{"id":96877,"date":"2023-12-02T11:00:13","date_gmt":"2023-12-02T11:00:13","guid":{"rendered":"https:\/\/science-hub.click\/%E8%A4%87%E7%B4%A0%E6%95%B0%E3%81%AE%E6%A0%B9%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2023-12-02T11:00:13","modified_gmt":"2023-12-02T11:00:13","slug":"%E8%A4%87%E7%B4%A0%E6%95%B0%E3%81%AE%E6%A0%B9%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=96877","title":{"rendered":"\u8907\u7d20\u6570\u306e\u6839\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p><b>\u8907\u7d20\u6570<\/b><i>z<\/i>\u306e\u5e73\u65b9\u6839\u306f\u3001 <i>w<\/i> <sup>2<\/sup> = <i>z \u3092<\/i>\u6e80\u305f\u3059\u8907\u7d20\u6570<i>w<\/i>\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u8907\u7d20\u6570\u306b\u306f\u30010 \u3092\u9664\u304f 2 \u3064\u306e\u7570\u306a\u308b\u5e73\u65b9\u6839\u304c\u3042\u308a\u3001\u5e73\u65b9\u6839\u306f 0 \u3060\u3051\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001-1 \u306e 2 \u3064\u306e\u5e73\u65b9\u6839\u306f<b>i<\/b>\u3068<b>-i<\/b>\u3067\u3059\u3002\u3053\u3053\u3067\u3001 <b>i<\/b>\u306f<span><a href=\"https:\/\/science-hub.click\/?p=75213\">\u865a\u6570\u5358\u4f4d<\/a><\/span>\u3067\u3059\u3002\u3088\u308a\u4e00\u822c\u7684\u306b\u306f\u3001 <i>z<\/i>\u306e<b>n \u4e57\u6839\u306f<\/b>\u3001 <i>w<\/i> <sup><i>n<\/i><\/sup> = <i>z \u3092<\/i>\u6e80\u305f\u3059<span><a href=\"https:\/\/science-hub.click\/?p=94201\">\u8907\u7d20\u6570<\/a><\/span><i>w<\/i>\u3067\u3059\u3002 0 \u3092\u9664\u3051\u3070\u3001<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u3042\u3089\u3086\u308b<\/a><\/span><span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u8907\u7d20\u6570\u306b<\/a><\/span>\u306f\u3001\u6b63\u78ba\u306b<i>n<\/i>\u500b\u306e\u7570\u306a\u308b<i>n<\/i>\u4e57\u6839\u304c\u8a8d\u3081\u3089\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001 <div class=\"math-formual notranslate\">$$ {j=(1+\\mathbf{i}\\sqrt{3})\/2} $$<\/div> -1 \u306e 3 \u756a\u76ee\u306e\u6839\u3067\u3059\u3002<\/p><p>\u30e6\u30cb\u30c3\u30c8 1 \u306e<i>n<\/i>\u4e57\u6839\u306f\u3001\u6b21\u6570<i>n<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=49647\">\u5de1\u56de\u7fa4<\/a><\/span>\u3067\u3042\u308b U <sub><i>n<\/i><\/sub>\u3067\u793a\u3055\u308c\u308b\u7a4d\u306e\u7fa4\u3092\u5f62\u6210\u3057\u307e\u3059\u3002<\/p><p> <b>C<\/b>\u3067\u306f<span><a href=\"https:\/\/science-hub.click\/?p=93175\">\u5e73\u65b9\u6839<\/a><\/span>\u3092\u9023\u7d9a\u7684\u306b\u6c42\u3081\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3088\u308a\u6b63\u78ba\u306b\u8a00\u3048\u3070\u3001\u7d99\u7d9a\u7684\u306a\u9069\u7528\u306f\u3042\u308a\u307e\u305b\u3093<div class=\"math-formual notranslate\">$$ {f:\\mathbf{C}\\rightarrow \\mathbf{C}} $$<\/div> <i>f<\/i> ( <i>z<\/i> ) <sup>2<\/sup> = <i>z<\/i>\u3068\u306a\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u8907\u7d20\u6570\u306e\u6839\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/XUcX3rCtF6s\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u6570\u5f0f<\/h2><dl><dt> <span><a href=\"https:\/\/science-hub.click\/?p=34348\">\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19<\/a><\/span>\u306e\u5e73\u65b9\u6839\u3002<\/dt><\/dl><dl><dt><span><a href=\"https:\/\/science-hub.click\/?p=46448\">\u6975\u5ea7\u6a19<\/a><\/span>\u306e<i>k<\/i>\u4e57\u6839\u3002<\/dt><\/dl><p>\u6975\u5ea7\u6a19\u3067\u306f\u3001\u8907\u7d20\u6570\u306f<span><i>z<\/i> = <i>r<\/i> <i>e<\/i> <sup><i>i<\/i> \u03b8<\/sup><\/span>\u3068\u66f8\u304d\u307e\u3059\u3002\u3053\u3053\u3067\u3001 <i>r<\/i>\u306f\u6b63\u3067\u3059\u3002 <i>z<\/i>\u304c\u30bc\u30ed\u4ee5\u5916\u306e\u5834\u5408\u3001 <i>r \u306f<\/i>\u6b63\u306b\u306a\u308a\u307e\u3059\u3002 <i>z<\/i>\u306e<i>k<\/i>\u4e57\u6839\u306f\u3001 <i>w<\/i> <sup><i>k<\/i><\/sup> = <i>z<\/i>\u3068\u306a\u308b\u8907\u7d20\u6570<i>w<\/i>\u3067\u3059\u3002\u6570\u306f<i>k<\/i>\u3042\u308a\u3001\u6b21\u306e\u5f0f\u3067\u660e\u793a\u7684\u306b\u4e0e\u3048\u3089\u308c\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {w=\\sqrt[k]{r}e^{i\\theta\/k}e^{2i\\pi q\/k}} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {q=0,\\dots, k-1} $$<\/div> \u3002<\/dd><\/dl><p> k=2 \u306e\u5834\u5408\u3001\u5e73\u65b9\u6839\u306e\u8aac\u660e\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u3053\u306e\u691c\u8a3c\u306f<span><a href=\"https:\/\/science-hub.click\/?p=11582\">\u3001\u30c9\u30a5 \u30e2\u30a2\u30d6\u30eb<\/a><\/span>\u306e\u516c\u5f0f\u3092\u5fdc\u7528\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p><dl><dt><\/dt><dd><dl><dd><\/dd><\/dl><\/dd><dd><\/dd><\/dl><h2>\u56e3\u7d50\u306e\u6839\u5e79<\/h2><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/kWjbAs9KumI\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u5358\u4f4d<span><a href=\"https:\/\/science-hub.click\/?p=69721\">\u5186<\/a><\/span>\u4e0a\u306b\u4f4d\u7f6e\u3059\u308b\u5358\u4f4d\u306e 12 \u4e57\u6839\u3002<\/div><\/div><\/div><p>\u5358\u4f4d 1 \u306e<i>k<\/i>\u4e57\u6839\u306f\u3001<b>\u30c9 \u30e2\u30a2\u30d6\u30eb\u6570<\/b>\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002 1 \u306e<i>n<\/i>\u4e57\u6839\u3068 1 \u306e<i>k<\/i>\u4e57\u6839\u306e\u7a4d\u306f\u30011 \u306e<i>r<\/i>\u4e57\u6839\u3067\u3059\u3002\u3053\u3053\u3067\u3001 <span><i>r<\/i> = <i>p<\/i> <i>g<\/i> <i>c<\/i> <i>d<\/i> ( <i>k<\/i> , <i>n<\/i> )<\/span>\u3067\u3059\u3002\u7279\u306b\u30011 \u306e<i>k<\/i>\u4e57\u6839\u306e<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u96c6\u5408<\/a><\/span><span><i>U<\/i> <sub><i>k \u306f<\/i><\/sub><\/span>\u8907\u7d20<span><a href=\"https:\/\/science-hub.click\/?p=57404\">\u4e57\u7b97<\/a><\/span>\u306b\u3088\u3063\u3066\u5b89\u5b9a\u3057\u307e\u3059\u3002\u305d\u308c\u306f<span><a href=\"https:\/\/science-hub.click\/?p=70227\">\u6709\u9650\u306e\u96c6\u56e3<\/a><\/span>\u3067\u3059\u3002 1 \u306e<i>k<\/i>\u4e57\u6839\u306f\u6b21\u306e\u3088\u3046\u306b\u66f8\u304b\u308c\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\exp\\left[2i\\pi\\frac{q}{k}\\right]} $$<\/div>\u307e\u305f\u306f<div class=\"math-formual notranslate\">$$ {q=0,\\dots, k-1} $$<\/div> \u3002<\/dd><\/dl><p>\u7fa4<span><i>U<\/i> <sub><i>k \u306f<\/i><\/sub><\/span>\u5de1\u56de\u3067\u3042\u308a\u3001\u305d\u306e\u751f\u6210\u5b50\u306f 1 \u306e<b>\u539f\u59cb\u6839<\/b>\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p><p>\u5358\u4f4d\u306e\u3059\u3079\u3066\u306e k \u4e57\u6839\u306f\u5358\u4f4d\u5186\u4e0a\u306b\u4f4d\u7f6e\u3057\u3001\u63a5\u8f9e 1 \u3092\u6301\u3064\u9802\u70b9\u3092\u6301\u3064<span><a href=\"https:\/\/science-hub.click\/?p=54751\">\u6b63 k \u8fba\u591a\u89d2\u5f62<\/a><\/span>\u306e\u9802\u70b9\u3067\u3059\u3002<\/p><h2>\u5b58\u5728<\/h2><p>\u4e0a\u8a18\u306e\u5f0f\u306f\u3001\u5e73\u65b9\u6839\u3068 1 \u306e<i>k<\/i>\u4e57\u6839\u306e\u5b58\u5728\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u305d\u308c\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001 <i>k<\/i>\u4e57\u6839\u306e\u516c\u5f0f\u306f\u8907\u7d20<span><a href=\"https:\/\/science-hub.click\/?p=37668\">\u6307\u6570<\/a><\/span>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=74671\">\u5b9a\u7fa9<\/a><\/span>\u3068 de Moivre \u306e\u516c\u5f0f\u306b\u4f9d\u5b58\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306f\u6574\u6570\u30b7\u30ea\u30fc\u30ba\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u304a\u308a\u3001\u6574\u6570\u95a2\u6570\u306e\u4f8b\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u8907\u96d1\u306a\u5206\u6790\u304c\u6697\u9ed9\u7684\u306b\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p><h3><span><span><a href=\"https:\/\/science-hub.click\/?p=26454\">\u4ee3\u6570\u5b66<\/a><\/span>\u306e\u57fa\u672c<span>\u5b9a\u7406<\/span><\/span><\/h3><div><div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/Un_CMeua_ms\/0.jpg\" style=\"width:100%;\"\/><\/figure><div><span><a href=\"https:\/\/science-hub.click\/?p=42071\">\u30ab\u30fc\u30eb\u30fb\u30d5\u30ea\u30fc\u30c9\u30ea\u30d2\u30fb\u30ac\u30a6\u30b9\u3001<\/a><\/span>\u57fa\u672c\u5b9a\u7406\u306e\u6700\u521d\u306e\u53b3\u5bc6\u306a\u8a3c\u660e\u306f\u5f7c\u306b\u8ca0\u3046<\/div><\/div><\/div><p>\u4ee3\u6570\u306e\u57fa\u672c\u5b9a\u7406\u3092\u3053\u3053\u306b\u9069\u7528\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u30bc\u30ed\u4ee5\u5916\u306e\u8907\u7d20\u6570\u306b\u306f\u6b63\u78ba\u306b<i>k<\/i>\u500b\u306e\u7570\u306a\u308b\u8907\u7d20\u6839\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p><dl><dt><\/dt><dd><\/dd><dd><\/dd><\/dl><p>\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306b\u306f\u591a\u304f\u306e\u8a3c\u660e\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u90e8\u306f\u5c02\u7528\u306e\u8a18\u4e8b\u3067\u8a73\u3057\u304f\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u307b\u3068\u3093\u3069\u306e\u5834\u5408\u3001<span><a href=\"https:\/\/science-hub.click\/?p=76523\">\u30c8\u30dd\u30ed\u30b8<\/a><\/span>\u3068\u5206\u6790\u30c4\u30fc\u30eb\u3001\u3055\u3089\u306b\u306f\u8907\u96d1\u306a\u5206\u6790\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u30c9\u30fb\u30e2\u30a2\u30d6\u30eb\u306e\u516c\u5f0f\u3092\u907f\u3051\u308b\u305f\u3081\u306b\u305d\u308c\u3092\u3053\u3053\u306b\u9069\u7528\u3059\u308b\u3053\u3068\u306f\u3001\u4ee3\u6570\u306e\u307f\u3092\u4f7f\u7528\u3059\u308b\u8a3c\u660e\u304c\u3042\u308b\u5834\u5408\u306b\u306e\u307f<span><a href=\"https:\/\/science-hub.click\/?p=81037\">\u610f\u5473\u3092<\/a><\/span>\u6301\u3061\u307e\u3059\u3002<span title=\"\u3053\u306e\u4e00\u7bc0\u306b\u306f\u53c2\u7167\u304c\u5fc5\u8981\u3067\u3059\u3002\">\u3053\u306e\u3088\u3046\u306a<span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u5b9f\u8a3c\u306f\u3001<\/a><\/span> 1795 \u5e74\u306b\u30e9\u30d7\u30e9\u30b9\u306b\u3088\u3063\u3066\u63d0\u793a\u3055\u308c\u305f\u30a2\u30a4\u30c7\u30a2\u3092\u4fee\u6b63\u3059\u308b\u3082\u306e\u3067\u30011952 \u5e74\u306b<span><a href=\"https:\/\/science-hub.click\/?p=22010\">\u30cb\u30b3\u30e9 \u30d6\u30eb\u30d0\u30ad<\/a><\/span>\u96c6\u56e3\u306b\u3088\u3063\u3066\u767a\u8868\u3055\u308c\u307e\u3057\u305f<\/span>\u3002<\/p><p>\u30c0\u30e9\u30f3\u30d9\u30fc\u30eb\u3068\u30a2\u30eb\u30ac\u30f3\u306b\u5e30\u305b\u3089\u308c\u308b\u8a3c\u62e0\u3092\u3053\u3053\u3067\u4f7f\u7528\u3059\u308b\u3053\u3068\u306f\u7121\u52b9\u3067\u3059\u3002\u3053\u306e\u8a3c\u660e\u306f\u5b9f\u969b\u306b 1941 \u5e74\u306b\u30ea\u30c8\u30eb\u30a6\u30c3\u30c9\u306b\u3088\u3063\u3066\u5b8c\u6210\u3055\u308c\u3001\u8907\u7d20\u6570\u306e<i>k<\/i>\u4e57\u6839\u306e\u69cb\u7bc9\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u69cb\u7bc9\u3067\u306f de Moivre \u516c\u5f0f\u3092\u4f7f\u7528\u3059\u3079\u304d\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p><h3><span>\u30ea\u30c8\u30eb\u30a6\u30c3\u30c9\u306e\u88dc\u984c<\/span><\/h3><p><span title=\"\u3053\u306e\u4e00\u7bc0\u306b\u3064\u3044\u3066\u306f\u30bd\u30fc\u30b9\u304c\u5fc5\u8981\u3067\u3059\u3002\">1941 \u5e74\u306b\u30ea\u30c8\u30eb\u30a6\u30c3\u30c9\u306b\u3088\u3063\u3066\u63d0\u6848\u3055\u308c\u305f\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306e\u8a3c\u660e<\/span><sup>[ <abbr class=\"abbr\" title=\"\u53c2\u7167\">ref.<\/abbr> [desired]<\/sup>\u306f\u57fa\u672c\u7684\u306b d&#8217;Alembert \u306b\u3088\u3063\u3066<span><a href=\"https:\/\/science-hub.click\/?p=25552\">\u4e0e\u3048\u3089\u308c<\/a><\/span>\u3001Argand \u3068 Cauchy \u306b\u3088\u3063\u3066\u4fee\u6b63\u3055\u308c\u305f\u3082\u306e\u3067\u3059\u304c\u3001\u5404\u8907\u7d20\u6570\u306b\u5bfe\u3057\u3066\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e<i>k<\/i>\u4e57\u6839\u304c\u5b58\u5728\u3059\u308b\u3068\u3044\u3046\u88dc\u984c\u306b\u304a\u3044\u3066\u3001\u30c9 \u30e2\u30a2\u30d6\u30eb\u306e\u516c\u5f0f\u306e\u4f7f\u7528\u3092\u907f\u3051\u3066\u3044\u308b\u70b9\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b21\u306e\u5b9a\u7fa9\u306b\u4f9d\u5b58\u3057\u3066\u3044\u307e\u3059\u3002 <b>R<\/b> <sub>+<\/sub>\u4e0a\u306e\u30eb\u30fc\u30c8\u306e\u4e00\u90e8\u3092\u4f5c\u6210\u3057\u3001\u5c11\u3057\u306e\u30c8\u30dd\u30ed\u30b8\u30fc\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p><ul><li>\u307e\u305a\u3001 <i>k<\/i>\u304c<i>\u5947\u6570<\/i>\u306e\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u975e\u30bc\u30ed\u8907\u7d20\u6570<i>z \u304c<\/i>\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e<i>k<\/i>\u4e57\u6839\u3092\u6301\u3064\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5 (\u57fa\u672c\u5b9a\u7406\u306e\u8a3c\u660e\u306b\u95a2\u3059\u308b Cauchy \u306e\u65b9\u6cd5\u306b\u985e\u4f3c) \u306f\u3001 <span><i>Q<\/i> ( <i>X<\/i> ) = <i>X<\/i> <sup><i>k<\/i><\/sup> \u2212 <i>z<\/i><\/span>\u3092\u8a2d\u5b9a\u3057\u3001\u6b21\u306e\u6700\u5c0f\u5024\u3092\u5b9f\u73fe\u3059\u308b\u8907\u7d20\u6570<i>w \u3092<\/i>\u9078\u629e\u3059\u308b\u3053\u3068\u3067\u3059<span>\u3002 <i>Q<\/i> ( <i>w<\/i> ) |<\/span><span><a href=\"https:\/\/science-hub.click\/?p=46336\">\u8907\u7d20\u5e73\u9762<\/a><\/span>\u4e0a\u3067\u3001 <span><i>Q<\/i> ( <i>w<\/i> ) = 0 \u3067<\/span>\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<ul><li>\u307e\u305a\u3001 <i>w<\/i>\u304c\u30bc\u30ed\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001 <span><i>u<\/i> <sub>0<\/sub> = <i>z<\/i> \/ | \u3092<\/span>\u8a2d\u5b9a\u3057\u307e\u3059\u3002 <span><i>z<\/i> |<\/span> (\u3053\u308c\u306f\u30e2\u30b8\u30e5\u30fc\u30eb 1 \u306e\u8907\u7d20\u6570\u3067\u3059)\u3001 <span>|<\/span>\u3068\u306a\u308b\u3088\u3046\u306b 1\u3001-1\u3001i\u3001\u304a\u3088\u3073 -i \u304b\u3089<i>u \u3092<\/i>\u9078\u629e\u3057\u307e\u3059\u3002 <span><i>u<\/i> \u2212 <i>u<\/i> <sub>0<\/sub> | &lt; 1 \u3067\u3042\u308a<\/span>\u3001 <i>v<\/i> = <i><sup>uk<\/sup><\/i>\u3068\u8a2d\u5b9a\u3057\u307e\u3059\u3002\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {v^k=u^{(k^2)}=u} $$<\/div> ( <i>u<\/i> <sup>4<\/sup> =1 \u3067\u3042\u308a\u3001 <i>k<\/i> <sup>2 \u306f<\/sup>1 \u3092<span><a href=\"https:\/\/science-hub.click\/?p=28224\">\u6cd5\u3068\u3059\u308b<\/a><\/span>4 \u306b\u5408\u540c\u3067\u3042\u308b\u305f\u3081)\u3002\u305d\u308c\u304b\u3089\u30dd\u30fc\u30ba\u3092\u3068\u308a\u307e\u3059<div class=\"math-formual notranslate\">$$ {y=\\sqrt[k]{|z|}v} $$<\/div> \u3002\u6b21\u306b |Q( <i>y<\/i> )|=||z| <i>u<\/i> &#8211; <i>z<\/i> |&lt;|z|=|Q(0)| \u3057\u305f\u304c\u3063\u3066\u3001\u6700\u5c0f\u5024\u304c\u9054\u6210\u3055\u308c\u308b\u306e\u306f 0 \u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3064\u307e\u308a\u3001 <i>w \u306f<\/i>\u78ba\u304b\u306b\u30bc\u30ed\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li><li>\u6b21\u306b\u3001 <span><i>Q<\/i> ( <i>w<\/i> ) = 0<\/span>\u3067\u3042\u308b\u3068\u63a8\u5b9a\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u7279\u5b9a\u306e<span><a href=\"https:\/\/science-hub.click\/?p=35323\">\u591a\u9805\u5f0f<\/a><\/span><i>R<\/i>\u306b\u5bfe\u3057\u3066<span><i>Q<\/i> ( <i>w<\/i> + <i>h<\/i> ) = ( <i>w<\/i> <sup><i>k<\/i><\/sup> \u2212 <i>z<\/i> ) + <i>k<\/i> <i>w<\/i> <sup><i>k<\/i> \u2212 1<\/sup> <i>h<\/i> + <i>h<\/i> <sup>2<\/sup> <i>R<\/i> ( <i>h<\/i> )<\/span>\u3068\u66f8\u304d\u307e\u3059\u3002\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {|h|\\le 1} $$<\/div> \u3001 \u6211\u3005\u306f\u6301\u3063\u3066\u3044\u307e\u3059<div class=\"math-formual notranslate\">$$ {|h^2R(h)|\\le\\alpha |h|^2} $$<\/div>\u3053\u3053\u3067\u3001\u03b1 \u306f<i>R<\/i>\u306e\u4fc2\u6570\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u5408\u8a08\u3067\u3059\u3002\u306e\u305f\u3081\u306b<div class=\"math-formual notranslate\">$$ {h=-t\\frac{w^k-z}{kw^{k-1}}} $$<\/div> 0\u4ed8\u304d<div class=\"math-formual notranslate\">$$ {|Q(w)|\\le|Q(w+h)|\\le(1-t)|Q(w)|+\\beta t^2} $$<\/div><\/li><\/ul><\/li><li>\u6b21\u306b\u3001\u305d\u306e 2 \u5024\u3001\u3064\u307e\u308a<i>k<\/i>\u304c 2 <sup><i>r<\/i><\/sup>\u3067\u5272\u308a\u5207\u308c\u308b\u6700\u5927\u306e\u6574\u6570<i>r<\/i>\u306b\u95a2\u3059\u308b\u5e30\u7d0d\u6cd5\u306b\u3088\u3063\u3066\u3001\u524d\u306e\u7d50\u679c\u3092\u4efb\u610f\u306e\u6574\u6570<i>k<\/i> &gt; 0 \u306b\u62e1\u5f35\u3057\u307e\u3059\u3002<ul><li>\u30b1\u30fc\u30b9<i>r<\/i> =0 \u306f\u3001\u3059\u3067\u306b\u898b\u305f\u5947\u6570<i>k \u306e<\/i>\u30b1\u30fc\u30b9\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/li><li>\u6f38\u5316\u5f0f\u30b9\u30c6\u30c3\u30d7\u306f\u3001 <i>k<\/i> =2 <i>q<\/i>\u306e\u5834\u5408\u3001\u304a\u3088\u3073<i>w \u304c<\/i><i>z<\/i>\u306e 2 \u3064\u306e\u5e73\u65b9\u6839 (\u30c7\u30ab\u30eb\u30c8\u5ea7\u6a19\u306e\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u308b) \u306e 1 \u3064\u3067\u3042\u308b\u5834\u5408\u3001 <i>w<\/i>\u306e<i>q<\/i>\u4e57\u6839\u306f<i>z<\/i>\u306e<i>k<\/i>\u4e57\u6839\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3059\u3002<\/li><\/ul><\/li><\/ul><p>\u3053\u306e\u88dc\u984c (\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e<i>k<\/i>\u4e57\u6839\u306e\u5b58\u5728) \u304c\u78ba\u7acb\u3055\u308c\u308b\u3068\u3001\u30c0\u30e9\u30f3\u30d9\u30fc\u30eb\u306b\u3088\u3063\u3066<span>\u4e0e\u3048\u3089\u308c<\/span>\u3001\u30a2\u30eb\u30ac\u30f3\u3068\u30b3\u30fc\u30b7\u30fc\u306b\u3088\u3063\u3066\u4fee\u6b63\u3055\u308c\u305f\u3082\u306e\u3068\u540c\u3058\u65b9\u6cd5\u3067\u3001\u4ee3\u6570\u5b66\u306e\u57fa\u672c\u5b9a\u7406\u306e\u8a3c\u660e\u304c\u7d9a\u3051\u3089\u308c\u307e\u3059\u3002\u6b21\u306b\u3001\u3053\u306e\u5b9a\u7406 (<i>\u4e0a\u8a18\u3092\u53c2\u7167<\/i>) \u304b\u3089\u3001\u30bc\u30ed\u4ee5\u5916\u306e\u8907\u7d20\u6570\u306f\u6b63\u78ba\u306b<i>k<\/i> <i>k<\/i>\u4e57\u756a\u76ee\u306e\u8907\u7d20\u6839\u3092\u8a31\u5bb9\u3059\u308b\u3068\u63a8\u8ad6\u3057\u307e\u3059\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/br.wikipedia.org\/wiki\/Racine\">Racine \u2013 breton<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Racine\">Racine \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ceb.wikipedia.org\/wiki\/Racine\">Racine \u2013 cebuano<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/da.wikipedia.org\/wiki\/Racine\">Racine \u2013 danois<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Racine\">Racine \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Racine_(disambiguation)\">Racine (disambiguation) \u2013 anglais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u8907\u7d20\u6570\u306e\u6839\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u8907\u7d20\u6570\u5e73\u9762\u3067\uff11\u306e\uff4e\u4e57\u6839\u3092\u89e3\u8aac #\u52c9\u5f37 #\u6570\u5b66 #\u7406\u7cfb #shorts\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/6JUgmF8VbPs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u8907\u7d20\u6570z\u306e\u5e73\u65b9\u6839\u306f\u3001 w 2 = z \u3092\u6e80\u305f\u3059\u8907\u7d20\u6570w\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u8907\u7d20\u6570\u306b\u306f\u30010 \u3092\u9664\u304f 2 \u3064\u306e\u7570\u306a\u308b\u5e73\u65b9\u6839\u304c\u3042\u308a\u3001\u5e73\u65b9\u6839\u306f 0 \u3060\u3051\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001-1 \u306e 2 \u3064\u306e\u5e73\u65b9\u6839\u306fi\u3068-i\u3067\u3059\u3002\u3053\u3053\u3067\u3001 i\u306f\u865a\u6570\u5358 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":96878,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/IQaYyFboK48\/0.jpg","fifu_image_alt":"\u8907\u7d20\u6570\u306e\u6839\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,14,10,85152,12,8,11643,1460,16,2151,15,9],"class_list":["post-96877","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-news","tag-actualite","tag-manutention-ferroviaire-en-france","tag-dossier","tag-definition","tag-racine","tag-nombre","tag-sciences","tag-complexe","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/96877"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=96877"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/96877\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/96878"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=96877"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=96877"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=96877"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}