R Rory New member Apr 13, 2010 #1 Let [x] denote the fractional part of x, so [x] = x - (floor of x) If a is irrational, show that the sequence of numbers [a], [2a], [3a], ...... is dense in the closed interval between 0 and 1.
Let [x] denote the fractional part of x, so [x] = x - (floor of x) If a is irrational, show that the sequence of numbers [a], [2a], [3a], ...... is dense in the closed interval between 0 and 1.
