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version 1.6, 2000/03/17 08:27:28 version 1.10, 2002/09/10 01:40:01
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 @comment $OpenXM: OpenXM/src/asir-doc/parts/appendix.texi,v 1.5 2000/03/17 02:17:03 noro Exp $  @comment $OpenXM: OpenXM/src/asir-doc/parts/appendix.texi,v 1.9 2002/09/03 01:50:57 noro Exp $
 \BJP  \BJP
 @node $BIUO?(B,,, Top  @node $BIUO?(B,,, Top
 @appendix $BIUO?(B  @appendix $BIUO?(B
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     <list>      <list>
 \E  \E
 @end example  @end example
 \JP (@xref{$B$5$^$6$^$J<0(B})  \JP (@xref{$B$5$^$6$^$J<0(B}.)
 \EG (@xref{various expressions})  \EG (@xref{various expressions}.)
   
 @example  @example
 \BJP  \BJP
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    (X,Y,Japan etc.)     (X,Y,Japan etc.)
 \E  \E
 @end example  @end example
 \JP (@xref{$BJQ?t$*$h$SITDj85(B})  \JP (@xref{$BJQ?t$*$h$SITDj85(B}.)
 \EG (@xref{variables and indeterminates})  \EG (@xref{variables and indeterminates}.)
   
 @example  @example
 \BJP  \BJP
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    (a,bCD,c1_2 etc.)     (a,bCD,c1_2 etc.)
 \E  \E
 @end example  @end example
 \JP (@xref{$BJQ?t$*$h$SITDj85(B})  \JP (@xref{$BJQ?t$*$h$SITDj85(B}.)
 \EG (@xref{variables and indeterminates})  \EG (@xref{variables and indeterminates}.)
   
 @example  @example
 \BJP  \BJP
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    <complex number>     <complex number>
 \E  \E
 @end example  @end example
 \JP (@xref{$B?t$N7?(B})  \JP (@xref{$B?t$N7?(B}.)
 \EG (@xref{Types of numbers})  \EG (@xref{Types of numbers}.)
   
 @example  @example
 \JP <$BM-M}?t(B>:  \JP <$BM-M}?t(B>:
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 \EG <algebraic number>:  \EG <algebraic number>:
    newalg(x^2+1), alg(0)^2+1     newalg(x^2+1), alg(0)^2+1
 @end example  @end example
 \JP (@xref{$BBe?tE*?t$K4X$9$k1i;;(B})  \JP (@xref{$BBe?tE*?t$K4X$9$k1i;;(B}.)
 \EG (@xref{Algebraic numbers})  \EG (@xref{Algebraic numbers}.)
   
 @example  @example
 \JP <$BJ#AG?t(B>:  \JP <$BJ#AG?t(B>:
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    @samp{<<} <expr list> @samp{>>}     @samp{<<} <expr list> @samp{>>}
 \E  \E
 @end example  @end example
 \JP (@xref{$B%0%l%V%J4pDl$N7W;;(B})  \JP (@xref{$B%0%l%V%J4pDl$N7W;;(B}.)
 \EG (@xref{Groebner basis computation})  \EG (@xref{Groebner basis computation}.)
   
 @example  @example
 \BJP  \BJP
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     @samp{end(quit)} <terminator>      @samp{end(quit)} <terminator>
 \E  \E
 @end example  @end example
 \JP (@xref{$BJ8(B})  \JP (@xref{$BJ8(B}.)
 \EG (@xref{statements})  \EG (@xref{statements}.)
   
 @example  @example
 \JP <$B=*C<(B>:  \JP <$B=*C<(B>:
Line 386  Here, we explain some of them.
Line 386  Here, we explain some of them.
   
 @table @samp  @table @samp
 @item fff  @item fff
 \JP $BBgI8?tAGBN$*$h$SI8?t(B 2 $B$NM-8BBN>e$N0lJQ?tB?9`<00x?tJ,2r(B (@xref{$BM-8BBN$K4X$9$k1i;;(B})  \JP $BBgI8?tAGBN$*$h$SI8?t(B 2 $B$NM-8BBN>e$N0lJQ?tB?9`<00x?tJ,2r(B (@xref{$BM-8BBN$K4X$9$k1i;;(B}.)
 \EG Univariate factorizer over large finite fields (@xref{Finite fields})  \EG Univariate factorizer over large finite fields (@xref{Finite fields}.)
 @item gr  @item gr
 \JP $B%0%l%V%J4pDl7W;;%Q%C%1!<%8(B.  (@xref{$B%0%l%V%J4pDl$N7W;;(B})  \JP $B%0%l%V%J4pDl7W;;%Q%C%1!<%8(B.  (@xref{$B%0%l%V%J4pDl$N7W;;(B}.)
 \EG Groebner basis package.  (@xref{Groebner basis computation})  \EG Groebner basis package.  (@xref{Groebner basis computation}.)
 @item sp  @item sp
 \JP $BBe?tE*?t$N1i;;$*$h$S0x?tJ,2r(B, $B:G>.J,2rBN(B. (@xref{$BBe?tE*?t$K4X$9$k1i;;(B})  \JP $BBe?tE*?t$N1i;;$*$h$S0x?tJ,2r(B, $B:G>.J,2rBN(B. (@xref{$BBe?tE*?t$K4X$9$k1i;;(B}.)
 \EG Operations over algebraic numbers and factorization, Splitting fields. (@xref{Algebraic numbers})  \EG Operations over algebraic numbers and factorization, Splitting fields. (@xref{Algebraic numbers}.)
 @item alpi  @item alpi
 @itemx bgk  @itemx bgk
 @itemx cyclic  @itemx cyclic
Line 401  Here, we explain some of them.
Line 401  Here, we explain some of them.
 @itemx kimura  @itemx kimura
 \JP $B%0%l%V%J4pDl7W;;$K$*$$$F(B, $B%Y%s%A%^!<%/$=$NB>$GMQ$$$i$l$kNc(B.  \JP $B%0%l%V%J4pDl7W;;$K$*$$$F(B, $B%Y%s%A%^!<%/$=$NB>$GMQ$$$i$l$kNc(B.
 \EG Example polynomial sets for benchmarks of Groebner basis computation.  \EG Example polynomial sets for benchmarks of Groebner basis computation.
 (@xref{katsura hkatsura cyclic hcyclic})  (@xref{katsura hkatsura cyclic hcyclic}.)
 @item defs.h  @item defs.h
 \JP $B$$$/$D$+$N%^%/%mDj5A(B. (@xref{$B%W%j%W%m%;%C%5(B})  \JP $B$$$/$D$+$N%^%/%mDj5A(B. (@xref{$B%W%j%W%m%;%C%5(B}.)
 \EG Macro definitions. (@xref{preprocessor})  \EG Macro definitions. (@xref{preprocessor}.)
 @item fctrtest  @item fctrtest
 \BJP  \BJP
 $B@0?t>e$NB?9`<0$N0x?tJ,2r$N%F%9%H(B. REDUCE $B$N(B @samp{factor.tst} $B$*$h$S(B  $B@0?t>e$NB?9`<0$N0x?tJ,2r$N%F%9%H(B. REDUCE $B$N(B @samp{factor.tst} $B$*$h$S(B
Line 423  correctly.
Line 423  correctly.
 @item fctrdata  @item fctrdata
 \BJP  \BJP
 @samp{fctrtest} $B$G;H$o$l$F$$$kNc$r4^$`(B, $B0x?tJ,2r%F%9%HMQ$NNc(B.  @samp{fctrtest} $B$G;H$o$l$F$$$kNc$r4^$`(B, $B0x?tJ,2r%F%9%HMQ$NNc(B.
 @code{Alg[]} $B$K<}$a$i$l$F$$$kNc$O(B, @code{af()} (@xref{asq af af_noalg}) $BMQ$NNc$G$"$k(B.  @code{Alg[]} $B$K<}$a$i$l$F$$$kNc$O(B, @code{af()} (@ref{asq af af_noalg}) $BMQ$NNc$G$"$k(B.
 \E  \E
 \BEG  \BEG
 This contains example polynomials for factorization.  It includes  This contains example polynomials for factorization.  It includes
 polynomials used in @samp{fctrtest}.  polynomials used in @samp{fctrtest}.
 Polynomials contained in vector @code{Alg[]} is for the algebraic  Polynomials contained in vector @code{Alg[]} is for the algebraic
 factorization @code{af()} (@xref{asq af af_noalg}).  factorization @code{af()}. (@xref{asq af af_noalg}.)
 \E  \E
 @example  @example
 [45] load("sp")$  [45] load("sp")$
Line 448  x^9-15*x^6-87*x^3-125
Line 448  x^9-15*x^6-87*x^3-125
 @end example  @end example
 @item ifplot  @item ifplot
 \BJP  \BJP
 $BIA2h(B (@xref{ifplot conplot plot plotover}) $B$N$?$a$NNc(B. @code{IS[]} $B$K$OM-L>$J(B  $BIA2h(B (@ref{ifplot conplot plot polarplot plotover}) $B$N$?$a$NNc(B. @code{IS[]} $B$K$OM-L>$J(B
 $B6J@~$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,  $B6J@~$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,
 $B%9%Z!<%I(B ($B$i$7$-(B) $B6J@~$NNc$,F~$C$F$$$k(B.  $B%9%Z!<%I(B ($B$i$7$-(B) $B6J@~$NNc$,F~$C$F$$$k(B.
 \E  \E
 \BEG  \BEG
 Examples for plotting (@xref{ifplot conplot plot plotover}).  Examples for plotting. (@xref{ifplot conplot plot polarplot plotover}.)
 Vector @code{IS[]} contains several famous algebraic curves.  Vector @code{IS[]} contains several famous algebraic curves.
 Variables @code{H, D, C, S} contains something like the suits  Variables @code{H, D, C, S} contains something like the suits
 (Heart, Diamond, Club, and Spade) of cards.  (Heart, Diamond, Club, and Spade) of cards.
Line 532  of radicals (@pxref{primadec primedec}).
Line 532  of radicals (@pxref{primadec primedec}).
 \E  \E
   
 \BJP  \BJP
 $B4{$K=R$Y$?$h$&$K(B, DOS $BHG(B, Windows $BHG(B, Macintosh $BHG$G$OF~NO%$%s%?%U%'!<%9$H(B  DOS $BHG(B, Windows $BHG$G$OF~NO%$%s%?%U%'!<%9$H(B
 $B$7$F%3%^%s%I%i%$%sJT=8$*$h$S%R%9%H%jCV$-49$($,AH$_9~$^$l$F$$$k(B. UNIX $BHG$G$O(B  $B$7$F%3%^%s%I%i%$%sJT=8$*$h$S%R%9%H%jCV$-49$($,AH$_9~$^$l$F$$$k(B. UNIX $BHG$G$O(B
 $B$3$N$h$&$J5!G=$OAH$_9~$^$l$F$$$J$$$,(B, $B0J2<$G=R$Y$k$h$&$JF~NO%$%s%?%U%'!<%9(B  $B$3$N$h$&$J5!G=$OAH$_9~$^$l$F$$$J$$$,(B, $B0J2<$G=R$Y$k$h$&$JF~NO%$%s%?%U%'!<%9(B
 $B$,MQ0U$5$l$F$$$k(B. $B$3$l$i$O(B @b{Asir} $B%P%$%J%j$H$H$b$K(B ftp $B2DG=$G$"$k(B.  $B$,MQ0U$5$l$F$$$k(B. $B$3$l$i$O(B @b{Asir} $B%P%$%J%j$H$H$b$K(B ftp $B2DG=$G$"$k(B.
 ftp server $B$K4X$7$F$O(B @xref{$BF~<jJ}K!(B}.  ftp server $B$K4X$7$F$O(B @xref{$BF~<jJ}K!(B}.
   
   Windows $BHG(B @samp{asirgui.exe} $B$O(B, $BDL>o$N(B Windows $B$K$*$1$k47=,$H$O0[$J$k(B
   $B7A$N%3%T!<%Z!<%9%H5!G=$rDs6!$7$F$$$k(B. Window $B>e$KI=<($5$l$F$$$kJ8;zNs(B
   $B$KBP$7%^%&%9:8%\%?%s$r2!$7$J$,$i%I%i%C%0$9$k$HJ8;zNs$,A*Br$5$l$k(B.
   $B%\%?%s$rN%$9$HH?E>I=<($,85$KLa$k$,(B, $B$=$NJ8;zNs$O%3%T!<%P%C%U%!$K(B
   $B<h$j9~$^$l$F$$$k(B. $B%^%&%91&%\%?%s$r2!$9$H(B, $B%3%T!<%P%C%U%!Fb$NJ8;zNs$,(B
   $B8=:_$N%+!<%=%k0LCV$KA^F~$5$l$k(B. $B4{$KI=<($5$l$?ItJ,$O(B readonly
   $B$G$"$j(B, $B$=$NItJ,$r2~JQ$G$-$J$$$3$H$KCm0U$7$FM_$7$$(B.
 \E  \E
 \BEG  \BEG
 As already mentioned a command line editing facility and a history  A command line editing facility and a history
 substitution facility are built-in for DOS, Windows Macintosh version  substitution facility are built-in for DOS, Windows version
 of @b{Asir}. UNIX versions of @b{Asir} do not have such built-in facilites.  of @b{Asir}. UNIX versions of @b{Asir} do not have such built-in facilites.
 Instead, the following input interfaces are prepared. This are also available  Instead, the following input interfaces are prepared. This are also available
 from our ftp server. As for our ftp server @xref{How to get Risa/Asir}.  from our ftp server. As for our ftp server @xref{How to get Risa/Asir}.
   
   On Windows, @samp{asirgui.exe} has a copy and paste functionality
   different from Windows convention. Press the left button of the mouse
   and drag the mouse cursor on a text, then the text is selected and is
   highlighted.  When the button is released, highlighted text returns to
   the normal state and it is saved in the copy buffer.  If the right
   button is pressed, the text in the copy buffer is inserted at the
   current text cursor position. Note that the existing text is read-only and
   one cannot modify it.
 \E  \E
   
 @menu  @menu
Line 662  distribution (@code{http://www.math.kobe-u.ac.jp/OpenX
Line 679  distribution (@code{http://www.math.kobe-u.ac.jp/OpenX
 It is possible to link an @b{Asir} library to use the functionalities of  It is possible to link an @b{Asir} library to use the functionalities of
 @b{Asir} from other programs.  @b{Asir} from other programs.
 The necessary libraries are included in the @b{OpenXM} distribution  The necessary libraries are included in the @b{OpenXM} distribution
   @ifhtml
   (<A HREF="http://www.math.kobe-u.ac.jp/OpenXM">OpenXM </A>)
   @end ifhtml
 (@code{http://www.math.kobe-u.ac.jp/OpenXM}).  (@code{http://www.math.kobe-u.ac.jp/OpenXM}).
 At present only the @b{OpenXM} interfaces are available. Here we assume  At present only the @b{OpenXM} interfaces are available. Here we assume
 that @b{OpenXM} is already installed. In the following  that @b{OpenXM} is already installed. In the following

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