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Wouldn't things that are some combination of continuous variables be called a "space", and not a "spectrum", in the common usage of those terms? To use the colo
by bschne 5y ago
Wouldn't things that are some combination of continuous variables be called a "space", and not a "spectrum", in the common usage of those terms? To use the color example in this post, we for instance talk about the RGB or CMYK color space if we mean to say that a color is a combination of those primary colors.
Additionally, there was an ACX post a while back [1] talking about how to model psychiatric conditions (the author of which is a psychiatrist) which did talk about spectrum meaning that it is along a continuous axis of severity instead of being something you either have or don't. While it didn't talk about separate symptoms, I'd venture a guess that they are usually reasonably correlated if something is assigned it's own diagnosis, and in many cases it may be more meaningful to reduce dimensionality to a 1D spectrum instead of looking at every variable in isolation?
1. https://astralcodexten.substack.com/p/ontology-of-psychiatric-conditions https://astralcodexten.substack.com/p/ontology-of-psychiatri...
- stared 5y agoIn general, spectrum is an infinitely-dimensional vector space. For each frequency, you get a value. Using "spectrum" for a "scalar" is a misnomer.