SIZE()

[DrD]

(06-24-2015 08:43 AM)Gerald H Wrote:  Ecce enlightenment!

A number is not a vector, a vector is not a matrix, a matrix is not a hyper matrix....

I think a number could be most anything, subject to constraint by context.

The way the number is represented, as an element of an array such as a list, vector, matrix, tensor, etc., helps clarify the constraints. Just because there is only one element in the array, doesn't change the fact that other elements may enter into the basis, or perhaps other elements ARE/WERE there, just that they are zero, and subsequently omitted, for example:

M1:=[[6]]; // Hyper matrix, a matrix of matrices, containing a single matrix vector
M1(1) == [6]; // Matrix containing a single vector
M1(1,1) == 6; // a number, an element of the matrix vector, and of the Hyper matrix

Generally, matrices are a collection of vectors, which are a collection of numbers, or perhaps other things, forming some sort of array.

So, I think a number can be described as a 1xn or nx1 vector, or matrix, unless defined otherwise in some context.