With Shapiro-Wilk and Pearson’s rho in statistics, how was it developed? Like constantly? How do we determine the right formulas for a certain statistics, certain calculus, etc?
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Math builds upon itself. First there was basic addition. Then multiplication and division. Zero was developed at some point. Algebra came along and allowed for a whole bunch of new types of math. From there we got calculus, which also opened up whole new doors. At this point, new math was often developed/discovered to be able to explain new, more complicated things, like big discoveries in the field of theoretical physics. Math continues to this day to build on all the math that came before it.
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