Estimation of the number of exceptions that a basis set reduced by one point remains a basis set (Q2744708)
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scientific article; zbMATH DE number 1653367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimation of the number of exceptions that a basis set reduced by one point remains a basis set |
scientific article; zbMATH DE number 1653367 |
Statements
7 October 2001
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asymptotic basis
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Estimation of the number of exceptions that a basis set reduced by one point remains a basis set (English)
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A set \(B\subset \mathbb{N}\) is said to be a basis set of order \(h\) if the set \(\mathbb{N}\setminus (hB)\) is finite. Let \(A\) be a basis set of order \(h\), and put \(A_0=\{a\in A : (A\setminus a)\) is not a basis set\}. The authors show that the cardinality of \(A_0\) is \(\leq 5.7\sqrt{\frac{h}{\log h}}\).
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