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Ranking Approximations

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Approximations makes engineering possible, but which approximations are the most useful? Our brains are not perfect databases. Therefore, this is my attempt at keeping track and ranking approximations by frequency of encountering in my life. This also naturally leads to the question of whether there is a program that will give you a list of possible approximations of a certain equation, which implies it knows which ones are useful. ( Claude's list of existing programs , I sense a novel tool to be made :) ) Total Freq. Approximation Use Case Freq. 1 optics x1,  0 0, Similarly for numerical equalities Total Freq. Equality Use Case Freq. 1 optics x1, 0 0