They aren't equivalent though -- for example if I memorize "3.14159" then I can increase my precision by just memorizing as many more digits as I want. The mem

They aren't equivalent though -- for example if I memorize "3.14159" then I can increase my precision by just memorizing as many more digits as I want. The memorization I've already done isn't "wasted". With the fraction version I can't / it is.