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by mikhailfranco
1004 days ago
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Yes, there is an often overlooked unit 1 at the heart of dimensional analysis. It counts discrete things that combine as integers, but are not convertible (commensurate) between different instances of the unit, like apples and oranges. A hen lays 3 eggs a week (1egg/T), and a car factory makes 4,000 cars a week (1car/T). Dimensional analysis says they are both 1/T, but we know they are really not commensurable. P.S. Things that do not combine as integers: water drops (1+1=1); rabbits (1+1=2^t for some time constant t). |
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