Last Updated
：2025/11/27
p-adic ultrametric
Noun
Japanese Meaning
「p-adic ultrametric」とは、数論の分野で、素数pをパラメーターとする超距離（ultrametric）を意味し、2つの有理数x, y間の距離を、差x - yのp進絶対値 |x-y|ₚ により定義する。
（ plural ）
Quizzes for review
(number theory) The ultrametric with prime number p as parameter defined as d_p(x,y)=|x-y|ₚ; i.e., such that the distance between two rational numbers is equal to the p-adic absolute value of the difference between those two numbers.
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p-adic ultrametric
The p-adic ultrametric d_p(x,y)=|x-y|_p reveals surprising topological properties, such as total disconnectedness and the strong triangle inequality.
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The p-adic ultrametric d_p(x,y)=|x-y|_p reveals surprising topological properties, such as total disconnectedness and the strong triangle inequality.
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