08-11-2017, 04:46 AM
(This post was last modified: 08-12-2017, 05:46 PM by MarkHaysHarris777.)
Here is another sample run :
Code:
pine64@pinebook:~/Python/PI_million$ ./pi_digit_dist pi_1000k_out 777 37699
./pi_digit_dist
0 = 84
1 = 84
2 = 77
3 = 69
4 = 80
5 = 68
6 = 74
7 = 72
8 = 92
9 = 77
max = 8 (92)
min = 5 (68)
sum = 777.000 Σx
mean = 77.700 μ
sqrs = 506.100 Σ(x-μ)²
Sqrs = 60879.000 Σ(x)²
variance = 56.233 Σ(x-μ)²/(n-1)
σ = 7.114 √(Σ(x-μ)²/n)
s = 7.499 √(Σ(x-μ)²/(n-1))
If you were to look at 777 digits (within the first 1000000) from anywhere in the file (pick any offset) you will notice that the digits are still highly normalized, similar variance and similar standard deviation ! The spread in fact will be almost identical; perhaps one day there will be a rigorous proof of this conjecture.
marcushh777
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please join us for a chat @ irc.pine64.xyz:6667 or ssl irc.pine64.xyz:6697
( I regret that I am not able to respond to personal messages; let's meet on irc! )