Last Updated:2025/11/24

To decide whether a sequence of functions converges uniformly on X, analysts often use the uniform metric, defined by ρ(f,g)=sup_{x∈X}|f(x)-g(x)|.

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To decide whether a sequence of functions converges uniformly on X, analysts often use the uniform metric, defined by ρ(f,g)=sup_{x∈X}|f(x)-g(x)|.

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関数列が集合X上で一様収束するかを判断するために、解析学者はしばしば一様距離(ρ(f,g)=sup_{x∈X}|f(x)-g(x)|)を用いる。

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