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Annotation of OpenXM/doc/Papers/rims-2002-12-12-ja-ohp.tex, Revision 1.1

1.1     ! takayama    1: %% $OpenXM$
        !             2: %% Moved from misc-2002/12/rims-ohp/ohp.tex
        !             3: %% $Id: ohp.tex,v 1.3 2002/12/07 11:40:02 taka Exp$
        !             4: %% xdvi -paper a4r ohp
        !             5: %% dvips -f -t landscape ohp | psnup -4 -r | lpr -Pxerox6
        !             6: \documentclass{slides}
        !             7: \usepackage{color}
        !             8: \usepackage{rgb}
        !             9: \usepackage{epsfig}
        !            10: %\def\color#1{ }
        !            11: %\def\epsffile#1{ Picture File: #1 }
        !            12: %\def\epsfxsize{ }
        !            13: %% Sample:
        !            14: %% \epsfxsize=17cm
        !            15: %% \epsffile{cz.ps}
        !            16:
        !            17: \textwidth 9.2in
        !            18: \textheight 7.2in
        !            19: \columnsep 0.33in
        !            20: \topmargin -1in
        !            21:
        !            22: \def\nnn{ {\color{red} $\bullet$}\ }    %% $B;v<B(B
        !            23: \def\eee{ {\color{magenta} Example}:\ } %% $BNc(B
        !            24: \def\ttt{ {\color{red} $\bullet$}\ }   %% $BDjM}(B
        !            25:
        !            26: \begin{document}
        !            27: \noindent
        !            28: \begin{center}
        !            29: {\color{magenta} OpenXM 1.2.2 $B$N35MW(B}
        !            30: \end{center}
        !            31: %% 2002, 12/12 (Thu), 10:40--11:10?
        !            32: \begin{center}
        !            33: OpenXM $B3+H/%0%k!<%W(B:  http://www.openxm.org
        !            34: \end{center}
        !            35: \begin{enumerate}
        !            36: \item oxd $B%9!<%Q!<%5!<%P(B
        !            37: \item $B$$$D$G$b$I$3$G$b(B ``$B0x?tJ,2r(B$\heartsuit$''
        !            38: \item OpenXM $B$N%U%m%s%H%(%s%I(B
        !            39: \item  OpenXM/Risa/Asir/Contrib
        !            40: \item $B%5!<%P$N?7$7$$?t3X4X?t(B
        !            41: \item  fb --- $BD64v2?4X?t%G%8%?%k8x<0=8$H(B OpenMath
        !            42: \item  OpenXM $B4XO"$N=PHGJ*(B
        !            43: \end{enumerate}
        !            44: \newpage
        !            45:
        !            46: \noindent  \quad \\
        !            47: \nnn $B?t3X$G$NJBNs7W;;(B,  \\
        !            48: \nnn $B?t3X%=%U%H%&%(%"$NE}9g2=(B $B$^$?$O(B Conglomerate $B2=(B (A.Solomon) \\
        !            49: \nnn $B?t3XE*CN<1$N%^%M!<%8%a%s%H(B (Mathematical Knowledge Management) \\
        !            50: \nnn $B<B:]$K?t3X$N8&5f$d?t3X$N1~MQ$K;H$($k%Q%C%1!<%8$N3+H/(B
        !            51:
        !            52: \noindent  \quad \\
        !            53: \nnn OpenXM 1.1.1 (January 24, 2000): $B:G=i$N<B83HG(B. \\
        !            54: \nnn OpenXM 1.1.2 (March 20, 2000): $B$H$j$"$($:;H$($kHG(B. \\
        !            55: \nnn OpenXM 1.1.3 (September 26, 2000): 1.1 $B7O$N:G=*HG(B. OpenXM RFC 100 $B7A<0(B
        !            56:    $B$N%W%m%;%9LZ(B. 1077 $B8D$N?t3X4X?t$rDs6!(B.
        !            57:    $BDs6!$7$F$$$k%5!<%P$O(B {\tt ox\_asir}, {\tt ox\_sm1},
        !            58:    {\tt ox\_phc}, {\tt ox\_gnuplot}, {\tt ox\_m2}, {\tt ox\_tigers},
        !            59:    {\tt ox\_math}(ematica), {\tt OMproxy}. \\
        !            60: \nnn OpenXM 1.2.1 (March 2, 2002): Cygwin (Windows) $B$X$NBP1~3+;O(B.
        !            61:        $B%^%K%e%"%k<+F0@8@.(B(gentexi)$B$J$I(B. \\
        !            62:
        !            63: \newpage
        !            64: \noindent
        !            65: 1. {\color{blue} oxd $B%9!<%Q!<%5!<%P(B}
        !            66:
        !            67: unix $+$ Windows, Java $\Rightarrow$
        !            68: {\color{magenta} OpenXM $B%5!<%P$N5/F0$,HQ;((B }
        !            69:
        !            70: \noindent $B2r7h:v(B \\
        !            71: \nnn Corba $B$J$I$N(B Agent $B$N;EAH$_$rMQ$$$k(B. \\
        !            72: \nnn ssh $B$H(B oxc $B$rMQ$$$k(B OpenXM RFC 101 ($B>.86(B) $B$rMQ$$$k(B. \\
        !            73:
        !            74: \noindent
        !            75: {\color{red} oxd } :
        !            76: RFC 100, 101 $BN>J}$KBP1~$7$+$D(B, OpenXM $B%5!<%P$rMF0W$K5/F0(B
        !            77: $B$G$-$k$h$&$J%9!<%Q%5!<%P(B. \\
        !            78: oxd $BDL?.%3%^%s%I$O(B XML $B7A<0(B:
        !            79: $B%H%C%W%N!<%I$O(B \verb@ <login> @ $B!A(B \verb@ </login> @
        !            80: \newpage
        !            81:
        !            82: \noindent $B%/%i%$%"%s%HB&(B: \\
        !            83: {\color{magenta} {\begin{verbatim}
        !            84: <login method="file">
        !            85: \end{verbatim}}}
        !            86: {{\begin{verbatim}
        !            87: <challenge file="/home/taka/.oxd10793"/>
        !            88: ?
        !            89: \end{verbatim}}}
        !            90: {\color{magenta} {\begin{verbatim}
        !            91: <done/>
        !            92: <launch> ox -ox ox_asir -reverse -control 3167
        !            93:                         -data 3168 -finish </launch>
        !            94: \end{verbatim}}}
        !            95: {{\begin{verbatim}
        !            96: <suceeded/>
        !            97: \end{verbatim}}}
        !            98:
        !            99: {\color{blue}
        !           100: \begin{verbatim}
        !           101:         asir = new OpenXM("ox_asir");
        !           102: \end{verbatim}
        !           103: }
        !           104:
        !           105: \rightline{$B3+H/(B: $B9b;3(B}
        !           106: \newpage
        !           107:
        !           108: \noindent
        !           109: 2.1. {\color{blue} $B$$$D$G$b$I$3$G$b(B ``$B0x?tJ,2r(B$\heartsuit$'':
        !           110:       $B%6%&%k%9(B $BBP1~(B
        !           111:      }
        !           112:
        !           113: $B%7%c!<%W$N%6%&%k%9(B {\color{red} SL-A300 } \\
        !           114: Intel $B$N(B Arm $B7O(B CPU Xscale(PXA210 200MHz),
        !           115: Lineo $B$N(B Embedix.
        !           116:
        !           117: GC, {\tt OpenXM\_contrib2/asir2000/asm/asmalpha.c}
        !           118:
        !           119: $B;HMQ$7$F$_$?46A[$O0U30$KB.$$(B(Pentium 200MHz$B$/$i$$(B?).
        !           120:
        !           121: \rightline{$B3+H/(B: $BF#K\(B}
        !           122:
        !           123: \newpage
        !           124: \noindent
        !           125: 2.2. {\color{blue} $B$$$D$G$b$I$3$G$b(B ``$B0x?tJ,2r(B$\heartsuit$'':
        !           126:       OpenXM Online
        !           127:      }
        !           128:
        !           129: Asir Online : \\
        !           130: {\color{red} {\tt http://fe.math.kobe-u.ac.jp:8090}}
        !           131: ($B<B831?MQ(B). \\
        !           132: HTTP $B$rM}2r$9$k%5!<%P(B (httpd) :  kan/sm1 $B$N%]%9%H%9%/%j%W%H8@8l(B
        !           133: $B$G<BAu$5$l$F$$$k(B
        !           134: ({\tt OpenXM/src/kan96xx/Doc/httpd*.sm1}). \\
        !           135: OpenXM $B%(%s%8%s$KBP$9$k(B Remote Procedure Call.
        !           136: %%Pic: asir-online.gif
        !           137:
        !           138: {\color{blue} \underline{$BCfCG$NEAGE$H%j%=!<%9$N@)8B(B}} \\
        !           139: OpenXM RFC 100 ($B%(%s%8%s$N7W;;$rCfCG$9$k%m%P%9%H$J%W%m%H%3%k(B) \\
        !           140: $B$7$+$7$J$,$i(B, $B%(%s%8%s4V$GCfCG$rEAGE$5$;$k;EAH$_$K$D$$$F$O(B,
        !           141: $BI8=`$r$J$K$b7h$a$F$$$J$$(B.
        !           142:
        !           143: \noindent
        !           144: $B>e0U2<C#$NCfCG=hM}(B: \\
        !           145: \ttt $B<+J,$N;R6!%W%m%;%9$r$9$Y$F%j%9%H$9$k(B
        !           146:   ({\tt ox\_get\_serverinfo() }). \\
        !           147: \ttt $B;R6!%W%m%;%9$K=gHV$K(B OpenXM-RFC 100 $B$NCfCG%a%C%;!<%8$rAw$k(B. \\
        !           148:
        !           149:
        !           150: \rightline{$B3+H/(B: $B9b;3(B}
        !           151:
        !           152: \newpage
        !           153: \noindent
        !           154: 3.  {\color{blue} OpenXM $B$N%U%m%s%H%(%s%I(B
        !           155:     }
        !           156:
        !           157: {\color{red} Infty Editor} ($B6e=#(B, $BNkLZ$i(B)
        !           158: $\Rightarrow$ OpenXM $B%(%s%8%s(B \\
        !           159: {\color{red} Infty Editor} $B$G(B asir $B8@8l$N%5%]!<%H(B.
        !           160:
        !           161:
        !           162:
        !           163: \rightline{$B3+H/(B: $BF#K\(B}
        !           164: \newpage
        !           165: \noindent
        !           166: 4. {\color{blue} OpenXM/Risa/Asir/Contrib }
        !           167:
        !           168: OpenXM/Risa/Asir (OpenXM $BHG(B Risa/Asir) : OpenXM $B%Q%C%1!<%8$N(B
        !           169: $B%a%$%s$N%/%i%$%"%s%H(B. \\
        !           170: asir $B8@8l$G$+$+$l$?3F<o?t3X4X?t(B,
        !           171: $B%f!<%F%#%j%#%F%#4X?t$*$h$S(B OpenXM $B%5!<%P$H$N%$%s%?%U%'!<%94X?t$r3+H/(B.
        !           172:
        !           173: {\tt  \color{magenta}
        !           174: base\_cancel
        !           175: base\_choose
        !           176: base\_flatten
        !           177: base\_intersection
        !           178: base\_memberq
        !           179: base\_permutation
        !           180: base\_position
        !           181: base\_prune
        !           182: base\_replace
        !           183: base\_set\_minus
        !           184: base\_set\_union
        !           185: base\_subsetq
        !           186: base\_subsets\_of\_size}
        !           187: {\tt \color{blue}
        !           188: dsolv\_dual
        !           189: dsolv\_starting\_term
        !           190: }
        !           191: {\tt \color{red}
        !           192: glib\_line
        !           193: glib\_open
        !           194: glib\_plot
        !           195: glib\_print
        !           196: glib\_putpixel
        !           197: glib\_tops
        !           198: glib\_window}
        !           199: {\tt \color{magenta}
        !           200: gnuplot
        !           201: gnuplot\_heat
        !           202: gnuplot\_output
        !           203: gnuplot\_plot\_dots
        !           204: gnuplot\_plot\_function
        !           205: gnuplot\_start
        !           206: hilbert\_polynomial}
        !           207: {\tt \color{blue}
        !           208: m\_rtostr
        !           209: m\_start
        !           210: m\_tree\_to\_string
        !           211: }
        !           212: {\tt \color{red}
        !           213: matrix\_clone
        !           214: matrix\_det
        !           215: matrix\_diagonal\_matrix
        !           216: matrix\_eigenavalues
        !           217: matrix\_identity\_matrix
        !           218: matrix\_inner\_product
        !           219: matrix\_inverse
        !           220: matrix\_kernel
        !           221: matrix\_list\_to\_matrix
        !           222: matrix\_matrix\_to\_list
        !           223: matrix\_rank
        !           224: matrix\_solve\_linear
        !           225: matrix\_submatrix
        !           226: matrix\_transpose}
        !           227: {\tt \color{magenta}
        !           228: om\_start
        !           229: om\_xml
        !           230: om\_xml\_to\_cmo
        !           231: }
        !           232: {\tt \color{blue}
        !           233: ox\_check\_errors2
        !           234: ox\_sm1\_forAsir}
        !           235: {\tt \color{red}
        !           236: phc
        !           237: phc\_start}
        !           238: {\tt \color{magenta}
        !           239: plucker\_relation
        !           240: }
        !           241: {\tt \color{blue}
        !           242: poly\_degree
        !           243: poly\_elimination\_ideal
        !           244: poly\_factor
        !           245: poly\_gcd
        !           246: poly\_grobner\_basis
        !           247: poly\_hilbert\_polynomial
        !           248: poly\_initial
        !           249: poly\_initial\_coefficients
        !           250: poly\_initial\_term
        !           251: poly\_solve\_linear
        !           252: }
        !           253: {\tt \color{red}
        !           254: print\_dvi\_form
        !           255: print\_em
        !           256: print\_gif\_form
        !           257: print\_input\_form
        !           258: print\_open\_math\_tfb\_form
        !           259: print\_open\_math\_xml\_form
        !           260: print\_output
        !           261: print\_ox\_rfc100\_xml\_form
        !           262: print\_png\_form
        !           263: print\_terminal\_form
        !           264: print\_tex\_form
        !           265: print\_tfb\_form
        !           266: print\_xdvi\_form
        !           267: print\_xv\_form
        !           268: }
        !           269: {\tt \color{magenta}
        !           270: sm1
        !           271: sm1\_ahg
        !           272: sm1\_appell1
        !           273: sm1\_appell4
        !           274: sm1\_auto\_reduce
        !           275: sm1\_bfunction
        !           276: sm1\_deRham
        !           277: sm1\_distraction
        !           278: sm1\_gb
        !           279: sm1\_generalized\_bfunction
        !           280: sm1\_genericAnn
        !           281: sm1\_gkz
        !           282: sm1\_hilbert
        !           283: sm1\_mul
        !           284: sm1\_push\_int0
        !           285: sm1\_rank
        !           286: sm1\_reduction
        !           287: sm1\_restriction
        !           288: sm1\_saturation
        !           289: sm1\_slope
        !           290: sm1\_start
        !           291: sm1\_syz
        !           292: sm1\_wTensor0
        !           293: sm1\_xml\_tree\_to\_prefix\_string
        !           294: }
        !           295: {\tt \color{blue}
        !           296: tigers
        !           297: }
        !           298: {\tt \color{magenta}
        !           299: util\_filter
        !           300: util\_find\_and\_replace
        !           301: util\_find\_substr
        !           302: util\_load\_file\_as\_a\_string
        !           303: util\_part
        !           304: util\_read\_file\_as\_a\_string
        !           305: util\_remove\_cr
        !           306: util\_write\_string\_to\_a\_file
        !           307: }
        !           308:
        !           309: \rightline{$B3+H/(B: $BLnO$(B, $BCf;3(B, $B9b;3(B}
        !           310: \newpage
        !           311: \noindent
        !           312: 5. {\color{blue} $B%5!<%P$N?7$7$$?t3X4X?t(B}
        !           313:
        !           314: \noindent
        !           315: {\tt \color{red} ox\_asir} ($BLnO$(B). \\
        !           316: $B0L?t$N>.$5$$M-8BBN>e$G$NB?JQ?tB?9`<0$N0x?tJ,2r(B  \\
        !           317: ({\tt \color{magenta} sffctr},
        !           318: {\tt OpenXM\_contrib2/asir2000/engine/Fgfs.c}).
        !           319: $BM-8BBN>e$G$N=`AG%$%G%"%kJ,2rMQ(B
        !           320:
        !           321: \noindent
        !           322: {\tt \color{red} ox\_sm1} ($B9b;3(B). \\
        !           323: $B2r@OE*HyJ,:nMQAG4D$K$*$1$kF1<!2=(B \\
        !           324: ({\tt \color{magenta} ring\_of\_differential\_operators, weightHomogenization}, \\
        !           325: {\tt OpenXM/src/kan96xx/Kan/poly3.c}).
        !           326: Granger-Oaku $B$N(B Tangent Cone $B%"%k%4%j%:%`MQ(B
        !           327:
        !           328: \newpage
        !           329: \noindent
        !           330: 6. {\color{blue} OpenXM/fb --- $BD64v2?4X?t%G%8%?%k8x<0=8$H(B OpenMath }
        !           331:
        !           332: \nnn 1980 $BG/Be8eH>$N:4!9LZ$i$N8&5f(B.
        !           333:    ($B?t<0$N8!:wK!(B, $B?t<0$N8x<0=8$K$h$k=q$-49$((B, $B%G!<%?9=B$(B,
        !           334:     $B4dGH8x<0=8$r$b$H$K$7$?%G%8%?%k8x<0=8(B) \\
        !           335: \nnn $BB3$-(B: $B?91J(B, $BB<>e(B, $BLnED(B. \\
        !           336: \nnn {\tt http://functions.wolfram.com} \\  %%Pic: functions-wolfram.gif
        !           337: \nnn {\tt http://dlmf.nist.gov/} \\         %%Pic: as-digital-fb.gif
        !           338: \nnn OMDoc \\
        !           339:
        !           340:
        !           341: \noindent \quad \\
        !           342: \nnn $B8x<0$N?t3XE*0UL#$d;29MJ88%$J$I$N>pJs$r5!3#2DFI7A<0$G(B
        !           343:      $BJ];}$G$-$k8x<0=8(B $\Rightarrow$ {\color{blue} fb $B%?%0(B},
        !           344:      {\color{magenta} OpenMath}, {\color{blue} hypergeo*.ocd} \\
        !           345: \nnn $B$5$^$6$^$J?t3X35G0$K=@Fp$KBP1~$G$-$k8x<0=8(B
        !           346:       $\Rightarrow$ {\color{magenta} OpenMath}, {\color{blue} hypergeo*.ocd},
        !           347:      {\color{blue} intpath*.ocd} \\
        !           348: \nnn XML $B$N5!G=$r%U%k$K@8$+$7$?8x<0=8(B \\
        !           349: \nnn $B?t3X(B object $B$NF~NO$r87L)$K$+$DMF0W$K(B $\Rightarrow$ {\color{blue} tfb}$B8@8l(B \\
        !           350: \nnn $BCx:n8"$NLdBj$,$J$$8x<0=8(B.  \\
        !           351: \nnn $BF~NO%_%9$NH/8+$rJd=u$9$k5!G=(B $\Rightarrow$ {\color{blue} fb-checker}\\
        !           352: \nnn Web $B%Y!<%9$N(B Interactive $B$J5!G=$NDs6!(B
        !           353:      $\Rightarrow$ {\color{magenta} MathBook $B%?%0(B}  \\
        !           354:
        !           355: \newpage
        !           356:
        !           357: \noindent \quad \\
        !           358: \ttt DocBook (http://www.docbook.org), OpenMath (http://www.openmath.org)
        !           359:      $B$N(B XML $B%?%0$r3HD%(B (cf. A.Cohen et al):
        !           360:      formula $B$r(B $B%H%C%W%N!<%I$H$9$kFH<+$N%?%0(B
        !           361:      $\Rightarrow$ {\color{blue} fb XML $B%?%0(B} \\
        !           362:      {\color{red} new CD}:
        !           363:      hypergeo0, hypergeo1, hypergeo2, hypergeon0, hypergeon1,
        !           364:      hypergeon2, weylalgebra1  \\ %%Pic: ocd-contrib.gif, hypergeo1.gif
        !           365: \ttt OpenMath $B$N(B XML $B$H(B Content Dictionary $B$O(B
        !           366:       $B$5$^$6$^$J?t3X35G0$K=@Fp$KBP1~$G$-$k;EAH$_(B: \\
        !           367:       $B@QJ,O)$N5!3#2DFI7A<0$NF~NO$NLdBj(B
        !           368:       $\Rightarrow$
        !           369:       1 $B<!85$N@QJ,O)$rI=8=$9$k(B Content Dictionary {\tt intpath1} ($B9b;3(B)
        !           370:       $B$rDj5A(B. \\
        !           371: \ttt  DOM $B$d(B XSL $B$J$I(B XML $B$N5!G=(B.
        !           372:       XML $B$N5!G=$,(B $B%G%8%?%k8x<0=8$K$b(B
        !           373:       $BM-8z$G$"$k$3$H$r3NG'$7$?(B.   \\
        !           374: \ttt  {\color{blue} tfb} $B$O(B OpenMath $B%*%V%8%'%/%H$rI=8=$9$k$?$a$N8@8l$G$"$k(B. \\
        !           375:       cf. RIACA CD Editor($B%*%i%s%@(B) $B$d(B STAR/MathWriter (Stilo Technology)
        !           376: %%Pic: coq-starts.jpg
        !           377:       (GUI $B7?(B) \\
        !           378:       tfb $B$NFCD'(B:
        !           379:       OpenMath $B%*%V%8%'%/%H$N87L)$JF~NO$,MF0W$G$"$k$N$rFCD'(B \\
        !           380: \newpage
        !           381: \noindent \quad \\
        !           382: \ttt
        !           383:       fb $B$G$O(B 19$B@$5*(B, 20 $B@$5*$ND64v2?4X?t$N%*%j%8%J%kO@J8(B, $BK\$r$b$H$K(B
        !           384:       $B<+J,C#$G8x<0=8$NJT=8(B.  $BCx:n8"$O(B OpenXM/fb (Open $B$JAH?%(B) $B$,J];}$9$k(B. \\
        !           385: \ttt $B8x<0$NF~NO$K$O%_%9$,$D$-$b$N$G$"$k(B.
        !           386:       fb $B$G$O(B, $B?tCM7W;;$r$b$A$$$FL@$i$+$J8m$j$r8!=P$9$k;EAH$_$rDs6!(B
        !           387:       ({\color{blue} fb checker}). \\
        !           388:       OpenXM $BHG$N(B mathematica $B$*$h$S(B asir $B%5!<%P(B
        !           389:       $B$*$h$SA0=R$N(B OpenXM online $B$rMxMQ(B.
        !           390:       $B<B:]$K8x<0$NF~NO$r;O$a$F$_$F$o$+$C$?$3$H(B: \\
        !           391:       {\color{red} \underline{checker $B$N$*$+$2$G(B,
        !           392:         $B8x<0F~NO:n6H$O3Z$7$/$+$D@53N(B}} \\
        !           393: \ttt A.Cohen $B$i$N(B Interactive MathBook $B$N%?%0(B(Eindhoven tag library).
        !           394:       Interactive $B5!G=$O8x<0=8$K$H$j=EMW$G(B,
        !           395:       $B$?$H$($P8x<0$r;2>H$9$k$H$-$KJQ?t$NCV$-49$($OJXMx(B. \\
        !           396:      %%Pic: fb-h21-0040-replace.gif
        !           397:
        !           398: \newpage
        !           399:
        !           400: fb(formula,tfb)XML$BJ8=q$NNc(B ({\tt fb/formula/h21-0060.tfb}).
        !           401: {\small
        !           402: \begin{verbatim}
        !           403: <?xml version="1.0" encoding="ISO-2022-JP"?>
        !           404: <?xml-stylesheet type="text/xsl" href="fb.xsl"?>
        !           405: <formula>
        !           406:   <tfb>
        !           407:     2 ~arith1.times~ arith1.root(nums1.pi,2)
        !           408:       ~arith1.times~ hypergeo0.gamma(a ~arith1.plus~ b ~arith1.plus~
        !           409:         (1 ~arith1.divide~ 2))
        !           410:       ~arith1.divide~ hypergeo0.gamma(a ~arith1.plus~ (1 ~arith1.divide~ 2))
        !           411:       ~arith1.divide~ hypergeo0.gamma(b ~arith1.plus~ (1 ~arith1.divide~ 2))
        !           412:       ~arith1.times~ hypergeo1.hypergeometric2F1(a,b,1 ~arith1.divide~ 2,x)
        !           413:     ~relation1.eq~
        !           414:     (hypergeo1.hypergeometric2F1(2 ~arith1.times~ a, 2 ~arith1.times~ b,
        !           415:       a ~arith1.plus~ b ~arith1.plus~ (1 ~arith1.divide~ 2),
        !           416:       1 ~arith1.plus~ arith1.root(x,2) ~arith1.divide~ 2)
        !           417:       ~arith1.plus~
        !           418:       hypergeo1.hypergeometric2F1(2 ~arith1.times~ a, 2 ~arith1.times~ b,
        !           419:         a ~arith1.plus~ b ~arith1.plus~ (1 ~arith1.divide~ 2),
        !           420:         1 ~arith1.minus~ arith1.root(x,2) ~arith1.divide~ 2));
        !           421:   </tfb>
        !           422:
        !           423:   <editor> Yasushi Tamura </editor>
        !           424:
        !           425:   <description>
        !           426:     Quadratic transformation of independent variable
        !           427:   </description>
        !           428:
        !           429:   <reference>
        !           430:   <xref linkend="goursat1"  page="118"/>
        !           431:   </reference>
        !           432:
        !           433:   <evidence checker="Mathematica">
        !           434:     @@ /. {a->1/2,b->3/5,c->-2/11,x->0.2}
        !           435:   </evidence>
        !           436:
        !           437: </formula>
        !           438: \end{verbatim}
        !           439:
        !           440: \quad \\
        !           441: %%Pic: fb-h21-0060.gif
        !           442:
        !           443:
        !           444: \rightline{$B3+H/%A!<%U(B: $BEDB<(B}
        !           445: \rightline{$B3+H/(B: $BEDB<(B, $B9b;3(B}
        !           446: \rightline{$B8x<0JT=8%a%s%P!<(B:$BEDB<(B, $B9b;3(B,$BCf;3(B,$BF#F2(B,$BD9C+@n(B}
        !           447: \newpage
        !           448:
        !           449: \noindent
        !           450: 7. {\color{blue}  OpenXM $B4XO"$N=PHGJ*(B}
        !           451:
        !           452: \quad \\
        !           453: \nnn
        !           454: Edited by M.Joswig and N.Takayama:
        !           455: {\it Algebra, Geometry and Software Systems}, Springer,
        !           456: 2003 (to appear).
        !           457:
        !           458: \nnn
        !           459: $BLnO$(B, $B9b;3(B,  Risa/Asir $B%I%j%k(B (CD $BIU$-(B), \\
        !           460: {\tt http://www.math.kobe-u.ac.jp/Asir} \\
        !           461: (takayama@openxm.org: $BG[I[<j?tNA(B 1,500 $B1_(B ($B:-Jq(B, $BAwNA9~(B, $BK\BN$N$_$O(B 1,000 $B1_(B))
        !           462:
        !           463: \nnn $BC;$$%S%G%*(B
        !           464:
        !           465: \nnn {\color{magenta} http://www.openxm.org}
        !           466:
        !           467: \newpage
        !           468: \end{document}

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