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There's a perpetual quest in strength sports to create an equation that lets you compare the relative strength levels of athletes in different weight classes. I
by 1-more 6y ago
There's a perpetual quest in strength sports to create an equation that lets you compare the relative strength levels of athletes in different weight classes. In weightlifting the Sinclair formula uses allometric scaling to try to roughly answer the question "if we scaled this lifter to the size of the overall world record holder, how much would we expect them to lift?" That's a decent approach. However for a long time powerlifting used the Wilks formula which was, you guessed it, a 5th order polynomial. Hilariously, there are discontinuities in the formulas. If a man bulks up to a bodyweight approaching 283.034 kg, his Wilks score approaches infinity. Same for a woman at about 208.391kg. But if that's your strategy then don't overshoot as the limit from the right is negative infinity.
Sinclair: https://en.wikipedia.org/wiki/Sinclair_Coefficients https://en.wikipedia.org/wiki/Sinclair_Coefficients
Wilks: https://en.wikipedia.org/wiki/Wilks_Coefficient https://en.wikipedia.org/wiki/Wilks_Coefficient
discontinuities for men in Wolfram Alpha
https://www.wolframalpha.com/input/?i=discontinuities+in+y%3D500%2F%28-216.05%2B16.26x+-0.002388645x%5E2-.00113732x%5E3%2B0.701863*10%5E-5*x%5E4-1.291*10%5E-8*x%5E5%29 https://www.wolframalpha.com/input/?i=discontinuities+in+y%3...
discontinuities for women https://www.wolframalpha.com/input/?i=discontinuities+in+y%3D500%2F%28594.317-27.2384x+%2B0.8211x%5E2-.009307x%5E3%2B4.7316*10%5E-5*x%5E4-9.054*10%5E-8*x%5E5%29 https://www.wolframalpha.com/input/?i=discontinuities+in+y%3...