Definition:P-adic Norm/Rational Numbers

Also see

 * Leigh.Samphier/Sandbox/Equivalence of Definitions of P-adic Norms


 * $p$-adic Norm is Norm where it is shown that the $p$-adic norm is a norm on the rational numbers.


 * $p$-adic Norm is non-Archimedean Norm where it is shown that the $p$-adic norm is a non-Archimedean norm on the rational numbers.


 * $p$-adic Norm and Absolute Value are Not Equivalent where it is shown that the $p$-adic norm yields a different topology on the rationals from the usual Euclidean Metric.


 * $p$-adic Norms are Not Equivalent where it is shown that the $p$-adic norms for two distinct prime numbers are not equivalent norms.