Mathematicians can, and do, use both, and would arguably be better of with 0-based. Mathematicians sometimes need to use partitioned matrices, and describing th

Mathematicians can, and do, use both, and would arguably be better of with 0-based. Mathematicians sometimes need to use partitioned matrices, and describing the start and end indices of those partitions goes better with 0-based indexing of matrix elements, so that the top left element is at 0,0. It's horrible if you have to work with such things in 1-index based matlab, the amount of nested +1 and -1 corrections you need to type...