Main article.

If we now turn to the end result

43.19,

then because of the connectedness of the numbers

49, 42, 38, 42, 44, ...

the mathematical expectation of its square of error can no longer be expressed by

on the contrary, corresponding to the results of the initial arrangement of the letters in hundreds, it can be expressed (of course, approximately) by the number

The connectedness of the numbers as mentioned appears when their sums are combined in twos, fours, and particularly in fives. If we calculate for these 100, 50, and 40 combinations the sums of the squares of their deviations from

86.4, 172.8, and 216,

instead of

5788.8

we obtain the numbers

3551.6, 3089.2, 1004,

the last of which is nearly six times smaller than 5788.8.



<< previous page