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20 "6#>%(newtonyG,$*(\"\"#!\"\"%\"yGF',&F)\"\"\"F+F(F(F+" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%*newtonmapGf*6#%\"PG6\"6$%)operatorG%&arrowGF(
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\"\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "newtonmap([1,4/5])
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "x0:=1; y0:=4/5;\nX:=[x0,y0];
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" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"\"\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#y0G#\"\"%\"\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
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ewtonmapGf*6#%\"PG6\"6$%)operatorG%&arrowGF(-%&evalmG6#-%%subsG6%/%\"x
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{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"QGK%'matrixG6#7$7#\"\"\"7##\"\"%\"
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{MPLTEXT 1 0 77 "with(plots):\ncplot:=contourplot(f,x=-3..1.7,y=-1.7..
3,levels=60,filled=true):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
361 "with(plottools):\nP:=evalm([[1],[4/5]]);\npt[0]:=point([P[1,1],P[
2,1]]);\nnits:=4;\nfor i from 1 to nits do\n   Q:=newtonmap(P);\n   l[
i]:=line([P[1,1],P[2,1]],[Q[1,1],Q[2,1]],color=white):\n   pt[i]:=poin
t([Q[1,1],Q[2,1]],color=white,symbolsize=4);\n   P:=evalm(Q); # needde
d to force immediate evaluation\nod;\ndisplay(seq(l[i],i=1..nits),seq(
pt[i],i=0..nits),cplot);\n\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG
K%'matrixG6#7$7#\"\"\"7##\"\"%\"\"&Q(pprint06\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>&%#ptG6#\"\"!-%'POINTSG6#7$$\"\"\"F'$\"+++++!)!#5" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%nitsG\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"QGK%'matrixG6#7$7##\"\"\"\"\"%7##!\")\"\"&Q(pprint0
6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"lG6#\"\"\"-%'CURVESG6$7$7$
$F'\"\"!$\"+++++!)!#57$$\"+++++DF1$!+++++;!\"*-%'COLOURG6&%$RGBG$\"*++
++\"!\")F<F<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#ptG6#\"\"\"-%'POIN
TSG6%7$$\"+++++D!#5$!+++++;!\"*-%'COLOURG6&%$RGBG$\"*++++\"!\")F6F6-%'
SYMBOLG6$%(DEFAULTG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PGK%'m
atrixG6#7$7##\"\"\"\"\"%7##!\")\"\"&Q(pprint06\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"QGK%'matrixG6#7$7##\"\"\"\"#S7##!#K\"#lQ(pprint06\"
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"lG6#\"\"#-%'CURVESG6$7$7$$\"+
++++D!#5$!+++++;!\"*7$$F.!#6$!+Bp2B\\F/-%'COLOURG6&%$RGBG$\"*++++\"!\"
)F<F<" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%#ptG6#\"\"#-%'POINTSG6%7$$
\"+++++D!#6$!+Bp2B\\!#5-%'COLOURG6&%$RGBG$\"*++++\"!\")F6F6-%'SYMBOLG6
$%(DEFAULTG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PGK%'matrixG6#
7$7##\"\"\"\"#S7##!#K\"#lQ(pprint06\"" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%\"QGK%'matrixG6#7$7##\"\"\"\"%!G$7##!$7&\"%0jQ(pprint06\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>&%\"lG6#\"\"$-%'CURVESG6$7$7$$\"+++++
D!#6$!+Bp2B\\!#57$$\"+)[!y[I!#8$!+b#R07)F/-%'COLOURG6&%$RGBG$\"*++++\"
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7$$\"+)[!y[I!#8$!+b#R07)!#6-%'COLOURG6&%$RGBG$\"*++++\"!\")F6F6-%'SYMB
OLG6$%(DEFAULTG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PGK%'matri
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{XPPMATH 20 "6#>%\"QGK%'matrixG6#7$7##\"\"\"\")gL_@7##!'s58\")&=\")H%Q
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G6$7$7$$\"+)[!y[I!#8$!+b#R07)!#67$$\"+LZ6YY!#<$!+*Q?&\\I!#7-%'COLOURG6
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\"\"%-%'POINTSG6%7$$\"+LZ6YY!#<$!+*Q?&\\I!#7-%'COLOURG6&%$RGBG$\"*++++
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>%\"PGK%'matrixG6#7$7##\"\"\"\")gL_@7##!'s58\")&=\")H%Q(pprint06\"" }}
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