What do we call this (new?) higher-order function?

Question

I am trying to name what I think is a new idea for a higher-order function. To the important part, here is the code in Python and Haskell to demonstrate the concept, which will

Answer 1

In Python the meld equivalent is in the itertools receipes and called pairwise.

from itertools import starmap, izp, tee

def pairwise(iterable):
    "s -> (s0,s1), (s1,s2), (s2, s3), ..."
    a, b = tee(iterable)
    next(b, None)
    return izip(a, b)

So I would call it:

def pairwith(func, seq):
    return starmap(func, pairwise(seq))

I think this makes sense because when you call it with the identity function, it simply returns pairs.