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Outer Measure is always greater than or equal to the inner measure. If the set is Lebesgue measurable, then they are equal.

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Outer Measure is always greater than or equal to the inner measure. If the set is Lebesgue measurable, then they are equal.

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The measure of area is Lebesgue measure on the plane.

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Roughly speaking, the outer measure contains all the subset of the given set so it measures everything inside.

Ps. If the outer measure is equal to inner measure then it is called "Lebesgue measure"

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Philéas Lebesgue died in 1958.

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Philéas Lebesgue was born in 1869.

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