{"id":32918,"date":"2024-04-12T17:56:06","date_gmt":"2024-04-12T17:56:06","guid":{"rendered":"https:\/\/science-hub.click\/%E3%82%A8%E3%82%A4%E3%82%BC%E3%83%B3%E3%82%B7%E3%83%A5%E3%82%BF%E3%82%A4%E3%83%B3%E5%9F%BA%E6%BA%96-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-04-12T17:56:06","modified_gmt":"2024-04-12T17:56:06","slug":"%E3%82%A8%E3%82%A4%E3%82%BC%E3%83%B3%E3%82%B7%E3%83%A5%E3%82%BF%E3%82%A4%E3%83%B3%E5%9F%BA%E6%BA%96-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=32918","title":{"rendered":"\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><p>\u6570\u5b66\u3067\u306f\u3001<strong>\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96\u306f\u3001<\/strong>\u591a\u9805\u5f0f\u304c\u65e2\u7d04\u3067\u3042\u308b\u305f\u3081\u306e\u5341\u5206\u306a\u6761\u4ef6\u3092\u4e0e\u3048\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb{Q}\\,} $$<\/div> \uff08\u307e\u305f\u306f\u540c\u3058\u9084\u5143\u4e0d\u53ef\u80fd\u306a\u65b9\u6cd5\u3067\uff09 <div class=\"math-formual notranslate\">$$ {\\mathbb{Z}\\,} $$<\/div> \uff09\u3002<\/p><p>\u6574\u6570\u4fc2\u6570\u3092\u3082\u3064\u6b21\u306e\u591a\u9805\u5f0f\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {P(x)=a_nx^n+a_{n-1}x^{n-1}+\\ldots+a_1x+a_0\\,} $$<\/div><\/dd><\/dl><p><span><a href=\"https:\/\/science-hub.click\/?p=16478\">\u7d20\u6570<\/a><\/span>\u304c\u3042\u308b\u3068\u3057\u307e\u3059<div class=\"math-formual notranslate\">$$ {p\\,} $$<\/div>\u306e\u3088\u3046\u306a<\/p><ul><li><div class=\"math-formual notranslate\">$$ {p\\,} $$<\/div>\u305d\u308c\u305e\u308c\u5206\u3051\u308b<div class=\"math-formual notranslate\">$$ {a_i\\,} $$<\/div>\u3092\u9664\u5916\u3059\u308b<div class=\"math-formual notranslate\">$$ {a_n\\,} $$<\/div> \u3001 <\/li><li><div class=\"math-formual notranslate\">$$ {p^2\\,} $$<\/div>\u5206\u3051\u306a\u3044\u3067\u304f\u3060\u3055\u3044<div class=\"math-formual notranslate\">$$ {a_0\\,} $$<\/div><\/li><\/ul><p>\u305d\u308c\u3067<div class=\"math-formual notranslate\">$$ {P(x)\\,} $$<\/div>\u9084\u5143\u4e0d\u53ef\u80fd\u3067\u3059\u3002<\/p><h2><span>\u4f8b<\/span><\/h2><p><span><a href=\"https:\/\/science-hub.click\/?p=35323\">\u591a\u9805\u5f0f<\/a><\/span>\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046<div class=\"math-formual notranslate\">$$ {P(x) = 3x^4 + 15x^2 + 10\\,} $$<\/div> \u3002<\/p><p>\u306e\u5024\u306b\u3064\u3044\u3066\u3055\u307e\u3056\u307e\u306a\u30b1\u30fc\u30b9\u3092\u691c\u8a0e\u3057\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {p\\,} $$<\/div>\u7d9a\u304f<\/p><ul><li><i>p<\/i> = 2<br\/> 2 \u306f 15 \u3092\u5272\u3089\u306a\u3044\u306e\u3067\u7d50\u8ad6\u306f\u51fa\u305b\u307e\u305b\u3093<\/li><li><i>p<\/i> = 3<br\/> 3 \u306f 10 \u3092\u5272\u3089\u306a\u3044\u306e\u3067\u7d50\u8ad6\u306f\u51fa\u305b\u307e\u305b\u3093<\/li><li><i>p<\/i> = 5<br\/> 5 \u306f\u3001 <i>x<\/i> <sup>2<\/sup>\u306e\u4fc2\u6570\u3067\u3042\u308b 15 \u3092\u9664\u7b97\u3057\u3001\u5b9a\u6570\u4fc2\u6570\u3067\u3042\u308b 10 \u3092\u9664\u7b97\u3057\u307e\u3059\u3002 5 \u306f\u652f\u914d\u7684\u306a\u4fc2\u6570\u3067\u3042\u308b 3 \u3092\u9664\u7b97\u3057\u307e\u305b\u3093\u3002\u307e\u305f\u300125 = 5 <sup>2<\/sup>\u306f 10 \u3092\u5272\u308a\u307e\u305b\u3093\u3002<br\/>\u3057\u305f\u304c\u3063\u3066\u3001\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u306e\u57fa\u6e96\u306e\u304a\u304b\u3052\u3067\u3001 <i>P<\/i> ( <i>x<\/i> ) \u306f\u65e2\u7d04\u3067\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/li><\/ul><p>\u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=71097\">\u7d20\u6570<\/a><\/span>\u306e\u9078\u629e\u304c\u660e\u78ba\u3067\u306f\u306a\u3044\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u304c\u3001<i>\u5909\u63db<\/i>\u3068\u547c\u3070\u308c\u308b<i>y<\/i> = <i>x<\/i> + <i>a<\/i>\u5f62\u5f0f\u306e<span><a href=\"https:\/\/science-hub.click\/?p=72623\">\u5909\u6570<\/a><\/span>\u3092\u5909\u66f4\u3059\u308b\u3053\u3068\u3067\u5bb9\u6613\u306b\u9078\u629e\u3067\u304d\u307e\u3059\u3002<\/p><p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u3088\u3046\u306b\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046<div class=\"math-formual notranslate\">$$ {h(x)=x^2 + x + 2\\,} $$<\/div> \u3002 <i>x<\/i>\u306e\u4fc2\u6570\u3067\u3042\u308b 1 \u3092\u9664\u7b97\u3059\u308b\u7d20\u6570\u306f\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u57fa\u6e96\u306e\u9069\u7528\u306f\u5371\u967a\u306b\u3055\u3089\u3055\u308c\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u307e\u3059\u3002\u3057\u304b\u3057\u3001 <i>h<\/i> ( <i>x<\/i> ) \u3092\u6b21\u306e\u3088\u3046\u306b\u7ffb\u8a33\u3059\u308b\u3068\u3001 <div class=\"math-formual notranslate\">$$ {h(x + 3) = x^2 + 7x + 14\\,} $$<\/div>\u7d20\u6570 7 \u306f<i>x<\/i>\u306e\u4fc2\u6570\u3068\u5b9a\u6570\u4fc2\u6570\u3092\u5272\u308a\u307e\u3059\u304c\u300149 \u306f 14 \u3092\u5272\u3089\u306a\u3044\u3053\u3068\u304c\u3059\u3050\u306b\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u3092\u5909\u63db\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u591a\u9805\u5f0f\u304c\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u306e\u57fa\u6e96\u3092\u6e80\u305f\u3059\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p>\u3082\u3046 1 \u3064\u306e\u65e2\u77e5\u306e\u30b1\u30fc\u30b9\u306f\u3001\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u7d20\u6570<i>p<\/i>\u306e<span><a href=\"https:\/\/science-hub.click\/?p=31638\">\u5186\u5206\u591a\u9805\u5f0f<\/a><\/span>\u3001\u3064\u307e\u308a\u591a\u9805\u5f0f\u306e\u30b1\u30fc\u30b9\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\frac{(x^p &#8211; 1)}{(x &#8211; 1)} = x^{p &#8211; 1} + x^{p &#8211; 2} + \\cdots + x + 1\\,} $$<\/div> \u3002<\/dd><\/dl><p>\u3053\u3053\u3067\u3001\u591a\u9805\u5f0f\u306f\u3001\u5909\u63db<i>x<\/i> = <i>y<\/i> + 1 \u5f8c\u306e\u65b0\u3057\u3044\u5909\u6570<i>y<\/i>\u306b\u304a\u3044\u3066\u30a2\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u306e\u57fa\u6e96\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001\u5b9a\u6570\u4fc2\u6570\u306f<i>p<\/i>\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u4ed6\u306e\u4fc2\u6570\u306f\u4e8c\u9805\u4fc2\u6570\u306e\u7279\u6027\u306b\u5f93\u3063\u3066<i>p<\/i>\u3067\u5272\u308a\u5207\u308c\u307e\u3059\u3002 <div class=\"math-formual notranslate\">$$ {C_p^k\\,} $$<\/div> ( <i>p<\/i> ! \u306f<i>p<\/i>\u304c\u95a2\u4e0e\u3057\u306a\u3044\u3082\u306e\u3067\u9664\u7b97\u3055\u308c\u307e\u3059)\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/2a1oytySMag\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u57fa\u672c\u7684\u306a<span><a href=\"https:\/\/science-hub.click\/?p=52981\">\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/a><\/span><\/span><\/h2><p><i>P<\/i> ( <i>X<\/i> ) \u3092<i>p \u3092<\/i>\u6cd5\u3068\u3059\u308b<span><a href=\"https:\/\/science-hub.click\/?p=28224\">\u591a\u9805\u5f0f<\/a><\/span>\u3068\u3057\u3066\u8003\u3048\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4fc2\u6570\u304c\u7269\u4f53\u6570\u306b\u63db\u7b97\u3055\u308c\u305f\u591a\u9805\u5f0f\u3067\u3059\u3002 <div class=\"math-formual notranslate\">$$ {\\mathbb{Z}\/p\\mathbb{Z}\\,} $$<\/div> \u3002\u3053\u308c\u306f<i>c<\/i> .X <sup>n<\/sup>\u306e\u5f62\u5f0f\u306e\u591a\u9805\u5f0f\u306b\u306a\u308a\u307e\u3059<i>\u3002c<\/i>\u306f 0 \u4ee5\u5916\u306e\u6570\u5024\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u591a\u9805\u5f0f\u306f\u72ec\u81ea\u306e\u65b9\u6cd5\u3067\u65e2\u7d04\u56e0\u6570\u306e\u7a4d\u306b\u5206\u89e3\u3055\u308c\u308b\u305f\u3081\u3001 <i>P<\/i> (\u6cd5<i>p<\/i> ) \u306e\u56e0\u6570\u5206\u89e3\u306b\u306f\u5358\u9805\u5f0f\u306e\u307f\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/p><p>\u3055\u3066\u3001\u4e0d\u6761\u7406\u306a\u3053\u3068\u306b\u3001 <i>P \u304c<\/i>\u6574\u6570\u4fc2\u6570\u3092\u6301\u3064\u591a\u9805\u5f0f\u3068\u3057\u3066\u65e2\u7d04\u3067\u306a\u3044\u5834\u5408\u3001\u305d\u308c\u3092<i>Q \u306e<\/i>\u5f62\u5f0f\u3067\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <i>R<\/i> \u3001\u3057\u305f\u304c\u3063\u3066<i>P<\/i><i>\u3092<\/i>\u6cd5\u3068\u3059\u308b<i>Q<\/i>\u3068<i>p<\/i><i>\u3092<\/i>\u6cd5\u3068\u3059\u308b<i>R<\/i>\u306e\u7a4d\u306e\u5f62\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002\u5f8c\u8005\u306f\u3001\u76f4\u524d\u306b\u8ff0\u3079\u305f\u3088\u3046\u306b\u5358\u9805\u5f0f\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u3001\u3053\u308c\u306f<i>Q<\/i>\u30e2\u30b8\u30e5\u30ed<i>p<\/i>\u304c<i>d \u306e<\/i>\u5f62\u5f0f\u3067\u8a18\u8ff0\u3055\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002 X <sup>k<\/sup>\u304a\u3088\u3073<i>R<\/i>\u30e2\u30b8\u30e5\u30ed<i>p<\/i>\u306e\u5f62\u5f0f\u306f<i>e<\/i>\u3067\u3059\u3002 Xn <sup>\u2013k<\/sup>\u3053\u3053\u3067\u3001 <i>c<\/i> = <i>d<\/i> \u3002 <i>e<\/i> \u3002<\/p><p>\u6700\u5f8c\u306b\u3001 <i>R<\/i>\u6cd5<i>p<\/i>\u306e<i>Q<\/i>\u6cd5<i>p<\/i>\u3067<span><a href=\"https:\/\/science-hub.click\/?p=25552\">\u4e0e\u3048\u3089\u308c\u305f<\/a><\/span>\u6761\u4ef6\u306f\u3001 <i>p<\/i> <sup>2 \u304c<\/sup><sub>0<\/sub><i>\u3092<\/i>\u9664\u7b97\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u3001\u3053\u308c\u306f\u4eee\u8aac\u3068\u77db\u76fe\u3057\u307e\u3059\u3002\u5b9f\u969b\u3001 <i>0 \u306f<\/i><sub>Q<\/sub> <i>(<\/i> 0) \u3068\u540c\u3058\u3067\u3059\u3002\u4e0a\u3067\u8ff0\u3079\u305f\u3053\u3068\u306b\u5f93\u3063\u3066\u3001 <i>R<\/i> (0) \u3068<i>p \u306f<\/i>2 \u3064\u306e\u56e0\u6570\u3092\u9664\u7b97\u3057\u307e\u3059\u3002<\/p><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/zCU9tZ2VkWc\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Eisensteinovo_krit%C3%A9rium\">Eisensteinovo krit\u00e9rium \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Eisensteinkriterium\">Eisensteinkriterium \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Eisenstein%27s_criterion\">Eisenstein&#8217;s criterion \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/es.wikipedia.org\/wiki\/Criterio_de_Eisenstein\">Criterio de Eisenstein \u2013 espagnol<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/gl.wikipedia.org\/wiki\/Criterio_de_Eisenstein\">Criterio de Eisenstein \u2013 galicien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/he.wikipedia.org\/wiki\/%D7%A7%D7%A8%D7%99%D7%98%D7%A8%D7%99%D7%95%D7%9F_%D7%90%D7%99%D7%99%D7%96%D7%A0%D7%A9%D7%98%D7%99%D7%99%D7%9F\">\u05e7\u05e8\u05d9\u05d8\u05e8\u05d9\u05d5\u05df \u05d0\u05d9\u05d9\u05d6\u05e0\u05e9\u05d8\u05d9\u05d9\u05df \u2013 h\u00e9breu<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96 &#8211; \u5b9a\u7fa9\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=\"\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30c6\u30a4\u30f3 \uff12\u3000\u3000Sergei Eisenstein\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/RQ6yb6QD1AA?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>\u6570\u5b66\u3067\u306f\u3001\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96\u306f\u3001\u591a\u9805\u5f0f\u304c\u65e2\u7d04\u3067\u3042\u308b\u305f\u3081\u306e\u5341\u5206\u306a\u6761\u4ef6\u3092\u4e0e\u3048\u307e\u3059\u3002 $$ {\\mathbb{Q}\\,} $$ \uff08\u307e\u305f\u306f\u540c\u3058\u9084\u5143\u4e0d\u53ef\u80fd\u306a\u65b9\u6cd5\u3067\uff09 $$ {\\mathbb{Z}\\,} $$ \uff09\u3002 \u6574\u6570\u4fc2\u6570\u3092\u3082 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":32919,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/RQ6yb6QD1AA\/0.jpg","fifu_image_alt":"\u30a8\u30a4\u30bc\u30f3\u30b7\u30e5\u30bf\u30a4\u30f3\u57fa\u6e96 - 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