Lebesgue measure on the real line and on
Length of an interval. This is the largest monotonic function which correctly
measures all intervals.
The Lebesgue outer measure, as an outer measure of ℝ.
Definition of the Lebesgue measure and lengths of intervals
Lebesgue measure on the Borel sets
The outer Lebesgue measure is the completion of this measure. (TODO: proof this)
Volume of a box in
Images of the Lebesgue measure under translation/multiplication/...