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Annotation of OpenXM/src/asir-doc/parts/appendix.texi, Revision 1.1.1.1

1.1       noro        1: @node $BIUO?(B,,, Top
                      2: @appendix $BIUO?(B
                      3:
                      4: @menu
                      5: * $BJ8K!$N>\:Y(B::
                      6: * $BE:IU$N%f!<%6Dj5AH!?t%U%!%$%k(B::
                      7: * $BF~NO%$%s%?%U%'!<%9(B::
                      8: * $BJQ99E@(B::
                      9: * $BJ88%(B::
                     10: @end menu
                     11:
                     12: @node $BJ8K!$N>\:Y(B,,, $BIUO?(B
                     13: @section $BJ8K!$N>\:Y(B
                     14:
                     15: @example
                     16: <$B<0(B>: (@xref{$B$5$^$6$^$J<0(B})
                     17:     @samp{(}<$B<0(B>@samp{)}
                     18:     <$B<0(B> <$BFs9`1i;;;R(B> <$B<0(B>
                     19:     @samp{+} <$B<0(B>
                     20:     @samp{-} <$B<0(B>
                     21:     <$B:8JUCM(B>
                     22:     <$B:8JUCM(B> <$BBeF~1i;;;R(B> <$B<0(B>
                     23:     <$B:8JUCM(B> @samp{++}
                     24:     <$B:8JUCM(B> @samp{--}
                     25:     @samp{++} <$B:8JUCM(B>
                     26:     @samp{--} <$B:8JUCM(B>
                     27:     @samp{!} <$B<0(B>
                     28:     <$B<0(B> @samp{?} <$B<0(B> @samp{:} <$B<0(B>
                     29:     <$BH!?t(B> @samp{(} <$B<0JB$S(B> @samp{)}
                     30:     <$BJ8;zNs(B>
                     31:     <$B;X?t%Y%/%H%k(B>
                     32:     <$B%"%H%`(B>
                     33:     <$B%j%9%H(B>
                     34: @end example
                     35:
                     36: @example
                     37: <$B:8JUCM(B>:
                     38:     <$BJQ?t(B> [@samp{[}<$B<0(B>@samp{]}]*
                     39: @end example
                     40:
                     41: @example
                     42: <$BFs9`1i;;;R(B>:
                     43:     @samp{+} @samp{-} @samp{*} @samp{/} @samp{%} @samp{^}($BQQ(B)
                     44:     @samp{==} @samp{!=} @samp{<} @samp{>} @samp{<=} @samp{>=} @samp{&&} @samp{||}
                     45: @end example
                     46:
                     47: @example
                     48: <$BBeF~1i;;;R(B>:
                     49:     @samp{=} @samp{+=} @samp{-=} @samp{*=} @samp{/=} @samp{%=} @samp{^=}
                     50: @end example
                     51:
                     52: @example
                     53: <$B<0JB$S(B>:
                     54:     <$B6u(B>
                     55:     <$B<0(B> [@samp{,} <$B<0(B>]*
                     56: @end example
                     57:
                     58: @example
                     59: <$B%j%9%H(B>:
                     60:     @samp{[} <$B<0JB$S(B> @samp{]}
                     61: @end example
                     62:
                     63: @example
                     64: <$BJQ?t(B>: (@xref{$BJQ?t$*$h$SITDj85(B})
                     65:     $BBgJ8;z$G;O$^$kJ8;zNs(B (X,Y,Japan $B$J$I(B)
                     66: @end example
                     67:
                     68: @example
                     69: <$BH!?t(B>:
                     70:    $B>.J8;z$G;O$^$kJ8;zNs(B (fctr,gcd $B$J$I(B)
                     71: @end example
                     72:
                     73: @example
                     74: <$B%"%H%`(B>:
                     75:    <$BITDj85(B>
                     76:    <$B?t(B>
                     77: @end example
                     78:
                     79: @example
                     80: <$BITDj85(B>: (@xref{$BJQ?t$*$h$SITDj85(B})
                     81:    $B>.J8;z$G;O$^$kJ8;zNs(B (a,bCD,c1_2 $B$J$I(B)
                     82: @end example
                     83:
                     84: @example
                     85: <$B?t(B>: (@xref{$B?t$N7?(B})
                     86:    <$BM-M}?t(B>
                     87:    <$BIbF0>.?t(B>
                     88:    <$BBe?tE*?t(B>
                     89:    <$BJ#AG?t(B>
                     90: @end example
                     91:
                     92: @example
                     93: <$BM-M}?t(B>:
                     94:    0, 1, -2, 3/4
                     95: @end example
                     96:
                     97: @example
                     98: <$BIbF0>.?t(B>:
                     99:    0.0, 1.2e10
                    100: @end example
                    101:
                    102: @example
                    103: <$BBe?tE*?t(B>: (@xref{$BBe?tE*?t$K4X$9$k1i;;(B})
                    104:    newalg(x^2+1), alg(0)^2+1
                    105: @end example
                    106:
                    107: @example
                    108: <$BJ#AG?t(B>:
                    109:    1+@code{@@i}, 2.3*@code{@@i}
                    110: @end example
                    111:
                    112: @example
                    113: <$BJ8;zNs(B>:
                    114:    @samp{"} $B$G0O$^$l$?J8;zNs(B
                    115: @end example
                    116:
                    117: @example
                    118: <$B;X?t%Y%/%H%k(B>: (@xref{$B%0%l%V%J4pDl$N7W;;(B})
                    119:    @samp{<<} <$B<0JB$S(B> @samp{>>}
                    120: @end example
                    121:
                    122: @example
                    123: <$BJ8(B>: (@xref{$BJ8(B})
                    124:     <$B<0(B> <$B=*C<(B>
                    125:     <$BJ#J8(B>
                    126:     @samp{break} <$B=*C<(B>
                    127:     @samp{continue} <$B=*C<(B>
                    128:     @samp{return} <$B=*C<(B>
                    129:     @samp{return} <$B<0(B> <$B=*C<(B>
                    130:     @samp{if} @samp{(} <$B<0JB$S(B> @samp{)} <$BJ8(B>
                    131:     @samp{if} @samp{(} <$B<0JB$S(B> @samp{)} <$BJ8(B> @samp{else} <$BJ8(B>
                    132:     @samp{for} @samp{(} <$B<0JB$S(B> @samp{;} <$B<0JB$S(B> @samp{;} <$B<0JB$S(B> @samp{)} <$BJ8(B>
                    133:     @samp{do} <$BJ8(B> @samp{while} @samp{(} <$B<0JB$S(B> @samp{)} <$B=*C<(B>
                    134:     @samp{while} @samp{(} <$B<0JB$S(B> @samp{)} <$BJ8(B>
                    135:     @samp{def} <$BH!?t(B> @samp{(} <$B<0JB$S(B> @samp{)} @samp{@{} <$BJQ?t@k8@(B> <$BJ8JB$S(B> @samp{@}}
                    136:     @samp{end(quit)} <$B=*C<(B>
                    137: @end example
                    138:
                    139: @example
                    140: <$B=*C<(B>:
                    141:     @samp{;} @samp{$}
                    142: @end example
                    143:
                    144: @example
                    145: <$BJQ?t@k8@(B>:
                    146:     [@samp{extern} <$BJQ?t(B> [@samp{,} <$BJQ?t(B>]* <$B=*C<(B>]*
                    147: @end example
                    148:
                    149: @example
                    150: <$BJ#J8(B>:
                    151:     @samp{@{} <$BJ8JB$S(B> @samp{@}}
                    152: @end example
                    153:
                    154: @example
                    155: <$BJ8JB$S(B>:
                    156:     [<$BJ8(B>]*
                    157: @end example
                    158:
                    159: @node $BE:IU$N%f!<%6Dj5AH!?t%U%!%$%k(B,,, $BIUO?(B
                    160: @section $BE:IU$N%f!<%6Dj5AH!?t%U%!%$%k(B
                    161:
                    162: @noindent
                    163: $BI8=`%i%$%V%i%j%G%#%l%/%H%j(B ($B%G%U%)%k%H$G$O(B @samp{/usr/local/lib/asir}) $B$K$O(B
                    164: $B$$$/$D$+$N%f!<%6Dj5AH!?t%U%!%$%k$,$*$+$l$F$$$k(B. $B$3$l$i$N$&$A$N<g$J$b$N$K$D$$$F(B
                    165: $B@bL@$9$k(B.
                    166:
                    167: @table @samp
                    168: @item fff
                    169: $BBgI8?tAGBN$*$h$SI8?t(B 2 $B$NM-8BBN>e$N0lJQ?tB?9`<00x?tJ,2r(B (@xref{$BM-8BBN$K4X$9$k1i;;(B})
                    170: @item gr
                    171: $B%0%l%V%J4pDl7W;;%Q%C%1!<%8(B.  (@xref{$B%0%l%V%J4pDl$N7W;;(B})
                    172: @item sp
                    173: $BBe?tE*?t$N1i;;$*$h$S0x?tJ,2r(B, $B:G>.J,2rBN(B. (@xref{$BBe?tE*?t$K4X$9$k1i;;(B})
                    174: @item alpi
                    175: @itemx bgk
                    176: @itemx cyclic
                    177: @itemx katsura
                    178: @itemx kimura
                    179: $B%0%l%V%J4pDl7W;;$K$*$$$F(B, $B%Y%s%A%^!<%/$=$NB>$GMQ$$$i$l$kNc(B.
                    180: (@xref{katsura hkatsura cyclic hcyclic})
                    181: @item defs.h
                    182: $B$$$/$D$+$N%^%/%mDj5A(B. (@xref{$B%W%j%W%m%;%C%5(B})
                    183: @item fctrtest
                    184: $B@0?t>e$NB?9`<0$N0x?tJ,2r$N%F%9%H(B. REDUCE $B$N(B @samp{factor.tst} $B$*$h$S(B
                    185: $B=EJ#EY$NBg$-$$$$$/$D$+$NNc$r4^$`(B. $B$3$l$O(B, @code{load()} $B$9$k$H(B
                    186: $BD>$A$K7W;;$,;O$^$k(B. $BF~<j$7$?(B @b{Asir} $B$,@5$7$/F0:n$7$F$$$k$+$N(B
                    187: $B%F%9%H$K$b;H$&$3$H$,$G$-$k(B.
                    188: @item fctrdata
                    189: @samp{fctrtest} $B$G;H$o$l$F$$$kNc$r4^$`(B, $B0x?tJ,2r%F%9%HMQ$NNc(B.
                    190: @code{Alg[]} $B$K<}$a$i$l$F$$$kNc$O(B, @code{af()} (@xref{asq af}) $BMQ$NNc$G$"$k(B.
                    191: @example
                    192: [45] load("sp")$
                    193: [84] load("fctrdata")$
                    194: [175] cputime(1)$
                    195: 0msec
                    196: [176] Alg[5];
                    197: x^9-15*x^6-87*x^3-125
                    198: 0msec
                    199: [177] af(Alg[5],[newalg(Alg[5])]);
                    200: [[1,1],[75*x^2+(10*#0^7-175*#0^4-470*#0)*x+(3*#0^8-45*#0^5-261*#0^2),1],
                    201: [75*x^2+(-10*#0^7+175*#0^4+395*#0)*x+(3*#0^8-45*#0^5-261*#0^2),1],
                    202: [25*x^2+(25*#0)*x+(#0^8-15*#0^5-87*#0^2),1],[x^2+(#0)*x+(#0^2),1],
                    203: [x+(-#0),1]]
                    204: 3.600sec + gc : 1.040sec
                    205: @end example
                    206: @item ifplot
                    207: $BIA2h(B (@xref{ifplot conplot plot plotover}) $B$N$?$a$NNc(B. @code{IS[]} $B$K$OM-L>$J(B
                    208: $B6J@~$NNc(B, $BJQ?t(B @code{H, D, C, S} $B$K$O%H%i%s%W$N%O!<%H(B, $B%@%$%d(B, $B%/%i%V(B,
                    209: $B%9%Z!<%I(B ($B$i$7$-(B) $B6J@~$NNc$,F~$C$F$$$k(B.
                    210: @item num
                    211: $B?t$K4X$9$k4JC1$J1i;;H!?t$NNc(B.
                    212: @item mat
                    213: $B9TNs$K4X$9$k4JC1$J1i;;H!?t$NNc(B.
                    214: @item ratint
                    215: $BM-M}H!?t$NITDj@QJ,(B. @samp{sp}, @samp{gr} $B$,I,MW(B. @code{ratint()} $B$H$$$&(B
                    216: $BH!?t$,Dj5A$5$l$F$$$k$,(B, $B$=$NJV$97k2L$O$d$dJ#;($G$"$k(B. $BNc$G@bL@$9$k(B.
                    217: @example
                    218: [0] load("gr")$
                    219: [45] load("sp")$
                    220: [84] load("ratint")$
                    221: [102] ratint(x^6/(x^5+x+1),x);
                    222: [1/2*x^2,
                    223: [[(#2)*log(-140*x+(-2737*#2^2+552*#2-131)),161*t#2^3-23*t#2^2+15*t#2-1],
                    224: [(#1)*log(-5*x+(-21*#1-4)),21*t#1^2+3*t#1+1]]]
                    225: @end example
                    226: $B$3$NNc$G$O(B, @code{x^6/(x^5+x+1)} $B$NITDj@QJ,$N7W;;$r9T$C$F$$$k(B.
                    227: $B7k2L$O(B 2 $B$D$NMWAG$+$i$J$k%j%9%H$G(B, $BBh(B 1 $BMWAG$OITDj@QJ,$NM-M}ItJ,(B,
                    228: $BBh(B 2 $BMWAG$OBP?tItJ,$rI=$9(B. $BBP?tItJ,$O99$K%j%9%H$H$J$C$F$$$F(B, $B3FMWAG$O(B,
                    229: @code{[root*log(poly),defpoly]} $B$H$$$&7A$r$7$F$$$k(B. $B$3$l$O(B, $BITDj@QJ,$K(B
                    230: $B$*$$$F$O(B, @code{defpoly} $B$NA4$F$N:,(B @code{root} $B$KBP$7$F(B @code{root*log(poly)}
                    231: $B$r:n$j$=$l$i$rB-$79g$o$;$k$H$$$&0UL#$G$"$k(B. $B$3$3$G(B @code{poly} $B$O(B
                    232: @code{root} $B$r4^$s$G$$$F(B, @code{root} $B$rF~$lBX$($k>l9g$K$O(B @code{poly}
                    233: $B$KBP$7$F$bF1$8A`:n$r9T$&$b$N$H$9$k(B. $B$3$NA`:n$r(B, $B7k2L$NBh(B 2 $BMWAG$N(B
                    234: $B3F@.J,$KBP$7$F9T$C$F(B, $BA4$F$rB-$79g$o$;$?$b$N$,BP?tItJ,$H$J$k(B.
                    235: @item primdec
                    236: $BB?9`<0%$%G%"%k$N=`AG%$%G%"%kJ,2r$H$=$N:,4p$NAG%$%G%"%kJ,2r(B
                    237: (@code{[Shimoyama,Yokoyama]} $B;2>H(B).
                    238: $B=`AG%$%G%"%kJ,2r$O(B @code{primadec()}, $BAG%$%G%"%kJ,2r$O(B, @code{primedec()}
                    239: $B$H$$$&4X?t$G(B, $BMQ0U$5$l$F$$$k(B. $B0z?t$O(B, $BB?9`<0%j%9%H$HJQ?t$G$"$k(B.
                    240: $BM-M}<078?t$NB?9`<0%$%G%"%k$d(B, 0$B<!85$G$J$$%$%G%"%k$b07$($k(B.
                    241: @code{primadec} $B$O(B, $B=`AG@.J,$H$=$NAG@.J,$N%Z%"%j%9%H$N%j%9%H$rJV$9(B.
                    242: @code{primedec} $B$O(B, $BAG@.J,$N%j%9%H$rJV$9(B.
                    243: $B$=$N7k2L$O$$$:$l$b%0%l%V%J4pDl$K$J$C$F$$$k$,(B, $B$=$N(B
                    244: $BJQ?t=g=x$O(B, $B$=$l$>$lBg0hJQ?t(B @code{PRIMAORD}, @code{PRIMEORD}
                    245:  $B$NCM(B 0,1 $B$"$k$$$O(B 2 $B$K$h$C$F7h$^$k(B.
                    246: @example
                    247: [84] load("primdec")$
                    248: [102] primedec([p*q*x-q^2*y^2+q^2*y,-p^2*x^2+p^2*x+p*q*y,
                    249: (q^3*y^4-2*q^3*y^3+q^3*y^2)*x-q^3*y^4+q^3*y^3,
                    250: -q^3*y^4+2*q^3*y^3+(-q^3+p*q^2)*y^2],[p,q,x,y]);
                    251: [[y,x],[y,p],[x,q],[q,p],[x-1,q],[y-1,p],[(y-1)*x-y,q*y^2-2*q*y-p+q]]
                    252: [103] primadec([x,z*y,w*y^2,w^2*y-z^3,y^3],[x,y,z,w]);
                    253: [[[x,z*y,y^2,w^2*y-z^3],[z,y,x]],[[w,x,z*y,z^3,y^3],[w,z,y,x]]]
                    254: @end example
                    255: @end table
                    256:
                    257: @node $BF~NO%$%s%?%U%'!<%9(B,,, $BIUO?(B
                    258: @section $BF~NO%$%s%?%U%'!<%9(B
                    259:
                    260: $B4{$K=R$Y$?$h$&$K(B, DOS $BHG(B, Windows $BHG(B, Macintosh $BHG$G$OF~NO%$%s%?%U%'!<%9$H(B
                    261: $B$7$F%3%^%s%I%i%$%sJT=8$*$h$S%R%9%H%jCV$-49$($,AH$_9~$^$l$F$$$k(B. UNIX $BHG$G$O(B
                    262: $B$3$N$h$&$J5!G=$OAH$_9~$^$l$F$$$J$$$,(B, $B0J2<$G=R$Y$k$h$&$JF~NO%$%s%?%U%'!<%9(B
                    263: $B$,MQ0U$5$l$F$$$k(B. $B$3$l$i$O(B @b{Asir} $B%P%$%J%j$H$H$b$K(B ftp $B2DG=$G$"$k(B.
                    264: ftp server $B$K4X$7$F$O(B @xref{$BF~<jJ}K!(B}.
                    265:
                    266: @menu
                    267: * fep::
                    268: * asir.el::
                    269: @end menu
                    270:
                    271: @node fep,,, $BF~NO%$%s%?%U%'!<%9(B
                    272: @subsection fep
                    273:
                    274: @noindent
                    275: fep $B$H$O(B, SRA $B$N2NBe;a$K$h$j3+H/$5$l$?%3%^%s%I%i%$%sJT=8(B, $B%R%9%H%jCV$-49$((B
                    276: $BMQ$NF~NO%U%m%s%H%(%s%I$G$"$k(B. $B$3$N%W%m%0%i%`$N85$G(B @samp{asir} $B$r5/F0$9$k(B
                    277: $B$3$H$K$h$j(B vi $B$"$k$$$O(B emacs $BIw$N%3%^%s%I%i%$%sJT=8$*$h$S(B csh $BIw$N%R%9%H%j(B
                    278: $BCV$-49$($,2DG=$K$J$k(B.
                    279:
                    280: @example
                    281: % fep asir
                    282: ...
                    283: [0] fctr(x^5-1);
                    284: [[1,1],[x-1,1],[x^4+x^3+x^2+x+1,1]]
                    285: [1] !!                              /* !!+Return                      */
                    286: fctr(x^5-1);                        /* $BD>A0$NF~NO$,8=$l$k$FJT=8$G$-$k(B */
                    287: ...                                 /* $BJT=8(B+Return                    */
                    288: fctr(x^5+1);
                    289: [[1,1],[x+1,1],[x^4-x^3+x^2-x+1,1]]
                    290: @end example
                    291:
                    292: @noindent
                    293: fep $B$O%U%j!<%=%U%H$G%=!<%9$,F~<j2DG=$G$"$k$,(B, $B%*%j%8%J%k$N$b$N$O(B make $B$G$-$k(B
                    294: $B5!<o(B (OS) $B$,8B$i$l$F$$$k(B. $B$$$/$D$+$N5!<o>e$GF0:n$9$k$h$&$K2f!9$,2~B$$7$?$b$N(B
                    295: $B$,(B, ftp $B$GF~<j2DG=$G$"$k(B.
                    296:
                    297: @node asir.el,,, $BF~NO%$%s%?%U%'!<%9(B
                    298: @subsection asir.el
                    299:
                    300: @noindent
                    301: @samp{asir.el} $B$O(B, @b{Asir} $B$N(B GNU Emacs $B%$%s%?%U%'!<%9$G$"$k(B ($BCx<T$O(B
                    302: $B5\Eh8w<#;a(B (@code{YVE25250@@pcvan.or.jp}).  @samp{asir.el} $B$K$*$$$F$O(B,
                    303: $BDL>o$N(B emacs $B$G2DG=$JJT=85!G=$NB>$K(B, $B%U%!%$%kL>(B, $B%3%^%s%IL>$N(B completion
                    304: $B$,<B8=$5$l$F$$$k(B.
                    305:
                    306: @noindent
                    307: @samp{asir.el} $B$O(B PC-VAN $B$G(B
                    308: $B4{$K8x3+$5$l$F$$$k$,(B, $B:#2s$N2~D{$KH<$&JQ99$r9T$C$?$b$N$,(B, $B$d$O$j(B ftp $B$G(B
                    309: $BF~<j2DG=$G$"$k(B.
                    310:
                    311: @noindent
                    312: $B%;%C%H%"%C%W(B, $B;HMQJ}K!$O(B, @samp{asir.el} $B$N@hF,$K5-=R$5$l$F$$$k(B.
                    313:
                    314: @node $BJQ99E@(B,,, $BIUO?(B
                    315: @section $BJQ99E@(B
                    316:
                    317: @menu
                    318: * Version 990831::
                    319: * Version 950831::
                    320: * Version 940420::
                    321: @end menu
                    322:
                    323: @node Version 990831,,, $BJQ99E@(B
                    324: @subsection Version 990831
                    325:
                    326: 4 $BG/$V$j$NBg2~D{(B. $B@0?t$N(B 32bit $B2=B>(B, $BCf?H$O$:$$$V$sJQ$o$C$F$$$k$b$N$N(B,
                    327: $B8+3]$1$O$=$l$[$IJQ$o$C$F$$$k$h$&$K$O8+$($J$$(B. $B$`$7$m(B, Windows $BHG$J$I$O(B,
                    328: plot $B$,;H$($J$$$?$a(B, $BB`2=$7$F$$$k(B.
                    329:
                    330: $B5lHG$N%f!<%6$,$b$C$H$bCm0U$9$Y$-E@$O(B, $B5lHG$G:n$C$?(B bsave file $B$rFI$_9~$`(B
                    331: $B>l9g$O(B @code{bload27} $B$r;H$&I,MW$,$"$k(B, $B$H$$$&E@$G$"$k(B.
                    332:
                    333: @node Version 950831,,, $BJQ99E@(B
                    334: @subsection Version 950831
                    335:
                    336: @menu
                    337: * $B%G%P%C%,(B($BJQ99(B)::
                    338: * $BAH$_9~$_H!?t(B($BJQ99(B)::
                    339: * $B%0%l%V%J4pDl(B($BJQ99(B)::
                    340: * $B$=$NB>(B($BJQ99(B)::
                    341: @end menu
                    342:
                    343: @node $B%G%P%C%,(B($BJQ99(B),,, Version 950831
                    344: @subsubsection $B%G%P%C%,(B
                    345:
                    346: @itemize @bullet
                    347: @item
                    348: $BG$0U$N;~E@$K%G%P%C%0%b!<%I$KF~$l$k(B.
                    349: @item
                    350: @code{finish} $B%3%^%s%I$NDI2C(B.
                    351: @item
                    352: @code{up}, @code{down}, @code{frame} $B%3%^%s%I$K$h$k(B, $BG$0U$N%9%?%C%/%U%l!<%`(B
                    353: $B$N;2>H(B.
                    354: @item
                    355: @code{trace} $B%3%^%s%I$NDI2C(B.
                    356: @end itemize
                    357:
                    358: @node $BAH$_9~$_H!?t(B($BJQ99(B),,, Version 950831
                    359: @subsubsection $BAH$_9~$_H!?t(B
                    360:
                    361: @itemize @bullet
                    362: @item
                    363: @code{sdiv()} $B$J$I$K$*$1$k(B, $B<gJQ?t$N;XDj$N%5%]!<%H(B.
                    364: @item
                    365: @code{sdivm()} $B$J$I(B, $BM-8BBN>e$G$NB?9`<0=|;;$NDI2C(B.
                    366: @item
                    367: @code{det()}, @code{res()} $B$J$I$K$*$1$k(B, $BM-8BBN>e$G$N7W;;$N%5%]!<%H(B
                    368: @item
                    369: @code{vtol()} ($B%Y%/%H%k$+$i%j%9%H$X$NJQ49(B) $B$NDI2C(B.
                    370: @item
                    371: @code{map()} $B$NDI2C(B.
                    372: @end itemize
                    373:
                    374: @node $B%0%l%V%J4pDl(B($BJQ99(B),,, Version 950831
                    375: @subsubsection $B%0%l%V%J4pDl(B
                    376:
                    377: @itemize @bullet
                    378: @item
                    379: $B%0%l%V%J4pDl7W;;5!G=$NAH$_9~$_H!?t2=(B.
                    380: @item
                    381: @code{grm()}, @code{hgrm()} $B$,(B @code{gr()}, @code{hgr()} $B$KJQ99(B.
                    382: @item
                    383: @code{gr()}, @code{hgr()} $B$K$*$$$F(B, $B9`=g=x$N;XDj$,I,MW$K$J$C$?(B.
                    384: @item
                    385: $B9`=g=x$N;XDjJ}K!$,3HD%$5$l$?(B.
                    386: @item
                    387: $BM-8BBN>e$N%0%l%V%J4pDl7W;;$N%5%]!<%H(B.
                    388: @item
                    389: $B4pDlJQ49$K$h$k<-=q<0=g=x%0%l%V%J4pDl7W;;$N%5%]!<%H(B.
                    390: @item
                    391: $B$$$/$D$+$N?7$7$$AH$_9~$_H!?t$NDs6!(B.
                    392: @end itemize
                    393:
                    394: @node $B$=$NB>(B($BJQ99(B),,, Version 950831
                    395: @subsubsection $B$=$NB>(B
                    396:
                    397: @itemize @bullet
                    398: @item
                    399: $BJ,;67W;;MQ%D!<%k(B, $BH!?t$NDI2C(B.
                    400: @item
                    401: $BBe?tBN>e$N(B GCD $B7W;;$K$*$1$k%b%8%e%i7W;;$N1~MQ(B.
                    402: @item
                    403: $B%$%G%"%k$N=`AGJ,2r$N%5%]!<%H(B.
                    404: @item
                    405: Windows $B$X$N0\?"(B.
                    406: @end itemize
                    407:
                    408: @node Version 940420,,, $BJQ99E@(B
                    409: @subsection Version 940420
                    410:
                    411: @noindent
                    412: $B:G=i$N8x3+HG(B.
                    413:
                    414: @node $BJ88%(B,,, $BIUO?(B
                    415: @section $BJ88%(B
                    416: @table @code
                    417: @item [Batut et al.]
                    418: Batut, C., Bernardi, D., Cohen, H., Olivier, M., "User's Guide to PARI-GP",
                    419: 1993.
                    420: @item [Becker,Weispfenning]
                    421: Becker, T., Weispfenning, V., "Groebner Bases", Graduate Texts in Math. 141,
                    422: Springer-Verlag, 1993.
                    423: @item [Boehm,Weiser]
                    424: Boehm, H., Weiser, M., "Garbage Collection in an Uncooperative
                    425: Environment", Software Practice & Experience, September 1988, 807-820.
                    426: @item [Gebauer,Moeller]
                    427: Gebauer, R., Moeller, H. M., "An installation of Buchberger's algorithm",
                    428: J. of Symbolic Computation 6, 275-286.
                    429: @item [Giovini et al.]
                    430: Giovini, A., Mora, T., Niesi, G., Robbiano, L., Traverso, C.,
                    431: ""One sugar cube, please" OR Selection strategies in the Buchberger algorithm",
                    432: Proc. ISSAC'91, 49-54.
                    433: @item [Noro,Takeshima]
                    434: Noro, M., Takeshima, T., "Risa/Asir -- A Computer Algebra System",
                    435: Proc. ISSAC'92, 387-396.
                    436: @item [Noro,Yokoyama]
                    437: Noro, M., Yokoyama, K., "New methods for the change-of-ordering in Groebner
                    438: basis computation", ISIS Research Report ISIS-RR-95-8E, 1995.
                    439: @item [Shimoyama,Yokoyama]
                    440: Shimoyama, T., Yokoyama, K.,
                    441: "Localization and primary decomposition of polynomial ideals",
                    442: to appear in J. Symb. Comp.
                    443: @item [Traverso]
                    444: Traverso, C., "Groebner trace algorithms", Proc. ISSAC '88(LNCS 358), 125-138.
                    445: @end table
                    446: