In another one of my classes we're currently talking about various vector spaces, specifically Euclidean, Affine, and Projective spaces. I kind of just want to test my understanding. A Euclidean space is an n-dimensional space located at the origin. An affine space is like a Euclidean and is also n-dimensional, but it's not located at the origin. And a projective space is an n-1 dimensional space where points in the space come from where rays in a higher dimensional space intersect with the lower dimensional space. How accurate is my understanding?
keenan
@djevans Yep, your understanding sounds accurate but not precise. :-) But definitely on the right track!
In another one of my classes we're currently talking about various vector spaces, specifically Euclidean, Affine, and Projective spaces. I kind of just want to test my understanding. A Euclidean space is an n-dimensional space located at the origin. An affine space is like a Euclidean and is also n-dimensional, but it's not located at the origin. And a projective space is an n-1 dimensional space where points in the space come from where rays in a higher dimensional space intersect with the lower dimensional space. How accurate is my understanding?
@djevans Yep, your understanding sounds accurate but not precise. :-) But definitely on the right track!