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hank612

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ÎÒ²»ÖªµÀÈçºÎÇó¼«ÏÞ, µ«¼«Ï޵ĴæÔÚÊǷdz£Ã÷ÏÔµØ.

ÈÃÇÒºÍΪ1. ÄÇôÓÉÓÚ ÊÇ µÄ͹×éºÏ, ¼´ÏÂÒ»¸öÔªËØ½éÓÚÇ°Ãæ(m+1)¸öÔªËØµÄ×î´óÖµºÍ×îСֵ֮¼ä, ËùÒÔÊǹØÓÚnµÄµ¥µ÷µÝÔö(²»Ò»¶¨Ñϸñ)µÄ, ͬÑùµÄ,
ÊǹØÓÚnµÄµ¥µ÷µÝ¼õ(²»Ò»¶¨Ñϸñ)µÄ. ÓÚÊǶþÕß¶¼´æÔÚ¼«ÏÞ, ·Ö±ð¼ÇΪAºÍB.  Èç¹ûA=B, ¾ÍÊÇÄãÏëÒªµÄ.

Èç¹û A<B,  ÄÇôÿһ¸öÐÂÉú³ÉµÄÔªËØÂú×ã
. µ±n³ä·Ö´óʱ, ¾Í»áÓÐÿһ¸öÐÂÔªËØ¶¼±ÈA ´óÒ»¸ö¹Ì¶¨µÄ³£Êý. ÄÇô, Á¬ÐøÈ¡(m+1)¸öÕâÑùµÄÐÂÔªËØ, ËüÃǵÄ×îСֵÎÞÂÛÈçºÎÒ²²»»áÇ÷ÓÚA, ÓÚÊÇì¶Ü.
We_must_know. We_will_know.
2Â¥2016-11-18 08:49:05
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iάÊý

ľ³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
2Â¥: Originally posted by hank612 at 2016-11-18 08:49:05
ÎÒ²»ÖªµÀÈçºÎÇó¼«ÏÞ, µ«¼«Ï޵ĴæÔÚÊǷdz£Ã÷ÏÔµØ.

ÈÃq_i=\frac{p_i}{\sum_{k=0}^m p_k} >0ÇÒºÍΪ1. ÄÇôÓÉÓÚ a_{n+m+1}=\sum_{k=0}^m q_k a_{n+k}ÊÇ a_n,a_{n+1},\dots,a_{n+m}µÄ͹×éºÏ, ¼´ÏÂÒ»¸öÔªËØ½éÓÚÇ°Ãæ ...

ллhank612´óÉñ£¡µ¹ÊýµÚ¶þÐÐÄÇÀïû¿´¶®£¬¿É·ñÔÙ˵Ïêϸһµã£¿Èç¹ûÒÑÖ¤µÃ¼«ÏÞ´æÔÚ£¬ÄÇô¼«ÏÞÖµÒ²¾Í¿ÉÒÔÇó³öÀ´ÁË£¬ÒòΪÓɵÝÍÆÊ½¿ÉÒÔ¿´³ö¶ÔÈÎÒâ×ÔÈ»Êý¾ùΪ³£Êý£¬×îºóÁî¼´¿ÉÇó³ö¼«ÏÞÖµ¡£
3Â¥2016-11-19 00:55:58
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hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
3Â¥: Originally posted by iάÊý at 2016-11-19 00:55:58
ллhank612´óÉñ£¡µ¹ÊýµÚ¶þÐÐÄÇÀïû¿´¶®£¬¿É·ñÔÙ˵Ïêϸһµã£¿Èç¹ûÒÑÖ¤µÃ¼«ÏÞ´æÔÚ£¬ÄÇô¼«ÏÞÖµÒ²¾Í¿ÉÒÔÇó³öÀ´ÁË£¬ÒòΪÓɵÝÍÆÊ½¿ÉÒÔ¿´³ö\sum _{k=0}^m{\sum _{j=0}^k{p_ja_{n+k}}}¶ÔÈÎÒâ×ÔÈ»Êýn¾ùΪ³£Êý£¬×îºóÁîn\to ...

Éè ÖÐ×îСֵΪ  q(>0), Éè ÖÐ×î´óÖµÊÇb, ×îСֵÊÇa, ÄÇô b>=B>A>=a.

²¢ÇÒ .

»°Ëµ»ØÀ´, Äã¹Û²ìµ½µÄÄǸöºãµÈÊ½ÕæÊÇÅ£B, Õæ²»ÖªµÀÄãÊÇÔõôÏëµ½µÄ.
We_must_know. We_will_know.
4Â¥2016-11-19 01:27:14
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iάÊý

ľ³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
4Â¥: Originally posted by hank612 at 2016-11-19 01:27:14
Éèq_i ÖÐ×îСֵΪ  q(>0), Éè a_n,a_{n+1},\dots,a_{n+m}ÖÐ×î´óÖµÊÇb, ×îСֵÊÇa, ÄÇô b>=B>A>=a.

²¢ÇÒ a_{n+m+1}-a=\sum_{0\leq i \leq m} q_i (a_{n+i}-a) \geq q(b-a)\geq q(B-A).

»°Ëµ»ØÀ´ ...

¶®ÁË£¬·Ç³£¸Ðл¹þ£¡ÆäʵÄǸöºãµÈʽÊÇÎÒÔÚ×öÌâÖÐÊܵ½Æô·¢µÃ³öÀ´µÄ£¬ÄÇÌâÖÐ,£¬´Ó¶øÏëµ½¸üÒ»°ãµÄÇé¿ö¿ÉÄÜÒ²»áÓÐÀàËÆµÄºãµÈʽ¡£Õâ¶¼²»Ëãɶ£¬ºÍ´óÉñÄãµÄ·ÖÎö¹¦Á¦±ÈÆðÀ´ÕâЩ¶¼ÊÇС²ËÒ»µú~
5Â¥2016-11-19 14:35:55
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