3 ms·

does dimensions have to be orthogonal? different spaces can be transformed...

• sharpneli 12y ago
  When talking about dimensionality they kind of have to be orthogonal. Because otherwise anything can be of arbitrarily large dimension, and thus the whole term loses meaning.
  • josinalvo 12y ago
    just to satisfy a possible curiosity: No Your intuition is in the right direction, but not quite correct. Think of a cartesian plot. Now, think of the Y axis "tilted" to the front. With those 2 "vectors" you can still describe the whole plane (for whatever "describe" means =P) If you tilt it so much the "Y" axis becomes paralel to the X axis, then you lost something. Instead of "orthogonal" what you need is a mathematical property called independence (as in linearly independent) that basically means "not redundant to express a space"