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ÈùʬÀÑʬ³Ø³µÏÀAIÍ×Ìó No.1

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ÄêµÁ 1.1   °Ê²¼¤³¤Î¹ÖµÁ¤Ç¤Ï¼¡¤Î¤è¤¦¤Êµ­¹æ¤òÍѤ¤¤ë¡£
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  3. $ \mbox{${\mathbb{R}}$}$ : ¼Â¿ôÁ´ÂΤΤʤ¹½¸¹ç¡£

  4. $ {\mathbb{C}}$ : Ê£ÁÇ¿ôÁ´ÂΤΤʤ¹½¸¹ç¡£

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Îã 1.5  

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$ \sqrt{2}$ ¤ò»ý¤Ä¡£

ÄêµÁ 1.7   ½¸¹ç $ A\subset$   $ \mbox{${\mathbb{R}}$}$ ¤¬¾å¤ËÍ­³¦¤Ç¤¢¤ë¤È¤Ï¡¢ $ A$ ¤¬¾å³¦¤ò¾¯¤Ê¤¯¤È¤â°ì¤Ä¤â¤Ä¤È¤­¤Ë¸À¤¦¡£

ÎãÂê 1.8   $ f(x)=x^4-6 x^3 +11 x^2 -6 x $ ¤È¤ª¤¯¡£¤³¤Î¤È¤­

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$\displaystyle f(s)$ $\displaystyle =$   $\displaystyle s^4-6 s^3$ $\displaystyle +11$ $\displaystyle s^2 -$   $\displaystyle 6$   $\displaystyle s$    
  $\displaystyle >$ $\displaystyle 100$ $\displaystyle s^3 -6 s^3$ $\displaystyle + 11 \cdot$ $\displaystyle 0 -$   $\displaystyle 6$ $\displaystyle \cdot$ $\displaystyle s^3 = 88 s^3 >0$    

¤È¤Ê¤Ã¤Æ¡¢¤³¤ì¤Ï $ s\in S$ ¤ËÈ¿¤¹¤ë¤«¤é¤Ç¤¢¤ë¡£ ($ s>1$ ¤Î¤È¤­ $ s<s^2<s^3<\dots $ ¤ËÃí°Õ¡£ Éé¤Î¹à¤Ï¿¤á¤Ë¸«ÀѤâ¤ê¡¢Àµ¤Î¹à¤Ï¹µ¤¨¤á¤Ë¸«ÀѤâ¤ë¡£) ¤·¤¿¤¬¤Ã¤Æ¡¢ $ M$ ¤Ï $ S$ ¤Î¾å³¦¤Î°ì¤Ä¤Ç¤¢¤ë¡£

ÌäÂê 1.1   ¼¡¤Î³ÆÌä¤ËÅú¤¨¤Ê¤µ¤¤¡£
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  2. $\displaystyle S=\{ x\in$   $\displaystyle \mbox{${\mathbb{R}}$}$$\displaystyle ; 5x^4-4 x^3+3 x^2+4 x -5<0\}
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2015-04-13