I do not like the idea to regard words as vectors - these are two completely different concepts. Words have prefixes and suffixes, can be concatenated, and subwords can be extracted - what would all of these mean for vectors? On the other side, vectors can be added and multiplied by scalars (and matrices), not meaningful for words. Therefore, the question which indices to use for words and which for vectors/matrices can/should be discussed (and decided) separately. I would prefer indices starting with 0 for words, and indices starting with 1 for vectors and matrices.
On Wednesday, September 2, 2020 at 8:12:50 PM UTC+2 Norman Megill wrote: > I don't want to be the one making the decision on this, in part because I > won't be doing the bulk of the work, and I don't really have special > expertise in the matter. It just seems that starting at 0 goes against > virtually all of published mathematics on matrices. > > I would feel better if someone could find a book on linear algebra with > matrices starting at 0. I was unable to find one. Even Cormen et. al. > _Algorithms_ (which is computer-science oriented) start at 1 in their > chapter on matrices. > > What is the connection between words and matrices in the literature, and > how does it handle the 0- vs. 1-based conversion? Is all or most of the > literature on words 0-based? > > BTW it seems that the main computer algebra languages start at 1 > (Mathematica, Matlab and R are mentioned): > > https://mathematica.stackexchange.com/questions/86189/why-do-mathematica-list-indices-start-at-1 > > Norm > -- You received this message because you are subscribed to the Google Groups "Metamath" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/metamath/9641256d-7572-4e1d-a85d-b4d011a472b8n%40googlegroups.com.
