Wow!
What a lengthy discussion, It’s the time to close down this forum , normally dimension is s property of the element
Example like
Location Latitude longitude
(Delhi)India 7193
And Table is much more than an array ,
Example each column (in a primary key ) is a dimension with proper tag or name , and more than one element can be attached to each dimension ,that is the columns other than primary key
A modern Data base is far away from ,BASIC and FORTRAN , and there is much difference in Compiler design and Database Programming.
To the maximum a database programmer may go up to the SET theory and not below that,
Too much of information will lead to disaster
regards
john