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subst, psubst

subst(rat[,varn,ratn]*)
psubst(rat[,var,rat]*)
:: rat ¤Î varn ¤Ë ratn ¤òÂåÆþ (n=1,2,... ¤Çº¸¤«¤é±¦¤Ë½ç¼¡ÂåÆþ¤¹¤ë).
return
Í­Íý¼°
rat,ratn
Í­Íý¼°
varn
ÉÔÄ긵
  • Í­Íý¼°¤ÎÆÃÄê¤ÎÉÔÄ긵¤Ë, Äê¿ô¤¢¤ë¤¤¤Ï¿¹à¼°, Í­Íý¼°¤Ê¤É¤òÂåÆþ¤¹¤ë¤Î¤ËÍѤ¤¤ë.
  • subst(rat,var1,rat1,var2,rat2,...) ¤Ï, subst(subst(rat,var1,rat1),var2,rat2,...) ¤ÈƱ¤¸°ÕÌ£¤Ç¤¢¤ë.
  • ÆþÎϤκ¸Â¦¤«¤é½ç¤ËÂåÆþ¤ò·«¤êÊÖ¤¹¤¿¤á¤Ë, ÆþÎϤνç¤Ë¤è¤Ã¤Æ·ë²Ì¤¬ÊѤï¤ë¤³¤È¤¬¤¢¤ë.
  • subst() ¤Ï, sin() ¤Ê¤É¤ÎÈ¡¿ô¤Î°ú¿ô¤ËÂФ·¤Æ¤âÂåÆþ¤ò¹Ô¤¦. psubst() ¤Ï, ¤³¤Î¤è¤¦¤ÊÈ¡¿ô¤ò°ì¤Ä¤ÎÆÈΩ¤·¤¿ÉÔÄ긵¤È¸«¤Ê¤·¤Æ, ¤½ ¤Î°ú¿ô¤Ë¤ÏÂåÆþ¤Ï¹Ô¤ï¤Ê¤¤. (partial substitution ¤Î¤Ä¤â¤ê)
  • Asir ¤Ç¤Ï, Í­Íý¼°¤ÎÌóʬ¤Ï¼«Æ°Åª¤Ë¤Ï¹Ô¤ï¤Ê¤¤¤¿¤á, Í­Íý¼°¤ÎÂåÆþ¤Ï, »×¤ï¤Ì·×»»»þ´Ö¤ÎÁýÂç¤ò°ú¤­µ¯¤³¤¹¾ì¹ç¤¬¤¢¤ë. Í­Íý¼°¤òÂåÆþ¤¹¤ë¾ì¹ç¤Ë¤Ï, ÌäÂê¤Ë±þ¤¸¤¿ÆÈ¼«¤ÎÈ¡¿ô¤ò½ñ¤¤¤Æ, ¤Ê¤ë¤Ù¤¯Ê¬Êì, ʬ»Ò¤¬Â礭¤¯¤Ê¤é¤Ê¤¤¤è¤¦¤ËÇÛθ¤¹¤ë¤³¤È¤â¤·¤Ð¤·¤ÐɬÍפȤʤë.
  • ʬ¿ô¤òÂåÆþ¤¹¤ë¾ì¹ç¤âƱÍͤǤ¢¤ë.
[0] subst(x^3-3*y*x^2+3*y^2*x-y^3,y,2);
x^3-6*x^2+12*x-8
[1] subst(@@,x,-1);
-27
[2] subst(x^3-3*y*x^2+3*y^2*x-y^3,y,2,x,-1);
-27
[3] subst(x*y^3,x,y,y,x);  
x^4
[4] subst(x*y^3,y,x,x,y);    
y^4
[5] subst(x*y^3,x,t,y,x,t,y);
y*x^3
[6] subst(x*sin(x),x,t);
sint(t)*t
[7] psubst(x*sin(x),x,t);
sin(x)*t


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