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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 178 "gradstep:=proc(f,pt,epsilon
);\nx1:=pt[1];\ny1:=pt[2];\ngradx:=eval(diff(f(x,y),x),x=x1,y=y1);\ngr
ady:=eval(diff(f(x,y),y),x=x1,y=y1);\nx2:=x1-epsilon*gradx;\ny2:=y1-ep
silon*grady;\nend;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 7 "
" 1 "" {TEXT -1 42 "Warning, `x1` is implicitly declared local" }}
{PARA 7 "" 1 "" {TEXT -1 42 "Warning, `y1` is implicitly declared loca
l" }}{PARA 7 "" 1 "" {TEXT -1 45 "Warning, `gradx` is implicitly decla
red local" }}{PARA 7 "" 1 "" {TEXT -1 45 "Warning, `grady` is implicit
ly declared local" }}{PARA 7 "" 1 "" {TEXT -1 42 "Warning, `x2` is imp
licitly declared local" }}{PARA 7 "" 1 "" {TEXT -1 42 "Warning, `y2` i
s implicitly declared local" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)grad
stepGR6%%\"fG%#ptG%(epsilonG6(%#x1G%#y1G%&gradxG%&gradyG%#x2G%#y2G6\"F
1C(>8$&9%6#\"\"\">8%&F66#\"\"#>8&-%%evalG6%-%%diffG6$-9$6$%\"xG%\"yGFI
/FIF4/FJF:>8'-FA6%-FD6$FFFJFKFL>8(,&F4F8*&9&F8F?F8!\"\">8),&F:F8*&FW\"
\"\"FNF8FXF1F1F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f:=(x,y
)->x^2+y^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6$%\"xG%\"yG6\"6
$%)operatorG%&arrowGF),&*$)9$\"\"#\"\"\"\"\"\"*$)9%F1F2F3F)F)F)" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "gradstep(f,[1,1],1);" }}
{PARA 8 "" 1 "" {TEXT -1 74 "Error, (in gradstep) wrong number (or typ
e) of parameters in function eval" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 199 "gradstep:=proc(f,pt,epsilon);\nx1:=pt[1];\ny1:=pt[2]
;\ngradx:=eval(diff(f(x,y),x),\{x=x1,y=y1\});\ngrady:=eval(diff(f(x,y)
,y),\{x=x1,y=y1\});\nx2:=x1-epsilon*gradx;\ny2:=y1-epsilon*grady;\nRET
URN([x2,y2]);\nend;" }}{PARA 7 "" 1 "" {TEXT -1 42 "Warning, `x1` is i
mplicitly declared local" }}{PARA 7 "" 1 "" {TEXT -1 42 "Warning, `y1`
 is implicitly declared local" }}{PARA 7 "" 1 "" {TEXT -1 45 "Warning,
 `gradx` is implicitly declared local" }}{PARA 7 "" 1 "" {TEXT -1 45 "
Warning, `grady` is implicitly declared local" }}{PARA 7 "" 1 "" 
{TEXT -1 42 "Warning, `x2` is implicitly declared local" }}{PARA 7 "" 
1 "" {TEXT -1 42 "Warning, `y2` is implicitly declared local" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%)gradstepGR6%%\"fG%#ptG%(epsilonG6(%#x1G%#
y1G%&gradxG%&gradyG%#x2G%#y2G6\"F1C)>8$&9%6#\"\"\">8%&F66#\"\"#>8&-%%e
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}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "gradstep(f,[1,1],1);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#7$!\"\"F$" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 6 "x1;y1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%#x1G" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#%#y1G" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 21 "gradstep(f,[1,1],.3);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#7$$\"\"%!\"\"F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 146 "n
ewplot:=proc(f,list,dim);\n  if dim=2 then\n    plot(f,list[1]..list[2
])\n  else\n    plot3d(f,'list[1]'..'list[2]','list[3]'..'list[4]');\n
  fi;\nend;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%(newplotGR6%%\"fG%%listG%$dimG6\"F*F*@%/9&\"\"#-%%plo
tG6$9$;&9%6#\"\"\"&F56#F.-%'plot3dG6%F2;.F4.F8;.&F56#\"\"$.&F56#\"\"%F
*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "newplot(f,[-1,-1,1
,1],3);" }}{PARA 8 "" 1 "" {TEXT -1 129 "Error, (in plot3d/expression)
 bad range arguments, [-1, -1, 1, 1][1] .. [-1, -1, 1, 1][2], [-1, -1,
 1, 1][3] .. [-1, -1, 1, 1][4]" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 100 "newplot:=proc(f,dim);\n  if dim=2 then\n    plot(f,-1..1)\n  \+
else\n    plot3d(f,-1..1,-1..1);\n  fi;\nend;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%(newplotGR6$%\"fG%$dimG6\"F)F)@%/9%\"\"#-%%plotG6$9$;
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