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yangyugdzs

½ð³æ (СÓÐÃûÆø)

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» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
feixiaolin: ½ð±Ò+15 2015-05-11 17:59:25
ÒýÓûØÌû:
7Â¥: Originally posted by yangyugdzs at 2015-05-07 13:23:42
¿´Á˰ëÌ죬»¹ÊDz»Ã÷°×ÄãдµÄÊÇʲôÒâ˼ £º£¨ Õâ¸ö¸úԭʼµÄÓÐʲô¹ØÏµ£¬Ô­Ê¼µÄÒªÇóÊǶÔËùÓеĠ 1<=j<=k-1 £¬ k>3 ¶¼³ÉÁ¢£¬ÄãÕâ¸ö¸úÌâĿҪÇóÓÐʲô¹ØÏµ£¬ÄÜ·ñ°ÑÍêÕûµÄ¹ý³Ìд³öÀ´£¬O(¡É_¡É)Oлл...

Â¥Ö÷¿ÉÒÔÓÃËã·¨À´¼òµ¥±©Á¦ÆÆ½â. ǰÌá: µ±A>0,B>0, A+B>C>max(A,B)ʱ, ÓÐ ºÍ

Ìõ¼þ: ¼¯ºÏS={e^{x1}, e^{x2},...,e^{xk}},T=¿Õ¼¯. ÆäÖÐÿ¸öxi·Ç¸º. ¸ø¶¨³£ÊýC, C>=max(x1,x2,...,xk)

²½Öè:
(1) Èç¹ûx1+x2<=C, ½« e^{x1}, e^{x2}Ìæ»»³É 1, e^{x1+x2};
Èç¹û x1+x2>C, ½«e^{x1}, e^{x2}Ìæ»»³É e^C, e^{x1+x2-C}.
(2)½«(1)µÃµ½µÄ1»òÕße^C´ÓSÖÐɾ³ý,×ªÒÆµ½TÖÐ.
(3) ÖØ¸´²½Öè(1), Ö±µ½Sֻʣһ¸öÔªËØ{e^y}, Õâʱºò±ØÈ»ÓÐ0<=y<=C.
Èç¹ûy=0»òC, ÈÔÈ»½«1»òÕße^C´ÓSÖÐŲµ½TÖÐ.

½áÂÛ: e^{x1}+e^{x2}+...+e^{xk} < e^y +(TÖÐÔªËØµÄºÍ).
ÕÕÂ¥Ö÷µÄ¼ÙÉè, S¸ÕºÃΪ¿Õ¼¯, ¶øTÖÐÓÐ(k-j)¸ö1, j¸öe^C, ÆäÖÐC=n1+n2+...+nk. ÕâÀï²»ÐèÒªÉèniΪÕûÊý, Ö»Òªni·Ç¸º¼´¿É.ÁíÍâ,Ãݺ¯ÊýµÄµ×²»±ØµÈÓÚ2, ¿ÉÒÔÓÃÈÎÒâ´óÓÚ1µÄÕýÊýaÌæ´ú,½áÂÛÕÕÑù³ÉÁ¢.
We_must_know. We_will_know.
8Â¥2015-05-08 02:50:35
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 11 ¸ö»Ø´ð

hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

Äã¿ÉÒ԰Ѳ»µÈʽÓÒ±ß×îºóÒ»Ïî
ÇåÎúµØÐ´³öÀ´Ã´? ±ÈÈç˵, k=3, j=1, ÄãµÄ²»µÈʽÊÇʲôÑù×ÓµÄ? лл.
We_must_know. We_will_know.
2Â¥2015-05-06 04:39:04
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

yangyugdzs

½ð³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
2Â¥: Originally posted by hank612 at 2015-05-06 04:39:04
Äã¿ÉÒ԰Ѳ»µÈʽÓÒ±ß×îºóÒ»Ïî
2^{\sum_{i=k}^{j+k-1}n_i} ÇåÎúµØÐ´³öÀ´Ã´? ±ÈÈç˵, k=3, j=1, ÄãµÄ²»µÈʽÊÇʲôÑù×ÓµÄ? лл.

ÇóÖúÈçºÎÖ¤Ã÷ÒÔϽáÂÛ£¬ÐüÉͽð±Ò50-1
3Â¥2015-05-06 21:25:52
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
3Â¥: Originally posted by yangyugdzs at 2015-05-06 21:25:52
...

ÎÒÃÇÏÈ¿´Ò»¸öÒýÀí:  , ¶ÔÈÎÒâx>0, 1>a>0.

Õâ¸öÒýÀíµÄÒâ˼ÊÇ, µ±ÓÐÁ½¸öÖ¸Êýº¯ÊýÏà¼Ó,²¢ÇÒÒªÇó(·Ç¸º)Ãݴεĺͺ㶨, ÄÇôµ±ÃÝ´ÎÒ»¸öΪÁã,ÁíÒ»¸ö×î´óʱ, ºÍº¯Êý×î´ó, .

ÄÇÂ¥Ö÷×ÐϸÏëÏë²»µÈʽÓÒ²à,¼ÙÈç¹Ì¶¨³ýÁËÏàÁÚµÄÒ»¶ÔÖ®ÍâµÄÆäËûÖ¸±ê, ÓÖ±£³Ö²»±ä, ÄÇô²»µÈʽ×ó²àÖµÊDz»±äµÄ, ¶ø²»µÈʽÓÒ²àµÄÖµµ±ÇÒ½öµ±ÆäÖÐÒ»¸ö, ÁíÒ»¸öµÈÓÚʱ×î´ó(¾ßÌåÄĸöÖµÇåÁãÒªÊÓÇé¿ö¶ø¶¨).

Õâô¶àÀ´¼¸ÏÂ, ÓÒ¶Ë×î´óÖµÖ»ÄÜÔÚÒ»¸ön_iµÈÓÚÈ«²¿ºÍ, ÆäÓàn_i¾ùΪÁãʱȡµ½. ¶øÕâ¸öºÍ¾ÍÊǵÈÓÚ (k-j)¸ö1¼ÓÉÏ j¸ö , ¾ÍÊDz»µÈʽ×ó¶Ë. ¿ÉÊÇÓÉÓÚÄãÒªÇó×îÉÙÓÐÁ½¸ö·ÇÁãµÄn_i, ËùÒÔ×î´óÖµÊÇÈ¡²»µ½µÄ, ¼´²»µÈʽÊÇÑϸñ´óÓںŵÄ.

Ö¸Êýº¯ÊýÒÔeΪµ×ºÍÒÔ2Ϊµ×Íêȫû²î, ֻҪÿ¸ön_i¶¼³ËÒÔln2±ä³É¾ÍÖªµÀÁË.
We_must_know. We_will_know.
4Â¥2015-05-07 02:23:37
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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