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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 18 "" 0 "" {TEXT 
-1 13 "Contour Plots" }}{PARA 19 "" 0 "" {TEXT -1 16 "Warren Weckesser
" }}{PARA 0 "" 0 "" {TEXT -1 65 "This Maple session gives some example
s of creating contour plots." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT -1 32 "First, load the \"plots\" library:" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 65 "Define an
 expression to hold f(x,y).  We'll do a contour plot for" }}{PARA 0 "
" 0 "" {TEXT -1 22 "   f(x,y) = x^2+2*y^2." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f := x^2 + 2*y^2;
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,&*$)%\"xG\"\"#\"\"\"F**&F)F
*)%\"yGF)F*F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 
"" {TEXT -1 4 "The " }{TEXT 256 11 "contourplot" }{TEXT -1 138 " comma
nd creates a contour plot.  The first argument is the function; the se
cond and third arguments are the x and y ranges, respectively." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 31 "contourplot(f,x=-1..1,y=-1..1);" }}{PARA 13 "" 1 "" {GLPLOT2D 
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ABELSG6$%\"xG%\"yG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 46.000000 
45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve
 6" "Curve 7" "Curve 8" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 113 "After the first three arguments, you can
 include many optional arguments.  The following are just a small samp
le." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 118 "Y
ou can specify the exact number of contours to draw with \"contours=N
\" (replace N with the number).  The default is 8." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 142 "OR, you can specify the \+
actual contour values to be used to create the contour lines with \"co
ntours=[z1,z2,...,zn]\".  For example, the option " }{TEXT 257 29 "con
tours=[0,0.5,1,1.5,2,2.5] " }{TEXT -1 62 "would create a contour plot \+
with the six given contour values." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 75 "You can change the color of the contour l
ines; for example,  \"color=green\"." }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT -1 135 "You can force the plot to use the same
 scaling on the x and y axes (so a circle really looks like a circle) \+
with \"scaling=constrained\"." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 211 "If the curves in the contour plot look j
agged, you can increase the resolution with the option \"grid=[Nx,Ny]
\", where you replace Nx and Ny with integers that give the x and y re
solutions. The default is [25,25]." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 46 "Here are some examples that use these opt
ions:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "contourplot(f,x=-1
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