Friday, September 13, 2013

A formula and proof for the reals

What follows is a proof illustrating my attempt to better understand this notation. I chose the letter f for "floor" and m for "mantissa."



I then wanted to better understand this m.


UPDATE: I have found that this might better be expressed using an integral rather than a sum. Unfortunately, I do not currently have time to explore this in any more depth. A future post will hopefully outline many of the other details.