One little point here:

 
  * np.ndarray.cumprod: low importance -> prefer np.multiply.accumulate

I think that's and example of something that *should* be part of the numpy API, but should be implemented as a mixin, based on np.multiply.accumulate.

As I'm a still confused about the goal here, that means that:

Users should still use `.cumprod`, but implementers of numpy-like packages should implement `.multiply.accumulate`, and not directly `cumprod`, but rather use the numpy ABC, or however it is implemented.

-CHB

-- 

Christopher Barker, Ph.D.
Oceanographer

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