Re: "dimensional analysis"?

Father Ignatius <FatherIgnatius@xxxxxxxxxxxxxxxxxxxx> wrote:

"Evan Kirshenbaum" <kirshenbaum@xxxxxxxxxx> wrote in message
news:oe1andmk.fsf@xxxxxxxxxxxxx
nospam@xxxxxxxxxxxxxxxx (J. J. Lodder) writes:

Indeed, a bit too short. The objects of discourse are finite
dimensional vectors with coefficients in the integers, which form an
algebra.

Why integers? Some treatments for programming languages allowed the
exponents to be at least rationals. That had the advantage that you

Yabbut. The implementations in programming languages of all number types
are nesser celery finite, innit? Meaning, I believe, that they don't form
an algebra. I seem to be hearing many veils rending in the mathematical
temple.

Why?
There clearly is a well-defined multiplication, a unique unit element,
and the product of any two dimensions is again a dimension.

What more could you want for an algebra?

Jan

.

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