The microstructure of \((t,m,s)\)-nets (Q1347850)
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scientific article; zbMATH DE number 1736575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The microstructure of \((t,m,s)\)-nets |
scientific article; zbMATH DE number 1736575 |
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The microstructure of \((t,m,s)\)-nets (English)
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2 July 2002
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In an article of \textit{A. B. Owen} [J. Complexity 14, 466-489 (1998; Zbl 0916.65017)] the question about the distribution properties of digital \((t, m, s)\)-nets in small intervals was raised. The authors give an algebraic expression as well as upper and lower bounds for the maximum number of points of a \((t, m, s)\)-net in these intervals and also provide a way of improving the distribution properties in some cases.
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distribution properties
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upper and lower bounds
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maximum number of points
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\((t,m,s)\)-net
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0.83448416
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0.8208289
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0.81617165
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0.8131193
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0.8052591
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