| 1. | An uncountable cardinal is "'weakly inaccessible "'if it is a regular weak limit cardinal.
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| 2. | On the other hand, by the Riemann Lebesgue lemma, the weak limit exists and is zero.
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| 3. | One example on the real line is the weak limit of the following sequence of measures:
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| 4. | The ordinal & lambda; determines whether \ aleph _ \ lambda is a weak limit cardinal.
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| 5. | Every strongly inaccessible cardinal is also weakly inaccessible, as every strong limit cardinal is also a weak limit cardinal.
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| 6. | Although the ordinal subscript tells whether a cardinal is a weak limit, it does not tell whether a cardinal is a strong limit.
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| 7. | Thus, in general, \ aleph _ \ lambda is a weak limit cardinal if and only if & lambda; is zero or a limit ordinal.
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| 8. | :Passing to a subsequence if necessary, it can be assumed that the sequences have weak limits " u " and " v " in L p.
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| 9. | If " X " and " Y " are weak limit is taken instead of a strong limit, which leads to the notion of a weak G�teaux derivative.
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| 10. | In many applications, the Dirac delta is regarded as a kind of limit ( a weak limit ) of a sequence of functions having a tall spike at the origin.
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