Last Updated
：2025/11/24
uniform metric
Noun
Japanese Meaning
数学解析において、一様収束の概念を定式化するために用いられる距離。具体的には、定義域上の全ての点での関数値の差の上界（極大値）を距離として定義する。
（ plural ）
Quizzes for review
(mathematical analysis) The metric 𝜌(f,g)= sup _(x∈X) where f and g are functions on X.
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uniform metric
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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