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area-preserving maps; separatrix splitting; resonant periodic orbits
---------------0010121001573
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%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
_cf aload pop setcmykcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
{
_os setoverprint
_cs aload pop setcmykcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_if _gf 1 exch sub setcustomcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_is _gs 1 exch sub setcustomcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
} for
_dp 1 sub _dl mod 1 add packedarray
_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
definepattern pop
} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
{
null dp
} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
{
0
{
dup 1 add index type /arraytype eq
{
1 add
}
{
exit
} ifelse
} loop
array astore
} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
{
/_d exch _dd exch get def
0 2 _d length 2 sub
{
/_x exch def
/_c _d _x get _ ne def
/_r _d _x 1 add get cvlit def
_r _ ne
{
_urx _llx sub _ury _lly sub [1 0 0 1 0 0]
[
/save cvx
_llx neg _lly neg /translate cvx
_c
{
nc /begin cvx
} if
_r dup type /stringtype eq
{
cvx
}
{
{exec} /forall cvx
} ifelse
_c
{
/end cvx
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207.2769 490.1089 l
207.3174 490.0547 l
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209.1299 487.4546 l
209.251 487.2773 l
209.7373 486.5845 l
210.0537 486.127 l
210.2207 485.8901 l
210.7041 485.1973 l
210.98 484.8022 l
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211.9038 483.4795 l
212.1602 483.1143 l
212.646 482.4199 l
212.8306 482.1563 l
213.1299 481.7266 l
213.6162 481.0322 l
213.7568 480.8335 l
214.1021 480.3369 l
214.5859 479.644 l
214.6807 479.5107 l
S
214.6807 479.5107 m
215.0718 478.9497 l
215.5581 478.2563 l
215.6074 478.1855 l
216.0415 477.562 l
216.5278 476.8691 l
216.5308 476.8623 l
217.0112 476.1738 l
217.4575 475.5376 l
217.4976 475.4795 l
217.981 474.7861 l
218.3838 474.21 l
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218.9478 473.3984 l
219.3076 472.8804 l
219.4312 472.7036 l
219.9121 472.0088 l
220.2339 471.5493 l
220.3955 471.3159 l
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221.1577 470.2139 l
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226.5762 462.2935 l
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227.042 461.6006 l
227.5054 460.9053 l
227.6348 460.7109 l
227.9688 460.2129 l
228.4292 459.5176 l
228.5615 459.3174 l
228.8867 458.8232 l
229.3442 458.1299 l
229.4883 457.9097 l
229.7959 457.4351 l
230.2476 456.7432 l
230.4116 456.4878 l
S
230.4116 456.4878 m
230.6968 456.0474 l
231.1426 455.353 l
231.3384 455.0464 l
231.583 454.6602 l
232.0229 453.9648 l
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232.8892 452.5771 l
233.1885 452.0957 l
233.3179 451.8838 l
233.7437 451.1895 l
234.1123 450.5791 l
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236.1982 447.0244 l
236.5898 446.332 l
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240.7622 438.0039 l
241.0586 437.3086 l
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242.4424 433.6958 l
242.6265 433.1455 l
242.8511 432.4512 l
243.064 431.7578 l
243.2627 431.0635 l
S
243.2627 431.0635 m
243.3662 430.6899 l
243.4526 430.3682 l
243.6279 429.6753 l
243.792 428.981 l
243.9443 428.2876 l
244.0825 427.5933 l
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244.2925 426.3716 l
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244.5688 424.123 l
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244.7129 420.6528 l
244.6982 419.96 l
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244.6265 418.5703 l
244.5688 417.877 l
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244.2065 415.1016 l
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240.457 403.3037 l
240.1436 402.6084 l
239.8213 401.9141 l
239.6655 401.584 l
S
239.6655 401.584 m
239.4932 401.2207 l
239.1533 400.5254 l
238.8081 399.834 l
238.7393 399.6992 l
238.4541 399.1377 l
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237.355 397.0557 l
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S
225.166 377.625 m
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Q
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153.6265 313.0947 l
s
U
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R1_a.eps:
\message{Writing file R1_a.eps}
\psdump{R1_a.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R1_a.eps)
%%CreationDate: (10/4/00) (7:07 PM)
%%BoundingBox: 153 312 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
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%%EndResource
%%EndProlog
%%BeginSetup
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Adobe_customcolor /initialize get exec
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%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
_cf aload pop setcmykcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
{
_os setoverprint
_cs aload pop setcmykcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_if _gf 1 exch sub setcustomcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_is _gs 1 exch sub setcustomcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
} for
_dp 1 sub _dl mod 1 add packedarray
_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
definepattern pop
} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
{
null dp
} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
{
0
{
dup 1 add index type /arraytype eq
{
1 add
}
{
exit
} ifelse
} loop
array astore
} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
{
/_d exch _dd exch get def
0 2 _d length 2 sub
{
/_x exch def
/_c _d _x get _ ne def
/_r _d _x 1 add get cvlit def
_r _ ne
{
_urx _llx sub _ury _lly sub [1 0 0 1 0 0]
[
/save cvx
_llx neg _lly neg /translate cvx
_c
{
nc /begin cvx
} if
_r dup type /stringtype eq
{
cvx
}
{
{exec} /forall cvx
} ifelse
_c
{
/end cvx
} if
/restore cvx
] cvx
/_fn 12 _n length add string def
_y _fn cvs pop
/_y _y 1 add def
_fn 12 _n putinterval
_fn _c false dp
_d exch _x 1 add exch put
} if
} for
} for
null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
{
dup _pm rotate fc
1 -1 _pm scale fc
neg _pm rotate fc
}
{
pop
} ifelse
dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
/_pf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
patternfill
}
{
pop
fill
} ifelse
grestore
pop
} for
pop
} for
restore
newpath
} ddef
/_psf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
9 copy 6 npop patternashow
}
{
pop
6 copy 3 npop ashow
} ifelse
grestore
pop
} for
pop
} for
restore
%3 npop newpath
sw rmoveto
} ddef
/_pjsf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
12 copy 6 npop patternawidthshow
}
{
pop 9 copy 3 npop awidthshow
} ifelse
grestore
pop
} for
pop
} for
restore
swj rmoveto
} ddef
/_lp /none ddef
} def
/sc
{
_sm dup concatmatrix pop
} def
/P
{
/_sm exch ddef
9 -2 roll _pm translate sc
7 -2 roll _pm scale sc
5 -1 roll _pm rotate sc
4 -2 roll exch 0 ne
{
dup _pm rotate sc
1 -1 _pm scale sc
neg _pm rotate sc
}
{
pop
} ifelse
dup _pm rotate sc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore sc
neg _pm rotate sc
_pd exch get /_sdd exch ddef
/_ps
{
save
/_doClip 0 ddef
0 1 _sdd length 1 sub
{
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%%EndProlog
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Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_pattern_AI3 /initialize get exec
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260.9468 408.7891 l
260.6802 408.1611 l
260.3721 407.4668 l
260.0498 406.7744 l
S
260.0498 406.7744 m
260.0239 406.7158 l
259.7158 406.0791 l
259.3682 405.3838 l
259.0972 404.8594 l
259.0107 404.6914 l
258.6401 403.9961 l
258.2568 403.3037 l
258.1738 403.1504 l
257.8662 402.6084 l
257.4629 401.9141 l
257.2471 401.5488 l
257.0508 401.2207 l
256.6309 400.5254 l
256.3208 400.0273 l
256.2002 399.834 l
255.7588 399.1377 l
255.397 398.5723 l
255.313 398.4434 l
254.8589 397.751 l
254.4702 397.1699 l
254.395 397.0557 l
253.9258 396.3633 l
253.5469 395.8086 l
253.4487 395.668 l
252.9653 394.9756 l
252.6201 394.4834 l
252.4761 394.2803 l
251.9814 393.5859 l
251.6963 393.1885 l
251.4805 392.8936 l
250.9771 392.1973 l
250.77 391.917 l
250.4678 391.5059 l
249.9526 390.8105 l
249.8433 390.665 l
249.4316 390.1152 l
248.9194 389.4336 l
248.9111 389.4219 l
248.3843 388.7275 l
247.9932 388.2158 l
247.855 388.0352 l
247.3198 387.3398 l
247.0693 387.0137 l
246.7847 386.6475 l
246.2466 385.9521 l
246.1431 385.8213 l
245.7026 385.2578 l
245.2163 384.6387 l
245.1587 384.5645 l
244.6123 383.8701 l
S
244.6123 383.8701 m
244.2925 383.4639 l
244.0654 383.1768 l
243.5156 382.4824 l
243.3662 382.2969 l
242.9634 381.7871 l
242.4424 381.1338 l
242.4106 381.0947 l
241.8555 380.3994 l
241.5161 379.9766 l
241.3003 379.707 l
240.7417 379.0117 l
240.5923 378.8242 l
240.1836 378.3184 l
239.6655 377.6738 l
239.6255 377.625 l
239.0674 376.9297 l
238.7393 376.5254 l
238.5059 376.2363 l
237.9448 375.541 l
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237.3838 374.8486 l
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236.8228 374.1543 l
236.2617 373.459 l
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235.6978 372.7666 l
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235.0386 371.9531 l
234.5757 371.3789 l
234.1123 370.8086 l
234.0117 370.6836 l
233.4502 369.9912 l
233.1885 369.665 l
232.8892 369.2959 l
232.3281 368.6016 l
232.2622 368.5234 l
231.7671 367.9082 l
231.3384 367.3779 l
231.2061 367.2139 l
230.645 366.5215 l
230.4116 366.2314 l
230.0835 365.8262 l
229.5254 365.1309 l
229.4883 365.083 l
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228.5615 363.9355 l
228.4092 363.7441 l
227.8506 363.0508 l
227.6348 362.7832 l
227.2925 362.3555 l
S
227.2925 362.3555 m
226.7373 361.6631 l
226.7114 361.6309 l
226.1816 360.9678 l
225.7847 360.4746 l
225.6265 360.2734 l
225.0713 359.5801 l
224.8613 359.3145 l
224.5186 358.8857 l
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210.0537 340.3174 m
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208.874 338.7598 l
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153.6265 313.0947 m
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153.6265 528.9053 l
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153.6265 313.0947 l
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U
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R2_0.eps:
\message{Writing file R2_0.eps}
\psdump{R2_0.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R2_0.eps)
%%CreationDate: (10/4/00) (7:07 PM)
%%BoundingBox: 153 312 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
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221.1089 369.9912 m
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219.9722 367.9082 l
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
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% Here is the PostScript for R2_a.eps:
\message{Writing file R2_a.eps}
\psdump{R2_a.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R2_a.eps)
%%CreationDate: (10/4/00) (7:07 PM)
%%BoundingBox: 153 312 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
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396.7266 359.5801 l
396.9736 358.9521 l
397.0029 358.8857 l
397.2793 358.1924 l
397.5547 357.498 l
397.832 356.8027 l
397.9014 356.6309 l
398.1084 356.1104 l
S
398.1084 356.1104 m
398.3867 355.415 l
398.6631 354.7227 l
398.8271 354.3145 l
398.9395 354.0273 l
399.2188 353.333 l
399.4951 352.6406 l
399.751 352.002 l
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400.0527 351.252 l
400.3291 350.5566 l
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400.8848 349.1699 l
401.1641 348.4746 l
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401.998 346.3945 l
402.2773 345.6992 l
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402.833 344.3115 l
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403.9434 341.5371 l
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406.1563 335.9834 l
406.2275 335.8008 l
406.4316 335.2891 l
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408.0811 331.126 l
408.3574 330.4307 l
408.6309 329.7383 l
408.9043 329.043 l
S
408.9043 329.043 m
409.0049 328.7891 l
409.1777 328.3486 l
409.4512 327.6563 l
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412.7051 319.3271 l
412.7051 319.3252 l
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413.2432 317.9395 l
413.5107 317.2451 l
S
181.4888 524.7549 m
181.7568 524.0605 l
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182.2949 522.6724 l
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191.0566 500.4634 l
191.3359 499.771 l
191.5488 499.2397 l
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191.8911 498.3828 l
S
191.8911 498.3828 m
192.1675 497.6885 l
192.4463 496.9951 l
192.4722 496.9282 l
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201.8213 473.3984 l
202.0889 472.7036 l
202.3564 472.0088 l
202.624 471.3159 l
S
202.624 471.3159 m
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211.9038 443.6045 l
S
211.9038 443.6045 m
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213.1987 438.0039 l
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S
214.5283 412.3242 m
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S
207.2251 383.1768 m
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S
196.8921 356.1104 m
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186.0957 329.043 m
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S
Q
0.25 w 4 M
153.6265 313.0947 m
441.374 313.0947 l
441.374 528.9053 l
153.6265 528.9053 l
153.6265 313.0947 l
153.6265 313.0947 l
s
U
U
0 A
0 R
0 G
0 i
0 J 0 j 2 w 10 M []0 d
%AI3_Note:
0 D
298.2871 420.8569 m
298.2871 420.5806 298.0635 420.3569 297.7871 420.3569 c
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R2_p.eps:
\message{Writing file R2_p.eps}
\psdump{R2_p.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R2_p.eps)
%%CreationDate: (10/4/00) (7:08 PM)
%%BoundingBox: 153 312 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
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%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
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%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
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userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
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Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
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/terminate
{
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Adobe_Illustrator_AI3_vars 3 1 roll put
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{
dup dup load dup
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load begin def end
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{
pop
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false charpath currentpoint
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pl curveto
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pl lineto
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setlinecap
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setlinewidth
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closepath
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{
/CRender {N} ddef
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{N} def
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{
_doClip 1 eq
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gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
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{
_pf
}ifelse
}
{
/CRender {F} ddef
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closepath
F
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{
_doClip 1 eq
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gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
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{
closepath
S
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_pola 0 eq
{
_doClip 1 eq
gsave F grestore
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gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
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closepath
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/_doClip 1 ddef
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count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
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{} def
/U
{} def
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/*U
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} def
/D
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/*W
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/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
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0 setlinecap
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0 setlinejoin
10 setmiterlimit
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/setstrokeadjust where {pop false setstrokeadjust} if
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0 setgray
false setoverprint
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/~
{
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/@
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0 ne
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0 ne
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_fc
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_fc
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_lp /stroke ne
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_os setoverprint
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{
_sc
ss
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_sc
jss
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/k
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{
_lp /fill ne
{
_of setoverprint
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_fc
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_fc
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} if
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{
_sc
ss
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{
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{
_sc
jss
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dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
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definepattern pop
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{
_dp 0 ne _dp _dl mod 0 eq and
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null dp
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7 packedarray _da exch _dp _dl mod exch put
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{
_ed begin
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{
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dup 1 add index type /arraytype eq
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dup _pm rotate fc
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neg _pm rotate fc
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{
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dup _pm rotate sc
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{
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{
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cvx exec _sc
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aload pop findfont _sm
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{
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{
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grestore
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} for
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pop
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currentdict readonly pop end
setpacking
/annotatepage
{
} def
%%EndResource
%%EndProlog
%%BeginSetup
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_pattern_AI3 /initialize get exec
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225.7847 487.1719 l
226.1299 486.5845 l
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226.7114 485.5981 l
226.9473 485.1973 l
227.3589 484.5024 l
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227.77 483.8076 l
228.1816 483.1143 l
228.5615 482.48 l
228.5962 482.4199 l
229.0132 481.7266 l
229.4277 481.0322 l
229.4883 480.9346 l
229.8447 480.3369 l
230.2651 479.644 l
230.4116 479.3979 l
230.6821 478.9497 l
231.105 478.2563 l
231.3384 477.8726 l
231.5254 477.562 l
231.9482 476.8691 l
232.2622 476.353 l
232.3711 476.1738 l
S
232.3711 476.1738 m
232.7974 475.4795 l
233.1885 474.8403 l
233.2231 474.7861 l
233.6489 474.0918 l
234.0747 473.3984 l
234.1123 473.3369 l
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238.8198 465.7637 l
239.2544 465.0703 l
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240.123 463.6812 l
240.5576 462.9878 l
240.5923 462.9341 l
240.9922 462.2935 l
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244.2925 457.0039 l
244.4536 456.7432 l
244.8828 456.0474 l
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246.1431 453.998 l
246.1631 453.9648 l
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247.0059 452.5771 l
247.0693 452.4756 l
S
247.0693 452.4756 m
247.4263 451.8838 l
247.8433 451.1895 l
247.9932 450.937 l
248.2578 450.4946 l
248.6694 449.8022 l
248.9194 449.377 l
249.0781 449.1069 l
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250.2837 447.0244 l
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250.77 446.1655 l
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252.2056 443.5566 l
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252.6201 442.7754 l
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253.5469 440.98 l
253.644 440.7793 l
253.9902 440.0859 l
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257.1948 432.4512 l
257.2471 432.2959 l
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257.8462 430.3682 l
258.0352 429.6753 l
258.1738 429.1489 l
258.2139 428.981 l
258.3779 428.2876 l
258.5298 427.5933 l
258.666 426.8979 l
258.7891 426.2051 l
S
258.7891 426.2051 m
258.896 425.5107 l
258.9878 424.8174 l
259.0659 424.123 l
259.0972 423.7861 l
259.1289 423.4302 l
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259.2212 420.6528 l
259.207 419.96 l
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251.8315 397.751 l
S
251.8315 397.751 m
251.6963 397.502 l
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250.77 395.835 l
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250.2837 394.9756 l
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237.519 374.1543 m
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153.6265 313.0947 m
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s
U
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R2d_0.eps:
\message{Writing file R2d_0.eps}
\psdump{R2d_0.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R2d_0.eps)
%%CreationDate: (10/4/00) (7:06 PM)
%%BoundingBox: 153 312 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
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pop pop
} forall
end
end
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Adobe_Illustrator_AI3_vars 3 1 roll put
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{
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{
_ps
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{
/CRender {S} ddef
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closepath
S
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_doClip 1 eq
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{
S
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{
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closepath
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/*U
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/D
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/~
{
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ss
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_sc
jss
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ss
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ss
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jss
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{
pop
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{
0 1 _dp 1 sub _dl mod
{
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{
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{
null dp
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{
_ed begin
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{
0
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{
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[
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{
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{
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/A
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setpacking
/annotatepage
{
} def
%%EndResource
%%EndProlog
%%BeginSetup
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_pattern_AI3 /initialize get exec
Adobe_Illustrator_AI3 /initialize get exec
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%%PageTrailer
gsave annotatepage grestore showpage
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Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
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%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R2d_a.eps)
%%CreationDate: (10/4/00) (7:05 PM)
%%BoundingBox: 153 312 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
%%AI3_PaperRect:-14 830 581 -12
%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
_cf aload pop setcmykcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
{
_os setoverprint
_cs aload pop setcmykcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_if _gf 1 exch sub setcustomcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_is _gs 1 exch sub setcustomcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
} for
_dp 1 sub _dl mod 1 add packedarray
_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
definepattern pop
} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
{
null dp
} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
{
0
{
dup 1 add index type /arraytype eq
{
1 add
}
{
exit
} ifelse
} loop
array astore
} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
{
/_d exch _dd exch get def
0 2 _d length 2 sub
{
/_x exch def
/_c _d _x get _ ne def
/_r _d _x 1 add get cvlit def
_r _ ne
{
_urx _llx sub _ury _lly sub [1 0 0 1 0 0]
[
/save cvx
_llx neg _lly neg /translate cvx
_c
{
nc /begin cvx
} if
_r dup type /stringtype eq
{
cvx
}
{
{exec} /forall cvx
} ifelse
_c
{
/end cvx
} if
/restore cvx
] cvx
/_fn 12 _n length add string def
_y _fn cvs pop
/_y _y 1 add def
_fn 12 _n putinterval
_fn _c false dp
_d exch _x 1 add exch put
} if
} for
} for
null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
{
dup _pm rotate fc
1 -1 _pm scale fc
neg _pm rotate fc
}
{
pop
} ifelse
dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
/_pf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
patternfill
}
{
pop
fill
} ifelse
grestore
pop
} for
pop
} for
restore
newpath
} ddef
/_psf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
9 copy 6 npop patternashow
}
{
pop
6 copy 3 npop ashow
} ifelse
grestore
pop
} for
pop
} for
restore
%3 npop newpath
sw rmoveto
} ddef
/_pjsf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
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229.3213 406.7744 l
229.4219 406.0791 l
229.4883 405.6582 l
229.5283 405.3838 l
229.6406 404.6914 l
229.7588 403.9961 l
229.8794 403.3037 l
230.0059 402.6084 l
230.1382 401.9141 l
230.2793 401.2207 l
230.4116 400.5762 l
230.4233 400.5254 l
230.5728 399.834 l
230.7285 399.1377 l
230.8892 398.4434 l
231.0562 397.751 l
231.2319 397.0557 l
231.3384 396.6445 l
231.4102 396.3633 l
231.5972 395.668 l
231.79 394.9756 l
231.9888 394.2803 l
232.1958 393.5859 l
232.2622 393.3652 l
232.4087 392.8936 l
232.6274 392.1973 l
232.8545 391.5059 l
233.0908 390.8105 l
233.1885 390.5254 l
233.3325 390.1152 l
233.5796 389.4219 l
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234.1035 388.0352 l
234.1123 388.0068 l
234.377 387.3398 l
234.6587 386.6475 l
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235.0386 385.7412 l
235.249 385.2578 l
235.5566 384.5645 l
235.876 383.8701 l
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236.2041 383.1768 l
236.5435 382.4824 l
236.8887 381.791 l
236.8916 381.7871 l
237.2515 381.0947 l
237.6226 380.3994 l
S
237.6226 380.3994 m
237.8154 380.0479 l
238.0054 379.707 l
238.3994 379.0117 l
238.7393 378.4297 l
238.8052 378.3184 l
239.2256 377.625 l
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239.6655 376.9209 l
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240.5723 375.541 l
240.5923 375.5137 l
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244.2925 370.6885 l
244.2954 370.6836 l
244.9087 369.9912 l
245.2163 369.6475 l
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246.1431 368.668 l
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246.897 367.9082 l
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254.7412 361.6631 l
255.397 361.2529 l
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257.0659 360.2734 l
S
257.0659 360.2734 m
257.2471 360.1719 l
258.1738 359.6709 l
258.3462 359.5801 l
259.0972 359.1934 l
259.7251 358.8857 l
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291.8628 351.9453 m
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153.6265 313.0947 m
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153.6265 528.9053 l
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153.6265 313.0947 l
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U
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R2d_p.eps:
\message{Writing file R2d_p.eps}
\psdump{R2d_p.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R2d_p.eps)
%%CreationDate: (10/4/00) (7:06 PM)
%%BoundingBox: 153 313 442 530
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
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%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
_cf aload pop setcmykcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
{
_os setoverprint
_cs aload pop setcmykcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_if _gf 1 exch sub setcustomcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_is _gs 1 exch sub setcustomcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
} for
_dp 1 sub _dl mod 1 add packedarray
_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
definepattern pop
} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
{
null dp
} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
{
0
{
dup 1 add index type /arraytype eq
{
1 add
}
{
exit
} ifelse
} loop
array astore
} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
{
/_d exch _dd exch get def
0 2 _d length 2 sub
{
/_x exch def
/_c _d _x get _ ne def
/_r _d _x 1 add get cvlit def
_r _ ne
{
_urx _llx sub _ury _lly sub [1 0 0 1 0 0]
[
/save cvx
_llx neg _lly neg /translate cvx
_c
{
nc /begin cvx
} if
_r dup type /stringtype eq
{
cvx
}
{
{exec} /forall cvx
} ifelse
_c
{
/end cvx
} if
/restore cvx
] cvx
/_fn 12 _n length add string def
_y _fn cvs pop
/_y _y 1 add def
_fn 12 _n putinterval
_fn _c false dp
_d exch _x 1 add exch put
} if
} for
} for
null dp
_n _dd /_pd
end xput
} def
/fc
{
_fm dup concatmatrix pop
} def
/p
{
/_fm exch ddef
9 -2 roll _pm translate fc
7 -2 roll _pm scale fc
5 -1 roll _pm rotate fc
4 -2 roll exch 0 ne
{
dup _pm rotate fc
1 -1 _pm scale fc
neg _pm rotate fc
}
{
pop
} ifelse
dup _pm rotate fc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore fc
neg _pm rotate fc
_pd exch get /_fdd exch ddef
/_pf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
patternfill
}
{
pop
fill
} ifelse
grestore
pop
} for
pop
} for
restore
newpath
} ddef
/_psf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
9 copy 6 npop patternashow
}
{
pop
6 copy 3 npop ashow
} ifelse
grestore
pop
} for
pop
} for
restore
%3 npop newpath
sw rmoveto
} ddef
/_pjsf
{
save
/_doClip 0 ddef
0 1 _fdd length 1 sub
{
/_fd exch _fdd exch get ddef
_fd
0 2 _fd length 2 sub
{
gsave
2 copy get dup _ ne
{
cvx exec _fc
}
{
pop
} ifelse
2 copy 1 add get dup _ ne
{
aload pop findfont _fm
12 copy 6 npop patternawidthshow
}
{
pop 9 copy 3 npop awidthshow
} ifelse
grestore
pop
} for
pop
} for
restore
swj rmoveto
} ddef
/_lp /none ddef
} def
/sc
{
_sm dup concatmatrix pop
} def
/P
{
/_sm exch ddef
9 -2 roll _pm translate sc
7 -2 roll _pm scale sc
5 -1 roll _pm rotate sc
4 -2 roll exch 0 ne
{
dup _pm rotate sc
1 -1 _pm scale sc
neg _pm rotate sc
}
{
pop
} ifelse
dup _pm rotate sc
exch dup sin exch cos div 1 0 0 1 0 6 2 roll
_pm astore sc
neg _pm rotate sc
_pd exch get /_sdd exch ddef
/_ps
{
save
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Adobe_customcolor /initialize get exec
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311.8438 325.9316 l
311.6279 325.2266 l
311.3516 324.2998 l
311.0869 323.376 l
310.918 322.7773 l
310.8281 322.4492 l
310.5752 321.5254 l
310.3311 320.5996 l
310.0947 319.6729 l
309.9912 319.2637 l
309.8652 318.749 l
309.6396 317.8223 l
309.4238 316.8984 l
309.2109 315.9727 l
309.0674 315.3281 l
309.0039 315.0488 l
308.8057 314.1221 l
308.6104 313.1953 l
308.4199 312.2715 l
308.2334 311.3457 l
308.1406 310.8789 l
308.0518 310.4219 l
307.876 309.4951 l
307.7061 308.5684 l
307.5371 307.6445 l
307.375 306.7188 l
307.2168 305.7979 l
307.2139 305.7949 l
307.0615 304.8682 l
306.9092 303.9443 l
306.7598 303.0176 l
306.6162 302.0918 l
306.4746 301.168 l
306.3369 300.2412 l
306.291 299.9219 l
306.2041 299.3174 l
306.0723 298.3906 l
305.9434 297.4648 l
305.8193 296.541 l
305.6953 295.6143 l
305.5742 294.6904 l
305.4561 293.7637 l
305.3643 293.0303 l
305.3408 292.8398 l
305.2285 291.9141 l
S
305.2285 291.9141 m
305.1201 290.9873 l
305.0127 290.0635 l
304.9072 289.1367 l
304.8027 288.2129 l
304.7021 287.2871 l
304.6035 286.3604 l
304.5068 285.4365 l
304.4404 284.792 l
304.4121 284.5098 l
304.3203 283.5859 l
304.2275 282.6602 l
S
Q
0.25 w 4 M
153.6265 277.126 m
441.374 277.126 l
441.374 564.874 l
153.6265 564.874 l
153.6265 277.126 l
153.6265 277.126 l
s
U
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R3_a.eps:
\message{Writing file R3_a.eps}
\psdump{R3_a.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R3_a.eps)
%%CreationDate: (10/4/00) (7:08 PM)
%%BoundingBox: 153 277 442 565
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
%%AI3_PaperRect:-14 830 581 -12
%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
_cf aload pop setcmykcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
{
_os setoverprint
_cs aload pop setcmykcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_if _gf 1 exch sub setcustomcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_is _gs 1 exch sub setcustomcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
} for
_dp 1 sub _dl mod 1 add packedarray
_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
definepattern pop
} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
{
null dp
} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
{
0
{
dup 1 add index type /arraytype eq
{
1 add
}
{
exit
} ifelse
} loop
array astore
} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
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275.7549 389.4277 m
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281.5527 392.7783 m
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292.1382 398.8867 m
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303.5137 405.4561 m
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281.0322 381.6738 m
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159.1597 514.6592 m
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344.2305 376.2266 l
343.7988 376.1201 l
343.3037 375.9961 l
342.3799 375.752 l
341.4531 375.4932 l
340.5303 375.2168 l
340.4551 375.1963 l
339.6025 374.9287 l
338.6787 374.6211 l
337.7529 374.3018 l
337.667 374.2695 l
336.8262 373.9619 l
335.9033 373.6084 l
335.2383 373.3438 l
334.9756 373.2363 l
334.0527 372.8516 l
333.126 372.4453 l
333.0664 372.4199 l
332.1992 372.0225 l
331.2764 371.582 l
331.0938 371.4932 l
330.3486 371.1221 l
329.4258 370.6445 l
S
329.4258 370.6445 m
329.2793 370.5693 l
328.499 370.1494 l
327.5947 369.6426 l
327.5752 369.6318 l
326.6494 369.0938 l
326.0205 368.7158 l
325.7217 368.5352 l
324.7988 367.9541 l
324.5449 367.793 l
323.8721 367.3525 l
323.1533 366.8662 l
322.9482 366.7246 l
322.0215 366.0752 l
321.835 365.9424 l
321.0947 365.4014 l
320.5859 365.0156 l
320.1719 364.6992 l
319.3945 364.0918 l
319.2451 363.9717 l
318.3213 363.2148 l
318.2607 363.166 l
317.3945 362.4287 l
317.1787 362.2393 l
316.4678 361.6123 l
316.1426 361.3154 l
315.5449 360.7598 l
315.1533 360.3887 l
314.6182 359.877 l
314.2012 359.4648 l
313.6943 358.9531 l
313.2891 358.5391 l
312.7676 357.9922 l
312.4141 357.6123 l
311.8438 356.9902 l
311.5713 356.6885 l
310.918 355.9434 l
310.7617 355.7617 l
309.9912 354.8496 l
309.9824 354.8379 l
309.2314 353.9121 l
309.0674 353.707 l
308.5059 352.9883 l
308.1406 352.5078 l
307.8066 352.0615 l
307.2168 351.25 l
307.1367 351.1348 l
306.4863 350.2109 l
306.291 349.9268 l
305.8594 349.2852 l
305.3643 348.5342 l
S
305.3643 348.5332 m
305.2549 348.3613 l
304.668 347.4346 l
304.4404 347.0635 l
304.1035 346.5078 l
303.5566 345.584 l
303.5137 345.5127 l
303.0283 344.6582 l
302.5898 343.8662 l
302.5146 343.7344 l
302.0234 342.8076 l
301.6641 342.1201 l
301.543 341.8838 l
301.0801 340.957 l
300.7402 340.2549 l
300.6309 340.0313 l
300.1963 339.1074 l
299.8125 338.2666 l
299.7764 338.1807 l
299.3672 337.2568 l
298.9697 336.3301 l
298.8867 336.1318 l
298.5879 335.4043 l
298.2158 334.4805 l
297.9629 333.8359 l
297.854 333.5537 l
297.5029 332.6299 l
297.1631 331.7031 l
297.0371 331.3496 l
296.835 330.7773 l
296.5132 329.8535 l
296.2021 328.9268 l
296.1128 328.6504 l
295.8999 328.0029 l
295.6069 327.0762 l
295.3218 326.1523 l
295.187 325.7041 l
295.0459 325.2266 l
294.7749 324.2998 l
294.5132 323.376 l
294.2598 322.4609 l
294.2568 322.4492 l
294.0098 321.5254 l
293.7681 320.5996 l
293.5352 319.6729 l
293.3359 318.873 l
293.3052 318.749 l
293.083 317.8223 l
292.8672 316.8984 l
292.6538 315.9727 l
292.4502 315.0488 l
S
292.4502 315.0488 m
292.4102 314.8701 l
292.249 314.1221 l
292.0527 313.1953 l
291.8628 312.2715 l
291.6792 311.3457 l
291.498 310.4219 l
291.4858 310.3584 l
291.3218 309.4951 l
291.1489 308.5684 l
290.9829 307.6445 l
290.8188 306.7188 l
290.6572 305.7949 l
290.5601 305.2158 l
290.502 304.8682 l
290.3491 303.9443 l
290.2002 303.0176 l
290.0562 302.0918 l
289.9121 301.168 l
289.7739 300.2412 l
289.6392 299.3174 l
289.6357 299.2803 l
289.5059 298.3906 l
289.377 297.4648 l
289.25 296.541 l
289.127 295.6143 l
289.0059 294.6904 l
288.8882 293.7637 l
288.7729 292.8398 l
288.709 292.3164 l
288.6602 291.9141 l
288.5479 290.9873 l
288.4419 290.0635 l
288.335 289.1367 l
288.2319 288.2129 l
288.1309 287.2871 l
288.0298 286.3604 l
287.9321 285.4365 l
287.8369 284.5098 l
287.7832 283.9775 l
287.7451 283.5859 l
287.6528 282.6602 l
S
Q
0.25 w 4 M
153.6265 277.126 m
441.374 277.126 l
441.374 564.874 l
153.6265 564.874 l
153.6265 277.126 l
153.6265 277.126 l
s
U
U
0 A
0 R
0 G
8 i
0 J 0 j 1 w 10 M []0 d
%AI3_Note:
0 D
295.9082 407.9248 m
293.1152 407.3379 l
290.3203 407.6924 l
289.2559 408.334 l
287.5254 410.7822 l
287.377 411.1299 l
286.584 413.9238 l
286.1914 416.7188 l
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286.1914 425.1035 l
286.584 427.8984 l
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290.3203 434.1299 l
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297.5313 408.334 l
295.9082 407.9248 l
S
0 i
297.5 421.1665 m
297.5 420.8901 297.2764 420.6665 297 420.6665 c
296.7236 420.6665 296.5 420.8901 296.5 421.1665 c
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R3_p.eps:
\message{Writing file R3_p.eps}
\psdump{R3_p.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R3_p.eps)
%%CreationDate: (10/4/00) (7:09 PM)
%%BoundingBox: 153 277 442 565
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
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354.4082 498.585 l
353.4844 498.7319 l
352.5576 498.9048 l
351.6338 499.1089 l
351.2861 499.1919 l
350.707 499.3418 l
349.7842 499.6099 l
348.8574 499.9092 l
348.2734 500.1162 l
347.9307 500.248 l
347.0068 500.6221 l
346.0801 501.043 l
345.1572 501.5059 l
344.3145 501.9688 l
344.2305 502.0181 l
343.3037 502.5791 l
342.8232 502.8931 l
342.3799 503.1978 l
341.5254 503.8188 l
341.4531 503.874 l
340.5303 504.6162 l
340.377 504.7432 l
339.6025 505.4277 l
339.3408 505.6699 l
338.6787 506.314 l
338.4033 506.5962 l
337.7529 507.2842 l
337.54 507.52 l
336.8262 508.3457 l
336.7461 508.4458 l
S
336.7461 508.4458 m
336.0059 509.3701 l
335.9033 509.5078 l
335.3193 510.2969 l
334.9756 510.7769 l
334.6709 511.2231 l
334.0674 512.147 l
334.0527 512.1699 l
333.4941 513.0732 l
333.126 513.7012 l
332.9561 513.9971 l
332.4443 514.9238 l
332.1992 515.3809 l
331.958 515.8467 l
331.4971 516.7739 l
331.2764 517.2339 l
331.0566 517.7002 l
330.6367 518.624 l
330.3486 519.2832 l
330.2373 519.5508 l
329.8506 520.4741 l
329.4863 521.4009 l
329.4258 521.5562 l
329.1318 522.3271 l
328.792 523.251 l
328.499 524.083 l
328.4668 524.1768 l
328.1543 525.1011 l
327.8516 526.0278 l
327.5752 526.9111 l
327.5605 526.9512 l
327.2822 527.8779 l
327.0078 528.8037 l
326.749 529.728 l
326.6494 530.0908 l
326.4961 530.6548 l
326.252 531.5781 l
326.0156 532.5049 l
325.7861 533.4312 l
325.7217 533.688 l
325.5645 534.355 l
325.3477 535.2822 l
325.1406 536.2051 l
324.9365 537.1318 l
324.7988 537.7881 l
324.7412 538.0562 l
324.5508 538.9819 l
324.3672 539.9092 l
324.1855 540.832 l
324.0098 541.7588 l
323.8721 542.5068 l
S
323.8721 542.5068 m
323.8398 542.6821 l
323.6729 543.6089 l
323.5117 544.5361 l
323.3574 545.459 l
323.2041 546.3857 l
323.0547 547.3091 l
322.9482 547.9971 l
322.9111 548.2358 l
322.7695 549.1602 l
322.6318 550.0859 l
322.4971 551.0132 l
322.3643 551.936 l
322.2383 552.8628 l
322.1143 553.7871 l
322.0215 554.4741 l
321.9902 554.7129 l
321.8721 555.6401 l
321.7539 556.563 l
321.6416 557.4897 l
321.5303 558.4141 l
321.4229 559.3398 l
S
435.8398 316.6777 m
435.4033 316.8984 l
434.9141 317.1436 l
433.9902 317.6064 l
433.5576 317.8223 l
433.0625 318.0703 l
432.1396 318.5332 l
431.7021 318.749 l
431.2129 318.9912 l
430.2871 319.4512 l
429.8379 319.6729 l
429.3633 319.9082 l
428.4355 320.3633 l
427.959 320.5996 l
427.5127 320.8184 l
426.5859 321.2695 l
426.0654 321.5254 l
425.6602 321.7217 l
424.7363 322.1699 l
424.1611 322.4492 l
423.8086 322.6191 l
422.8857 323.0654 l
422.2383 323.376 l
421.959 323.5088 l
421.0361 323.9512 l
420.3018 324.2998 l
420.1094 324.3916 l
419.1816 324.8291 l
418.3447 325.2266 l
418.2588 325.2666 l
417.332 325.7012 l
416.4092 326.1328 l
416.3682 326.1523 l
415.4824 326.5645 l
414.5557 326.9902 l
414.3711 327.0762 l
413.6318 327.416 l
412.7051 327.8389 l
412.3486 328.0029 l
411.7822 328.2617 l
410.8555 328.6787 l
410.3027 328.9268 l
409.9307 329.0938 l
409.0049 329.5078 l
408.2246 329.8535 l
408.0781 329.916 l
407.1553 330.3252 l
406.2275 330.7305 l
406.1162 330.7773 l
405.3037 331.1309 l
S
405.3037 331.1309 m
404.3779 331.5313 l
403.9717 331.7031 l
403.4512 331.9248 l
402.5283 332.3164 l
401.7852 332.6299 l
401.6006 332.7051 l
400.6768 333.0908 l
399.751 333.4727 l
399.5498 333.5537 l
398.8271 333.8496 l
397.9014 334.2236 l
397.2617 334.4805 l
396.9736 334.5957 l
396.0508 334.9609 l
395.124 335.3203 l
394.9111 335.4043 l
394.2002 335.6797 l
393.2744 336.0313 l
392.4824 336.3301 l
392.3467 336.3789 l
391.4238 336.7246 l
390.4971 337.0645 l
389.9648 337.2568 l
389.5732 337.3955 l
388.6465 337.7227 l
387.7227 338.0479 l
387.332 338.1807 l
386.7969 338.3652 l
385.8701 338.6758 l
384.9463 338.9805 l
384.5576 339.1074 l
384.0195 339.2793 l
383.0957 339.5703 l
382.1699 339.8584 l
381.5908 340.0313 l
381.2432 340.1348 l
380.3193 340.4082 l
379.3926 340.6699 l
378.4688 340.9258 l
378.3535 340.957 l
377.543 341.1729 l
376.6162 341.4121 l
375.6924 341.6455 l
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374.6943 341.8838 l
373.8418 342.0771 l
372.916 342.2783 l
371.9922 342.4707 l
371.0654 342.6523 l
370.2168 342.8076 l
S
370.2168 342.8076 m
370.1387 342.8223 l
369.2148 342.9805 l
368.2891 343.127 l
367.3652 343.2598 l
366.4375 343.3799 l
365.5117 343.4863 l
364.5879 343.5791 l
363.6621 343.6533 l
362.7383 343.7168 l
362.4453 343.7344 l
361.8105 343.7598 l
360.8877 343.7891 l
359.9609 343.7979 l
359.0352 343.7861 l
358.1113 343.7568 l
357.6016 343.7344 l
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352.5576 343.0957 l
351.6338 342.8906 l
351.2861 342.8076 l
350.707 342.6582 l
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348.8574 342.0908 l
348.2734 341.8838 l
347.9307 341.752 l
347.0068 341.3779 l
346.0801 340.957 l
345.1572 340.4941 l
344.3145 340.0313 l
344.2305 339.9814 l
343.3037 339.4209 l
342.8232 339.1074 l
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340.5303 337.3838 l
340.377 337.2568 l
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338.4033 335.4043 l
337.7529 334.7158 l
337.54 334.4805 l
336.8262 333.6543 l
336.7461 333.5537 l
S
336.7461 333.5537 m
336.0059 332.6299 l
335.9033 332.4922 l
335.3193 331.7031 l
334.9756 331.2227 l
334.6709 330.7773 l
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334.0527 329.8301 l
333.4941 328.9268 l
333.126 328.2998 l
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331.958 326.1523 l
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331.0566 324.2998 l
330.6367 323.376 l
330.3486 322.7168 l
330.2373 322.4492 l
329.8506 321.5254 l
329.4863 320.5996 l
329.4258 320.4443 l
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328.792 318.749 l
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328.1543 316.8984 l
327.8516 315.9727 l
327.5752 315.0889 l
327.5605 315.0488 l
327.2822 314.1221 l
327.0078 313.1953 l
326.749 312.2715 l
326.6494 311.9092 l
326.4961 311.3457 l
326.252 310.4219 l
326.0156 309.4951 l
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324.7412 303.9443 l
324.5508 303.0176 l
324.3672 302.0918 l
324.1855 301.168 l
324.0098 300.2412 l
323.8721 299.4932 l
S
323.8721 299.4932 m
323.8398 299.3174 l
323.6729 298.3906 l
323.5117 297.4648 l
323.3574 296.541 l
323.2041 295.6143 l
323.0547 294.6904 l
322.9482 294.0029 l
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322.6318 291.9141 l
322.4971 290.9873 l
322.3643 290.0635 l
322.2383 289.1367 l
322.1143 288.2129 l
322.0215 287.5254 l
321.9902 287.2871 l
321.8721 286.3604 l
321.7539 285.4365 l
321.6416 284.5098 l
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321.4229 282.6602 l
S
Q
0.25 w 4 M
153.6265 277.126 m
441.374 277.126 l
441.374 564.874 l
153.6265 564.874 l
153.6265 277.126 l
153.6265 277.126 l
s
U
U
0 A
0 R
0 G
0 i
0 J 0 j 2 w 10 M []0 d
%AI3_Note:
0 D
297.5132 420.7744 m
297.5132 420.498 297.2896 420.2744 297.0132 420.2744 c
296.7368 420.2744 296.5132 420.498 296.5132 420.7744 c
296.5132 421.0508 296.7368 421.2744 297.0132 421.2744 c
297.2896 421.2744 297.5132 421.0508 297.5132 420.7744 c
s
8 i
1 w
299.3301 407.8359 m
302.123 407.248 l
304.918 407.6035 l
305.9824 408.2441 l
307.7129 410.6934 l
307.8613 411.041 l
308.6543 413.834 l
309.0469 416.6289 l
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285.355 425.564 l
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284.917 416.6289 l
285.355 416.0801 l
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297.708 408.2441 l
299.3301 407.8359 l
S
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R4_0.eps:
\message{Writing file R4_0.eps}
\psdump{R4_0.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R4_0.eps)
%%CreationDate: (10/5/00) (3:47 PM)
%%BoundingBox: 153 277 442 565
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
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%%PageOrigin:14 13
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%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
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%%EndResource
%%EndProlog
%%BeginSetup
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_pattern_AI3 /initialize get exec
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227.7329 313.1953 l
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226.668 310.4219 l
226.3027 309.4951 l
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223.6006 303.0176 l
223.1978 302.0918 l
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216.5308 287.7646 l
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215.3916 285.4365 m
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U
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%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R4_a.eps:
\message{Writing file R4_a.eps}
\psdump{R4_a.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R4_a.eps)
%%CreationDate: (10/5/00) (4:02 PM)
%%BoundingBox: 153 277 442 565
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
%%AI3_PaperRect:-14 830 581 -12
%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
3 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 4 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath currentpoint
6 index 6 index 6 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
5 npop
} def
/patternawidthshow
{
6 index type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get 7 1 roll
} if
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
9 index 9 index 9 index
Adobe_pattern_AI3 /patternfill get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
8 npop
} def
/patternashowstroke
{
4 index type /dicttype eq
{
patternmatrix /patternmatrix get 5 1 roll
} if
4 1 roll
{
2 npop (0) exch
2 copy 0 exch put pop
gsave
false charpath
currentpoint
4 index setmatrix
7 index 7 index 7 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/patternawidthshowstroke
{
7 index type /dicttype eq
{
patternmatrix /patternmatrix get 8 1 roll
} if
7 1 roll
{
2 npop (0) exch
2 copy 0 exch put
gsave
_sp eq {5 index 5 index rmoveto} if
false charpath currentpoint
7 index setmatrix
10 index 10 index 10 index
Adobe_pattern_AI3 /patternstroke get exec
grestore
newpath moveto
2 copy rmoveto
} exch cshow
9 npop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI3 71 dict dup begin put
/initialize
{
userdict /Adobe_Illustrator_AI3_vars 67 dict dup begin put
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_wv 0 def
/Tx {} def
/Tj {} def
/CRender {} def
/_AI3_savepage {} def
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3 dup /nc get begin
{
dup xcheck
{
bind
} if
pop pop
} forall
end
end
end
Adobe_Illustrator_AI3 begin
Adobe_Illustrator_AI3_vars begin
newpath
} def
/terminate
{
end
end
} def
/_
null def
/ddef
{
Adobe_Illustrator_AI3_vars 3 1 roll put
} def
/xput
{
dup load dup length exch maxlength eq
{
dup dup load dup
length 2 mul dict copy def
} if
load begin def end
} def
/npop
{
{
pop
} repeat
} def
/sw
{
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
} def
/swj
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index mul add
4 1 roll 3 1 roll mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put pop
gsave
false charpath currentpoint
4 index setmatrix
stroke
grestore
moveto
2 copy rmoveto
} exch cshow
3 npop
} def
/jss
{
4 1 roll
{
2 npop
(0) exch 2 copy 0 exch put
gsave
_sp eq
{
exch 6 index 6 index 6 index 5 -1 roll widthshow
currentpoint
}
{
false charpath currentpoint
4 index setmatrix stroke
}ifelse
grestore
moveto
2 copy rmoveto
} exch cshow
6 npop
} def
/sp
{
{
2 npop (0) exch
2 copy 0 exch put pop
false charpath
2 copy rmoveto
} exch cshow
2 npop
} def
/jsp
{
{
2 npop
(0) exch 2 copy 0 exch put
_sp eq
{
exch 5 index 5 index 5 index 5 -1 roll widthshow
}
{
false charpath
}ifelse
2 copy rmoveto
} exch cshow
5 npop
} def
/pl
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
{
pop true setstrokeadjust
/c
{
curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll curveto
} def
/V
/v load def
/y
{
2 copy curveto
} def
/Y
/y load def
/l
{
lineto
} def
/L
/l load def
/m
{
moveto
} def
}
{
/c
{
pl curveto
} def
/C
/c load def
/v
{
currentpoint 6 2 roll pl curveto
} def
/V
/v load def
/y
{
pl 2 copy curveto
} def
/Y
/y load def
/l
{
pl lineto
} def
/L
/l load def
/m
{
pl moveto
} def
} ifelse
/d
{
setdash
} def
/cf {} def
/i
{
dup 0 eq
{
pop cf
} if
setflat
} def
/j
{
setlinejoin
} def
/J
{
setlinecap
} def
/M
{
setmiterlimit
} def
/w
{
setlinewidth
} def
/H
{} def
/h
{
closepath
} def
/N
{
_pola 0 eq
{
_doClip 1 eq {clip /_doClip 0 ddef} if
newpath
}
{
/CRender {N} ddef
}ifelse
} def
/n
{N} def
/F
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _pf grestore clip newpath /_lp /none ddef _fc
/_doClip 0 ddef
}
{
_pf
}ifelse
}
{
/CRender {F} ddef
}ifelse
} def
/f
{
closepath
F
} def
/S
{
_pola 0 eq
{
_doClip 1 eq
{
gsave _ps grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
_ps
}ifelse
}
{
/CRender {S} ddef
}ifelse
} def
/s
{
closepath
S
} def
/B
{
_pola 0 eq
{
_doClip 1 eq
gsave F grestore
{
gsave S grestore clip newpath /_lp /none ddef _sc
/_doClip 0 ddef
}
{
S
}ifelse
}
{
/CRender {B} ddef
}ifelse
} def
/b
{
closepath
B
} def
/W
{
/_doClip 1 ddef
} def
/*
{
count 0 ne
{
dup type (stringtype) eq {pop} if
} if
_pola 0 eq {newpath} if
} def
/u
{} def
/U
{} def
/q
{
_pola 0 eq {gsave} if
} def
/Q
{
_pola 0 eq {grestore} if
} def
/*u
{
_pola 1 add /_pola exch ddef
} def
/*U
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D
{pop} def
/*w
{} def
/*W
{} def
/`
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
/setstrokeadjust where {pop false setstrokeadjust} if
newpath
0 setgray
false setoverprint
} def
/~
{
end
_i restore
} def
/@
{} def
/&
{} def
/O
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g
{
/_gf exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_gf setgray
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_gs setgray
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k
{
_cf astore pop
/_fc
{
_lp /fill ne
{
_of setoverprint
_cf aload pop setcmykcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K
{
_cs astore pop
/_sc
{
_lp /stroke ne
{
_os setoverprint
_cs aload pop setcmykcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
{
_of setoverprint
_if _gf 1 exch sub setcustomcolor
/_lp /fill ddef
} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
{
_os setoverprint
_is _gs 1 exch sub setcustomcolor
/_lp /stroke ddef
} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/dp
{
dup null eq
{
pop
_dp 0 ne
{
0 1 _dp 1 sub _dl mod
{
_da exch get 3 get
} for
_dp 1 sub _dl mod 1 add packedarray
_da 0 get aload pop 8 -1 roll 5 -1 roll pop 4 1 roll
definepattern pop
} if
}
{
_dp 0 ne _dp _dl mod 0 eq and
{
null dp
} if
7 packedarray _da exch _dp _dl mod exch put
_dp _dl mod _da 0 get 4 get 2 packedarray
/_dp _dp 1 add def
} ifelse
} def
/E
{
_ed begin
dup 0 get type /arraytype ne
{
0
{
dup 1 add index type /arraytype eq
{
1 add
}
{
exit
} ifelse
} loop
array astore
} if
/_dd exch def
/_ury exch def
/_urx exch def
/_lly exch def
/_llx exch def
/_n exch def
/_y 0 def
/_dl 4 def
/_dp 0 def
/_da _dl array def
0 1 _dd length 1 sub
{
/_d exch _dd exch get def
0 2 _d length 2 sub
{
/_x exch def
/_c _d _x get _ ne def
/_r _d _x 1 add get cvlit def
_r _ ne
{
_urx _llx sub _ury _lly sub [1 0 0 1 0 0]
[
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344.6533 534.355 m
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319.2451 513.4189 m
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282.5488 510.2969 m
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255.397 529.1411 m
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234.1123 553.8472 m
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365.0049 282.6602 m
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319.2451 328.5811 m
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282.5488 331.7031 m
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255.397 312.8594 m
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234.1123 288.1533 m
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294.2598 406.4307 m
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308.7217 429.791 m
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282.3931 421.4629 m
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2 w
297.0371 386.0361 m
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319.2451 408.6504 m
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425.6602 349.5576 l
424.7363 350.0273 l
424.3682 350.2109 l
423.8086 350.4961 l
422.8857 350.959 l
422.5264 351.1348 l
421.959 351.4199 l
421.0361 351.8799 l
420.6592 352.0615 l
420.1094 352.335 l
419.1816 352.7871 l
418.7646 352.9883 l
418.2588 353.2354 l
417.332 353.6816 l
416.8428 353.9121 l
416.4092 354.1221 l
415.4824 354.5625 l
414.8857 354.8379 l
414.5557 354.9941 l
413.6318 355.4258 l
412.8945 355.7617 l
412.7051 355.8516 l
411.7822 356.2744 l
410.8584 356.6885 l
410.8555 356.6885 l
409.9307 357.1025 l
409.0049 357.5088 l
408.7598 357.6123 l
408.0781 357.9111 l
407.1553 358.3086 l
406.6045 358.5391 l
406.2275 358.7002 l
405.3037 359.085 l
S
405.3037 359.085 m
404.3809 359.4648 l
404.3779 359.4648 l
403.4512 359.8389 l
402.5283 360.2051 l
402.0498 360.3887 l
401.6006 360.5674 l
400.6768 360.9209 l
399.751 361.2637 l
399.6133 361.3154 l
398.8271 361.6035 l
397.9014 361.9336 l
397.0166 362.2393 l
396.9736 362.2568 l
396.0508 362.5703 l
395.124 362.875 l
394.209 363.166 l
394.2002 363.1689 l
393.2744 363.4531 l
392.3467 363.7295 l
391.4238 363.9941 l
391.0645 364.0918 l
390.4971 364.248 l
389.5732 364.4893 l
388.6465 364.7197 l
387.7227 364.9385 l
387.3613 365.0156 l
386.7969 365.1426 l
385.8701 365.335 l
384.9463 365.5107 l
384.0195 365.6719 l
383.0957 365.8184 l
382.2236 365.9424 l
382.1699 365.9482 l
381.2432 366.0635 l
380.3193 366.1582 l
379.3926 366.2363 l
378.4688 366.2969 l
377.543 366.334 l
376.6162 366.3486 l
375.6924 366.3428 l
374.7656 366.3135 l
373.8418 366.2588 l
372.916 366.1787 l
371.9922 366.0723 l
371.1094 365.9424 l
371.0654 365.9336 l
370.1387 365.7666 l
369.2148 365.5684 l
368.2891 365.332 l
367.3652 365.0586 l
S
367.3652 365.0586 m
367.2295 365.0156 l
366.4375 364.748 l
365.5117 364.3916 l
364.8184 364.0918 l
364.5879 363.9883 l
363.6621 363.5313 l
362.9912 363.166 l
362.7383 363.0186 l
361.8105 362.4434 l
361.5088 362.2393 l
360.8877 361.7988 l
360.2607 361.3154 l
359.9609 361.0713 l
359.1865 360.3887 l
359.0352 360.248 l
358.252 359.4648 l
358.1113 359.3125 l
357.4287 358.5391 l
357.1846 358.2393 l
356.7012 357.6123 l
356.2607 356.9902 l
356.0566 356.6885 l
355.4814 355.7617 l
355.334 355.5088 l
354.9688 354.8379 l
354.5107 353.9121 l
354.4082 353.6816 l
354.1094 352.9883 l
353.752 352.0615 l
353.4844 351.2705 l
353.4414 351.1348 l
353.168 350.2109 l
352.9316 349.2852 l
352.7334 348.3613 l
352.5664 347.4346 l
352.5576 347.3916 l
352.4277 346.5078 l
352.3223 345.584 l
352.2412 344.6582 l
352.1855 343.7344 l
352.1582 342.8076 l
352.1523 341.8838 l
352.166 340.957 l
352.2041 340.0313 l
352.2637 339.1074 l
352.3418 338.1807 l
352.4365 337.2568 l
352.5518 336.3301 l
352.5576 336.2754 l
352.6807 335.4043 l
S
352.6807 335.4033 m
352.8281 334.4805 l
352.9893 333.5537 l
353.165 332.6299 l
353.3574 331.7031 l
353.4844 331.1396 l
353.5615 330.7773 l
353.7803 329.8535 l
354.0107 328.9268 l
354.252 328.0029 l
354.4082 327.4365 l
354.5059 327.0762 l
354.7695 326.1523 l
355.0469 325.2266 l
355.3311 324.2998 l
355.334 324.291 l
355.625 323.376 l
355.9297 322.4492 l
356.2441 321.5254 l
356.2607 321.4824 l
356.5664 320.5996 l
356.8965 319.6729 l
357.1846 318.8867 l
357.2363 318.749 l
357.5791 317.8223 l
357.9326 316.8984 l
358.1113 316.4502 l
358.2949 315.9727 l
358.6611 315.0488 l
359.0352 314.1221 l
359.0352 314.1191 l
359.415 313.1953 l
359.7998 312.2715 l
359.9609 311.8945 l
360.1914 311.3457 l
360.5889 310.4219 l
360.8877 309.7393 l
360.9912 309.4951 l
361.3965 308.5684 l
361.8105 307.6445 l
361.8105 307.6416 l
362.2256 306.7188 l
362.6494 305.7949 l
362.7383 305.6045 l
363.0752 304.8682 l
363.5059 303.9443 l
363.6621 303.6133 l
363.9375 303.0176 l
364.3779 302.0918 l
364.5879 301.6572 l
364.8184 301.168 l
S
364.8184 301.168 m
365.2637 300.2412 l
365.5117 299.7344 l
365.7129 299.3174 l
366.165 298.3906 l
366.4375 297.8408 l
366.6201 297.4648 l
367.0801 296.541 l
367.3652 295.9736 l
367.541 295.6143 l
368.0039 294.6904 l
368.2891 294.1318 l
368.4727 293.7637 l
368.9424 292.8398 l
369.2148 292.3105 l
369.4141 291.9141 l
369.8887 290.9873 l
370.1387 290.5068 l
370.3662 290.0635 l
370.8438 289.1367 l
371.0654 288.7197 l
371.3271 288.2129 l
371.8105 287.2871 l
371.9922 286.9473 l
372.2969 286.3604 l
372.7832 285.4365 l
372.916 285.1895 l
373.2715 284.5098 l
373.7637 283.5859 l
373.8418 283.4453 l
374.2568 282.6602 l
S
159.1597 344.2432 m
159.9453 344.6582 l
160.0864 344.7354 l
161.0103 345.2275 l
161.689 345.584 l
161.9365 345.7168 l
162.8604 346.2031 l
163.4473 346.5078 l
163.7866 346.6895 l
164.7134 347.1729 l
165.2197 347.4346 l
165.6372 347.6563 l
166.5635 348.1338 l
167.0068 348.3613 l
167.4873 348.6113 l
168.4136 349.0859 l
168.811 349.2852 l
169.3403 349.5576 l
170.2642 350.0273 l
170.6323 350.2109 l
171.1904 350.4961 l
172.1143 350.959 l
172.4741 351.1348 l
173.0405 351.4199 l
173.9644 351.8799 l
174.3413 352.0615 l
174.8911 352.335 l
175.8174 352.7871 l
176.2349 352.9883 l
176.7412 353.2354 l
177.6675 353.6816 l
178.1567 353.9121 l
178.5913 354.1221 l
179.5181 354.5625 l
180.1138 354.8379 l
180.4443 354.9941 l
181.3682 355.4258 l
182.105 355.7617 l
182.2949 355.8516 l
183.2183 356.2744 l
184.1421 356.6885 l
184.145 356.6885 l
185.0684 357.1025 l
185.9951 357.5088 l
186.2397 357.6123 l
186.9219 357.9111 l
187.8452 358.3086 l
188.395 358.5391 l
188.772 358.7002 l
189.6953 359.085 l
S
189.6953 359.085 m
190.6191 359.4648 l
190.6221 359.4648 l
191.5488 359.8389 l
192.4722 360.2051 l
192.9502 360.3887 l
193.3989 360.5674 l
194.3223 360.9209 l
195.249 361.2637 l
195.3872 361.3154 l
196.1729 361.6035 l
197.0991 361.9336 l
197.9829 362.2393 l
198.0259 362.2568 l
198.9497 362.5703 l
199.876 362.875 l
200.791 363.166 l
200.7998 363.1689 l
201.7261 363.4531 l
202.6528 363.7295 l
203.5767 363.9941 l
203.936 364.0918 l
204.5029 364.248 l
205.4268 364.4893 l
206.353 364.7197 l
207.2769 364.9385 l
207.6396 365.0156 l
208.2036 365.1426 l
209.1299 365.335 l
210.0537 365.5107 l
210.98 365.6719 l
211.9038 365.8184 l
212.7759 365.9424 l
212.8306 365.9482 l
213.7568 366.0635 l
214.6807 366.1582 l
215.6074 366.2363 l
216.5308 366.2969 l
217.4575 366.334 l
218.3838 366.3486 l
219.3076 366.3428 l
220.2339 366.3135 l
221.1577 366.2588 l
222.0845 366.1787 l
223.0078 366.0723 l
223.8916 365.9424 l
223.9346 365.9336 l
224.8613 365.7666 l
225.7847 365.5684 l
226.7114 365.332 l
227.6348 365.0586 l
S
227.6348 365.0586 m
227.77 365.0156 l
228.5615 364.748 l
229.4883 364.3916 l
230.1816 364.0918 l
230.4116 363.9883 l
231.3384 363.5313 l
232.0088 363.166 l
232.2622 363.0186 l
233.1885 362.4434 l
233.4907 362.2393 l
234.1123 361.7988 l
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235.0386 361.0713 l
235.813 360.3887 l
235.9653 360.248 l
236.748 359.4648 l
236.8887 359.3125 l
237.5708 358.5391 l
237.8154 358.2393 l
238.2988 357.6123 l
238.7393 356.9902 l
238.9434 356.6885 l
239.519 355.7617 l
239.6655 355.5088 l
240.0313 354.8379 l
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240.8916 352.9883 l
241.248 352.0615 l
241.5161 351.2705 l
241.5591 351.1348 l
241.8325 350.2109 l
242.0684 349.2852 l
242.2671 348.3613 l
242.4336 347.4346 l
242.4424 347.3916 l
242.5718 346.5078 l
242.6782 345.584 l
242.7588 344.6582 l
242.8135 343.7344 l
242.8423 342.8076 l
242.8481 341.8838 l
242.834 340.957 l
242.7964 340.0313 l
242.7358 339.1074 l
242.6582 338.1807 l
242.5635 337.2568 l
242.4482 336.3301 l
242.4424 336.2754 l
242.3188 335.4043 l
S
242.3188 335.4033 m
242.1719 334.4805 l
242.0107 333.5537 l
241.8354 332.6299 l
241.6426 331.7031 l
241.5161 331.1396 l
241.438 330.7773 l
241.2197 329.8535 l
240.9893 328.9268 l
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240.5923 327.4365 l
240.4941 327.0762 l
240.2295 326.1523 l
239.9536 325.2266 l
239.6685 324.2998 l
239.6655 324.291 l
239.375 323.376 l
239.0703 322.4492 l
238.7563 321.5254 l
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238.4341 320.5996 l
238.103 319.6729 l
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236.7046 315.9727 l
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230.6216 302.0918 l
230.4116 301.6572 l
230.1816 301.168 l
S
230.1816 301.168 m
229.7354 300.2412 l
229.4883 299.7344 l
229.2866 299.3174 l
228.835 298.3906 l
228.5615 297.8408 l
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S
U
U
U
0 i
2 w
298 420.5 m
298 420.2236 297.7764 420 297.5 420 c
297.2236 420 297 420.2236 297 420.5 c
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297.7764 421 298 420.7764 298 420.5 c
s
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI3 /terminate get exec
Adobe_pattern_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
EndOfTheIncludedPostscriptMagicCookie


% Here is the PostScript for R4_p.eps:
\message{Writing file R4_p.eps}
\psdump{R4_p.eps}

%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%AI8_CreatorVersion: 8
%%For: (x y) (FU-Berlin)
%%Title: (R4_p.eps)
%%CreationDate: (10/5/00) (4:07 PM)
%%BoundingBox: 153 277 442 565
%%DocumentProcessColors: Black
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_pattern_AI3 1.0 0
%%+ procset Adobe_Illustrator_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_IncludePlacedImages
%AI3_TemplateBox: 297.5 420.5 297.5 420.5
%AI3_TileBox: 14 13 581 830
%AI3_DocumentPreview: Header
%%PageOrigin:14 13
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%%AI3_Margin:14 -13 -14 12
%AI7_GridSettings: 72 8 72 8 1 0 0.8 0.8 0.8 0.9 0.9 0.9
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0 0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize
{
/packedarray where
{
pop
}
{
Adobe_packedarray begin
Adobe_packedarray
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
} ifelse
} def
/terminate
{
} def
/packedarray
{
array astore readonly
} def
/setpacking
{
pop
} def
/currentpacking
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1 0
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize
{
/cshow where
{
pop
}
{
userdict /Adobe_cshow_vars 1 dict dup begin put
/_cshow
{} def
Adobe_cshow begin
Adobe_cshow
{
dup xcheck
{
bind
} if
userdict 3 1 roll put
} forall
 end
 end
} ifelse
} def
/terminate
{
} def
/cshow
{
exch
Adobe_cshow_vars
exch /_cshow
exch put
{
0 0 Adobe_cshow_vars /_cshow get exec
} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0 0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize
{
/setcustomcolor where
{
pop
}
{
Adobe_customcolor begin
Adobe_customcolor
{
dup xcheck
{
bind
} if
pop pop
} forall
 end
Adobe_customcolor begin
} ifelse
} def
/terminate
{
currentdict Adobe_customcolor eq
{
 end
} if
} def
/findcmykcustomcolor
{
5 packedarray
}  def
/setcustomcolor
{
exch
aload pop pop
4
{
4 index mul 4 1 roll
} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_pattern_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Pattern Operators)
%%Version: 1.1 0
%%CreationDate: (7/21/89) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_pattern_AI3 16 dict dup begin put
/initialize
{
/definepattern where
{
pop
}
{
Adobe_pattern_AI3 begin
Adobe_pattern_AI3
{
dup xcheck
{
bind
} if
pop pop
} forall
mark
cachestatus 7 1 roll pop pop pop pop exch pop exch
{
{
10000 add
dup 2 index gt
{
exit
} if
dup setcachelimit
} loop
} stopped
cleartomark
} ifelse
} def
/terminate
{
currentdict Adobe_pattern_AI3 eq
{
 end
} if
} def
errordict
/nocurrentpoint
{
pop
stop
} put
errordict
/invalidaccess
{
pop
stop
} put
/patternencoding
256 array def
0 1 255
{
patternencoding exch ( ) 2 copy exch 0 exch put cvn put
} for
/definepattern
{
17 dict begin
/uniform exch def
/cache exch def
/key exch def
/procarray exch def
/mtx exch matrix invertmatrix def
/height exch def
/width exch def
/ctm matrix currentmatrix def
/ptm matrix def
/str 32 string def
/slice 9 dict def
slice /s 1 put
slice /q 256 procarray length div sqrt floor cvi put
slice /b 0 put
/FontBBox [0 0 0 0] def
/FontMatrix mtx matrix copy def
/Encoding patternencoding def
/FontType 3 def
/BuildChar
{
exch
 begin
/setstrokeadjust where {pop true setstrokeadjust} if
slice begin
dup q dup mul mod s idiv /i exch def
dup q dup mul mod s mod /j exch def
q dup mul idiv procarray exch get
/xl j width s div mul def
/xg j 1 add width s div mul def
/yl i height s div mul def
/yg i 1 add height s div mul def
uniform
{
1 1
}
{
width 0 dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
0 height dtransform
dup mul exch dup mul add sqrt dup 1 add exch div
} ifelse
width 0 cache
{
xl 4 index mul yl 4 index mul xg 6 index mul yg 6 index mul
setcachedevice
}
{
setcharwidth
} ifelse
gsave
scale
newpath
xl yl moveto
xg yl lineto
xg yg lineto
xl yg lineto
closepath
clip
newpath
 end
 end
exec
grestore
} def
key currentdict definefont
end
} def
/patterncachesize
{
gsave
newpath
0 0 moveto
width 0 lineto
width height lineto
0 height lineto
closepath
patternmatrix setmatrix
pathbbox
exch ceiling 4 -1 roll floor sub 3 1 roll
ceiling exch floor sub
mul 1 add
grestore
} def
/patterncachelimit
{
cachestatus 7 1 roll 6 npop 8 mul
} def
/patternpath
{
exch dup begin setfont
ctm setmatrix
concat
slice exch /b exch slice /q get dup mul mul put
FontMatrix concat
uniform
{
width 0 dtransform round width div exch round width div exch
0 height dtransform round height div exch height div exch
0 0 transform round exch round exch
ptm astore setmatrix
}
{
ptm currentmatrix pop
} ifelse
{currentpoint} stopped not
{
2 npop
pathbbox
true
4 index 3 index eq
4 index 3 index eq
and
{
pop false
{
{2 npop}
{3 npop true}
{7 npop true}
{pop true}
pathforall
} stopped
{
5 npop true
} if
} if
{
height div ceiling height mul 4 1 roll
width div ceiling width mul 4 1 roll
height div floor height mul 4 1 roll
width div floor width mul 4 1 roll
2 index sub height div ceiling cvi exch
3 index sub width div ceiling cvi exch
4 2 roll moveto
FontMatrix mtx invertmatrix
dup dup 4 get exch 5 get rmoveto
ptm ptm concatmatrix pop
slice /s
patterncachesize patterncachelimit div ceiling sqrt ceiling cvi
dup slice /q get gt
{
pop slice /q get
} if
put
0 1 slice /s get dup mul 1 sub
{
slice /b get add
gsave
0 1 str length 1 sub
{
str exch 2 index put
} for
pop
dup
{
gsave
ptm setmatrix
1 index str length idiv {str show} repeat
1 index str length mod str exch 0 exch getinterval show
grestore
0 height rmoveto
} repeat
grestore
} for
2 npop
}
{
4 npop
} ifelse
} if
end
} def
/patternclip
{
clip
} def
/patternstrokepath
{
strokepath
} def
/patternmatrix
matrix def
/patternfill
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternclip
Adobe_pattern_AI3 /patternpath get exec
grestore
newpath
} def
/patternstroke
{
dup type /dicttype eq
{
Adobe_pattern_AI3 /patternmatrix get
} if
gsave
patternstrokepath
true
{
{
{
newpath
moveto
}
{
lineto
}
{
curveto
}
{
closepath
3 copy
Adobe_pattern_AI3 /patternfill get exec
} pathforall
3 npop
} stopped
{
5 npop
patternclip
Adobe_pattern_AI3 /patternfill get exec
} if
}
{
patternclip
Adobe_pattern_AI3 /patternfill get exec
} ifelse
grestore
newpath
} def
/patternashow
{
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%%BeginResource: procset Adobe_Illustrator_AI3 1.1 0
%%Title: (Adobe Illustrator (R) Version 3.0 Full Prolog)
%%Version: 1.1 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1996 Adobe Systems Incorporated All Rights Reserved)
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closepath
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S
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setpacking
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{
} def
%%EndResource
%%EndProlog
%%BeginSetup
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_pattern_AI3 /initialize get exec
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262.792 331.7031 m
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237.689 310.4219 m
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217.4575 283.874 m
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254.4702 463.9429 m
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340.5303 377.9268 m
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159.1597 333.6777 m
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189.3789 349.2852 m
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220.2339 364.1152 m
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253.5469 377.415 m
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256.9248 455.6992 m
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285.0088 457.02 m
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1 w
340.4434 464.0298 m
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% Finally, here is the rest of resonant.tex:
% 
\usepackage{epsf}
\usepackage{amsmath}
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\title{Splitting of separatrices near resonant periodic orbits}
\author{Vassili Gelfreich\\
E-mail: gelf@math.fu-berlin.de}
\date{October 12, 2000}
\begin{document}

\maketitle
\begin{abstract}
We consider an analytic family of area-preserving maps
$F_\varepsilon$ with an elliptic fixed point. We assume that for 
$\varepsilon=0$ the fixed point is resonant of an order $n=1,2$ or $3$.
In each of these cases the fixed point can be unstable at the 
exact resonance, and close to the exact resonance 
there is a hyperbolic periodic orbit. The resonant normal form
is integrable and its separatrices form a small loop.
Separatrices of the map $F_\varepsilon$ are close to the 
separatrices of the normal form but can intersect transversally. 

Asymptotic formulae for the splitting of separatrices
are provided.
The splitting is exponentially small compared to $\varepsilon$
and can not be detected by Melnikov method.

This problem is equivalent to studying a generic family of
close-to-resonant elliptic periodic orbits in an analytic Hamiltonian system
with two degrees of freedom.
\end{abstract}
\section{Introduction}

In a Hamiltonian system closed orbits are not isolated but
form one-parametric families. As a rule, nearby members of the family
belong to different energy levels. 
Here we consider an analytic Hamiltonian system with 
two degrees of freedom only. In such a system
small oscillations about the closed orbits can be described
by a time-periodic system with one degree of freedom which
depends on a parameter. 
Let the periodic orbits be of elliptic type. It
has a complex multiplicator $\mu$ with $|\mu|=1$.
We say that a  periodic orbit is resonant if $\mu^n=1$ 
for some integer $n$. We take
the smallest positive $n$ to be the order of the resonance.
The motion near the resonant periodic orbit
can be described using a resonant normal form. The resonant
normal form can be reduced to an autonomous system
with one degree of freedom and its phase portrait can be drawn.
If coefficients of the lowest-order terms in the normal form
are in general position, then there are only finitely many different
types of phase portraits \cite{ArnoldKN93}.

The resonances of the order $n=1,2,3,$ and $4$ have a special property:
the linearly stable periodic orbit may become unstable at exact
resonance. At resonance of the order $n=1$ or $3$ the elliptic
periodic orbit is generically unstable. 
At resonance of the order $n=2$ or $4$ both stable and 
unstable cases are possible in general position depending
on coefficients of the resonant normal form.

\smallskip

It is more convenient to consider an equivalent problem
formulated in terms of families of area-preserving maps, which are
obtained by considering Poincar\'e section near the closed 
orbits. 

Let $F_\varepsilon$ denote an one-parametric analytic family
of area-preserving maps.
Assume that there is a family of elliptic fixed points $\p_\varepsilon$
with a (complex) multiplicator $\mu_\varepsilon$, 
$|\mu_\varepsilon|=1$.  Let $\mu_0^n=1$, we say that $\p_0$ is resonant. 
In this paper we study the resonances of the order 
$n=1,2$, and $3$. The case $n=4$ has some special properties
and it is to be studied in a separate paper.

The $n^{\mathrm{th}}$ iterate $F_\varepsilon^n$
 can be considered as a time-one map of an autonomous
Hamiltonian system with one degree of freedom 
with an error, which is smaller than any power of 
$\varepsilon$~\cite{ArnoldKN93}.
It is possible to simplify the form of the corresponding Hamiltonian
by a canonical transformation. 
In this way the system is transformed to a {\em resonant normal form}.
The lower order normal form Hamiltonian $H_n$ depends on 2 parameters: 
$\delta$ describes deviation from the exact resonance 
(and it is proportional to a power of $\varepsilon$),
and  $A$ depends on the map $F_0$ only. It is
not too difficult to provide an explicit formula for $A$ and
$\delta$ as a function of several first coefficients of the
Taylor series of $F_\varepsilon$ in two space variables and
$\varepsilon$. These formulae are not of big importance for the
purposes of the present paper since we will formulate our results in
terms of quantities, which allow coordinate independent
definitions.

\smallskip

The phase portraits and the main
oder terms of the normal forms are given on Fig.~\ref{Fig:resnf}
and~\ref{n=2b}. This is a complete list of non-degenerate
cases for resonances of the order $n=1,2,$ and $3$~\cite{ArnoldKN93}.

\smallskip

\begin{figure}[thb]
\begin{center}
\begin{tabular}{lccc}
&
{\large$\delta<0$ }&{ \large$\delta=0$}&{\large$\delta>0$}\\[12pt]
a)&{\epsfxsize3cm\epsffile{R1_a.eps}}&
{\epsfxsize3cm\epsffile{R1_0.eps}}&
{\epsfxsize3cm\epsffile{R1_p.eps}}\\
&$n=1$&
$\displaystyle H_1=\delta x +\frac{y^2}2+A\frac{x^3}3$\\[18pt]
b)&
{\epsfxsize3cm\epsffile{R2_a.eps}}&
{\epsfxsize3cm\epsffile{R2_0.eps}}&
{\epsfxsize3cm\epsffile{R2_p.eps}}\\
&$n=2$&
$\displaystyle H_2=-\delta\frac{x^2}2+\frac{y^2}2-A\frac{x^4}4$\\[18pt]
c)&
{\epsfxsize3cm\epsffile{R3_a.eps}}&
{\epsfxsize3cm\epsffile{R3_0.eps}}&
{\epsfxsize3cm\epsffile{R3_p.eps}}\\
&$n=3$&
$\displaystyle
H_3=\delta\frac{x^2+y^2}2+A(x^3-3x y^2)$ 
\end{tabular}
\end{center}
\caption{Bifurcations of equilibria of the resonant normal forms
($A>0$)\label{Fig:resnf}}
\end{figure}


The phase portrait of the map $F_\varepsilon$ looks quite similar to its
normal form, but still  some explanations are necessary.

In the cases $n=1$ and $2$ the elliptic fixed point $\p_\varepsilon$
exists only on one side of the resonance.  Exactly at resonance
the multiplicator of $\p_0$ is real ($\pm1$, respectively),
and the fixed point is not elliptic but parabolic.


In the case $n=1$ shown on Fig.~\ref{Fig:resnf}~a
the elliptic fixed point
collides with a hyperbolic fixed point and disappear. This corresponds
to a Hamiltonian saddle-center (Bogdanov-Tackens) bifurcation. 

In the case $n=2$ we see a pitch-fork period doubling bifurcation.
There are two possibilities: a) (Fig.~\ref{Fig:resnf}~b) 
the elliptic fixed point collides
with a hyperbolic period-two trajectory, after that it becomes hyperbolic
and the period-two trajectory disappears; b) (Fig.~\ref{n=2b}) 
the elliptic fixed point becomes hyperbolic 
and a period two elliptic trajectory arises.


In the case $n=3$ (see Fig.~\ref{Fig:resnf} c)) the elliptic 
fixed point exists on both sides
of the resonance. At the resonance it collides with a period
3 hyperbolic periodic orbit. 

\medskip

In each of these cases separatrices of the normal
form make a small loop around the elliptic equilibrium.
At any order the resonant normal form is integrable,
and the corresponding stable and unstable separatrices coincide.
This is not generically true for the map $F_\varepsilon$---as it
was already pointed in \cite{ArnoldKN93}---the separatrices of the map
may intersect transversally. Detecting this is a very difficult
analytical problem since  in the analytical case
the splitting of separatrices is exponentially small in $\varepsilon$.
Before providing the asymptotic formulae, which describe
the splitting of the separatrices, we need in some preliminary definitions.

\medskip 

There are many different ways in which one may  quantitatively
describe the separatrices splitting. We prefer Lazutkin
homoclinic invariant, which is defined in the following way.
Let the separatrices of the hyperbolic $n$-periodic orbit
be parameterized by solutions of the following
finite-difference equation
$$
\psi^\pm(t+h)=F^n_\varepsilon(\psi^\pm(t)),\qquad
\psi^\pm(t)\to \x_\varepsilon\quad \mbox{as $t\to\pm\infty$,}
$$
where $\x_\varepsilon$ is one of the $n$ points of the hyperbolic
periodic trajectory. The "$+$" corresponds to the stable separatrix and the "-"
to the unstable one.
 We let $h=\log\lambda_\varepsilon$ and assume that
the multiplicator of the hyperbolic periodic orbit $\lambda_\varepsilon>1$.
The image $\psi^\pm({\mathbf R}) $ is one
whisker of the separatrix. 
Under an additional condition ($2\pi\I$ periodicity in $t$)
these solutions are unique up to a substitution 
$t\mapsto t+\mathrm{const}$. The derivative
$\vec e_\pm(t)=\frac{d\psi^\pm}{d t}(t)$ defines a
vector field tangent to the stable and unstable separatrices,
respectively. These vector fields are $F_\varepsilon^n$-invariant.
It is easy to see that the vector fields are independent
from the choice of the normalization constant in the definition
of $\psi^\pm$. Let $\x_h$ denote
a homoclinic point. Then Lazutkin homoclinic invariant,
$\omega:=\vec e_-\wedge \vec e_+$, equals to the area of a
parallelogram defined by the tangent vectors  $\vec e_-$ and $\vec e_+$ 
at $\x_h$. Lazutkin homoclinic invariant
has remarkable properties: 1) it takes the same value for all points
of the homoclinic trajectory of $\x_h$; 2) it is invariant with
respect to canonical substitutions; 3) for a fixed $\x_h$
it is proportional to the sine of the splitting angle.

We have chosen the homoclinic invariant in order to describe the
splitting by one invariantly defined number,
which is easy to compute with high precision.
This permits a careful comparison of the theory with results of numerical
experiments. Of course,  inside the proofs there are expressions, which
describe the behavior of the separatrices as curves, {i.e.}
much detailed description of the separatrices is also possible
by the same method.

\bigskip

The main result of the present paper is the following
asymptotic formula for the Lazutkin homoclinic invariant.
Let the map $F_\varepsilon$ afford one of the nondegenerate
resonant normal forms shown on  Fig.~\ref{Fig:resnf}.
Assume $\varepsilon$ be sufficiently small, then
$F_\varepsilon$ has exactly one $n$-periodic hyperbolic trajectory
in a neighborhood of $\p_\varepsilon$ (only on one side of the resonance
if $n=1$ or $2$). Separatrices of the hyperbolic periodic trajectory
form a small loop around $\p_\varepsilon$. 
There are at least two different primary homoclinic orbits.
The homoclinic invariant of one primary homoclinic orbit 
is given asymptotically by
\begin{equation}\label{Eq:homoclinv1}
\omega=\frac{4\pi}{h^2}\,\e^{-\frac{2\pi^2}h}
\bigl(|\Theta|+O(h)\bigr),
\end{equation}
where $h=\log\lambda_\varepsilon$, $\lambda_\varepsilon$ is the multiplicator of the
hyperbolic periodic orbit. It vanishes together with $\varepsilon$,
so the splitting is exponentially small compared to
$\varepsilon$. The preexponential factor $|\Theta|$ is a constant,
which depends on the map at the moment of the resonance only.
If $\Theta$ does not vanish there are exactly two primary
homoclinic orbits with different orientation of intersection
of separatrices, and  both of them are transversal.

\begin{figure}[htb]
\begin{tabular}{ccc}
{\large$\delta<0$ }&{ \large$\delta=0$}&{\large$\delta>0$}\\[12pt]
{\epsfxsize3cm\epsffile{R2d_a.eps}}&
{\epsfxsize3cm\epsffile{R2d_0.eps}}&
{\epsfxsize3cm\epsffile{R2d_p.eps}}\\
$n=2$&
$\displaystyle\tilde H_2=\delta\frac{x^2}2+\frac{y^2}2+A\frac{x^4}4$&
$A>0$
\end{tabular}
\caption{Resonant normal form. \label{n=2b}}
\end{figure}

A similar statement is valid if the map $F_\varepsilon$
has the resonant normal form shown on Fig.~\ref{n=2b}, but
the asymptotic formula for the homoclinic invariant has
to be replaced by:
\begin{equation}\label{Eq:homoclinv2}
\omega=\frac{4\pi}{h^2}\,\e^{-\frac{\pi^2}h}\bigl(|\Theta|+O(h)\bigr), 
\end{equation}
where $h=\log\lambda_\varepsilon^2$, $\lambda_\varepsilon<-1$ is the multiplicator of the
hyperbolic fixed point, which appears after the bifurcation.
The only difference compared to the previous case is in the exponent.

\medskip

An important ingredient of the asymptotic formulae is the
constant $\Theta$. The asymptotic formulae above imply transversality
of the separatrices for small $\varepsilon$ only provided
$\Theta$ does not vanish. This constant can be defined as a symplectic
invariant associated with the corresponding map $F_0$.
The constant $\Theta$ can vanish. For example, if the
map $F_0$ is time one map of the corresponding
normal form, or if $F_0$ is integrable. Numerical experiments
show that $\Theta$ may vanish in a nonintegrable case too.
We conjecture, that for any map $F_0$, any $\Theta_0\in{\mathbf C}$
 and any natural $N$
there is another map $\tilde F_0$, which have the same Taylor
expansion as $F_0$ up to the order $N$ and 
$\Theta(\tilde F_0)=\Theta_0$.
In other words, the constant $\Theta$ is not defined by any
final jet of the function $F_0$. On the other hand there are
efficient numerical method for its evaluation
\cite{LazutkinST89,GelfreichS99}. In some cases it
is possible to prove analytically that $\Theta$ does not vanish
\cite{GelfreichS99}, making in this way the proof of
transversality of separatrices purely analytical even
for concrete families and not only in generic sense.

\medskip

If the map $F_\varepsilon$ has additional symmetries its
separatrix splitting can be much smaller compared to the
above-described general case. For example, 
consider $n=2$ and let the map $F_\varepsilon$ be odd.
Then the constant $\Theta(F_0)=0$ due to the symmetry,
and the splitting of separatrices is essentially smaller
compare to the general non-odd case. Nevertheless
an asymptotic formula for the splitting of separatrices
can be derived by the same method  for this case too. Instead  of
$F_\varepsilon$ we have to consider an  auxiliary map
$G_\varepsilon=-F_\varepsilon$. Note that
$G_\varepsilon^2=F_\varepsilon^2$,
so the separatrices of these two maps coincide.
The corresponding statements and asymptotic asymptotic formula
(\ref{Eq:homoclinv2})  remain valid for $G_\varepsilon$ if we 
use $h=\log(-\lambda_\varepsilon)$. Note that the multiplicator of the 
hyperbolic fixed point of $G_\varepsilon$ equals to $-\lambda_\varepsilon$.
Thus the new $h$ is a half of the corresponding value for $F_\varepsilon$,
and the order of the splitting is much smaller (approximately square
of the general case); moreover if $\Theta(G_0)\ne0$ then the map
$F_\varepsilon$ has exactly 4 different primary homoclinic
orbits.

\section{Separatrices of the resonant normal form}
In all the cases of $n=1,2,3$ the separatrix $W_0$ of the main
order normal form
can be found explicitly. This separatrix plays an important role in
the study. It provides the first order approximation
for the separatrices of $F_\varepsilon$. The behavior of
the separatrices of the map near singularities of $W_0$
gives a key to detecting the exponentially small transversality
of the separatrices. The following table contains a list of 
the corresponding separatrix solutions. 

\bigskip\noindent
\begin{tabular}{llll}
$n=1$&$\displaystyle X_0=-\frac{3\delta}{2 A}
\frac{1}{\cosh^2\frac{\sqrt{-\delta}\,t}{2}}$
&$\displaystyle Y_0=\frac{3\sqrt{-\delta^3}}{2 A}
\frac{\sinh\frac{\sqrt{-\delta}\,t}{2}}{\cosh^3\frac{\sqrt{-\delta}\,t}{2}}
$ &$\delta<0$\\[12pt]
$n=2$&$\displaystyle
X_0=\sqrt{\frac{-\delta}{A}}
\tanh\textstyle\sqrt{\frac{-\delta}2}\,t 
$&$\displaystyle
Y_0=\frac{\sqrt{\delta^2/(2A)}
    }{\sinh^2\textstyle\sqrt{\frac{-\delta}2}\,t}  $
&$\delta<0$ (for $H_2$)\\[18pt]
&$\displaystyle X_0=\frac{\sqrt{2\delta/A}}{\cosh\sqrt\delta\,t}$
&$\displaystyle Y_0=-\frac{\delta\sqrt{2/A}\,\sinh\sqrt\delta\,t}
{\cosh^2\sqrt\delta\,t}$
&$\delta>0$ (for
     $\tilde H_2$)\\[12pt]
$n=3$&$\displaystyle X_0=\frac{\delta}{6A}$&
$\displaystyle Y_0=\frac{-\delta}{2\sqrt3 A}\tanh\frac{\sqrt 3 \delta\,
    t}{2}$
\end{tabular}

\section{Definition of $\Theta$}

We give a short description of a problem, which leads to the
definition of the splitting constant $\Theta$. We consider the
finite-difference equation
\begin{equation}
\left(\!\begin{array}{ll}u\\v\end{array}\!\right)(\tau+1)=
F_0^n\left(\left(\!\begin{array}{ll}u\\v\end{array}\!\right)(\tau)\right).
\end{equation}
This system has a formal solution in class of formal series
in powers of $\tau^{-1}$. It is defined up to a translation
$\tau\mapsto \tau+\tau_0$ with $\tau_0\in{\mathbf R}$. 
The equation has two analytic solution $(u^\pm(\tau),v^\pm(\tau))$,
 which are asymptotic to the single formal solution as
$\tau\to\pm\infty$, respectively. 
We consider their analytical continuation on complex $\tau$.
They have the same asymptotic behavior as $\Im\tau\to-\infty$.
Moreover, their difference decreases {\em exponentially}
as $\Im\tau\to-\infty$.
The constant $\Theta$ is defined as the following limit
\begin{equation}
\Theta=\lim_{\Im\tau\to-\infty}\e^{2\pi\I\tau}\det
\left(
\begin{array}{ll}\frac{du^-}{d\tau}&u^+-u^-\\[6pt]
\frac{dv^-}{d\tau}&v^+-v^-
\end{array}
\right)(\tau).
\end{equation}
It is not difficult to check that $|\Theta|$ is a symplectic
invariant of the map $F_0$---its definition is invariant
with respect to area-preserving changes of coordinates.

\section{Final remarks}

An example of a degenerate Hamiltonian bifurcation was considered
in the pioneer paper \cite{HolmesMS88}. This example can be treated using
a modification of the Melnikov method as described in
\cite{Gelfreich97a}. In particular in this degenerate case
the constant $\Theta$ can be computed analytically by the
Melnikov method. In general case, which is described in
the present note, this is impossible.
As far as the author knows, all attempts to solve
the problems described in the present paper
and some similar ones using modifications of the Melnikov
method have failed. Although recent numerical studies \cite{DelshamsR99}
showed that in some other simple degenerate cases Melnikov method
also provides an accurate estimate for the splitting.

The case $n=1$ was considered previously in the paper
\cite{Gelfreich2000}.

In order to prove asymptotic formulae 
(\ref{Eq:homoclinv1})--(\ref{Eq:homoclinv2})
the author used the method proposed by Lazutkin \cite{Lazutkin84}
and developed later by Lazutkin and his collaborators for the study of
the separatrix splitting of the standard map 
(see \cite{Gelfreich1999}, where a detailed description of the method
is given, and \cite{Gelfreich2000} for a shorter exposition
in context of  an application to a bifurcation problem).

The method is based on an accurate study of the analytic continuation
of the map $F_\varepsilon$ and its separatrices
 in the complex phase space. In a complex
domain the splitting of separatrices is not small and can be
detected by a specially developed complex matching method. 
The splitting of complex separatrices is already present
for $F_0$ at the moment of the resonance,
although it is not visible on the real pictures but leaves in a
complex domain only.  The value of this separatrix
splitting is described by the complex constant $\Theta$,
and it is inherited near the resonance.
A ``discrete flow fox theorem'' (``theorem on analytic
integral'') is used  to come back from complex dynamics to the real one. 
 
\subsection*{Acknowledgments}
This work is partially supported by the INTAS grant  97-10771.
The author thanks B. Fiedler for stimulating discussions.

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\end{document}
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