Question

guys a thing is possbile like that? i mean the 0d or -1d... 3D has x,y,z, 2D has x,y , 1D has only x, and i'm speaking about 0D, which will have no dimensions... and then -1D, which will have -1 o.O is this possible? how can we define them in maths? or is this proovable?

Answer 1

*bookmark*

Answer 2

Maybe this needs to be expanded :
http://en.wikipedia.org/wiki/Dimentions#Additional_dimensions

:)

Answer 3

The basic definition of dimension in mathematics has to do with the concept in class of algebraic objects called vector spaces.

For example, the set
\[\mathbb{R}^3 = \{ (x,y,z) \ | \ x, y, z \in \mathbb{R} \}\]
together with the usual definitions of addition of vectors and multiplication by scales is an example of such a vector space. This vector space has dimension 3 because it turns out you can write every member of the set as the linear combination of three other fixed vectors. That set of fixed vectors is called the basis of the vector space.

It is clear that negative dimension makes no sense. Although it is possible to have a zero dimensional vector space: it has one element, zero.

There are other notions of dimension that give fractional answers (like 1 1/2) that comes from fractal theory. But ever there, negative dimension is meaningless.

Answer 4

adgadgadgwngo might have some additional insights into this :)

Answer 5

yeap negatives are a bit meanignless. but nothings probability to be is 0, its always bigger then 0, can be %0.00000001 or something else, but even that can be... :D

Answer 6

A point is defined as 0-D.