Derivatives of delta
Question:
I want to calculate E by this equation. But I am not sure if I can obtain results with numpy.diff module. It exports 4 points only.
from numpy import diff
x = [395.33, 472.12, 560.45, 652.72, 732.55]
y = [0.17, 0.22, 0.28, 0.34, 0.41]
E = diff(y) / diff(x)
print(E)
Output:
[0.00065113 0.00067927 0.00065027 0.00087686]
Answers:
It is expected that the derivative is computed only on the intermediates segments between successive points, thus having one less value than the number of points.
What you expect is unclear, do you want to compute the gradient?
import numpy as np
E = np.gradient(y, x)
Output:
array([0.00065113, 0.00066422, 0.00066508, 0.00077175, 0.00087686])
Differences between diff and gradient:
More complex example:
Observe how the green curve is exactly the derivative of each segment (=slope), while the gradient is smoother (depends on points before and after)
I want to calculate E by this equation. But I am not sure if I can obtain results with numpy.diff module. It exports 4 points only.
from numpy import diff
x = [395.33, 472.12, 560.45, 652.72, 732.55]
y = [0.17, 0.22, 0.28, 0.34, 0.41]
E = diff(y) / diff(x)
print(E)
Output:
[0.00065113 0.00067927 0.00065027 0.00087686]
It is expected that the derivative is computed only on the intermediates segments between successive points, thus having one less value than the number of points.
What you expect is unclear, do you want to compute the gradient?
import numpy as np
E = np.gradient(y, x)
Output:
array([0.00065113, 0.00066422, 0.00066508, 0.00077175, 0.00087686])
Differences between diff and gradient:
More complex example:
Observe how the green curve is exactly the derivative of each segment (=slope), while the gradient is smoother (depends on points before and after)