Last Updated
：2025/11/29
Riemann integral
Noun
Japanese Meaning
リーマン積分：積分の一手法で、積分区間を細かい部分に分割し、各部分における関数の値とその幅の積の総和の極限（分割数が無限大になる場合）を用いて定義される積分法
（ plural ）
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(mathematical analysis) A type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and letting the number of sub-intervals tend to infinity.
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Riemann integral
To determine whether a function is integrable in the sense of a Riemann integral, one examines the limits of Riemann sums as the partition norm approaches zero.
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To determine whether a function is integrable in the sense of a Riemann integral, one examines the limits of Riemann sums as the partition norm approaches zero.
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