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单词 Absolutely continuous function
释义

Absolutely continuous function

中文百科

绝对连续 Absolute continuity

(重定向自Absolutely continuous function)

在数学中,绝对连续是一个光滑性质,比连续和一致连续都要严格。函数的绝对连续和测度的绝对连续都有定义。

英语百科

Absolute continuity 绝对连续

(重定向自Absolutely continuous function)

In calculus, absolute continuity is a smoothness property of functions that is stronger than continuity and uniform continuity. The notion of absolute continuity allows one to obtain generalizations of the relationship between the two central operations of calculus, differentiation and integration, expressed by the fundamental theorem of calculus in the framework of Riemann integration. Such generalizations are often formulated in terms of Lebesgue integration. For real-valued functions on the real line two interrelated notions appear: absolute continuity of functions and absolute continuity of measures. These two notions are generalized in different directions. The usual derivative of a function is related to the Radon–Nikodym derivative, or density, of a measure.

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更新时间:2025/6/17 15:52:01