{"id":16674,"date":"2024-07-15T14:00:53","date_gmt":"2024-07-15T14:00:53","guid":{"rendered":"https:\/\/science-hub.click\/%E5%8D%98%E7%B4%94%E3%81%AA%E8%A6%81%E7%B4%A0%E3%81%B8%E3%81%AE%E5%88%86%E8%A7%A3-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-07-15T14:00:53","modified_gmt":"2024-07-15T14:00:53","slug":"%E5%8D%98%E7%B4%94%E3%81%AA%E8%A6%81%E7%B4%A0%E3%81%B8%E3%81%AE%E5%88%86%E8%A7%A3-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=16674","title":{"rendered":"\u5358\u7d14\u306a\u8981\u7d20\u3078\u306e\u5206\u89e3 – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

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\n\"\u5358\u7d14\u306a\u8981\u7d20\u3078\u306e\u5206\u89e3<\/figure>

\u8a2d\u5b9a<\/h2>

P \u3068 Q \u3092 2 \u3064\u306e\u591a\u9805\u5f0f\u3068\u3057\u3001\u6709\u7406\u5206\u6570\u3092\u5206\u89e3\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002

$$ {F=\\frac PQ} $$<\/div> \u3002<\/p>

\u4ee5\u4e0b\u3067\u306f\u3001\u53ef\u80fd\u306a\u9650\u308a\u5358\u7d14\u5316\u3055\u308c\u305f\u6709\u7406\u5206\u6570 (\u300c\u65e2\u7d04\u5206\u6570\u300d\u3068\u547c\u3070\u308c\u308b)\u3001\u3064\u307e\u308aP<\/i><\/span>\u3068Q \u304c<\/i><\/span>\u4e92\u3044\u306b\u7d20\u3067\u3042\u308a\u3001 Q \u306e<\/i><\/span>\u6b21\u6570\u304c 1 \u4ee5\u4e0a\u3067\u3042\u308b\u5206\u6570\u306b\u7126\u70b9\u3092\u5f53\u3066\u307e\u3059\u3002 K<\/i><\/span>\u306b\u3088\u308b\u53ef\u63db\u4f53 (\u4e00\u822c\u306b

$$ {\\mathbb C} $$<\/div>\u307e\u305f\u306f
$$ {\\R} $$<\/div> \uff09\u3002<\/p>

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$$ {P = T \\times Q + R} $$<\/div> R<\/i><\/span>\u306e\u6b21\u6570 < Q<\/i><\/span>\u306e\u6b21\u6570\u3067\u3059\u3002\u6709\u7406\u5206\u6570
$$ {F=\\frac{P}{Q}} $$<\/div>\u305d\u308c\u304b\u3089\u66f8\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059
$$ {F=T + \\frac RQ} $$<\/div> \u3002\u591a\u9805\u5f0fT \u306f<\/i><\/span>F<\/i><\/span>\u306e\u6574\u6570\u90e8\u5206<\/span>\u3068\u547c\u3070\u308c\u3001
$$ {\\frac RQ} $$<\/div>\u5358\u7d14\u306a\u8981\u7d20\u3078\u306e\u5206\u89e3\u306b\u9032\u307f\u307e\u3059\u3002<\/p>

\u5b9f\u6570\u5185\u306e\u5358\u7d14\u306a\u8981\u7d20\u3078\u306e\u5206\u89e3<\/h2>
\n\"\u5358\u7d14\u306a\u8981\u7d20\u3078\u306e\u5206\u89e3<\/figure>

\u4e00\u822c\u539f\u5247<\/span><\/h3>

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\u5b9a\u7406<\/span><\/strong>\u2014<\/span>\u3057\u307e\u3057\u3087\u3046

$$ {F=\\frac{P}{Q} } $$<\/div>\u65e2\u7d04\u3001Q \u304c\u56e0\u6570\u5206\u89e3\u3092\u8a8d\u3081\u308b\u5834\u5408<\/p>
$$ { Q =(x – z_1)^{n_1} (x – z_2)^{n_2} … (x – z_p)^{n_p} (x^2- \\beta_1 x + \\gamma_1)^{m_1}(x^2- \\beta_2 x + \\gamma_2)^{m_2}…(x^2- \\beta_{q} x + \\gamma_{q})^{m_q}} $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u591a\u9805\u5f0f\u306f

$$ {x^2- \\beta_g x + \\gamma_g\\,} $$<\/div>\u5b9f\u6839\u304c\u306a\u3044 (\u8ca0\u306e\u0394<\/span> ) \u5834\u5408\u3001F \u306f\u6b21\u306e\u5358\u7d14\u306a\u8981\u7d20\u3078\u306e\u4e00\u610f\u306e\u5206\u89e3\u3092\u8a8d\u3081\u307e\u3059\u3002 <\/p>
$$ { F = \\begin{array}[t]{l} T+ \\frac{a_{11}}{(x-z_1)}+ \\frac{a_{12}}{(x-z_1)^2}+…+\\frac{a_{1n_1}}{(x-z_1)^{n_1}}\\\\ + \\cdots\\\\ + \\frac{a_{p1}}{(x-z_p)}+ \\frac{a_{p2}}{(x-z_p)^2}+…+\\frac{a_{pn_p}}{(x-z_p)^{n_p}}\\\\ + \\frac{b_{11}x+c_{11}}{(x^2 – \\beta_1 x + \\gamma_1)}+ \\frac{b_{12}x+c_{12}}{(x^2 – \\beta_1 x + \\gamma_1)^2} +…+ \\frac{b_{1m_1}x+c_{1m_1}}{(x^2- \\beta_1 x + \\gamma_1)^{m_1}}\\\\ +…\\\\ + \\frac{b_{q1}x+c_{q1}}{(x^2 – \\beta_q x + \\gamma_q)}+ \\frac{b_{q2}x+c_{q2}}{(x^2 – \\beta_q x + \\gamma_q)^2} +…+ \\frac{b_{qm_q}x+c_{qm_q}}{(x^2- \\beta_q x + \\gamma_q)^{m_q}} \\end{array} } $$<\/div><\/dd><\/dl>

\u3053\u3053\u3067\u3001 a<\/i> i<\/i> j<\/i><\/sub><\/span> \u3001 b<\/i> g<\/i> l<\/i><\/sub><\/span> \u3001 c<\/i> g<\/i> l<\/i><\/sub><\/span>\u306f\u5b9f\u6570\u3067\u3001\u591a\u9805\u5f0f T \u306f F \u306e\u6574\u6570\u90e8\u5206\u3067\u3059\u3002<\/p><\/div>

\u5206\u89e3\u306e\u4f8b<\/span><\/h3>

Q \u304c 1 \u6b21\u56e0\u5b50\u306e\u7a4d\u3067\u3042\u308b\u5834\u5408\u306e\u5206\u89e3\u65b9\u6cd5\u306f\u3001\u524d\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u691c\u8a0e\u3057\u307e\u3057\u305f\u3002\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001Q \u306b 2 \u6b21\u306e\u65e2\u7d04\u56e0\u6570\u304c 1 \u3064\u4ee5\u4e0a\u542b\u307e\u308c\u308b\u4f8b\u3092\u6271\u3046\u3053\u3068\u3060\u3051\u3067\u3059\u3002<\/p>

2\u6b21\u306e\u65e2\u7d04\u56e0\u5b50\u306e\u5b58\u5728<\/span><\/h4>

\u58ca\u308c\u308b\u306b\u306f<\/p>

$$ {{10x^2+12x+20 \\over x^3-8}} $$<\/div><\/dd><\/dl>

\u5358\u7d14\u306a\u8981\u7d20\u3067\u3001\u307e\u305a\u89b3\u5bdf\u3057\u307e\u3057\u3087\u3046<\/p>

$$ {x^3-8=(x-2)(x^2+2x+4).\\,} $$<\/div><\/dd><\/dl>

x<\/i> 2<\/sup> + 2 x<\/i> + 4 \u304c\u5b9f\u4fc2\u6570\u3092\u4f7f\u7528\u3057\u3066\u56e0\u6570\u5206\u89e3\u3067\u304d\u306a\u3044\u3068\u3044\u3046\u4e8b\u5b9f\u306f\u3001\u5224\u5225\u5f0f<\/a><\/span>2 2<\/sup> \u2212 4(1)(4) \u304c\u8ca0\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306a\u30b9\u30ab\u30e9\u30fca<\/i> \u3001 b<\/i> \u3001 c<\/i>\u3092\u63a2\u3057\u307e\u3059\u3002 <\/p>

$$ {{10x^2+12x+20 \\over x^3-8}={10x^2+12x+20 \\over (x-2)(x^2+2x+4)}={a \\over x-2}+{bx+c\\over x^2+2x+4}.} $$<\/div><\/dd><\/dl>

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