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#16
16 ÊÔ§ËÒ¤Á 2018, 11:18
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ÍéÒ§ÍÔ§:
¡Ñº¾ËعÒÁ$115-46x+2x^2-x^3=0$..... $cluster${$115-46x+2x^2-x^3=0$}={$x^3-2x^2+46x-115,x^4+42x^2-23x-230,x^5+61x^2-2162x+4830,x^6-2040x^2+2024x+7015,...$} ËÃ×;ËعÒÁÀÒÂã¹cluster¨ÐÁÕÃÒ¡ÊÁ¡ÒÃàËÁ×͹¡Ñ¹ÍÂèÒ§¹éÍÂ3µÑǤ×Íà»ç¹¨Ó¹Ç¹¨ÃÔ§1µÑÇ... áÅÐäÁèãªè¨Ó¹Ç¹¨ÃÔ§ÍÕ¡2µÑÇ...
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#17
22 ÊÔ§ËÒ¤Á 2018, 11:22
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¡ÒûÃÐÁÒ³ÃÒ¡¢Í§ÊÁ¡ÒÃ
´éÇÂËÅÑ¡¡Òâͧ¾ËعÒÁcluster¹Õé ÊÒÁÒöËÒÃÒ¡¢Í§¾ËعÒÁ$115-46x+2x^2-x^3=0$ä´é...
¡è͹Í×è¹ãªé¡ÒûÃÐÁÒ³àªÔ§µÑÇàÅ¢¢Í§¤ÓµÍº¾ËعÒÁ¨Ðä´éÃÒ¡¢Í§ÊÁ¡ÒÃÍÂÙèÃÐËÇèÒ§$2áÅÐ3$... ¢Ñé¹µèÍä»·Ó¡ÒÃàÅ×è͹¾ËعÒÁãËéÃÒ¡¢Í§ÊÁ¡ÒÃÍÂÙèÃÐËÇèÒ§$0áÅÐ1$ ... $115-46x+2x^2-x^3=23-50(x-2)-4(x-2)^2-(x-2)^3$... ËÃ×Í...¹Ó¾ËعÒÁ $23-50p-4p^2-p^3...àÁ×èÍ p=x-2$ÁÒËÒÃÒ¡¢Í§ÊÁ¡ÒÃá·¹... ¢Ñé¹µèÍä»ÊÃéÒ§¾ËعÒÁcluster¢Í§¾ËعÒÁpä´é... $p^n=a_{n-1}p^2+(23a_{n-3}-50a_{n-2})p+23a_{n-2}$â´Â·Õè...$a_nà»ç¹¤ÇÒÁÊÑÁ¾Ñ¹¸ìẺ..a_n=-4a_{n-1}-50a_{n-2}+23a_{n-3}$...àÁ×èÍ $a_1=1,a_2=-4,a_3=-34$... ËÃ×ÍÊÃéÒ§ÅӴѺ$a_nä´é...1,-4,-34,359,172,-19420,...$... ËÃ×ÍÃÒ¡¢Í§¾ËعÒÁp»ÃÐÁÒ³ÃÒ¡¢Í§ÊÁ¡Òà $3956-343p-19420p^2=0$ËÃ×ÍÃÒ¡¢Í§ÊÁ¡ÒÃ$115-46x+2x^2-x^3=0..»ÃÐÁÒ³..2ºÇ¡´éÇÂÃÒ¡·Õèà»ç¹ºÇ¡¢Í§ÊÁ¡ÒÃ..3956-343p-19420p^2=0$.. ËÃ×ÍÊÃØ»ÇèÒÃÒ¡¢Í§ÊÁ¡ÒþËعÒÁx¤×Í...2ºÇ¡´éÇÂÃÒ¡¢Í§ÊÁ¡ÒÃ$a_{n-1}p^2+(23a_{n-3}-50a_{n-2})p+23a_{n-2}=0$àÁ×èÍnà¢éÒã¡Åé¨Ó¹Ç¹àµçÁºÇ¡Í¹Ñ¹µì...â´Â·Õè$a_nà»ç¹ÅӴѺẺ..a_n=-4a_{n-1}-50a_{n-2}+23a_{n-3}...áÅÐa_1=1,a_2=-4áÅÐa_3=-34$
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