p-adic absolute value

名词 n.
中文释义

英文释义

名词 n.
  1. A norm for the rational numbers, with some prime number p as parameter, such that any rational number of the form pᵏ(a/b) — where a, b and k are integers and a, b and p are coprime — is mapped to the rational number p⁻ᵏ and 0 is mapped to 0. (Note: any nonzero rational number can be reduced to such a form.)
    — According to Ostrowski's theorem, only three kinds of norms are possible for the set of real numbers: the trivial absolute value, the real absolute value, and the p'''-adic absolute value.ᵂᴾ

词形变化

p-adic absolute values plural
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