so they aren’t constrained by Python’s limitations. NumPy provides a specialized array type that is optimized to work with machine-native numerical types such as integers or floats.

It's possible to install Python and NumPy separately, however ... If you're familiar with matrix multiplication, notice that the two for-loops that compute the hidden node sum of products are just ...

Gommers added, "Really long-term I expect the NumPy 'execution engine' (i.e., the C and Python code that does the heavy lifting for fast array operations) to become less and less relevant ...