pi-stat-1

Last Update 2011/12/11
©
JVSchmidt 2011

Analyzing 100.000.000.000 Decimal Digits of π

GENERAL CONSIDERATIONS / EXPECTED VALUES

Box Analysis

Dividing data into substrings of length L (called boxes) we can test whether a certain digit is part of the box or not.
The chance to find a certain digit [0..9] inside the box is simply     wL= 1 - (9/10)L

RESULTS

The Pi-Data was divided into 100 blocks (subregions) of equal amount.
We proofed any digit from 0 to 9 to fall into the boxes.
Finally, we had 10*100=1000 collecting elements.

Box analysis was produced for box length L=1,2,3,4,5,10.

box_ana_01

We give result details for box length L=10 as an example.

box_ana_02a
box_ana_02b