User talk:Joonojob

Dimension
Your comment on Dimension was deleted for two reasons, although not by me, and I'm giving an explanation here as to why since the editor in question didn't. First, comments on Wikipedia articles can only be placed in their talk pages, for example: Talk:Dimension. Second, a circle is a one-dimensional object embedded in two-dimensional space. Why one-dimensional? Because one needs one coordinate to parametrize the circle, rather than two: describing a circle as a subset of the complex plane, for example, by saying that it is the image of the function
 * $$f : [0, 1] \rightarrow \mathbb{C}$$

defined by
 * $$f(t) = e^{2\pi i t}\,$$

means that only one coordinate was used to define it, yet it's embedded in two-dimensional space. That makes a circle one-dimensional.

Another example would be a line embedded in three-dimensional Euclidean space. We wouldn't want the line to be three-dimensional just because it's in a three-dimensional ambient space, and indeed, a line is again a one-dimensional object. We also regard the surface of the Earth as two-dimensional: in order to pinpoint a location on the surface of the Earth one only needs longitude and latitude, not three coordinates.

I hope this answers any question you had. Xantharius (talk) 19:08, 24 October 2008 (UTC)

Electric Flight Takes Off at Oshkosh
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