źÉդΥ桼¥¶ÄêµÁÈ¡¿ô¥Õ¥¡¥¤¥ë

ɸ½à¥é¥¤¥Ö¥é¥ê¥Ç¥£¥ì¥¯¥È¥ê (¥Ç¥Õ¥©¥ë¥È¤Ç¤Ï `/usr/local/lib/asir') ¤Ë¤Ï ¤¤¤¯¤Ä¤«¤Î¥æ¡¼¥¶ÄêµÁÈ¡¿ô¥Õ¥¡¥¤¥ë¤¬¤ª¤«¤ì¤Æ¤¤¤ë. ¤³¤ì¤é¤Î¤¦¤Á¤Î¼ç¤Ê¤â¤Î¤Ë¤Ä¤¤¤Æ ÀâÌÀ¤¹¤ë.

`fff'

Âçɸ¿ôÁÇÂΤª¤è¤Óɸ¿ô 2 ¤ÎÍ­¸ÂÂξå¤Î°ìÊÑ¿ô¿¹à¼°°ø¿ôʬ²ò (See section Í­¸ÂÂΤ˴ؤ¹¤ë±é»».)

`gr'

¥°¥ì¥Ö¥Ê´ðÄì·×»»¥Ñ¥Ã¥±¡¼¥¸. (See section ¥°¥ì¥Ö¥Ê´ðÄì¤Î·×»».)

`sp'

Âå¿ôŪ¿ô¤Î±é»»¤ª¤è¤Ó°ø¿ôʬ²ò, ºÇ¾®Ê¬²òÂÎ. (See section Âå¿ôŪ¿ô¤Ë´Ø¤¹¤ë±é»».)

`alpi'

`bgk'

`cyclic'

`katsura'

`kimura'

¥°¥ì¥Ö¥Ê´ðÄì·×»»¤Ë¤ª¤¤¤Æ, ¥Ù¥ó¥Á¥Þ¡¼¥¯¤½¤Î¾¤ÇÍѤ¤¤é¤ì¤ëÎã. (See section katsura, hkatsura, cyclic, hcyclic.)

`defs.h'

¤¤¤¯¤Ä¤«¤Î¥Þ¥¯¥íÄêµÁ. (See section ¥×¥ê¥×¥í¥»¥Ã¥µ.)

`fctrtest'

À°¿ô¾å¤Î¿¹à¼°¤Î°ø¿ôʬ²ò¤Î¥Æ¥¹¥È. REDUCE ¤Î `factor.tst' ¤ª¤è¤Ó ½ÅÊ£ÅÙ¤ÎÂ礭¤¤¤¤¤¯¤Ä¤«¤ÎÎã¤ò´Þ¤à. ¤³¤ì¤Ï, load() ¤¹¤ë¤È ľ¤Á¤Ë·×»»¤¬»Ï¤Þ¤ë. Æþ¼ê¤·¤¿ Asir ¤¬Àµ¤·¤¯Æ°ºî¤·¤Æ¤¤¤ë¤«¤Î ¥Æ¥¹¥È¤Ë¤â»È¤¦¤³¤È¤¬¤Ç¤­¤ë.

`fctrdata'

`fctrtest' ¤Ç»È¤ï¤ì¤Æ¤¤¤ëÎã¤ò´Þ¤à, °ø¿ôʬ²ò¥Æ¥¹¥ÈÍѤÎÎã. Alg[] ¤Ë¼ý¤á¤é¤ì¤Æ¤¤¤ëÎã¤Ï, af() (section asq, af, af_noalg) ÍѤÎÎã¤Ç¤¢¤ë.

[45] load("sp")$
[84] load("fctrdata")$
[175] cputime(1)$
0msec
[176] Alg[5];
x^9-15*x^6-87*x^3-125
0msec
[177] af(Alg[5],[newalg(Alg[5])]);
[[1,1],[75*x^2+(10*#0^7-175*#0^4-470*#0)*x+(3*#0^8-45*#0^5-261*#0^2),1],
[75*x^2+(-10*#0^7+175*#0^4+395*#0)*x+(3*#0^8-45*#0^5-261*#0^2),1],
[25*x^2+(25*#0)*x+(#0^8-15*#0^5-87*#0^2),1],[x^2+(#0)*x+(#0^2),1],
[x+(-#0),1]]
3.600sec + gc : 1.040sec

`ifplot'

ÉÁ²è (section ifplot, conplot, plot, polarplot, plotover) ¤Î¤¿¤á¤ÎÎã. IS[] ¤Ë¤Ïͭ̾¤Ê ¶ÊÀþ¤ÎÎã, ÊÑ¿ô H, D, C, S ¤Ë¤Ï¥È¥é¥ó¥×¤Î¥Ï¡¼¥È, ¥À¥¤¥ä, ¥¯¥é¥Ö, ¥¹¥Ú¡¼¥É (¤é¤·¤­) ¶ÊÀþ¤ÎÎ㤬Æþ¤Ã¤Æ¤¤¤ë.

`num'

¿ô¤Ë´Ø¤¹¤ë´Êñ¤Ê±é»»È¡¿ô¤ÎÎã.

`mat'

¹ÔÎó¤Ë´Ø¤¹¤ë´Êñ¤Ê±é»»È¡¿ô¤ÎÎã.

`ratint'

Í­ÍýÈ¡¿ô¤ÎÉÔÄêÀÑʬ. `sp', `gr' ¤¬É¬Í×. ratint() ¤È¤¤¤¦ È¡¿ô¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë¤¬, ¤½¤ÎÊÖ¤¹·ë²Ì¤Ï¤ä¤äÊ£»¨¤Ç¤¢¤ë. Îã¤ÇÀâÌÀ¤¹¤ë.

[0] load("gr")$
[45] load("sp")$
[84] load("ratint")$
[102] ratint(x^6/(x^5+x+1),x);
[1/2*x^2,
[[(#2)*log(-140*x+(-2737*#2^2+552*#2-131)),161*t#2^3-23*t#2^2+15*t#2-1],
[(#1)*log(-5*x+(-21*#1-4)),21*t#1^2+3*t#1+1]]]

¤³¤ÎÎã¤Ç¤Ï, x^6/(x^5+x+1) ¤ÎÉÔÄêÀÑʬ¤Î·×»»¤ò¹Ô¤Ã¤Æ¤¤¤ë. ·ë²Ì¤Ï 2 ¤Ä¤ÎÍ×ÁǤ«¤é¤Ê¤ë¥ê¥¹¥È¤Ç, Âè 1 Í×ÁǤÏÉÔÄêÀÑʬ¤ÎÍ­ÍýÉôʬ, Âè 2 Í×ÁǤÏÂпôÉôʬ¤òɽ¤¹. ÂпôÉôʬ¤Ï¹¹¤Ë¥ê¥¹¥È¤È¤Ê¤Ã¤Æ¤¤¤Æ, ³ÆÍ×ÁǤÏ, [root*log(poly),defpoly] ¤È¤¤¤¦·Á¤ò¤·¤Æ¤¤¤ë. ¤³¤ì¤Ï, ÉÔÄêÀÑʬ¤Ë ¤ª¤¤¤Æ¤Ï, defpoly ¤ÎÁ´¤Æ¤Îº¬ root ¤ËÂФ·¤Æ root*log(poly) ¤òºî¤ê¤½¤ì¤é¤ò­¤·¹ç¤ï¤»¤ë¤È¤¤¤¦°ÕÌ£¤Ç¤¢¤ë. ¤³¤³¤Ç poly ¤Ï root ¤ò´Þ¤ó¤Ç¤¤¤Æ, root ¤òÆþ¤ìÂؤ¨¤ë¾ì¹ç¤Ë¤Ï poly ¤ËÂФ·¤Æ¤âƱ¤¸Áàºî¤ò¹Ô¤¦¤â¤Î¤È¤¹¤ë. ¤³¤ÎÁàºî¤ò, ·ë²Ì¤ÎÂè 2 Í×ÁǤΠ³ÆÀ®Ê¬¤ËÂФ·¤Æ¹Ô¤Ã¤Æ, Á´¤Æ¤ò­¤·¹ç¤ï¤»¤¿¤â¤Î¤¬ÂпôÉôʬ¤È¤Ê¤ë.

`primdec'

¿¹à¼°¥¤¥Ç¥¢¥ë¤Î½àÁÇ¥¤¥Ç¥¢¥ëʬ²ò¤È¤½¤Îº¬´ð¤ÎÁÇ¥¤¥Ç¥¢¥ëʬ²ò (see section primadec, primedec).

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