| 1. | There are several procedures for constructing outer measures on a set.
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| 2. | These partitions of A are subject to the outer measure.
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| 3. | The function ? above is an outer measure on the family of all subsets.
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| 4. | Whether this outer measure translates to the Lebesgue measure proper depends on an additional condition.
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| 5. | That characterizes the Lebesgue outer measure.
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| 6. | Then is an outer measure on.
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| 7. | Outer measures are generally only subadditive.
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| 8. | The measure arises from an outer measure ( in fact, a metric outer measure ) given by
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| 9. | The measure arises from an outer measure ( in fact, a metric outer measure ) given by
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| 10. | For example, Rogers ( 1998 ) uses " measure " where this article uses the term " outer measure ".
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