Last Updated:2025/11/27
Sentence
素数pのp進絶対値によって定義される超距離 d_p(x,y)=|x-y|_p は、位相的に全く連結でないことや強い三角不等式を満たすなどの驚くべき性質を示す。
Quizzes for review
The p-adic ultrametric d_p(x,y)=|x-y|_p reveals surprising topological properties, such as total disconnectedness and the strong triangle inequality.
See correct answer
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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Related words
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。
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