\textcolor{#ff0000} {f(z)=z^2 } \space  ,  \space  \space  \textcolor{#7c00ff} {f(z)= z^3}  \space  ,  \space  \space  \textcolor{#993300}{f(z)=  \frac {1}{z}}

Werner Knobloch, 2013

Sinuskurve

Urbilder

speed = 0

Komplexe Funktionen II

Bilder

c = 0.5 (slider from -5 to 5, step 0.1)
a = 0.3 (slider from -1 to 1, step 0.1)
xmax = 12 (slider from 5 to 15, step 1)
xmin: (-xmax)
t = 0.64 (slider from 0.1 to 5, step 0.01)
h = -2.3 (slider from -3 to 3, step 0.1)
s = Function((h * sin((t * x))), xmin, xmax)
b = -2.1800000000000006 (slider from -5 to 5, step 0.01)
m = 1.3 (slider from -5 to 5, step 0.01)
g = Function((m * x) + b, xmin, xmax)
p = Function((a * x^(2)) + c, xmin, xmax)
z_1 = Point(p)
z_2: z_1^(2)
z_3: z_1^(3)
z_4 = Point(s)
z_5: z_4^(2)
z_6: ((z_4 * z_4) * z_4)
Ortslinie1 = Locus(z_5, z_4)
Ortslinie2 = Locus(z_6, z_4)
Ortslinie3 = Locus(z_3, z_1)
Ortslinie4 = Locus(z_2, z_1)
z_7 = Point(g)
z_8: z_7^(2)
z_{10}: z_7^(3)
Ortslinie5 = Locus(z_8, z_7)
Ortslinie6 = Locus(z_{10}, z_7)
Parabel = true
Sinus = true
Gerade = true
speed = 0 (slider from -1 to 1, step 0.01)
z_9: 1 / z_1
Ortslinie7 = Locus(z_9, z_1)
z_{12}: 1 / z_4
Ortslinie8 = Locus(z_{12}, z_4)
z_{11}: 1 / z_7
Ortslinie9 = Locus(z_{11}, z_7)
f1 = true
f2 = true
f3 = true
Text4 = LaTeX(g, true, true)
Text5 = LaTeX(s, true, true)
Text6 = LaTeX(p, true, true)