I need to show that in double arithmetics, according to IEEE standard, floating point numbers are uniformly distributed in set [1,2] with an interval of 2^-52.
In other words, any floating point number x can be shown as: x = 1 + k * epsilon. where: epsilon = 2^-52.
I have no clue how to do this, is generating random numbers from given set a good start? Is there any way to generate all of the numbers from a given set?
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