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- W2917590914 abstract "It is shown that the notion of the length of an interval defines a measure on the ring generated by left-closed-right-open intervals in the real line ℝ. Using the method of Caratheodory, the Lebesgue measure is constructed on ℝ and its important properties are studied. Generalizations to ℝN,N ≥ 2, are also described. The property of translation invariance, and its consequences, are discussed." @default.
- W2917590914 created "2019-03-02" @default.
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- W2917590914 date "2019-01-01" @default.
- W2917590914 modified "2023-09-25" @default.
- W2917590914 title "The Lebesgue measure" @default.
- W2917590914 doi "https://doi.org/10.1007/978-981-13-6678-9_2" @default.
- W2917590914 hasPublicationYear "2019" @default.
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