deletions | additions       diff --git a/The 21 thing.tex b/The 21 thing.tex  index 7e49f1e..953f3c4 100644  --- a/The 21 thing.tex  +++ b/The 21 thing.tex 
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It is more obvious when one states that $99999/9=88888/8$.  More generally it appears true that for seqences $d_1d_2\cdots d_N$, $e_1e_2\cdots e_N$ of the same number of digits $N$,  (! important). Denoted $\Delta_i d_i$,... \begin{equation}  \frac{(\Delta_i \frac{(\Delta_i^N  d_i ;; n)}{\Delta_i n)}{\Delta_i^N  d_i} = \frac{(\Delta_i \frac{(\Delta_i^N  e_i ;; n)}{\Delta_i n)}{\Delta_i^N  e_i} \end{equation}  This is good. There are then some constants $k^n_N=(1|(0;N-1));n$, which result from dividing a sequence of $N$ digits repeated $n$ times.  Consider if this is ever used in physics... Could be interesting, for example if the charges in a system or states perhaps with $0,1$ compounded into a sequence which could be compared to another.