Last Updated:2025/11/24
Sentence

d(x,y)=x=yのとき0、x≠yのとき1と定義される距離を用いると、その空間から任意の距離空間への任意の写像は連続になる。

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Using the discrete metric, every function from the space to any metric space is continuous.

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Using the discrete metric, every function from the space to any metric space is continuous.

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Related words

discrete metric

Noun
Japanese Meaning
離散距離(離散メトリック):数学解析の分野で、任意の2点x, yに対し、x = yなら距離が0、x ≠ yなら距離が1となる距離を意味する。
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d(x,y)=x=yのとき0、x≠yのとき1と定義される距離を用いると、その空間から任意の距離空間への任意の写像は連続になる。

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plural

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