There is a reason for suffix notation, and we will come to it shortly.
In suffix notation all indices are written as subscripts.
We used it (unknowingly) when we were multiplying matrices:
Orthogonal transformations of vectors and one-forms are identical. There is no need to use superscripts and subscripts to distinguish between them.
Appendix A
On a forum, someone made the comment that if “up” and “down” were not needed, them in the discussion would increase the chances of the students becoming confused.
Everybody uses suffix-only when they want to use one choice exclusively.
In a discussion on Index notation someone wrote “up” goes up and down and “down” goes left and right. Using that, we should write the following for what we have above:
Vectoreverything 