Elegant way to perform tuple arithmetic

If you're looking for fast, you can use numpy:

>>> import numpy
>>> numpy.subtract((10, 10), (4, 4))
array([6, 6])

and if you want to keep it in a tuple:

>>> tuple(numpy.subtract((10, 10), (4, 4)))
(6, 6)

Use zip and a generator expression:

c = tuple(x-y for x, y in zip(a, b))

Demo:

>>> a = (10, 10)
>>> b = (4, 4)
>>> c = tuple(x-y for x, y in zip(a, b))
>>> c
(6, 6)

Use itertools.izip for a memory efficient solution.

help on zip:

>>> print zip.__doc__
zip(seq1 [, seq2 [...]]) -> [(seq1[0], seq2[0] ...), (...)]

Return a list of tuples, where each tuple contains the i-th element
from each of the argument sequences.  The returned list is truncated
in length to the length of the shortest argument sequence.

One option would be,

>>> from operator import sub
>>> c = tuple(map(sub, a, b))
>>> c
(6, 6)

And itertools.imap can serve as a replacement for map.

Of course you can also use other functions from operator to add, mul, div, etc.

But I would seriously consider moving into another data structure since I don't think this type of problem is fit for tuples