| 1. | Likewise, if the infimum exists, it is unique.
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| 2. | The infimum taken over all coverings of by countably many semiopen intervals.
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| 3. | (The infimum is over all countable covers of"
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| 4. | The infimum of the empty set is taken to be + \ infty.
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| 5. | So far we have found a bound with an infimum over \ theta.
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| 6. | The infimum is in a precise sense analysis, and especially in Lebesgue integration.
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| 7. | Obviously, when since the infimum is taken over a smaller class as decreases.
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| 8. | This lets us replace the infimum by minimum:
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| 9. | Thus, the essential supremum and the essential infimum of this function are both 2.
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| 10. | Where the infimum is taken over the smooth real-valued functions f on M.
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