Hi Sebastian,

> That looks nice, I don't have a clear feeling on the order of items, if
> we think of it in terms of `(start, stop)` there was also the idea
> voiced to simply add another name in which case you would allow start
> and stop to be separate arrays.

Yes, one could add another method.  Or perhaps even add a new argument
to `.reduce` instead (say `slices`).  But this seemed the simplest
route...

> Of course if go with your `slice(start, stop)` idea that also works,
> although passing as separate parameters seems nice too.
> 
> Adding another name (if we can think of one at least) seems pretty good
> to me, since I suspect we would add docs to suggest not using
> `reduceat`.

If we'd want to, even with the present PR it would be possible to (very
slowly) deprecate the use of a list of single integers.  But I'm trying
to go with just making the existing method more useful.

> One small thing about the PR: I would like to distinct `default` and
> `initial`.  I.e. the default value is used only for empty reductions,
> while the initial value should be always used (unless you would pass
> both, which we don't for normal reductions though).
> I suppose the machinery isn't quite set up to do both side-by-side.

I just followed what is done for reduce, where a default could also have
made sense given that `where` can exclude all inputs along a given row.
I'm not convinced it would be necessary to have both, though it would
not be hard to add.

All the best,

Marten
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