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Budan's theorem

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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History

8 related topics

Descartes' rule of signs

3 related topics

Sign variation

2 related topics

Fourier's statement

2 related topics

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Overview

Sign variation

Descartes' rule of signs

Budan's statement

Fourier's statement

History

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Map overview Semantic statistics

Budan's theorem

Nodes27
Edges26
Triples16
Avg. degree1.93
Density0.074074
Components1

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Budan's theorem

Top relations

related to Fourier's statement · 7
Budan's theorem → Budan, Budan's, Each, Fourier, Fourier's, Taylor, This
related to Budan's statement · 4
Budan's theorem → Budan's, Given, In, Let
related to Examples · 3
Budan's theorem → Budan's, Given, Thus
is a · 2
Budan's theorem → following, theorem for bounding the number of real roots of a polynomial in an interval

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Important terminology

displaystyle theorem budan's sign fourier's polynomial real roots signs number sequence century one theorems rule 19th budan descartes' coefficients interval

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Budan's theoremis atheorem for bounding the number of real roots of a polynomial in an interval0.90text
Budan's theoremis afollowing0.90text
Budan's theoremrelated to Budan's statementGiven0.60section
Budan's theoremrelated to Budan's statementLet0.60section
Budan's theoremrelated to Budan's statementIn0.60section
Budan's theoremrelated to Budan's statementBudan's0.60section
Budan's theoremrelated to ExamplesGiven0.60section
Budan's theoremrelated to ExamplesThus0.60section
Budan's theoremrelated to ExamplesBudan's0.60section
Budan's theoremrelated to Fourier's statementFourier's0.60section
Budan's theoremrelated to Fourier's statementFourier0.60section
Budan's theoremrelated to Fourier's statementBudan0.60section

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