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[/Title (PostScript pictures: http://farbe.li.tu-berlin.de/hgu2/hgu2.htm)
/Author (compare K. Richter "Computergrafik ...": ISBN 3-8007-1775-1)
/Subject (goto: http://farbe.li.tu-berlin.de or http://color.li.tu-berlin.de)
/Keywords (image reproduction, colour devices)
/Creator (klaus.richter@mac.com)
/CreationDate (D:2024120112000)
/ModDate (D:20241201112000)
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/x_zp (x) def /x_zm (-x) def
ioute 0 eq {/e_10 (e) def /lne_10 1 def}
{/e_10 (10) def /lne_10 1 def} ifelse
/expnp 10 array def
% 0 1 2 3 4 5 6 7 8 9
/expnp [1.0 1.0 0.7 0.5 1.0 0.7 0.5 1.0 0.7 0.5] def
/expnk 10 array def
% 0 1 2 3 4 5 6 7 8 9
/expnk [(1,0) (1,0) (0,7) (0,5) (1,0) (0,7) (0,5) (1,0) (0,7) (0,5)] def
%****************************************
tfw
30 setlinewidth
/jm1 0 def
/jm2 1 def
/iytj 0 def
xchartl 0 eq {/jm2 0 def}
{/jm2 1 def} ifelse
jm1 1 jm2 {/j exch def %j=jm1,jm2
j 0 eq {/iyta 0 def} if
j 1 eq {/iyta 0 def} if
0 1 1 {/k exch def %k=0,1
k 0 eq {%k=0
j 0 eq {[ ] 0 setdash tfw} if
j 1 eq {[ ] 0 setdash tfy} if
} if %k=0
k 1 eq {%k=1
j 0 eq {[100 100] 0 setdash tfn} if
j 1 eq {[100 100] 0 setdash tfn} if
} if %k=1
%font colour
j 0 eq {tfw} if
j 1 eq {tfy} if
j 0 eq {/ixtx ix0 def
/iytx iyt0 def} if
j 1 eq {/ixtx ixt2 def
/iytx iyt2 def} if
/ianta 0 def
/iytxt iytx 050 add j 0 eq {100 add} if def
ixtx 1030 add
ianta 1 eq {150 add} if
j 0 eq {%j=0
iytxt iyta add 70 add moveto
0970 ioute 1 eq {150 add} if 0 rlineto stroke
} if %j=0
} for %k=0,1
/ianta 0 def
j 0 eq {%j=0
ixtx iytxt moveto
TBIL
(F) show
-30 -80 rmoveto TBS (ab) show 0 80 rmoveto
TBL
(\050) show
LSxr
TBL
(\051) show
TBL
ianta 1 eq {30 0 rmoveto (=) show 30 0 rmoveto (-b) show
30 0 rmoveto SL (b) show TBL}
{20 0 rmoveto (=) show 20 0 rmoveto (b) show
SL (b) show TBL} ifelse
ixtx 1000 add
ianta 1 eq {200 add} if
iytxt 100 add moveto
TBL e_10 show
0 100 rmoveto
SVxr
TBS (/a) show ioute 1 eq {(') show} if -50 -100 rmoveto
TBL ( - ) show
TBL e_10 show
0 100 rmoveto TBS (-) show
SVxr
TBS (/a) show ioute 1 eq {(') show} if 0 -100 rmoveto
ixtx 1000 add
ianta 1 eq {200 add} if
iytxt 170 sub moveto
TBL e_10 show
0 100 rmoveto
SVxr
TBS (/a) show ioute 1 eq {(') show} if -50 -100 rmoveto
TBL ( + ) show
TBL e_10 show
0 100 rmoveto TBS (-) show
SVxr
TBS (/a) show ioute 1 eq {(') show} if 0 -100 rmoveto
/iouta 1 def
iouta 1 eq {%iouta
0 180 rmoveto
TBL
ianta 1 eq {100 0 rmoveto (+1,0 =) show 20 0 rmoveto (-b) show
10 0 rmoveto SL (b) show 10 0 rmoveto TBL}
{100 0 rmoveto (+1,0 =) show
40 0 rmoveto (b) show 30 0 rmoveto SL (b) show 30 0 rmoveto TBL
} ifelse
TBL (tanh[) show LSxr
TBL (/a] +1,0) show
} if %iouta
ianta 1 eq {ix3 2250 add iyt0 300 add moveto
TBS
(antagonistic model) showen
(antagonistisches Modell) showde
} if
/asi 8 array def
/bsi 8 array def
/ati 8 array def
/bti 8 array def
%used instead of ai/bi
% 0 1 2 3 4 5 6 7
%b/a 1.00 3.44 2.30 1.75 0.67 0.57 0.43 0.29
/asi [ 1.00 0.29 0.43 0.57 1.50 1.75 2.30 3.44 ] def
/bsi [ 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 ] def
%/ati [(1,00)(2,00)(1,32)(1,40)(1,50)(2,66)(2,82)(3,00)] def
%/bti [(1,00)(1,00)(1,00)(1,00)(1,00)(1,00)(1,00)(1,00)] def
/alpha 1 def
%/ibeta 1 def
/beta 1.00 def
j 0 eq {%j=0, both sides
tfw
TBS
ix3 2250 add 500 add iyt0 300 add moveto
(standard:) showen
(Standard:) showde
ix3 2250 add 500 add iyt0 130 add moveto
(a=1,00 b=1,00) show
ioute 1 eq {%ioute=1
ix3 2250 add 500 add iyt0 040 sub moveto
(a'=a) show 30 0 rmoveto (ln(10)=) show
1.0 10 ln mul cvsshow3x
(, ) show SS (b) show TBS (=) show
beta cvsshow2x
} if %ioute=1
ioute 0 eq {%ioute=0
ix3 2250 add 500 add iyt0 040 sub moveto
SS (b) show TBS (=) show
beta cvsshow2x ( e=2,7182) show
} if %ioute=0
} if %j=0, both sides
} if %j=0
} for %j=jm1,jm2
idepi 1 eq {%idepi=1
/iyt1t iyt1 330 add def
30 setlinewidth
[ ] 0 setdash
tfg
ix0 iyt1t moveto
TBIL
(F') show
-50 -80 rmoveto TBS (ab) show 0 80 rmoveto
TBL
(\050) show
LSxrx
TBL
(\051) show 20 0 rmoveto
TBL
ianta 1 eq {(=) show 30 0 rmoveto (-4) show 30 0 rmoveto (b) show
30 0 rmoveto SL (a) show 30 0 rmoveto
TBL (/) show 30 0 rmoveto ([) show}
{(=) show 30 0 rmoveto (4) show 30 0 rmoveto (b) show
20 0 rmoveto SL (a) show 20 0 rmoveto
TBL (/) show 30 0 rmoveto ([) show} ifelse
TBL (a) show 20 0 rmoveto
TBL ({) show
TBL e_10 show
0 80 rmoveto SVxr
TBS (/a) show ioute 1 eq {(') show} if
20 -80 rmoveto
TBL (+) show 20 0 rmoveto
TBL e_10 show
0 80 rmoveto TBS (-) show SVxr
TBS (/a) show ioute 1 eq {(') show} if
20 -80 rmoveto
TBL (}) show
0 80 rmoveto TBS (2) show 0 -80 rmoveto
TBL (]) show
ix3 2000 add iyt1t moveto
TBS
(a=) show asi xchartl get cvsshow2x
%xchartl 1 ge {0 100 rmoveto TBS expnk expnr get show 0 -100 rmoveto} if
TBS
(, b=) show bsi xchartl get cvsshow2x
/ialpha 1 def
/alpha 1.00 def
ialpha 1 eq {%ialpha=1
ix3 2000 add iyt1t 200 sub moveto
SS (a) show TBS (=) show alpha cvsshow2x
(, b/a=) show bsi xchartl get asi xchartl get div cvsshow2x
} if
} if %idepi=1
tfw
/ianta 0 def
[ ] 0 setdash
0 1500 moveto 4500 0 rlineto stroke
tfl [50 50] 0 setdash 0 2000 moveto 2000 0 rlineto stroke
%tfn 200 3800 add 2070 ianta 1 eq {1000 sub} if moveto TBL (asymptote) show
tfw [ ] 0 setdash 2000 1500 moveto 0 500 rlineto stroke
xtr0 neg ytr0 neg translate
%*********************************************************************
/C0i_FXi {%BEG C0i_FXi
xtr0 ytr0 translate
/xi 51 array def %range -4 bis +4 in steps of
/yi 51 array def %range -1 to +1
/epxi 51 array def
/emxi 51 array def
/esxi 51 array def
/Frui 51 array def
/Fr1i 51 array def
/Fr2i 51 array def
/Fr3i 51 array def
/Fr4i 51 array def
/ed1i 51 array def
/ed2i 51 array def
/ed3i 51 array def
/edxi 51 array def
/Frudi 51 array def
/Frupi 51 array def
/Frumi 51 array def
/Fru1i 51 array def
/Fru2i 51 array def
/Fru3i 51 array def
/Fru4i 51 array def
/FruMi 51 array def
/Fr1Mi 51 array def
/Fr2Mi 51 array def
/Fr3Mi 51 array def
/Fr4Mi 51 array def
/FrupMi 51 array def
/FrumMi 51 array def
/Fru1Mi 51 array def
/Fru2Mi 51 array def
/Fru3Mi 51 array def
/Fru4Mi 51 array def
/Fruri 51 array def
/Fr1ri 51 array def
/Fr2ri 51 array def
/Fr3ri 51 array def
/Fr4ri 51 array def
/Fai 51 array def
/MULX 500 def
/MULY 500 def
%ioute 0 eq {/e 2.7182818 def}
% {/e 10.0 def } ifelse
/e 2.7182818 def
/im 45 def
/xdif 0.4 def %=21*0,2-19*0,2
/as asi xchartl get def
/bs bsi xchartl get def
/bsdas bs as div def
/fakbs 1 def
/ass as expnp expnr get exp lne_10 mul def
%in case of normalisation to u:
/i 20 def
xi i -4 i 0.2 mul add put
ioute 0 eq {%ioute=0
epxi i e xi i get as div exp put
emxi i e xi i get as div neg exp put
}
{%ioute=1
epxi i e xi i get lne_10 div as div exp put
emxi i e xi i get lne_10 div as div neg exp put
} ifelse
esxi i epxi i get emxi i get add put
/Fr1u epxi i get
epxi i get emxi i get add div bs mul def
/Fr2u emxi i get neg
epxi i get emxi i get add div bs mul def
/Fruu epxi i get emxi i get sub
epxi i get emxi i get add div bs mul def
/frua 1.0 def
0 1 50 {/i exch def %i=0,50
xi i -4 i 0.2 mul add put
ioute 0 eq {%ioute=0
epxi i e xi i get as div exp put %epxi=[e^(x/a) ]/2
emxi i e xi i get as div neg exp put %emxi=[e^-(x/a)]/2
}
{%ioute=1 %alternate
epxi i e xi i get lne_10 div as div exp put %epxi=[e^(x/a') ]/2
emxi i e xi i get lne_10 div as div neg exp put %emxi=[e^-(x/a')]/2
} ifelse
esxi i epxi i get emxi i get add put %esx=epxi+emxi
Fr1i i epxi i get %Fr1i=epxi/esxi*bs
epxi i get emxi i get add div bs mul frua add put
Fr2i i emxi i get neg %Fr2i=emxi/esxi*bs
epxi i get emxi i get add div bs mul frua add put
Frui i epxi i get emxi i get sub %Frui=(epxi-emxi)
epxi i get emxi i get add div bs mul frua add put % /esxi*bs
Frupi i 4 bsdas mul %Frupi=4*bs/as
esxi i get 2 exp div put % /(esxi)^2
Frumi i 4 bsdas mul neg %Frumi=-4*bs/as
esxi i get 2 exp div put % /(esxi)^2
Fru1i i Frui i get %Fru1i=Frui+Fr1i
Fr1i i get add put
Fru2i i Frui i get %Fru2i=Frui+Fr2i
Fr2i i get add put
Fru3i i Frui i get %Fru3i=Frui+Frupi
Frupi i get add put
Fru4i i Frui i get %Fru4i=Frui+Frumi
Frumi i get add put
Fr1ri i Fr1i i get Fr1u div put
Fr2ri i Fr2i i get Fr2u div put
% Fruri i Frui i get Fruu div put %cero division
%for x=Y/Yu it is xi=20
i 21 eq {/mFr1 Fr1i 21 get Fr1i 19 get sub xdif div def
/mFr2 Fr2i 21 get Fr2i 19 get sub xdif div def
/mFru Frui 21 get Frui 19 get sub xdif div def
/mFrupi Frupi 21 get Frupi 19 get sub xdif div def
/mFrumi Frumi 21 get Frumi 19 get sub xdif div def
/mFru1i Fru1i 21 get Fru1i 19 get sub xdif div def
/mFru2i Fru2i 21 get Fru2i 19 get sub xdif div def
/mFru3i Fru3i 21 get Fru3i 19 get sub xdif div def
/mFru4i Fru4i 21 get Fru4i 19 get sub xdif div def
% /mFrur Fruri 21 get Fruri 19 get sub xdif div def
} if
} for %i=0,50
%STOP1
40 setlinewidth
[ ] 0 setdash
0 1 2 {/m exch def %m=0,2
0 1 1 {/k exch def %k=0,1
k 0 eq {%k=0
[ ] 0 setdash tfw
} if %k=0
k 1 eq {%k=1
[100 100] 0 setdash tfn
} if %k=1
m 0 eq {1 0 0 setrgbcolor} if
m 1 eq {0 1 0 setrgbcolor} if
m 2 eq {1 1 0 setrgbcolor} if
/beta 1.00 def
0 1 im {/i exch def %i=0,im
m 0 eq {Fai i Fr1i i get put} if
m 1 eq {Fai i Fr2i i get put} if
m 2 eq {Fai i Frui i get put} if
i 0 eq {xi i get MULX mul 2000 add
ianta 1 eq {Fai i get neg beta mul}
{Fai i get beta mul} ifelse
MULY mul 1500 add moveto} if
i 1 ge
i im 1 sub le and {xi i get MULX mul 2000 add
ianta 1 eq {Fai i get neg beta mul}
{Fai i get beta mul} ifelse
MULY mul 1500 add lineto} if
i im eq {xi i get MULX mul 2000 add
ianta 1 eq {Fai i get neg beta mul}
{Fai i get beta mul} ifelse
MULY mul 1500 add lineto stroke} if
} for %i=0,im
} for %k=0,1
} for %m=0,2
%***************************************************************
idepi 1 eq
ideni 1 eq or {%ide(p/n)i=1
%output derivation
/alpha 1.00 def
newpath
0 1 1 {/k exch def %k=0,1 YR,YG
0 1 1 {/m exch def %k=0,1
k 0 eq {[ ] 0 setdash m 0 eq {tfr}{tfg} ifelse} if
k 1 eq {[100 100] 0 setdash tfn} if
k 2 eq {[ ] 0 setdash m 0 eq {tfr}{tfg} ifelse} if
k 3 eq {[100 100] 0 setdash tfy} if
50 setlinewidth
/im 45 def
0 1 im {/i exch def %i=0,im
i 0 eq {xi i get MULX mul 2000 add
m 0 eq {Frupi}{Frumi} ifelse i get
k 2 ge {2 mul} if alpha mul
MULY mul 1500 add moveto} if
i 1 ge
i im 1 sub le and {xi i get MULX mul 2000 add
m 0 eq {Frupi}{Frumi} ifelse i get
k 2 ge {2 mul} if alpha mul
MULY mul 1500 add lineto} if
i im eq {xi i get MULX mul 2000 add
m 0 eq {Frupi}{Frumi} ifelse i get
k 2 ge {2 mul} if alpha mul
MULY mul 1500 add lineto stroke} if
} for %i=0,im
} for %m=0,1
} for %k=0,3
0 setgray
[ ] 0 setdash
20 setlinewidth
%ixt2 50 add 2250 moveto
%tfw TBS (mFrupi=) show mFrupi cvsshow2 ( ) show
%tfw TBS (mFrumi=) show mFrumi cvsshow2 ( ) show
} if %ide(p/n)i=1
%************************************************************
iampi 1 eq
iamni 1 eq or {%iam(p/n)i=1
%output amplitude modulation positive (p) or negative (N)
/alpha 1.00 def
[100] 0 setdash
0 1 1 {/m exch def %m=0,1
m 0 eq {1 0 0}{0 1 0} ifelse setrgbcolor
0 1 im {/i exch def %i=0,im
i 0 eq {xi i get MULX mul 2000 add
m 0 eq {Fru3i}{Fru4i} ifelse i get alpha mul
MULY mul 1500 add moveto} if
i 1 ge
i im 1 sub le and {xi i get MULX mul 2000 add
m 0 eq {Fru3i}{Fru4i} ifelse i get alpha mul
MULY mul 1500 add lineto} if
i im eq {xi i get MULX mul 2000 add
m 0 eq {Fru3i}{Fru4i} ifelse i get alpha mul
MULY mul 1500 add lineto stroke} if
} for %i=0,im
} for %m=0,1
[ ] 0 setdash
20 setlinewidth
ixt2 50 add 2050 moveto
tfw TBS (mFru3i=) show mFru3i cvsshow2 ( ) show
tfw TBS (mFru4i=) show mFru4i cvsshow2 ( ) show
} if %iam(p/n)i=1
%************************************************************
iaspi 1 eq
iasni 1 eq or {%ias(p/n)i=1
%output amplitude shift positive (p) or negative (N)
/alpha 1.00 def
[100] 0 setdash
0 1 1 {/m exch def %m=0,1
m 0 eq {1 0 0}{0 1 0} ifelse setrgbcolor
0 1 im {/i exch def %i=0,im
i 0 eq {xi i get MULX mul 2000 add
m 0 eq {Fru1i}{Fru2i} ifelse i get alpha mul
MULY mul 1500 add moveto} if
i 1 ge
i im 1 sub le and {xi i get MULX mul 2000 add
m 0 eq {Fru1i}{Fru2i} ifelse i get alpha mul
MULY mul 1500 add lineto} if
i im eq {xi i get MULX mul 2000 add
m 0 eq {Fru1i}{Fru2i} ifelse i get alpha mul
MULY mul 1500 add lineto stroke} if
} for %i=0,im
0 setgray
} for %m=0,1
[ ] 0 setdash
20 setlinewidth
ixt2 50 add 2050 moveto
tfw TBS (mFru1i=) show mFru1i cvsshow2 ( ) show
tfw TBS (mFru2i=) show mFru2i cvsshow2 ( ) show
} if %ias(p/n)i=1
%************************************************************
%output
ixt2 50 add 1850 moveto
tfw TBS (a=) show as cvsshow2x ( ) show
tfw TBS (b=) show bs cvsshow2x ( ) show
tfw TBS (b/a=) show bsdas cvsshow2x ( ) show
ixt2 50 add 1050 moveto
tfr TBS (m) show TBV 0 -30 rmoveto (R+) show 0 30 rmoveto
TBS (=) show mFr1 cvsshow2x ( ) show
tfg TBS (m) show TBV 0 -30 rmoveto (G-) show 0 30 rmoveto
TBS (=) show mFr2 cvsshow2x ( ) show
tfy TBS (m) show TBV 0 -30 rmoveto (Y+) show 0 30 rmoveto
TBS (=) show mFru cvsshow2x ( ) show
%ixt2 50 add 0400 moveto
%tfr TBS (m) show TBV 0 -30 rmoveto (R+) show 0 30 rmoveto
% TBS (=) show mFrM1 cvsshow2x ( ) show
%tfg TBS (m) show TBV 0 -30 rmoveto (G-) show 0 30 rmoveto
% TBS (=) show mFrM2 cvsshow2x ( ) show
%tfy TBS (m) show TBV 0 -30 rmoveto (Y+) show 0 30 rmoveto
% TBS (=) show mFrMu cvsshow2x ( ) show
%tfn TBS (m) show TBV 0 -30 rmoveto (Y+) show 0 30 rmoveto
% TBS (=) show mFru2Ni cvsshow2x ( ) show
%************************************************************
tfl
/yshi 1500 def
30 setlinewidth
[100 100] 0 setdash
1600 0 moveto 1600 Frui 16 get MULY mul yshi add lineto stroke
2400 500 moveto 2400 Frui 24 get MULY mul yshi add lineto stroke
[ ] 0 setdash
20 setlinewidth
TBL %last circles
newpath
tfw 1600 Frui 16 get MULY mul yshi add 70 0 360 arc fill
tfn 1600 Frui 16 get MULY mul yshi add 50 0 360 arc fill
tfn 2400 Frui 24 get MULY mul yshi add 70 0 360 arc fill
tfw 2400 Frui 24 get MULY mul yshi add 50 0 360 arc fill
newpath
tfn 1600 230 sub Frui 16 get MULY mul yshi add 010 add moveto (N) show
tfw 2400 100 sub Frui 24 get MULY mul yshi add 100 add moveto (W) show
xtr0 neg ytr0 neg translate
} def %C0i_FXi %END C0i_FXi
%*********************************************************************
C0i_FXi
%**************************************************************
%special space for 'xm03'PROZ0.COM 2x before/after xchartl
% xchartl 0 eq { 100 neg 13000 neg translate} if
% xchartl 1 eq { 6150 neg 13000 neg translate} if
% xchartl 2 eq { 100 neg 08740 neg translate} if
% xchartl 3 eq { 6150 neg 08740 neg translate} if
% xchartl 4 eq { 100 neg 04480 neg translate} if
% xchartl 5 eq { 6150 neg 04480 neg translate} if
% xchartl 6 eq { 100 neg 00220 neg translate} if
% xchartl 7 eq { 6150 neg 00220 neg translate} if
grestore
%} for %xchartl=0,07
showpage
grestore
%%Trailer