Computational aspects of Boolean cubature (Q1895977)
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scientific article; zbMATH DE number 784677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computational aspects of Boolean cubature |
scientific article; zbMATH DE number 784677 |
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Computational aspects of Boolean cubature (English)
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5 March 1996
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A \(d\)-variate Boolean trapezoidal rule is defined as a linear combination of \(d\)-variate tensor product trapezoidal rules: \[ H^{q,d} [f] = \sum^{d-1}_{j=0} (-1)^j {d - 1\choose j} \sum_{k_1 + \dots + k_d = q - j} T(k_1, \dots, k_d) [f]. \] A \(d\)-variate Boolean midpoint rule is constructed similarly. It is shown: One can compute Boolean trapezoidal rules efficiently by a modification of these Boolean midpoint sums.
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Boolean cubature
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Boolean trapezoidal rule
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tensor product trapezoidal rules
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Boolean midpoint rule
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