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单词 principal value integral
释义

principal value integral

A certain type of improper integral, due to Cauchy, commonly abbreviated to PV. For example, the integral inline does not converge. There is infinite area above the x-axis and infinite area below it. The integral inline does not have a limit, as R,S tend to infinity. However, the limit inline does exist, equalling 0, and this would be its PV. Similarly, an integral inline can be assigned a PV of 2, by adding the integrals on (0,1–ε) and (1 + ε,2) and letting ε tend to 0.

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更新时间:2025/4/30 4:11:57