Wednesday May 3rd
5/3/17 - All Lies
Today I learned:
Most of what I learned in Mathematics at the earlier levels are all lies or half-truths.
Learned about pairwise coprimes and Euler’s Totient and relative primes.
vacuous truth - “A vacuous truth is a statement that all members of the empty set have a certain property.”
One of the things they wanted us to try was a derivation of the Nim game. You can win if you start first and make sure the Nim-sum is zero to win. The goal is to be the last person to pick up a number of pencils that is either 1, 2 or 3.
As you can see -> my sweat and tears
courtesy of “Subtraction_game” on Wikipedia
Took me a while to figure it out. First I thought it was just keeping the numbers not a multiple of three, then I thought I should just mirror the move of my opponent. This is one of those games where it really does have an advantage to start first. See Impartial games.
Developing Simple Commands
Lab for C++
Logic Class continue