If we measure a number, we get an interval. What if we measure a function or an operator? (Q1921299)
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scientific article; zbMATH DE number 915299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | If we measure a number, we get an interval. What if we measure a function or an operator? |
scientific article; zbMATH DE number 915299 |
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If we measure a number, we get an interval. What if we measure a function or an operator? (English)
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11 August 1996
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A measurement information about a function \(f\) yields a sequence \((X_i,Y_i)\) of pairs of intervals with the interpretation that \(x\in X_i\) implies \(f(x)\in Y_i\). A function interval is the set of all functions \(f\) which are consistent with this interpretation. There are several fast algorithms described which treat questions like: Is a constant function in the interval? Or a monotonic function? Or where are the local extrema?
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interval analysis
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measurement information
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function
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function interval
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fast algorithms
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