MYSTERY NUMBER π

The number π is a mathematical constant (besides it is irrational and transcendental).

Here we will present a decimal count of the number π, namely, each sequence of decimals, e.g. a sequence of three decimals (or 4, 5 or more decimals) is one variation with repeating class 3 of the 10 elements (0 to 9).

Rule: If we have chosen a sequence of three decimals, then there are variations with repetition of class 3 of the 10 elements (0 to 9).

k – length of a sequence or length of a class

n – number of elements

If it is k = 3, n = 10 , it is nk = 103 = 1000.

So, we have a total of 1000 variations with a repetition for the given case. Any three member sequences of decimals can be found in a set of 1000 variations with repetition. If we select a sequence of 4 decimals then we have analogous 104 variations, etc.

If we place ten balls numbered from 0 to 9 in the drum, and if we pull out three balls so that each drawn ball is returned to the drum (that is, the physical equivalent of variation with repetition), we will get the distribution of variations in the sense that we will draw more unreliable / chaotic variations from those arranged. For example. more often we will have 521 out of 125. If we look at the decimals of the number π we see that the variations with repetition of 000, 111, 222, 333, etc. incomparably more rarely along the development of decimals.

This agrees with Chaos Theory according to which the system is extremely sensitive to the initial conditions. Therefore, after returning the drawn ball again into the drum, it is very unlikely that the balls are in identical position with each other, which would result in the re-emergence of the same ball.

In the game of luck, Loto (7 of 39) did not happen to repeat the same numbers in two rounds; it also did not happen that numbers 1, 2, 3, 4, 5, 6 and 7 were drawn out (although this is a variation without repeating when drawing then the variation would be rescheduled without repeating in a combination without repetition by integrating numbers in size).

If we do the analysis of the „editable“ variation with repetition, we will see that the decimal number sequences π follow this tertiary distribution of variations with repetition in relation to the „degree of arrangement“.

So, in addition to the assertion that the number π mathematically constant can be added to the assertion that the number π is a physical constant!

(For complete work and documentation contact the author at   pangaric@gmail.com )

 

Advertisements