Budan's theorem, published in 1807 by Francois Budan de Boislaurent, is a result in mathematics that bounds the number of real roots of a polynomial within a given interval and determines the parity of that count.
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StatementBudan'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. 1 Classification
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Sources
1. Budan's theorem - Wikipedia
Lead paragraph, sentence 1
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.
Lead paragraph, sentence 2
It was published in 1807 by Francois Budan de Boislaurent.
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