Category:Canonical P-adic Expansion of Rational is Eventually Periodic
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This category contains pages concerning Canonical P-adic Expansion of Rational is Eventually Periodic:
Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers for some prime $p$.
Let $x \in \Q_p$.
Then:
- $x$ is a rational number if and only if the canonical expansion of $x$ is eventually periodic.
Pages in category "Canonical P-adic Expansion of Rational is Eventually Periodic"
The following 14 pages are in this category, out of 14 total.
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- Canonical P-adic Expansion of Rational is Eventually Periodic
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 1
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 10
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 11
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 2
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 3
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 4
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 5
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 6
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 7
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 8
- Canonical P-adic Expansion of Rational is Eventually Periodic/Lemma 9
- Canonical P-adic Expansion of Rational is Eventually Periodic/Necessary Condition
- Canonical P-adic Expansion of Rational is Eventually Periodic/Sufficient Condition