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In mathematics, particularly measure theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change between two functions that are equal almost everywhere. One way of thinking of the essential range of a function is the set on which the range of the function is 'concentrated'.

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  • In mathematics, particularly measure theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change between two functions that are equal almost everywhere. One way of thinking of the essential range of a function is the set on which the range of the function is 'concentrated'. (en)
  • 数学の特に測度論の分野において、ある函数の本質的値域(ほんしつてきちいき、英: essential range)とは、直感的にはその函数の「無視できない」値域のことを言う。ある函数の本質的値域を考える一つの方法として、その函数の値域が最も「集中される」ような集合、というものがある。本質的値域は、測度空間上の実あるいは複素数値可測函数に対して定義することが出来る。 (ja)
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  • In mathematics, particularly measure theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change between two functions that are equal almost everywhere. One way of thinking of the essential range of a function is the set on which the range of the function is 'concentrated'. (en)
  • 数学の特に測度論の分野において、ある函数の本質的値域(ほんしつてきちいき、英: essential range)とは、直感的にはその函数の「無視できない」値域のことを言う。ある函数の本質的値域を考える一つの方法として、その函数の値域が最も「集中される」ような集合、というものがある。本質的値域は、測度空間上の実あるいは複素数値可測函数に対して定義することが出来る。 (ja)
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  • Essential range (en)
  • 本質的値域 (ja)
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