some examples of list simm in action

# define square shape:
def square_fn(centre,width,height,x):
  if (centre - width/2) <= x <= (centre + width/2):
    return height
  return 0

# define bell curve:
def bell_fn(centre,width,height,x):
  return height*math.exp(- (x - centre)**2/2*width)

# define Euclidean Distance function:
def ED(f,g):
  if len(f) != len(g):
    print("different length vectors!")
    return 0
  return math.sqrt(sum((f[k] - g[k])**2 for k in range(len(f))))

# define Guassian simm:
# guassian-simm(s,f,g) = exp(-||f - g||^2/2s)
def gauss_simm(s,f,g):
  return math.exp(-ED(f,g)**2/2*s)

# print out the results:
f = [square_fn(15,20,10,k) for k in range(100)]
g = [bell_fn(15,0.01,10,k) for k in range(100)]
print("Gauss simm:",round(gauss_simm(0.001,f,g),4))
print("simm:",round(list_simm([1],f,g),4))
print("scaled simm:",round(rescaled_list_simm([1],f,g),4))