Machine epsilon (ϵmach) is the distance between 1 and the next largest number. The number just larger than 1 has a 1 in the 23 rd position after the decimal point. Th...Machine epsilon (ϵmach) is the distance between 1 and the next largest number. The number just larger than 1 has a 1 in the 23 rd position after the decimal point. The spacing between numbers is uniform between powers of 2, with logarithmic spacing of the powers of 2 . That is, the spacing of numbers between 1 and 2 is 2−23, between 2 and 4 is 2−22, between 4 and 8 is 2−21, etc.
