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Take an image and force all colors to the same saturation, and you may get an idea. If nothing else, there is advantage to extracting as much detail from the signal as rapidly as possible. Not everything has to have a direct, straight line relationship; second-order and third-order effects are perfectly selectable too. In fact straight-line relationships are the exception; even the ones we think we see are the confluence of a lot of individual second- and nth-order outcomes.

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