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单词 Riemann Sum
释义

Riemann Sum

Let a Closed Interval be partitioned by points , the lengths of the resultingintervals between the points are denoted , , ..., . Then the quantity


is called a Riemann sum for a given function and partition. The value iscalled the Mesh Size of the partition. If the Limit exists, this limit is knownas the Riemann Integral of over the interval . The shaded areas in the above plots show the Lower and Upper Sums for a constant Mesh Size.

See also Lower Sum, Riemann Integral, Upper Sum
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更新时间:2025/4/4 16:17:48