Färbung a/b

sichtbar y

x

Input:

sichtbar x

Oberfläche

1. Oberfläche:

- Aufbau

- Löschen

2. Kurvengitter:

$\scalebox{1.4} \text{\copyright Roman Chijner, Heidelberg 2012}$   
$\scalebox{1.3} \text{     Gestaltungshilfe: Werner Knobloch}$   

II←

→II

►

◄

►

x_{min}=:

x_{max}=:

y_{min}=:

y_{max}=:

f1(x,y)=:

:

- nicht zugänglich in dieser GG5-Beta

10sin(x) sin(y)

3D-Kurvenschichtung

Funktionen von  1  bis  34:

l: {" 1.   f1(x,y)", " 2.  f(x,y) =  0.3 x y", " 3.   f(x,y) =  0.2 (x² + y²)", " 4.   f(x,y) =  0.2 (x² - y²)", " 5.   f(x,y) =  0.04 (x² + 1) (y² + 1)", " 6.   f(x,y) =  0.05 (x y³ - y x³)", " 7.   f(x,y) =  0.5 (x + y)² / (y - 2)", " 8.   f(x,y) =  4 (x+0.3) (y ) / ((x +0.3)² + (y)² +0.2)²", " 9.   f(x,y) =  0.2 abs(x) abs(y)", "10.   f(x,y) =   0.5 sqrt(x² + y²)", "11.   f(x,y) =  sqrt(9 - x² - y²)", "12.   f(x,y) =  0.3 sqrt(x² + y² + 1) ln(sqrt(x² + y²))", "13.   f(x,y) =  abs(x y) ℯ^(-abs(x y))", "14.   f(x,y) =  10 sqrt(x² + y²) ℯ^(-x² - y²)", "15.   f(x,y) =  20 abs(x y) ℯ^(-x² - y²)", "16.   f(x,y) = 0.4 y² ℯ^(-x²)", "17.   f(x,y) =  2 y² ℯ^(-x²) ℯ^(-sqrt(x² + y²))", "18.    f(x,y) = 0.5 sin(2x² + 2y²)", "19.   f(x,y) =  cos(x y)", "20.   f(x,y) =  sin(0.2x² y²)", "21.   f(x,y) =  cos(x² - y²)", "22.   f(x,y) =  sin(sqrt(x² + y²))", "23.   f(x,y) =  0.2 (x sin(3y) + y sin(3x))", "24.   f(x,y) =  0.12 (x² sin(3y) + y² sin(3x))", "25.   f(x,y) =   0.3 (y² - x²) sin(x y)", "26.   f(x,y) =  20 sinc(6x) sinc(6y)", "27.   f(x,y) =  2 sinc(3x y)", "28.   f(x,y) =  0.6 (x sinc(10y) + y sinc(10x))", "29.   f(x,y) =  1.4 x y sinc(2x y)", "30.   f(x,y) =  1.4 sinc(2x² + 2y²)", "31.   f(x,y) =  2 ℯ^(-1.5 x²) sin(y²)", "32.   f(x,y) =  0.14 (2^(0.5 (y² - x²))) sin(0.5x y)", "33.   f(x,y) =  acos(cos(x) + cos(y)) - 1", "34.   f(x,y) =  sqrt(x x + y y) + 0.6 cos(5sqrt(x x + y y)) - 2"}
Funktion = 1 (slider from 1 to 34, step 1)
ε = 0.05 (slider from 0 to 0.1, step 0.01)
x0(x) = If[abs(x) ≤ ε, ε,x]
g00r(x, y) = (2 * ℯ^((-x^(2)) - y^(2)))
x0_{min} = -3.2 (slider from -15 to 15, step 0.1)
x0_{max} = 3.2 (slider from -15 to 15, step 0.01)
y0_{min} = -3.2 (slider from -15 to 15, step 0.01)
y0_{max} = 3.2 (slider from -15 to 15, step 0.1)
Farbe = false
by = true
Th = 1 (slider from 1 to 13, step 1)
bx = true
a = true
NN = 50 (slider from 1 to 500, step 10)
lFr: {g00r(x, y), ((0.3 * x) * y), (0.2 * (x^(2) + y^(2))), (0.2 * (x^(2) - y^(2))), ((0.04 * (x^(2) + 1)) * (y^(2) + 1)), (0.05 * ((x * y^(3)) - (y * x^(3)))), g00r(x, y), ((4 * (x + 0.3)) * y / ((x + 0.3)^(2) + y^(2) + 0.2)^(2)), ((0.2 * abs(x)) * abs(y)), (0.5 * sqrt(x^(2) + y^(2))), g00r(x, y), g00r(x, y), (abs((x * y)) * ℯ^((-abs((x * y))))), ((10 * sqrt(x^(2) + y^(2))) * ℯ^((-x^(2)) - y^(2))), ((20 * abs((x * y))) * ℯ^((-x^(2)) - y^(2))), ((0.4 * y^(2)) * ℯ^((-x^(2)))), (((2 * y^(2)) * ℯ^((-x^(2)))) * ℯ^((-sqrt(x^(2) + y^(2))))), (0.5 * sin((2 * x^(2)) + (2 * y^(2)))), cos((x * y)), sin(((0.2 * x^(2)) * y^(2))), cos(x^(2) - y^(2)), sin(sqrt(x^(2) + y^(2))), (0.2 * ((x * sin((3 * y))) + (y * sin((3 * x))))), (0.12 * ((x^(2) * sin((3 * y))) + (y^(2) * sin((3 * x))))), ((0.3 * (y^(2) - x^(2))) * sin((x * y))), g00r(x, y), g00r(x, y), g00r(x, y), g00r(x, y), g00r(x, y), ((2 * ℯ^(((-1.5) * x^(2)))) * sin(y^(2))), ((0.14 * 2^((0.5 * (y^(2) - x^(2))))) * sin(((0.5 * x) * y))), g00r(x, y), sqrt((x * x) + (y * y)) + (0.6 * cos((5 * sqrt((x * x) + (y * y))))) - 2}
fxx = Element(lFr, Funktion)
inputBox1 = Textfield(x0_{min})
inputBox2 = Textfield(x0_{max})
inputBox3 = Textfield(y0_{min})
inputBox4 = Textfield(y0_{max})
inputBox5 = Textfield(g00r)
Textfeld1 = Textfield(Funktion)
"f(x,y)=" + fxx + "": "f(x,y)=" + (LaTeX[fxx]) + ""
f0 = Function(fxx(a, b), a, x0_{min}, x0_{max}, b, y0_{min}, y0_{max})
Rot = 0.4 (slider from 0 to 1, step 0.1)
Grün = 0.6 (slider from 0 to 1, step 0.1)
Blau = 0.1 (slider from 0 to 1, step 0.1)
A = (-4.117509627727865, 2.860637254901959)
Deckkraft = 1 (slider from 0 to 1, step 0.1)
text9: "" + (LaTeX[Funktion]) + ".\;f(x,y)=" + (LaTeX[fxx]) + ""
jh = true
sinc(x) = If[x ≟ 0, 1,sin(x) / x]
Text4 = Element(l, Funktion)
Tinfo1 = Element(l, Funktion)
M4_{1} = CurveCartesian(t, -3.2, fxx(t, (-3.2)), t, x0_{min}, x0_{max})
M5_{1} = CurveCartesian(-3.2, t, fxx((-3.2), t), t, y0_{min}, y0_{max})
M4_{2} = CurveCartesian(t, -3.072, fxx(t, (-3.072)), t, x0_{min}, x0_{max})
M5_{2} = CurveCartesian(-3.072, t, fxx((-3.072), t), t, y0_{min}, y0_{max})
M4_{3} = CurveCartesian(t, -2.944, fxx(t, (-2.944)), t, x0_{min}, x0_{max})
M5_{3} = CurveCartesian(-2.944, t, fxx((-2.944), t), t, y0_{min}, y0_{max})
M4_{4} = CurveCartesian(t, -2.8160000000000003, fxx(t, (-2.8160000000000003)), t, x0_{min}, x0_{max})
M5_{4} = CurveCartesian(-2.8160000000000003, t, fxx((-2.8160000000000003), t), t, y0_{min}, y0_{max})
M4_{5} = CurveCartesian(t, -2.688, fxx(t, (-2.688)), t, x0_{min}, x0_{max})
M5_{5} = CurveCartesian(-2.688, t, fxx((-2.688), t), t, y0_{min}, y0_{max})
M4_{6} = CurveCartesian(t, -2.56, fxx(t, (-2.56)), t, x0_{min}, x0_{max})
M5_{6} = CurveCartesian(-2.56, t, fxx((-2.56), t), t, y0_{min}, y0_{max})
M4_{7} = CurveCartesian(t, -2.4320000000000004, fxx(t, (-2.4320000000000004)), t, x0_{min}, x0_{max})
M5_{7} = CurveCartesian(-2.4320000000000004, t, fxx((-2.4320000000000004), t), t, y0_{min}, y0_{max})
M4_{8} = CurveCartesian(t, -2.3040000000000003, fxx(t, (-2.3040000000000003)), t, x0_{min}, x0_{max})
M5_{8} = CurveCartesian(-2.3040000000000003, t, fxx((-2.3040000000000003), t), t, y0_{min}, y0_{max})
M4_{9} = CurveCartesian(t, -2.176, fxx(t, (-2.176)), t, x0_{min}, x0_{max})
M5_{9} = CurveCartesian(-2.176, t, fxx((-2.176), t), t, y0_{min}, y0_{max})
M4_{10} = CurveCartesian(t, -2.048, fxx(t, (-2.048)), t, x0_{min}, x0_{max})
M5_{10} = CurveCartesian(-2.048, t, fxx((-2.048), t), t, y0_{min}, y0_{max})
M4_{11} = CurveCartesian(t, -1.9200000000000002, fxx(t, (-1.9200000000000002)), t, x0_{min}, x0_{max})
M5_{11} = CurveCartesian(-1.9200000000000002, t, fxx((-1.9200000000000002), t), t, y0_{min}, y0_{max})
M4_{12} = CurveCartesian(t, -1.7920000000000003, fxx(t, (-1.7920000000000003)), t, x0_{min}, x0_{max})
M5_{12} = CurveCartesian(-1.7920000000000003, t, fxx((-1.7920000000000003), t), t, y0_{min}, y0_{max})
M4_{13} = CurveCartesian(t, -1.6640000000000001, fxx(t, (-1.6640000000000001)), t, x0_{min}, x0_{max})
M5_{13} = CurveCartesian(-1.6640000000000001, t, fxx((-1.6640000000000001), t), t, y0_{min}, y0_{max})
M4_{14} = CurveCartesian(t, -1.536, fxx(t, (-1.536)), t, x0_{min}, x0_{max})
M5_{14} = CurveCartesian(-1.536, t, fxx((-1.536), t), t, y0_{min}, y0_{max})
M4_{15} = CurveCartesian(t, -1.4080000000000001, fxx(t, (-1.4080000000000001)), t, x0_{min}, x0_{max})
M5_{15} = CurveCartesian(-1.4080000000000001, t, fxx((-1.4080000000000001), t), t, y0_{min}, y0_{max})
M4_{16} = CurveCartesian(t, -1.2800000000000002, fxx(t, (-1.2800000000000002)), t, x0_{min}, x0_{max})
M5_{16} = CurveCartesian(-1.2800000000000002, t, fxx((-1.2800000000000002), t), t, y0_{min}, y0_{max})
M4_{17} = CurveCartesian(t, -1.1520000000000001, fxx(t, (-1.1520000000000001)), t, x0_{min}, x0_{max})
M5_{17} = CurveCartesian(-1.1520000000000001, t, fxx((-1.1520000000000001), t), t, y0_{min}, y0_{max})
M4_{18} = CurveCartesian(t, -1.024, fxx(t, (-1.024)), t, x0_{min}, x0_{max})
M5_{18} = CurveCartesian(-1.024, t, fxx((-1.024), t), t, y0_{min}, y0_{max})
M4_{19} = CurveCartesian(t, -0.8959999999999999, fxx(t, (-0.8959999999999999)), t, x0_{min}, x0_{max})
M5_{19} = CurveCartesian(-0.8959999999999999, t, fxx((-0.8959999999999999), t), t, y0_{min}, y0_{max})
M4_{20} = CurveCartesian(t, -0.7680000000000002, fxx(t, (-0.7680000000000002)), t, x0_{min}, x0_{max})
M5_{20} = CurveCartesian(-0.7680000000000002, t, fxx((-0.7680000000000002), t), t, y0_{min}, y0_{max})
M4_{21} = CurveCartesian(t, -0.6400000000000001, fxx(t, (-0.6400000000000001)), t, x0_{min}, x0_{max})
M5_{21} = CurveCartesian(-0.6400000000000001, t, fxx((-0.6400000000000001), t), t, y0_{min}, y0_{max})
M4_{22} = CurveCartesian(t, -0.512, fxx(t, (-0.512)), t, x0_{min}, x0_{max})
M5_{22} = CurveCartesian(-0.512, t, fxx((-0.512), t), t, y0_{min}, y0_{max})
M4_{23} = CurveCartesian(t, -0.38400000000000034, fxx(t, (-0.38400000000000034)), t, x0_{min}, x0_{max})
M5_{23} = CurveCartesian(-0.38400000000000034, t, fxx((-0.38400000000000034), t), t, y0_{min}, y0_{max})
M4_{24} = CurveCartesian(t, -0.2560000000000002, fxx(t, (-0.2560000000000002)), t, x0_{min}, x0_{max})
M5_{24} = CurveCartesian(-0.2560000000000002, t, fxx((-0.2560000000000002), t), t, y0_{min}, y0_{max})
M4_{25} = CurveCartesian(t, -0.1280000000000001, fxx(t, (-0.1280000000000001)), t, x0_{min}, x0_{max})
M5_{25} = CurveCartesian(-0.1280000000000001, t, fxx((-0.1280000000000001), t), t, y0_{min}, y0_{max})
M4_{26} = CurveCartesian(t, 0, fxx(t, 0), t, x0_{min}, x0_{max})
M5_{26} = CurveCartesian(0, t, fxx(0, t), t, y0_{min}, y0_{max})
M4_{27} = CurveCartesian(t, 0.1280000000000001, fxx(t, 0.1280000000000001), t, x0_{min}, x0_{max})
M5_{27} = CurveCartesian(0.1280000000000001, t, fxx(0.1280000000000001, t), t, y0_{min}, y0_{max})
M4_{28} = CurveCartesian(t, 0.2559999999999998, fxx(t, 0.2559999999999998), t, x0_{min}, x0_{max})
M5_{28} = CurveCartesian(0.2559999999999998, t, fxx(0.2559999999999998, t), t, y0_{min}, y0_{max})
M4_{29} = CurveCartesian(t, 0.3839999999999999, fxx(t, 0.3839999999999999), t, x0_{min}, x0_{max})
M5_{29} = CurveCartesian(0.3839999999999999, t, fxx(0.3839999999999999, t), t, y0_{min}, y0_{max})
M4_{30} = CurveCartesian(t, 0.512, fxx(t, 0.512), t, x0_{min}, x0_{max})
M5_{30} = CurveCartesian(0.512, t, fxx(0.512, t), t, y0_{min}, y0_{max})
M4_{31} = CurveCartesian(t, 0.6399999999999997, fxx(t, 0.6399999999999997), t, x0_{min}, x0_{max})
M5_{31} = CurveCartesian(0.6399999999999997, t, fxx(0.6399999999999997, t), t, y0_{min}, y0_{max})
M4_{32} = CurveCartesian(t, 0.7679999999999998, fxx(t, 0.7679999999999998), t, x0_{min}, x0_{max})
M5_{32} = CurveCartesian(0.7679999999999998, t, fxx(0.7679999999999998, t), t, y0_{min}, y0_{max})
M4_{33} = CurveCartesian(t, 0.8959999999999999, fxx(t, 0.8959999999999999), t, x0_{min}, x0_{max})
M5_{33} = CurveCartesian(0.8959999999999999, t, fxx(0.8959999999999999, t), t, y0_{min}, y0_{max})
M4_{34} = CurveCartesian(t, 1.024, fxx(t, 1.024), t, x0_{min}, x0_{max})
M5_{34} = CurveCartesian(1.024, t, fxx(1.024, t), t, y0_{min}, y0_{max})
M4_{35} = CurveCartesian(t, 1.1520000000000001, fxx(t, 1.1520000000000001), t, x0_{min}, x0_{max})
M5_{35} = CurveCartesian(1.1520000000000001, t, fxx(1.1520000000000001, t), t, y0_{min}, y0_{max})
M4_{36} = CurveCartesian(t, 1.2800000000000002, fxx(t, 1.2800000000000002), t, x0_{min}, x0_{max})
M5_{36} = CurveCartesian(1.2800000000000002, t, fxx(1.2800000000000002, t), t, y0_{min}, y0_{max})
M4_{37} = CurveCartesian(t, 1.4080000000000004, fxx(t, 1.4080000000000004), t, x0_{min}, x0_{max})
M5_{37} = CurveCartesian(1.4080000000000004, t, fxx(1.4080000000000004, t), t, y0_{min}, y0_{max})
M4_{38} = CurveCartesian(t, 1.5359999999999996, fxx(t, 1.5359999999999996), t, x0_{min}, x0_{max})
M5_{38} = CurveCartesian(1.5359999999999996, t, fxx(1.5359999999999996, t), t, y0_{min}, y0_{max})
M4_{39} = CurveCartesian(t, 1.6639999999999997, fxx(t, 1.6639999999999997), t, x0_{min}, x0_{max})
M5_{39} = CurveCartesian(1.6639999999999997, t, fxx(1.6639999999999997, t), t, y0_{min}, y0_{max})
M4_{40} = CurveCartesian(t, 1.7919999999999998, fxx(t, 1.7919999999999998), t, x0_{min}, x0_{max})
M5_{40} = CurveCartesian(1.7919999999999998, t, fxx(1.7919999999999998, t), t, y0_{min}, y0_{max})
M4_{41} = CurveCartesian(t, 1.92, fxx(t, 1.92), t, x0_{min}, x0_{max})
M5_{41} = CurveCartesian(1.92, t, fxx(1.92, t), t, y0_{min}, y0_{max})
M4_{42} = CurveCartesian(t, 2.048, fxx(t, 2.048), t, x0_{min}, x0_{max})
M5_{42} = CurveCartesian(2.048, t, fxx(2.048, t), t, y0_{min}, y0_{max})
M4_{43} = CurveCartesian(t, 2.176, fxx(t, 2.176), t, x0_{min}, x0_{max})
M5_{43} = CurveCartesian(2.176, t, fxx(2.176, t), t, y0_{min}, y0_{max})
M4_{44} = CurveCartesian(t, 2.3040000000000003, fxx(t, 2.3040000000000003), t, x0_{min}, x0_{max})
M5_{44} = CurveCartesian(2.3040000000000003, t, fxx(2.3040000000000003, t), t, y0_{min}, y0_{max})
M4_{45} = CurveCartesian(t, 2.4319999999999995, fxx(t, 2.4319999999999995), t, x0_{min}, x0_{max})
M5_{45} = CurveCartesian(2.4319999999999995, t, fxx(2.4319999999999995, t), t, y0_{min}, y0_{max})
M4_{46} = CurveCartesian(t, 2.5599999999999996, fxx(t, 2.5599999999999996), t, x0_{min}, x0_{max})
M5_{46} = CurveCartesian(2.5599999999999996, t, fxx(2.5599999999999996, t), t, y0_{min}, y0_{max})
M4_{47} = CurveCartesian(t, 2.6879999999999997, fxx(t, 2.6879999999999997), t, x0_{min}, x0_{max})
M5_{47} = CurveCartesian(2.6879999999999997, t, fxx(2.6879999999999997, t), t, y0_{min}, y0_{max})
M4_{48} = CurveCartesian(t, 2.816, fxx(t, 2.816), t, x0_{min}, x0_{max})
M5_{48} = CurveCartesian(2.816, t, fxx(2.816, t), t, y0_{min}, y0_{max})
M4_{49} = CurveCartesian(t, 2.944, fxx(t, 2.944), t, x0_{min}, x0_{max})
M5_{49} = CurveCartesian(2.944, t, fxx(2.944, t), t, y0_{min}, y0_{max})
M4_{50} = CurveCartesian(t, 3.072, fxx(t, 3.072), t, x0_{min}, x0_{max})
M5_{50} = CurveCartesian(3.072, t, fxx(3.072, t), t, y0_{min}, y0_{max})
M4_{51} = CurveCartesian(t, 3.2, fxx(t, 3.2), t, x0_{min}, x0_{max})
M5_{51} = CurveCartesian(3.2, t, fxx(3.2, t), t, y0_{min}, y0_{max})