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Just to be clear - by orthogonal, do you mean mutually exclusive? Is there some visual diagram by which you could illustrate the point? I suppose that since the

Just to be clear - by orthogonal, do you mean mutually exclusive? Is there some visual diagram by which you could illustrate the point? I suppose that since there are 3 components to 'total' power, that such a diagram would be a circle divided into 3 sections or something? I can only imagine a grid with 4 quadrants, but don't know how the quadrants would be labeled, but I'm definitely interested in the concept. How would the diagram be best constructed?

SatvikBeri 14y ago
By orthogonal I mean that you can have any combination of the 3. They're essentially unrelated. You could think of it as a vector (power, presence, warmth.) As a very hypothetical example, Steve Jobs might be (10, 10, 5) while Mother Teresa would be closer to (5, 5, 10). As a visualization, you could think of this as a cube, with the directions representing power, presence, and warmth. One corner would be (0,0,0) and the opposite would be (10,10,10).
- philwelch 14y ago
  "Orthogonal" literally means "perpendicular", so your cube analogy is exactly the correct metaphor.
  - bcbrown 14y ago
    Pedantically, "orthogonal" is an extrapolation of "perpendicular" from two dimensions to an arbitrary number of dimensions.
    - SatvikBeri 14y ago
      If we want to be really pedantic, orthogonal is an extrapolation of perpendicular from R^2 to any vector space with a dot product. But those generalizations came about in the 16th century. The original definition was just "perpendicular", coming from the Greek "orthos" and "gonia", meaning "straight" and "angle" respectively. For some fun reading on the etymology of and history of the word/concept orthogonal, see http://www.etymonline.com/index.php?term=orthogonal&allowed_in_frame=0 http://www.etymonline.com/index.php?term=orthogonal&allo... and http://en.wikipedia.org/wiki/Orthogonal http://en.wikipedia.org/wiki/Orthogonal

SatvikBeri 14y ago

By orthogonal I mean that you can have any combination of the 3. They're essentially unrelated. You could think of it as a vector (power, presence, warmth.) As a very hypothetical example, Steve Jobs might be (10, 10, 5) while Mother Teresa would be closer to (5, 5, 10). As a visualization, you could think of this as a cube, with the directions representing power, presence, and warmth. One corner would be (0,0,0) and the opposite would be (10,10,10).

philwelch 14y ago
"Orthogonal" literally means "perpendicular", so your cube analogy is exactly the correct metaphor.
- bcbrown 14y ago
  Pedantically, "orthogonal" is an extrapolation of "perpendicular" from two dimensions to an arbitrary number of dimensions.
  - SatvikBeri 14y ago
    If we want to be really pedantic, orthogonal is an extrapolation of perpendicular from R^2 to any vector space with a dot product. But those generalizations came about in the 16th century. The original definition was just "perpendicular", coming from the Greek "orthos" and "gonia", meaning "straight" and "angle" respectively. For some fun reading on the etymology of and history of the word/concept orthogonal, see http://www.etymonline.com/index.php?term=orthogonal&allowed_in_frame=0 http://www.etymonline.com/index.php?term=orthogonal&allo... and http://en.wikipedia.org/wiki/Orthogonal http://en.wikipedia.org/wiki/Orthogonal