È¥ÕÒ QQÍ·Ïñ http://www.7zhao.net
Ö÷ÎöÈ¡·¶Ê½·¨£º
?p?q???p??q???p?q???p??q?(??p??p???q??p?)??q??p??q?p??q?M1?m0?m2?m3£¬´Ó¶ø¿ÉÖª²»ÊÇÖØÑÔʽ£¬¹ÊÍÆÀí²»ÕýÈ·¡£
£¨5£©Éèp£º½ñÌìÊÇÐÇÆÚÒ»£¬q£ºÃ÷ÌìÊÇÐÇÆÚ¶þ£¬r£ºÃ÷ÌìÊÇÐÇÆÚÈý¡£ÍÆÀíµÄÐÎʽ½á¹¹Îªp?q?r¡£
p?(q?r)??p?q?r?M4?m0?m1?m2?m3?m4?m5?m6?m7£¬ÓÉ´Ë¿ÉÖªp?(q?s)²»ÎªÖØÑÔʽ£¬
¹ÊÍÆÀí²»ÕýÈ·¡£
ÏÔÈ»¸Ãʽ²»ÊÇÖØÑÔʽ£¬ËùÒÔÍÆÀí²»ÕýÈ·¡£
£¨6£©Éèp£º½ñÌìÊÇÐÇÆÚÒ»£¬r£ºÃ÷ÌìÊÇÐÇÆÚÈý£¬ÍÆÀíµÄÐÎʽ½á¹¹Îª(p?r)??p??r¡£
(p?r)??p??r??((p?r)?(r?p)??p)??r??(?p?r)??(?r?p)?p??r?(p??r)?(?p?r)?p??r?p?(?p?r)??r?p?m4?m5?m6?m7
7.ÔÚÏÂÃæ¸÷ÍÆÀíÖÐû¸ø³ö½áÂÛ¡£Çë¶ÔÓÚÿ¸öÍÆÀíǰÌá¸ø³öÁ½¸ö½áÂÛ£¬Ê¹ÆäÖÐÖ®Ò»ÊÇÓÐЧµÄ£¬¶øÁíÒ»¸ö²»ÊÇÓÐЧµÄ£º
£¨1£©Ç°Ì᣺p?q£¬q?r £¨2£©Ç°Ì᣺(p?q)?r£¬?r£¬q £¨3£©Ç°Ì᣺p?(q?r)£¬p£¬q
½â£º£¨1£©½áÂÛ1£ºp?rΪÓÐЧµÄ£¨¼ÙÑÔÈý¶ÎÂÛ£© ½áÂÛ2£ºpΪÎÞЧµÄ¡£
£¨2£©½áÂÛ1£º??p?q?ÊÇÓÐЧµÄ£¨¾Üȡʽ£©
½áÂÛ2£ºpÊÇÎÞЧµÄ
£¬ÓÉ´Ë¿ÉÖª²»ÎªÖØÑÔʽ£¬¹ÊÍÆÀí²»ÕýÈ·¡£
£¨3£©½áÂÛ1£º(q?r)ÊÇÓÐЧµÄ£¨¼ÙÑÔÈý¶ÎÂÛ£©
½áÂÛ2£ºrÊÇÎÞЧµÄ
8.ÔÚÏÂÃæ¸÷ÍÆÀíÖÐû¸ø³ö½áÂÛ£¬Çë¶ÔÓÚÿ¸öÍÆÀíǰÌá¸ø³öÁ½¸ö½áÂÛ£¬Ê¹ÆäÖÐÖ®Ò»ÊÇÓÐЧµÄ£¬¶øÁíÒ»¸ö²»ÊÇÓÐЧµÄ¡£
£¨1£©Ö»ÓÐÌìÆøÈÈ£¬ÎÒ²ÅÈ¥ÓÎÓ¾¡£ÎÒÕýÔÚÓÎÓ¾£¬ËùÒÔ??
ÎÄÕÂÀ´Ô´£ºhttp://www.7zhao.net
È¥ÕÒ QQÍ·Ïñ http://www.7zhao.net
£¨2£©Ö»ÓÐÌìÆøÈÈ£¬ÎÒ¾ÍÈ¥ÓÎÓ¾¡£ÎÒûȥÓÎÓ¾£¬ËùÒÔ??
£¨3£©³ý·ÇÌìÆøÈȲ¢ÇÒÎÒÓÐʱ¼ä£¬ÎÒ²ÅÈ¥ÓÎÓ¾¡£ÌìÆø²»ÈÈ»òÎÒûʱ¼ä£¬ËùÒÔ?? ½â£º
£¨1£©Éèp£ºÌìÆøÈÈ£¬q£ºÎÒÈ¥ÓÎÓ¾ ǰÌ᣺q?p,q
½áÂÛ1£ºp£¬ÓÐЧ½áÂÛ£¨¼ÙÑÔÍÆÀí£© ½áÂÛ2£º?p£¬ÎÞЧ½áÂÛ
£¨2£©Éèp£ºÌìÆøÈÈ£¬q£ºÎÒÈ¥ÓÎÓ¾¡£ ǰÌ᣺p?q,?q
½áÂÛ1£º?p£¬ÓÐЧ½áÂÛ£¨¾Üȡʽ£© ½áÂÛ2£ºp£¬ÎÞЧ½áÂÛ
£¨3£©Éèp£ºÌìÆøÈÈ£¬q£ºÎÒÓÐʱ¼ä£¬r£ºÎÒÈ¥ÓÎÓ¾¡£
ǰÌ᣺r??p?q?,?p??q ½áÂÛ1£º?r£¬ÓÐЧ½áÂÛ£¨¾Üȡʽ£© ½áÂÛ2£ºr£¬ÎÞЧ½áÂÛ¡£
9.ÓÃÈýÖÖ·½·¨£¨ÕæÖµ±í·¨£¬µÈÖµÑÝËã·¨£¬Ö÷ÎöÈ¡·¶Ê½·¨£©Ö¤Ã÷ÏÂÃæÍÆÀíÊÇÕýÈ·µÄ£º
ÈôaÊÇÆæÊý£¬Ôòa²»Äܱ»2Õû³ý¡£ÈôaÊÇżÊý£¬ÔòaÄܱ»2Õû³ý¡£Òò´Ë£¬Èç¹ûaÊÇżÊý£¬Ôòa²»ÊÇÆæÊý¡£
½â£ºÉèp£ºaÊÇÆæÊý£¬q£ºaÄܱ»2Õû³ý£¬r£ºaÊÇżÊý¡£
ÍÆÀíµÄÐÎʽ½á¹¹Îª?p??q???r?q???r??p?£¨*£©¡£ÏÂÃæÓÃÈýÖÖ·½·¨Ö¤Ã÷¸ÃÊ½ÎªÖØÑÔʽ£º
£¨1£© ÕæÖµ±í·¨£º
p q r 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 (p??q)?(r?q) 0 1 0 0 0 1 1 1 (r??p) 1 1 1 1 1 0 1 0 * 1 1 1 1 1 1 1 1 ÓÉÕæÖµ±í¿ÉÖª£¨*£©ÎªÖØÑÔʽ£¬¹ÊÍÆÀíÊÇÕýÈ·µÄ¡£
£¨2£© µÈÖµÑÝËã·¨£º
ÎÄÕÂÀ´Ô´£ºhttp://www.7zhao.net
È¥ÕÒ QQÍ·Ïñ http://www.7zhao.net
?p??q???r?q???r??p????p??q????r?q????r??p???p?q????q?r???p??r???p?q???p?????q?r???r?(½»»»ÂÉ£¬½áºÏÂÉ) ???p?q????q??r???p??q??q???r?1
£¨3£© ¹¹ÔìÖ¤Ã÷·¨£º
ǰÌ᣺?p??q?,?r?q? ½áÂÛ£º?r??p?
Ö¤Ã÷£º
¢Ùp??q ǰÌáÒýÈë ¢Úq??p ¢ÙÖû» ¢Ûr?q ǰÌáÒýÈë
¢Ür??p ¢Û¢Ú¼ÙÑÔÈý¶ÎÂÛ Ö÷ÎöÈ¡·¶Ê½·¨
ÓÉ·½·¨2¿ÉÒÔµÃÖªÍÆÀíµÄÐÎʽ½á¹¹£¨*£©µÄÖ÷ÎöÈ¡·¶Ê½Îª
(*)?m0?m1?m2?m3?m4?m5?m6?m7£¬Ôò£¨*£©ÎªÖØÑÔʽ£¬ÍÆÀíÕýÈ·¡£
10.ÓÃÁ½ÖÖ·½·¨£¨ÕæÖµ±í·¨£¬Ö÷ÎöÈ¡·¶Ê½·¨£©Ö¤Ã÷ÏÂÃæÍÆÀí²»ÕýÈ·£º
Èç¹ûa,bÁ½ÊýÖ®»ýÊǸºÊý£¬Ôòa,bÖ®ÖÐÇ¡ÓÐÒ»¸öÊǸºÊý¡£a,bÁ½ÊýÖ®»ý²»ÊǸºÊý£¬ËùÒÔa,bÖÐÎÞ¸ºÊý¡£
ÕæÖµ±í·¨£º
(q??r)?(?q?r) p?(q??r)?(?q?r) ?q??r p q r A 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 ÍÆÀí²»ÕýÈ·
Ö÷ÎöÈ¡·¶Ê½·¨£º
(p?((q??r)?(?q?r))?(?q?r))??p)?(?q??r)?(?p?(q??r)?(?q?r)??p?(?q??r))??p?(?q??r)?p?(?q??r)?m0?m4?m5?m6?m7ÎÄÕÂÀ´Ô´£ºhttp://www.7zhao.net
È¥ÕÒ QQÍ·Ïñ http://www.7zhao.net
ÓÉÓÚÖ÷ÎöÈ¡·¶Ê½Ö»º¬ÓÐ5¸ö¼«Ð¡ÏËùÒÔ£¨3.8£©²»ÊÇÖØÑÔʽ£¬ÍÆÀí²»ÕýÈ·¡£
11.Ìî³äÏÂÃæÍÆÀíÖ¤Ã÷ÖÐûÓÐд³öµÄÍÆÀí¹æÔò¡£ ǰÌ᣺?p?q£¬?q?r£¬r?s£¬p ½áÂÛ£ºs Ö¤Ã÷:
¢Ùp ǰÌáÒýÈë ¢Ú?p?q ǰÌáÒýÈë ¢Ûq ÎöÈ¡Èý¶ÎÂÛ ¢Ü?q?r ǰÌáÒýÈë
¢Ýr ÎöÈ¡Èý¶ÎÂÛ ¢Þr?s ǰÌáÒýÈë ¢ßs ¼ÙÑÔÍÆÀí
12.Ìî³äÏÂÃæÍÆÀíÖ¤Ã÷ÖÐûÓÐд³öµÄÍÆÀí¹æÔò¡£ ǰÌ᣺p?(q?r)£¬q?(r?s) ½áÂÛ£º(p?q)?s
Ö¤Ã÷£º
¢Ùp?q ¸½¼ÓǰÌáÒýÈë ¢Úp »¯¼ò¹æÔò ¢Ûq »¯¼ò¹æÔò ¢Üp?(q?r) ǰÌáÒýÈë ¢Ýq?r ǰÌáÒýÈë ¢Þr ¢Û¢Ý¼ÙÑÔÍÆÀí ¢ßq?(r?s) ǰÌáÒýÈë ¢àr?s ¢Û¢ß¼ÙÑÔÍÆÀí ¢ás ¢Þ¢à¼ÙÑÔÍÆÀí
13.ǰÌ᣺?(p?q)?q£¬p?q£¬r?s
½áÂÛ1£ºr ½áÂÛ2£ºs ½áÂÛ3£ºr?s
£¨1£©Ö¤Ã÷´Ó´ËǰÌá³ö·¢£¬ÍƳö½áÂÛ1£¬½áÂÛ2£¬½áÂÛ3µÄÍÆÀí¶¼ÊÇÕýÈ·µÄ¡£ £¨2£©Ö¤Ã÷´Ó´ËǰÌá³ö·¢£¬ÍÆÈκνáÂÛµÄÍÆÀí¶¼ÊÇÕýÈ·µÄ¡£
£¨1£© Ö¤Ã÷£º
½áÂÛ1£º
ÎÄÕÂÀ´Ô´£ºhttp://www.7zhao.net