Math fun
Paul Dirac has found a method to represent any natural number using only 3 twos and mathematical operations: Where number of square roots is the desired N.
Small experiment confirming this in python up to 51:
Wait, but why?
For fun!
Where number of square roots is the desired N.Small experiment confirming this in python up to 51:
In [1]: import math
In [2]: def rsqrt(i):
...: if i<=1:
...: return math.sqrt(2)
...: return math.sqrt(rsqrt(i-1))
...:
In [3]: def dirac(n):
...: return int(-math.log(math.log(rsqrt(n), 2), 2))
...:
In [4]: dirac(2)
Out[4]: 2
In [5]: dirac(12)
Out[5]: 12
In [6]: dirac(37)
Out[6]: 37
In [7]: dirac(51)
Out[7]: 51Wait, but why?
For fun!
