On Wednesday, September 2, 2020 at 11:11:57 PM UTC-4 David A. Wheeler wrote:

> I think there has been a slow march from one-based indexing to zero based 
> indexing in computing.
>
> Many systems designed two decades ago supported one based indexing, such 
> as R and matlab/octave. But newer systems are pretty much uniformly 
> zero-based.
>
> I realize that abstract mathematics is not the same as computing, but they 
> do influence each other.
>

Every linear algebra textbook I've seen, even relatively recent ones, 
starts at 1 for matrices. I've asked for a counterexample, but no one has 
been able to provide one, suggesting that there is not a trend towards 
using 0-based matrices in the linear algebra literature.

An important question is, who is Metamath intended for? What is its 
audience?

I have no doubt that a professional mathematician can easily feel 
comfortable with either 0 or 1-based matrices.

My concern is for someone who wants to use set.mm as a supplement to a book 
they are learning from. Apparently essentially 100% of linear algebra 
textbooks start at 1. For someone already struggling with new concepts, the 
disconnect between their book and set.mm's 0-based matrices is not going to 
be helpful.

That's about all I want to say on this. I'll accept whatever the rest of 
the people here decide.

Norm 
 

>
> It seems that we can often hide the issue of whether or not matrices are 
> zero based or one based. Perhaps that would be the best course.
> --- David A.Wheeler

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