{VERSION 4 0 "SUN SPARC SOLARIS" "4.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 
{CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 0 }1 0 0 
-1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "
" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }
{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 1 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 
13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 
-1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 1 14 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 
0 257 1 {CSTYLE "" -1 -1 "" 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 
-1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 258 1 {CSTYLE "" -1 -1 "" 0 
14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 257 "" 0 "" {TEXT -1 9 "Math 4530" }}{PARA 258 "
" 0 "" {TEXT -1 15 "Monday April 15" }}{PARA 256 "" 0 "" {TEXT -1 51 "
Weierstrass-Enneper procedure, both representations" }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "restart:w
ith(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changeco
ords has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 521 "Fir
st we do the WE-1 representation which uses general gauss map g.  This
 is a simple adaptation of the WE-2 procedure on page 249 or Oprea.  I
f you had a particular domain you were interested in constructing a mi
nimal surface over you could write a more complicated procedure to com
pute line integrals, over whatever curves you wanted.  This is how you
 would have to approach cases where the indefinite integration procedu
re would run into trouble because your domain wasn't rectangular, or w
orse,  not simply connected." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 306 "#Procedure which uses general gauss map g, adapted from Oprea p
age 249\nWE1:=proc(f,g)\nlocal Z1,Z2,Z3, X1,X2,X3,X;\nZ1:=int(f*(1-g^2
),z);\nZ2:=int(I*f*(1+g^2),z);\nZ3:=int(2*f*g,z);\nX1:=evalc(Re(subs(z
=u+I*v,Z1)));\nX2:=evalc(Re(subs(z=u+I*v,Z2)));\nX3:=evalc(Re(subs(z=u
+I*v,Z3)));\nX:=simplify([X1,X2,X3]);\nend:" }}}{PARA 0 "" 0 "" {TEXT 
-1 78 "Test it on Enneper.  We did this example by hand at the end of \+
class on Friday" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "Enne1:=WE
1(-z^2,-1/z);\nplot3d(Enne1,u=-1..1,v=-1..1,color=black,style=wirefram
e);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&Enne1G7%,(*$)%\"uG\"\"$\"\"
\"#!\"\"F**&F)F+)%\"vG\"\"#F+F+F)F+,(*&)F)F1F+F0F+F+*&#F+F*F+*$)F0F*F+
F+F-F0F+,&*$F4F+F+*$F/F+F-" }}{PARA 13 "" 1 "" {GLPLOT3D 349 285 285 
{PLOTDATA 3 "6$-%%MESHG6$X.%)anythingG6\"6\"^[[[[]\\q^`r\":\":\"$BFFAA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-%&COLORG6&%$RGBG$\"\"!F/F.F.-%&STY
LEG6#%%LINEG" 1 6 0 1 10 0 2 1 1 2 1 1.000000 61.000000 -64.000000 0 
0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 151 "You shouldn't be \+
fooled by how easily this one turned out; in many examples Maple will \+
not be as good at simplifying the formula for X(u,v) as you are." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 326 "We will \+
talk in class about the second WE-representation, in which you change \+
variables from z to tau=g(z).  In the new variables G(tau)=tau, so you
 can  think of this as a special case of WE1.  If you are changing fro
m WE2 to WE1, the change from (f,g) to (F,id) is a little tricky thoug
h, see class notes of Enneper example." }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "#procedure for second v
ersion of Weierstrass formula\nWE2:=proc(F)\nWE1(F,z);\nend:" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 72 "Test it on the Enneper.  From clas
s notes, when G(z)=z then F(z)=-1/z^4!" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 34 "Enne2:=WE2(-1/(z^4));\n#what a mess" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%&Enne2G7%,$*&*&,,*$)%\"uG\"\"%\"\"\"\"\"$*$)F,\"\"
#F.!\"\"*(\"\"'F.F1F.)%\"vGF2F.F.*&F/F.F6F.F.*&F/F.)F7F-F.F.F.F,F.F.*&
,&F0F.*$F6F.F.F.,(F*F.*(F2F.F1F.F6F.F.*$F:F.F.F.F3#F3F/,$*&*&,,F*F/*&F
/F.F1F.F.*(F5F.F1F.F6F.F.F=F3*&F/F.F:F.F.F.F7F.F.*&F<F.F>F.F3#F.F/*&,&
F0F.F=F3F.F>F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 122 "simplify
(subs(\{u=-x/(x^2+y^2),v=y/(x^2+y^2)\},Enne2));\n#substituting u+iv = \+
g(z+iy)=-1/z, does recover old parameterization" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#7%,$*&%\"xG\"\"\",(*$)F&\"\"#F'F'\"\"$!\"\"*&F,F')%\"yG
F+F'F-F'#F-F,,$*&F0F',(F)F,F,F'*$F/F'F-F'#F'F,,&F)F'F5F-" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "Enne3:=WE2(1);\n#the easiest way to
 get Enneper! (Oprea 7.3.10)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&Enn
e3G7%,(*$)%\"uG\"\"$\"\"\"#!\"\"F**&F)F+)%\"vG\"\"#F+F+F)F+,(*&)F)F1F+
F0F+F-*&#F+F*F+)F0F*F+F+F0F-,&*$F4F+F+*$F/F+F-" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 30 "Another example, the Catenoid:" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 90 "Cat1:=WE1(-exp(-z)/2,-exp(z));\nplot3d(Cat1,u
=-1..1,v=0..2*Pi,color=black,style=wireframe);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%Cat1G7%,$*(-%$cosG6#%\"vG\"\"\",&F,F,-%$expG6#,$%\"u
G\"\"#F,F,-F/6#,$F2!\"\"F,#F,F3,$*(-%$sinGF*F,F-F,F4F,F8F2" }}{PARA 
13 "" 1 "" {GLPLOT3D 353 285 285 {PLOTDATA 3 "6$-%%MESHG6$X.%)anything
G6\"6\"^[[[[]\\q^`r\":\":\"$3FF8B07551D9F5520000000000000000BFF0000000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-%
&COLORG6&%$RGBG$\"\"!F/F.F.-%&STYLEG6#%%LINEG" 1 6 0 1 10 0 2 1 1 2 1 
1.000000 60.000000 37.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 8 "Whereas:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "Cat
2:=WE2(1/(2*z^2));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%Cat2G7%,$*&
*&%\"uG\"\"\",(*$)F)\"\"#F*F**$)%\"vGF.F*F*F*F*F*F*,&F,F*F/F*!\"\"#F3F
.,$*&*&F1F*F+F*F*F2F3F4,$-%#lnG6#F2#F*F." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 124 "simplify(subs(\{u=-exp(x)*cos(y),v=-exp(x)*sin(y)\},
Cat2));\n#substituting back in that u+iv = g(x+iy) will recover old fo
rmula" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%,$*(-%$cosG6#%\"yG\"\"\",&-
%$expG6#,$%\"xG\"\"#F*F*F*F*-F-6#,$F0!\"\"F*#F*F1,$*(-%$sinGF(F*F+F*F2
F*F6,$-%#lnG6#F,F6" }}}}{MARK "8 0 0" 71 }{VIEWOPTS 1 1 0 1 1 1803 1 
1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }