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You may recall hearing Dave Pelz tell you that the optimal distance a putt has to roll past the hole is 17 inches. How big might you guess the hole is at 17 inches? 4 inches wide? 3 ½? What if I told you that the hole, at 17 inches, was only about 2¼ inches wide? What? Am I crazy? No - it's just math. Consider a well cut hole, and what's required for the putt to go in. For a putt to be holed, it has to have enough time for the ball - 1.68 inches in diameter - to fall half that distance, or 0.84 inches, or more. Gravity is a constant force (9.8 m/s 2 ) and 0.84 inches is a
I found two amazing PDFs that I would like to share with you. https://arxiv.org/pdf/1502.03501.pdf In this paper, every number from 1 to 1000 is written out using each of the nine digits available and only the five basic functions (+, -, x, /, and powers), plus parentheses for grouping. For example: To get the number 422 using only the number 7: 422 = 7 × 7 × 7 + 77 + (7 + 7)/7. To get the number 814 using only the number 2: 814 = 22 × (2 + 2 + 2)2 +22. https://arxiv.org/pdf/1302.1479.pdf In this paper, every number from 1 to 11,111 (except 10,958 in ascendin