ÑÇÐÇÓÎÏ·¹ÙÍø-www.yaxin868.com


    ɽ¶«ÑÇÐÇÓÎÏ·¹ÙÍø»ú´²ÓÐÏÞ¹«Ë¾Ï³´²¹Ù·½ÍøÕ¾½ñÌìÊÇ£º2025-06-27Çл»³ÇÊÐ[È«¹ú]-ÍøÕ¾µØÍ¼
    ÍÆ¼ö²úÆ· :
    ÍÆ¼öÐÂÎÅ
    ¼¼ÊõÎÄÕµ±Ç°Î»ÖÃ:¼¼ÊõÎÄÕÂ>

    Ò»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨

    ʱ¼ä:2025-06-27    ×÷Õß: ¹ÜÀíÔ±

    רÀûÃû³Æ£ºÒ»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨
    ¼¼ÊõÁìÓò£º
    ±¾·¢Ã÷Éæ¼°Ò»ÖÖ»úе¹ÊÕÏÔ¤²â·½·¨£¬ÌرðÊǹØÓÚÒ»ÖÖ»ùÓÚÐÅÏ¢ìØ¼ÓȨºÍʱ¼äÒòËØ ¼ÓȨµÄ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨¡£
    ±³¾°¼¼Êõ£º
    Ãæ¶Ô»úµçÉ豸¹ÊÕÏÔ¤²âµÄ·ÇÏßÐÔ¡¢·ÇƽÎȶ¯Ì¬ÎÊÌ⣬´«Í³µÄÏßÐÔ»¯´¦Àí·½·¨Ð§¹û Ç·¼Ñ£¬¶øÒ»Ð©±¾ÖÊÊÇ·ÇÏßÐԵĶ¯Ì¬ÏµÍ³·ÖÎö´¦Àí·½·¨ÔÚ¹ÊÕÏÔ¤²â·½Ãæ¾ßÓÐÓ¦ÓÃǰ¾°¡£Éñ¾­ ÍøÂçÔ¤²â·½·¨¾ßÓÐ×Ôѧϰ¹¦ÄÜ£¬ÒÔ¼°·ÇÏßÐÔ¡¢·Ç¾ÖÓòÐÔ¡¢·Ç¶¨³£ÐÔµÈÌØµã£¬¿ÉÒÔͨ¹ýÇ¡µ±Ñ¡ ÔñÍøÂç²ã´ÎºÍÒþ²ãµ¥ÔªÊý£¬Äܹ»ÒÔÈÎÒ⾫¶È±Æ½üÈÎÒâÁ¬Ðø·ÇÏßÐÔº¯Êý¼°Æä¸÷½×µ¼ÊýµÄÌØ ÐÔ£¬Òò¶øÔÚ¹ÊÕÏÔ¤²âÖб»¹ã·º¡£Ä¿Ç°£¬²ÉÓÃÉñ¾­ÍøÂç½øÐйÊÕÏÔ¤²âµÄ·½·¨´óÌåÊǽ«É豸ÔË ÐÐ״̬µÄʱ¼äÐòÁÐÊý¾ÝÒÀ´ÎÊäÈëµ½Éñ¾­ÍøÂçµÄÊäÈë²ã£¬È»ºó²ÉÓÃͨÓÃÉñ¾­ÍøÂç½øÐÐѵÁ·ºÍ Ô¤²â¡£ÔÚÕâÖÖ·½·¨ÖУ¬ÍøÂçÊäÈëÖµ¶ÔÍøÂçÊä³öÔ¤²âÖµµÄ¹±Ï׳̶ÈÔÚ¸ÅÂÊÉÏ»ù±¾ÉÏÊǵÈͬµÄ£¬ ¶øÇÒËùÓõÄÉñ¾­ÍøÂç´ó¶àÊǾ²Ì¬ÍøÂ磬²»Êʺ϶¯Ì¬ÏµÍ³µÄʵʱ±æÊ¶¡£ÔÚʵ¼ÊÓ¦ÓÃÖУ¬ÍøÂç½á ¹¹ÖÐÒþº¬²ã½ÚµãÊýÒ»°ãÊÇÒÀ¿¿ÊÔËãµÄ°ì·¨£¬µ«ÊǸ÷½·¨¼ÆËãÁ¿½Ï´ó£¬²¢ÇÒ²»ÈÝÒ×È·¶¨ËùµÃ Ô¤²âÄ£ÐͽṹµÄÓÅÁÓ¡£

    ·¢Ã÷ÄÚÈÝ
    Õë¶ÔÉÏÊöÎÊÌ⣬±¾·¢Ã÷µÄÄ¿µÄÊÇÌṩһÖÖ¹ÊÕÏÔ¤²â¿É¿¿ÐԽϸß¡¢¼ÆËãÁ¿½ÏСÇÒÄÜ ÊÊÓÃÓÚ¶¯Ì¬ÏµÍ³ÊµÊ±±æÊ¶µÄ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨¡£ÎªÊµÏÖÉÏÊöÄ¿µÄ£¬±¾·¢Ã÷²ÉÈ¡ÒÔϼ¼Êõ·½°¸Ò»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤ ²â·½·¨£¬Æä²½ÖèÈçÏÂ(1)ͨ¹ýÔ¶³Ì¼à²âÕï¶ÏÖÐÐÄ»ñÈ¡¶Ô¹ÊÕÏÃô¸ÐµÄij²âµã´«¸ÐÆ÷Êä³öµÄ Ò»¶ÎÁ¬ÐøÕñ¶¯Ðźţ»(2)ÀûÓÃ3o·½·¨ºÍ²åÖµ·½·¨¶Ô»ñÈ¡µÄÕñ¶¯Êý¾Ý·Ö±ð½øÐÐÒì³£ÖµÌÞ³ý ºÍȱʧÊý¾ÝÌî²¹£¬µÃµ½Õñ¶¯Êý¾ÝÐòÁÐ{X¡±¡­£¬Xn} £» (4)¶ÔÕñ¶¯Êý¾ÝÐòÁÐ{X¡±¡­£¬XJ½øÐйé Ò»»¯´¦ÀíºóµÃµ½ÐòÁÐ{Xl£¬-,xj £» (5)¸ù¾Ý¹éÒ»»¯´¦ÀíºóµÄÐòÁÐ{Xl£¬¡­£¬xn}£¬¼ÆËã»ùÓÚÐÅ Ï¢ìØ¼ÓȨϵÊýwSi£¬½ø¶ø¼ÆËã³ö¾­ìؼÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁÐ{yi£¬¡­£¬yn} £» (6)ÓÉÓÚʱ¼äÒòËØ Ó°Ï죬ÀûÓÃʱ¼ä¼ÓȨ¶ÔìØ¼ÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁÐ{y¡±¡­£¬yj½øÐÐʱ¼ä¼ÓȨ¼ÆËãºó£¬µÃµ½Êý ¾ÝÐòÁÐIz¡±¡­£¬zj £» (7)ÀûÓÃÊý¾ÝÐòÁÐ{Zl£¬¡­£¬zj¹¹½¨·ÇÏßÐԵĶ¯Ì¬µÝ¹éÉñ¾­ÍøÂçÔ¤²â Ä£ÐÍ£¬²¢²ÉÓûƽð·Ö¸î·¨È·¶¨Òþº¬²ã×îÓŽڵãÊý£¬½ø¶øÈ·¶¨Éñ¾­ÍøÂç×î¼ÑÔ¤²âÄ£Ðͽṹ£¬½ø ÐйÊÕÏÇ÷ÊÆÔ¤²â£¬µÃµ½Ô¤²â½á¹û{+£¬¡­£¬uj£¬mΪԤ²âµãµÄÊýÄ¿£»(8)¶ÔÇ÷ÊÆÔ¤²â½á¹û½øÐÐ ·´¹éÒ»»¯´¦Àí£¬µÃµ½Êµ¼ÊÔ¤²â½á¹û¡£ËùÊö²½Öè(5)ÖУ¬ËùÊöÕñ¶¯ÐòÁо­ËùÊöìØ¼ÓȨºóµÃµ½ÐòÁÐ{yi£¬¡­£¬yjΪyi
    =xiWsi i = 1,2,¡­n£¬Ê½ÖУ¬ÐÅÏ¢ìØ¼ÓȨϵÊýÆäÖÐEiΪ·´Ó³Õñ¶¯Êý¾ÝЯ
    ´øÐÅÏ¢Á¿µÄÐÅÏ¢ìØ£¬E, = -Pilog2Pi(i = 1,2,¡­£¬n), PiΪ¸÷Õñ¶¯Êý¾ÝÌṩÐÅÏ¢µÄ¸ÅÂÊ£¬ Pi=^L~ ¶þ 1,2, .., )¡£
    ËùÊö²½Öè(6)ÖУ¬ËùÊöÕñ¶¯ÐòÁо­ËùÊöʱ¼ä¼ÓȨºóµÃµ½Êý¾ÝÐòÁÐ{Zl£¬¡­£¬zjΪ<formula>formula see original document page 5</formula>
    zj = yiwNi i = 1,2,¡­n£¬Ê½ÖУ¬wNiΪʱ¼ä¼ÓȨϵÊý£¬ÆäΪ:WNi =¡®
    £¬ÆäÖÐ<formula>formula see original document page 5</formula>ËùÊö²½Öè(7)ÖУ¬ËùÊöÒþº¬²ã×îÓŽڵãÊýµÄÈ·¶¨·½·¨ÈçÏ¢ٸù¾Ý¹«Ê½ni = log2n ºÍ ¶þ^/^^ +½ö·Ö±ðÈ·¶¨Òþº¬²ã½ÚµãÊýËùÔÚµÄÇø¼äµÄ×îСֵn_minºÍ×î´óÖµn_maX£¬Æä ÖУ¬nΪÊäÈëÉñ¾­ÔªÊý£¬mΪÊä³öÉñ¾­ÔªÊý£¬aΪ[1£¬10]Ö®¼äµÄ³£Êý£»¢Ú¼ÆËãÒþº¬²ã½Úµã ÊýËùÔÚÇø¼ä¶Ëµã´¦µÄÎó²î¾ù·½E(n_min)ºÍE(n_maX)£»¢Û±È½Ï¶Ëµã´¦Îó²îµÄ´óС£¬µ±E(n_ min) ^E(n_max)ʱ£¬´ÓÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä×îСֵµÄÓÒ²à½øÐлƽðËÑË÷£¬ËÑË÷µãi = n_ min+0.618(n_max-n_min)£¬ÔòÉèÖÃnjnax = i £»·´Ö®£¬´ÓÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä×î´óÖµµÄ×ó ²à½øÐлƽðËÑË÷£¬ËÑË÷µãi = n_max-0. 618 (n_max-n_min)£¬ÔòÉèÖÃn_min = i £»¢Ü¸ù¾ÝÒÑÉè ¶¨µÄ¾ù·½Îó²îÏÂÏÞÖµÅжϻƽðµãÊÇ·ñÂú×ãÎó²îÒªÇ󣬵±Âú×ãÎó²îÒªÇóʱ£¬×î¼ÑÒþº¬²ã½Úµã Êý¼´ÎªËÑË÷µãi £»·ñÔò£¬½øÈë²½Öè¢ÚÑ­»·¡£±¾·¢Ã÷ÓÉÓÚ²ÉÈ¡ÒÔÉϼ¼Êõ·½°¸£¬Æä¾ßÓÐÒÔÏÂÓŵã1¡¢±¾·¢Ã÷ÓÉÓÚ²ÉÓö¯Ì¬Éñ¾­Íø ÂçÄ£ÐͽøÐÐÔ¤²â£¬ÀûÓÃÐÅÏ¢ìØ¶ÔËùÊäÈëµÄ±íÕ÷É豸ÔËÐеÄÕñ¶¯Ðźţ¬½øÐÐÐÅÏ¢ÈÚºÏÒÔ»ñµÃ ¶Ô»úµçÉ豸ÔËÐÐ״̬µÄÒ»ÖÂÐÔÃèÊö£¬½¨Á¢»ùÓÚÐÅÏ¢ìØµÄȨ¾ØÕó£¬Í¬Ê±¿¼ÂÇʱ¼äÒòËØ¶ÔÍøÂç ÊäÈëµÄÓ°Ï죬½¨Á¢ÐÂÏ¢¼ÓȨµÄ¶¯Ì¬Éñ¾­ÍøÂçÔ¤²âÄ£ÐÍ£¬ÔÚ¶¯Ì¬Éñ¾­ÍøÂçµÄÔ¤²âÖУ¬²ÉÓûƽð ·Ö¸î·¨È·¶¨Òþº¬²ã½ÚµãÊýµÄÊýÄ¿£¬¿ÉÒÔ¸ßЧµØÔ¤²âÉ豸ÔËÐÐ״̬£¬Òò´ËÌá¸ßÁ˹ÊÕÏÔ¤²â¿É ¿¿ÐÔ¡£2¡¢±¾·¢Ã÷ÓÉÓÚ¶ÔÀ´×Ô´«¸ÐÆ÷µÄԭʼÐÅÏ¢½øÐÐÐÅÏ¢ìØÈںϣ¬µÃµ½µÄÐÅÏ¢ìØ¼ÓȨϵÊý£¬²¢ °´ÕÕÐÅÏ¢ÔÚÐÅÏ¢ìØÉÏÐÅÏ¢Á¿µÄ¹±Ï׳̶ȽøÐмÓȨ£¬Òò´Ë¿ÉÒÔ³ä·ÖÓÐЧµØÀûÓô«¸ÐÆ÷ÐÅÏ¢½ø ÐÐÔ¤²â¡£3¡¢±¾·¢Ã÷ÓÉÓÚ¿¼ÂÇʱ¼äÒòËØÓ°Ï죬½ø¶ø½¨Á¢ÐÂÏ¢¼ÓȨ¾ØÕó£¬Òò´ËÈ·¶¨ÁËÍøÂçÊäÈëÖµ ¶ÔÍøÂçÊä³öÔ¤²âÖµµÄ¹±Ï׳̶È¡£4¡¢±¾·¢Ã÷ÓÉÓÚ²ÉÓûƽð·Ö¸î·¨ËÑѰȷ¶¨Òþº¬²ã½ÚµãÊý£¬Òò ´Ë´ó´ó¼ò»¯Á˼ÆËãÁ¿£¬²¢ÇÒÈÝÒ×È·¶¨ËùµÃÔ¤²âÄ£ÐͽṹµÄÓÅÁÓ¡£5¡¢±¾·¢Ã÷ÓÉÓÚÀûÓñ¾ÖÊΪ ·ÇÏßÐÔÍØÆË½á¹¹µÄ¶¯Ì¬Éñ¾­ÍøÂçÔ¤²âÄ£ÐÍ£¬Òò´ËʹµÃÔ¤²âÄ£Ð;ßÓж¯Ì¬×ÔÊÊÓ¦ÌØµã£¬Äܹ» ÊÊÓ¦¹¤¿öÌõ¼þºÍ»·¾³±ä»¯µÈ£¬ÊµÏÖÁË·ÇÏßÐÔ¹ÊÕÏÔ¤²â¡£±¾·¢Ã÷¿ÉÒԹ㷺ӦÓÃÓÚ¸÷ÖÖ»úµçÉè ±¸¹ÊÕÏÔ¤²â·ÖÎöÖС£


    ͼ1ÊDZ¾·¢Ã÷µÄÕûÌåÁ÷³ÌʾÒâͼ£¬Í¼2ÊDZ¾·¢Ã÷µÄ»ùÓڻƽð·Ö¸î·¨È·¶¨Òþº¬²ã×îÓŽڵãÊýÁ÷³ÌʾÒâͼ¡£
    ¾ßÌåʵʩÀý·½Ê½ÏÂÃæ½áºÏ¸½Í¼ºÍʵʩÀý¶Ô±¾·¢Ã÷½øÐÐÏêϸµÄÃèÊö¡£Èçͼ1Ëùʾ£¬±¾·¢Ã÷²ÉÓö¯Ì¬Éñ¾­ÍøÂçÄ£ÐͽøÐÐÔ¤²â£¬ÀûÓÃÐÅÏ¢ìØ¼ÓȨ¶ÔÊäÈëµÄ ´ú±íÉ豸ÔËÐеÄÕñ¶¯ÐźŽøÐÐÐÅÏ¢Èںϣ¬½ø¶ø»ñµÃ¶Ô»úµçÉ豸ÔËÐÐ״̬µÄÒ»ÖÂÐÔÃèÊö¡£½¨Á¢»ùÓÚÐÅÏ¢ìØ¼ÓȨµÄͬʱ£¬¿¼ÂÇʱ¼äÒòËØ¶ÔÍøÂçÊäÈëµÄÓ°Ï죬½¨Á¢ÐÂÏ¢¼ÓȨµÄ¶¯Ì¬Éñ¾­Íø ÂçÔ¤²âÄ£ÐÍ£¬ÔÚ¶¯Ì¬Éñ¾­ÍøÂçµÄÔ¤²âÖУ¬²ÉÓûƽð·Ö¸î·¨È·¶¨Òþº¬²ã×îÓŽڵãÊý£¬ÒÔʵÏÖ¸ß Ð§µÄÔ¤²âÉ豸ÔËÐÐ״̬¡£Æä¾ßÌå²½ÖèÈçÏÂ(1)ͨ¹ýÏÖÓÐÔ¶³Ì¼à²âÕï¶ÏÖÐÐÄ»ñÈ¡¶Ô¹ÊÕÏÃô¸ÐµÄij²âµã´«¸ÐÆ÷Êä³öµÄÒ»¶ÎÁ¬Ðø Õñ¶¯ÐźÅÊý¾Ý£»(2)ÀûÓÃ3 ¦Ò·½·¨ºÍ²åÖµ·½·¨¶Ô»ñÈ¡µÄÕñ¶¯Êý¾Ý·Ö±ð½øÐÐÒì³£ÖµÌÞ³ýºÍȱʧÊý¾Ý Ìî²¹£¬µÃµ½Õñ¶¯Êý¾ÝÐòÁÐ{X¡± -,XJ £»(4)¶ÔÕñ¶¯Êý¾ÝÐòÁÐ{¦¶1;¡­£¬XJ½øÐйéÒ»»¯´¦ÀíºóµÃµ½ÐòÁÐIx1,¡­£¬Xj£¬¼´
    <formula>formula see original document page 6</formula>(5)¸ù¾Ý¹éÒ»»¯´¦ÀíºóµÄÐòÁÐIx1,¡­£¬xn}£¬¼ÆËã»ùÓÚÐÅÏ¢ìØ¼ÓȨϵÊýWsi£¬¾­¹ýìØ ¼ÓȨºóµÃµ½Õñ¶¯Êý¾ÝÐòÁС­£¬yjΪ<formula>formula see original document page 6</formula>ÉÏʽÖУ¬ÐÅÏ¢ìØ¼ÓȨϵÊý=£¬ÆäÖÐEiΪ·´Ó³Õñ¶¯Êý¾ÝЯ´øÐÅÏ¢Á¿µÄÐÅ
    Ï¢ìØ£¬Ei = -PiIog2Pi (i = 1,2,¡­£¬¦Ç)£¬PiΪ¸÷Õñ¶¯Êý¾ÝÌṩÐÅÏ¢µÄ¸ÅÂÊ£¬ <formula>formula see original document page 6</formula>
    (6)ÓÉÓÚʱ¼äÐòÁÐÊý¾ÝËæÕñ¶¯Êý¾ÝµÄоɳ̶Ȳ»Í¬£¬»á¶ÔÊä³öÔ¤²âÖµµÄ¹±Ï×´ó СҲ²»Ïàͬ£¬Òò´ËÓÃʱ¼ä¼ÓȨ¶ÔìØ¼ÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁС­£¬yn}½øÐÐʱ¼ä¼ÓȨ¼Æ Ë㣬½ø¶øÄÜÌåÏÖ³öÑù±¾Êý¾ÝÖÐоÉÊý¾Ý¶ÔÔ¤²âÖµµÄ¹±Ï×´óС£¬¾­Ê±¼ä¼ÓȨºóµÃµ½Êý¾ÝÐòÁÐ Iz1,¡­£¬zn}Ϊ<formula>formula see original document page 6</formula>¦Ç (3)ÉÏʽÖУ¬wNiΪʱ¼ä¼ÓȨϵÊý£¬ÆäΪ
    <formula>formula see original document page 6</formula>Wm ÍÂ,£¬ÆäÖÐ kn hi
    <formula>formula see original document page 6</formula>(7)ÀûÓÃÊý¾ÝÐòÁÐIz1,¡­£¬zn}¹¹½¨·ÇÏßÐԵĶ¯Ì¬µÝ¹éÉñ¾­ÍøÂçÔ¤²âÄ£ÐÍ£¬²¢ÔÚ¶¯ ̬Éñ¾­ÍøÂçÔ¤²âÄ£ÐÍÖУ¬²ÉÓûƽð·Ö¸î·¨È·¶¨Òþº¬²ã×îÓŽڵãÊý£¬½ø¶øÈ·¶¨Éñ¾­ÍøÂç×î¼Ñ Ô¤²âÄ£Ðͽṹ£¬½øÐйÊÕÏÇ÷ÊÆÔ¤²â£¬µÃµ½Ô¤²â½á¹ûIu1,¡­£¬Uj£¬mΪԤ²âµãµÄÊýÄ¿£»(8)¶ÔÇ÷ÊÆÔ¤²â½á¹û½øÐз´¹éÒ»»¯´¦Àí£¬µÃµ½Êµ¼ÊÔ¤²â½á¹ûIv1,¡­£¬vm}£¬Ô¤²â½á¹û ViΪ(4)Èçͼ2Ëùʾ£¬ÉÏÊö²½Öè(7)ÖУ¬Òþº¬²ã×îÓŽڵãÊýµÄÈ·¶¨·½·¨ÈçÏ¢ٸù¾Ý¾­Ñ鹫ʽ½Ð=Iog2IiÈ·¶¨Òþº¬²ã½ÚµãÊýËùÔÚµÄÇø¼äµÄ×îСֵn_min£¬¸ù¾Ý ¾­Ñ鹫ʽ£¥ = V^ + ¦ÁÈ·¶¨Òþº¬²ã½ÚµãÊýËùÔÚµÄÇø¼äµÄ×î´óÖµn_maX£¬½ø¶øÈ·¶¨ÁËÒþº¬²ã ½ÚµãÊýËùÔÚÇø¼äΪ[n_min£¬n_maX]£»ÆäÖУ¬¦ÇΪÊäÈëÉñ¾­ÔªÊý£¬mΪÊä³öÉñ¾­ÔªÊý£¬¦ÁΪ[1£¬10]Ö®¼äµÄ³£Êý£»¢Ú¼ÆËãÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä¶Ëµã´¦µÄ¾ù·½Îó²îE (n_min)ºÍE (n_max)£»¢Û±È½Ï¶Ëµã´¦Îó²îµÄ´óС£¬µ±E (n_min)áêE (n_max)ʱ£¬´ÓÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä ×îСֵµÄÓÒ²à½øÐлƽðËÑË÷£¬ËÑË÷µãi = n_min+0. 618 (n_max-n_min)£¬ÔòÉèÖÃnjnax = i £» ·ñÔò£¬´ÓÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä×î´óÖµµÄ×ó²à½øÐлƽðËÑË÷£¬ËÑË÷µãi = n_max-0.618(n_ max-n_min)£¬±´UÉèÖà n¡ªmin = i £»¢Ü¸ù¾ÝÒÑÉ趨µÄ¾ù·½Îó²îÏÂÏÞÖµÅжϻƽðµãÊÇ·ñÂú×ãÎó²îÒªÇ󣬵±Âú×ãÎó²îÒªÇó ʱ£¬×î¼ÑÒþº¬²ã½ÚµãÊý¼´ÎªËÑË÷µãi £»·ñÔò£¬½øÈë²½Öè¢ÚÑ­»·¡£ÉÏÊö¸÷ʵʩÀý½öÊDZ¾·¢Ã÷µÄÓÅѡʵʩ·½Ê½£¬ÔÚ±¾¼¼ÊõÁìÓòÄÚ£¬·²ÊÇ»ùÓÚ±¾·¢Ã÷¼¼ Êõ·½°¸Éϵı仯ºÍ¸Ä½ø£¬²»Ó¦ÅųýÔÚ±¾·¢Ã÷µÄ±£»¤·¶Î§Ö®Íâ¡£
    ȨÀûÒªÇó
    Ò»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨£¬Æä²½ÖèÈçÏÂ(1)ͨ¹ýÔ¶³Ì¼à²âÕï¶ÏÖÐÐÄ»ñÈ¡¶Ô¹ÊÕÏÃô¸ÐµÄij²âµã´«¸ÐÆ÷Êä³öµÄÒ»¶ÎÁ¬ÐøÕñ¶¯Ðźţ»(2)ÀûÓÃ3¦Ò·½·¨ºÍ²åÖµ·½·¨¶Ô»ñÈ¡µÄÕñ¶¯Êý¾Ý·Ö±ð½øÐÐÒì³£ÖµÌÞ³ýºÍȱʧÊý¾ÝÌî²¹£¬µÃµ½Õñ¶¯Êý¾ÝÐòÁÐ{X1£¬¡­£¬Xn}£»(4)¶ÔÕñ¶¯Êý¾ÝÐòÁÐ{X1£¬¡­£¬Xn}½øÐйéÒ»»¯´¦ÀíºóµÃµ½ÐòÁÐ{x1£¬¡­£¬xn}£»(5)¸ù¾Ý¹éÒ»»¯´¦ÀíºóµÄÐòÁÐ{x1£¬¡­£¬xn}£¬¼ÆËã»ùÓÚÐÅÏ¢ìØ¼ÓȨϵÊýwSi£¬½ø¶ø¼ÆËã³ö¾­ìؼÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁÐ{y1£¬¡­£¬yn}£»(6)ÓÉÓÚʱ¼äÒòËØÓ°Ï죬ÀûÓÃʱ¼ä¼ÓȨ¶ÔìØ¼ÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁÐ{y1£¬¡­£¬yn}½øÐÐʱ¼ä¼ÓȨ¼ÆËãºó£¬µÃµ½Êý¾ÝÐòÁÐ{z1£¬¡­£¬zn}£»(7)ÀûÓÃÊý¾ÝÐòÁÐ{z1£¬¡­£¬zn}¹¹½¨·ÇÏßÐԵĶ¯Ì¬µÝ¹éÉñ¾­ÍøÂçÔ¤²âÄ£ÐÍ£¬²¢²ÉÓûƽð·Ö¸î·¨È·¶¨Òþº¬²ã×îÓŽڵãÊý£¬½ø¶øÈ·¶¨Éñ¾­ÍøÂç×î¼ÑÔ¤²âÄ£Ðͽṹ£¬½øÐйÊÕÏÇ÷ÊÆÔ¤²â£¬µÃµ½Ô¤²â½á¹û{u1£¬¡­£¬um}£¬mΪԤ²âµãµÄÊýÄ¿£»(8)¶ÔÇ÷ÊÆÔ¤²â½á¹û½øÐз´¹éÒ»»¯´¦Àí£¬µÃµ½Êµ¼ÊÔ¤²â½á¹û¡£
    2.ÈçȨÀûÒªÇó1ËùÊöµÄÒ»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚËùÊö ²½Öè(5)ÖУ¬ËùÊöÕñ¶¯ÐòÁо­ËùÊöìØ¼ÓȨºóµÃµ½ÐòÁÐ{y1;¡­£¬yn}ΪYi = XiWsi i = 1,2, ".¦Ç,ʽÖУ¬ÐÅÏ¢ìØ¼ÓȨϵÊý¶þ }£¬ÆäÖÐEiΪ·´Ó³Õñ¶¯Êý¾ÝЯ´øÐÅÏ¢Á¿µÄÐÅÏ¢ìØ£¬Ei="PiIog2Pi (i = 1,2,¡­£¬¦Ç)£¬PiΪ¸÷Õñ¶¯Êý¾ÝÌṩÐÅÏ¢µÄ¸ÅÂÊ£¬ (¦Æ. = 1£¬2£¬."£¬¡¶)0/=1
    3.ÈçȨÀûÒªÇó1ËùÊöµÄÒ»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚËùÊö ²½Öè(6)ÖУ¬ËùÊöÕñ¶¯ÐòÁо­ËùÊöʱ¼ä¼ÓȨºóµÃµ½Êý¾ÝÐòÁÐIz1,¡­£¬¦Æ¦Ç}ΪZi = Y1Wni i = 1,2,¡­¦Ç, ʽÖУ¬wNiΪʱ¼ä¼ÓȨϵÊý£¬ÆäΪ<formula>formula see original document page 2</formula>£¬ÆäÖÐ <formula>formula see original document page 2</formula>
    4.ÈçȨÀûÒªÇó1ËùÊöµÄÒ»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨£¬ÆäÌØÕ÷ÔÚÓÚËùÊö ²½Öè(7)ÖУ¬ËùÊöÒþº¬²ã×îÓŽڵãÊýµÄÈ·¶¨·½·¨ÈçÏ¢ٸù¾Ý¹«Ê½Il1= Iog2IiºÍÇÉ=V^ + ·Ö±ðÈ·¶¨Òþº¬²ã½ÚµãÊýËùÔÚµÄÇø¼äµÄ×îСֵ n_minºÍ×î´óÖµn_maX£¬ÆäÖУ¬¦ÇΪÊäÈëÉñ¾­ÔªÊý£¬mΪÊä³öÉñ¾­ÔªÊý£¬¦ÁΪ[1£¬10]Ö®¼äµÄ³£ Êý£»¢Ú¼ÆËãÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä¶Ëµã´¦µÄÎó²î¾ù·½E(n_min)ºÍE(n_maX)£»¢Û±È½Ï¶Ëµã´¦Îó²îµÄ´óС£¬µ±E(n_min)^E(n_max)ʱ£¬´ÓÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä×îС ÖµµÄÓÒ²à½øÐлƽðËÑË÷£¬ËÑË÷µãi = n_min+0. 618 (n_max-n_min)£¬ÔòÉèÖÃnjnax = i £»·´Ö®£¬´ÓÒþº¬²ã½ÚµãÊýËùÔÚÇø¼ä×î´óÖµµÄ×ó²à½øÐлƽðËÑË÷£¬ËÑË÷µãi = n_max-0. 618(n_max-n_ min),±´ÉèÖà n_min = i £»¢Ü¸ù¾ÝÒÑÉ趨µÄ¾ù·½Îó²îÏÂÏÞÖµÅжϻƽðµãÊÇ·ñÂú×ãÎó²îÒªÇ󣬵±Âú×ãÎó²îÒªÇóʱ£¬ ×î¼ÑÒþº¬²ã½ÚµãÊý¼´ÎªËÑË÷µãi £»·ñÔò£¬½øÈë²½Öè¢ÚÑ­»·¡£
    È«ÎÄÕªÒª
    ±¾·¢Ã÷Éæ¼°Ò»ÖÖ»úµçÉ豸Éñ¾­ÍøÂç¹ÊÕÏÇ÷ÊÆÔ¤²â·½·¨£¬(1)»ñÈ¡¶Ô¹ÊÕÏÃô¸ÐµÄij²âµã´«¸ÐÆ÷Êä³öµÄÒ»¶ÎÁ¬ÐøÕñ¶¯Ðźţ»(2)ÀûÓÃ3¦Ò·½·¨ºÍ²åÖµ·½·¨¶ÔÕñ¶¯Êý¾Ý·Ö±ð½øÐÐÒì³£ÖµÌÞ³ýºÍȱʧÊý¾ÝÌî²¹£»(3)¶ÔÕñ¶¯Êý¾ÝÐòÁнøÐйéÒ»»¯´¦Àí£»(4)¸ù¾Ý¹éÒ»»¯´¦ÀíºóµÄÐòÁУ¬¼ÆËã³ö¾­ìؼÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁУ»(5)ÓÉÓÚʱ¼äÒòËØÓ°Ï죬ÀûÓÃʱ¼ä¼ÓȨ¶ÔìØ¼ÓȨºóµÄÕñ¶¯Êý¾ÝÐòÁнøÐÐʱ¼ä¼ÓȨ¼ÆË㣻(6)ÀûÓÃÓɲ½Öè(6)µÃµ½µÄÊý¾ÝÐòÁй¹½¨·ÇÏßÐԵĶ¯Ì¬µÝ¹éÉñ¾­ÍøÂçÔ¤²âÄ£ÐÍ£¬²¢²ÉÓûƽð·Ö¸î·¨È·¶¨Òþº¬²ã×îÓŽڵãÊý£»(7)¶ÔÇ÷ÊÆÔ¤²â½á¹û½øÐз´¹éÒ»»¯´¦Àí£¬µÃµ½Êµ¼ÊÔ¤²â½á¹û¡£±¾·¢Ã÷ÓÉÓÚ²ÉÓö¯Ì¬Éñ¾­ÍøÂçÄ£ÐͽøÐÐÔ¤²â£¬Ìá¸ßÁ˹ÊÕÏÔ¤²â¿É¿¿ÐÔ¡£±¾·¢Ã÷¿ÉÒԹ㷺ӦÓÃÓÚ¸÷ÖÖ»úµçÉ豸¹ÊÕÏÔ¤²â·ÖÎöÖС£
    Îĵµ±àºÅG01M99/00GK101799367SQ201010101328
    ¹«¿ªÈÕ2010Äê8ÔÂ11ÈÕ ÉêÇëÈÕÆÚ2010Äê1ÔÂ27ÈÕ ÓÅÏÈȨÈÕ2010Äê1ÔÂ27ÈÕ
    ·¢Ã÷ÕßÐìСÁ¦, ÍõÉÙºì, Íõºì¾ü, ³ÂÌÎ ÉêÇëÈË:±±¾©ÐÅÏ¢¿Æ¼¼´óѧ

    • רÀûÃû³Æ£º²ñÓÍ»ú¹¤×÷ÉÏÖ¹µã¼ì²â×°ÖõÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷ÊôÓÚ²ñÓÍ»ú×°ÅäÖÆÔ칤ÒÕ¼ì²â¼¼ÊõÁìÓòÁìÓò£¬¾ßÌåÉæ¼°Ò»ÖÖ²ñÓÍ»ú¹¤×÷ÉÏ Ö¹µã¼ì²â×°Öᣱ³¾°¼¼Êõ£ºÔÚ²ñÓÍ»ú×°Åä¹ý³ÌÖУ¬ÅÌתÇúÖáÊÇ·¢¶¯»ú¹¤×°¹ý³ÌÖÐÒ»¸ö±ØÒª¹¤Ðò£¬×¼È·µÄÐýת ¶¨Î»ÊÇ×°ÅäÖÊÁ¿¹Ø¼ü
    • רÀûÃû³Æ£ºÄò±ê±¾±­Ö§¼ÜµÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÊôÓÚÒ½ÁÆÆ÷¼þÁìÓò£¬¾ßÌåµØËµ£¬Éæ¼°Ò»ÖÖÏ´ÊÖ¼äÓÃÄò ±ê±¾±­Ö§¼Ü¡£±³¾°¼¼Êõ£ºÔÚÒ½ÔºÃÅÕïµÄ¼ìÑé¿ÆÁÙ´²Êµ¼Ê¹¤×÷ÖУ¬·¢ÏÖ»¼Õßÿ´ÎÔÚÁôÈ¡Äò±ê ±¾ºó£¬ÔÚÎÀÉú¼äÄÚ Ò»ÊÖ³ÖÄò±ê±¾±­£¬ Ò»ÊÖÌá^¿â£¬ÍùÍùÊÖæ½ÅÂÒ
    • רÀûÃû³Æ£ºÄ¸»ùƬ¡¢ÓÃÓÚÏÔÊ¾Ãæ°åµÄ»ùƬ¼°ÏÔÊ¾Ãæ°åµÄÖÆÔì·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷Éæ¼°Ò»ÖÖĸ»ùƬ¡¢ÓÃÓÚÏÔÊ¾Ãæ°åµÄ»ùƬ¡¢ÒÔ¼°ÏÔÊ¾Ãæ°åµÄÖÆÔì·½·¨£¬¶ø¸ü¾ßÌåµØËµ£¬Éæ¼°Ò»ÖÖ¿ÉÒÔÌá¸ßÉèÖÃÓÐÇý¶¯Æ÷µÄÏÔÊ¾Ãæ°åÉú²úÂʼ°²úÁ¿µÄĸ»ùƬ¡¢ÓÃÓÚÏÔÊ¾Ãæ°åµÄ»ùƬ¡¢ÒÔ¼°ÏÔÊ¾Ãæ°åµÄ
    • רÀûÃû³Æ£ºÌú·³µÂÖÂÖÔµºñ¶È¶¯Ì¬¼ì²âÉ豸µÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖÌú·³µÂÖÂÖÔµºñ¶È¶¯Ì¬¼ì²âÉ豸£¬ÊôÓÚ»úе¼ì²âÉ豸½á¹¹µÄ¼¼ÊõÁìÓò£¬¾ßÌå˵ÊôÓÚ»úе¼ì²âÉ豸ÖÐÖ÷ÒªÓÃÓÚÌú·³µÂÖÂÖÔµºñ¶È¼ì²âÉ豸µÄ½á¹¹µÄ¼¼Êõ ÁìÓò¡£±³¾°¼¼Êõ£ºÔÚÌú·ÔËÓÃÖУ¬×ß
    • רÀûÃû³Æ£ºÊ³Æ·¼ôÇÐ×°ÖõÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾·¢Ã÷ÊôÓÚʳƷ¼ôÇÐÖÊµØÆ·Öʵļì²â×°Öã¬Ö÷ÒªÊÊÓÃÓÚ¸÷ÖÖË®¹û¡¢Ê߲ˡ¢ÈâÀàµÈµÈʳƷÖеÄÏà¹ØÑùÆ·µÄÄÛ¶È¡¢Ó²¶È¡¢´à¶ÈÒÔ¼°ÊʿڶȵÈÖʵØÖ¸±ê¼ì²âµÄʳƷ¼ôÇÐ×°Öᣱ³¾°¼¼Êõ£º Ëæ×ÅÈËÃÇÉú»îˮƽµÄÌá¸ß£¬¶ÔÊ³Æ·ÓªÑø³É·ÝºÍ
    • רÀûÃû³Æ£ºË®±í±í¿ÇµÄÖÆ×÷·½·¨¼¼ÊõÁìÓò£º±¾ÊµÓÃÐÂÐÍÉæ¼°Ò»ÖÖ×ÔÀ´Ë®Ë®±í±í¿Ç¡£±³¾°¼¼Êõ£ºÄ¿Ç°Ê¹ÓõÄË®±í±í¿ÇµÄ½ø¡¢³öË®¿Ú¶¼ÊÇ´¹Ö±ÓÚÍâ¿Ç±íÃæ£¬½ø¡¢³öË®¿Ú¹ÜÖÐÐÄÏßÓëÍ⠿ǺáÆÊÃæÔ²µÄÖÐÐÄÏßÖØºÏ£¬ÕâÖֽṹ¶ÔË®±íÄÚµÄÒ¶ÂÖ³å»÷Á¦½ÏС£¬ÌرðÊÇË®Á÷Á¿Ð¡Ê±£¬²»ÄÜ ³å
    ɽ¶«ÑÇÐÇÓÎÏ·¹ÙÍø»ú´²ÓÐÏÞ¹«Ë¾
    È«¹ú·þÎñÈÈÏߣº13062023238
    µç»°£º13062023238
    µØÖ·£ºëøÖÝÊÐÁúȪ¹¤ÒµÔ°68ºÅ
    ¹Ø¼ü´Ê£ºÏ³´²£¬Êý¿ØÏ³´²£¬ÁúÃÅϳ´²
    ¹«Ë¾¶þάÂë
    Copyright 2010-2024 °æÈ¨ËùÓÐ All rights reserved ³ICP±¸19044495ºÅ-12
    ¡¾ÍøÕ¾µØÍ¼¡¿¡¾sitemap¡¿