uinv_as_power_series, ureverse_inv_as_power_series

uinv_as_power_series(p,d)

ureverse_inv_as_power_series(p,d)

:: ¿¹à¼°¤òÑѵé¿ô¤È¤ß¤Æ, µÕ¸µ·×»»

return

°ìÊÑ¿ô¿¹à¼°

p

°ìÊÑ¿ô¿¹à¼°

d

ÈóÉéÀ°¿ô

• uinv_as_power_series(p,d) ¤Ï, Äê¿ô¹à¤¬ 0 ¤Ç¤Ê¤¤ ¿¹à¼° p ¤ËÂФ·, pr-1 ¤ÎºÇÄ㼡¿ô¤¬ d+1 °Ê¾å¤Ë¤Ê¤ë¤è¤¦¤Ê ¹â¡¹ d ¼¡¤Î¿¹à¼° r ¤òµá¤á¤ë.
• ureverse_inv_as_power_series(p,d) ¤Ï p ¤Î¼¡¿ô¤ò e ¤È¤¹¤ë¤È¤­, p1=ureverse(p,e) ¤ËÂФ·¤Æ uinv_as_power_series(p1,d) ¤ò·×»»¤¹¤ë.
• rembymul_precomp() ¤Î°ú¿ô¤È¤·¤ÆÍѤ¤¤ë¾ì¹ç, ureverse_inv_as_power_series() ¤Î·ë²Ì¤ò¤½¤Î¤Þ¤ÞÍѤ¤¤ë¤³¤È¤¬¤Ç¤­¤ë.

[123] A=(x+1)^5;                 
x^5+5*x^4+10*x^3+10*x^2+5*x+1
[124] uinv_as_power_series(A,5); 
-126*x^5+70*x^4-35*x^3+15*x^2-5*x+1
[126] A*R;
-126*x^10-560*x^9-945*x^8-720*x^7-210*x^6+1
[127] A=x^10+x^9;
x^10+x^9
[128] R=ureverse_inv_as_power_series(A,5);
-x^5+x^4-x^3+x^2-x+1
[129] ureverse(A)*R;
-x^6+1

»²¾È

section utrunc, udecomp, ureverse, section udiv, urem, urembymul, urembymul_precomp, ugcd.

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