Python 3.6.9 : My colab tutorials - parts 006 - 007.

This tutorial is called: My colab tutorials - parts 006 - 007.
The only reason for synchronization with the source code from my GitHub account on the Colab project.
I like collab more and more because I can quickly test the source code.
The example is taken from here and adapted to work on Colab and the new version of numba
Here is a simple example with the python numba package to creat that Mandelbrot fractal set.

import numba
from numba import jit

@jit
def mandel(x, y, max_iters):
  """
    Given the real and imaginary parts of a complex number,
    determine if it is a candidate for membership in the Mandelbrot
    set given a fixed number of iterations.
  """
  c = complex(x, y)
  z = 0.0j
  for i in range(max_iters):
    z = z*z + c
    if (z.real*z.real + z.imag*z.imag) >= 4:
      return i

  return max_iters

@jit
def create_fractal(min_x, max_x, min_y, max_y, image, iters):
  height = image.shape[0]
  width = image.shape[1]

  pixel_size_x = (max_x - min_x) / width
  pixel_size_y = (max_y - min_y) / height
    
  for x in range(width):
    real = min_x + x * pixel_size_x
    for y in range(height):
      imag = min_y + y * pixel_size_y
      color = mandel(real, imag, iters)
      image[y, x] = color

image = np.zeros((1024, 1536), dtype = np.uint8)
start = timer()
create_fractal(-2.0, 1.0, -1.0, 1.0, image, 20) 
dt = timer() - start

print ("Mandelbrot created in %f s" % dt)
imshow(image)
show()