The Hausdorff dimension of the set of smooth functions (Q1978831)
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scientific article; zbMATH DE number 1449389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hausdorff dimension of the set of smooth functions |
scientific article; zbMATH DE number 1449389 |
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The Hausdorff dimension of the set of smooth functions (English)
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21 May 2000
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This is an abstract of a talk based on the author's preprint with the same title. The author investigates certain compact sets of smooth functions on the unit interval and their measure w.r.t. various Hausdorff measures. The characterization, when the measure is positive, is given within a special class of Hausdorff measures.
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Hausdorff measure
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compact set
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smooth function
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Hausdorff dimension
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0.9115765
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0.90947616
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0.8979565
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0.89523244
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0.89285344
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0.89107907
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