Archive for August, 2014

On convergent-in-area polynomials in the interval [0,1]

August 13th, 2014 No comments

Take any finite or infinite polynomial which converges in area in the interval between [0,1].  We can define equivalence classes on such space by mapping them back to distinct probability distributions, such that each equivalence class with all its elements is a semigroup under a particular operation.  We can extend each semigroup into a group if we incorporate an identity element and inverses.  Now we've created fun to last for a lifetime!  I've included these ideas in version 20 of Compendium.

Part I v20

There is more to come, as we spawn mathematical objects of weirdness that can be related back or extend probability theory.

V19 of Compendium

August 12th, 2014 No comments

I have added version 19 of Compendium! Seems like we've come a long way!  I feel like up to around page 35ish it is pretty solid.  Will still work on tying it to QM more directly.

Part I v19