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2004-04-14
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1,560 lines
Airyho funkce
14
;1/(1+4*X/((1-X)*(1-X))*(sin(Y/2)*sin(Y/2)))
1/(1+4*X*(sin(Y/2)/(1-X))^2)
/bp:215,215,215
/bh:230,255,255
/bl:90,120,120
/bm:26,26,26
/XR:0,0.6
/YR:-7.5,7.5
/ZR:-2.5,2.5
/I:500000
/view:2
/q:10,500
/a:t,0,0.1
/cm:3
Objem no. 1
14
X}0
X<1
Y>0
Y<1
X*X+Y*Y+Z*Z<1.5
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/I:50000
/view:2
jedna z bipolarnich souradnic
9
arctan(2*Y/(X*X+Y*Y-1))
/bp:128,128,128
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-10,10
/YR:-10,10
/ZR:-2,2
/view:1
kalhotky-tanga
10
ln((1+X*X)*exp(1+Y*Y))
/bp:226,226,226
/bh:235,218,235
/bl:98,53,98
/bm:26,26,26
/XR:-25,25
/YR:-25,25
/ZR:-3,7
/view:2
/q:300,300
koule o polomeru 1
3
/l:X*X+Y*Y+Z*Z{1
/r:5,5,5
/i:50000
stojan na vajicko
7
;(X*X+Y*Y)*exp(-(X*X*Y*Y))
(X^2+Y^2)*exp(-(X^2*Y^2))
/bp:215,215,215
/r:8,8,8
/i:300000
/bl:124,52,78
/bh:255,255,255
strange one
6
exp(X*X)*(Y*Y+1)*(X-2)
/r:10,10,80
/bp:200,200,200
/i:250000
/bh:255,255,255
/bl:19,108,64
strange two
12
X^4+Y^4-X^2-Y^2-2*X*Y
/bp:195,195,195
/bh:193,227,203
/bl:73,107,163
/bm:26,26,26
/XR:-4,4
/YR:-4,4
/ZR:-4,4
/I:300000
/view:2
/a:t,0,0.1
/cm:3
strange sinus
11
cosh(sin(X)+cos(Y)+cos(X-Y))*cosh(sin(1/(X^2*Y)))
/bp:225,225,225
/bh:213,240,220
/bl:73,107,163
/bm:26,26,26
/XR:-4,4
/YR:-4,4
/ZR:-12.5,12.5
/I:500000
/view:2
/q:200,200
rohata helma
11
-(Y-X*X)*(Y-2*X*X)
/bp:174,189,191
/bh:248,233,233
/bl:104,34,34
/bm:26,26,26
/XR:-2.5,2.5
/YR:-2.5,2.5
/ZR:-5,5
/I:500000
/view:2
dvojlzice
11
Y*(1-X*X-Y*Y)
/bp:215,215,215
/bh:0,155,0
/bl:255,255,90
/bm:26,26,26
/XR:-2,2
/YR:-2,2
/ZR:-1,1
/I:600000
/view:2
/q:100,200
objem rohate helmy
3
/l:Z{-(Y-X*X)*(Y-2*X*X)
/r:5,5,10
/i:100000
jedna z bipolarnich souradnic barvickii
11
arctan(2*Y/(X*X+Y*Y-1))
;/bz:0,0,0
/bp:198,198,198
/bh:255,255,0
/bl:0,255,255
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-10,10
/I:500000
/view:1
jedna z bipolarnich souradnic barvickii 2
12
arctan(2*Y/(X*X+Y*Y-1))
/bp:128,128,128
/bh:255,255,0
/bl:0,255,255
/bz:128,128,128
/bm:26,26,26
/XR:-2.5,2.5
/YR:-2.5,2.5
/ZR:-5,5
/I:350000
/view:1
copa to jee?
3
/r:2,2,2
sin(X*Y*ln(X*X+Y*Y))
/i:500000
kreslo
10
X^3+Y^16
/bp:223,223,223
/bh:0,0,0
/bl:74,108,163
/bm:26,26,26
/XR:-1,1
/YR:-1,1
/ZR:-1,1
/I:480000
/view:2
absolute threedee
9
abs(X*Y)
/bp:247,247,230
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1,1
/YR:-1,1
/ZR:-1,1
/I:300000
zkouska #2
12
1.5-X-Y
/l:Z}0
/l:Z{1
/l:Y}0
/l:Y{1
/l:X}0
/l:X{1
/r:3,3,3
/bh:230,255,255
/bl:90,120,120
/bp:215,215,215
/i:150000
treti vodmocnina
5
/bp:197,190,190
/bl:87,115,90
/bh:214,224,215
(X^2+Y^2)^(1/3)
/i:500000
borgska krychle
6
/r:20,20,2
sin(X*Y*ln(X*X+Y*Y))
/bh:255,255,255
/bl:100,100,100
/i:600000
/bp:223,218,200
3d drez
6
/bp:197,190,190
/bl:87,115,90
/bh:214,224,215
/l:Z>(X^2+Y^2)^(1/3)
/l:Z<(X^2+Y^2)^(1/2)
/i:500000
tondach
11
abs(sin(X))
/bp:200,206,198
/bh:140,56,58
/bl:90,36,38
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:500000
/view:2
/q:500,10
merime pi
5
/l:X^2+Y^2{1
;/l:Z}-0.5
;/l:Z{0.5
/r:2.5,2.5,1
/i:500000
nadherna krajinka2
13
exp(1+cos(X*Y)*sin(X*X)*cos(Y*Y))+exp(1+cos(X*Y)*sin(X*X)*cos(Y*Y))
/bp:200,200,200
/bh:132,135,118
/bl:58,133,194
/bz:46,207,86
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-45,55
/I:500000
/view:2
/q:250,250
signum borgske krychle
10
sgn(sin(X*Y*ln(X*X+Y*Y)))
/bp:223,218,200
/bh:255,255,255
/bl:100,100,100
/bm:26,26,26
/XR:-10,10
/YR:-10,10
/ZR:-50,50
/I:600000
/view:1
nove akvizice
6
;arcsin(X*Y)*arccos(X*Y)
;arcsin(X)
tanh(arccos(X)*Y)
/bh:255,255,255
/bl:124,52,78
/bp:215,215,215
zkouska z 3. semestru
6
/l:X>0
/l:Y>0
/l:X^(1/4)+Y^(1/4)<1
/r:2,2,1
/i:20000
uhadnete hranice za 1M
3
/l:abs(Z)<(0.5)^0.5-(((2.5*cos(arctan(Y/X))-X)^2+(2.5*sin(arctan(Y/X))-Y)^2))
/r:6.5,6.5,6.5
kapicka voody
7
sin(((X)^2+(Y)^2)^0.5)/(1+(X^2+Y^2)^0.5)
/r:50,50,3
/i:400000
/bh:193,227,203
/bl:73,107,163
/bp:195,195,195
signum kapicky voody
10
sgn(sin(((X)^2+(Y)^2)^0.5)/(5+(X^2+Y^2)^0.5))
/bp:195,195,195
/bh:193,227,203
/bl:73,107,163
/bm:26,26,26
/XR:-25,25
/YR:-25,25
/ZR:-50,50
/I:400000
/view:1
divna vec
6
abs(X)^abs(X)*abs(Y)^abs(Y)
/r:5,5,10
/i:400000
/bh:0,155,0
/bl:255,255,90
/bp:215,215,215
nove akvizice3
5
arccot(abs(X*Y))
/i:500000
/bp:208,209,203
/bl:114,66,14
/bh:255,255,255
ostre kolecko
13
abs(Z)=sin(((X)^2+(Y)^2)^0.5)/(1+(X^2+Y^2)^0.5)
;X^2+Y^2<P^2
/bp:198,198,198
/bh:255,255,0
/bl:0,255,255
/bm:26,26,26
/XR:-3.5,3.5
/YR:-3.5,3.5
/ZR:-1.5,1.5
/I:200000
/view:2
/h:20,20,20
druha z bipol.sour.
11
arctanh(2*X/(X*X+Y*Y+1))
/bp:228,228,228
/bh:255,255,0
/bl:0,255,255
/bz:128,128,128
/bm:200,200,200
/XR:-2.5,2.5
/YR:-2.5,2.5
/ZR:-5,5
/I:500000
/view:1
vyficenost
9
arctanh(2*X/(X*X+Y*Y+1))+arctan(2*Y/(X*X+Y*Y-1))
/r:5,5,10
/bp:228,228,228
/bm:200,100,100
/bh:255,255,0
/bz:128,128,128
/bl:0,255,255
/i:500000
vyficenost2
13
;tip: zmackni "e" jako
; ekvipotencialni hladiny !
(arctanh(2*X/(X*X+Y*Y+1))+arctan(2*Y/(X*X+Y*Y-1)))/1000
/bp:198,198,198
/bh:255,255,0
/bl:0,255,255
/bm:200,100,100
/XR:-2.5,2.5
/YR:-2.5,2.5
/ZR:-5,5
/I:500000
/view:1
/a:t,0,0.1
spirala
12
;tip: stiskni "e" pro zobrazeni
; ekvipotencialnich hladin !
(arctan(Y/X)+(X^2+Y^2)^0.5)/100000
/bp:198,198,198
/bh:255,255,0
/bl:0,255,255
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:400000
/view:1
spirala2
14
;tip: stiskni "e" pro zobrazeni
; ekvipotencialnich hladin !
(arctan(Y/X)/6+(X^2+Y^2)^0.5)/100
(X*X+Y*Y)^0.5<5
/bp:255,255,255
/bh:180,57,253
/bl:0,255,255
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:400000
/view:1
/a:t,0,0.1
test potenc
13
1/(Z*Z+Y*Y+X*X)
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:10000
/pm:2
/top:1
/view:2
/a:t,0,0.1
potenc1
12
1/(Z*Z+Y*X)
/bp:100,100,100
/bh:250,250,250
/bl:200,200,200
/bm:26,26,26
/XR:-0.5,0.5
/YR:-0.5,0.5
/ZR:-0.5,0.5
/pm:2
/top:10000
/view:1
/a:t,0,0.1
potenc2
5
(Z*Z+Y*Y+X*X)^12
/r:1,1,1
/i:100000
/bl:240,240,240
/bp:128,128,128
potenc1test
12
1/(X^2)
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/pm:2
/top: 1.00000000000000E+0010
/view:1
/a:t,0,0.1
potenc - copa to jee?
6
/r:5,5,2
1/sin(X*Y*ln(X*X+Y*Y+Z*Z))
/bh:205,255,255
/bl:100,150,120
/i:100000
/bp:223,218,200
potenc - faraday
11
1/sin(X*Y*Z*ln(X*X+Y*Y+Z*Z))
/bp:203,198,180
/bh:100,150,120
/bl:100,150,120
/bm:240,240,240
/XR:-1.25,1.25
/YR:-1.25,1.25
/ZR:-1.25,1.25
/pm:2
/view:1
/a:t,0,0.1
potenc - jezek v kleci
11
1/sin(X*Y*Z*ln(X*X+Y*Y+Z*Z))
/bp:223,218,200
/bh:100,150,120
/bl:100,150,120
/bm:240,240,240
/XR:-2.5,2.5
/YR:-2.5,2.5
/ZR:-2.5,2.5
/pm:2
/view:1
/a:t,0,0.1
potencial kulovy
4
/pm:2
1/(Z*Z+Y*Y+X*X)
/i:100000
/m:10,0,0
potenc - faraday detail
11
1/sin(X*Y*Z*ln(X*X+Y*Y+Z*Z))
/bp:203,198,180
/bh:100,150,120
/bl:100,150,120
/bm:240,240,240
/XR:0.85,1.15
/YR:-0.15,0.15
/ZR:-0.15,0.15
/pm:2
/view:1
/a:t,0,0.1
tyvoe husty..
11
;diff(arcsin(sin(X^2+X*Y)),X)
cos(X^2+X*Y)*(2*X+Y)/((cos(X^2+X*Y)^2)^0.5)
/bp:198,198,198
/bh:255,255,0
/bl:0,255,255
/bm:26,26,26
/XR:-10,10
/YR:-10,10
/ZR:-10,10
/I:400000
/view:1
derivace kapicky voody
7
diff(sin((X*X+Y*Y)^0.5)/(1+(X*X+Y*Y)^0.5),X)
/r:50,50,3
/i:400000
/bh:193,227,203
/bl:73,107,163
/bp:195,195,195
pok zjednodusovani
3
diff(1/(1+4*X*(X+3*Y)^2),X)
;1/(1+4*X*(X+3*Y)^2)
;/bp:10,20,30
pok zjednodusovani2
1
diff(sin(ln(Y/X)),X)
limecek
6
sin(ln(Y/(X^2-5*Y)))
/r:20,20,15
/i:500000
/bh:160,70,72
/bl:70,20,18
/bp:200,206,198
KSFGA2
11
(-(8/5)*(1+5^(-0.5))*((5-5^0.5)^0.5))*((X-Z)*(cos(2*P/5)*X-sin(2*P/5)*Y-Z)*(cos(4*P/5)*X-sin(4*P/5)*Y-Z)*(cos(6*P/5)*X-sin(6*P/5)*Y-Z)*(cos(8*P/5)*X-sin(8*P/5)*Y-Z))+((1-(((5-5^0.5)^0.5)/2)*Z)*(X^2+Y^2-1+((1+3*(5^0.5))/4)*Z^2)^2)=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-10,10
/YR:-10,10
/ZR:-10,10
/view:2
/ni:10
/a:t,0,0.1
srdicko
13
(2*X^2+Y^2+Z^2-1)^3-(1/10)*X^2*Z^3-Y^2*Z^3=0
/bp:230,230,230
/bh:191,0,38
/bl:255,121,158
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/I:400000
/view:2
/h:30,30,30
/a:t,0,0.1
/cm:3
kleinova lahev
12
;doporucuji vypnout antialiasing car, v prohlizeci stisknout 'l' pro linky a prijit na to o co jde... ;)
(X^2+Y^2+Z^2+2*Y-1)*((X^2+Y^2+Z^2-2*Y-1)^2-8*Z^2)+16*X*Z*(X^2+Y^2+Z^2-2*Y-1)=0
/bp:249,249,249
/bh:0,0,0
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:400000
/view:2
/h:100,100,100
COSI2
12
(X^2+Y^2+Z^2-0.95*5^2)^2-0.8*((Z-5)^2-2*X^2)*((Z+5)^2-2*Y^2)=0
/bp:255,255,255
/bh:213,239,219
/bl:244,85,32
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:300000
/view:2
/ni:10
/a:t,0,0.1
KSFGA3
11
X^4+2*X^2*Z^2-0.36*X^2-Y^4+0.25*Y^2+Z^4=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1,1
/YR:-1,1
/ZR:-1,1
/view:2
/h:20,20,20
kapicka opravdu
9
0.5*X^5+0.5*X^4-(Y^2+Z^2)=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1,1
/YR:-1,1
/ZR:-1,1
/view:2
hladka kostka
12
X^4+Y^4+Z^4-(X^2+Y^2+Z^2)=0
/bp:226,226,226
/bh:169,171,84
/bl:241,241,228
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/I:500000
/view:2
/ni:15
/a:t,0,0.1
KSFGA5
12
Z^4-5*X^2+Y^4-5*Y^2+Z^4-5*Z^2+11.8=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:400000
/view:2
/ni:10
/a:t,0,0.1
limecek derivace
6
diff(sin(ln(Y/(X^2-5*Y))),X)
/r:20,20,15
/i:500000
/bh:160,70,72
/bl:70,20,18
/bp:200,206,198
Airyho funkce derivace
13
;1/(1+4*X/((1-X)*(1-X))*(sin(Y/2)*sin(Y/2)))
intn(diff(1/(1+4*n*(sin(Y/2)/(1-n))^2),n),n,0,X,50)
diff(1/(1+4*X*(sin(Y/2)/(1-X))^2),X)
/bp:255,255,255
/bh:230,255,255
/bl:90,120,120
/bm:26,26,26
/XR:0,0.6
/YR:-7.5,7.5
/ZR:-2.5,2.5
/I:500000
/view:2
/a:t,0,0.1
strange two derivace
6
diff(X^4+Y^4-X^2-Y^2-2*X*Y,X)
/r:8,8,8
/i:300000
/bh:193,227,203
/bl:73,107,163
/bp:195,195,195
vlneni
3
3*exp(-0.1*((X-12)^2+(Y-16)^2))^0.5*cos(((X-12)^2+(Y-16)^2)^0.5)+2*exp(-0.1*((X+16)^2+(Y+13)^2)^0.5)*cos(((X+16)^2+(Y+13)^2)^0.5+2)+3.5*exp(-0.1*((X-18)^2+(Y+7)^2)^0.5)*cos(((X-18)^2+(Y+7)^2)^0.5-1)
/R:100,100,100
/i:500000
spirala 2 derivace
15
;tip: stiskni "e" pro zobrazeni
; ekvipotencialnich hladin !
diff((arctan(Y/X)/2+(X^2+Y^2)^0.5),X)
;(-1.*Y*(X^2+Y^2)^(1/2)+X^3+X*Y^2)/(X^2+Y^2)^(3/2)
;0.1666666*(-Y*(X^2+Y^2)^0.5+6*X^3+6*X*Y^2)/(X^2+Y^2)^(3/2)
;/l:(X*X+Y*Y)^0.5<5
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:400000
/view:1
pok zjednodusovani 3
1
X*Y+X+Y+1
vyficenost derivovana
9
diff(arctanh(2*X/(X*X+Y*Y+1))+arctan(2*Y/(X*X+Y*Y-1)),X)
/r:5,5,10
/bp:228,228,228
/bm:200,100,100
/bh:255,255,0
/bz:128,128,128
/bl:0,255,255
/i:500000
treti vodmocnina der
10
diff((X^2+Y^2)^(1/3),X)
/bp:255,255,255
/bh:214,224,215
/bl:87,115,90
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:500000
/view:2
stojan na vajicko diff
14
;(X*X+Y*Y)*exp(-(X*X*Y*Y))
eval(diff(diff(diff((X^2+Y^2)*exp(-(X^2*Y^2)),X),X),X))
exp(-(X*Y)^2)*Y^2*X*(Y^2*(12*Y^2+X^2*((-2)*(4*(X^2+Y^2)*Y^2-10)+16))-24)
; 2.943035529371539E+000
/bp:255,255,255
/bh:128,0,128
/bl:255,128,255
/bm:26,26,26
/XR:-2,2
/YR:-2,2
/ZR:-20,20
/I:200000
/view:2
strange sinus barvicky
13
cosh(sin(X)+cos(Y)+cos(X-Y))*cosh(sin(1/(X^2*Y)))
/bp:200,200,200
/bh:132,135,118
/bl:58,133,194
/bz:46,207,86
/bm:26,26,26
/XR:-4,4
/YR:-4,4
/ZR:-10.5,14.5
/I:500000
/view:2
/q:200,200
pok zjednodusovani 4
4
(Y*sin(Y)/X+Y^2*sin(Y)*sin(X))/Y
/r:2,2,20
/i:300000
/bp:195,195,195
Airyho funkce derivace strange
14
;1/(1+4*X/((1-X)*(1-X))*(sin(Y/2)*sin(Y/2)))
diff(diff(diff(diff(1/(1+4*X*(sin(Y/2)/(1-X))^2),X),X),X),X)
/bp:255,255,255
/bh:230,255,255
/bl:4,27,104
/bm:26,26,26
/XR:0,0.6
/YR:-7.5,7.5
/ZR:-2500,2500
/I:50000
/opt:0
/view:2
/q:10,200
/a:t,0,0.1
pokusy
11
4*(((1+5^0.5)/2)^2*X^2-Y^2)*(((1+5^0.5)/2)^2*Y^2-Z^2)*(((1+5^0.5)/2)^2*Z^2-X^2)-(1+2*((1+5^0.5)/2))*(X^2+Y^2+Z^2-1)^2=0
;X^2+Y^2+Z^2<2
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/a:t,0,0.1
prace1
14
eval(2*X^2*Y^2+(X^2+Y^2+Z^2)*Z^2+(X^2+Y^2+Z^2)^2*(X^2+Z^2-A),Y=0)
(X^2+Z^2)*((X^2+Z^2)*(X^2+Z^2-A)+Z^2)=0
/bp:250,254,254
/bh:0,0,0
/bl:104,240,240
/bm:196,196,196
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/h:100,1,100
/a:A,1,0.1
/cm:2
prace2
11
2*X^2*Y^2+(X^2+Y^2+Z^2)*Z^2+(X^2+Y^2+Z^2)^2*((X*cos(t)+Z*sin(t))^2+(X*sin(t)+Z*cos(t))^2-1)=0
/bp:250,254,254
/bh:138,223,230
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/h:20,20,20
/a:t,0,0.1
prace2\3
12
2*X^2*Y^2+(X^2+Y^2+Z^2)*Z^2+(X^2+Y^2+Z^2)^2*((X*cos(t)+Z*sin(t))^2+(X*sin(t)+Z*cos(t))^2-1)=0
/bp:250,254,254
/bh:138,223,230
/bl:74,108,163
/bm:26,26,26
/XR:-15,15
/YR:-1.5,1.5
/ZR:-15,15
/view:2
/h:30,30,30
/a:t,0,0.1
clebsova kubika
11
81*(x^3+y^3+z^3)-189*(x^2*y+x^2*z+y^2*x+y^2*z+z^2*x+z^2*y)+54*(x*y*z)+126*(x*y+x*z+y*z)-9*(x^2+y^2+z^2)-9*(x+y+z)+1=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/ni:10
/a:t,0,0.1
vlneni pohyb
14
3*exp(-0.1*((X-12)^2+(Y-16)^2))^0.5*cos(((X-12)^2+(Y-16)^2)^0.5-t)+2*exp(-0.1*((X+16)^2+(Y+13)^2)^0.5)*cos(((X+16)^2+(Y+13)^2)^0.5-(t-2))+3.5*exp(-0.1*((X-18)^2+(Y+7)^2)^0.5)*cos(((X-18)^2+(Y+7)^2)^0.5-(t+1))
/bp:223,223,223
/bh:0,0,0
/bl:74,108,163
/bm:26,26,26
/XR:-30,30
/YR:-30,30
/ZR:-50,50
/I:500000
/view:2
/q:50,50
/a:t,0,1
hladka kostka rodi
14
X^4+Y^4+Z^4-(X^2+Y^2+Z^2)=t
/bp:255,255,255
/bh:68,55,15
/bl:217,184,85
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/I:500000
/top: 7.00000000000000E+0001
/view:2
/h:30,30,30
/ni:10
/a:t,0,0.1
vect field 1
13
vect(X*sin(t),Y*cos(t))
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/top: 7.00000000000000E+0001
/view:2
/h:100,100,1
/a:t,0,0.1
/ss: 8.00000011920929E-0001,10
vect field coulomb
17
coul := 1/(X^2+Y^2+Z^2)^0.5
vect(diff( coul,X),diff( coul,Y),diff( coul,Z))
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/pm:2
/top: 1.00000000000000E+0000
/view:2
/a:t,0,0.1
/pdiv:5
/sm:2
/sop: 1.00000000000000E+0000
/sdiv:5
vect field 2
13
vect(X*sin(t*Y),Y*cos(t*X))
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/h:100,100,1
/a:t,0.1,0.01
/sdiv:5
/sh:40,40,1
vect field 2 anim
10
vect(t*X*sin(t*Y),t*Y*cos(t*X))
/bp:255,255,255
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,0,0.01
potenc - faraday 2d
12
vect(diff( 1/sin(X*Y*ln(X*X+Y*Y)),X),diff( 1/sin(X*Y*ln(X*X+Y*Y)),Y))
;((diff(1/sin(X*Y*ln(X*X+Y*Y)),X))^2+(diff(1/sin(X*Y*ln(X*X+Y*Y)),Y))^2)^0.5
/bp:223,242,253
/bh:36,41,255
/bl:91,91,91
/bm:11,115,176
/XR:-1.25,1.25
/YR:-1.25,1.25
/ZR:-125,125
/view:2
/a:t,0,0.1
vect field 4
14
vect(X,Y,Z)
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/pm:2
/view:2
/a:t,0,0.1
/pdiv:5
/sm:2
/sdiv:5
isoplochy v akci
13
;vect(sin(X),cos(Y),Z)
((sin(X))^2+(cos(Y))^2+Z^2)^0.5
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/pm:2
/view:2
/a:t,0,0.1
/pdiv:5
vect field 2 anim2
14
vect(t*X*sin(t*Y),t*Y*cos(t*X))
/bp:255,255,255
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,1,0.01
/sm:2
/sdiv:5
/ss: 4.00000005960464E-0001,4
/sh:200,200,200
vect field 1 iso
16
vect(X*sin(t),Y*cos(t))
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/top: 7.00000000000000E+0001
/view:2
/h:100,100,1
/a:t,0,0.1
/sm:2
/sdiv:5
/ss: 8.00000011920929E-0001,10
/sh:100,100,40
potenc - faraday 2d2
16
vect(diff(1/sin(X*Y*ln(X*X+Y*Y)),X),diff(1/sin(X*Y*ln(X*X+Y*Y)),Y))
;((diff(1/sin(X*Y*ln(X*X+Y*Y)),X))^2+(diff(1/sin(X*Y*ln(X*X+Y*Y)),Y))^2)^0.5
/bp:223,242,253
/bh:36,41,255
/bl:91,91,91
/bm:11,115,176
/XR:-1.25,1.25
/YR:-1.25,1.25
/ZR:-125,125
/view:2
/a:t,0,0.1
/sm:2
/sop: 1.00000000000000E+0003
/sdiv:5
/ss: 5.00000000000000E-0001,6
/sh:100,100,40
vect field 3
15
vect(sin(t)+X*cos(t*Y),cos(t)+Y*sin(t*X))
;((sin(t)+X*cos(t*Y))^2+(cos(t)+Y*sin(t*X))^2)^0.5
/bp:255,255,255
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-10,10
/view:2
/a:t,1,0.01
/sm:2
/sdiv:5
/ss: 8.00000011920929E-0001,4
/sh:200,200,200
KSFGA3 animated
11
X^4+2*X^2*Z^2-0.36*X^2-Y^4+0.25*Y^2+Z^4=t
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1,1
/YR:-1,1
/ZR:-1,1
/view:2
/h:20,20,20
/a:t,0,0.01
clebsova kubika prunik s kouli
12
eval(81*(x^3+y^3+z^3)-189*(x^2*y+x^2*z+y^2*x+y^2*z+z^2*x+z^2*y)+54*(x*y*z)+126*(x*y+x*z+y*z)-9*(x^2+y^2+z^2)-9*(x+y+z)+1,x=X,y=Y,z=Z)
X*(X*(81*X-9-189*Y-189*Z)+Y*(54*Z+126)+126*Z-9)+Y*(Y*(81*Y-9-189*X-189*Z)+126*Z-9)+Z*(Z*(81*Z-9-189*X-189*Y)-9)+1=0
X^2+Y^2+Z^2-2=0
/bp:255,255,255
/bh:0,0,0
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/a:t,0,0.1
COSI2 prunik s kouli
12
(X^2+Y^2+Z^2-0.95*5^2)^2-0.8*((Z-5)^2-2*X^2)*((Z+5)^2-2*Y^2)=0
x*x+y*y+z*z-10=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:300000
/view:2
/a:t,0,0.1
prace1b
12
2*X^2*Y^2+(X^2+Y^2+Z^2)*Z^2+(X^2+Y^2+Z^2)^2*(X^2+Z^2-A)=0
Y=0
/bp:250,254,254
/bh:0,0,0
/bl:104,240,240
/bm:26,26,26
/XR:-1.5,1.5
/YR:-0.01,0.01
/ZR:-1.5,1.5
/view:2
/h:40,2,40
/a:A,1,0.01
intersection
11
-Z+X^2+Y^2=0
X+2=Z
/bp:255,255,255
/bh:21,238,233
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,0,0.1
KSFGA5 animated
12
Z^4-5*X^2+Y^4-5*Y^2+Z^4-5*Z^2+11.8=t
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/I:400000
/view:2
/h:20,20,20
/a:t,0,0.1
stojan na vajicko diff barvii
15
;(X*X+Y*Y)*exp(-(X*X*Y*Y))
eval(diff(diff(diff((X^2+Y^2)*exp(-(X^2*Y^2)),X),X),X))
exp(-(X*Y)^2)*Y^2*X*(Y^2*(12*Y^2+X^2*((-2)*(4*(X^2+Y^2)*Y^2-10)+16))-24)
; 2.943035529371539E+000
/bp:255,255,255
/bh:128,0,128
/bl:131,225,85
/bm:26,26,26
/XR:-2,2
/YR:-2,2
/ZR:-20,20
/I:200000
/view:2
/a:t,0,0.1
/cm:2
hladka kostka pok
12
X^4+Y^4+Z^4-(X^2+Y^2+Z^2)=0
/bp:226,226,226
/bh:169,171,84
/bl:174,149,70
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/I:500000
/view:2
/ni:15
/a:t,0,0.1
divna vec lightning
12
abs(X)^abs(X)*abs(Y)^abs(Y)
/bp:255,255,255
/bh:0,155,0
/bl:162,174,2
/bm:26,26,26
/XR:-2.5,2.5
/YR:-2.5,2.5
/ZR:-5,5
/I:400000
/view:2
/a:t,0,0.1
/cm:2
Polo₧ka Φφslo 1
13
1.5*((X+1.3)^2)+0.5*Y*Y+1.5*Z*Z-2=0
1.5*((X-1.3)^2)+0.5*Y*Y+1.5*Z*Z-2=0
/bp:223,223,223
/bh:213,239,219
/bl:168,108,108
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/ni:10
/a:t,0,0.1
/cm:3
potenc1 iso
13
1/(Z*Z+Y*X)
/bp:100,100,100
/bh:250,250,250
/bl:200,200,200
/bm:26,26,26
/XR:-0.5,0.5
/YR:-0.5,0.5
/ZR:-0.5,0.5
/pm:2
/top: 2.00000000000000E+0001
/view:2
/a:t,0,0.1
/pdiv:5
clebsova kubika pok
14
eval(81*(X^3+y^3+Z^3)-189*(X^2*Y+X^2*Z+Y^2*X+Y^2*z+z^2*x+z^2*y)+54*(x*y*z)+126*(x*y+x*z+y*z)-9*(x^2+y^2+z^2)-9*(x+y+z)+1, x=X,y=Y,z=Z)
X*(X*(81*X-9-189*Y-189*Z)+Y*(54*Z+126)+126*Z-9)+Y*(Y*(81*Y-9-189*X-189*Z)+126*Z-9)+Z*(Z*(81*Z-9-189*X-189*Y)-9)+1=0
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/h:40,40,40
/ni:10
/a:t,0,0.1
/cm:3
prace1c
11
2*X^2*Y^2+(X^2+Y^2+Z^2)*Z^2+(X^2+Y^2+Z^2)^2*(X^2+Z^2-A)=0
/bp:250,254,254
/bh:0,0,0
/bl:104,240,240
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/h:40,40,40
/a:A,1,0.1
prace3
13
eval(2*X^2*Y^2+(1-v)*(X^2+Y^2+Z^2)*Z^2+((1-v^2)/E)*(X^2+Y^2+Z^2)^2*(H*(X*cos(t)+Z*sin(t))^2+B*(X*sin(t)+Z*cos(t))^2+A),v=0.5,E=1,A=-1)
/bp:250,254,254
/bh:138,223,230
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/h:20,20,20
/a:t,0,0.1
prace3b
18
eval(2*X^2*Y^2+(1-v)*(X^2+Y^2+Z^2)*Z^2+((1-v^2)/E)*(X^2+Y^2+Z^2)^2*(H*(X*cos(t)+Z*sin(t))^2+B*(X*sin(t)+Z*cos(t))^2+A),v=0,E=1,A=-1)
eval(2*(X*Y)^2+(X^2+Y^2+Z^2)*((X^2+Y^2+Z^2)*(H*(X*cos(t)+Z*sin(t))^2+B*(X*sin(t)+Z*cos(t))^2-1)+Z^2),t=Pi/2,H=1)
2*(X*Y)^2+(X^2+Y^2+Z^2)*((X^2+Y^2+Z^2)*((X*cos(Pi/2)+Z*sin(Pi/2))^2+B*(X*sin(Pi/2)+Z*cos(Pi/2))^2-1)+Z^2)=0
/bp:250,254,254
/bh:138,223,230
/bl:74,108,163
/bm:26,26,26
/XR:-1.5,1.5
/YR:-1.5,1.5
/ZR:-1.5,1.5
/view:2
/h:20,20,20
/a:B,1,0.1
prace1 k squared
12
2*X*Y+((X^2+Y^2+Z^2)^0.5)*Z+(X^2+Y^2+Z^2)*(X+Z-A)=0
/bp:250,254,254
/bh:0,0,0
/bl:104,240,240
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/h:20,20,20
/a:A,0,1
/cm:3
prace1 k squared 2
12
2*X*Y+((X^2+Y^2+Z^2)^0.5)*Z+(X^2+Y^2+Z^2)*((X^0.5*cos(t)+Z^0.5*sin(t))^2+(X^0.5*sin(t)-Z^0.5*cos(t))^2-1)=0
/bp:250,254,254
/bh:0,0,0
/bl:104,240,240
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/opt:0
/view:2
/h:20,20,20
/a:t,0,0.1
divna vec 3
12
((Z)^2+(X-cos(X))^2+(Y-sin(Y))^2)^0.5-5=0
/bp:255,255,255
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/ni:20
/a:t,0,0.1
/cm:2
cutora
12
((Z)^2+(X-cos(X))^2+(Y-sin(Y))^2)^0.5-5=0
/bp:255,255,255
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-10,10
/YR:-10,10
/ZR:-10,10
/view:2
/ni:20
/a:t,0,0.1
/cm:2
divna vec 3 - animace, lol
12
((Z)^2+(X-cos(X))^2+(Y-sin(Y))^2)^0.5-5=t
/bp:255,255,255
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-10,10
/YR:-10,10
/ZR:-10,10
/view:2
/h:20,20,20
/ni:10
/a:t,0,0.1
plasma - intro mabinogi
13
cos(cos(X+3*t)+cos(X+Y)+sin(Y+4*t)+cos(2*t))+sin(sin(X)+cos(Y+4*t)+sin(t))
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-10,10
/opt:0
/view:2
/q:50,50
/a:t,0,0.1
plasma - intro mabinogi 2
12
((diff( cos(cos(X+3*t)+cos(X+Y)+sin(Y+4*t)+cos(2*t))+sin(sin(X)+cos(Y+4*t)+sin(t)),X))^2+(diff( cos(cos(X+3*t)+cos(X+Y)+sin(Y+4*t)+cos(2*t))+sin(sin(X)+cos(Y+4*t)+sin(t)),Y))^2)^0.5
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-10,10
/opt:0
/view:2
/q:50,50
/a:t,0,0.1
Airyho funkce derivace strange 2
15
g := 1/(1+4*X*(sin(Y/2)/(1-X))^2)
f(a):=diff(a,X)
f(f(f(f(f(g)))))
/bp:255,255,255
/bh:230,255,255
/bl:4,27,104
/bm:26,26,26
/XR:0,0.6
/YR:-7.5,7.5
/ZR:-2500,2500
/I:50000
/opt:0
/view:2
/q:10,200
/a:t,0,0.1
poksy s uzivfcema
19
f(a) := a*a
eval(f(x*y))
;g(b) := b*b*sin(b*3*Pi)
;f(b) := g(b*b)*b*g(2*b+1/b)
;eval(f(x))
;f(x/y)
;X^5*sin(X^2*3*Pi)*(2*X+1/X)^2*sin((2*X+1/X)*3*Pi)
;X^5*sin(X^2*3*Pi)*(2*X+1/X)^2*sin((2*X+1/X)*3*Pi)
;sin(X^2*3*Pi)*X*sin((2*X+1/X)*3*Pi)
;sin(X^2*3*Pi)*X*sin((2*X+1/X)*3*Pi)
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,0,0.1
User Defined Functions
15
g(a,b) := 1/(1+4*a*(sin(b/2)/(1-a))^2)
f(a):=diff(a,X)
f(f(f(f(g(X,Y)))))
/bp:255,255,255
/bh:230,255,255
/bl:4,27,104
/bm:26,26,26
/XR:0,0.6
/YR:-7.5,7.5
/ZR:-2500,2500
/I:50000
/opt:0
/view:2
/q:10,200
/a:t,0,0.1
User Defined Functions 2
13
sqrt(a) := a^0.5
sqr(a) := a*a
sqr(X+sqrt(sqr(X)+sqrt(Y)))
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,0,0.1
stojan na vajicko diff barvii2
16
f := (X*X+Y*Y)*exp(-(X*X*Y*Y))
g(a) := diff(a,X)
g(g(g(f)))
; 2.943035529371539E+000
/bp:255,255,255
/bh:128,0,128
/bl:131,225,85
/bm:26,26,26
/XR:-2,2
/YR:-2,2
/ZR:-20,20
/I:200000
/view:2
/a:t,0,0.1
/cm:2
Airyho funkce der_int
14
;1/(1+4*X/((1-X)*(1-X))*(sin(Y/2)*sin(Y/2)))
f(a) := diff(1/(1+4*a*(sin(Y/2)/(1-a))^2),a)
intn(f(n),n,0,X,50)
f(X)
/bp:255,255,255
/bh:230,255,255
/bl:90,120,120
/bm:26,26,26
/XR:0,0.6
/YR:-7.5,7.5
/ZR:-2.5,2.5
/I:500000
/view:2
/a:t,0,0.1
integral sinx/x
12
intn(sin(n)/n,n,0,X,500)
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:0,50
/YR:-5,5
/ZR:-5,5
/view:2
/q:200,1
/a:t,0,0.1
poksy s integraci
12
evaln(intn(sin(n)/n,n,0,1000,100000))
1.575237261045442E+000
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,0,0.1
bass0r
15
f := 2+(Z-2)*t
kuzel := X^2+Y^2-Z^2
eval(kuzel,Y=f)
X^2+f^2-Z^2=0
;kuzel=0
;Y=f
/bp:223,223,223
/bh:213,239,219
/bl:74,108,163
/bm:26,26,26
/XR:-5,5
/YR:-5,5
/ZR:-5,5
/view:2
/a:t,0,0.1
zkouska #1b
16
f := arctan(X*Y)-ln(1+X*X*Y*Y)
;-(X^2*Y^2+X*Y)
diff(f,X)
f
/bp:255,255,255
/bh:228,226,148
/bl:140,104,36
/bz:250,250,170
/bm:26,26,26
/XR:-4,4
/YR:-4,4
/ZR:-4,4
/I:300000
/view:2
/a:t,0,0.1
/cm:3