Videos about numbers and mathematics. Videos by Brady Haran since 2011. Our thanks to Jane Street. Thanks also to SLMath, the Simons Foundation, and our Patreon supporters.
mathematical I am thinking, if you chose 1 and stick with it for multi-seniorio: 1- car, goat, goat (win) 2-goat,car,goat (loss) 3-goat,goat,car (loss) so probability you win 1/3 if you are switch 1- car, goat, goat (loss) 2-goat,car,goat (win) 3-goat,goat,car (win) so probability you win 2/3
0.9999... and 1 don't differ in the real line, this number system doesn't have infinitesimal points. Its like saying 1/∞=0. Even thought this should be the number bigger than 0 but smaller than every real number
I always try to tweak the rules of games, and have developed a twist that I find makes catan even more fun and tactically intriguing: When throwing a 7, you can choose between moving the robber like normal, or you can instead swap two hexagons resource numbers with each other. It makes for a more dynamic (and often longer) game! Also having resource numbers revealed only after the initial start phase (after all starting towns are placed) is a fun twist. Or simply reveal resource numbers that are adjacent to a town as soon as it is placed. I recommended Catan-lovers to give these twist a shot!
As a Canadian, I cannot and will *NOT* relate with double numbers. Canadian numbers are pronounced the same as US numbers. (CGP Grey with a mouth scares me.)
Tree(3) may be universes beyond G64 in size, but G64 is a LOT easier to understand how it is generated, even though we can't even begin comprehend its size. I can't even begin to comprehend how Tree(3) is computed!
"Matrix mechanics" is really something Heisenberg came up with. Quite different from what Dirac did - Heisenberg's work was equivalent to Schrodinger's and was not Lorentz invariant. That's the problem Dirac solved.