"Deane Yang" <deane_yang@yahoo.com> wrote
Noah Stein wrote:
Others, such as I, view the natural geometry to be a Grassmann space which supports the addition and scalar weighting of points. Addition of points is a natural and proper operation. Unfortunately, the best discussion I've seen requires access to the ACM Digital Library: http://portal.acm.org/citation.cfm?id=504792 .
(long discussion omitted)
This is a very cool idea for those who are willing to understand the geometry behind it all, but I suspect it's a little too mysterious for most users of the units library. Also, don't you need to store two numbers for each scalar quantity? Isn't that a little costly in both space and computation time? I think your approach makes more sense for points in more than one dimension, where storing n-dimensional points as (n+1)-vectors is less costly.
As I understand it a grassman_point would only be used for intermediate results of an addition. regards Andy Little