Category:Characterisation of Terminal P-adic Expansion

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This category contains pages concerning Characterisation of Terminal P-adic Expansion:


Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers for some prime $p$.

Let $x \in \Q_p$.


Then:

the $p$-adic expansion of $x$ terminates

if and only if

$\exists a \in \N : \exists k \in \Z : x = \dfrac a {p^k}$

Pages in category "Characterisation of Terminal P-adic Expansion"

The following 3 pages are in this category, out of 3 total.