{"id":35774,"date":"2024-03-22T07:54:29","date_gmt":"2024-03-22T07:54:29","guid":{"rendered":"https:\/\/science-hub.click\/%E4%B8%80%E8%88%AC%E5%8C%96%E4%BA%8C%E9%A0%85%E5%BC%8F-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-03-22T07:54:29","modified_gmt":"2024-03-22T07:54:29","slug":"%E4%B8%80%E8%88%AC%E5%8C%96%E4%BA%8C%E9%A0%85%E5%BC%8F-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=35774","title":{"rendered":"\u4e00\u822c\u5316\u4e8c\u9805\u5f0f – \u5b9a\u7fa9"},"content":{"rendered":"

\u4e00\u822c\u5316\u3055\u308c\u305f\u4e8c\u9805<\/strong>\u516c\u5f0f\u306b\u3088\u308a\u30012 \u3064\u306e\u9805\u306e\u548c\u306e\u5b9f\u6570\u307e\u305f\u306f\u8907\u7d20\u7d2f\u4e57\u3092\u7d1a\u6570\u548c\u306e\u5f62\u5f0f\u3067\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e8c\u9805\u516c\u5f0f\u304c\u4e00\u822c\u5316\u3055\u308c\u307e\u3059\u3002<\/p>

\u3059\u3079\u3066\u306e\u5b9f\u6570\u307e\u305f\u306f\u8907\u7d20\u6570r<\/i> \u3001 x<\/i> \u3001\u304a\u3088\u3073y<\/i> ( y<\/i> \u2260 0) \u306b\u5bfe\u3057\u3066\u3001\u6b21\u306e\u3088\u3046\u306a\u5f0f\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 x<\/i> \/ y<\/i> |<1\u3001 <\/p>

$$ {(x+y)^r=\\sum_{k=0}^\\infty {r \\choose k} x^k y^{r-k}} $$<\/div><\/dd><\/dl>

\u307e\u305f\u306f

$$ {{r \\choose k}=\\frac{r(r-1)(r-2)\\ldots (r-k+1)}{k!}} $$<\/div>\u306f\u4e8c\u9805\u4fc2\u6570\u3067\u3059\u3002<\/p>

( k<\/i> = 0 \u304c\u7a7a\u306e<\/a><\/span>\u7a4d\u3067\u3042\u308b\u305f\u3081 1 \u306b\u7b49\u3057\u3044\u5834\u5408\u3001\u304a\u3088\u3073k<\/i> = 1 \u304cr<\/i>\u306b\u7b49\u3057\u3044\u5834\u5408\u3001\u8ffd\u52a0\u306e\u56e0\u6570 (r \u2013 1) \u306a\u3069\u306f\u3053\u306e\u5834\u5408\u306b\u306f\u73fe\u308c\u307e\u305b\u3093) \u3002<\/p>

\u5bfe\u5fdc\u3059\u308b\u7d1a\u6570\u306f\u53ce\u675f\u3057\u3066\u304a\u308a\u3001\u5b9f\u6570\u307e\u305f\u306f\u8907\u7d20\u6570x<\/i>\u3068y \u306e<\/i>\u30e2\u30b8\u30e5\u30e9\u30b9\u6bd4\u304c\u53b3\u5bc6\u306b 1 \u3088\u308a\u5c0f\u3055\u3044\u5834\u5408\u306b\u306f\u5e38\u306b\u7b49\u5f0f\u304c\u6709\u52b9\u3067\u3059\u3002<\/p>

\u7b49\u6bd4\u7d1a\u6570\u306e\u548c\u306f\u3001 y<\/i> = 1 \u304a\u3088\u3073r<\/i> = -1 \u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u5f0f\u306e\u7279\u6b8a\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002<\/p>

\u3053\u306e\u5f0f\u306f\u3001\u53ef\u63db ( xy<\/i> = yx<\/i> ) \u3067\u3042\u308b\u30d0\u30ca\u30c3\u30cf\u4ee3\u6570<\/a><\/span>\u306e\u8981\u7d20x<\/i>\u3068y<\/i>\u306b\u5bfe\u3057\u3066\u3082\u6709\u52b9\u306a\u307e\u307e\u3067\u3042\u308a\u3001 y<\/i>\u306f\u53ef\u9006\u3067\u3042\u308a\u3001 || \u306b\u306a\u308a\u307e\u3059\u3002 x<\/i> .y -1<\/sup> ||< 1\u3002<\/p><\/div>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. \u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0630\u0627\u062a \u062d\u062f\u064a\u0646 \u2013 arabe<\/a><\/li>
  2. Binomni red \u2013 bosniaque<\/a><\/li>
  3. Binomischer Lehrsatz \u2013 allemand<\/a><\/li>
  4. Binomial series \u2013 anglais<\/a><\/li>
  5. Serie binomial \u2013 espagnol<\/a><\/li>
  6. \u0633\u0631\u06cc \u062f\u0648 \u062c\u0645\u0644\u0647\u200c\u0627\u06cc \u2013 persan<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u4e00\u822c\u5316\u4e8c\u9805\u5f0f – \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n