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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
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Scientific Calculators should shape like a laptop

There are too many keys, too many functions, too many equations, too many constants. We need more inputs and more intuitive formfactor. We need better tools to solve equations "by hand", yet be assisted by software at the same time. The qwerty layout gives too many keys not used for equations. Whiteboards are too one-topic limited. Graphing calculators don't have enough keys, not enough space to categorize the keys, and keys compete for space with the screen. We need a standard keyboard layout for math, and forget the qwerty (in this case). No, Wolfram, Matlab, MathCAD, and python are not sufficient.
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