 <em>k<\/em> \u3001 1 \u304c\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306e 4 \u3064\u306e\u57fa\u672c\u7684\u306a\u67f1\u3067\u3042\u308b\u3053\u3068\u306b\u8a00\u53ca\u3059\u308b\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-table is-style-regular\">\n<table>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00d7<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u3088<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>j<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u4f55<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u3088<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>j<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u4f55<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u3088<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u3088<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">-1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u4f55<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>-j<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> <em>j<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> <em>j<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> <em>-k<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> -1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u3088<\/em><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u4f55<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>\u4f55<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><em>j<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> <em>-\u3088<\/em><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">-1<\/td>\n<\/tr>\n<\/tbody>\n<\/table><figcaption class=\"wp-element-caption\">\u30b1\u30a4\u30ea\u30fc\u306e\u30c6\u30fc\u30d6\u30eb<\/figcaption><\/figure>\n<p>\u30a6\u30a3\u30ea\u30a2\u30e0 \u30cf\u30df\u30eb\u30c8\u30f3\u306f 1843 \u5e74\u306b\u30d9\u30af\u30c8\u30eb\u306e\u4e57\u7b97\u3068\u9664\u7b97\u3001\u56de\u8ee2\u3001\u4f38\u7e2e\u3092\u53ef\u80fd\u306b\u3059\u308b\u65b9\u6cd5\u3068\u3057\u3066\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u3092\u767a\u660e\u3057\u307e\u3057\u305f\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_componen_los_cuaterniones\">\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u3069\u306e\u3088\u3046\u306b\u4f5c\u3089\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b?<\/span><\/h2>\n<p>\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u3001\u5404\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306b<strong>4 \u3064\u306e\u5909\u6570\u304c\u542b\u307e\u308c\u308b<\/strong>\u7f8e\u3057\u3044\u4ee3\u6570\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u5b9f\u969b\u3001\u3053\u308c\u3089\u306f\u30aa\u30a4\u30e9\u30fc \u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u304c\u3001\u30aa\u30a4\u30e9\u30fc\u89d2\u3068\u6df7\u540c\u3057\u306a\u3044\u3067\u304f\u3060\u3055\u3044\u3002\u3053\u308c\u3089\u306e\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306f\u3001\u901a\u5e38\u306e\u6570\u306e\u4ee3\u6570\u3068\u540c\u69d8\u306e\u65b9\u6cd5\u3067\u3001\u5358\u4e00\u306e\u5358\u4f4d\u3068\u3057\u3066\u52a0\u7b97\u304a\u3088\u3073\u4e57\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u9055\u3044\u304c\u3042\u308a\u307e\u3059\u3002\u6570\u5b66\u7528\u8a9e\u3067\u306f\u3001\u56db\u5143\u6570\u306e\u4e57\u7b97\u306f\u53ef\u63db\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306b\u306f 4 \u3064\u306e\u6b21\u5143\u304c\u3042\u308a\u307e\u3059\u3002\u5404\u56db\u5143\u6570<strong>\u306f 4 \u3064\u306e\u30b9\u30ab\u30e9\u30fc\u6570<\/strong>\u3001\u5b9f\u6570\u6b21\u5143\u3068 3 \u3064\u306e\u865a\u6570\u6b21\u5143\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5404\u865a\u6570\u6b21\u5143\u306e\u5358\u4f4d\u5024\u306f -1 \u306e\u5e73\u65b9\u6839\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u3053\u308c\u3089\u306f -1 \u306e\u7570\u306a\u308b\u5e73\u65b9\u6839\u3067\u3042\u308a\u3001\u3059\u3079\u3066\u4e92\u3044\u306b\u76f4\u4ea4\u3057\u3066\u304a\u308a\u3001 <em>i<\/em> \u3001 <em>j<\/em> \u3001 <em>k<\/em>\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u56db\u5143\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> x = (a, b, c, d) \u3068\u66f8\u304d\u307e\u3059\u3002 x = a + bi + cj + dk<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001a\u3001b\u3001c\u3001d \u306f\u5404\u56db\u5143\u6570\u306b\u3088\u3063\u3066\u4e00\u7fa9\u7684\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u5b9f\u6570\u3092\u8868\u3057\u307e\u3059\u3002\u4e00\u65b9\u30011\u3001 <em>i<\/em> \u3001 <em>j<\/em> \u3001 <em>k<\/em>\u306f\u57fa\u672c\u7684\u306a\u6570\u5b57\u3067\u3059\u3002\u30bb\u30c3\u30c8\u3092\u4f7f\u7528\u3057\u3066<strong>\u56db\u5143\u6570\u3092\u8868\u73fe\u3057\u305f\u3044<\/strong>\u5834\u5408\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059: IR <sup>4 \u304c<\/sup>\u30bb\u30c3\u30c8\u3092\u8868\u3059\u3068\u4eee\u5b9a\u3059\u308b\u3068\u3001\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059: IR4= {a + bi + cj + dk: a, b, c, d \u2208 IR}<\/p>\n<p>\u3053\u306e\u30bb\u30c3\u30c8\u306f\u5b9f\u969b\u306e 4 \u6b21\u5143\u7a7a\u9593\u3068\u4e00\u81f4\u3057\u3066\u3044\u307e\u3059\u3002\u5b9f\u6570\u306e\u96c6\u5408\u304c\u4e00\u6b21\u5143\u306b\u5b58\u5728\u3059\u308b\u7a7a\u9593\u306b\u5bfe\u5fdc\u3057\u3001\u8907\u7d20\u6570\u306e\u96c6\u5408\u304c\u4e8c\u6b21\u5143\u306e\u7a7a\u9593\u306b\u5bfe\u5fdc\u3059\u308b\u306e\u3068\u540c\u3058\u3067\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_la_estructura_algebraica_de_los_cuaterniones\">\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306e\u4ee3\u6570\u69cb\u9020\u306f\u4f55\u3067\u3059\u304b?<\/span><\/h2>\n<p>\u56db\u5143\u6570\u306f<strong>\u4e0d\u898f\u5247\u306a\u7269\u4f53<\/strong>\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4f53\u306b\u4f3c\u305f\u4ee3\u6570\u69cb\u9020\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u4e57\u7b97\u3067\u306f\u53ef\u63db\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u305d\u308c\u306f\u4f53\u306e\u3059\u3079\u3066\u306e\u6027\u8cea\u3092\u6e80\u305f\u3057\u307e\u3059\u304c\u3001\u305d\u306e\u7d50\u679c\u306f\u53ef\u63db\u7684\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306e\u4e57\u7b97\u306f\u7d50\u5408\u7684\u3067\u3059\u3002\u3055\u3089\u306b\u3001\u30bc\u30ed\u4ee5\u5916\u306e\u5404\u56db\u5143\u6570\u306b\u306f<strong>\u4e00\u610f\u306e\u9006\u6570<\/strong>\u304c\u3042\u308a\u307e\u3059\u3002\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u3001\u8907\u7d20\u6570\u3068\u6bd4\u3079\u3066\u7d50\u5408\u4ee3\u6570\u3092\u69cb\u6210\u3057\u307e\u305b\u3093\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u8907\u7d20\u6570\u3068\u5b9f\u6570\u304c\u5358\u4f4d\u7a7a\u9593\u307e\u305f\u306f\u500d\u7cbe\u5ea6\u7a7a\u9593\u306e\u30e6\u30fc\u30af\u30ea\u30c3\u30c9 \u30d9\u30af\u30c8\u30eb\u6b21\u5143\u3092\u8868\u3059\u306e\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f 4 \u6b21\u5143\u306e\u30e6\u30fc\u30af\u30ea\u30c3\u30c9 \u30d9\u30af\u30c8\u30eb\u9818\u57df\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_representan_los_cuaterniones_en_matrices\">\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u884c\u5217\u3067\u3069\u306e\u3088\u3046\u306b\u8868\u73fe\u3055\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b?<\/span><\/h2>\n<p>\u884c\u5217<strong>\u8868\u73fe\u3082\u56db\u5143\u6570<\/strong>\u306e\u7279\u5fb4\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u305d\u306e\u8868\u73fe\u306b\u306f\u6570\u5b66\u7684\u306a\u884c\u5217\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u56db\u5143\u6570 p = a + bi + cj + dk \u304c\u3042\u308b\u5834\u5408\u3001\u6b21\u306e\u3088\u3046\u306b\u8907\u7d20\u6570 2 x 2 \u884c\u5217\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u3067\u884c\u5217\u8868\u73fe\u3092\u4f7f\u7528\u3059\u308b\u5225\u306e\u65b9\u6cd5\u306f\u3001<strong>\u5b9f\u6570\u306e 4 x 4 \u884c\u5217<\/strong>\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3055\u3089\u306b\u3001\u884c\u5217\u3092\u4f7f\u7528\u3057\u3066\u56db\u5143\u6570\u3092\u8868\u3059\u3053\u3068\u306b\u3088\u308a\u3001\u56db\u5143\u6570\u3092 2 \u3064\u306e\u30d9\u30af\u30c8\u30eb\u306e\u5185\u7a4d\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u30011 \u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f = (a1, a2, a3, a4) \u3068\u306a\u308a\u3001\u3082\u3046 1 \u3064\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306f {1, <em>i, j, k<\/em> } \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u5b9f\u6570\u6210\u5206\u3092\u751f\u6210\u3059\u308b\u8981\u7d20<sub>\uff41\uff11<\/sub>\u306f\u5225\u9014\u8a18\u8ff0\u3055\u308c\u308b\u3002\u3055\u3089\u306b\u3001\u30b9\u30ab\u30e9\u30fc\u7a4d\u306e\u5834\u5408\u3001 <strong>3 \u3064\u306e\u57fa\u5e95<\/strong><em>i\u3001j\u3001k<\/em>\u306e\u307f\u304c\u8003\u616e\u3055\u308c\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> x = (a1, a) = (a1, a2, a3, a4)<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_operaciones_basicas_se_pueden_hacer_con_cuaterniones\">\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u3092\u4f7f\u7528\u3057\u3066\u3069\u306e\u3088\u3046\u306a\u57fa\u672c\u64cd\u4f5c\u304c\u5b9f\u884c\u3067\u304d\u307e\u3059\u304b?<\/span><\/h2>\n<p>\u3042\u308b\u56db\u5143\u6570\u3068\u5225\u306e\u56db\u5143\u6570\u306e\u9593\u306e\u7a4d\u3092\u52a0\u7b97\u3057\u3066\u53d6\u5f97\u3059\u308b\u306b\u306f\u3001\u8907\u7d20\u6570\u6f14\u7b97\u304c\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001<strong>\u524d\u306e IR <sup>4<\/sup>\u30bb\u30c3\u30c8<\/strong>\u306e\u5834\u5408\u3068\u540c\u3058\u3088\u3046\u306b\u6a5f\u80fd\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4e0a\u8a18\u306e\u30bb\u30c3\u30c8\u3068\u6b8b\u308a\u306e\u64cd\u4f5c\u306b\u3088\u3063\u3066\u3001\u8eab\u4f53\u306e\u3059\u3079\u3066\u306e\u6027\u8cea\u304c\u88dc\u511f\u3055\u308c\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u306e\u552f\u4e00\u306e\u95a2\u9023\u6027\u306f\u3001\u88fd\u54c1\u304c\u4ea4\u63db\u3055\u308c\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u8ffd\u52a0\u306e\u5834\u5408\u306f\u671f\u3054\u3068\u306b\u5b9f\u65bd\u3057\u307e\u3059\u3002\u3044\u305a\u308c\u306e\u5834\u5408\u3082\u3001\u8907\u7d20\u6570\u3068\u540c\u3058\u3088\u3046\u306b\u6a5f\u80fd\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> (a1 + b1i + c1j + d1k) + (a2 + b2i + c2j + d2k) = (a1 + a2) + (b1 + b2)i + (c1 + c2)j + (d1 + d2)k\u3002<\/p>\n<p>\u88fd\u54c1\u306e\u5834\u5408\u3001<strong>\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304b\u3089\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306b<\/strong>\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> ab = (a1b1 \u2013 a2b2 \u2013 a3b3 \u2013 a4b4) + (a1b2 + a2b1 + a3b4 \u2013 a4b3)i + (a1b3 \u2013 a2b4 + a3b1 \u2013 a4b2)j + (a1b4 + a2b3 \u2013 a3b2 + a4b3)k<\/p>\n<p>\u4ee5\u524d\u306b\u3059\u3067\u306b\u6307\u6458\u3057\u305f\u3088\u3046\u306b\u3001\u56db\u5143\u6570\u306e\u7a4d\u306f\u6c7a\u3057\u3066\u53ef\u63db\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u9006\u306b\u3001<strong>\u305d\u308c\u306f\u5e38\u306b\u9023\u60f3\u7684\u3067\u3059<\/strong>\u3002\u524d\u306b\u8a73\u3057\u304f\u8aac\u660e\u3057\u305f\u64cd\u4f5c\u306f\u3001\u8868\u73fe\u3092\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_aplicaciones_tienen_los_cuaterniones\">\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306e\u7528\u9014\u306f\u4f55\u3067\u3059\u304b?<\/span><\/h2>\n<p>\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u6570\u5b66\u7684\u306a\u7814\u7a76\u3092\u306f\u308b\u304b\u306b\u8d85\u3048\u3066\u3044\u307e\u3059\u3002\u73fe\u5728\u3001\u3055\u307e\u3056\u307e\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u958b\u767a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u307e\u305a\u3001\u3053\u308c\u3089\u306f<strong>\u6570\u8ad6<\/strong>\u306e\u7b54\u3048\u3092\u691c\u8a3c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u4f8b\u3068\u3057\u3066\u306f\u3001\u4efb\u610f\u306e\u81ea\u7136\u6570\u306f 4 \u3064\u306e\u5b8c\u5168\u5e73\u65b9\u306e\u548c\u3068\u3057\u3066\u8868\u73fe\u3055\u308c\u308b\u3068\u3044\u3046\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u5b9a\u7406\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u3001\u7269\u7406\u5b66\u306e\u5206\u91ce\u3067\u3082\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u56db\u5143\u6570\u306f\u3001\u91cf\u5b50\u529b\u5b66\u3001\u96fb\u78c1\u6c17\u5b66\u306a\u3069\u306b\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8a9e\u6e90\u7684\u306b\u306f\u3001\u56db\u5143\u6570\u307e\u305f\u306f\u56db\u5143\u6570\u306f\u30e9\u30c6\u30f3\u8a9e\u306equaterni\u306b\u7531\u6765\u3057\u307e\u3059\u3002\u30b9\u30da\u30a4\u30f3\u8a9e\u3067\u306f\u3001\u3053\u306e\u8a00\u8449\u306f\u300c4\u6642\u307e\u3067\u306b\u300d\u3068\u3044\u3046\u610f\u5473\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u306e\u89e3\u91c8\u306f\u300c4\u3064\u306e\u8981\u7d20\u306e\u6570\u300d\u3092\u610f\u5473\u3057\u307e\u3059\u3002 \u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u306f\u3001\u30a6\u30a3\u30ea\u30a2\u30e0 \u30ed\u30fc &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%9b%9b%e5%85%83%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u30af\u30a9\u30fc\u30bf\u30cb\u30aa\u30f3\u3068\u306f\u4f55\u3067\u3059\u304b?<\/span> \u3082\u3063\u3068\u8aad\u3080 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9],"tags":[],"class_list":["post-161","post","type-post","status-publish","format-standard","hentry","category-9"],"yoast_head":"<!-- This site is optimized 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