----- As the animals left the ark, Noah told them to go forth and multiply. After some while, Noah happened upon two snakes sunning themselves. "Why aren't you multiplying?" Noah asked. The snakes replied, "We can't, we're adders." So Noah and his sons went into the nearby forest and felled some trees. They made a platform of logs onto which they placed the snakes. You see, even adders can multiply on a log table. ----- But seriously, your argument *might* explain why integration and differentiation are unequal, but not why they are markedly different. —Dan
On Dec 16, 2016, at 4:25 PM, Michael Collins <mjcollins10@gmail.com> wrote:
Maybe we can just as well ask "why is multiplication harder than addition" -- i.e. if we have two nontrivial binary operations that obey the distributive law, is it somehow impossible for them to have equal computational complexity?