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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 667 "y:=x^2-k;\nA(0,0) :
= 1/y;\nB(0,0) := diff(y,x)/y;\nfor i from 1 to 2 do w := i;\n#\n# Res
ults for A(0,w) verified correct.\n#\nA(0,w):= simplify(sum('(-1)^(a-1
)*y^(a-1)*diff(y,x$w)*y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1));\n#\n#
 Results for B(0,w) verified correct.\n#\nB(0,w):= simplify(sum('(-1)^
(a)*y^(a)*diff(y,x$(w+1))*y^(w-a+1)*A(0,w-a)/a!','a'=1..w)/y^(w+1)); #
\n# Results for A(0,w) \n#\nA(l,w) := simplify(sum('(-1)^(a)*l!*x^(l-a
)*y^a*y^(w-a+1)*A(0,w-a)','a'=0..min(w,w))/y^(w+1));\n#\n# Results for
 B(0,w)\n#\nB(l,w) := simplify(sum('(-1)^(a)*l!*x^(l-a)*y^a*y^(w-a+1)*
B(0,w-a)','a'=0..min(w,w))/y^(w+1));\n#xprime  := x - A(l,w-1)/A(l,w);
\n#xxprime := x - B(l,w-1)/B(l,w);\nod;" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%\"yG,&*$%\"xG\"\"#\"\"\"%\"kG!\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>-%\"AG6$\"\"!F'*$,&*$%\"xG\"\"#\"\"\"%\"kG!\"\"F/" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!F',$*&%\"xG\"\"\",&*$F*
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" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"AG6$\"\"!\"\"\",$*&%\"xGF(,&*
$F+\"\"#!\"\"%\"kGF(!\"#F." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6
$\"\"!\"\"\",$*$,&*$%\"xG\"\"#!\"\"%\"kGF(F/F." }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"\"*(,&)%\"xG,&F'F(F(F(F(*&)F,,&F'F(!
\"\"F(F(%\"kGF(F(F(,&*$F,\"\"#F1F2F(!\"#-%&GAMMAG6#F-F(" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>-%\"BG6$%\"lG\"\"\",$*()%\"xGF'F(,&*$F,\"\"#!\"
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\"#,$*&,(%\"xG\"\"%*$F,F(!\"\"%\"kG\"\"\"F1,&F.F/F0F1!\"$F/" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>-%\"BG6$\"\"!\"\"#F'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>-%\"AG6$%\"lG\"\"#,$*(,*)%\"xG,&F'\"\"\"F/F/\"\"%)F-,&
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\"lG\"\"#,$*(-%&GAMMAG6#,&F'\"\"\"F/F/F/)%\"xG,&F'F/!\"\"F/F/,&*$F1F(F
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