±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 696  |  »Ø¸´: 8
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

xutodd

Òø³æ (СÓÐÃûÆø)

[½»Á÷] ¡¾ÇóÖú¡¿Ò»¸öÐÐÁÐʽÎÊÌ⣿

СµÜÏÖÔÚÏëÖ¤Ã÷ÏÂÃæÒ»¸ö¶«Î÷£¬²»ÖªµÀÓÐûÓÐÈ˼û¹ýÐÐÁÐʽµÄÕâ¸öÐÔÖÊûÓУ¿·³Çë¸ã´úÊý·½ÃæµÄ¸ßÊÖ½â´ð°¢£¬50½ð±Ò³êл£¡

¶ÔÓÚÒ»¸ö3*3µÄ¾ØÕó

           a11 a12 a13
  a22*det   a21 a22 a23   ==      
                 a31 a32 a33      
      
     det   a11 a12  *   det  a22 a23    --    det   a21 a22  *   det   a12 a13   
             a21 a22             a32 a33                  a31 a32              a22 a23

¶ÔÓÚÒ»¸ö4*4µÄ¾ØÕó

    a22 a23              a11 a12 a13 a14
det  a32 a33   *  det  a21 a22 a23 a24   ==      
                               a31 a32 a33 a34
                               a41 a42 a43 a44     
      
       a11 a12 a13            a12 a13 a14   
det  a21 a22 a23  *  det  a22 a23 a24
       a31 a32 a33            a32 a33 a34

             a22 a23 a24             a21 a22 a23  
  --   det a32 a33 a34  *  det   a31 a32 a33
             a42 a43 a44             a41 a42 a43

ÏÖÔÚÎÒÏëÖ¤Ã÷¶ÔÓÚN*NµÄ¾ØÕóÒ²Âú×ãÕâ¸öÐÔÖÊ¡£Ð»Ð»!

[ Last edited by xutodd on 2009-3-9 at 01:41 ]
»Ø¸´´ËÂ¥
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

·çÔÆ¼ý

Í­³æ (СÓÐÃûÆø)

¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
Â¥Ö÷¿ÉÒÔÔĶÁÒ»ÏÂÇ®¼ªÁÖ±àдµÄ¡¶¸ßµÈ´úÊýÌâ½â¾«´â¡·Õâ±¾ÊéµÄÐÐÁÐʽ²¿·Ö£¬ÀïÃæÓ¦¸ÃÓйØÓÚÕâµÀÌâÄ¿µÄÖ¤Ã÷µÄ£¬¾ßÌå·½·¨ÊÇÓõ½ÐÐÁÐʽµÄ³õµÈ±ä»»ºÍ°´Ò»ÐУ¨Ò»ÁУ©Õ¹¿ª¶¨Àí
9Â¥2009-10-03 08:19:37
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 9 ¸ö»Ø´ð

fspdlh

½ð³æ (ÕýʽдÊÖ)

¡ï ¡ï
µãµã·ç(½ð±Ò+2,VIP+0):¸Ðл²ÎÓëÌÖÂÛ£¬¼Ó·Ö¹ÄÀø£¡ 3-7 09:18
3¡Á3µÄ¾ØÕóû´í
>> x=det(sym('[ a ,b ,c ;d ,e ,f ;g ,h,i]'))

x =

i*a*e-a*f*h-i*d*b+d*c*h+g*b*f-g*c*e


>> y=det(sym('[a,b;d,e]'))*det(sym('[e,f;h,i]'))-det(sym('[b,c;e,f]'))*det(sym('[d,e;g,h]'))

y =

(a*e-d*b)*(i*e-f*h)-(b*f-c*e)*(d*h-e*g)


>> simplify(sym('e')*x-y)

ans =

0

[ Last edited by fspdlh on 2009-3-7 at 18:21 ]
3Â¥2009-03-06 20:08:25
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

fspdlh

½ð³æ (ÕýʽдÊÖ)

ÎÒÓÃMATLABÈ¡Ëæ»úÊý½øÐÐÁËһЩ¼ÆË㣬СÐÐÁÐʽֻÓÐΪN-2½×ʱ½áÂ۲ųÉÁ¢£¬¼ÆËãÁ˵±´óÐÐÁÐʽΪ100½×ʱҲ³ÉÁ¢¡£
µ«Õâ¸öÎÊÌâÖ¤ÆðÀ´Ëƺõ²»Ì«ÈÝÒ×£¬ÎÒ¾õµÃ£¬ÏÂÃæÊÇÎÒµÄһЩÏë·¨£¬Èý½×µÄÖ¤³öÀ´ÁË£¬Èý½×ÒÔÉϵĽøÐÐÁËÒ»µã¼ò»¯£¬Ï£ÍûÄܶÔÂ¥Ö÷ÓÐËùÆô·¢£¬ÄãÊÇÔõÑù·¢ÏÖÕâ¸ö¹æÂɵģ¿¿É·ñÒ»Æð·ÖÏí°¡£¿£¬ÓÐʲôʵ¼ÊÓ¦ÓÃÂð£¬Ò²ÐíÄܸø´ó¼ÒһЩÆô·¢¡£
ÏÂÃæÊÇÎÒ¹¹ÔìµÄÒ»¸öÐÐÁÐʽ£¬Ð¡a´ú±íÊý×Ö£¬´óA´ú±í¾ØÕó£¬ÒÔÑо¿N¡ÁN¾ØÕó£º
[ a11, A12, a13]
[ A21, A22, A23]
[ a31, A32, a33]
ËüµÄÖµ¿ÉÒÔд³ÉÏÂÃæÁ½¸öÐÐÁÐʽ֮ºÍ£º
[ a11, A12, a13]
[   0, A22, A23]
[ a31, A32, a33]

[   0, A12, a13]
[ A21, A22, A23]
[   0, A32, a33]
¶ÔµÚÒ»ÐС¢µÚÄ©ÐС¢µÚÒ»Áк͵ÚÄ©Áзֱð½øÐÐÕâÖÖ²Ù×÷£¬¿ÉµÃËüµÈÓÚÏÂÃæ16¸öÐÐÁÐʽ֮ºÍ£º
[ a11,   0, a13]
[   0, A22,   0]
[ a31,   0, a33]

[   0,   0, a13]
[ A21, A22,   0]
[   0,   0, a33]

[   0, A12,   0]
[   0, A22,   0]
[ a31,   0, a33]

[   0, A12,   0]
[ A21, A22,   0]
[   0,   0, a33]

[ a11,   0,   0]
[   0, A22, A23]
[ a31,   0,   0]

[   0,   0,   0]
[ A21, A22, A23]
[   0,   0,   0]

[   0, A12,   0]
[   0, A22, A23]
[ a31,   0,   0]

[   0, A12,   0]
[ A21, A22, A23]
[   0,   0,   0]

[ a11,   0, a13]
[   0, A22,   0]
[   0, A32,   0]

[   0,   0, a13]
[ A21, A22,   0]
[   0, A32,   0]

[   0, A12,   0]
[   0, A22,   0]
[   0, A32,   0]

[   0, A12,   0]
[ A21, A22,   0]
[   0, A32,   0]

[ a11,   0,   0]
[   0, A22, A23]
[   0, A32,   0]

[   0,   0,   0]
[ A21, A22, A23]
[   0, A32,   0]

[   0, A12,   0]
[   0, A22, A23]
[   0, A32,   0]

[   0, A12,   0]
[ A21, A22, A23]
[   0, A32,   0]
ÆäÖÐÓÐÁù¸öֵΪÁ㣬¾Å¸öÏÔÈ»·ûºÏÂ¥Ö÷µÄ½áÂÛ£¬Ö»ÓÐ×îºóÒ»¸öÎÒû¸ã¶¨£¬Ò²¾ÍÊÇ˵ֻҪ֤Ã÷ÒÔÏÂÐÐÁÐʽ·ûºÏ½áÂÛ¼´¿É£º
[   0, A12,   0]
[ A21, A22, A23]
[   0, A32,   0]
Õâ¸öÐÐÁÐʽµ±ÎªÈý½×ʱÏÔȻΪÁ㣬¾ÍÖ¤Ã÷ÁËÈý½×ʱ³ÉÁ¢£¬N>3ʱÍû¸ßÊÖ½â¾ö£¬ÆÚ´ý¡£

[ Last edited by fspdlh on 2009-3-7 at 18:23 ]
4Â¥2009-03-07 10:52:55
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

xutodd

Òø³æ (СÓÐÃûÆø)

ÕæÏë²»µ½¶þλ»áÕâôÈÈÐĵؼÓÈëµ½Õâ¸öÎÊÌâµÄÌÖÂÛ£¬Ì«¸Ð¶¯ÁË¡£
Õâ¸öÎÊÌâʱÎÒÔÙ¶Áһƪ´úÊý¼¸ºÎ·½ÃæµÄÂÛÎÄʱ·¢ÏÖµÄ[ALEXANDER POSTNIKOV£¬ ¡°TOTAL POSITIVITY, GRASSMANNIANS, AND NETWORKS¡±£¬available on-line as arXiv:math.CO/0609764.]

×òÌìÎÒÎÊÁËÒ»¸ö½ÌÊÚËû¸øÎÒ˵ÕâÓ¦¸ÃÓëPlucker¹ØÏµÊ½Óйأ¬ºóÀ´ÎҾ͹¹ÔìÁËÒ»¸ö¾ØÕó£¬È»ºóÀûÓÃPlucker¹ØÏµÊ½¡£ÎÒ¾õµÃ×Ô¼ºÒѾ­Ö¤Ã÷³öÀ´ÁË£¬¹ýÁ½ÌìÎÒ»á°Ñϸ½ÚÓÃtexд³öÀ´ÌùÔÚÕâÀлл´ó¼Ò°¢£¡
5Â¥2009-03-09 01:49:01
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 085602»¯Ñ§¹¤³Ì268·Ö¶×µ÷¼Á +8 ÔÂÕÕ»¨ÁÖ¡£ 2026-04-01 8/400 2026-04-01 22:08 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] ½­ËտƼ¼´óѧÕвÄÁÏÑо¿Éú +4 Su032713. 2026-04-01 5/250 2026-04-01 22:03 by cccchenso
[¿¼ÑÐ] 266·Ö£¬Ò»Ö¾Ô¸µçÆø¹¤³Ì£¬±¾¿Æ²ÄÁÏ£¬Çó²ÄÁÏרҵµ÷¼Á +8 ÍÛºôºßºôºß 2026-04-01 8/400 2026-04-01 21:41 by cal0306
[¿¼ÑÐ] 284Çóµ÷¼Á +12 СÐÜ¡«¡« 2026-03-31 12/600 2026-04-01 20:23 by »¨??
[¿¼ÑÐ] ²ÄÁÏרҵµ÷¼Á +5 À²À²À²¿Þ 2026-03-31 6/300 2026-04-01 16:48 by JourneyLucky
[¿¼ÑÐ] 0856³õÊÔ324·ÖÇóµ÷¼Á +5 ÏëÉÏѧÇóµ÷ 2026-04-01 5/250 2026-04-01 15:28 by ¿¼ÑÐÉϰ¶Ñ½Ò»¶¨Ò
[˶²©¼ÒÔ°] ¿¼Ñе÷¼Á +5 ÂæÍÕÄÐÈË 2026-04-01 5/250 2026-04-01 14:28 by syjjj0321
[¿¼ÑÐ] Çó0861½»Í¨ÔËÊäר˶or²ÄÁÏר˶µ÷¼Á +4 ÀÕ²¼ÀÊ@ 2026-03-31 4/200 2026-04-01 09:54 by Ò»Ö»ºÃ¹û×Ó?
[¿¼ÑÐ] 349Çóµ÷¼Á +6 zwjjjjjj 2026-03-31 6/300 2026-04-01 09:16 by JourneyLucky
[¿¼ÑÐ] 0805Çóµ÷¼Á +6 ÊÇË®·Ö 2026-03-31 6/300 2026-04-01 09:05 by oooqiao
[¿¼ÑÐ] Ò»Ö¾Ô¸Î÷µç085401ÊýÒ»Ó¢Ò»299Çóµ÷¼Á Áù¼¶521 +4 °®³Ô´óѼÀæ 2026-03-31 4/200 2026-03-31 11:51 by ²«»÷518
[¿¼ÑÐ] 083000ѧ˶274Çóµ÷¼Á +12 LiÀîÓã 2026-03-26 12/600 2026-03-31 10:01 by cal0306
[¿¼ÑÐ] 293·ÖÇóµ÷¼Á£¬ÍâÓïΪ¶íÓï +5 ¼ÓÒ»Ò»¾Å 2026-03-31 5/250 2026-03-31 09:39 by zhshch
[¿¼ÑÐ] 303Çóµ÷¼Á +7 DLkz1314. 2026-03-30 7/350 2026-03-30 21:07 by peike
[¿¼ÑÐ] 304²ÄÁÏÇóµ÷¼Á +5 ÖÓllll 2026-03-26 5/250 2026-03-30 19:37 by Ô´_2020
[¿¼ÑÐ] 297Çóµ÷¼Á +17 ÌïºéÓÐ 2026-03-26 18/900 2026-03-30 18:32 by nothingͶ¸åÖÐ
[¿¼ÑÐ] 328Çóµ÷¼Á +8 àŵεĻù±¾¶¼ 2026-03-27 8/400 2026-03-30 17:20 by Wang200018
[¿¼ÑÐ] һ־Ը˫һÁ÷»úе285·ÖÇóµ÷¼Á +4 ÐÒÔ˵ÄÈýľ 2026-03-29 5/250 2026-03-29 14:49 by Miko19
[¿¼ÑÐ] Çóµ÷¼Á +7 ÕùÈ¡¾Åµã˯ 2026-03-28 8/400 2026-03-28 21:07 by ÕùÈ¡¾Åµã˯
[¿¼ÑÐ] 341Çóµ÷¼Á +7 ÇàÄûÃÊ1 2026-03-26 7/350 2026-03-27 00:19 by wxiongid
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û