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Annotation of OpenXM/src/asir-doc/parts/appendix.texi, Revision 1.2

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{)}
1.2     ! noro       30:     <$BH!?t(B> @samp{(} <$B<0JB$S(B> @samp{|} <$B%*%W%7%g%sJB$S(B> @samp{)}
1.1       noro       31:     <$BJ8;zNs(B>
                     32:     <$B;X?t%Y%/%H%k(B>
                     33:     <$B%"%H%`(B>
                     34:     <$B%j%9%H(B>
                     35: @end example
                     36:
                     37: @example
                     38: <$B:8JUCM(B>:
                     39:     <$BJQ?t(B> [@samp{[}<$B<0(B>@samp{]}]*
                     40: @end example
                     41:
                     42: @example
                     43: <$BFs9`1i;;;R(B>:
                     44:     @samp{+} @samp{-} @samp{*} @samp{/} @samp{%} @samp{^}($BQQ(B)
                     45:     @samp{==} @samp{!=} @samp{<} @samp{>} @samp{<=} @samp{>=} @samp{&&} @samp{||}
                     46: @end example
                     47:
                     48: @example
                     49: <$BBeF~1i;;;R(B>:
                     50:     @samp{=} @samp{+=} @samp{-=} @samp{*=} @samp{/=} @samp{%=} @samp{^=}
                     51: @end example
                     52:
                     53: @example
                     54: <$B<0JB$S(B>:
                     55:     <$B6u(B>
                     56:     <$B<0(B> [@samp{,} <$B<0(B>]*
                     57: @end example
1.2     ! noro       58:
        !            59: @example
        !            60: <$B%*%W%7%g%s(B>:
        !            61:     alphabet $B$G;O$^$kJ8;zNs(B @samp{=} $B<0(B
        !            62: @end example
        !            63:
        !            64: @example
        !            65: <$B%*%W%7%g%sJB$S(B>:
        !            66:     <$B%*%W%7%g%s(B>
        !            67:     <$B%*%W%7%g%s(B> [@samp{,} <$B%*%W%7%g%s(B>]*
        !            68: @end example
        !            69:
1.1       noro       70:
                     71: @example
                     72: <$B%j%9%H(B>:
                     73:     @samp{[} <$B<0JB$S(B> @samp{]}
                     74: @end example
                     75:
                     76: @example
                     77: <$BJQ?t(B>: (@xref{$BJQ?t$*$h$SITDj85(B})
                     78:     $BBgJ8;z$G;O$^$kJ8;zNs(B (X,Y,Japan $B$J$I(B)
                     79: @end example
                     80:
                     81: @example
                     82: <$BH!?t(B>:
                     83:    $B>.J8;z$G;O$^$kJ8;zNs(B (fctr,gcd $B$J$I(B)
                     84: @end example
                     85:
                     86: @example
                     87: <$B%"%H%`(B>:
                     88:    <$BITDj85(B>
                     89:    <$B?t(B>
                     90: @end example
                     91:
                     92: @example
                     93: <$BITDj85(B>: (@xref{$BJQ?t$*$h$SITDj85(B})
                     94:    $B>.J8;z$G;O$^$kJ8;zNs(B (a,bCD,c1_2 $B$J$I(B)
                     95: @end example
                     96:
                     97: @example
                     98: <$B?t(B>: (@xref{$B?t$N7?(B})
                     99:    <$BM-M}?t(B>
                    100:    <$BIbF0>.?t(B>
                    101:    <$BBe?tE*?t(B>
                    102:    <$BJ#AG?t(B>
                    103: @end example
                    104:
                    105: @example
                    106: <$BM-M}?t(B>:
                    107:    0, 1, -2, 3/4
                    108: @end example
                    109:
                    110: @example
                    111: <$BIbF0>.?t(B>:
                    112:    0.0, 1.2e10
                    113: @end example
                    114:
                    115: @example
                    116: <$BBe?tE*?t(B>: (@xref{$BBe?tE*?t$K4X$9$k1i;;(B})
                    117:    newalg(x^2+1), alg(0)^2+1
                    118: @end example
                    119:
                    120: @example
                    121: <$BJ#AG?t(B>:
                    122:    1+@code{@@i}, 2.3*@code{@@i}
                    123: @end example
                    124:
                    125: @example
                    126: <$BJ8;zNs(B>:
                    127:    @samp{"} $B$G0O$^$l$?J8;zNs(B
                    128: @end example
                    129:
                    130: @example
                    131: <$B;X?t%Y%/%H%k(B>: (@xref{$B%0%l%V%J4pDl$N7W;;(B})
                    132:    @samp{<<} <$B<0JB$S(B> @samp{>>}
                    133: @end example
                    134:
                    135: @example
                    136: <$BJ8(B>: (@xref{$BJ8(B})
                    137:     <$B<0(B> <$B=*C<(B>
                    138:     <$BJ#J8(B>
                    139:     @samp{break} <$B=*C<(B>
                    140:     @samp{continue} <$B=*C<(B>
                    141:     @samp{return} <$B=*C<(B>
                    142:     @samp{return} <$B<0(B> <$B=*C<(B>
                    143:     @samp{if} @samp{(} <$B<0JB$S(B> @samp{)} <$BJ8(B>
                    144:     @samp{if} @samp{(} <$B<0JB$S(B> @samp{)} <$BJ8(B> @samp{else} <$BJ8(B>
                    145:     @samp{for} @samp{(} <$B<0JB$S(B> @samp{;} <$B<0JB$S(B> @samp{;} <$B<0JB$S(B> @samp{)} <$BJ8(B>
                    146:     @samp{do} <$BJ8(B> @samp{while} @samp{(} <$B<0JB$S(B> @samp{)} <$B=*C<(B>
                    147:     @samp{while} @samp{(} <$B<0JB$S(B> @samp{)} <$BJ8(B>
                    148:     @samp{def} <$BH!?t(B> @samp{(} <$B<0JB$S(B> @samp{)} @samp{@{} <$BJQ?t@k8@(B> <$BJ8JB$S(B> @samp{@}}
                    149:     @samp{end(quit)} <$B=*C<(B>
                    150: @end example
                    151:
                    152: @example
                    153: <$B=*C<(B>:
                    154:     @samp{;} @samp{$}
                    155: @end example
                    156:
                    157: @example
                    158: <$BJQ?t@k8@(B>:
                    159:     [@samp{extern} <$BJQ?t(B> [@samp{,} <$BJQ?t(B>]* <$B=*C<(B>]*
                    160: @end example
                    161:
                    162: @example
                    163: <$BJ#J8(B>:
                    164:     @samp{@{} <$BJ8JB$S(B> @samp{@}}
                    165: @end example
                    166:
                    167: @example
                    168: <$BJ8JB$S(B>:
                    169:     [<$BJ8(B>]*
                    170: @end example
                    171:
                    172: @node $BE:IU$N%f!<%6Dj5AH!?t%U%!%$%k(B,,, $BIUO?(B
                    173: @section $BE:IU$N%f!<%6Dj5AH!?t%U%!%$%k(B
                    174:
                    175: @noindent
                    176: $BI8=`%i%$%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
                    177: $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$$$F(B
                    178: $B@bL@$9$k(B.
                    179:
                    180: @table @samp
                    181: @item fff
                    182: $BBgI8?tAGBN$*$h$SI8?t(B 2 $B$NM-8BBN>e$N0lJQ?tB?9`<00x?tJ,2r(B (@xref{$BM-8BBN$K4X$9$k1i;;(B})
                    183: @item gr
                    184: $B%0%l%V%J4pDl7W;;%Q%C%1!<%8(B.  (@xref{$B%0%l%V%J4pDl$N7W;;(B})
                    185: @item sp
                    186: $BBe?tE*?t$N1i;;$*$h$S0x?tJ,2r(B, $B:G>.J,2rBN(B. (@xref{$BBe?tE*?t$K4X$9$k1i;;(B})
                    187: @item alpi
                    188: @itemx bgk
                    189: @itemx cyclic
                    190: @itemx katsura
                    191: @itemx kimura
                    192: $B%0%l%V%J4pDl7W;;$K$*$$$F(B, $B%Y%s%A%^!<%/$=$NB>$GMQ$$$i$l$kNc(B.
                    193: (@xref{katsura hkatsura cyclic hcyclic})
                    194: @item defs.h
                    195: $B$$$/$D$+$N%^%/%mDj5A(B. (@xref{$B%W%j%W%m%;%C%5(B})
                    196: @item fctrtest
                    197: $B@0?t>e$NB?9`<0$N0x?tJ,2r$N%F%9%H(B. REDUCE $B$N(B @samp{factor.tst} $B$*$h$S(B
                    198: $B=EJ#EY$NBg$-$$$$$/$D$+$NNc$r4^$`(B. $B$3$l$O(B, @code{load()} $B$9$k$H(B
                    199: $BD>$A$K7W;;$,;O$^$k(B. $BF~<j$7$?(B @b{Asir} $B$,@5$7$/F0:n$7$F$$$k$+$N(B
                    200: $B%F%9%H$K$b;H$&$3$H$,$G$-$k(B.
                    201: @item fctrdata
                    202: @samp{fctrtest} $B$G;H$o$l$F$$$kNc$r4^$`(B, $B0x?tJ,2r%F%9%HMQ$NNc(B.
                    203: @code{Alg[]} $B$K<}$a$i$l$F$$$kNc$O(B, @code{af()} (@xref{asq af}) $BMQ$NNc$G$"$k(B.
                    204: @example
                    205: [45] load("sp")$
                    206: [84] load("fctrdata")$
                    207: [175] cputime(1)$
                    208: 0msec
                    209: [176] Alg[5];
                    210: x^9-15*x^6-87*x^3-125
                    211: 0msec
                    212: [177] af(Alg[5],[newalg(Alg[5])]);
                    213: [[1,1],[75*x^2+(10*#0^7-175*#0^4-470*#0)*x+(3*#0^8-45*#0^5-261*#0^2),1],
                    214: [75*x^2+(-10*#0^7+175*#0^4+395*#0)*x+(3*#0^8-45*#0^5-261*#0^2),1],
                    215: [25*x^2+(25*#0)*x+(#0^8-15*#0^5-87*#0^2),1],[x^2+(#0)*x+(#0^2),1],
                    216: [x+(-#0),1]]
                    217: 3.600sec + gc : 1.040sec
                    218: @end example
                    219: @item ifplot
                    220: $BIA2h(B (@xref{ifplot conplot plot plotover}) $B$N$?$a$NNc(B. @code{IS[]} $B$K$OM-L>$J(B
                    221: $B6J@~$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,
                    222: $B%9%Z!<%I(B ($B$i$7$-(B) $B6J@~$NNc$,F~$C$F$$$k(B.
                    223: @item num
                    224: $B?t$K4X$9$k4JC1$J1i;;H!?t$NNc(B.
                    225: @item mat
                    226: $B9TNs$K4X$9$k4JC1$J1i;;H!?t$NNc(B.
                    227: @item ratint
                    228: $BM-M}H!?t$NITDj@QJ,(B. @samp{sp}, @samp{gr} $B$,I,MW(B. @code{ratint()} $B$H$$$&(B
                    229: $BH!?t$,Dj5A$5$l$F$$$k$,(B, $B$=$NJV$97k2L$O$d$dJ#;($G$"$k(B. $BNc$G@bL@$9$k(B.
                    230: @example
                    231: [0] load("gr")$
                    232: [45] load("sp")$
                    233: [84] load("ratint")$
                    234: [102] ratint(x^6/(x^5+x+1),x);
                    235: [1/2*x^2,
                    236: [[(#2)*log(-140*x+(-2737*#2^2+552*#2-131)),161*t#2^3-23*t#2^2+15*t#2-1],
                    237: [(#1)*log(-5*x+(-21*#1-4)),21*t#1^2+3*t#1+1]]]
                    238: @end example
                    239: $B$3$NNc$G$O(B, @code{x^6/(x^5+x+1)} $B$NITDj@QJ,$N7W;;$r9T$C$F$$$k(B.
                    240: $B7k2L$O(B 2 $B$D$NMWAG$+$i$J$k%j%9%H$G(B, $BBh(B 1 $BMWAG$OITDj@QJ,$NM-M}ItJ,(B,
                    241: $BBh(B 2 $BMWAG$OBP?tItJ,$rI=$9(B. $BBP?tItJ,$O99$K%j%9%H$H$J$C$F$$$F(B, $B3FMWAG$O(B,
                    242: @code{[root*log(poly),defpoly]} $B$H$$$&7A$r$7$F$$$k(B. $B$3$l$O(B, $BITDj@QJ,$K(B
                    243: $B$*$$$F$O(B, @code{defpoly} $B$NA4$F$N:,(B @code{root} $B$KBP$7$F(B @code{root*log(poly)}
                    244: $B$r:n$j$=$l$i$rB-$79g$o$;$k$H$$$&0UL#$G$"$k(B. $B$3$3$G(B @code{poly} $B$O(B
                    245: @code{root} $B$r4^$s$G$$$F(B, @code{root} $B$rF~$lBX$($k>l9g$K$O(B @code{poly}
                    246: $B$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
                    247: $B3F@.J,$KBP$7$F9T$C$F(B, $BA4$F$rB-$79g$o$;$?$b$N$,BP?tItJ,$H$J$k(B.
                    248: @item primdec
                    249: $BB?9`<0%$%G%"%k$N=`AG%$%G%"%kJ,2r$H$=$N:,4p$NAG%$%G%"%kJ,2r(B
                    250: (@code{[Shimoyama,Yokoyama]} $B;2>H(B).
                    251: $B=`AG%$%G%"%kJ,2r$O(B @code{primadec()}, $BAG%$%G%"%kJ,2r$O(B, @code{primedec()}
                    252: $B$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.
                    253: $BM-M}<078?t$NB?9`<0%$%G%"%k$d(B, 0$B<!85$G$J$$%$%G%"%k$b07$($k(B.
                    254: @code{primadec} $B$O(B, $B=`AG@.J,$H$=$NAG@.J,$N%Z%"%j%9%H$N%j%9%H$rJV$9(B.
                    255: @code{primedec} $B$O(B, $BAG@.J,$N%j%9%H$rJV$9(B.
                    256: $B$=$N7k2L$O$$$:$l$b%0%l%V%J4pDl$K$J$C$F$$$k$,(B, $B$=$N(B
                    257: $BJQ?t=g=x$O(B, $B$=$l$>$lBg0hJQ?t(B @code{PRIMAORD}, @code{PRIMEORD}
                    258:  $B$NCM(B 0,1 $B$"$k$$$O(B 2 $B$K$h$C$F7h$^$k(B.
                    259: @example
                    260: [84] load("primdec")$
                    261: [102] primedec([p*q*x-q^2*y^2+q^2*y,-p^2*x^2+p^2*x+p*q*y,
                    262: (q^3*y^4-2*q^3*y^3+q^3*y^2)*x-q^3*y^4+q^3*y^3,
                    263: -q^3*y^4+2*q^3*y^3+(-q^3+p*q^2)*y^2],[p,q,x,y]);
                    264: [[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]]
                    265: [103] primadec([x,z*y,w*y^2,w^2*y-z^3,y^3],[x,y,z,w]);
                    266: [[[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]]]
                    267: @end example
                    268: @end table
                    269:
                    270: @node $BF~NO%$%s%?%U%'!<%9(B,,, $BIUO?(B
                    271: @section $BF~NO%$%s%?%U%'!<%9(B
                    272:
                    273: $B4{$K=R$Y$?$h$&$K(B, DOS $BHG(B, Windows $BHG(B, Macintosh $BHG$G$OF~NO%$%s%?%U%'!<%9$H(B
                    274: $B$7$F%3%^%s%I%i%$%sJT=8$*$h$S%R%9%H%jCV$-49$($,AH$_9~$^$l$F$$$k(B. UNIX $BHG$G$O(B
                    275: $B$3$N$h$&$J5!G=$OAH$_9~$^$l$F$$$J$$$,(B, $B0J2<$G=R$Y$k$h$&$JF~NO%$%s%?%U%'!<%9(B
                    276: $B$,MQ0U$5$l$F$$$k(B. $B$3$l$i$O(B @b{Asir} $B%P%$%J%j$H$H$b$K(B ftp $B2DG=$G$"$k(B.
                    277: ftp server $B$K4X$7$F$O(B @xref{$BF~<jJ}K!(B}.
                    278:
                    279: @menu
                    280: * fep::
                    281: * asir.el::
                    282: @end menu
                    283:
                    284: @node fep,,, $BF~NO%$%s%?%U%'!<%9(B
                    285: @subsection fep
                    286:
                    287: @noindent
                    288: 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
                    289: $BMQ$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
                    290: $B$3$H$K$h$j(B vi $B$"$k$$$O(B emacs $BIw$N%3%^%s%I%i%$%sJT=8$*$h$S(B csh $BIw$N%R%9%H%j(B
                    291: $BCV$-49$($,2DG=$K$J$k(B.
                    292:
                    293: @example
                    294: % fep asir
                    295: ...
                    296: [0] fctr(x^5-1);
                    297: [[1,1],[x-1,1],[x^4+x^3+x^2+x+1,1]]
                    298: [1] !!                              /* !!+Return                      */
                    299: fctr(x^5-1);                        /* $BD>A0$NF~NO$,8=$l$k$FJT=8$G$-$k(B */
                    300: ...                                 /* $BJT=8(B+Return                    */
                    301: fctr(x^5+1);
                    302: [[1,1],[x+1,1],[x^4-x^3+x^2-x+1,1]]
                    303: @end example
                    304:
                    305: @noindent
                    306: fep $B$O%U%j!<%=%U%H$G%=!<%9$,F~<j2DG=$G$"$k$,(B, $B%*%j%8%J%k$N$b$N$O(B make $B$G$-$k(B
                    307: $B5!<o(B (OS) $B$,8B$i$l$F$$$k(B. $B$$$/$D$+$N5!<o>e$GF0:n$9$k$h$&$K2f!9$,2~B$$7$?$b$N(B
                    308: $B$,(B, ftp $B$GF~<j2DG=$G$"$k(B.
                    309:
                    310: @node asir.el,,, $BF~NO%$%s%?%U%'!<%9(B
                    311: @subsection asir.el
                    312:
                    313: @noindent
                    314: @samp{asir.el} $B$O(B, @b{Asir} $B$N(B GNU Emacs $B%$%s%?%U%'!<%9$G$"$k(B ($BCx<T$O(B
                    315: $B5\Eh8w<#;a(B (@code{YVE25250@@pcvan.or.jp}).  @samp{asir.el} $B$K$*$$$F$O(B,
                    316: $BDL>o$N(B emacs $B$G2DG=$JJT=85!G=$NB>$K(B, $B%U%!%$%kL>(B, $B%3%^%s%IL>$N(B completion
                    317: $B$,<B8=$5$l$F$$$k(B.
                    318:
                    319: @noindent
                    320: @samp{asir.el} $B$O(B PC-VAN $B$G(B
                    321: $B4{$K8x3+$5$l$F$$$k$,(B, $B:#2s$N2~D{$KH<$&JQ99$r9T$C$?$b$N$,(B, $B$d$O$j(B ftp $B$G(B
                    322: $BF~<j2DG=$G$"$k(B.
                    323:
                    324: @noindent
                    325: $B%;%C%H%"%C%W(B, $B;HMQJ}K!$O(B, @samp{asir.el} $B$N@hF,$K5-=R$5$l$F$$$k(B.
                    326:
                    327: @node $BJQ99E@(B,,, $BIUO?(B
                    328: @section $BJQ99E@(B
                    329:
                    330: @menu
                    331: * Version 990831::
                    332: * Version 950831::
                    333: * Version 940420::
                    334: @end menu
                    335:
                    336: @node Version 990831,,, $BJQ99E@(B
                    337: @subsection Version 990831
                    338:
                    339: 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,
                    340: $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,
                    341: plot $B$,;H$($J$$$?$a(B, $BB`2=$7$F$$$k(B.
                    342:
                    343: $B5lHG$N%f!<%6$,$b$C$H$bCm0U$9$Y$-E@$O(B, $B5lHG$G:n$C$?(B bsave file $B$rFI$_9~$`(B
                    344: $B>l9g$O(B @code{bload27} $B$r;H$&I,MW$,$"$k(B, $B$H$$$&E@$G$"$k(B.
                    345:
                    346: @node Version 950831,,, $BJQ99E@(B
                    347: @subsection Version 950831
                    348:
                    349: @menu
                    350: * $B%G%P%C%,(B($BJQ99(B)::
                    351: * $BAH$_9~$_H!?t(B($BJQ99(B)::
                    352: * $B%0%l%V%J4pDl(B($BJQ99(B)::
                    353: * $B$=$NB>(B($BJQ99(B)::
                    354: @end menu
                    355:
                    356: @node $B%G%P%C%,(B($BJQ99(B),,, Version 950831
                    357: @subsubsection $B%G%P%C%,(B
                    358:
                    359: @itemize @bullet
                    360: @item
                    361: $BG$0U$N;~E@$K%G%P%C%0%b!<%I$KF~$l$k(B.
                    362: @item
                    363: @code{finish} $B%3%^%s%I$NDI2C(B.
                    364: @item
                    365: @code{up}, @code{down}, @code{frame} $B%3%^%s%I$K$h$k(B, $BG$0U$N%9%?%C%/%U%l!<%`(B
                    366: $B$N;2>H(B.
                    367: @item
                    368: @code{trace} $B%3%^%s%I$NDI2C(B.
                    369: @end itemize
                    370:
                    371: @node $BAH$_9~$_H!?t(B($BJQ99(B),,, Version 950831
                    372: @subsubsection $BAH$_9~$_H!?t(B
                    373:
                    374: @itemize @bullet
                    375: @item
                    376: @code{sdiv()} $B$J$I$K$*$1$k(B, $B<gJQ?t$N;XDj$N%5%]!<%H(B.
                    377: @item
                    378: @code{sdivm()} $B$J$I(B, $BM-8BBN>e$G$NB?9`<0=|;;$NDI2C(B.
                    379: @item
                    380: @code{det()}, @code{res()} $B$J$I$K$*$1$k(B, $BM-8BBN>e$G$N7W;;$N%5%]!<%H(B
                    381: @item
                    382: @code{vtol()} ($B%Y%/%H%k$+$i%j%9%H$X$NJQ49(B) $B$NDI2C(B.
                    383: @item
                    384: @code{map()} $B$NDI2C(B.
                    385: @end itemize
                    386:
                    387: @node $B%0%l%V%J4pDl(B($BJQ99(B),,, Version 950831
                    388: @subsubsection $B%0%l%V%J4pDl(B
                    389:
                    390: @itemize @bullet
                    391: @item
                    392: $B%0%l%V%J4pDl7W;;5!G=$NAH$_9~$_H!?t2=(B.
                    393: @item
                    394: @code{grm()}, @code{hgrm()} $B$,(B @code{gr()}, @code{hgr()} $B$KJQ99(B.
                    395: @item
                    396: @code{gr()}, @code{hgr()} $B$K$*$$$F(B, $B9`=g=x$N;XDj$,I,MW$K$J$C$?(B.
                    397: @item
                    398: $B9`=g=x$N;XDjJ}K!$,3HD%$5$l$?(B.
                    399: @item
                    400: $BM-8BBN>e$N%0%l%V%J4pDl7W;;$N%5%]!<%H(B.
                    401: @item
                    402: $B4pDlJQ49$K$h$k<-=q<0=g=x%0%l%V%J4pDl7W;;$N%5%]!<%H(B.
                    403: @item
                    404: $B$$$/$D$+$N?7$7$$AH$_9~$_H!?t$NDs6!(B.
                    405: @end itemize
                    406:
                    407: @node $B$=$NB>(B($BJQ99(B),,, Version 950831
                    408: @subsubsection $B$=$NB>(B
                    409:
                    410: @itemize @bullet
                    411: @item
                    412: $BJ,;67W;;MQ%D!<%k(B, $BH!?t$NDI2C(B.
                    413: @item
                    414: $BBe?tBN>e$N(B GCD $B7W;;$K$*$1$k%b%8%e%i7W;;$N1~MQ(B.
                    415: @item
                    416: $B%$%G%"%k$N=`AGJ,2r$N%5%]!<%H(B.
                    417: @item
                    418: Windows $B$X$N0\?"(B.
                    419: @end itemize
                    420:
                    421: @node Version 940420,,, $BJQ99E@(B
                    422: @subsection Version 940420
                    423:
                    424: @noindent
                    425: $B:G=i$N8x3+HG(B.
                    426:
                    427: @node $BJ88%(B,,, $BIUO?(B
                    428: @section $BJ88%(B
                    429: @table @code
                    430: @item [Batut et al.]
                    431: Batut, C., Bernardi, D., Cohen, H., Olivier, M., "User's Guide to PARI-GP",
                    432: 1993.
                    433: @item [Becker,Weispfenning]
                    434: Becker, T., Weispfenning, V., "Groebner Bases", Graduate Texts in Math. 141,
                    435: Springer-Verlag, 1993.
                    436: @item [Boehm,Weiser]
                    437: Boehm, H., Weiser, M., "Garbage Collection in an Uncooperative
                    438: Environment", Software Practice & Experience, September 1988, 807-820.
                    439: @item [Gebauer,Moeller]
                    440: Gebauer, R., Moeller, H. M., "An installation of Buchberger's algorithm",
                    441: J. of Symbolic Computation 6, 275-286.
                    442: @item [Giovini et al.]
                    443: Giovini, A., Mora, T., Niesi, G., Robbiano, L., Traverso, C.,
                    444: ""One sugar cube, please" OR Selection strategies in the Buchberger algorithm",
                    445: Proc. ISSAC'91, 49-54.
                    446: @item [Noro,Takeshima]
                    447: Noro, M., Takeshima, T., "Risa/Asir -- A Computer Algebra System",
                    448: Proc. ISSAC'92, 387-396.
                    449: @item [Noro,Yokoyama]
                    450: Noro, M., Yokoyama, K., "New methods for the change-of-ordering in Groebner
                    451: basis computation", ISIS Research Report ISIS-RR-95-8E, 1995.
                    452: @item [Shimoyama,Yokoyama]
                    453: Shimoyama, T., Yokoyama, K.,
                    454: "Localization and primary decomposition of polynomial ideals",
                    455: to appear in J. Symb. Comp.
                    456: @item [Traverso]
                    457: Traverso, C., "Groebner trace algorithms", Proc. ISSAC '88(LNCS 358), 125-138.
                    458: @end table
                    459: