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Coming to think of that...
Paranormal things such as "ghosts" can perhaps be explained as each one of them being a 4D object that can individually change one of its vector elements to 0 to be visible to the human eye.
Thus making them live on the visible fourth layer. Since dogs might "sense" such paranormal things according to myths (I am not sure here. Just making an assumption since we are still talking about myths). Dogs probably live in 3D as well as in the 4D world.
Or what if they can delete or add vector members? Hmmm
irene47499dA non self intersecting curve in an n-dimentional space is a 1-dimentional subspace.
I hope I blew your mind 😏
Take a cube, 3d object, and observe it's one side. You fully see a squre, not a gost of a square.
Curves can also be multidimensional.
Sorry,vI couldn't not comment.
irene47499d@-ANGRY-CLIENT- you can select any point on a curve and a direction along the line which is positive. Then you can define any other point on that curve by a signed distance from the pivot point along the curve.
Basically any non intersecting curve is topologically exact same as a straight line.
halfflat2159dA vector is 1-d by virtue of it being a member of a particular set (viz. a 1-d vector space).
You can embed a 1-d vector space in a higher dimensional one, but that embedding is not unique!
By implicitly regarding this 1-d vector as a k-d vector by zero extension, one is privileging a particular set of embeddings: whether this is reasonable or not really depends upon the context.
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