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> 0 based indexing

I mean, zero based indexing isn't exclusive to computing. Plenty of times in physics or math we do x_0 for the start of a sequence vs x_1.

Although, fair, our textbook had the definition of a sequence being a mapping of elements to z+, which is zero exclusive

Both zero-based and one-based indexing is common in mathematics, for example polynomials, exponential series, transforms, etc. are often zero-based.

But in most of the literature that I've seen, vectors and matrices tend to number elements starting with 1.