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In mathematics, Budan's theorem is a theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number. It was published in 1807 by François Budan de Boislaurent.
History, Descartes' rule of signs & Sign variation
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displaystyle theorem budan's sign fourier's polynomial real roots signs number sequence century one theorems rule 19th budan descartes' coefficients interval
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Budan's theorem | is a | theorem for bounding the number of real roots of a polynomial in an interval | 0.90 | text |
| Budan's theorem | is a | following | 0.90 | text |
| Budan's theorem | related to Budan's statement | Given | 0.60 | section |
| Budan's theorem | related to Budan's statement | Let | 0.60 | section |
| Budan's theorem | related to Budan's statement | In | 0.60 | section |
| Budan's theorem | related to Budan's statement | Budan's | 0.60 | section |
| Budan's theorem | related to Examples | Given | 0.60 | section |
| Budan's theorem | related to Examples | Thus | 0.60 | section |
| Budan's theorem | related to Examples | Budan's | 0.60 | section |
| Budan's theorem | related to Fourier's statement | Fourier's | 0.60 | section |
| Budan's theorem | related to Fourier's statement | Fourier | 0.60 | section |
| Budan's theorem | related to Fourier's statement | Budan | 0.60 | section |
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