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I believe even in the context of mathematics orthogonal means independence. I.e., one can move along x and y axis without having y or x value being changed. How
by vishnugupta 9y ago
I believe even in the context of mathematics orthogonal means independence. I.e., one can move along x and y axis without having y or x value being changed. However if you move along any line that's not parallel to x or y axis then both x and y value change simultaneously. That's how I interpret orthogonality in the context of math anyway.
- Maybestring 9y ago>However if you move along any line that's not parallel to x or y axis then both x and y value change simultaneously. A third orthogonal axis is neither parallel to x and y, nor do x and y vary as you move along it. Replace parallel with linearly indepent, and you are spot on.
- romwell 9y agoNo need to replace anything; the implicit assumption is a 2D space.
- Maybestring 9y agoThen you can only talk about two concepts. I would like to be able to say, intelligence, morality, and obesity are mutually orthogonal. If your model is 2D, then you are requiring a relationship between at least two of them.
- romwell 9y agoThe example was in 2D. The reader is able to generalize from there, we hope, no? :)
- Maybestring 9y agoAs long as you don't rely on concepts that don't generalize to higher dimensions. To the extent that you use concepts that don't generalize in your example, you are using a poor example.