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Benedict Irwin edited The 21 thing.tex
over 9 years ago
Commit id: 5e705a9e87ec103056032b17c6b9440fd624b6c4
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diff --git a/The 21 thing.tex b/The 21 thing.tex
index 2a8990f..7e49f1e 100644
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...
So it appears true for lots of them.
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 (! important). Denoted $\Delta_i d_i$,...
\begin{equation}
\frac{(\Delta_i d_i ;; n)}{\Delta_i d_i} = \frac{(\Delta_i e_i ;; n)}{\Delta_i e_i}
\end{equation}