<｜begin▁of▁sentence｜>### Instruction:
Given the necessity to approximate the machine epsilon (the smallest number that, when added to 1, yields a different number) for double precision floating point numbers in a computer's arithmetic system, can you write a Python code snippet using numpy that calculates and displays this value?
### Response:
import numpy as np

# Approximate the machine epsilon for doubles
double_epsilon = np.finfo(float).eps
print('Machine epsilon for double precision floating point:', double_epsilon)
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