{"id":290,"date":"2023-07-06T18:20:29","date_gmt":"2023-07-06T18:20:29","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%90%8c%e6%ac%a1%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%be%8b\/"},"modified":"2023-07-06T18:20:29","modified_gmt":"2023-07-06T18:20:29","slug":"%e5%90%8c%e6%ac%a1%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%be%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%90%8c%e6%ac%a1%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%be%8b\/","title":{"rendered":"\u540c\u6b21\u591a\u9805\u5f0f"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u540c\u6b21\u591a\u9805\u5f0f\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b\u3068\u3053\u306e\u30bf\u30a4\u30d7\u306e\u591a\u9805\u5f0f\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u540c\u6b21\u591a\u9805\u5f0f\u3068\u7570\u6b21\u591a\u9805\u5f0f\u306e\u9055\u3044\u3082\u308f\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-polinomio-homogeneo\"><\/span>\u540c\u6b21\u591a\u9805\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u540c\u6b21\u591a\u9805\u5f0f\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<p><strong>\u6570\u5b66\u306b\u304a\u3051\u308b\u540c\u6b21\u591a\u9805\u5f0f\u3068\u306f\u3001\u3059\u3079\u3066\u306e\u9805\u304c\u540c\u3058\u6b21\u6570\u3067\u3042\u308b\u591a\u9805\u5f0f\u3067\u3059\u3002<\/strong><\/p>\n<p>\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c562859bfcb9245bf750cdf62e30cc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y,z)=x^3+5x^2y-4xyz\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u591a\u9805\u5f0f\u306e\u4e00\u90e8\u3067\u3042\u308b\u3059\u3079\u3066\u306e\u5358\u9805\u5f0f\u306f 3 \u6b21\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u308c\u306f 3 \u6b21\u306e\u540c\u6b21\u591a\u9805\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u540c\u6b21\u591a\u9805\u5f0f\u306e\u9805\u306e\u6b21\u6570\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u7591\u554f\u304c\u3042\u308b\u5834\u5408\u306f\u3001 <a href=\"https:\/\/mathority.org\/ja\/\u5358\u9805\u4fc2\u6570\u306e\u90e8\u5206-\u30ea\u30c6\u30e9\u30eb\u90e8\u5206\u3068\u5909\u6570\u6b21\u6570\u306e\u90e8\u5206\/\"><strong><span style=\"text-decoration: underline;\">\u5358\u9805\u5f0f\u306e\u90e8\u5206\u306b\u3064\u3044\u3066\u306e<\/span><\/strong><\/a>\u30da\u30fc\u30b8\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u3053\u3067\u306f\u3001\u5358\u9805\u5f0f\u306e\u6b21\u6570\u3092\u6c42\u3081\u308b\u65b9\u6cd5\u3060\u3051\u3067\u306a\u304f\u3001\u5358\u9805\u5f0f\u306e\u3059\u3079\u3066\u306e\u90e8\u5206\u306e\u8aac\u660e\u3068\u305d\u308c\u3089\u3092\u8b58\u5225\u3059\u308b\u65b9\u6cd5\u3002\u3055\u3089\u306b\u3001\u4f8b\u3092\u898b\u3066\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u3067\u7df4\u7fd2\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-homogeneos\"><\/span>\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u9805\u5f0f\u304c\u5747\u4e00\u3067\u3042\u308b\u3053\u3068\u304c\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u6982\u5ff5\u306e\u7406\u89e3\u3092\u5b8c\u4e86\u3059\u308b\u305f\u3081\u306b\u3001\u5747\u4e00\u306a\u591a\u9805\u5f0f\u306e\u4f8b\u3092\u3044\u304f\u3064\u304b\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li> 5 \u6b21\u306e\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-938803398f7974d4ff410dfb1e43f84e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y)=x^5+3x^2y^3-6x^4y+10xy^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"285\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 7 \u6b21\u306e\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b24c1a5bf1ed25c5698108cc448bdb4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y,z)=x^3y^4+2x^5y^2+4x^2y^2z^3-x^2y^4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"343\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 13 \u6b21\u306e\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50fee4914e8d236a46dbc69f8d67b3d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(a,b,c)=7a^6b^4c^3+2a^8b^3c^2+5a^4b^8c\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"297\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Polinomio-homogeneo-y-polinomio-heterogeneo\"><\/span>\u540c\u6b21\u591a\u9805\u5f0f\u3068\u7570\u6b21\u591a\u9805\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u540c\u6b21\u591a\u9805\u5f0f\u306b\u3088\u304f\u4f3c\u305f\u3082\u3046 1 \u3064\u306e\u591a\u9805\u5f0f\u306f\u7570\u6b21\u591a\u9805\u5f0f\u3067\u3059\u304c\u3001\u3053\u308c\u3089\u306e\u9593\u306b\u306f\u57fa\u672c\u7684\u306a\u9055\u3044\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p><strong>\u7570\u7a2e\u591a\u9805\u5f0f\u306f<\/strong>\u3001\u3059\u3079\u3066\u306e\u9805\u304c\u540c\u3058\u6b21\u6570\u3092\u6301\u305f\u306a\u3044\u591a\u9805\u5f0f\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u591a\u9805\u5f0f\u306e\u5358\u9805\u5f0f\u306e\u6b21\u6570\u304c\u6b8b\u308a\u306e\u8981\u7d20\u3068\u7570\u306a\u308b\u5834\u5408\u306b\u306e\u307f\u3001\u305d\u306e\u591a\u9805\u5f0f\u306f\u7570\u7a2e\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e\u591a\u9805\u5f0f\u306f\u7570\u7a2e\u591a\u9805\u5f0f\u3067\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8baa087cc08645b03a7879dc38522298_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y)=x^4+2x^3y+8x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"202\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u591a\u9805\u5f0f\u306e\u9805\u306e\u3046\u3061 2 \u3064\u306f\u6b21\u6570 4 (x <sup>4<\/sup> \u30012x <sup>3<\/sup> y) \u3067\u3059\u304c\u3001\u6b21\u6570\u306e\u7570\u306a\u308b\u9805\u304c\u3082\u3046 1 \u3064\u3042\u308b\u305f\u3081 (8x <sup>2<\/sup>\u306f\u6b21\u6570 2)\u3001\u5b9f\u969b\u306b\u306f\u7570\u7a2e\u591a\u9805\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u540c\u6b21\u591a\u9805\u5f0f\u3068\u7570\u6b21\u591a\u9805\u5f0f\u306f\u4e92\u3044\u306b\u975e\u5e38\u306b\u4f3c\u3066\u304a\u308a\u3001\u6df7\u540c\u3055\u308c\u3084\u3059\u3044\u305f\u3081\u3001\u6ce8\u610f\u304c\u5fc5\u8981\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-los-polinomios-homogeneos\"><\/span>\u540c\u6b21\u591a\u9805\u5f0f\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u540c\u6b21\u591a\u9805\u5f0f\u306b\u306f\u6b21\u306e\u3088\u3046\u306a\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li> N \u5909\u6570\u306e\u591a\u9805\u5f0f\u306b\u304a\u3051\u308b\u6b21\u6570 M \u306e\u7570\u306a\u308b\u540c\u6b21\u5358\u9805\u5f0f\u306e\u6570\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a50a9af76c5b398ccf1a017a08eb728c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{(M+N-1)!}{M!(N-1)!}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"107\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u304a\u305d\u3089\u304f\u300c <strong>\uff01\u300d<\/strong> \u201d \u00bb \u305d\u308c\u304c\u4ee3\u6570\u3067\u4f7f\u308f\u308c\u308b\u306e\u306f\u5947\u5999\u306b\u601d\u3048\u307e\u3059\u3002\u3053\u308c\u306f\u3001 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u6570\u5024\u306e\u968e\u4e57\u95a2\u6570\/\">\u6570\u5024\u306e\u968e\u4e57<\/a><\/span><\/strong>\u3068\u547c\u3070\u308c\u308b\u7279\u5225\u306a\u6570\u5b66\u7684\u6f14\u7b97\u3092\u793a\u3059\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u3092\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u64cd\u4f5c\u306e\u69cb\u6210\u3068\u305d\u306e\u7528\u9014\u306b\u3064\u3044\u3066\u306f\u3001\u524d\u306e\u30ea\u30f3\u30af\u3067\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u70b9<em>x<\/em>\u3067\u62e1\u5f35\u3055\u308c\u305f\u540c\u6b21\u591a\u9805\u5f0f\u306b\u5bfe\u5fdc\u3059\u308b\u30c6\u30a4\u30e9\u30fc\u7d1a\u6570\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f4fe67ef967d0006f8ec3f8936d3f1f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x+y)= \\sum_{j=0}^n {n \\choose j}  \\check{P} (\\underbrace{x,x,\\dots ,x}_{j} &amp; \\underbrace{y,y,\\dots ,y}_{n-j})\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"346\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u9069\u7528 (\u304a\u3088\u3073\u7406\u89e3) \u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u306b\u306f\u3001\u5f0f\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c062127739b922dff24815ba6bb3660_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix} n \\\\ j \\end{pmatrix} ,\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"41\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u7d44\u307f\u5408\u308f\u305b\u6570\u3068\u3044\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u524d\u306e\u6027\u8cea\u304c\u7406\u89e3\u3067\u304d\u306a\u3044\u5834\u5408\u306f\u3001 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/ja\/\u7d44\u307f\u5408\u308f\u305b\u6570\u306e\u4e8c\u9805\u4fc2\u6570\u306e\u30d5\u309a\u30ed\u30cf\u309a\u30c6\u30a3\/\">\u7d44\u307f\u5408\u308f\u305b\u6570\u306e\u516c\u5f0f\u304c<\/a><\/span><\/strong>\u4f55\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f\u3001\u540c\u6b21\u591a\u9805\u5f0f\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u540c\u6b21\u591a\u9805\u5f0f\u306e\u4f8b\u3068\u3053\u306e\u30bf\u30a4\u30d7\u306e\u591a\u9805\u5f0f\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u540c\u6b21\u591a\u9805\u5f0f\u3068\u7570\u6b21\u591a\u9805\u5f0f\u306e\u9055\u3044\u3082\u308f\u304b\u308a\u307e\u3059\u3002 \u540c\u6b21\u591a\u9805\u5f0f\u3068\u306f\u4f55\u3067\u3059\u304b? \u540c\u6b21\u591a\u9805\u5f0f\u306e\u5b9a\u7fa9\u306f\u6b21\u306e\u3068\u304a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%90%8c%e6%ac%a1%e5%a4%9a%e9%a0%85%e5%bc%8f%e3%81%ae%e4%be%8b\/\"> <span class=\"screen-reader-text\">\u540c\u6b21\u591a\u9805\u5f0f<\/span> \u3082\u3063\u3068\u8aad\u3080 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