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gr() ¤Ê¤É¤Î¥È¥Ã¥×¥ì¥Ù¥ëÈ¡¿ô¤Ï, ¤¤¤º¤ì¤â, ÆþÎÏ¿¹à¼°¥ê¥¹¥È¤Ë ¸½¤ì¤ëÊÑ¿ô (ÉÔÄ긵) ¤È, ÊÑ¿ô¥ê¥¹¥È¤Ë¸½¤ì¤ëÊÑ¿ô¤òÈæ³Ó¤·¤Æ, ÊÑ¿ô¥ê¥¹¥È¤Ë ¤Ê¤¤ÊÑ¿ô¤¬ÆþÎÏ¿¹à¼°¤Ë¸½¤ì¤Æ¤¤¤ë¾ì¹ç¤Ë¤Ï, ¼«Æ°Åª¤Ë, ¤½¤ÎÊÑ¿ô¤ò, ·¸¿ô ÂΤθµ¤È¤·¤Æ°·¤¦.

[64] gr([a*x+b*y-c,d*x+e*y-f],[x,y],2);
[(-e*a+d*b)*x-f*b+e*c,(-e*a+d*b)*y+f*a-d*c]

¤³¤ÎÎã¤Ç¤Ï, a, b, c, d ¤¬·¸¿ôÂΤθµ¤È¤·¤Æ °·¤ï¤ì¤ë. ¤¹¤Ê¤ï¤Á, Í­ÍýÈ¡¿ôÂÎ F = Q(a,b,c,d) ¾å¤Î 2 ÊÑ¿ô¿¹à¼°´Ä F[x,y] ¤Ë¤ª¤±¤ë¥°¥ì¥Ö¥Ê´ðÄì¤òµá¤á¤ë¤³¤È¤Ë¤Ê¤ë. Ãí°Õ¤¹¤Ù¤­¤³¤È¤Ï, ·¸¿ô¤¬ÂΤȤ·¤Æ°·¤ï¤ì¤Æ¤¤¤ë¤³¤È¤Ç¤¢¤ë. ¤¹¤Ê¤ï¤Á, ·¸¿ô¤Î´Ö¤Ë¿¹à¼° ¤È¤·¤Æ¤Î¶¦ÄÌ°ø»Ò¤¬¤¢¤Ã¤¿¾ì¹ç¤Ë¤Ï, ·ë²Ì¤«¤é¤½¤Î°ø»Ò¤Ï½ü¤«¤ì¤Æ¤¤¤ë ¤¿¤á, Í­Íý¿ôÂξå¤Î¿¹à¼°´Ä¾å¤ÎÌäÂê¤È¤·¤Æ¹Í¤¨¤¿¾ì¹ç¤Î·ë²Ì¤È¤Ï°ìÈÌ ¤Ë¤Ï°Û¤Ê¤ë. ¤Þ¤¿, ¼ç¤È¤·¤Æ·×»»¸úΨ¾å¤ÎÌäÂê¤Î¤¿¤á, ʬ»¶É½¸½Â¿¹à¼° ¤Î·¸¿ô¤È¤·¤Æ¼ÂºÝ¤Ëµö¤µ¤ì¤ë¤Î¤Ï¿¹à¼°¤Þ¤Ç¤Ç¤¢¤ë. ¤¹¤Ê¤ï¤Á, ʬÊì¤ò »ý¤ÄÍ­Íý¼°¤Ïʬ»¶É½¸½Â¿¹à¼°¤Î·¸¿ô¤È¤·¤Æ¤Ïµö¤µ¤ì¤Ê¤¤.

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