Hallo 👋

Diese Domain dient derzeit ausschließlich zum Betrieb eines Mailservers.

Panorama mit Teide, Teneriffa
Panorama mit Teide, Teneriffa

Hier ein Integral:

∫0∞cos⁡2(x)e−xdx=35.\int_0^\infty \cos^2(x) e^{-x} dx = \frac{3}{5}.
 1#!/usr/bin/env python3
 2import numpy as np
 3import matplotlib.pyplot as plt
 4
 5def mandelbrot_smooth(c, max_iter):
 6    z = np.zeros_like(c, dtype=np.complex128)
 7    div_time = np.zeros(c.shape, dtype=float)
 8    m = np.full(c.shape, True, dtype=bool)
 9
10    for i in range(max_iter):
11        z[m] = z[m] * z[m] + c[m]
12        m_new = np.abs(z) < 1000
13        div_time[m & ~m_new] = i - np.log2(np.log(np.abs(z[m & ~m_new]) + 1e-10))
14        m = m_new
15
16    div_time[div_time == 0] = max_iter
17    return div_time
18
19# Define the domain and resolution
20w, h = 1200, 800
21re = np.linspace(-2.5, 1.5, w)
22im = np.linspace(-1.5, 1.5, h)
23re, im = np.meshgrid(re, im)
24c = re + 1j * im
25
26# Generate the Mandelbrot image
27image = mandelbrot_smooth(c, max_iter=200)
28
29# Plot it with beautiful coloring
30plt.figure(figsize=(10, 8))
31plt.imshow(image, cmap='twilight_shifted', extent=[-2.5, 1.5, -1.5, 1.5], origin='lower')
32plt.axis('off')
33plt.title("Mandelbrot Set", fontsize=16)
34plt.tight_layout()
35plt.show()