Last Updated
：2025/11/26
positive measure
Noun
Japanese Meaning
数学的解析において、σ‐加法族上で定義され、値域が [0,∞] であり、可算加法性を満たす非負の関数。すなわち、集合に対して0以上の値を割り当て、可算加法性を持つ測度のことを指す。
（ plural ）
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(mathematical analysis) A function whose domain is a σ-algebra, whose codomain is [0,∞], and which is countably additive.
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positive measure
The theorem guarantees that if a measurable set has positive measure, then there exists a nonzero integrable function supported on that set.
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The theorem guarantees that if a measurable set has positive measure, then there exists a nonzero integrable function supported on that set.
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