outer measure sentence in Hindi

Examples

1. Thus, we have the following definition : Let \ mu ^ * be an outer measure on a set X.
2. The Lebesgue outer measure emerges as the greatest lower bound ( infimum ) of the lengths from among all possible such sets.
3. Both versions concern the bisection of subsets of a common set, where has a Carath�odory outer measure and each has finite outer measure.
4. Both versions concern the bisection of subsets of a common set, where has a Carath�odory outer measure and each has finite outer measure.
5. Among the publications of Hausdorff in his time at Greifswald time the work " Dimension and outer measure " from 1919 is particularly outstanding.
6. It can be seen that H ^ d ( S ) is an outer measure ( more precisely, it is a metric outer measure ).
7. It can be seen that H ^ d ( S ) is an outer measure ( more precisely, it is a metric outer measure ).
8. The first part of the definition states that the subset E of the real numbers is reduced to its outer measure by coverage by sets of intervals.
9. The measure-category duality provides a measure analogue of Luzin sets  sets of positive outer measure, every uncountable subset of which has positive outer measure.
10. The measure-category duality provides a measure analogue of Luzin sets  sets of positive outer measure, every uncountable subset of which has positive outer measure.